From d8f521466ef1262a12a35a38a00d065e44343705 Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Mon, 17 Apr 2023 17:02:20 +0000 Subject: [PATCH] chore(deps): bump github.com/go-git/go-git/v5 from 5.4.2 to 5.6.1 Bumps [github.com/go-git/go-git/v5](https://github.com/go-git/go-git) from 5.4.2 to 5.6.1. - [Release notes](https://github.com/go-git/go-git/releases) - [Commits](https://github.com/go-git/go-git/compare/v5.4.2...v5.6.1) --- updated-dependencies: - dependency-name: github.com/go-git/go-git/v5 dependency-type: direct:production update-type: version-update:semver-minor ... Signed-off-by: dependabot[bot] --- go.mod | 19 +- go.sum | 98 +- .../go-crypto/brainpool/brainpool.go | 2 +- .../ocb/rfc7253_test_vectors_suite_a.go | 2 +- .../ProtonMail/go-crypto/openpgp/ecdh/ecdh.go | 111 +- .../go-crypto/openpgp/ecdh/x25519.go | 157 -- .../go-crypto/openpgp/ecdsa/ecdsa.go | 80 + .../go-crypto/openpgp/eddsa/eddsa.go | 91 + .../openpgp/internal/algorithm/aead.go | 2 +- .../openpgp/internal/algorithm/hash.go | 73 +- .../openpgp/internal/ecc/curve25519.go | 171 ++ .../openpgp/internal/ecc/curveInfo.go | 118 - .../openpgp/internal/ecc/curveType.go | 10 - .../openpgp/internal/ecc/curve_info.go | 140 + .../go-crypto/openpgp/internal/ecc/curves.go | 48 + .../go-crypto/openpgp/internal/ecc/ed25519.go | 111 + .../go-crypto/openpgp/internal/ecc/ed448.go | 111 + .../go-crypto/openpgp/internal/ecc/generic.go | 149 ++ .../go-crypto/openpgp/internal/ecc/x448.go | 105 + .../openpgp/internal/encoding/oid.go | 2 +- .../go-crypto/openpgp/key_generation.go | 259 +- .../ProtonMail/go-crypto/openpgp/keys.go | 111 +- .../go-crypto/openpgp/keys_test_data.go | 138 + .../go-crypto/openpgp/packet/aead_config.go | 21 +- .../go-crypto/openpgp/packet/aead_crypter.go | 265 ++ .../openpgp/packet/aead_encrypted.go | 290 +-- .../go-crypto/openpgp/packet/compressed.go | 2 + .../go-crypto/openpgp/packet/config.go | 57 + .../go-crypto/openpgp/packet/encrypted_key.go | 6 +- .../go-crypto/openpgp/packet/notation.go | 29 + .../openpgp/packet/one_pass_signature.go | 6 +- .../go-crypto/openpgp/packet/opaque.go | 15 +- .../go-crypto/openpgp/packet/packet.go | 72 +- .../go-crypto/openpgp/packet/private_key.go | 161 +- .../go-crypto/openpgp/packet/public_key.go | 125 +- .../go-crypto/openpgp/packet/reader.go | 12 +- .../go-crypto/openpgp/packet/signature.go | 269 +- .../openpgp/packet/symmetric_key_encrypted.go | 134 +- .../openpgp/packet/symmetrically_encrypted.go | 273 +- .../packet/symmetrically_encrypted_aead.go | 155 ++ .../packet/symmetrically_encrypted_mdc.go | 256 ++ .../go-crypto/openpgp/packet/userattribute.go | 11 +- .../go-crypto/openpgp/packet/userid.go | 7 + .../ProtonMail/go-crypto/openpgp/read.go | 180 +- .../go-crypto/openpgp/read_write_test_data.go | 111 +- .../ProtonMail/go-crypto/openpgp/s2k/s2k.go | 32 +- .../ProtonMail/go-crypto/openpgp/write.go | 183 +- vendor/github.com/acomagu/bufpipe/CREDITS | 60 + vendor/github.com/acomagu/bufpipe/LICENSE | 21 + vendor/github.com/acomagu/bufpipe/README.md | 10 + vendor/github.com/acomagu/bufpipe/bufpipe.go | 1 + vendor/github.com/cloudflare/circl/LICENSE | 57 + .../cloudflare/circl/dh/x25519/curve.go | 96 + .../cloudflare/circl/dh/x25519/curve_amd64.go | 31 + .../cloudflare/circl/dh/x25519/curve_amd64.h | 111 + .../cloudflare/circl/dh/x25519/curve_amd64.s | 156 ++ .../circl/dh/x25519/curve_generic.go | 85 + .../cloudflare/circl/dh/x25519/curve_noasm.go | 11 + .../cloudflare/circl/dh/x25519/doc.go | 20 + .../cloudflare/circl/dh/x25519/key.go | 47 + .../cloudflare/circl/dh/x25519/table.go | 266 ++ .../cloudflare/circl/dh/x448/curve.go | 104 + .../cloudflare/circl/dh/x448/curve_amd64.go | 31 + .../cloudflare/circl/dh/x448/curve_amd64.h | 111 + .../cloudflare/circl/dh/x448/curve_amd64.s | 193 ++ .../cloudflare/circl/dh/x448/curve_generic.go | 97 + .../cloudflare/circl/dh/x448/curve_noasm.go | 11 + .../cloudflare/circl/dh/x448/doc.go | 20 + .../cloudflare/circl/dh/x448/key.go | 46 + .../cloudflare/circl/dh/x448/table.go | 458 ++++ .../circl/ecc/goldilocks/constants.go | 71 + .../cloudflare/circl/ecc/goldilocks/curve.go | 80 + .../circl/ecc/goldilocks/isogeny.go | 52 + .../cloudflare/circl/ecc/goldilocks/point.go | 171 ++ .../cloudflare/circl/ecc/goldilocks/scalar.go | 203 ++ .../cloudflare/circl/ecc/goldilocks/twist.go | 138 + .../circl/ecc/goldilocks/twistPoint.go | 135 + .../circl/ecc/goldilocks/twistTables.go | 216 ++ .../circl/ecc/goldilocks/twist_basemult.go | 62 + .../cloudflare/circl/internal/conv/conv.go | 140 + .../cloudflare/circl/internal/sha3/doc.go | 66 + .../cloudflare/circl/internal/sha3/hashes.go | 69 + .../cloudflare/circl/internal/sha3/keccakf.go | 385 +++ .../circl/internal/sha3/keccakf_amd64.go | 14 + .../circl/internal/sha3/keccakf_amd64.s | 390 +++ .../cloudflare/circl/internal/sha3/rc.go | 29 + .../cloudflare/circl/internal/sha3/sha3.go | 195 ++ .../circl/internal/sha3/sha3_s390x.s | 33 + .../cloudflare/circl/internal/sha3/shake.go | 79 + .../cloudflare/circl/internal/sha3/xor.go | 15 + .../circl/internal/sha3/xor_generic.go | 33 + .../circl/internal/sha3/xor_unaligned.go | 61 + .../cloudflare/circl/math/fp25519/fp.go | 205 ++ .../cloudflare/circl/math/fp25519/fp_amd64.go | 45 + .../cloudflare/circl/math/fp25519/fp_amd64.h | 350 +++ .../cloudflare/circl/math/fp25519/fp_amd64.s | 111 + .../circl/math/fp25519/fp_generic.go | 317 +++ .../cloudflare/circl/math/fp25519/fp_noasm.go | 13 + .../cloudflare/circl/math/fp448/fp.go | 164 ++ .../cloudflare/circl/math/fp448/fp_amd64.go | 43 + .../cloudflare/circl/math/fp448/fp_amd64.h | 590 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vendor/github.com/cloudflare/circl/internal/sha3/xor.go create mode 100644 vendor/github.com/cloudflare/circl/internal/sha3/xor_generic.go create mode 100644 vendor/github.com/cloudflare/circl/internal/sha3/xor_unaligned.go create mode 100644 vendor/github.com/cloudflare/circl/math/fp25519/fp.go create mode 100644 vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.go create mode 100644 vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.h create mode 100644 vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.s create mode 100644 vendor/github.com/cloudflare/circl/math/fp25519/fp_generic.go create mode 100644 vendor/github.com/cloudflare/circl/math/fp25519/fp_noasm.go create mode 100644 vendor/github.com/cloudflare/circl/math/fp448/fp.go create mode 100644 vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.go create mode 100644 vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.h create mode 100644 vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.s create mode 100644 vendor/github.com/cloudflare/circl/math/fp448/fp_generic.go create mode 100644 vendor/github.com/cloudflare/circl/math/fp448/fp_noasm.go create mode 100644 vendor/github.com/cloudflare/circl/math/fp448/fuzzer.go create mode 100644 vendor/github.com/cloudflare/circl/math/mlsbset/mlsbset.go create mode 100644 vendor/github.com/cloudflare/circl/math/mlsbset/power.go create mode 100644 vendor/github.com/cloudflare/circl/math/wnaf.go create mode 100644 vendor/github.com/cloudflare/circl/sign/ed25519/ed25519.go create mode 100644 vendor/github.com/cloudflare/circl/sign/ed25519/modular.go create mode 100644 vendor/github.com/cloudflare/circl/sign/ed25519/mult.go create mode 100644 vendor/github.com/cloudflare/circl/sign/ed25519/point.go create mode 100644 vendor/github.com/cloudflare/circl/sign/ed25519/pubkey.go create mode 100644 vendor/github.com/cloudflare/circl/sign/ed25519/pubkey112.go create mode 100644 vendor/github.com/cloudflare/circl/sign/ed25519/signapi.go create mode 100644 vendor/github.com/cloudflare/circl/sign/ed25519/tables.go create mode 100644 vendor/github.com/cloudflare/circl/sign/ed448/ed448.go create mode 100644 vendor/github.com/cloudflare/circl/sign/ed448/signapi.go create mode 100644 vendor/github.com/cloudflare/circl/sign/sign.go create mode 100644 vendor/github.com/go-git/go-billy/v5/Makefile create mode 100644 vendor/github.com/go-git/go-billy/v5/util/walk.go create mode 100644 vendor/github.com/go-git/go-git/v5/plumbing/hash/hash.go delete mode 100644 vendor/github.com/go-git/go-git/v5/plumbing/object/common.go create mode 100644 vendor/github.com/go-git/go-git/v5/plumbing/object/signature.go create mode 100644 vendor/github.com/go-git/go-git/v5/storage/filesystem/dotgit/reader.go create mode 100644 vendor/github.com/go-git/go-git/v5/utils/sync/bufio.go create mode 100644 vendor/github.com/go-git/go-git/v5/utils/sync/bytes.go create mode 100644 vendor/github.com/go-git/go-git/v5/utils/sync/zlib.go create mode 100644 vendor/github.com/kevinburke/ssh_config/CHANGELOG.md create mode 100644 vendor/github.com/pjbgf/sha1cd/Dockerfile.arm create mode 100644 vendor/github.com/pjbgf/sha1cd/Dockerfile.arm64 create mode 100644 vendor/github.com/pjbgf/sha1cd/LICENSE create mode 100644 vendor/github.com/pjbgf/sha1cd/Makefile create mode 100644 vendor/github.com/pjbgf/sha1cd/README.md create mode 100644 vendor/github.com/pjbgf/sha1cd/detection.go create mode 100644 vendor/github.com/pjbgf/sha1cd/internal/const.go create mode 100644 vendor/github.com/pjbgf/sha1cd/sha1cd.go create mode 100644 vendor/github.com/pjbgf/sha1cd/sha1cdblock_amd64.go create mode 100644 vendor/github.com/pjbgf/sha1cd/sha1cdblock_amd64.s create mode 100644 vendor/github.com/pjbgf/sha1cd/sha1cdblock_generic.go create mode 100644 vendor/github.com/pjbgf/sha1cd/sha1cdblock_noasm.go create mode 100644 vendor/github.com/pjbgf/sha1cd/ubc/check.go create mode 100644 vendor/github.com/pjbgf/sha1cd/ubc/const.go create mode 100644 vendor/github.com/pjbgf/sha1cd/ubc/doc.go create mode 100644 vendor/github.com/skeema/knownhosts/LICENSE create mode 100644 vendor/github.com/skeema/knownhosts/NOTICE create mode 100644 vendor/github.com/skeema/knownhosts/README.md create mode 100644 vendor/github.com/skeema/knownhosts/knownhosts.go create mode 100644 vendor/golang.org/x/crypto/hkdf/hkdf.go create mode 100644 vendor/golang.org/x/crypto/sha3/doc.go create mode 100644 vendor/golang.org/x/crypto/sha3/hashes.go create mode 100644 vendor/golang.org/x/crypto/sha3/hashes_generic.go create mode 100644 vendor/golang.org/x/crypto/sha3/keccakf.go create mode 100644 vendor/golang.org/x/crypto/sha3/keccakf_amd64.go create mode 100644 vendor/golang.org/x/crypto/sha3/keccakf_amd64.s create mode 100644 vendor/golang.org/x/crypto/sha3/register.go create mode 100644 vendor/golang.org/x/crypto/sha3/sha3.go create mode 100644 vendor/golang.org/x/crypto/sha3/sha3_s390x.go create mode 100644 vendor/golang.org/x/crypto/sha3/sha3_s390x.s create mode 100644 vendor/golang.org/x/crypto/sha3/shake.go create mode 100644 vendor/golang.org/x/crypto/sha3/shake_generic.go create mode 100644 vendor/golang.org/x/crypto/sha3/xor.go create mode 100644 vendor/golang.org/x/crypto/sha3/xor_generic.go create mode 100644 vendor/golang.org/x/crypto/sha3/xor_unaligned.go diff --git a/go.mod b/go.mod index b6cc0771b4..cd0ff68ff2 100644 --- a/go.mod +++ b/go.mod @@ -11,8 +11,8 @@ require ( github.com/chrismellard/docker-credential-acr-env v0.0.0-20230304212654-82a0ddb27589 github.com/containerd/cgroups v1.1.0 // indirect github.com/docker/docker v23.0.3+incompatible - github.com/go-git/go-billy/v5 v5.3.1 - github.com/go-git/go-git/v5 v5.4.2 + github.com/go-git/go-billy/v5 v5.4.1 + github.com/go-git/go-git/v5 v5.6.1 github.com/golang/mock v1.6.0 github.com/google/go-cmp v0.5.9 github.com/google/go-containerregistry v0.14.0 @@ -61,8 +61,8 @@ require ( github.com/Azure/go-autorest/logger v0.2.1 // indirect github.com/Azure/go-autorest/tracing v0.6.0 // indirect github.com/Microsoft/go-winio v0.6.0 // indirect - github.com/ProtonMail/go-crypto v0.0.0-20220113124808-70ae35bab23f // indirect - github.com/acomagu/bufpipe v1.0.3 // indirect + github.com/ProtonMail/go-crypto v0.0.0-20230217124315-7d5c6f04bbb8 // indirect + github.com/acomagu/bufpipe v1.0.4 // indirect github.com/agext/levenshtein v1.2.3 // indirect github.com/aws/aws-sdk-go-v2 v1.17.7 // indirect github.com/aws/aws-sdk-go-v2/config v1.18.19 // indirect @@ -92,7 +92,7 @@ require ( github.com/docker/go-metrics v0.0.1 // indirect github.com/docker/go-units v0.5.0 // indirect github.com/ePirat/docker-credential-gitlabci v1.0.0 - github.com/emirpasic/gods v1.12.0 // indirect + github.com/emirpasic/gods v1.18.1 // indirect github.com/go-git/gcfg v1.5.0 // indirect github.com/godbus/dbus/v5 v5.1.0 // indirect github.com/gogo/protobuf v1.3.2 // indirect @@ -108,7 +108,7 @@ require ( github.com/inconshreveable/mousetrap v1.1.0 // indirect github.com/jbenet/go-context v0.0.0-20150711004518-d14ea06fba99 // indirect github.com/jmespath/go-jmespath v0.4.0 // indirect - github.com/kevinburke/ssh_config v1.1.0 // indirect + github.com/kevinburke/ssh_config v1.2.0 // indirect github.com/klauspost/compress v1.16.0 // indirect github.com/mattn/go-ieproxy v0.0.2 // indirect github.com/matttproud/golang_protobuf_extensions v1.0.4 // indirect @@ -136,11 +136,11 @@ require ( github.com/sergi/go-diff v1.2.0 // indirect github.com/tonistiigi/fsutil v0.0.0-20230105215944-fb433841cbfa // indirect github.com/vbatts/tar-split v0.11.2 // indirect - github.com/xanzy/ssh-agent v0.3.1 // indirect + github.com/xanzy/ssh-agent v0.3.3 // indirect go.etcd.io/etcd/raft/v3 v3.5.6 // indirect go.opencensus.io v0.24.0 // indirect go.uber.org/goleak v1.2.1 // indirect - golang.org/x/crypto v0.2.0 // indirect + golang.org/x/crypto v0.6.0 // indirect golang.org/x/sys v0.6.0 golang.org/x/text v0.8.0 // indirect golang.org/x/time v0.1.0 // indirect @@ -158,6 +158,7 @@ require ( github.com/aws/aws-sdk-go-v2/service/ecr v1.18.7 // indirect github.com/aws/aws-sdk-go-v2/service/ecrpublic v1.15.6 // indirect github.com/aws/aws-sdk-go-v2/service/ssooidc v1.14.6 // indirect + github.com/cloudflare/circl v1.1.0 // indirect github.com/fsnotify/fsnotify v1.6.0 // indirect github.com/google/go-querystring v1.1.0 // indirect github.com/google/subcommands v1.2.0 // indirect @@ -166,6 +167,8 @@ require ( github.com/mitchellh/mapstructure v1.4.1 // indirect github.com/moby/swarmkit/v2 v2.0.0-20230315203717-e28e8ba9bc83 // indirect github.com/pelletier/go-toml v1.9.5 // indirect + github.com/pjbgf/sha1cd v0.3.0 // indirect + github.com/skeema/knownhosts v1.1.0 // indirect github.com/spf13/cast v1.3.1 // indirect github.com/spf13/jwalterweatherman v1.1.0 // indirect github.com/spf13/viper v1.8.1 // indirect diff --git a/go.sum b/go.sum index a6d0a7e4e8..85a1ec2576 100644 --- a/go.sum +++ b/go.sum @@ -85,17 +85,14 @@ github.com/BurntSushi/toml v0.3.1/go.mod h1:xHWCNGjB5oqiDr8zfno3MHue2Ht5sIBksp03 github.com/BurntSushi/xgb v0.0.0-20160522181843-27f122750802/go.mod h1:IVnqGOEym/WlBOVXweHU+Q+/VP0lqqI8lqeDx9IjBqo= github.com/GoogleCloudPlatform/docker-credential-gcr v1.5.1-0.20210909233216-4cdd60d0f2d8 h1:FG7g6s9h4J2qqVTpwFiwjE6WjTopnm3OZ9t+Az5C5JM= github.com/GoogleCloudPlatform/docker-credential-gcr v1.5.1-0.20210909233216-4cdd60d0f2d8/go.mod h1:3ytiBnZ/w2LTWl3wzKM3HKUEbmYd2rVS1NtUgOSOP6o= -github.com/Microsoft/go-winio v0.4.14/go.mod h1:qXqCSQ3Xa7+6tgxaGTIe4Kpcdsi+P8jBhyzoq1bpyYA= -github.com/Microsoft/go-winio v0.4.16/go.mod h1:XB6nPKklQyQ7GC9LdcBEcBl8PF76WugXOPRXwdLnMv0= -github.com/Microsoft/go-winio v0.5.0/go.mod h1:JPGBdM1cNvN/6ISo+n8V5iA4v8pBzdOpzfwIujj1a84= +github.com/Microsoft/go-winio v0.5.2/go.mod h1:WpS1mjBmmwHBEWmogvA2mj8546UReBk4v8QkMxJ6pZY= github.com/Microsoft/go-winio v0.6.0 h1:slsWYD/zyx7lCXoZVlvQrj0hPTM1HI4+v1sIda2yDvg= github.com/Microsoft/go-winio v0.6.0/go.mod h1:cTAf44im0RAYeL23bpB+fzCyDH2MJiz2BO69KH/soAE= github.com/Microsoft/hcsshim v0.10.0-rc.7 h1:HBytQPxcv8Oy4244zbQbe6hnOnx544eL5QPUqhJldz8= -github.com/ProtonMail/go-crypto v0.0.0-20210428141323-04723f9f07d7/go.mod h1:z4/9nQmJSSwwds7ejkxaJwO37dru3geImFUdJlaLzQo= -github.com/ProtonMail/go-crypto v0.0.0-20220113124808-70ae35bab23f h1:J2FzIrXN82q5uyUraeJpLIm7U6PffRwje2ORho5yIik= -github.com/ProtonMail/go-crypto v0.0.0-20220113124808-70ae35bab23f/go.mod h1:z4/9nQmJSSwwds7ejkxaJwO37dru3geImFUdJlaLzQo= -github.com/acomagu/bufpipe v1.0.3 h1:fxAGrHZTgQ9w5QqVItgzwj235/uYZYgbXitB+dLupOk= -github.com/acomagu/bufpipe v1.0.3/go.mod h1:mxdxdup/WdsKVreO5GpW4+M/1CE2sMG4jeGJ2sYmHc4= +github.com/ProtonMail/go-crypto v0.0.0-20230217124315-7d5c6f04bbb8 h1:wPbRQzjjwFc0ih8puEVAOFGELsn1zoIIYdxvML7mDxA= +github.com/ProtonMail/go-crypto v0.0.0-20230217124315-7d5c6f04bbb8/go.mod h1:I0gYDMZ6Z5GRU7l58bNFSkPTFN6Yl12dsUlAZ8xy98g= +github.com/acomagu/bufpipe v1.0.4 h1:e3H4WUzM3npvo5uv95QuJM3cQspFNtFBzvJ2oNjKIDQ= +github.com/acomagu/bufpipe v1.0.4/go.mod h1:mxdxdup/WdsKVreO5GpW4+M/1CE2sMG4jeGJ2sYmHc4= github.com/agext/levenshtein v1.2.3 h1:YB2fHEn0UJagG8T1rrWknE3ZQzWM06O8AMAatNn7lmo= github.com/agext/levenshtein v1.2.3/go.mod h1:JEDfjyjHDjOF/1e4FlBE/PkbqA9OfWu2ki2W0IB5558= github.com/alecthomas/template v0.0.0-20160405071501-a0175ee3bccc/go.mod h1:LOuyumcjzFXgccqObfd/Ljyb9UuFJ6TxHnclSeseNhc= @@ -103,8 +100,8 @@ github.com/alecthomas/template v0.0.0-20190718012654-fb15b899a751/go.mod h1:LOuy github.com/alecthomas/units v0.0.0-20151022065526-2efee857e7cf/go.mod h1:ybxpYRFXyAe+OPACYpWeL0wqObRcbAqCMya13uyzqw0= github.com/alecthomas/units v0.0.0-20190717042225-c3de453c63f4/go.mod h1:ybxpYRFXyAe+OPACYpWeL0wqObRcbAqCMya13uyzqw0= github.com/alecthomas/units v0.0.0-20190924025748-f65c72e2690d/go.mod h1:rBZYJk541a8SKzHPHnH3zbiI+7dagKZ0cgpgrD7Fyho= -github.com/anmitsu/go-shlex v0.0.0-20161002113705-648efa622239 h1:kFOfPq6dUM1hTo4JG6LR5AXSUEsOjtdm0kw0FtQtMJA= -github.com/anmitsu/go-shlex v0.0.0-20161002113705-648efa622239/go.mod h1:2FmKhYUyUczH0OGQWaF5ceTx0UBShxjsH6f8oGKYe2c= +github.com/anmitsu/go-shlex v0.0.0-20200514113438-38f4b401e2be h1:9AeTilPcZAjCFIImctFaOjnTIavg87rW78vTPkQqLI8= +github.com/anmitsu/go-shlex v0.0.0-20200514113438-38f4b401e2be/go.mod h1:ySMOLuWl6zY27l47sB3qLNK6tF2fkHG55UZxx8oIVo4= github.com/antihax/optional v1.0.0/go.mod h1:uupD/76wgC+ih3iEmQUL+0Ugr19nfwCT1kdvxnR2qWY= github.com/armon/circbuf v0.0.0-20150827004946-bbbad097214e/go.mod h1:3U/XgcO3hCbHZ8TKRvWD2dDTCfh9M9ya+I9JpbB7O8o= github.com/armon/go-metrics v0.0.0-20180917152333-f0300d1749da/go.mod h1:Q73ZrmVTwzkszR9V5SSuryQ31EELlFMUz1kKyl939pY= @@ -149,6 +146,7 @@ github.com/beorn7/perks v1.0.1 h1:VlbKKnNfV8bJzeqoa4cOKqO6bYr3WgKZxO8Z16+hsOM= github.com/beorn7/perks v1.0.1/go.mod h1:G2ZrVWU2WbWT9wwq4/hrbKbnv/1ERSJQ0ibhJ6rlkpw= github.com/bgentry/speakeasy v0.1.0/go.mod h1:+zsyZBPWlz7T6j88CTgSN5bM796AkVf0kBD4zp0CCIs= github.com/bketelsen/crypt v0.0.4/go.mod h1:aI6NrJ0pMGgvZKL1iVgXLnfIFJtfV+bKCoqOes/6LfM= +github.com/bwesterb/go-ristretto v1.2.0/go.mod h1:fUIoIZaG73pV5biE2Blr2xEzDoMj7NFEuV9ekS419A0= github.com/census-instrumentation/opencensus-proto v0.2.1/go.mod h1:f6KPmirojxKA12rnyqOA5BBL4O983OfeGPqjHWSTneU= github.com/certifi/gocertifi v0.0.0-20191021191039-0944d244cd40/go.mod h1:sGbDF6GwGcLpkNXPUTkMRoywsNa/ol15pxFe6ERfguA= github.com/certifi/gocertifi v0.0.0-20200922220541-2c3bb06c6054/go.mod h1:sGbDF6GwGcLpkNXPUTkMRoywsNa/ol15pxFe6ERfguA= @@ -166,6 +164,8 @@ github.com/cilium/ebpf v0.7.0/go.mod h1:/oI2+1shJiTGAMgl6/RgJr36Eo1jzrRcAWbcXO2u github.com/cilium/ebpf v0.9.1 h1:64sn2K3UKw8NbP/blsixRpF3nXuyhz/VjRlRzvlBRu4= github.com/cilium/ebpf v0.9.1/go.mod h1:+OhNOIXx/Fnu1IE8bJz2dzOA+VSfyTfdNUVdlQnxUFY= github.com/client9/misspell v0.3.4/go.mod h1:qj6jICC3Q7zFZvVWo7KLAzC3yx5G7kyvSDkc90ppPyw= +github.com/cloudflare/circl v1.1.0 h1:bZgT/A+cikZnKIwn7xL2OBj012Bmvho/o6RpRvv3GKY= +github.com/cloudflare/circl v1.1.0/go.mod h1:prBCrKB9DV4poKZY1l9zBXg2QJY7mvgRvtMxxK7fi4I= github.com/cncf/udpa/go v0.0.0-20191209042840-269d4d468f6f/go.mod h1:M8M6+tZqaGXZJjfX53e64911xZQV5JYwmTeXPW+k8Sc= github.com/cncf/udpa/go v0.0.0-20200629203442-efcf912fb354/go.mod h1:WmhPx2Nbnhtbo57+VJT5O0JRkEi1Wbu0z5j0R8u5Hbk= github.com/cncf/udpa/go v0.0.0-20201120205902-5459f2c99403/go.mod h1:WmhPx2Nbnhtbo57+VJT5O0JRkEi1Wbu0z5j0R8u5Hbk= @@ -219,8 +219,8 @@ github.com/docker/go-units v0.5.0 h1:69rxXcBk27SvSaaxTtLh/8llcHD8vYHT7WSdRZ/jvr4 github.com/docker/go-units v0.5.0/go.mod h1:fgPhTUdO+D/Jk86RDLlptpiXQzgHJF7gydDDbaIK4Dk= github.com/ePirat/docker-credential-gitlabci v1.0.0 h1:YRkUSvkON6rT88vtscClAmPEYWhtltGEAuRVYtz1/+Y= github.com/ePirat/docker-credential-gitlabci v1.0.0/go.mod h1:Ptmh+D0lzBQtgb6+QHjXl9HqOn3T1P8fKUHldiSQQGA= -github.com/emirpasic/gods v1.12.0 h1:QAUIPSaCu4G+POclxeqb3F+WPpdKqFGlw36+yOzGlrg= -github.com/emirpasic/gods v1.12.0/go.mod h1:YfzfFFoVP/catgzJb4IKIqXjX78Ha8FMSDh3ymbK86o= +github.com/emirpasic/gods v1.18.1 h1:FXtiHYKDGKCW2KzwZKx0iC0PQmdlorYgdFG9jPXJ1Bc= +github.com/emirpasic/gods v1.18.1/go.mod h1:8tpGGwCnJ5H4r6BWwaV6OrWmMoPhUl5jm/FMNAnJvWQ= github.com/envoyproxy/go-control-plane v0.9.0/go.mod h1:YTl/9mNaCwkRvm6d1a2C3ymFceY/DCBVvsKhRF0iEA4= github.com/envoyproxy/go-control-plane v0.9.1-0.20191026205805-5f8ba28d4473/go.mod h1:YTl/9mNaCwkRvm6d1a2C3ymFceY/DCBVvsKhRF0iEA4= github.com/envoyproxy/go-control-plane v0.9.4/go.mod h1:6rpuAdCZL397s3pYoYcLgu1mIlRU8Am5FuJP05cCM98= @@ -229,7 +229,6 @@ github.com/envoyproxy/go-control-plane v0.9.9-0.20201210154907-fd9021fe5dad/go.m github.com/envoyproxy/go-control-plane v0.9.9-0.20210217033140-668b12f5399d/go.mod h1:cXg6YxExXjJnVBQHBLXeUAgxn2UodCpnH306RInaBQk= github.com/envoyproxy/protoc-gen-validate v0.1.0/go.mod h1:iSmxcyjqTsJpI2R4NaDN7+kN2VEUnK/pcBlmesArF7c= github.com/fatih/color v1.7.0/go.mod h1:Zm6kSWBoL9eyXnKyktHP6abPY2pDugNf5KwzbycvMj4= -github.com/flynn/go-shlex v0.0.0-20150515145356-3f9db97f8568/go.mod h1:xEzjJPgXI435gkrCt3MPfRiAkVrwSbHsst4LCFVfpJc= github.com/form3tech-oss/jwt-go v3.2.2+incompatible/go.mod h1:pbq4aXjuKjdthFRnoDwaVPLA+WlJuPGy+QneDUgJi2k= github.com/frankban/quicktest v1.11.3/go.mod h1:wRf/ReqHper53s+kmmSZizM8NamnL3IM0I9ntUbOk+k= github.com/frankban/quicktest v1.14.0 h1:+cqqvzZV87b4adx/5ayVOaYZ2CrvM4ejQvUdBzPPUss= @@ -238,17 +237,17 @@ github.com/fsnotify/fsnotify v1.6.0 h1:n+5WquG0fcWoWp6xPWfHdbskMCQaFnG6PfBrh1Ky4 github.com/fsnotify/fsnotify v1.6.0/go.mod h1:sl3t1tCWJFWoRz9R8WJCbQihKKwmorjAbSClcnxKAGw= github.com/getsentry/raven-go v0.2.0/go.mod h1:KungGk8q33+aIAZUIVWZDr2OfAEBsO49PX4NzFV5kcQ= github.com/ghodss/yaml v1.0.0/go.mod h1:4dBDuWmgqj2HViK6kFavaiC9ZROes6MMH2rRYeMEF04= -github.com/gliderlabs/ssh v0.2.2 h1:6zsha5zo/TWhRhwqCD3+EarCAgZ2yN28ipRnGPnwkI0= -github.com/gliderlabs/ssh v0.2.2/go.mod h1:U7qILu1NlMHj9FlMhZLlkCdDnU1DBEAqr0aevW3Awn0= +github.com/gliderlabs/ssh v0.3.5 h1:OcaySEmAQJgyYcArR+gGGTHCyE7nvhEMTlYY+Dp8CpY= +github.com/gliderlabs/ssh v0.3.5/go.mod h1:8XB4KraRrX39qHhT6yxPsHedjA08I/uBVwj4xC+/+z4= github.com/go-git/gcfg v1.5.0 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h1:y5z6dd3qi8Hl+stezc8p3JxDkoTRqMAlKnXHuzrfjTQ= +github.com/go-git/go-git-fixtures/v4 v4.3.1/go.mod h1:8LHG1a3SRW71ettAD/jW13h8c6AqjVSeL11RAdgaqpo= +github.com/go-git/go-git/v5 v5.6.1 h1:q4ZRqQl4pR/ZJHc1L5CFjGA1a10u76aV1iC+nh+bHsk= +github.com/go-git/go-git/v5 v5.6.1/go.mod h1:mvyoL6Unz0PiTQrGQfSfiLFhBH1c1e84ylC2MDs4ee8= github.com/go-gl/glfw v0.0.0-20190409004039-e6da0acd62b1/go.mod h1:vR7hzQXu2zJy9AVAgeJqvqgH9Q5CA+iKCZ2gyEVpxRU= github.com/go-gl/glfw/v3.3/glfw v0.0.0-20191125211704-12ad95a8df72/go.mod h1:tQ2UAYgL5IevRw8kRxooKSPJfGvJ9fJQFa0TUsXzTg8= github.com/go-gl/glfw/v3.3/glfw v0.0.0-20200222043503-6f7a984d4dc4/go.mod h1:tQ2UAYgL5IevRw8kRxooKSPJfGvJ9fJQFa0TUsXzTg8= @@ -396,7 +395,6 @@ github.com/hashicorp/memberlist v0.1.3/go.mod h1:ajVTdAv/9Im8oMAAj5G31PhhMCZJV2p github.com/hashicorp/serf v0.8.2/go.mod h1:6hOLApaqBFA1NXqRQAsxw9QxuDEvNxSQRwA/JwenrHc= github.com/ianlancetaylor/demangle v0.0.0-20181102032728-5e5cf60278f6/go.mod h1:aSSvb/t6k1mPoxDqO4vJh6VOCGPwU4O0C2/Eqndh1Sc= github.com/ianlancetaylor/demangle v0.0.0-20200824232613-28f6c0f3b639/go.mod h1:aSSvb/t6k1mPoxDqO4vJh6VOCGPwU4O0C2/Eqndh1Sc= -github.com/imdario/mergo v0.3.12/go.mod h1:jmQim1M+e3UYxmgPu/WyfjB3N3VflVyUjjjwH0dnCYA= github.com/imdario/mergo v0.3.13 h1:lFzP57bqS/wsqKssCGmtLAb8A0wKjLGrve2q3PPVcBk= github.com/imdario/mergo v0.3.13/go.mod h1:4lJ1jqUDcsbIECGy0RUJAXNIhg+6ocWgb1ALK2O4oXg= github.com/inconshreveable/mousetrap v1.0.1/go.mod h1:vpF70FUmC8bwa3OWnCshd2FqLfsEA9PFc4w1p2J65bw= @@ -423,9 +421,8 @@ github.com/julienschmidt/httprouter v1.2.0/go.mod h1:SYymIcj16QtmaHHD7aYtjjsJG7V github.com/julienschmidt/httprouter v1.3.0/go.mod h1:JR6WtHb+2LUe8TCKY3cZOxFyyO8IZAc4RVcycCCAKdM= github.com/karrick/godirwalk v1.16.1 h1:DynhcF+bztK8gooS0+NDJFrdNZjJ3gzVzC545UNA9iw= github.com/karrick/godirwalk v1.16.1/go.mod h1:j4mkqPuvaLI8mp1DroR3P6ad7cyYd4c1qeJ3RV7ULlk= -github.com/kevinburke/ssh_config v0.0.0-20201106050909-4977a11b4351/go.mod h1:CT57kijsi8u/K/BOFA39wgDQJ9CxiF4nAY/ojJ6r6mM= -github.com/kevinburke/ssh_config v1.1.0 h1:pH/t1WS9NzT8go394IqZeJTMHVm6Cr6ZJ6AQ+mdNo/o= -github.com/kevinburke/ssh_config v1.1.0/go.mod h1:CT57kijsi8u/K/BOFA39wgDQJ9CxiF4nAY/ojJ6r6mM= +github.com/kevinburke/ssh_config v1.2.0 h1:x584FjTGwHzMwvHx18PXxbBVzfnxogHaAReU4gf13a4= +github.com/kevinburke/ssh_config v1.2.0/go.mod h1:CT57kijsi8u/K/BOFA39wgDQJ9CxiF4nAY/ojJ6r6mM= github.com/kisielk/errcheck v1.2.0/go.mod h1:/BMXB+zMLi60iA8Vv6Ksmxu/1UDYcXs4uQLJ+jE2L00= github.com/kisielk/errcheck v1.5.0/go.mod h1:pFxgyoBC7bSaBwPgfKdkLd5X25qrDl4LWUI2bnpBCr8= github.com/kisielk/gotool v1.0.0/go.mod h1:XhKaO+MFFWcvkIS/tQcRk01m1F5IRFswLeQ+oQHNcck= @@ -472,6 +469,7 @@ github.com/mitchellh/mapstructure v0.0.0-20160808181253-ca63d7c062ee/go.mod h1:F github.com/mitchellh/mapstructure v1.1.2/go.mod h1:FVVH3fgwuzCH5S8UJGiWEs2h04kUh9fWfEaFds41c1Y= github.com/mitchellh/mapstructure v1.4.1 h1:CpVNEelQCZBooIPDn+AR3NpivK/TIKU8bDxdASFVQag= github.com/mitchellh/mapstructure v1.4.1/go.mod h1:bFUtVrKA4DC2yAKiSyO/QUcy7e+RRV2QTWOzhPopBRo= +github.com/mmcloughlin/avo v0.5.0/go.mod h1:ChHFdoV7ql95Wi7vuq2YT1bwCJqiWdZrQ1im3VujLYM= github.com/moby/buildkit v0.11.4 h1:mleVHr+n7HUD65QNUkgkT3d8muTzhYUoHE9FM3Ej05s= github.com/moby/buildkit v0.11.4/go.mod h1:P5Qi041LvCfhkfYBHry+Rwoo3Wi6H971J2ggE+PcIoo= github.com/moby/locker v1.0.1 h1:fOXqR41zeveg4fFODix+1Ch4mj/gT0NE1XJbp/epuBg= @@ -527,6 +525,8 @@ github.com/pascaldekloe/goe v0.0.0-20180627143212-57f6aae5913c/go.mod h1:lzWF7FI github.com/pelletier/go-toml v1.9.3/go.mod h1:u1nR/EPcESfeI/szUZKdtJ0xRNbUoANCkoOuaOx1Y+c= github.com/pelletier/go-toml v1.9.5 h1:4yBQzkHv+7BHq2PQUZF3Mx0IYxG7LsP222s7Agd3ve8= github.com/pelletier/go-toml v1.9.5/go.mod h1:u1nR/EPcESfeI/szUZKdtJ0xRNbUoANCkoOuaOx1Y+c= +github.com/pjbgf/sha1cd v0.3.0 h1:4D5XXmUUBUl/xQ6IjCkEAbqXskkq/4O7LmGn0AqMDs4= +github.com/pjbgf/sha1cd v0.3.0/go.mod h1:nZ1rrWOcGJ5uZgEEVL1VUM9iRQiZvWdbZjkKyFzPPsI= github.com/pkg/errors v0.8.0/go.mod h1:bwawxfHBFNV+L2hUp1rHADufV3IMtnDRdf1r5NINEl0= github.com/pkg/errors v0.8.1/go.mod h1:bwawxfHBFNV+L2hUp1rHADufV3IMtnDRdf1r5NINEl0= github.com/pkg/errors v0.9.1 h1:FEBLx1zS214owpjy7qsBeixbURkuhQAwrK5UwLGTwt4= @@ -581,13 +581,14 @@ github.com/sergi/go-diff v1.2.0 h1:XU+rvMAioB0UC3q1MFrIQy4Vo5/4VsRDQQXHsEya6xQ= github.com/sergi/go-diff v1.2.0/go.mod h1:STckp+ISIX8hZLjrqAeVduY0gWCT9IjLuqbuNXdaHfM= github.com/shurcooL/sanitized_anchor_name v1.0.0/go.mod h1:1NzhyTcUVG4SuEtjjoZeVRXNmyL/1OwPU0+IJeTBvfc= github.com/sirupsen/logrus v1.2.0/go.mod h1:LxeOpSwHxABJmUn/MG1IvRgCAasNZTLOkJPxbbu5VWo= -github.com/sirupsen/logrus v1.4.1/go.mod h1:ni0Sbl8bgC9z8RoU9G6nDWqqs/fq4eDPysMBDgk/93Q= github.com/sirupsen/logrus v1.4.2/go.mod h1:tLMulIdttU9McNUspp0xgXVQah82FyeX6MwdIuYE2rE= github.com/sirupsen/logrus v1.6.0/go.mod h1:7uNnSEd1DgxDLC74fIahvMZmmYsHGZGEOFrfsX/uA88= github.com/sirupsen/logrus v1.7.0/go.mod h1:yWOB1SBYBC5VeMP7gHvWumXLIWorT60ONWic61uBYv0= github.com/sirupsen/logrus v1.8.1/go.mod h1:yWOB1SBYBC5VeMP7gHvWumXLIWorT60ONWic61uBYv0= github.com/sirupsen/logrus v1.9.0 h1:trlNQbNUG3OdDrDil03MCb1H2o9nJ1x4/5LYw7byDE0= github.com/sirupsen/logrus v1.9.0/go.mod h1:naHLuLoDiP4jHNo9R0sCBMtWGeIprob74mVsIT4qYEQ= +github.com/skeema/knownhosts v1.1.0 h1:Wvr9V0MxhjRbl3f9nMnKnFfiWTJmtECJ9Njkea3ysW0= +github.com/skeema/knownhosts v1.1.0/go.mod h1:sKFq3RD6/TKZkSWn8boUbDC7Qkgcv+8XXijpFO6roag= github.com/smartystreets/assertions v0.0.0-20180927180507-b2de0cb4f26d h1:zE9ykElWQ6/NYmHa3jpm/yHnI4xSofP+UP6SpjHcSeM= github.com/smartystreets/assertions v0.0.0-20180927180507-b2de0cb4f26d/go.mod h1:OnSkiWE9lh6wB0YB77sQom3nweQdgAjqCqsofrRNTgc= github.com/smartystreets/goconvey v1.6.4 h1:fv0U8FUIMPNf1L9lnHLvLhgicrIVChEkdzIKYqbNC9s= @@ -633,14 +634,14 @@ github.com/vbatts/tar-split v0.11.2 h1:Via6XqJr0hceW4wff3QRzD5gAk/tatMw/4ZA7cTlI github.com/vbatts/tar-split v0.11.2/go.mod h1:vV3ZuO2yWSVsz+pfFzDG/upWH1JhjOiEaWq6kXyQ3VI= github.com/vishvananda/netlink v1.1.0/go.mod h1:cTgwzPIzzgDAYoQrMm0EdrjRUBkTqKYppBueQtXaqoE= github.com/vishvananda/netns v0.0.0-20191106174202-0a2b9b5464df/go.mod h1:JP3t17pCcGlemwknint6hfoeCVQrEMVwxRLRjXpq+BU= -github.com/xanzy/ssh-agent v0.3.0/go.mod h1:3s9xbODqPuuhK9JV1R321M/FlMZSBvE5aY6eAcqrDh0= -github.com/xanzy/ssh-agent v0.3.1 h1:AmzO1SSWxw73zxFZPRwaMN1MohDw8UyHnmuxyceTEGo= -github.com/xanzy/ssh-agent v0.3.1/go.mod h1:QIE4lCeL7nkC25x+yA3LBIYfwCc1TFziCtG7cBAac6w= +github.com/xanzy/ssh-agent v0.3.3 h1:+/15pJfg/RsTxqYcX6fHqOXZwwMP+2VyYWJeWM2qQFM= +github.com/xanzy/ssh-agent v0.3.3/go.mod h1:6dzNDKs0J9rVPHPhaGCukekBHKqfl+L3KghI1Bc68Uw= github.com/yuin/goldmark v1.1.25/go.mod h1:3hX8gzYuyVAZsxl0MRgGTJEmQBFcNTphYh9decYSb74= github.com/yuin/goldmark v1.1.27/go.mod h1:3hX8gzYuyVAZsxl0MRgGTJEmQBFcNTphYh9decYSb74= github.com/yuin/goldmark v1.1.32/go.mod h1:3hX8gzYuyVAZsxl0MRgGTJEmQBFcNTphYh9decYSb74= github.com/yuin/goldmark v1.2.1/go.mod h1:3hX8gzYuyVAZsxl0MRgGTJEmQBFcNTphYh9decYSb74= github.com/yuin/goldmark v1.3.5/go.mod h1:mwnBkeHKe2W/ZEtQ+71ViKU8L12m81fl3OWwC1Zlc8k= +github.com/yuin/goldmark v1.4.13/go.mod h1:6yULJ656Px+3vBD8DxQVa3kxgyrAnzto9xy5taEt/CY= go.etcd.io/etcd/api/v3 v3.5.0/go.mod h1:cbVKeC6lCfl7j/8jBhAK6aIYO9XOjdptoxU/nLQcPvs= go.etcd.io/etcd/client/pkg/v3 v3.5.0/go.mod h1:IJHfcCEKxYu1Os13ZdwCwIUTUVGYTSAM3YSwc9/Ac1g= go.etcd.io/etcd/client/pkg/v3 v3.5.6/go.mod h1:ggrwbk069qxpKPq8/FKkQ3Xq9y39kbFR4LnKszpRXeQ= @@ -661,9 +662,9 @@ go.uber.org/goleak v1.2.1 h1:NBol2c7O1ZokfZ0LEU9K6Whx/KnwvepVetCUhtKja4A= go.uber.org/goleak v1.2.1/go.mod h1:qlT2yGI9QafXHhZZLxlSuNsMw3FFLxBr+tBRlmO1xH4= go.uber.org/multierr v1.6.0/go.mod h1:cdWPpRnG4AhwMwsgIHip0KRBQjJy5kYEpYjJxpXp9iU= go.uber.org/zap v1.17.0/go.mod h1:MXVU+bhUf/A7Xi2HNOnopQOrmycQ5Ih87HtOu4q5SSo= +golang.org/x/arch v0.1.0/go.mod h1:5om86z9Hs0C8fWVUuoMHwpExlXzs5Tkyp9hOrfG7pp8= golang.org/x/crypto v0.0.0-20180904163835-0709b304e793/go.mod h1:6SG95UA2DQfeDnfUPMdvaQW0Q7yPrPDi9nlGo2tz2b4= golang.org/x/crypto v0.0.0-20181029021203-45a5f77698d3/go.mod h1:6SG95UA2DQfeDnfUPMdvaQW0Q7yPrPDi9nlGo2tz2b4= -golang.org/x/crypto v0.0.0-20190219172222-a4c6cb3142f2/go.mod h1:6SG95UA2DQfeDnfUPMdvaQW0Q7yPrPDi9nlGo2tz2b4= golang.org/x/crypto v0.0.0-20190308221718-c2843e01d9a2/go.mod h1:djNgcEr1/C05ACkg1iLfiJU5Ep61QUkGW8qpdssI0+w= golang.org/x/crypto v0.0.0-20190510104115-cbcb75029529/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI= golang.org/x/crypto v0.0.0-20190605123033-f99c8df09eb5/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI= @@ -671,15 +672,17 @@ golang.org/x/crypto v0.0.0-20190820162420-60c769a6c586/go.mod h1:yigFU9vqHzYiE8U golang.org/x/crypto v0.0.0-20191011191535-87dc89f01550/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI= golang.org/x/crypto v0.0.0-20200622213623-75b288015ac9/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto= golang.org/x/crypto v0.0.0-20201002170205-7f63de1d35b0/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto= -golang.org/x/crypto v0.0.0-20210322153248-0c34fe9e7dc2/go.mod h1:T9bdIzuCu7OtxOm1hfPfRQxPLYneinmdGuTeoZ9dtd4= golang.org/x/crypto v0.0.0-20210421170649-83a5a9bb288b/go.mod h1:T9bdIzuCu7OtxOm1hfPfRQxPLYneinmdGuTeoZ9dtd4= -golang.org/x/crypto v0.0.0-20210711020723-a769d52b0f97/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc= golang.org/x/crypto v0.0.0-20210921155107-089bfa567519/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc= golang.org/x/crypto v0.0.0-20211108221036-ceb1ce70b4fa/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc= golang.org/x/crypto v0.0.0-20211215153901-e495a2d5b3d3/go.mod h1:IxCIyHEi3zRg3s0A5j5BB6A9Jmi73HwBIUl50j+osU4= +golang.org/x/crypto v0.0.0-20220525230936-793ad666bf5e/go.mod h1:IxCIyHEi3zRg3s0A5j5BB6A9Jmi73HwBIUl50j+osU4= +golang.org/x/crypto v0.0.0-20220622213112-05595931fe9d/go.mod h1:IxCIyHEi3zRg3s0A5j5BB6A9Jmi73HwBIUl50j+osU4= golang.org/x/crypto v0.0.0-20220722155217-630584e8d5aa/go.mod h1:IxCIyHEi3zRg3s0A5j5BB6A9Jmi73HwBIUl50j+osU4= -golang.org/x/crypto v0.2.0 h1:BRXPfhNivWL5Yq0BGQ39a2sW6t44aODpfxkWjYdzewE= -golang.org/x/crypto v0.2.0/go.mod h1:hebNnKkNXi2UzZN1eVRvBB7co0a+JxK6XbPiWVs/3J4= +golang.org/x/crypto v0.0.0-20220826181053-bd7e27e6170d/go.mod h1:IxCIyHEi3zRg3s0A5j5BB6A9Jmi73HwBIUl50j+osU4= +golang.org/x/crypto v0.1.0/go.mod h1:RecgLatLF4+eUMCP1PoPZQb+cVrJcOPbHkTkbkB9sbw= +golang.org/x/crypto v0.6.0 h1:qfktjS5LUO+fFKeJXZ+ikTRijMmljikvG68fpMMruSc= +golang.org/x/crypto v0.6.0/go.mod h1:OFC/31mSvZgRz0V1QTNCzfAI1aIRzbiufJtkMIlEp58= golang.org/x/exp v0.0.0-20190121172915-509febef88a4/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA= golang.org/x/exp v0.0.0-20190306152737-a1d7652674e8/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA= golang.org/x/exp v0.0.0-20190510132918-efd6b22b2522/go.mod h1:ZjyILWgesfNpC6sMxTJOJm9Kp84zZh5NQWvqDGG3Qr8= @@ -715,6 +718,8 @@ golang.org/x/mod v0.3.0/go.mod h1:s0Qsj1ACt9ePp/hMypM3fl4fZqREWJwdYDEqhRiZZUA= golang.org/x/mod v0.4.0/go.mod h1:s0Qsj1ACt9ePp/hMypM3fl4fZqREWJwdYDEqhRiZZUA= golang.org/x/mod v0.4.1/go.mod h1:s0Qsj1ACt9ePp/hMypM3fl4fZqREWJwdYDEqhRiZZUA= golang.org/x/mod v0.4.2/go.mod h1:s0Qsj1ACt9ePp/hMypM3fl4fZqREWJwdYDEqhRiZZUA= +golang.org/x/mod v0.6.0-dev.0.20220419223038-86c51ed26bb4/go.mod h1:jJ57K6gSWd91VN4djpZkiMVwK6gcyfeH4XE8wZrZaV4= +golang.org/x/mod v0.6.0/go.mod h1:4mET923SAdbXp2ki8ey+zGs1SLqsuM2Y0uvdZR/fUNI= golang.org/x/mod v0.9.0 h1:KENHtAZL2y3NLMYZeHY9DW8HW8V+kQyJsY/V9JlKvCs= golang.org/x/mod v0.9.0/go.mod h1:iBbtSCu2XBx23ZKBPSOrRkjjQPZFPuis4dIYUhu/chs= golang.org/x/net v0.0.0-20180724234803-3673e40ba225/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4= @@ -756,13 +761,17 @@ golang.org/x/net v0.0.0-20201224014010-6772e930b67b/go.mod h1:m0MpNAwzfU5UDzcl9v golang.org/x/net v0.0.0-20210119194325-5f4716e94777/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg= golang.org/x/net v0.0.0-20210226172049-e18ecbb05110/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg= golang.org/x/net v0.0.0-20210316092652-d523dce5a7f4/go.mod h1:RBQZq4jEuRlivfhVLdyRGr576XBO4/greRjx4P4O3yc= -golang.org/x/net v0.0.0-20210326060303-6b1517762897/go.mod h1:uSPa2vr4CLtc/ILN5odXGNXS6mhrKVzTaCXzk9m6W3k= golang.org/x/net v0.0.0-20210405180319-a5a99cb37ef4/go.mod h1:p54w0d4576C0XHj96bSt6lcn1PtDYWL6XObtHCRCNQM= golang.org/x/net v0.0.0-20210525063256-abc453219eb5/go.mod h1:9nx3DQGgdP8bBQD5qxJ1jj9UTztislL4KSBs9R2vV5Y= golang.org/x/net v0.0.0-20211112202133-69e39bad7dc2/go.mod h1:9nx3DQGgdP8bBQD5qxJ1jj9UTztislL4KSBs9R2vV5Y= golang.org/x/net v0.0.0-20220107192237-5cfca573fb4d/go.mod h1:9nx3DQGgdP8bBQD5qxJ1jj9UTztislL4KSBs9R2vV5Y= golang.org/x/net v0.0.0-20220127200216-cd36cc0744dd/go.mod h1:CfG3xpIq0wQ8r1q4Su4UZFWDARRcnwPjda9FqA0JpMk= golang.org/x/net v0.0.0-20220225172249-27dd8689420f/go.mod h1:CfG3xpIq0wQ8r1q4Su4UZFWDARRcnwPjda9FqA0JpMk= +golang.org/x/net v0.0.0-20220722155237-a158d28d115b/go.mod h1:XRhObCWvk6IyKnWLug+ECip1KBveYUHfp+8e9klMJ9c= +golang.org/x/net v0.0.0-20220826154423-83b083e8dc8b/go.mod h1:YDH+HFinaLZZlnHAfSS6ZXJJ9M9t4Dl22yv3iI2vPwk= +golang.org/x/net v0.1.0/go.mod h1:Cx3nUiGt4eDBEyega/BKRp+/AlGL8hYe7U9odMt2Cco= +golang.org/x/net v0.6.0/go.mod h1:2Tu9+aMcznHK/AK1HMvgo6xiTLG5rD5rZLDS+rp2Bjs= +golang.org/x/net v0.7.0/go.mod h1:2Tu9+aMcznHK/AK1HMvgo6xiTLG5rD5rZLDS+rp2Bjs= golang.org/x/net v0.8.0 h1:Zrh2ngAOFYneWTAIAPethzeaQLuHwhuBkuV6ZiRnUaQ= golang.org/x/net v0.8.0/go.mod h1:QVkue5JL9kW//ek3r6jTKnTFis1tRmNAW2P1shuFdJc= golang.org/x/oauth2 v0.0.0-20180821212333-d2e6202438be/go.mod h1:N/0e6XlmueqKjAGxoOufVs8QHGRruUQn6yWY3a++T0U= @@ -792,6 +801,7 @@ golang.org/x/sync v0.0.0-20200625203802-6e8e738ad208/go.mod h1:RxMgew5VJxzue5/jJ golang.org/x/sync v0.0.0-20201020160332-67f06af15bc9/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM= golang.org/x/sync v0.0.0-20201207232520-09787c993a3a/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM= golang.org/x/sync v0.0.0-20210220032951-036812b2e83c/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM= +golang.org/x/sync v0.0.0-20220722155255-886fb9371eb4/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM= golang.org/x/sync v0.1.0 h1:wsuoTGHzEhffawBOhz5CYhcrV4IdKZbEyZjBMuTp12o= golang.org/x/sync v0.1.0/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM= golang.org/x/sys v0.0.0-20180823144017-11551d06cbcc/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY= @@ -811,7 +821,6 @@ golang.org/x/sys v0.0.0-20190606203320-7fc4e5ec1444/go.mod h1:h1NjWce9XRLGQEsW7w golang.org/x/sys v0.0.0-20190624142023-c5567b49c5d0/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20190726091711-fc99dfbffb4e/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20190801041406-cbf593c0f2f3/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= -golang.org/x/sys v0.0.0-20190916202348-b4ddaad3f8a3/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20191001151750-bb3f8db39f24/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20191005200804-aed5e4c7ecf9/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20191026070338-33540a1f6037/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= @@ -849,19 +858,17 @@ golang.org/x/sys v0.0.0-20210225134936-a50acf3fe073/go.mod h1:h1NjWce9XRLGQEsW7w golang.org/x/sys v0.0.0-20210305230114-8fe3ee5dd75b/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20210315160823-c6e025ad8005/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20210320140829-1e4c9ba3b0c4/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= -golang.org/x/sys v0.0.0-20210324051608-47abb6519492/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20210330210617-4fbd30eecc44/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20210403161142-5e06dd20ab57/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20210423082822-04245dca01da/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20210423185535-09eb48e85fd7/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= -golang.org/x/sys v0.0.0-20210502180810-71e4cd670f79/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= golang.org/x/sys v0.0.0-20210510120138-977fb7262007/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20210603081109-ebe580a85c40/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20210615035016-665e8c7367d1/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20210616094352-59db8d763f22/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= -golang.org/x/sys v0.0.0-20210630005230-0f9fa26af87c/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20210819135213-f52c844e1c1c/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20210906170528-6f6e22806c34/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= +golang.org/x/sys v0.0.0-20211007075335-d3039528d8ac/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20211025201205-69cdffdb9359/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20211116061358-0a5406a5449c/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20211216021012-1d35b9e2eb4e/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= @@ -869,12 +876,20 @@ golang.org/x/sys v0.0.0-20220110181412-a018aaa089fe/go.mod h1:oPkhp1MJrh7nUepCBc golang.org/x/sys v0.0.0-20220114195835-da31bd327af9/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20220520151302-bc2c85ada10a/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20220715151400-c0bba94af5f8/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= +golang.org/x/sys v0.0.0-20220722155257-8c9f86f7a55f/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= +golang.org/x/sys v0.0.0-20220728004956-3c1f35247d10/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20220825204002-c680a09ffe64/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.0.0-20220908164124-27713097b956/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= +golang.org/x/sys v0.1.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= +golang.org/x/sys v0.3.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= +golang.org/x/sys v0.5.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/sys v0.6.0 h1:MVltZSvRTcU2ljQOhs94SXPftV6DCNnZViHeQps87pQ= golang.org/x/sys v0.6.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= golang.org/x/term v0.0.0-20201126162022-7de9c90e9dd1/go.mod h1:bj7SfCRtBDWHUb9snDiAeCFNEtKQo2Wmx5Cou7ajbmo= golang.org/x/term v0.0.0-20210927222741-03fcf44c2211/go.mod h1:jbD1KX2456YbFQfuXm/mYQcufACuNUgVhRMnK/tPxf8= +golang.org/x/term v0.0.0-20220722155259-a9ba230a4035/go.mod h1:jbD1KX2456YbFQfuXm/mYQcufACuNUgVhRMnK/tPxf8= +golang.org/x/term v0.1.0/go.mod h1:jbD1KX2456YbFQfuXm/mYQcufACuNUgVhRMnK/tPxf8= +golang.org/x/term v0.5.0/go.mod h1:jMB1sMXY+tzblOD4FWmEbocvup2/aLOaQEp7JmGp78k= golang.org/x/term v0.6.0 h1:clScbb1cHjoCkyRbWwBEUZ5H/tIFu5TAXIqaZD0Gcjw= golang.org/x/text v0.0.0-20170915032832-14c0d48ead0c/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ= golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ= @@ -885,6 +900,8 @@ golang.org/x/text v0.3.4/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ= golang.org/x/text v0.3.5/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ= golang.org/x/text v0.3.6/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ= golang.org/x/text v0.3.7/go.mod h1:u+2+/6zg+i71rQMx5EYifcz6MCKuco9NR6JIITiCfzQ= +golang.org/x/text v0.4.0/go.mod h1:mrYo+phRRbMaCq/xk9113O4dZlRixOauAjOtrjsXDZ8= +golang.org/x/text v0.7.0/go.mod h1:mrYo+phRRbMaCq/xk9113O4dZlRixOauAjOtrjsXDZ8= golang.org/x/text v0.8.0 h1:57P1ETyNKtuIjB4SRd15iJxuhj8Gc416Y78H3qgMh68= golang.org/x/text v0.8.0/go.mod h1:e1OnstbJyHTd6l/uOt8jFFHp6TRDWZR/bV3emEE/zU8= golang.org/x/time v0.0.0-20181108054448-85acf8d2951c/go.mod h1:tRJNPiyCQ0inRvYxbN9jk5I+vvW/OXSQhTDSoE431IQ= @@ -946,6 +963,8 @@ golang.org/x/tools v0.0.0-20210108195828-e2f9c7f1fc8e/go.mod h1:emZCQorbCU4vsT4f golang.org/x/tools v0.1.0/go.mod h1:xkSsbof2nBLbhDlRMhhhyNLN/zl3eTqcnHD5viDpcZ0= golang.org/x/tools v0.1.1/go.mod h1:o0xws9oXOQQZyjljx8fwUC0k7L1pTE6eaCbjGeHmOkk= golang.org/x/tools v0.1.2/go.mod h1:o0xws9oXOQQZyjljx8fwUC0k7L1pTE6eaCbjGeHmOkk= +golang.org/x/tools v0.1.12/go.mod h1:hNGJHUnrk76NpqgfD5Aqm5Crs+Hm0VOH/i9J2+nxYbc= +golang.org/x/tools v0.2.0/go.mod h1:y4OqIKeOV/fWJetJ8bXPU1sEVniLMIyDAZWeHdV+NTA= golang.org/x/tools v0.7.0 h1:W4OVu8VVOaIO0yzWMNdepAulS7YfoS3Zabrm8DOXXU4= golang.org/x/tools v0.7.0/go.mod h1:4pg6aUX35JBAogB10C9AtvVL+qowtN4pT3CGSQex14s= golang.org/x/xerrors v0.0.0-20190717185122-a985d3407aa7/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0= @@ -1103,5 +1122,6 @@ honnef.co/go/tools v0.0.1-2019.2.3/go.mod h1:a3bituU0lyd329TUQxRnasdCoJDkEUEAqEt honnef.co/go/tools v0.0.1-2020.1.3/go.mod h1:X/FiERA/W4tHapMX5mGpAtMSVEeEUOyHaw9vFzvIQ3k= honnef.co/go/tools v0.0.1-2020.1.4/go.mod h1:X/FiERA/W4tHapMX5mGpAtMSVEeEUOyHaw9vFzvIQ3k= rsc.io/binaryregexp v0.2.0/go.mod h1:qTv7/COck+e2FymRvadv62gMdZztPaShugOCi3I+8D8= +rsc.io/pdf v0.1.1/go.mod h1:n8OzWcQ6Sp37PL01nO98y4iUCRdTGarVfzxY20ICaU4= rsc.io/quote/v3 v3.1.0/go.mod h1:yEA65RcK8LyAZtP9Kv3t0HmxON59tX3rD+tICJqUlj0= rsc.io/sampler v1.3.0/go.mod h1:T1hPZKmBbMNahiBKFy5HrXp6adAjACjK9JXDnKaTXpA= diff --git a/vendor/github.com/ProtonMail/go-crypto/brainpool/brainpool.go b/vendor/github.com/ProtonMail/go-crypto/brainpool/brainpool.go index 77fb8b9a04..cb6676de24 100644 --- a/vendor/github.com/ProtonMail/go-crypto/brainpool/brainpool.go +++ b/vendor/github.com/ProtonMail/go-crypto/brainpool/brainpool.go @@ -1,7 +1,7 @@ // Package brainpool implements Brainpool elliptic curves. // Implementation of rcurves is from github.com/ebfe/brainpool // Note that these curves are implemented with naive, non-constant time operations -// and are likely not suitable for enviroments where timing attacks are a concern. +// and are likely not suitable for environments where timing attacks are a concern. package brainpool import ( diff --git a/vendor/github.com/ProtonMail/go-crypto/ocb/rfc7253_test_vectors_suite_a.go b/vendor/github.com/ProtonMail/go-crypto/ocb/rfc7253_test_vectors_suite_a.go index 843085589c..330309ff5f 100644 --- a/vendor/github.com/ProtonMail/go-crypto/ocb/rfc7253_test_vectors_suite_a.go +++ b/vendor/github.com/ProtonMail/go-crypto/ocb/rfc7253_test_vectors_suite_a.go @@ -5,7 +5,7 @@ import ( ) // Test vectors from https://tools.ietf.org/html/rfc7253. Note that key is -// shared accross tests. +// shared across tests. var testKey, _ = hex.DecodeString("000102030405060708090A0B0C0D0E0F") var rfc7253testVectors = []struct { diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/ecdh/ecdh.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/ecdh/ecdh.go index 0b49be4bf3..b09e2a7359 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/ecdh/ecdh.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/ecdh/ecdh.go @@ -8,10 +8,8 @@ package ecdh import ( "bytes" - "crypto/elliptic" "errors" "io" - "math/big" "github.com/ProtonMail/go-crypto/openpgp/aes/keywrap" "github.com/ProtonMail/go-crypto/openpgp/internal/algorithm" @@ -24,9 +22,8 @@ type KDF struct { } type PublicKey struct { - ecc.CurveType - elliptic.Curve - X, Y *big.Int + curve ecc.ECDHCurve + Point []byte KDF } @@ -35,11 +32,56 @@ type PrivateKey struct { D []byte } -func GenerateKey(c elliptic.Curve, kdf KDF, rand io.Reader) (priv *PrivateKey, err error) { +func NewPublicKey(curve ecc.ECDHCurve, kdfHash algorithm.Hash, kdfCipher algorithm.Cipher) *PublicKey { + return &PublicKey{ + curve: curve, + KDF: KDF{ + Hash: kdfHash, + Cipher: kdfCipher, + }, + } +} + +func NewPrivateKey(key PublicKey) *PrivateKey { + return &PrivateKey{ + PublicKey: key, + } +} + +func (pk *PublicKey) GetCurve() ecc.ECDHCurve { + return pk.curve +} + +func (pk *PublicKey) MarshalPoint() []byte { + return pk.curve.MarshalBytePoint(pk.Point) +} + +func (pk *PublicKey) UnmarshalPoint(p []byte) error { + pk.Point = pk.curve.UnmarshalBytePoint(p) + if pk.Point == nil { + return errors.New("ecdh: failed to parse EC point") + } + return nil +} + +func (sk *PrivateKey) MarshalByteSecret() []byte { + return sk.curve.MarshalByteSecret(sk.D) +} + +func (sk *PrivateKey) UnmarshalByteSecret(d []byte) error { + sk.D = sk.curve.UnmarshalByteSecret(d) + + if sk.D == nil { + return errors.New("ecdh: failed to parse scalar") + } + return nil +} + +func GenerateKey(rand io.Reader, c ecc.ECDHCurve, kdf KDF) (priv *PrivateKey, err error) { priv = new(PrivateKey) - priv.PublicKey.Curve = c + priv.PublicKey.curve = c priv.PublicKey.KDF = kdf - priv.D, priv.PublicKey.X, priv.PublicKey.Y, err = elliptic.GenerateKey(c, rand) + priv.PublicKey.Point, priv.D, err = c.GenerateECDH(rand) return } @@ -56,22 +98,12 @@ func Encrypt(random io.Reader, pub *PublicKey, msg, curveOID, fingerprint []byte } m := append(msg, padding...) - if pub.CurveType == ecc.Curve25519 { - return X25519Encrypt(random, pub, m, curveOID, fingerprint) - } - - d, x, y, err := elliptic.GenerateKey(pub.Curve, random) + ephemeral, zb, err := pub.curve.Encaps(random, pub.Point) if err != nil { return nil, nil, err } - vsG = elliptic.Marshal(pub.Curve, x, y) - zbBig, _ := pub.Curve.ScalarMult(pub.X, pub.Y, d) - - byteLen := (pub.Curve.Params().BitSize + 7) >> 3 - zb := make([]byte, byteLen) - zbBytes := zbBig.Bytes() - copy(zb[byteLen-len(zbBytes):], zbBytes) + vsG = pub.curve.MarshalBytePoint(ephemeral) z, err := buildKey(pub, zb, curveOID, fingerprint, false, false) if err != nil { @@ -86,29 +118,34 @@ func Encrypt(random io.Reader, pub *PublicKey, msg, curveOID, fingerprint []byte } -func Decrypt(priv *PrivateKey, vsG, m, curveOID, fingerprint []byte) (msg []byte, err error) { - if priv.PublicKey.CurveType == ecc.Curve25519 { - return X25519Decrypt(priv, vsG, m, curveOID, fingerprint) - } - x, y := elliptic.Unmarshal(priv.Curve, vsG) - zbBig, _ := priv.Curve.ScalarMult(x, y, priv.D) +func Decrypt(priv *PrivateKey, vsG, c, curveOID, fingerprint []byte) (msg []byte, err error) { + var m []byte + zb, err := priv.PublicKey.curve.Decaps(priv.curve.UnmarshalBytePoint(vsG), priv.D) - byteLen := (priv.Curve.Params().BitSize + 7) >> 3 - zb := make([]byte, byteLen) - zbBytes := zbBig.Bytes() - copy(zb[byteLen-len(zbBytes):], zbBytes) + // Try buildKey three times to workaround an old bug, see comments in buildKey. + for i := 0; i < 3; i++ { + var z []byte + // RFC6637 §8: "Compute Z = KDF( S, Z_len, Param );" + z, err = buildKey(&priv.PublicKey, zb, curveOID, fingerprint, i == 1, i == 2) + if err != nil { + return nil, err + } - z, err := buildKey(&priv.PublicKey, zb, curveOID, fingerprint, false, false) - if err != nil { - return nil, err + // RFC6637 §8: "Compute C = AESKeyWrap( Z, c ) as per [RFC3394]" + m, err = keywrap.Unwrap(z, c) + if err == nil { + break + } } - c, err := keywrap.Unwrap(z, m) + // Only return an error after we've tried all (required) variants of buildKey. if err != nil { return nil, err } - return c[:len(c)-int(c[len(c)-1])], nil + // RFC6637 §8: "m = symm_alg_ID || session key || checksum || pkcs5_padding" + // The last byte should be the length of the padding, as per PKCS5; strip it off. + return m[:len(m)-int(m[len(m)-1])], nil } func buildKey(pub *PublicKey, zb []byte, curveOID, fingerprint []byte, stripLeading, stripTrailing bool) ([]byte, error) { @@ -163,3 +200,7 @@ func buildKey(pub *PublicKey, zb []byte, curveOID, fingerprint []byte, stripLead return mb[:pub.KDF.Cipher.KeySize()], nil // return oBits leftmost bits of MB. } + +func Validate(priv *PrivateKey) error { + return priv.curve.ValidateECDH(priv.Point, priv.D) +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/ecdh/x25519.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/ecdh/x25519.go deleted file mode 100644 index 15b41a31df..0000000000 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/ecdh/x25519.go +++ /dev/null @@ -1,157 +0,0 @@ -// Copyright 2017 The Go Authors. All rights reserved. -// Use of this source code is governed by a BSD-style -// license that can be found in the LICENSE file. - -// Package ecdh implements ECDH encryption, suitable for OpenPGP, -// as specified in RFC 6637, section 8. -package ecdh - -import ( - "errors" - "io" - "math/big" - - "github.com/ProtonMail/go-crypto/openpgp/aes/keywrap" - "github.com/ProtonMail/go-crypto/openpgp/internal/ecc" - "golang.org/x/crypto/curve25519" -) - -// Generates a private-public key-pair. -// 'priv' is a private key; a scalar belonging to the set -// 2^{254} + 8 * [0, 2^{251}), in order to avoid the small subgroup of the -// curve. 'pub' is simply 'priv' * G where G is the base point. -// See https://cr.yp.to/ecdh.html and RFC7748, sec 5. -func x25519GenerateKeyPairBytes(rand io.Reader) (priv [32]byte, pub [32]byte, err error) { - var n, helper = new(big.Int), new(big.Int) - n.SetUint64(1) - n.Lsh(n, 252) - helper.SetString("27742317777372353535851937790883648493", 10) - n.Add(n, helper) - - for true { - _, err = io.ReadFull(rand, priv[:]) - if err != nil { - return - } - // The following ensures that the private key is a number of the form - // 2^{254} + 8 * [0, 2^{251}), in order to avoid the small subgroup of - // of the curve. - priv[0] &= 248 - priv[31] &= 127 - priv[31] |= 64 - - // If the scalar is out of range, sample another random number. - if new(big.Int).SetBytes(priv[:]).Cmp(n) >= 0 { - continue - } - - curve25519.ScalarBaseMult(&pub, &priv) - return - } - return -} - -// X25519GenerateKey samples the key pair according to the correct distribution. -// It also sets the given key-derivation function and returns the *PrivateKey -// object along with an error. -func X25519GenerateKey(rand io.Reader, kdf KDF) (priv *PrivateKey, err error) { - ci := ecc.FindByName("Curve25519") - priv = new(PrivateKey) - priv.PublicKey.Curve = ci.Curve - d, pubKey, err := x25519GenerateKeyPairBytes(rand) - if err != nil { - return nil, err - } - priv.PublicKey.KDF = kdf - priv.D = make([]byte, 32) - copyReversed(priv.D, d[:]) - priv.PublicKey.CurveType = ci.CurveType - priv.PublicKey.Curve = ci.Curve - /* - * Note that ECPoint.point differs from the definition of public keys in - * [Curve25519] in two ways: (1) the byte-ordering is big-endian, which is - * more uniform with how big integers are represented in TLS, and (2) there - * is an additional length byte (so ECpoint.point is actually 33 bytes), - * again for uniformity (and extensibility). - */ - var encodedKey = make([]byte, 33) - encodedKey[0] = 0x40 - copy(encodedKey[1:], pubKey[:]) - priv.PublicKey.X = new(big.Int).SetBytes(encodedKey[:]) - priv.PublicKey.Y = new(big.Int) - return priv, nil -} - -func X25519Encrypt(random io.Reader, pub *PublicKey, msg, curveOID, fingerprint []byte) (vsG, c []byte, err error) { - d, ephemeralKey, err := x25519GenerateKeyPairBytes(random) - if err != nil { - return nil, nil, err - } - var pubKey [32]byte - - if pub.X.BitLen() > 33*264 { - return nil, nil, errors.New("ecdh: invalid key") - } - copy(pubKey[:], pub.X.Bytes()[1:]) - - var zb [32]byte - curve25519.ScalarBaseMult(&zb, &d) - curve25519.ScalarMult(&zb, &d, &pubKey) - z, err := buildKey(pub, zb[:], curveOID, fingerprint, false, false) - - if err != nil { - return nil, nil, err - } - - if c, err = keywrap.Wrap(z, msg); err != nil { - return nil, nil, err - } - - var vsg [33]byte - vsg[0] = 0x40 - copy(vsg[1:], ephemeralKey[:]) - - return vsg[:], c, nil -} - -func X25519Decrypt(priv *PrivateKey, vsG, m, curveOID, fingerprint []byte) (msg []byte, err error) { - var zb, d, ephemeralKey [32]byte - if len(vsG) != 33 || vsG[0] != 0x40 { - return nil, errors.New("ecdh: invalid key") - } - copy(ephemeralKey[:], vsG[1:33]) - - copyReversed(d[:], priv.D) - curve25519.ScalarBaseMult(&zb, &d) - curve25519.ScalarMult(&zb, &d, &ephemeralKey) - - var c []byte - - for i := 0; i < 3; i++ { - // Try buildKey three times for compat, see comments in buildKey. - z, err := buildKey(&priv.PublicKey, zb[:], curveOID, fingerprint, i == 1, i == 2) - if err != nil { - return nil, err - } - - res, err := keywrap.Unwrap(z, m) - if i == 2 && err != nil { - // Only return an error after we've tried all variants of buildKey. - return nil, err - } - - c = res - if err == nil { - break - } - } - - return c[:len(c)-int(c[len(c)-1])], nil -} - -func copyReversed(out []byte, in []byte) { - l := len(in) - for i := 0; i < l; i++ { - out[i] = in[l-i-1] - } -} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/ecdsa/ecdsa.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/ecdsa/ecdsa.go new file mode 100644 index 0000000000..6682a21a60 --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/ecdsa/ecdsa.go @@ -0,0 +1,80 @@ +// Package ecdsa implements ECDSA signature, suitable for OpenPGP, +// as specified in RFC 6637, section 5. +package ecdsa + +import ( + "errors" + "github.com/ProtonMail/go-crypto/openpgp/internal/ecc" + "io" + "math/big" +) + +type PublicKey struct { + X, Y *big.Int + curve ecc.ECDSACurve +} + +type PrivateKey struct { + PublicKey + D *big.Int +} + +func NewPublicKey(curve ecc.ECDSACurve) *PublicKey { + return &PublicKey{ + curve: curve, + } +} + +func NewPrivateKey(key PublicKey) *PrivateKey { + return &PrivateKey{ + PublicKey: key, + } +} + +func (pk *PublicKey) GetCurve() ecc.ECDSACurve { + return pk.curve +} + +func (pk *PublicKey) MarshalPoint() []byte { + return pk.curve.MarshalIntegerPoint(pk.X, pk.Y) +} + +func (pk *PublicKey) UnmarshalPoint(p []byte) error { + pk.X, pk.Y = pk.curve.UnmarshalIntegerPoint(p) + if pk.X == nil { + return errors.New("ecdsa: failed to parse EC point") + } + return nil +} + +func (sk *PrivateKey) MarshalIntegerSecret() []byte { + return sk.curve.MarshalIntegerSecret(sk.D) +} + +func (sk *PrivateKey) UnmarshalIntegerSecret(d []byte) error { + sk.D = sk.curve.UnmarshalIntegerSecret(d) + + if sk.D == nil { + return errors.New("ecdsa: failed to parse scalar") + } + return nil +} + +func GenerateKey(rand io.Reader, c ecc.ECDSACurve) (priv *PrivateKey, err error) { + priv = new(PrivateKey) + priv.PublicKey.curve = c + priv.PublicKey.X, priv.PublicKey.Y, priv.D, err = c.GenerateECDSA(rand) + return +} + +func Sign(rand io.Reader, priv *PrivateKey, hash []byte) (r, s *big.Int, err error) { + return priv.PublicKey.curve.Sign(rand, priv.X, priv.Y, priv.D, hash) +} + +func Verify(pub *PublicKey, hash []byte, r, s *big.Int) bool { + return pub.curve.Verify(pub.X, pub.Y, hash, r, s) +} + +func Validate(priv *PrivateKey) error { + return priv.curve.ValidateECDSA(priv.X, priv.Y, priv.D.Bytes()) +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/eddsa/eddsa.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/eddsa/eddsa.go new file mode 100644 index 0000000000..12866c12df --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/eddsa/eddsa.go @@ -0,0 +1,91 @@ +// Package eddsa implements EdDSA signature, suitable for OpenPGP, as specified in +// https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-13.7 +package eddsa + +import ( + "errors" + "github.com/ProtonMail/go-crypto/openpgp/internal/ecc" + "io" +) + +type PublicKey struct { + X []byte + curve ecc.EdDSACurve +} + +type PrivateKey struct { + PublicKey + D []byte +} + +func NewPublicKey(curve ecc.EdDSACurve) *PublicKey { + return &PublicKey{ + curve: curve, + } +} + +func NewPrivateKey(key PublicKey) *PrivateKey { + return &PrivateKey{ + PublicKey: key, + } +} + +func (pk *PublicKey) GetCurve() ecc.EdDSACurve { + return pk.curve +} + +func (pk *PublicKey) MarshalPoint() []byte { + return pk.curve.MarshalBytePoint(pk.X) +} + +func (pk *PublicKey) UnmarshalPoint(x []byte) error { + pk.X = pk.curve.UnmarshalBytePoint(x) + + if pk.X == nil { + return errors.New("eddsa: failed to parse EC point") + } + return nil +} + +func (sk *PrivateKey) MarshalByteSecret() []byte { + return sk.curve.MarshalByteSecret(sk.D) +} + +func (sk *PrivateKey) UnmarshalByteSecret(d []byte) error { + sk.D = sk.curve.UnmarshalByteSecret(d) + + if sk.D == nil { + return errors.New("eddsa: failed to parse scalar") + } + return nil +} + +func GenerateKey(rand io.Reader, c ecc.EdDSACurve) (priv *PrivateKey, err error) { + priv = new(PrivateKey) + priv.PublicKey.curve = c + priv.PublicKey.X, priv.D, err = c.GenerateEdDSA(rand) + return +} + +func Sign(priv *PrivateKey, message []byte) (r, s []byte, err error) { + sig, err := priv.PublicKey.curve.Sign(priv.PublicKey.X, priv.D, message) + if err != nil { + return nil, nil, err + } + + r, s = priv.PublicKey.curve.MarshalSignature(sig) + return +} + +func Verify(pub *PublicKey, message, r, s []byte) bool { + sig := pub.curve.UnmarshalSignature(r, s) + if sig == nil { + return false + } + + return pub.curve.Verify(pub.X, message, sig) +} + +func Validate(priv *PrivateKey) error { + return priv.curve.ValidateEdDSA(priv.PublicKey.X, priv.D) +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/aead.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/aead.go index 17a1bfe9cb..d067065186 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/aead.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/aead.go @@ -16,7 +16,7 @@ type AEADMode uint8 const ( AEADModeEAX = AEADMode(1) AEADModeOCB = AEADMode(2) - AEADModeGCM = AEADMode(100) + AEADModeGCM = AEADMode(3) ) // TagLength returns the length in bytes of authentication tags. diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/hash.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/hash.go index 3f1b61b88e..82e43d6740 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/hash.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/hash.go @@ -32,26 +32,25 @@ type Hash interface { // The following vars mirror the crypto/Hash supported hash functions. var ( - MD5 Hash = cryptoHash{1, crypto.MD5} SHA1 Hash = cryptoHash{2, crypto.SHA1} - RIPEMD160 Hash = cryptoHash{3, crypto.RIPEMD160} SHA256 Hash = cryptoHash{8, crypto.SHA256} SHA384 Hash = cryptoHash{9, crypto.SHA384} SHA512 Hash = cryptoHash{10, crypto.SHA512} SHA224 Hash = cryptoHash{11, crypto.SHA224} + SHA3_256 Hash = cryptoHash{12, crypto.SHA3_256} + SHA3_512 Hash = cryptoHash{14, crypto.SHA3_512} ) // HashById represents the different hash functions specified for OpenPGP. See // http://www.iana.org/assignments/pgp-parameters/pgp-parameters.xhtml#pgp-parameters-14 var ( HashById = map[uint8]Hash{ - MD5.Id(): MD5, - SHA1.Id(): SHA1, - RIPEMD160.Id(): RIPEMD160, SHA256.Id(): SHA256, SHA384.Id(): SHA384, SHA512.Id(): SHA512, SHA224.Id(): SHA224, + SHA3_256.Id(): SHA3_256, + SHA3_512.Id(): SHA3_512, } ) @@ -68,13 +67,12 @@ func (h cryptoHash) Id() uint8 { } var hashNames = map[uint8]string{ - MD5.Id(): "MD5", - SHA1.Id(): "SHA1", - RIPEMD160.Id(): "RIPEMD160", SHA256.Id(): "SHA256", SHA384.Id(): "SHA384", SHA512.Id(): "SHA512", SHA224.Id(): "SHA224", + SHA3_256.Id(): "SHA3-256", + SHA3_512.Id(): "SHA3-512", } func (h cryptoHash) String() string { @@ -84,3 +82,62 @@ func (h cryptoHash) String() string { } return s } + +// HashIdToHash returns a crypto.Hash which corresponds to the given OpenPGP +// hash id. +func HashIdToHash(id byte) (h crypto.Hash, ok bool) { + if hash, ok := HashById[id]; ok { + return hash.HashFunc(), true + } + return 0, false +} + +// HashIdToHashWithSha1 returns a crypto.Hash which corresponds to the given OpenPGP +// hash id, allowing sha1. +func HashIdToHashWithSha1(id byte) (h crypto.Hash, ok bool) { + if hash, ok := HashById[id]; ok { + return hash.HashFunc(), true + } + + if id == SHA1.Id() { + return SHA1.HashFunc(), true + } + + return 0, false +} + +// HashIdToString returns the name of the hash function corresponding to the +// given OpenPGP hash id. +func HashIdToString(id byte) (name string, ok bool) { + if hash, ok := HashById[id]; ok { + return hash.String(), true + } + return "", false +} + +// HashToHashId returns an OpenPGP hash id which corresponds the given Hash. +func HashToHashId(h crypto.Hash) (id byte, ok bool) { + for id, hash := range HashById { + if hash.HashFunc() == h { + return id, true + } + } + + return 0, false +} + +// HashToHashIdWithSha1 returns an OpenPGP hash id which corresponds the given Hash, +// allowing instances of SHA1 +func HashToHashIdWithSha1(h crypto.Hash) (id byte, ok bool) { + for id, hash := range HashById { + if hash.HashFunc() == h { + return id, true + } + } + + if h == SHA1.HashFunc() { + return SHA1.Id(), true + } + + return 0, false +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curve25519.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curve25519.go new file mode 100644 index 0000000000..266635ec57 --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curve25519.go @@ -0,0 +1,171 @@ +// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA. +package ecc + +import ( + "crypto/subtle" + "io" + + "github.com/ProtonMail/go-crypto/openpgp/errors" + x25519lib "github.com/cloudflare/circl/dh/x25519" +) + +type curve25519 struct {} + +func NewCurve25519() *curve25519 { + return &curve25519{} +} + +func (c *curve25519) GetCurveName() string { + return "curve25519" +} + +// MarshalBytePoint encodes the public point from native format, adding the prefix. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6 +func (c *curve25519) MarshalBytePoint(point [] byte) []byte { + return append([]byte{0x40}, point...) +} + +// UnmarshalBytePoint decodes the public point to native format, removing the prefix. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6 +func (c *curve25519) UnmarshalBytePoint(point []byte) []byte { + if len(point) != x25519lib.Size + 1 { + return nil + } + + // Remove prefix + return point[1:] +} + +// MarshalByteSecret encodes the secret scalar from native format. +// Note that the EC secret scalar differs from the definition of public keys in +// [Curve25519] in two ways: (1) the byte-ordering is big-endian, which is +// more uniform with how big integers are represented in OpenPGP, and (2) the +// leading zeros are truncated. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6.1.1 +// Note that leading zero bytes are stripped later when encoding as an MPI. +func (c *curve25519) MarshalByteSecret(secret []byte) []byte { + d := make([]byte, x25519lib.Size) + copyReversed(d, secret) + + // The following ensures that the private key is a number of the form + // 2^{254} + 8 * [0, 2^{251}), in order to avoid the small subgroup of + // the curve. + // + // This masking is done internally in the underlying lib and so is unnecessary + // for security, but OpenPGP implementations require that private keys be + // pre-masked. + d[0] &= 127 + d[0] |= 64 + d[31] &= 248 + + return d +} + +// UnmarshalByteSecret decodes the secret scalar from native format. +// Note that the EC secret scalar differs from the definition of public keys in +// [Curve25519] in two ways: (1) the byte-ordering is big-endian, which is +// more uniform with how big integers are represented in OpenPGP, and (2) the +// leading zeros are truncated. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6.1.1 +func (c *curve25519) UnmarshalByteSecret(d []byte) []byte { + if len(d) > x25519lib.Size { + return nil + } + + // Ensure truncated leading bytes are re-added + secret := make([]byte, x25519lib.Size) + copyReversed(secret, d) + + return secret +} + +// generateKeyPairBytes Generates a private-public key-pair. +// 'priv' is a private key; a little-endian scalar belonging to the set +// 2^{254} + 8 * [0, 2^{251}), in order to avoid the small subgroup of the +// curve. 'pub' is simply 'priv' * G where G is the base point. +// See https://cr.yp.to/ecdh.html and RFC7748, sec 5. +func (c *curve25519) generateKeyPairBytes(rand io.Reader) (priv, pub x25519lib.Key, err error) { + _, err = io.ReadFull(rand, priv[:]) + if err != nil { + return + } + + x25519lib.KeyGen(&pub, &priv) + return +} + +func (c *curve25519) GenerateECDH(rand io.Reader) (point []byte, secret []byte, err error) { + priv, pub, err := c.generateKeyPairBytes(rand) + if err != nil { + return + } + + return pub[:], priv[:], nil +} + +func (c *genericCurve) MaskSecret(secret []byte) []byte { + return secret +} + +func (c *curve25519) Encaps(rand io.Reader, point []byte) (ephemeral, sharedSecret []byte, err error) { + // RFC6637 §8: "Generate an ephemeral key pair {v, V=vG}" + // ephemeralPrivate corresponds to `v`. + // ephemeralPublic corresponds to `V`. + ephemeralPrivate, ephemeralPublic, err := c.generateKeyPairBytes(rand) + if err != nil { + return nil, nil, err + } + + // RFC6637 §8: "Obtain the authenticated recipient public key R" + // pubKey corresponds to `R`. + var pubKey x25519lib.Key + copy(pubKey[:], point) + + // RFC6637 §8: "Compute the shared point S = vR" + // "VB = convert point V to the octet string" + // sharedPoint corresponds to `VB`. + var sharedPoint x25519lib.Key + x25519lib.Shared(&sharedPoint, &ephemeralPrivate, &pubKey) + + return ephemeralPublic[:], sharedPoint[:], nil +} + +func (c *curve25519) Decaps(vsG, secret []byte) (sharedSecret []byte, err error) { + var ephemeralPublic, decodedPrivate, sharedPoint x25519lib.Key + // RFC6637 §8: "The decryption is the inverse of the method given." + // All quoted descriptions in comments below describe encryption, and + // the reverse is performed. + // vsG corresponds to `VB` in RFC6637 §8 . + + // RFC6637 §8: "VB = convert point V to the octet string" + copy(ephemeralPublic[:], vsG) + + // decodedPrivate corresponds to `r` in RFC6637 §8 . + copy(decodedPrivate[:], secret) + + // RFC6637 §8: "Note that the recipient obtains the shared secret by calculating + // S = rV = rvG, where (r,R) is the recipient's key pair." + // sharedPoint corresponds to `S`. + x25519lib.Shared(&sharedPoint, &decodedPrivate, &ephemeralPublic) + + return sharedPoint[:], nil +} + +func (c *curve25519) ValidateECDH(point []byte, secret []byte) (err error) { + var pk, sk x25519lib.Key + copy(sk[:], secret) + x25519lib.KeyGen(&pk, &sk) + + if subtle.ConstantTimeCompare(point, pk[:]) == 0 { + return errors.KeyInvalidError("ecc: invalid curve25519 public point") + } + + return nil +} + +func copyReversed(out []byte, in []byte) { + l := len(in) + for i := 0; i < l; i++ { + out[i] = in[l-i-1] + } +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curveInfo.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curveInfo.go deleted file mode 100644 index f91042fd85..0000000000 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curveInfo.go +++ /dev/null @@ -1,118 +0,0 @@ -package ecc - -import ( - "github.com/ProtonMail/go-crypto/openpgp/internal/encoding" - "crypto/elliptic" - "bytes" - "github.com/ProtonMail/go-crypto/bitcurves" - "github.com/ProtonMail/go-crypto/brainpool" -) - -type SignatureAlgorithm uint8 - -const ( - ECDSA SignatureAlgorithm = 1 - EdDSA SignatureAlgorithm = 2 -) - -type CurveInfo struct { - Name string - Oid *encoding.OID - Curve elliptic.Curve - SigAlgorithm SignatureAlgorithm - CurveType CurveType -} - -var curves = []CurveInfo{ - { - Name: "NIST curve P-256", - Oid: encoding.NewOID([]byte{0x2A, 0x86, 0x48, 0xCE, 0x3D, 0x03, 0x01, 0x07}), - Curve: elliptic.P256(), - CurveType: NISTCurve, - SigAlgorithm: ECDSA, - }, - { - Name: "NIST curve P-384", - Oid: encoding.NewOID([]byte{0x2B, 0x81, 0x04, 0x00, 0x22}), - Curve: elliptic.P384(), - CurveType: NISTCurve, - SigAlgorithm: ECDSA, - }, - { - Name: "NIST curve P-521", - Oid: encoding.NewOID([]byte{0x2B, 0x81, 0x04, 0x00, 0x23}), - Curve: elliptic.P521(), - CurveType: NISTCurve, - SigAlgorithm: ECDSA, - }, - { - Name: "SecP256k1", - Oid: encoding.NewOID([]byte{0x2B, 0x81, 0x04, 0x00, 0x0A}), - Curve: bitcurves.S256(), - CurveType: BitCurve, - SigAlgorithm: ECDSA, - }, - { - Name: "Curve25519", - Oid: encoding.NewOID([]byte{0x2B, 0x06, 0x01, 0x04, 0x01, 0x97, 0x55, 0x01, 0x05, 0x01}), - Curve: elliptic.P256(),// filler - CurveType: Curve25519, - SigAlgorithm: ECDSA, - }, - { - Name: "Ed25519", - Oid: encoding.NewOID([]byte{0x2B, 0x06, 0x01, 0x04, 0x01, 0xDA, 0x47, 0x0F, 0x01}), - Curve: elliptic.P256(), // filler - CurveType: NISTCurve, - SigAlgorithm: EdDSA, - }, - { - Name: "Brainpool P256r1", - Oid: encoding.NewOID([]byte{0x2B, 0x24, 0x03, 0x03, 0x02, 0x08, 0x01, 0x01, 0x07}), - Curve: brainpool.P256r1(), - CurveType: BrainpoolCurve, - SigAlgorithm: ECDSA, - }, - { - Name: "BrainpoolP384r1", - Oid: encoding.NewOID([]byte{0x2B, 0x24, 0x03, 0x03, 0x02, 0x08, 0x01, 0x01, 0x0B}), - Curve: brainpool.P384r1(), - CurveType: BrainpoolCurve, - SigAlgorithm: ECDSA, - }, - { - Name: "BrainpoolP512r1", - Oid: encoding.NewOID([]byte{0x2B, 0x24, 0x03, 0x03, 0x02, 0x08, 0x01, 0x01, 0x0D}), - Curve: brainpool.P512r1(), - CurveType: BrainpoolCurve, - SigAlgorithm: ECDSA, - }, -} - -func FindByCurve(curve elliptic.Curve) *CurveInfo { - for _, curveInfo := range curves { - if curveInfo.Curve == curve { - return &curveInfo - } - } - return nil -} - -func FindByOid(oid encoding.Field) *CurveInfo { - var rawBytes = oid.Bytes() - for _, curveInfo := range curves { - if bytes.Equal(curveInfo.Oid.Bytes(), rawBytes) { - return &curveInfo - } - } - return nil -} - -func FindByName(name string) *CurveInfo { - for _, curveInfo := range curves { - if curveInfo.Name == name { - return &curveInfo - } - } - return nil -} \ No newline at end of file diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curveType.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curveType.go deleted file mode 100644 index de8bca0ac2..0000000000 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curveType.go +++ /dev/null @@ -1,10 +0,0 @@ -package ecc - -type CurveType uint8 - -const ( - NISTCurve CurveType = 1 - Curve25519 CurveType = 2 - BitCurve CurveType = 3 - BrainpoolCurve CurveType = 4 -) \ No newline at end of file diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curve_info.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curve_info.go new file mode 100644 index 0000000000..df2878c957 --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curve_info.go @@ -0,0 +1,140 @@ +// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA. +package ecc + +import ( + "bytes" + "crypto/elliptic" + "github.com/ProtonMail/go-crypto/bitcurves" + "github.com/ProtonMail/go-crypto/brainpool" + "github.com/ProtonMail/go-crypto/openpgp/internal/encoding" +) + +type CurveInfo struct { + GenName string + Oid *encoding.OID + Curve Curve +} + +var Curves = []CurveInfo{ + { + // NIST P-256 + GenName: "P256", + Oid: encoding.NewOID([]byte{0x2A, 0x86, 0x48, 0xCE, 0x3D, 0x03, 0x01, 0x07}), + Curve: NewGenericCurve(elliptic.P256()), + }, + { + // NIST P-384 + GenName: "P384", + Oid: encoding.NewOID([]byte{0x2B, 0x81, 0x04, 0x00, 0x22}), + Curve: NewGenericCurve(elliptic.P384()), + }, + { + // NIST P-521 + GenName: "P521", + Oid: encoding.NewOID([]byte{0x2B, 0x81, 0x04, 0x00, 0x23}), + Curve: NewGenericCurve(elliptic.P521()), + }, + { + // SecP256k1 + GenName: "SecP256k1", + Oid: encoding.NewOID([]byte{0x2B, 0x81, 0x04, 0x00, 0x0A}), + Curve: NewGenericCurve(bitcurves.S256()), + }, + { + // Curve25519 + GenName: "Curve25519", + Oid: encoding.NewOID([]byte{0x2B, 0x06, 0x01, 0x04, 0x01, 0x97, 0x55, 0x01, 0x05, 0x01}), + Curve: NewCurve25519(), + }, + { + // X448 + GenName: "Curve448", + Oid: encoding.NewOID([]byte{0x2B, 0x65, 0x6F}), + Curve: NewX448(), + }, + { + // Ed25519 + GenName: "Curve25519", + Oid: encoding.NewOID([]byte{0x2B, 0x06, 0x01, 0x04, 0x01, 0xDA, 0x47, 0x0F, 0x01}), + Curve: NewEd25519(), + }, + { + // Ed448 + GenName: "Curve448", + Oid: encoding.NewOID([]byte{0x2B, 0x65, 0x71}), + Curve: NewEd448(), + }, + { + // BrainpoolP256r1 + GenName: "BrainpoolP256", + Oid: encoding.NewOID([]byte{0x2B, 0x24, 0x03, 0x03, 0x02, 0x08, 0x01, 0x01, 0x07}), + Curve: NewGenericCurve(brainpool.P256r1()), + }, + { + // BrainpoolP384r1 + GenName: "BrainpoolP384", + Oid: encoding.NewOID([]byte{0x2B, 0x24, 0x03, 0x03, 0x02, 0x08, 0x01, 0x01, 0x0B}), + Curve: NewGenericCurve(brainpool.P384r1()), + }, + { + // BrainpoolP512r1 + GenName: "BrainpoolP512", + Oid: encoding.NewOID([]byte{0x2B, 0x24, 0x03, 0x03, 0x02, 0x08, 0x01, 0x01, 0x0D}), + Curve: NewGenericCurve(brainpool.P512r1()), + }, +} + +func FindByCurve(curve Curve) *CurveInfo { + for _, curveInfo := range Curves { + if curveInfo.Curve.GetCurveName() == curve.GetCurveName() { + return &curveInfo + } + } + return nil +} + +func FindByOid(oid encoding.Field) *CurveInfo { + var rawBytes = oid.Bytes() + for _, curveInfo := range Curves { + if bytes.Equal(curveInfo.Oid.Bytes(), rawBytes) { + return &curveInfo + } + } + return nil +} + +func FindEdDSAByGenName(curveGenName string) EdDSACurve { + for _, curveInfo := range Curves { + if curveInfo.GenName == curveGenName { + curve, ok := curveInfo.Curve.(EdDSACurve) + if ok { + return curve + } + } + } + return nil +} + +func FindECDSAByGenName(curveGenName string) ECDSACurve { + for _, curveInfo := range Curves { + if curveInfo.GenName == curveGenName { + curve, ok := curveInfo.Curve.(ECDSACurve) + if ok { + return curve + } + } + } + return nil +} + +func FindECDHByGenName(curveGenName string) ECDHCurve { + for _, curveInfo := range Curves { + if curveInfo.GenName == curveGenName { + curve, ok := curveInfo.Curve.(ECDHCurve) + if ok { + return curve + } + } + } + return nil +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curves.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curves.go new file mode 100644 index 0000000000..c47072b49e --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curves.go @@ -0,0 +1,48 @@ +// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA. +package ecc + +import ( + "io" + "math/big" +) + +type Curve interface { + GetCurveName() string +} + +type ECDSACurve interface { + Curve + MarshalIntegerPoint(x, y *big.Int) []byte + UnmarshalIntegerPoint([]byte) (x, y *big.Int) + MarshalIntegerSecret(d *big.Int) []byte + UnmarshalIntegerSecret(d []byte) *big.Int + GenerateECDSA(rand io.Reader) (x, y, secret *big.Int, err error) + Sign(rand io.Reader, x, y, d *big.Int, hash []byte) (r, s *big.Int, err error) + Verify(x, y *big.Int, hash []byte, r, s *big.Int) bool + ValidateECDSA(x, y *big.Int, secret []byte) error +} + +type EdDSACurve interface { + Curve + MarshalBytePoint(x []byte) []byte + UnmarshalBytePoint([]byte) (x []byte) + MarshalByteSecret(d []byte) []byte + UnmarshalByteSecret(d []byte) []byte + MarshalSignature(sig []byte) (r, s []byte) + UnmarshalSignature(r, s []byte) (sig []byte) + GenerateEdDSA(rand io.Reader) (pub, priv []byte, err error) + Sign(publicKey, privateKey, message []byte) (sig []byte, err error) + Verify(publicKey, message, sig []byte) bool + ValidateEdDSA(publicKey, privateKey []byte) (err error) +} +type ECDHCurve interface { + Curve + MarshalBytePoint([]byte) (encoded []byte) + UnmarshalBytePoint(encoded []byte) ([]byte) + MarshalByteSecret(d []byte) []byte + UnmarshalByteSecret(d []byte) []byte + GenerateECDH(rand io.Reader) (point []byte, secret []byte, err error) + Encaps(rand io.Reader, point []byte) (ephemeral, sharedSecret []byte, err error) + Decaps(ephemeral, secret []byte) (sharedSecret []byte, err error) + ValidateECDH(public []byte, secret []byte) error +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/ed25519.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/ed25519.go new file mode 100644 index 0000000000..29f6cba9d8 --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/ed25519.go @@ -0,0 +1,111 @@ +// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA. +package ecc + +import ( + "crypto/subtle" + "io" + + "github.com/ProtonMail/go-crypto/openpgp/errors" + ed25519lib "github.com/cloudflare/circl/sign/ed25519" +) + +const ed25519Size = 32 +type ed25519 struct {} + +func NewEd25519() *ed25519 { + return &ed25519{} +} + +func (c *ed25519) GetCurveName() string { + return "ed25519" +} + +// MarshalBytePoint encodes the public point from native format, adding the prefix. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5 +func (c *ed25519) MarshalBytePoint(x []byte) []byte { + return append([]byte{0x40}, x...) +} + +// UnmarshalBytePoint decodes a point from prefixed format to native. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5 +func (c *ed25519) UnmarshalBytePoint(point []byte) (x []byte) { + if len(point) != ed25519lib.PublicKeySize + 1 { + return nil + } + + // Return unprefixed + return point[1:] +} + +// MarshalByteSecret encodes a scalar in native format. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5 +func (c *ed25519) MarshalByteSecret(d []byte) []byte { + return d +} + +// UnmarshalByteSecret decodes a scalar in native format and re-adds the stripped leading zeroes +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5 +func (c *ed25519) UnmarshalByteSecret(s []byte) (d []byte) { + if len(s) > ed25519lib.SeedSize { + return nil + } + + // Handle stripped leading zeroes + d = make([]byte, ed25519lib.SeedSize) + copy(d[ed25519lib.SeedSize - len(s):], s) + return +} + +// MarshalSignature splits a signature in R and S. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.2.3.3.1 +func (c *ed25519) MarshalSignature(sig []byte) (r, s []byte) { + return sig[:ed25519Size], sig[ed25519Size:] +} + +// UnmarshalSignature decodes R and S in the native format, re-adding the stripped leading zeroes +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.2.3.3.1 +func (c *ed25519) UnmarshalSignature(r, s []byte) (sig []byte) { + // Check size + if len(r) > 32 || len(s) > 32 { + return nil + } + + sig = make([]byte, ed25519lib.SignatureSize) + + // Handle stripped leading zeroes + copy(sig[ed25519Size-len(r):ed25519Size], r) + copy(sig[ed25519lib.SignatureSize-len(s):], s) + return sig +} + +func (c *ed25519) GenerateEdDSA(rand io.Reader) (pub, priv []byte, err error) { + pk, sk, err := ed25519lib.GenerateKey(rand) + + if err != nil { + return nil, nil, err + } + + return pk, sk[:ed25519lib.SeedSize], nil +} + +func getEd25519Sk(publicKey, privateKey []byte) ed25519lib.PrivateKey { + return append(privateKey, publicKey...) +} + +func (c *ed25519) Sign(publicKey, privateKey, message []byte) (sig []byte, err error) { + sig = ed25519lib.Sign(getEd25519Sk(publicKey, privateKey), message) + return sig, nil +} + +func (c *ed25519) Verify(publicKey, message, sig []byte) bool { + return ed25519lib.Verify(publicKey, message, sig) +} + +func (c *ed25519) ValidateEdDSA(publicKey, privateKey []byte) (err error) { + priv := getEd25519Sk(publicKey, privateKey) + expectedPriv := ed25519lib.NewKeyFromSeed(priv.Seed()) + if subtle.ConstantTimeCompare(priv, expectedPriv) == 0 { + return errors.KeyInvalidError("ecc: invalid ed25519 secret") + } + return nil +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/ed448.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/ed448.go new file mode 100644 index 0000000000..a2df3dab87 --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/ed448.go @@ -0,0 +1,111 @@ +// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA. +package ecc + +import ( + "crypto/subtle" + "io" + + "github.com/ProtonMail/go-crypto/openpgp/errors" + ed448lib "github.com/cloudflare/circl/sign/ed448" +) + +type ed448 struct {} + +func NewEd448() *ed448 { + return &ed448{} +} + +func (c *ed448) GetCurveName() string { + return "ed448" +} + +// MarshalBytePoint encodes the public point from native format, adding the prefix. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5 +func (c *ed448) MarshalBytePoint(x []byte) []byte { + // Return prefixed + return append([]byte{0x40}, x...) +} + +// UnmarshalBytePoint decodes a point from prefixed format to native. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5 +func (c *ed448) UnmarshalBytePoint(point []byte) (x []byte) { + if len(point) != ed448lib.PublicKeySize + 1 { + return nil + } + + // Strip prefix + return point[1:] +} + +// MarshalByteSecret encoded a scalar from native format to prefixed. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5 +func (c *ed448) MarshalByteSecret(d []byte) []byte { + // Return prefixed + return append([]byte{0x40}, d...) +} + +// UnmarshalByteSecret decodes a scalar from prefixed format to native. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5 +func (c *ed448) UnmarshalByteSecret(s []byte) (d []byte) { + // Check prefixed size + if len(s) != ed448lib.SeedSize + 1 { + return nil + } + + // Strip prefix + return s[1:] +} + +// MarshalSignature splits a signature in R and S, where R is in prefixed native format and +// S is an MPI with value zero. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.2.3.3.2 +func (c *ed448) MarshalSignature(sig []byte) (r, s []byte) { + return append([]byte{0x40}, sig...), []byte{} +} + +// UnmarshalSignature decodes R and S in the native format. Only R is used, in prefixed native format. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.2.3.3.2 +func (c *ed448) UnmarshalSignature(r, s []byte) (sig []byte) { + if len(r) != ed448lib.SignatureSize + 1 { + return nil + } + + return r[1:] +} + +func (c *ed448) GenerateEdDSA(rand io.Reader) (pub, priv []byte, err error) { + pk, sk, err := ed448lib.GenerateKey(rand) + + if err != nil { + return nil, nil, err + } + + return pk, sk[:ed448lib.SeedSize], nil +} + +func getEd448Sk(publicKey, privateKey []byte) ed448lib.PrivateKey { + return append(privateKey, publicKey...) +} + +func (c *ed448) Sign(publicKey, privateKey, message []byte) (sig []byte, err error) { + // Ed448 is used with the empty string as a context string. + // See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-13.7 + sig = ed448lib.Sign(getEd448Sk(publicKey, privateKey), message, "") + + return sig, nil +} + +func (c *ed448) Verify(publicKey, message, sig []byte) bool { + // Ed448 is used with the empty string as a context string. + // See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-13.7 + return ed448lib.Verify(publicKey, message, sig, "") +} + +func (c *ed448) ValidateEdDSA(publicKey, privateKey []byte) (err error) { + priv := getEd448Sk(publicKey, privateKey) + expectedPriv := ed448lib.NewKeyFromSeed(priv.Seed()) + if subtle.ConstantTimeCompare(priv, expectedPriv) == 0 { + return errors.KeyInvalidError("ecc: invalid ed448 secret") + } + return nil +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/generic.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/generic.go new file mode 100644 index 0000000000..e28d7c7106 --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/generic.go @@ -0,0 +1,149 @@ +// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA. +package ecc + +import ( + "crypto/ecdsa" + "crypto/elliptic" + "fmt" + "github.com/ProtonMail/go-crypto/openpgp/errors" + "io" + "math/big" +) + +type genericCurve struct { + Curve elliptic.Curve +} + +func NewGenericCurve(c elliptic.Curve) *genericCurve { + return &genericCurve{ + Curve: c, + } +} + +func (c *genericCurve) GetCurveName() string { + return c.Curve.Params().Name +} + +func (c *genericCurve) MarshalBytePoint(point []byte) []byte { + return point +} + +func (c *genericCurve) UnmarshalBytePoint(point []byte) []byte { + return point +} + +func (c *genericCurve) MarshalIntegerPoint(x, y *big.Int) []byte { + return elliptic.Marshal(c.Curve, x, y) +} + +func (c *genericCurve) UnmarshalIntegerPoint(point []byte) (x, y *big.Int) { + return elliptic.Unmarshal(c.Curve, point) +} + +func (c *genericCurve) MarshalByteSecret(d []byte) []byte { + return d +} + +func (c *genericCurve) UnmarshalByteSecret(d []byte) []byte { + return d +} + +func (c *genericCurve) MarshalIntegerSecret(d *big.Int) []byte { + return d.Bytes() +} + +func (c *genericCurve) UnmarshalIntegerSecret(d []byte) *big.Int { + return new(big.Int).SetBytes(d) +} + +func (c *genericCurve) GenerateECDH(rand io.Reader) (point, secret []byte, err error) { + secret, x, y, err := elliptic.GenerateKey(c.Curve, rand) + if err != nil { + return nil, nil, err + } + + point = elliptic.Marshal(c.Curve, x, y) + return point, secret, nil +} + +func (c *genericCurve) GenerateECDSA(rand io.Reader) (x, y, secret *big.Int, err error) { + priv, err := ecdsa.GenerateKey(c.Curve, rand) + if err != nil { + return + } + + return priv.X, priv.Y, priv.D, nil +} + +func (c *genericCurve) Encaps(rand io.Reader, point []byte) (ephemeral, sharedSecret []byte, err error) { + xP, yP := elliptic.Unmarshal(c.Curve, point) + if xP == nil { + panic("invalid point") + } + + d, x, y, err := elliptic.GenerateKey(c.Curve, rand) + if err != nil { + return nil, nil, err + } + + vsG := elliptic.Marshal(c.Curve, x, y) + zbBig, _ := c.Curve.ScalarMult(xP, yP, d) + + byteLen := (c.Curve.Params().BitSize + 7) >> 3 + zb := make([]byte, byteLen) + zbBytes := zbBig.Bytes() + copy(zb[byteLen-len(zbBytes):], zbBytes) + + return vsG, zb, nil +} + +func (c *genericCurve) Decaps(ephemeral, secret []byte) (sharedSecret []byte, err error) { + x, y := elliptic.Unmarshal(c.Curve, ephemeral) + zbBig, _ := c.Curve.ScalarMult(x, y, secret) + byteLen := (c.Curve.Params().BitSize + 7) >> 3 + zb := make([]byte, byteLen) + zbBytes := zbBig.Bytes() + copy(zb[byteLen-len(zbBytes):], zbBytes) + + return zb, nil +} + +func (c *genericCurve) Sign(rand io.Reader, x, y, d *big.Int, hash []byte) (r, s *big.Int, err error) { + priv := &ecdsa.PrivateKey{D: d, PublicKey: ecdsa.PublicKey{X: x, Y: y, Curve: c.Curve}} + return ecdsa.Sign(rand, priv, hash) +} + +func (c *genericCurve) Verify(x, y *big.Int, hash []byte, r, s *big.Int) bool { + pub := &ecdsa.PublicKey{X: x, Y: y, Curve: c.Curve} + return ecdsa.Verify(pub, hash, r, s) +} + +func (c *genericCurve) validate(xP, yP *big.Int, secret []byte) error { + // the public point should not be at infinity (0,0) + zero := new(big.Int) + if xP.Cmp(zero) == 0 && yP.Cmp(zero) == 0 { + return errors.KeyInvalidError(fmt.Sprintf("ecc (%s): infinity point", c.Curve.Params().Name)) + } + + // re-derive the public point Q' = (X,Y) = dG + // to compare to declared Q in public key + expectedX, expectedY := c.Curve.ScalarBaseMult(secret) + if xP.Cmp(expectedX) != 0 || yP.Cmp(expectedY) != 0 { + return errors.KeyInvalidError(fmt.Sprintf("ecc (%s): invalid point", c.Curve.Params().Name)) + } + + return nil +} + +func (c *genericCurve) ValidateECDSA(xP, yP *big.Int, secret []byte) error { + return c.validate(xP, yP, secret) +} + +func (c *genericCurve) ValidateECDH(point []byte, secret []byte) error { + xP, yP := elliptic.Unmarshal(c.Curve, point) + if xP == nil { + return errors.KeyInvalidError(fmt.Sprintf("ecc (%s): invalid point", c.Curve.Params().Name)) + } + + return c.validate(xP, yP, secret) +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/x448.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/x448.go new file mode 100644 index 0000000000..4a940b4f4d --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/x448.go @@ -0,0 +1,105 @@ +// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA. +package ecc + +import ( + "crypto/subtle" + "io" + + "github.com/ProtonMail/go-crypto/openpgp/errors" + x448lib "github.com/cloudflare/circl/dh/x448" +) + +type x448 struct {} + +func NewX448() *x448 { + return &x448{} +} + +func (c *x448) GetCurveName() string { + return "x448" +} + +// MarshalBytePoint encodes the public point from native format, adding the prefix. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6 +func (c *x448) MarshalBytePoint(point []byte) []byte { + return append([]byte{0x40}, point...) +} + +// UnmarshalBytePoint decodes a point from prefixed format to native. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6 +func (c *x448) UnmarshalBytePoint(point []byte) []byte { + if len(point) != x448lib.Size + 1 { + return nil + } + + return point[1:] +} + +// MarshalByteSecret encoded a scalar from native format to prefixed. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6.1.2 +func (c *x448) MarshalByteSecret(d []byte) []byte { + return append([]byte{0x40}, d...) +} + +// UnmarshalByteSecret decodes a scalar from prefixed format to native. +// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6.1.2 +func (c *x448) UnmarshalByteSecret(d []byte) []byte { + if len(d) != x448lib.Size + 1 { + return nil + } + + // Store without prefix + return d[1:] +} + +func (c *x448) generateKeyPairBytes(rand io.Reader) (sk, pk x448lib.Key, err error) { + if _, err = rand.Read(sk[:]); err != nil { + return + } + + x448lib.KeyGen(&pk, &sk) + return +} + +func (c *x448) GenerateECDH(rand io.Reader) (point []byte, secret []byte, err error) { + priv, pub, err := c.generateKeyPairBytes(rand) + if err != nil { + return + } + + return pub[:], priv[:], nil +} + +func (c *x448) Encaps(rand io.Reader, point []byte) (ephemeral, sharedSecret []byte, err error) { + var pk, ss x448lib.Key + seed, e, err := c.generateKeyPairBytes(rand) + + copy(pk[:], point) + x448lib.Shared(&ss, &seed, &pk) + + return e[:], ss[:], nil +} + +func (c *x448) Decaps(ephemeral, secret []byte) (sharedSecret []byte, err error) { + var ss, sk, e x448lib.Key + + copy(sk[:], secret) + copy(e[:], ephemeral) + x448lib.Shared(&ss, &sk, &e) + + return ss[:], nil +} + +func (c *x448) ValidateECDH(point []byte, secret []byte) error { + var sk, pk, expectedPk x448lib.Key + + copy(pk[:], point) + copy(sk[:], secret) + x448lib.KeyGen(&expectedPk, &sk) + + if subtle.ConstantTimeCompare(expectedPk[:], pk[:]) == 0 { + return errors.KeyInvalidError("ecc: invalid curve25519 public point") + } + + return nil +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/encoding/oid.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/encoding/oid.go index ee39fd6bbb..c9df9fe232 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/encoding/oid.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/internal/encoding/oid.go @@ -32,7 +32,7 @@ func NewOID(bytes []byte) *OID { panic("encoding: NewOID argument length is reserved") default: if len(bytes) > maxOID { - panic("encoding: NewOID argment too large") + panic("encoding: NewOID argument too large") } } diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/key_generation.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/key_generation.go index 0952d8c739..0e71934cd9 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/key_generation.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/key_generation.go @@ -11,12 +11,15 @@ import ( goerrors "errors" "io" "math/big" + "time" "github.com/ProtonMail/go-crypto/openpgp/ecdh" + "github.com/ProtonMail/go-crypto/openpgp/ecdsa" + "github.com/ProtonMail/go-crypto/openpgp/eddsa" "github.com/ProtonMail/go-crypto/openpgp/errors" "github.com/ProtonMail/go-crypto/openpgp/internal/algorithm" + "github.com/ProtonMail/go-crypto/openpgp/internal/ecc" "github.com/ProtonMail/go-crypto/openpgp/packet" - "golang.org/x/crypto/ed25519" ) // NewEntity returns an Entity that contains a fresh RSA/RSA keypair with a @@ -27,11 +30,6 @@ func NewEntity(name, comment, email string, config *packet.Config) (*Entity, err creationTime := config.Now() keyLifetimeSecs := config.KeyLifetime() - uid := packet.NewUserId(name, comment, email) - if uid == nil { - return nil, errors.InvalidArgumentError("user id field contained invalid characters") - } - // Generate a primary signing key primaryPrivRaw, err := newSigner(config) if err != nil { @@ -42,28 +40,66 @@ func NewEntity(name, comment, email string, config *packet.Config) (*Entity, err primary.UpgradeToV5() } - isPrimaryId := true - selfSignature := &packet.Signature{ - Version: primary.PublicKey.Version, - SigType: packet.SigTypePositiveCert, - PubKeyAlgo: primary.PublicKey.PubKeyAlgo, - Hash: config.Hash(), - CreationTime: creationTime, - KeyLifetimeSecs: &keyLifetimeSecs, - IssuerKeyId: &primary.PublicKey.KeyId, - IssuerFingerprint: primary.PublicKey.Fingerprint, - IsPrimaryId: &isPrimaryId, - FlagsValid: true, - FlagSign: true, - FlagCertify: true, - MDC: true, // true by default, see 5.8 vs. 5.14 - AEAD: config.AEAD() != nil, - V5Keys: config != nil && config.V5Keys, + e := &Entity{ + PrimaryKey: &primary.PublicKey, + PrivateKey: primary, + Identities: make(map[string]*Identity), + Subkeys: []Subkey{}, } + err = e.addUserId(name, comment, email, config, creationTime, keyLifetimeSecs) + if err != nil { + return nil, err + } + + // NOTE: No key expiry here, but we will not return this subkey in EncryptionKey() + // if the primary/master key has expired. + err = e.addEncryptionSubkey(config, creationTime, 0) + if err != nil { + return nil, err + } + + return e, nil +} + +func (t *Entity) AddUserId(name, comment, email string, config *packet.Config) error { + creationTime := config.Now() + keyLifetimeSecs := config.KeyLifetime() + return t.addUserId(name, comment, email, config, creationTime, keyLifetimeSecs) +} + +func (t *Entity) addUserId(name, comment, email string, config *packet.Config, creationTime time.Time, keyLifetimeSecs uint32) error { + uid := packet.NewUserId(name, comment, email) + if uid == nil { + return errors.InvalidArgumentError("user id field contained invalid characters") + } + + if _, ok := t.Identities[uid.Id]; ok { + return errors.InvalidArgumentError("user id exist") + } + + primary := t.PrivateKey + + isPrimaryId := len(t.Identities) == 0 + + selfSignature := createSignaturePacket(&primary.PublicKey, packet.SigTypePositiveCert, config) + selfSignature.CreationTime = creationTime + selfSignature.KeyLifetimeSecs = &keyLifetimeSecs + selfSignature.IsPrimaryId = &isPrimaryId + selfSignature.FlagsValid = true + selfSignature.FlagSign = true + selfSignature.FlagCertify = true + selfSignature.SEIPDv1 = true // true by default, see 5.8 vs. 5.14 + selfSignature.SEIPDv2 = config.AEAD() != nil + // Set the PreferredHash for the SelfSignature from the packet.Config. // If it is not the must-implement algorithm from rfc4880bis, append that. - selfSignature.PreferredHash = []uint8{hashToHashId(config.Hash())} + hash, ok := algorithm.HashToHashId(config.Hash()) + if !ok { + return errors.UnsupportedError("unsupported preferred hash function") + } + + selfSignature.PreferredHash = []uint8{hash} if config.Hash() != crypto.SHA256 { selfSignature.PreferredHash = append(selfSignature.PreferredHash, hashToHashId(crypto.SHA256)) } @@ -84,66 +120,30 @@ func NewEntity(name, comment, email string, config *packet.Config) (*Entity, err } // And for DefaultMode. - selfSignature.PreferredAEAD = []uint8{uint8(config.AEAD().Mode())} - if config.AEAD().Mode() != packet.AEADModeEAX { - selfSignature.PreferredAEAD = append(selfSignature.PreferredAEAD, uint8(packet.AEADModeEAX)) + modes := []uint8{uint8(config.AEAD().Mode())} + if config.AEAD().Mode() != packet.AEADModeOCB { + modes = append(modes, uint8(packet.AEADModeOCB)) } - // User ID binding signature - err = selfSignature.SignUserId(uid.Id, &primary.PublicKey, primary, config) - if err != nil { - return nil, err + // For preferred (AES256, GCM), we'll generate (AES256, GCM), (AES256, OCB), (AES128, GCM), (AES128, OCB) + for _, cipher := range selfSignature.PreferredSymmetric { + for _, mode := range modes { + selfSignature.PreferredCipherSuites = append(selfSignature.PreferredCipherSuites, [2]uint8{cipher, mode}) + } } - // Generate an encryption subkey - subPrivRaw, err := newDecrypter(config) + // User ID binding signature + err := selfSignature.SignUserId(uid.Id, &primary.PublicKey, primary, config) if err != nil { - return nil, err - } - sub := packet.NewDecrypterPrivateKey(creationTime, subPrivRaw) - sub.IsSubkey = true - sub.PublicKey.IsSubkey = true - if config != nil && config.V5Keys { - sub.UpgradeToV5() + return err } - - // NOTE: No KeyLifetimeSecs here, but we will not return this subkey in EncryptionKey() - // if the primary/master key has expired. - subKey := Subkey{ - PublicKey: &sub.PublicKey, - PrivateKey: sub, - Sig: &packet.Signature{ - Version: primary.PublicKey.Version, - CreationTime: creationTime, - SigType: packet.SigTypeSubkeyBinding, - PubKeyAlgo: primary.PublicKey.PubKeyAlgo, - Hash: config.Hash(), - FlagsValid: true, - FlagEncryptStorage: true, - FlagEncryptCommunications: true, - IssuerKeyId: &primary.PublicKey.KeyId, - }, + t.Identities[uid.Id] = &Identity{ + Name: uid.Id, + UserId: uid, + SelfSignature: selfSignature, + Signatures: []*packet.Signature{selfSignature}, } - - // Subkey binding signature - err = subKey.Sig.SignKey(subKey.PublicKey, primary, config) - if err != nil { - return nil, err - } - - return &Entity{ - PrimaryKey: &primary.PublicKey, - PrivateKey: primary, - Identities: map[string]*Identity{ - uid.Id: &Identity{ - Name: uid.Id, - UserId: uid, - SelfSignature: selfSignature, - Signatures: []*packet.Signature{selfSignature}, - }, - }, - Subkeys: []Subkey{subKey}, - }, nil + return nil } // AddSigningSubkey adds a signing keypair as a subkey to the Entity. @@ -157,42 +157,30 @@ func (e *Entity) AddSigningSubkey(config *packet.Config) error { return err } sub := packet.NewSignerPrivateKey(creationTime, subPrivRaw) + sub.IsSubkey = true + if config != nil && config.V5Keys { + sub.UpgradeToV5() + } subkey := Subkey{ PublicKey: &sub.PublicKey, PrivateKey: sub, - Sig: &packet.Signature{ - Version: e.PrimaryKey.Version, - CreationTime: creationTime, - KeyLifetimeSecs: &keyLifetimeSecs, - SigType: packet.SigTypeSubkeyBinding, - PubKeyAlgo: e.PrimaryKey.PubKeyAlgo, - Hash: config.Hash(), - FlagsValid: true, - FlagSign: true, - IssuerKeyId: &e.PrimaryKey.KeyId, - EmbeddedSignature: &packet.Signature{ - Version: e.PrimaryKey.Version, - CreationTime: creationTime, - SigType: packet.SigTypePrimaryKeyBinding, - PubKeyAlgo: sub.PublicKey.PubKeyAlgo, - Hash: config.Hash(), - IssuerKeyId: &e.PrimaryKey.KeyId, - }, - }, - } - if config != nil && config.V5Keys { - subkey.PublicKey.UpgradeToV5() } + subkey.Sig = createSignaturePacket(e.PrimaryKey, packet.SigTypeSubkeyBinding, config) + subkey.Sig.CreationTime = creationTime + subkey.Sig.KeyLifetimeSecs = &keyLifetimeSecs + subkey.Sig.FlagsValid = true + subkey.Sig.FlagSign = true + subkey.Sig.EmbeddedSignature = createSignaturePacket(subkey.PublicKey, packet.SigTypePrimaryKeyBinding, config) + subkey.Sig.EmbeddedSignature.CreationTime = creationTime err = subkey.Sig.EmbeddedSignature.CrossSignKey(subkey.PublicKey, e.PrimaryKey, subkey.PrivateKey, config) if err != nil { return err } - subkey.PublicKey.IsSubkey = true - subkey.PrivateKey.IsSubkey = true - if err = subkey.Sig.SignKey(subkey.PublicKey, e.PrivateKey, config); err != nil { + err = subkey.Sig.SignKey(subkey.PublicKey, e.PrivateKey, config) + if err != nil { return err } @@ -205,36 +193,33 @@ func (e *Entity) AddSigningSubkey(config *packet.Config) error { func (e *Entity) AddEncryptionSubkey(config *packet.Config) error { creationTime := config.Now() keyLifetimeSecs := config.KeyLifetime() + return e.addEncryptionSubkey(config, creationTime, keyLifetimeSecs) +} +func (e *Entity) addEncryptionSubkey(config *packet.Config, creationTime time.Time, keyLifetimeSecs uint32) error { subPrivRaw, err := newDecrypter(config) if err != nil { return err } sub := packet.NewDecrypterPrivateKey(creationTime, subPrivRaw) + sub.IsSubkey = true + if config != nil && config.V5Keys { + sub.UpgradeToV5() + } subkey := Subkey{ PublicKey: &sub.PublicKey, PrivateKey: sub, - Sig: &packet.Signature{ - Version: e.PrimaryKey.Version, - CreationTime: creationTime, - KeyLifetimeSecs: &keyLifetimeSecs, - SigType: packet.SigTypeSubkeyBinding, - PubKeyAlgo: e.PrimaryKey.PubKeyAlgo, - Hash: config.Hash(), - FlagsValid: true, - FlagEncryptStorage: true, - FlagEncryptCommunications: true, - IssuerKeyId: &e.PrimaryKey.KeyId, - }, } - if config != nil && config.V5Keys { - subkey.PublicKey.UpgradeToV5() - } - - subkey.PublicKey.IsSubkey = true - subkey.PrivateKey.IsSubkey = true - if err = subkey.Sig.SignKey(subkey.PublicKey, e.PrivateKey, config); err != nil { + subkey.Sig = createSignaturePacket(e.PrimaryKey, packet.SigTypeSubkeyBinding, config) + subkey.Sig.CreationTime = creationTime + subkey.Sig.KeyLifetimeSecs = &keyLifetimeSecs + subkey.Sig.FlagsValid = true + subkey.Sig.FlagEncryptStorage = true + subkey.Sig.FlagEncryptCommunications = true + + err = subkey.Sig.SignKey(subkey.PublicKey, e.PrivateKey, config) + if err != nil { return err } @@ -243,7 +228,7 @@ func (e *Entity) AddEncryptionSubkey(config *packet.Config) error { } // Generates a signing key -func newSigner(config *packet.Config) (signer crypto.Signer, err error) { +func newSigner(config *packet.Config) (signer interface{}, err error) { switch config.PublicKeyAlgorithm() { case packet.PubKeyAlgoRSA: bits := config.RSAModulusBits() @@ -257,11 +242,27 @@ func newSigner(config *packet.Config) (signer crypto.Signer, err error) { } return rsa.GenerateKey(config.Random(), bits) case packet.PubKeyAlgoEdDSA: - _, priv, err := ed25519.GenerateKey(config.Random()) + curve := ecc.FindEdDSAByGenName(string(config.CurveName())) + if curve == nil { + return nil, errors.InvalidArgumentError("unsupported curve") + } + + priv, err := eddsa.GenerateKey(config.Random(), curve) + if err != nil { + return nil, err + } + return priv, nil + case packet.PubKeyAlgoECDSA: + curve := ecc.FindECDSAByGenName(string(config.CurveName())) + if curve == nil { + return nil, errors.InvalidArgumentError("unsupported curve") + } + + priv, err := ecdsa.GenerateKey(config.Random(), curve) if err != nil { return nil, err } - return &priv, nil + return priv, nil default: return nil, errors.InvalidArgumentError("unsupported public key algorithm") } @@ -281,14 +282,18 @@ func newDecrypter(config *packet.Config) (decrypter interface{}, err error) { return generateRSAKeyWithPrimes(config.Random(), 2, bits, primes) } return rsa.GenerateKey(config.Random(), bits) - case packet.PubKeyAlgoEdDSA: - fallthrough // When passing EdDSA, we generate an ECDH subkey + case packet.PubKeyAlgoEdDSA, packet.PubKeyAlgoECDSA: + fallthrough // When passing EdDSA or ECDSA, we generate an ECDH subkey case packet.PubKeyAlgoECDH: var kdf = ecdh.KDF{ Hash: algorithm.SHA512, Cipher: algorithm.AES256, } - return ecdh.X25519GenerateKey(config.Random(), kdf) + curve := ecc.FindECDHByGenName(string(config.CurveName())) + if curve == nil { + return nil, errors.InvalidArgumentError("unsupported curve") + } + return ecdh.GenerateKey(config.Random(), curve, kdf) default: return nil, errors.InvalidArgumentError("unsupported public key algorithm") } diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/keys.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/keys.go index cef3613b61..120f081ada 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/keys.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/keys.go @@ -87,25 +87,29 @@ func (e *Entity) PrimaryIdentity() *Identity { } func shouldPreferIdentity(existingId, potentialNewId *Identity) bool { - if (existingId == nil) { + if existingId == nil { return true } - if (len(existingId.Revocations) > len(potentialNewId.Revocations)) { + if len(existingId.Revocations) > len(potentialNewId.Revocations) { return true } - if (len(existingId.Revocations) < len(potentialNewId.Revocations)) { + if len(existingId.Revocations) < len(potentialNewId.Revocations) { return false } - if (existingId.SelfSignature.IsPrimaryId != nil && *existingId.SelfSignature.IsPrimaryId && - !(potentialNewId.SelfSignature.IsPrimaryId != nil && *potentialNewId.SelfSignature.IsPrimaryId)) { + if existingId.SelfSignature == nil { + return true + } + + if existingId.SelfSignature.IsPrimaryId != nil && *existingId.SelfSignature.IsPrimaryId && + !(potentialNewId.SelfSignature.IsPrimaryId != nil && *potentialNewId.SelfSignature.IsPrimaryId) { return false } - if (!(existingId.SelfSignature.IsPrimaryId != nil && *existingId.SelfSignature.IsPrimaryId) && - potentialNewId.SelfSignature.IsPrimaryId != nil && *potentialNewId.SelfSignature.IsPrimaryId) { + if !(existingId.SelfSignature.IsPrimaryId != nil && *existingId.SelfSignature.IsPrimaryId) && + potentialNewId.SelfSignature.IsPrimaryId != nil && *potentialNewId.SelfSignature.IsPrimaryId { return true } @@ -118,6 +122,7 @@ func (e *Entity) EncryptionKey(now time.Time) (Key, bool) { // Fail to find any encryption key if the... i := e.PrimaryIdentity() if e.PrimaryKey.KeyExpired(i.SelfSignature, now) || // primary key has expired + i.SelfSignature == nil || // user ID has no self-signature i.SelfSignature.SigExpired(now) || // user ID self-signature has expired e.Revoked(now) || // primary key has been revoked i.Revoked(now) { // user ID has been revoked @@ -157,6 +162,19 @@ func (e *Entity) EncryptionKey(now time.Time) (Key, bool) { return Key{}, false } + +// CertificationKey return the best candidate Key for certifying a key with this +// Entity. +func (e *Entity) CertificationKey(now time.Time) (Key, bool) { + return e.CertificationKeyById(now, 0) +} + +// CertificationKeyById return the Key for key certification with this +// Entity and keyID. +func (e *Entity) CertificationKeyById(now time.Time, id uint64) (Key, bool) { + return e.signingKeyByIdUsage(now, id, packet.KeyFlagCertify) +} + // SigningKey return the best candidate Key for signing a message with this // Entity. func (e *Entity) SigningKey(now time.Time) (Key, bool) { @@ -166,9 +184,14 @@ func (e *Entity) SigningKey(now time.Time) (Key, bool) { // SigningKeyById return the Key for signing a message with this // Entity and keyID. func (e *Entity) SigningKeyById(now time.Time, id uint64) (Key, bool) { + return e.signingKeyByIdUsage(now, id, packet.KeyFlagSign) +} + +func (e *Entity) signingKeyByIdUsage(now time.Time, id uint64, flags int) (Key, bool) { // Fail to find any signing key if the... i := e.PrimaryIdentity() if e.PrimaryKey.KeyExpired(i.SelfSignature, now) || // primary key has expired + i.SelfSignature == nil || // user ID has no self-signature i.SelfSignature.SigExpired(now) || // user ID self-signature has expired e.Revoked(now) || // primary key has been revoked i.Revoked(now) { // user ID has been revoked @@ -180,7 +203,8 @@ func (e *Entity) SigningKeyById(now time.Time, id uint64) (Key, bool) { var maxTime time.Time for idx, subkey := range e.Subkeys { if subkey.Sig.FlagsValid && - subkey.Sig.FlagSign && + (flags & packet.KeyFlagCertify == 0 || subkey.Sig.FlagCertify) && + (flags & packet.KeyFlagSign == 0 || subkey.Sig.FlagSign) && subkey.PublicKey.PubKeyAlgo.CanSign() && !subkey.PublicKey.KeyExpired(subkey.Sig, now) && !subkey.Sig.SigExpired(now) && @@ -200,7 +224,9 @@ func (e *Entity) SigningKeyById(now time.Time, id uint64) (Key, bool) { // If we have no candidate subkey then we assume that it's ok to sign // with the primary key. Or, if the primary key is marked as ok to // sign with, then we can use it. - if !i.SelfSignature.FlagsValid || i.SelfSignature.FlagSign && + if !i.SelfSignature.FlagsValid || ( + (flags & packet.KeyFlagCertify == 0 || i.SelfSignature.FlagCertify) && + (flags & packet.KeyFlagSign == 0 || i.SelfSignature.FlagSign)) && e.PrimaryKey.PubKeyAlgo.CanSign() && (id == 0 || e.PrimaryKey.KeyId == id) { return Key{e, e.PrimaryKey, e.PrivateKey, i.SelfSignature, e.Revocations}, true @@ -277,7 +303,7 @@ func (el EntityList) KeysById(id uint64) (keys []Key) { // the bitwise-OR of packet.KeyFlag* values. func (el EntityList) KeysByIdUsage(id uint64, requiredUsage byte) (keys []Key) { for _, key := range el.KeysById(id) { - if key.SelfSignature.FlagsValid && requiredUsage != 0 { + if key.SelfSignature != nil && key.SelfSignature.FlagsValid && requiredUsage != 0 { var usage byte if key.SelfSignature.FlagCertify { usage |= packet.KeyFlagCertify @@ -509,7 +535,6 @@ func addUserID(e *Entity, packets *packet.Reader, pkt *packet.UserId) error { return errors.StructuralError("user ID signature with wrong type") } - if sig.CheckKeyIdOrFingerprint(e.PrimaryKey) { if err = e.PrimaryKey.VerifyUserIdSignature(pkt.Id, e.PrimaryKey, sig); err != nil { return errors.StructuralError("user ID self-signature invalid: " + err.Error()) @@ -615,21 +640,20 @@ func (e *Entity) serializePrivate(w io.Writer, config *packet.Config, reSign boo return } if reSign { + if ident.SelfSignature == nil { + return goerrors.New("openpgp: can't re-sign identity without valid self-signature") + } err = ident.SelfSignature.SignUserId(ident.UserId.Id, e.PrimaryKey, e.PrivateKey, config) if err != nil { return } } - for _, revocation := range ident.Revocations { - err := revocation.Serialize(w) + for _, sig := range ident.Signatures { + err = sig.Serialize(w) if err != nil { return err } } - err = ident.SelfSignature.Serialize(w) - if err != nil { - return - } } for _, subkey := range e.Subkeys { err = subkey.PrivateKey.Serialize(w) @@ -713,26 +737,31 @@ func (e *Entity) Serialize(w io.Writer) error { // necessary. // If config is nil, sensible defaults will be used. func (e *Entity) SignIdentity(identity string, signer *Entity, config *packet.Config) error { - if signer.PrivateKey == nil { - return errors.InvalidArgumentError("signing Entity must have a private key") + certificationKey, ok := signer.CertificationKey(config.Now()) + if !ok { + return errors.InvalidArgumentError("no valid certification key found") } - if signer.PrivateKey.Encrypted { + + if certificationKey.PrivateKey.Encrypted { return errors.InvalidArgumentError("signing Entity's private key must be decrypted") } + ident, ok := e.Identities[identity] if !ok { return errors.InvalidArgumentError("given identity string not found in Entity") } - sig := &packet.Signature{ - Version: signer.PrivateKey.Version, - SigType: packet.SigTypeGenericCert, - PubKeyAlgo: signer.PrivateKey.PubKeyAlgo, - Hash: config.Hash(), - CreationTime: config.Now(), - IssuerKeyId: &signer.PrivateKey.KeyId, + sig := createSignaturePacket(certificationKey.PublicKey, packet.SigTypeGenericCert, config) + + signingUserID := config.SigningUserId() + if signingUserID != "" { + if _, ok := signer.Identities[signingUserID]; !ok { + return errors.InvalidArgumentError("signer identity string not found in signer Entity") + } + sig.SignerUserId = &signingUserID } - if err := sig.SignUserId(identity, e.PrimaryKey, signer.PrivateKey, config); err != nil { + + if err := sig.SignUserId(identity, e.PrimaryKey, certificationKey.PrivateKey, config); err != nil { return err } ident.Signatures = append(ident.Signatures, sig) @@ -743,16 +772,9 @@ func (e *Entity) SignIdentity(identity string, signer *Entity, config *packet.Co // specified reason code and text (RFC4880 section-5.2.3.23). // If config is nil, sensible defaults will be used. func (e *Entity) RevokeKey(reason packet.ReasonForRevocation, reasonText string, config *packet.Config) error { - revSig := &packet.Signature{ - Version: e.PrimaryKey.Version, - CreationTime: config.Now(), - SigType: packet.SigTypeKeyRevocation, - PubKeyAlgo: e.PrimaryKey.PubKeyAlgo, - Hash: config.Hash(), - RevocationReason: &reason, - RevocationReasonText: reasonText, - IssuerKeyId: &e.PrimaryKey.KeyId, - } + revSig := createSignaturePacket(e.PrimaryKey, packet.SigTypeKeyRevocation, config) + revSig.RevocationReason = &reason + revSig.RevocationReasonText = reasonText if err := revSig.RevokeKey(e.PrimaryKey, e.PrivateKey, config); err != nil { return err @@ -769,16 +791,9 @@ func (e *Entity) RevokeSubkey(sk *Subkey, reason packet.ReasonForRevocation, rea return errors.InvalidArgumentError("given subkey is not associated with this key") } - revSig := &packet.Signature{ - Version: e.PrimaryKey.Version, - CreationTime: config.Now(), - SigType: packet.SigTypeSubkeyRevocation, - PubKeyAlgo: e.PrimaryKey.PubKeyAlgo, - Hash: config.Hash(), - RevocationReason: &reason, - RevocationReasonText: reasonText, - IssuerKeyId: &e.PrimaryKey.KeyId, - } + revSig := createSignaturePacket(e.PrimaryKey, packet.SigTypeSubkeyRevocation, config) + revSig.RevocationReason = &reason + revSig.RevocationReasonText = reasonText if err := revSig.RevokeSubkey(sk.PublicKey, e.PrivateKey, config); err != nil { return err diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/keys_test_data.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/keys_test_data.go index a2219e64d1..108fd096f3 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/keys_test_data.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/keys_test_data.go @@ -398,3 +398,141 @@ sr92MA2+k901WeISR7qEzcI0Fdg8AyFAExaEK6VyjP7SXGLwvfisw34OxuZr3qmx I+KgLycyeDvGoBj0HCLO3gVaBe4ubVrj5KjhX2PVNEJd3XZRzaXZE2aAMQ== =AmgT -----END PGP PUBLIC KEY BLOCK-----` + +const rsa2048PrivateKey = `-----BEGIN PGP PRIVATE KEY BLOCK----- +Comment: gpg (GnuPG) 2.2.27 with libgcrypt 1.9.4 + +lQPGBGL07P0BCADL0etN8efyAXA6sL2WfQvHe5wEKYXPWeN2+jiqSppfeRZAOlzP +kZ3U+cloeJriplYvVJwI3ID2aw52Z/TRn8iKRP5eOUFrEgcgl06lazLtOndK7o7p +oBV5mLtHEirFHm6W61fNt10jzM0jx0PV6nseLhFB2J42F1cmU/aBgFo41wjLSZYr +owR+v+O9S5sUXblQF6sEDcY01sBEu09zrIgT49VFwQ1Cvdh9XZEOTQBfdiugoj5a +DS3fAqAka3r1VoQK4eR7/upnYSgSACGeaQ4pUelKku5rpm50gdWTY8ppq0k9e1eT +y2x0OQcW3hWE+j4os1ca0ZEADMdqr/99MOxrABEBAAH+BwMCJWxU4VOZOJ7/I6vX +FxdfBhIBEXlJ52FM3S/oYtXqLhkGyrtmZOeEazVvUtuCe3M3ScHI8xCthcmE8E0j +bi+ZEHPS2NiBZtgHFF27BLn7zZuTc+oD5WKduZdK3463egnyThTqIIMl25WZBuab +k5ycwYrWwBH0jfA4gwJ13ai4pufKC2RM8qIu6YAVPglYBKFLKGvvJHa5vI+LuA0E +K+k35hIic7yVUcQneNnAF2598X5yWiieYnOZpmHlRw1zfbMwOJr3ZNj2v94u7b+L +sTa/1Uv9887Vb6sJp0c2Sh4cwEccoPYkvMqFn3ZrJUr3UdDu1K2vWohPtswzhrYV ++RdPZE5RLoCQufKvlPezk0Pzhzb3bBU7XjUbdGY1nH/EyQeBNp+Gw6qldKvzcBaB +cyOK1c6hPSszpJX93m5UxCN55IeifmcNjmbDh8vGCCdajy6d56qV2n4F3k7vt1J1 +0UlxIGhqijJoaTCX66xjLMC6VXkSz6aHQ35rnXosm/cqPcQshsZTdlfSyWkorfdr +4Hj8viBER26mjYurTMLBKDtUN724ZrR0Ev5jorX9uoKlgl87bDZHty2Ku2S+vR68 +VAvnj6Fi1BYNclnDoqxdRB2z5T9JbWE52HuG83/QsplhEqXxESDxriTyTHMbNxEe +88soVCDh4tgflZFa2ucUr6gEKJKij7jgahARnyaXfPZlQBUAS1YUeILYmN+VR+M/ +sHENpwDWc7TInn8VN638nJV+ScZGMih3AwWZTIoiLju3MMt1K0YZ3NuiqwGH4Jwg +/BbEdTWeCci9y3NEQHQ3uZZ5p6j2CwFVlK11idemCMvAiTVxF+gKdaLMkeCwKxru +J3YzhKEo+iDVYbPYBYizx/EHBn2U5kITQ5SBXzjTaaFMNZJEf9JYsL1ybPB6HOFY +VNVB2KT8CGVwtCJHb2xhbmcgR29waGVyIDxnb2xhbmdAZXhhbXBsZS5vcmc+iQFO +BBMBCgA4FiEEC6K7U7f4qesybTnqSkra7gHusm0FAmL07P0CGwMFCwkIBwIGFQoJ +CAsCBBYCAwECHgECF4AACgkQSkra7gHusm1MvwgAxpClWkeSqIhMQfbiuz0+lOkE +89y1DCFw8bHjZoUf4/4K8hFA3dGkk+q72XFgiyaCpfXxMt6Gi+dN47t+tTv9NIqC +sukbaoJBmJDhN6+djmJOgOYy+FWsW2LAk2LOwKYulpnBZdcA5rlMAhBg7gevQpF+ +ruSU69P7UUaFJl/DC7hDmaIcj+4cjBE/HO26SnVQjoTfjZT82rDh1Wsuf8LnkJUk +b3wezBLpXKjDvdHikdv4gdlR4AputVM38aZntYYglh/EASo5TneyZ7ZscdLNRdcF +r5O2fKqrOJLOdaoYRFZZWOvP5GtEVFDU7WGivOSVfiszBE0wZR3dgZRJipHCXJ0D +xgRi9Oz9AQgAtMJcJqLLVANJHl90tWuoizDkm+Imcwq2ubQAjpclnNrODnDK+7o4 +pBsWmXbZSdkC4gY+LhOQA6bPDD0JEHM58DOnrm49BddxXAyK0HPsk4sGGt2SS86B +OawWNdfJVyqw4bAiHWDmQg4PcjBbt3ocOIxAR6I5kBSiQVxuGQs9T+Zvg3G1r3Or +fS6DzlgY3HFUML5YsGH4lOxNSOoKAP68GIH/WNdUZ+feiRg9knIib6I3Hgtf5eO8 +JRH7aWE/TD7eNu36bLLjT5TZPq5r6xaD2plbtPOyXbNPWs9qI1yG+VnErfaLY0w8 +Qo0aqzbgID+CTZVomXSOpOcQseaFKw8ZfQARAQAB/gcDArha6+/+d4OY/w9N32K9 +hFNYt4LufTETMQ+k/sBeaMuAVzmT47DlAXzkrZhGW4dZOtXMu1rXaUwHlqkhEyzL +L4MYEWVXfD+LbZNEK3MEFss6RK+UAMeT/PTV9aA8cXQVPcSJYzfBXHQ1U1hnOgrO +apn92MN8RmkhX8wJLyeWTMMuP4lXByJMmmGo8WvifeRD2kFY4y0WVBDAXJAV4Ljf +Di/bBiwoc5a+gxHuZT2W9ZSxBQJNXdt4Un2IlyZuo58s5MLx2N0EaNJ8PwRUE6fM +RZYO8aZCEPUtINE4njbvsWOMCtrblsMPwZ1B0SiIaWmLaNyGdCNKea+fCIW7kasC +JYMhnLumpUTXg5HNexkCsl7ABWj0PYBflOE61h8EjWpnQ7JBBVKS2ua4lMjwHRX7 +5o5yxym9k5UZNFdGoXVL7xpizCcdGawxTJvwhs3vBqu1ZWYCegOAZWDrOkCyhUpq +8uKMROZFbn+FwE+7tjt+v2ed62FVEvD6g4V3ThCA6mQqeOARfJWN8GZY8BDm8lht +crOXriUkrx+FlrgGtm2CkwjW5/9Xd7AhFpHnQdFeozOHyq1asNSgJF9sNi9Lz94W +skQSVRi0IExxSXYGI3Y0nnAZUe2BAQflYPJdEveSr3sKlUqXiETTA1VXsTPK3kOC +92CbLzj/Hz199jZvywwyu53I+GKMpF42rMq7zxr2oa61YWY4YE/GDezwwys/wLx/ +QpCW4X3ppI7wJjCSSqEV0baYZSSli1ayheS6dxi8QnSpX1Bmpz6gU7m/M9Sns+hl +J7ZvgpjCAiV7KJTjtclr5/S02zP78LTVkoTWoz/6MOTROwaP63VBUXX8pbJhf/vu +DLmNnDk8joMJxoDXWeNU0EnNl4hP7Z/jExRBOEO4oAnUf/Sf6gCWQhL5qcajtg6w +tGv7vx3f2IkBNgQYAQoAIBYhBAuiu1O3+KnrMm056kpK2u4B7rJtBQJi9Oz9AhsM +AAoJEEpK2u4B7rJt6lgIAMBWqP4BCOGnQXBbgJ0+ACVghpkFUXZTb/tXJc8UUvTM +8uov6k/RsqDGZrvhhufD7Wwt7j9v7dD7VPp7bPyjVWyimglQzWguTUUqLDGlstYH +5uYv1pzma0ZsAGNqFeGlTLsKOSGKFMH4rB2KfN2n51L8POvtp1y7GKZQbWIWneaB +cZr3BINU5GMvYYU7pAYcoR+mJPdJx5Up3Ocn+bn8Tu1sy9C/ArtCQucazGnoE9u1 +HhNLrh0CdzzX7TNH6TQ8LwPOvq0K5l/WqbN9lE0WBBhMv2HydxhluO8AhU+A5GqC +C+wET7nVDnhoOm/fstIeb7/LN7OYejKPeHdFBJEL9GA= +=u442 +-----END PGP PRIVATE KEY BLOCK-----` + +const curve25519PrivateKey = `-----BEGIN PGP PRIVATE KEY BLOCK----- +Comment: gpg (GnuPG) 2.2.27 with libgcrypt 1.9.4 + +lFgEYvTtQBYJKwYBBAHaRw8BAQdAxsNXLbrk5xOjpO24VhOMvQ0/F+JcyIkckMDH +X3FIGxcAAQDFOlunZWYuPsCx5JLp78vKqUTfgef9TGG4oD6I/Sa0zBMstCJHb2xh +bmcgR29waGVyIDxnb2xhbmdAZXhhbXBsZS5vcmc+iJAEExYIADgWIQSFQHEOazmo +h1ldII4MvfnLQ4JBNwUCYvTtQAIbAwULCQgHAgYVCgkICwIEFgIDAQIeAQIXgAAK +CRAMvfnLQ4JBN5yeAQCKdry8B5ScCPrev2+UByMCss7Sdu5RhomCFsHdNPLcKAEA +8ugei+1owHsV+3cGwWWzKk6sLa8ZN87i3SKuOGp9DQycXQRi9O1AEgorBgEEAZdV +AQUBAQdA5CubPp8l7lrVQ25h7Hx5XN2C8xanRnnpcjzEooCaEA0DAQgHAAD/Rpc+ +sOZUXrFk9HOWB1XU41LoWbDBoG8sP8RWAVYwD5AQRYh4BBgWCAAgFiEEhUBxDms5 +qIdZXSCODL35y0OCQTcFAmL07UACGwwACgkQDL35y0OCQTcvdwEA7lb5g/YisrEf +iq660uwMGoepLUfvtqKzuQ6heYe83y0BAN65Ffg5HYOJzUEi0kZQRf7OhdtuL2kJ +SRXn8DmCTfEB +=cELM +-----END PGP PRIVATE KEY BLOCK-----` + +const curve448PrivateKey = `-----BEGIN PGP PRIVATE KEY BLOCK----- +Comment: C1DB 65D5 80D7 B922 7254 4B1E A699 9895 FABA CE52 + +xYUEYV2UmRYDK2VxAc9AFyxgh5xnSbyt50TWl558mw9xdMN+/UBLr5+UMP8IsrvV +MdXuTIE8CyaUQKSotHtH2RkYEXj5nsMAAAHPQIbTMSzjIWug8UFECzAex5FHgAgH +gYF3RK+TS8D24wX8kOu2C/NoVxwGY+p+i0JHaB+7yljriSKAGxs6wsBEBB8WCgCD +BYJhXZSZBYkFpI+9AwsJBwkQppmYlfq6zlJHFAAAAAAAHgAgc2FsdEBub3RhdGlv +bnMuc2VxdW9pYS1wZ3Aub3Jn5wSpIutJ5HncJWk4ruUV8GzQF390rR5+qWEAnAoY +akcDFQoIApsBAh4BFiEEwdtl1YDXuSJyVEseppmYlfq6zlIAALzdA5dA/fsgYg/J +qaQriYKaPUkyHL7EB3BXhV2d1h/gk+qJLvXQuU2WEJ/XSs3GrsBRiiZwvPH4o+7b +mleAxjy5wpS523vqrrBR2YZ5FwIku7WS4litSdn4AtVam/TlLdMNIf41CtFeZKBe +c5R5VNdQy8y7qy8AAADNEUN1cnZlNDQ4IE9wdGlvbiA4wsBHBBMWCgCGBYJhXZSZ +BYkFpI+9AwsJBwkQppmYlfq6zlJHFAAAAAAAHgAgc2FsdEBub3RhdGlvbnMuc2Vx +dW9pYS1wZ3Aub3JnD55UsYMzE6OACP+mgw5zvT+BBgol8/uFQjHg4krjUCMDFQoI +ApkBApsBAh4BFiEEwdtl1YDXuSJyVEseppmYlfq6zlIAAPQJA5dA0Xqwzn/0uwCq +RlsOVCB3f5NOj1exKnlBvRw0xT1VBee1yxvlUt5eIAoCxWoRlWBJob3TTkhm9AEA +8dyhwPmyGfWHzPw5NFG3xsXrZdNXNvit9WMVAPcmsyR7teXuDlJItxRAdJJc/qfJ +YVbBFoaNrhYAAADHhQRhXZSZFgMrZXEBz0BL7THZ9MnCLfSPJ1FMLim9eGkQ3Bfn +M3he5rOwO3t14QI1LjI96OjkeJipMgcFAmEP1Bq/ZHGO7oAAAc9AFnE8iNBaT3OU +EFtxkmWHXtdaYMmGGRdopw9JPXr/UxuunDln5o9dxPxf7q7z26zXrZen+qed/Isa +HsDCwSwEGBYKAWsFgmFdlJkFiQWkj70JEKaZmJX6us5SRxQAAAAAAB4AIHNhbHRA +bm90YXRpb25zLnNlcXVvaWEtcGdwLm9yZxREUizdTcepBzgSMOv2VWQCWbl++3CZ +EbgAWDryvSsyApsCwDGgBBkWCgBvBYJhXZSZCRBKo3SL4S5djkcUAAAAAAAeACBz +YWx0QG5vdGF0aW9ucy5zZXF1b2lhLXBncC5vcmemoGTDjmNQiIzw6HOEddvS0OB7 +UZ/P07jM/EVmnYxTlBYhBAxsnkGpx1UCiH6gUUqjdIvhLl2OAAALYQOXQAMB1oKq +OWxSFmvmgCKNcbAAyA3piF5ERIqs4z07oJvqDYrOWt75UsEIH/04gU/vHc4EmfG2 +JDLJgOLlyTUPkL/08f0ydGZPofFQBhn8HkuFFjnNtJ5oz3GIP4cdWMQFaUw0uvjb +PM9Tm3ptENGd6Ts1AAAAFiEEwdtl1YDXuSJyVEseppmYlfq6zlIAAGpTA5dATR6i +U2GrpUcQgpG+JqfAsGmF4yAOhgFxc1UfidFk3nTup3fLgjipkYY170WLRNbyKkVO +Sodx93GAs58rizO1acDAWiLq3cyEPBFXbyFThbcNPcLl+/77Uk/mgkYrPQFAQWdK +1kSRm4SizDBK37K8ChAAAADHhwRhXZSZEgMrZW8Bx0DMhzvhQo+OsXeqQ6QVw4sF +CaexHh6rLohh7TzL3hQSjoJ27fV6JBkIWdn0LfrMlJIDbSv2SLdlgQMBCgkAAcdA +MO7Dc1myF6Co1fAH+EuP+OxhxP/7V6ljuSCZENDfA49tQkzTta+PniG+pOVB2LHb +huyaKBkqiaogo8LAOQQYFgoAeAWCYV2UmQWJBaSPvQkQppmYlfq6zlJHFAAAAAAA +HgAgc2FsdEBub3RhdGlvbnMuc2VxdW9pYS1wZ3Aub3JnEjBMQAmc/2u45u5FQGmB +QAytjSG2LM3JQN+PPVl5vEkCmwwWIQTB22XVgNe5InJUSx6mmZiV+rrOUgAASdYD +l0DXEHQ9ykNP2rZP35ET1dmiFagFtTj/hLQcWlg16LqvJNGqOgYXuqTerbiOOt02 +XLCBln+wdewpU4ChEffMUDRBfqfQco/YsMqWV7bHJHAO0eC/DMKCjyU90xdH7R/d +QgqsfguR1PqPuJxpXV4bSr6CGAAAAA== +=MSvh +-----END PGP PRIVATE KEY BLOCK-----` + +const keyWithNotation = `-----BEGIN PGP PRIVATE KEY BLOCK----- + +xVgEY9gIshYJKwYBBAHaRw8BAQdAF25fSM8OpFlXZhop4Qpqo5ywGZ4jgWlR +ppjhIKDthREAAQC+LFpzFcMJYcjxGKzBGHN0Px2jU4d04YSRnFAik+lVVQ6u +zRdUZXN0IDx0ZXN0QGV4YW1wbGUuY29tPsLACgQQFgoAfAUCY9gIsgQLCQcI +CRD/utJOCym8pR0UgAAAAAAQAAR0ZXh0QGV4YW1wbGUuY29tdGVzdB8UAAAA +AAASAARiaW5hcnlAZXhhbXBsZS5jb20AAQIDAxUICgQWAAIBAhkBAhsDAh4B +FiEEEMCQTUVGKgCX5rDQ/7rSTgspvKUAAPl5AP9Npz90LxzrB97Qr2DrGwfG +wuYn4FSYwtuPfZHHeoIabwD/QEbvpQJ/NBb9EAZuow4Rirlt1yv19mmnF+j5 +8yUzhQjHXQRj2AiyEgorBgEEAZdVAQUBAQdARXAo30DmKcyUg6co7OUm0RNT +z9iqFbDBzA8A47JEt1MDAQgHAAD/XKK3lBm0SqMR558HLWdBrNG6NqKuqb5X +joCML987ZNgRD8J4BBgWCAAqBQJj2AiyCRD/utJOCym8pQIbDBYhBBDAkE1F +RioAl+aw0P+60k4LKbylAADRxgEAg7UfBDiDPp5LHcW9D+SgFHk6+GyEU4ev +VppQxdtxPvAA/34snHBX7Twnip1nMt7P4e2hDiw/hwQ7oqioOvc6jMkP +=Z8YJ +-----END PGP PRIVATE KEY BLOCK----- +` diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_config.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_config.go index 7350974eff..fec41a0e73 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_config.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_config.go @@ -4,6 +4,14 @@ package packet import "math/bits" +// CipherSuite contains a combination of Cipher and Mode +type CipherSuite struct { + // The cipher function + Cipher CipherFunction + // The AEAD mode of operation. + Mode AEADMode +} + // AEADConfig collects a number of AEAD parameters along with sensible defaults. // A nil AEADConfig is valid and results in all default values. type AEADConfig struct { @@ -15,12 +23,13 @@ type AEADConfig struct { // Mode returns the AEAD mode of operation. func (conf *AEADConfig) Mode() AEADMode { + // If no preference is specified, OCB is used (which is mandatory to implement). if conf == nil || conf.DefaultMode == 0 { - return AEADModeEAX + return AEADModeOCB } + mode := conf.DefaultMode - if mode != AEADModeEAX && mode != AEADModeOCB && - mode != AEADModeExperimentalGCM { + if mode != AEADModeEAX && mode != AEADModeOCB && mode != AEADModeGCM { panic("AEAD mode unsupported") } return mode @@ -28,6 +37,8 @@ func (conf *AEADConfig) Mode() AEADMode { // ChunkSizeByte returns the byte indicating the chunk size. The effective // chunk size is computed with the formula uint64(1) << (chunkSizeByte + 6) +// limit to 16 = 4 MiB +// https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-5.13.2 func (conf *AEADConfig) ChunkSizeByte() byte { if conf == nil || conf.ChunkSize == 0 { return 12 // 1 << (12 + 6) == 262144 bytes @@ -38,8 +49,8 @@ func (conf *AEADConfig) ChunkSizeByte() byte { switch { case exponent < 6: exponent = 6 - case exponent > 27: - exponent = 27 + case exponent > 16: + exponent = 16 } return byte(exponent - 6) diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_crypter.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_crypter.go new file mode 100644 index 0000000000..a82b040bdd --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_crypter.go @@ -0,0 +1,265 @@ +// Copyright (C) 2019 ProtonTech AG + +package packet + +import ( + "bytes" + "crypto/cipher" + "encoding/binary" + "io" + + "github.com/ProtonMail/go-crypto/openpgp/errors" +) + +// aeadCrypter is an AEAD opener/sealer, its configuration, and data for en/decryption. +type aeadCrypter struct { + aead cipher.AEAD + chunkSize int + initialNonce []byte + associatedData []byte // Chunk-independent associated data + chunkIndex []byte // Chunk counter + packetTag packetType + bytesProcessed int // Amount of plaintext bytes encrypted/decrypted + buffer bytes.Buffer // Buffered bytes across chunks +} + +// computeNonce takes the incremental index and computes an eXclusive OR with +// the least significant 8 bytes of the receivers' initial nonce (see sec. +// 5.16.1 and 5.16.2). It returns the resulting nonce. +func (wo *aeadCrypter) computeNextNonce() (nonce []byte) { + if wo.packetTag == packetTypeSymmetricallyEncryptedIntegrityProtected { + return append(wo.initialNonce, wo.chunkIndex...) + } + + nonce = make([]byte, len(wo.initialNonce)) + copy(nonce, wo.initialNonce) + offset := len(wo.initialNonce) - 8 + for i := 0; i < 8; i++ { + nonce[i+offset] ^= wo.chunkIndex[i] + } + return +} + +// incrementIndex performs an integer increment by 1 of the integer represented by the +// slice, modifying it accordingly. +func (wo *aeadCrypter) incrementIndex() error { + index := wo.chunkIndex + if len(index) == 0 { + return errors.AEADError("Index has length 0") + } + for i := len(index) - 1; i >= 0; i-- { + if index[i] < 255 { + index[i]++ + return nil + } + index[i] = 0 + } + return errors.AEADError("cannot further increment index") +} + +// aeadDecrypter reads and decrypts bytes. It buffers extra decrypted bytes when +// necessary, similar to aeadEncrypter. +type aeadDecrypter struct { + aeadCrypter // Embedded ciphertext opener + reader io.Reader // 'reader' is a partialLengthReader + peekedBytes []byte // Used to detect last chunk + eof bool +} + +// Read decrypts bytes and reads them into dst. It decrypts when necessary and +// buffers extra decrypted bytes. It returns the number of bytes copied into dst +// and an error. +func (ar *aeadDecrypter) Read(dst []byte) (n int, err error) { + // Return buffered plaintext bytes from previous calls + if ar.buffer.Len() > 0 { + return ar.buffer.Read(dst) + } + + // Return EOF if we've previously validated the final tag + if ar.eof { + return 0, io.EOF + } + + // Read a chunk + tagLen := ar.aead.Overhead() + cipherChunkBuf := new(bytes.Buffer) + _, errRead := io.CopyN(cipherChunkBuf, ar.reader, int64(ar.chunkSize + tagLen)) + cipherChunk := cipherChunkBuf.Bytes() + if errRead != nil && errRead != io.EOF { + return 0, errRead + } + decrypted, errChunk := ar.openChunk(cipherChunk) + if errChunk != nil { + return 0, errChunk + } + + // Return decrypted bytes, buffering if necessary + if len(dst) < len(decrypted) { + n = copy(dst, decrypted[:len(dst)]) + ar.buffer.Write(decrypted[len(dst):]) + } else { + n = copy(dst, decrypted) + } + + // Check final authentication tag + if errRead == io.EOF { + errChunk := ar.validateFinalTag(ar.peekedBytes) + if errChunk != nil { + return n, errChunk + } + ar.eof = true // Mark EOF for when we've returned all buffered data + } + return +} + +// Close is noOp. The final authentication tag of the stream was already +// checked in the last Read call. In the future, this function could be used to +// wipe the reader and peeked, decrypted bytes, if necessary. +func (ar *aeadDecrypter) Close() (err error) { + return nil +} + +// openChunk decrypts and checks integrity of an encrypted chunk, returning +// the underlying plaintext and an error. It accesses peeked bytes from next +// chunk, to identify the last chunk and decrypt/validate accordingly. +func (ar *aeadDecrypter) openChunk(data []byte) ([]byte, error) { + tagLen := ar.aead.Overhead() + // Restore carried bytes from last call + chunkExtra := append(ar.peekedBytes, data...) + // 'chunk' contains encrypted bytes, followed by an authentication tag. + chunk := chunkExtra[:len(chunkExtra)-tagLen] + ar.peekedBytes = chunkExtra[len(chunkExtra)-tagLen:] + + adata := ar.associatedData + if ar.aeadCrypter.packetTag == packetTypeAEADEncrypted { + adata = append(ar.associatedData, ar.chunkIndex...) + } + + nonce := ar.computeNextNonce() + plainChunk, err := ar.aead.Open(nil, nonce, chunk, adata) + if err != nil { + return nil, err + } + ar.bytesProcessed += len(plainChunk) + if err = ar.aeadCrypter.incrementIndex(); err != nil { + return nil, err + } + return plainChunk, nil +} + +// Checks the summary tag. It takes into account the total decrypted bytes into +// the associated data. It returns an error, or nil if the tag is valid. +func (ar *aeadDecrypter) validateFinalTag(tag []byte) error { + // Associated: tag, version, cipher, aead, chunk size, ... + amountBytes := make([]byte, 8) + binary.BigEndian.PutUint64(amountBytes, uint64(ar.bytesProcessed)) + + adata := ar.associatedData + if ar.aeadCrypter.packetTag == packetTypeAEADEncrypted { + // ... index ... + adata = append(ar.associatedData, ar.chunkIndex...) + } + + // ... and total number of encrypted octets + adata = append(adata, amountBytes...) + nonce := ar.computeNextNonce() + _, err := ar.aead.Open(nil, nonce, tag, adata) + if err != nil { + return err + } + return nil +} + +// aeadEncrypter encrypts and writes bytes. It encrypts when necessary according +// to the AEAD block size, and buffers the extra encrypted bytes for next write. +type aeadEncrypter struct { + aeadCrypter // Embedded plaintext sealer + writer io.WriteCloser // 'writer' is a partialLengthWriter +} + + +// Write encrypts and writes bytes. It encrypts when necessary and buffers extra +// plaintext bytes for next call. When the stream is finished, Close() MUST be +// called to append the final tag. +func (aw *aeadEncrypter) Write(plaintextBytes []byte) (n int, err error) { + // Append plaintextBytes to existing buffered bytes + n, err = aw.buffer.Write(plaintextBytes) + if err != nil { + return n, err + } + // Encrypt and write chunks + for aw.buffer.Len() >= aw.chunkSize { + plainChunk := aw.buffer.Next(aw.chunkSize) + encryptedChunk, err := aw.sealChunk(plainChunk) + if err != nil { + return n, err + } + _, err = aw.writer.Write(encryptedChunk) + if err != nil { + return n, err + } + } + return +} + +// Close encrypts and writes the remaining buffered plaintext if any, appends +// the final authentication tag, and closes the embedded writer. This function +// MUST be called at the end of a stream. +func (aw *aeadEncrypter) Close() (err error) { + // Encrypt and write a chunk if there's buffered data left, or if we haven't + // written any chunks yet. + if aw.buffer.Len() > 0 || aw.bytesProcessed == 0 { + plainChunk := aw.buffer.Bytes() + lastEncryptedChunk, err := aw.sealChunk(plainChunk) + if err != nil { + return err + } + _, err = aw.writer.Write(lastEncryptedChunk) + if err != nil { + return err + } + } + // Compute final tag (associated data: packet tag, version, cipher, aead, + // chunk size... + adata := aw.associatedData + + if aw.aeadCrypter.packetTag == packetTypeAEADEncrypted { + // ... index ... + adata = append(aw.associatedData, aw.chunkIndex...) + } + + // ... and total number of encrypted octets + amountBytes := make([]byte, 8) + binary.BigEndian.PutUint64(amountBytes, uint64(aw.bytesProcessed)) + adata = append(adata, amountBytes...) + + nonce := aw.computeNextNonce() + finalTag := aw.aead.Seal(nil, nonce, nil, adata) + _, err = aw.writer.Write(finalTag) + if err != nil { + return err + } + return aw.writer.Close() +} + +// sealChunk Encrypts and authenticates the given chunk. +func (aw *aeadEncrypter) sealChunk(data []byte) ([]byte, error) { + if len(data) > aw.chunkSize { + return nil, errors.AEADError("chunk exceeds maximum length") + } + if aw.associatedData == nil { + return nil, errors.AEADError("can't seal without headers") + } + adata := aw.associatedData + if aw.aeadCrypter.packetTag == packetTypeAEADEncrypted { + adata = append(aw.associatedData, aw.chunkIndex...) + } + + nonce := aw.computeNextNonce() + encrypted := aw.aead.Seal(nil, nonce, data, adata) + aw.bytesProcessed += len(data) + if err := aw.aeadCrypter.incrementIndex(); err != nil { + return nil, err + } + return encrypted, nil +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_encrypted.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_encrypted.go index 85c53f08aa..98bd876bf2 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_encrypted.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_encrypted.go @@ -3,17 +3,14 @@ package packet import ( - "bytes" - "crypto/cipher" - "crypto/rand" - "encoding/binary" "io" "github.com/ProtonMail/go-crypto/openpgp/errors" "github.com/ProtonMail/go-crypto/openpgp/internal/algorithm" ) -// AEADEncrypted represents an AEAD Encrypted Packet (tag 20, RFC4880bis-5.16). +// AEADEncrypted represents an AEAD Encrypted Packet. +// See https://www.ietf.org/archive/id/draft-koch-openpgp-2015-rfc4880bis-00.html#name-aead-encrypted-data-packet-t type AEADEncrypted struct { cipher CipherFunction mode AEADMode @@ -25,33 +22,6 @@ type AEADEncrypted struct { // Only currently defined version const aeadEncryptedVersion = 1 -// An AEAD opener/sealer, its configuration, and data for en/decryption. -type aeadCrypter struct { - aead cipher.AEAD - chunkSize int - initialNonce []byte - associatedData []byte // Chunk-independent associated data - chunkIndex []byte // Chunk counter - bytesProcessed int // Amount of plaintext bytes encrypted/decrypted - buffer bytes.Buffer // Buffered bytes accross chunks -} - -// aeadEncrypter encrypts and writes bytes. It encrypts when necessary according -// to the AEAD block size, and buffers the extra encrypted bytes for next write. -type aeadEncrypter struct { - aeadCrypter // Embedded plaintext sealer - writer io.WriteCloser // 'writer' is a partialLengthWriter -} - -// aeadDecrypter reads and decrypts bytes. It buffers extra decrypted bytes when -// necessary, similar to aeadEncrypter. -type aeadDecrypter struct { - aeadCrypter // Embedded ciphertext opener - reader io.Reader // 'reader' is a partialLengthReader - peekedBytes []byte // Used to detect last chunk - eof bool -} - func (ae *AEADEncrypted) parse(buf io.Reader) error { headerData := make([]byte, 4) if n, err := io.ReadFull(buf, headerData); n < 4 { @@ -59,10 +29,14 @@ func (ae *AEADEncrypted) parse(buf io.Reader) error { } // Read initial nonce mode := AEADMode(headerData[2]) - nonceLen := mode.NonceLength() - if nonceLen == 0 { + nonceLen := mode.IvLength() + + // This packet supports only EAX and OCB + // https://www.ietf.org/archive/id/draft-koch-openpgp-2015-rfc4880bis-00.html#name-aead-encrypted-data-packet-t + if nonceLen == 0 || mode > AEADModeOCB { return errors.AEADError("unknown mode") } + initialNonce := make([]byte, nonceLen) if n, err := io.ReadFull(buf, initialNonce); n < nonceLen { return errors.AEADError("could not read aead nonce:" + err.Error()) @@ -75,7 +49,7 @@ func (ae *AEADEncrypted) parse(buf io.Reader) error { } ae.cipher = CipherFunction(c) ae.mode = mode - ae.chunkSizeByte = byte(headerData[3]) + ae.chunkSizeByte = headerData[3] return nil } @@ -105,225 +79,13 @@ func (ae *AEADEncrypted) decrypt(key []byte) (io.ReadCloser, error) { initialNonce: ae.initialNonce, associatedData: ae.associatedData(), chunkIndex: make([]byte, 8), + packetTag: packetTypeAEADEncrypted, }, reader: ae.Contents, peekedBytes: peekedBytes}, nil } -// Read decrypts bytes and reads them into dst. It decrypts when necessary and -// buffers extra decrypted bytes. It returns the number of bytes copied into dst -// and an error. -func (ar *aeadDecrypter) Read(dst []byte) (n int, err error) { - // Return buffered plaintext bytes from previous calls - if ar.buffer.Len() > 0 { - return ar.buffer.Read(dst) - } - - // Return EOF if we've previously validated the final tag - if ar.eof { - return 0, io.EOF - } - - // Read a chunk - tagLen := ar.aead.Overhead() - cipherChunkBuf := new(bytes.Buffer) - _, errRead := io.CopyN(cipherChunkBuf, ar.reader, int64(ar.chunkSize + tagLen)) - cipherChunk := cipherChunkBuf.Bytes() - if errRead != nil && errRead != io.EOF { - return 0, errRead - } - decrypted, errChunk := ar.openChunk(cipherChunk) - if errChunk != nil { - return 0, errChunk - } - - // Return decrypted bytes, buffering if necessary - if len(dst) < len(decrypted) { - n = copy(dst, decrypted[:len(dst)]) - ar.buffer.Write(decrypted[len(dst):]) - } else { - n = copy(dst, decrypted) - } - - // Check final authentication tag - if errRead == io.EOF { - errChunk := ar.validateFinalTag(ar.peekedBytes) - if errChunk != nil { - return n, errChunk - } - ar.eof = true // Mark EOF for when we've returned all buffered data - } - return -} - -// Close is noOp. The final authentication tag of the stream was already -// checked in the last Read call. In the future, this function could be used to -// wipe the reader and peeked, decrypted bytes, if necessary. -func (ar *aeadDecrypter) Close() (err error) { - return nil -} - -// SerializeAEADEncrypted initializes the aeadCrypter and returns a writer. -// This writer encrypts and writes bytes (see aeadEncrypter.Write()). -func SerializeAEADEncrypted(w io.Writer, key []byte, cipher CipherFunction, mode AEADMode, config *Config) (io.WriteCloser, error) { - writeCloser := noOpCloser{w} - writer, err := serializeStreamHeader(writeCloser, packetTypeAEADEncrypted) - if err != nil { - return nil, err - } - - // Data for en/decryption: tag, version, cipher, aead mode, chunk size - aeadConf := config.AEAD() - prefix := []byte{ - 0xD4, - aeadEncryptedVersion, - byte(config.Cipher()), - byte(aeadConf.Mode()), - aeadConf.ChunkSizeByte(), - } - n, err := writer.Write(prefix[1:]) - if err != nil || n < 4 { - return nil, errors.AEADError("could not write AEAD headers") - } - // Sample nonce - nonceLen := aeadConf.Mode().NonceLength() - nonce := make([]byte, nonceLen) - n, err = rand.Read(nonce) - if err != nil { - panic("Could not sample random nonce") - } - _, err = writer.Write(nonce) - if err != nil { - return nil, err - } - blockCipher := CipherFunction(config.Cipher()).new(key) - alg := AEADMode(aeadConf.Mode()).new(blockCipher) - - chunkSize := decodeAEADChunkSize(aeadConf.ChunkSizeByte()) - return &aeadEncrypter{ - aeadCrypter: aeadCrypter{ - aead: alg, - chunkSize: chunkSize, - associatedData: prefix, - chunkIndex: make([]byte, 8), - initialNonce: nonce, - }, - writer: writer}, nil -} - -// Write encrypts and writes bytes. It encrypts when necessary and buffers extra -// plaintext bytes for next call. When the stream is finished, Close() MUST be -// called to append the final tag. -func (aw *aeadEncrypter) Write(plaintextBytes []byte) (n int, err error) { - // Append plaintextBytes to existing buffered bytes - n, err = aw.buffer.Write(plaintextBytes) - if err != nil { - return n, err - } - // Encrypt and write chunks - for aw.buffer.Len() >= aw.chunkSize { - plainChunk := aw.buffer.Next(aw.chunkSize) - encryptedChunk, err := aw.sealChunk(plainChunk) - if err != nil { - return n, err - } - _, err = aw.writer.Write(encryptedChunk) - if err != nil { - return n, err - } - } - return -} - -// Close encrypts and writes the remaining buffered plaintext if any, appends -// the final authentication tag, and closes the embedded writer. This function -// MUST be called at the end of a stream. -func (aw *aeadEncrypter) Close() (err error) { - // Encrypt and write a chunk if there's buffered data left, or if we haven't - // written any chunks yet. - if aw.buffer.Len() > 0 || aw.bytesProcessed == 0 { - plainChunk := aw.buffer.Bytes() - lastEncryptedChunk, err := aw.sealChunk(plainChunk) - if err != nil { - return err - } - _, err = aw.writer.Write(lastEncryptedChunk) - if err != nil { - return err - } - } - // Compute final tag (associated data: packet tag, version, cipher, aead, - // chunk size, index, total number of encrypted octets). - adata := append(aw.associatedData[:], aw.chunkIndex[:]...) - adata = append(adata, make([]byte, 8)...) - binary.BigEndian.PutUint64(adata[13:], uint64(aw.bytesProcessed)) - nonce := aw.computeNextNonce() - finalTag := aw.aead.Seal(nil, nonce, nil, adata) - _, err = aw.writer.Write(finalTag) - if err != nil { - return err - } - return aw.writer.Close() -} - -// sealChunk Encrypts and authenticates the given chunk. -func (aw *aeadEncrypter) sealChunk(data []byte) ([]byte, error) { - if len(data) > aw.chunkSize { - return nil, errors.AEADError("chunk exceeds maximum length") - } - if aw.associatedData == nil { - return nil, errors.AEADError("can't seal without headers") - } - adata := append(aw.associatedData, aw.chunkIndex...) - nonce := aw.computeNextNonce() - encrypted := aw.aead.Seal(nil, nonce, data, adata) - aw.bytesProcessed += len(data) - if err := aw.aeadCrypter.incrementIndex(); err != nil { - return nil, err - } - return encrypted, nil -} - -// openChunk decrypts and checks integrity of an encrypted chunk, returning -// the underlying plaintext and an error. It access peeked bytes from next -// chunk, to identify the last chunk and decrypt/validate accordingly. -func (ar *aeadDecrypter) openChunk(data []byte) ([]byte, error) { - tagLen := ar.aead.Overhead() - // Restore carried bytes from last call - chunkExtra := append(ar.peekedBytes, data...) - // 'chunk' contains encrypted bytes, followed by an authentication tag. - chunk := chunkExtra[:len(chunkExtra)-tagLen] - ar.peekedBytes = chunkExtra[len(chunkExtra)-tagLen:] - adata := append(ar.associatedData, ar.chunkIndex...) - nonce := ar.computeNextNonce() - plainChunk, err := ar.aead.Open(nil, nonce, chunk, adata) - if err != nil { - return nil, err - } - ar.bytesProcessed += len(plainChunk) - if err = ar.aeadCrypter.incrementIndex(); err != nil { - return nil, err - } - return plainChunk, nil -} - -// Checks the summary tag. It takes into account the total decrypted bytes into -// the associated data. It returns an error, or nil if the tag is valid. -func (ar *aeadDecrypter) validateFinalTag(tag []byte) error { - // Associated: tag, version, cipher, aead, chunk size, index, and octets - amountBytes := make([]byte, 8) - binary.BigEndian.PutUint64(amountBytes, uint64(ar.bytesProcessed)) - adata := append(ar.associatedData, ar.chunkIndex...) - adata = append(adata, amountBytes...) - nonce := ar.computeNextNonce() - _, err := ar.aead.Open(nil, nonce, tag, adata) - if err != nil { - return err - } - return nil -} - -// Associated data for chunks: tag, version, cipher, mode, chunk size byte +// associatedData for chunks: tag, version, cipher, mode, chunk size byte func (ae *AEADEncrypted) associatedData() []byte { return []byte{ 0xD4, @@ -332,33 +94,3 @@ func (ae *AEADEncrypted) associatedData() []byte { byte(ae.mode), ae.chunkSizeByte} } - -// computeNonce takes the incremental index and computes an eXclusive OR with -// the least significant 8 bytes of the receivers' initial nonce (see sec. -// 5.16.1 and 5.16.2). It returns the resulting nonce. -func (wo *aeadCrypter) computeNextNonce() (nonce []byte) { - nonce = make([]byte, len(wo.initialNonce)) - copy(nonce, wo.initialNonce) - offset := len(wo.initialNonce) - 8 - for i := 0; i < 8; i++ { - nonce[i+offset] ^= wo.chunkIndex[i] - } - return -} - -// incrementIndex perfoms an integer increment by 1 of the integer represented by the -// slice, modifying it accordingly. -func (wo *aeadCrypter) incrementIndex() error { - index := wo.chunkIndex - if len(index) == 0 { - return errors.AEADError("Index has length 0") - } - for i := len(index) - 1; i >= 0; i-- { - if index[i] < 255 { - index[i]++ - return nil - } - index[i] = 0 - } - return errors.AEADError("cannot further increment index") -} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/compressed.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/compressed.go index c55cecd357..2f5cad71da 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/compressed.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/compressed.go @@ -47,6 +47,8 @@ func (c *Compressed) parse(r io.Reader) error { } switch buf[0] { + case 0: + c.Body = r case 1: c.Body = flate.NewReader(r) case 2: diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/config.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/config.go index 5652dd8148..82ae539981 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/config.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/config.go @@ -52,6 +52,9 @@ type Config struct { Algorithm PublicKeyAlgorithm // Some known primes that are optionally prepopulated by the caller RSAPrimes []*big.Int + // Curve configures the desired packet.Curve if the Algorithm is PubKeyAlgoECDSA, + // PubKeyAlgoEdDSA, or PubKeyAlgoECDH. If empty Curve25519 is used. + Curve Curve // AEADConfig configures the use of the new AEAD Encrypted Data Packet, // defined in the draft of the next version of the OpenPGP specification. // If a non-nil AEADConfig is passed, usage of this packet is enabled. By @@ -78,6 +81,25 @@ type Config struct { // By default, the signing key is selected automatically, preferring // signing subkeys if available. SigningKeyId uint64 + // SigningIdentity is used to specify a user ID (packet Signer's User ID, type 28) + // when producing a generic certification signature onto an existing user ID. + // The identity must be present in the signer Entity. + SigningIdentity string + // InsecureAllowUnauthenticatedMessages controls, whether it is tolerated to read + // encrypted messages without Modification Detection Code (MDC). + // MDC is mandated by the IETF OpenPGP Crypto Refresh draft and has long been implemented + // in most OpenPGP implementations. Messages without MDC are considered unnecessarily + // insecure and should be prevented whenever possible. + // In case one needs to deal with messages from very old OpenPGP implementations, there + // might be no other way than to tolerate the missing MDC. Setting this flag, allows this + // mode of operation. It should be considered a measure of last resort. + InsecureAllowUnauthenticatedMessages bool + // KnownNotations is a map of Notation Data names to bools, which controls + // the notation names that are allowed to be present in critical Notation Data + // signature subpackets. + KnownNotations map[string]bool + // SignatureNotations is a list of Notations to be added to any signatures. + SignatureNotations []*Notation } func (c *Config) Random() io.Reader { @@ -152,6 +174,13 @@ func (c *Config) PublicKeyAlgorithm() PublicKeyAlgorithm { return c.Algorithm } +func (c *Config) CurveName() Curve { + if c == nil || c.Curve == "" { + return Curve25519 + } + return c.Curve +} + func (c *Config) AEAD() *AEADConfig { if c == nil { return nil @@ -165,3 +194,31 @@ func (c *Config) SigningKey() uint64 { } return c.SigningKeyId } + +func (c *Config) SigningUserId() string { + if c == nil { + return "" + } + return c.SigningIdentity +} + +func (c *Config) AllowUnauthenticatedMessages() bool { + if c == nil { + return false + } + return c.InsecureAllowUnauthenticatedMessages +} + +func (c *Config) KnownNotation(notationName string) bool { + if c == nil { + return false + } + return c.KnownNotations[notationName] +} + +func (c *Config) Notations() []*Notation { + if c == nil { + return nil + } + return c.SignatureNotations +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/encrypted_key.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/encrypted_key.go index 801aec92b4..eeff2902c1 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/encrypted_key.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/encrypted_key.go @@ -25,7 +25,7 @@ const encryptedKeyVersion = 3 type EncryptedKey struct { KeyId uint64 Algo PublicKeyAlgorithm - CipherFunc CipherFunction // only valid after a successful Decrypt + CipherFunc CipherFunction // only valid after a successful Decrypt for a v3 packet Key []byte // only valid after a successful Decrypt encryptedMPI1, encryptedMPI2 encoding.Field @@ -123,6 +123,10 @@ func (e *EncryptedKey) Decrypt(priv *PrivateKey, config *Config) error { } e.CipherFunc = CipherFunction(b[0]) + if !e.CipherFunc.IsSupported() { + return errors.UnsupportedError("unsupported encryption function") + } + e.Key = b[1 : len(b)-2] expectedChecksum := uint16(b[len(b)-2])<<8 | uint16(b[len(b)-1]) checksum := checksumKeyMaterial(e.Key) diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/notation.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/notation.go new file mode 100644 index 0000000000..2c3e3f50b2 --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/notation.go @@ -0,0 +1,29 @@ +package packet + +// Notation type represents a Notation Data subpacket +// see https://tools.ietf.org/html/rfc4880#section-5.2.3.16 +type Notation struct { + Name string + Value []byte + IsCritical bool + IsHumanReadable bool +} + +func (notation *Notation) getData() []byte { + nameData := []byte(notation.Name) + nameLen := len(nameData) + valueLen := len(notation.Value) + + data := make([]byte, 8+nameLen+valueLen) + if notation.IsHumanReadable { + data[0] = 0x80 + } + + data[4] = byte(nameLen >> 8) + data[5] = byte(nameLen) + data[6] = byte(valueLen >> 8) + data[7] = byte(valueLen) + copy(data[8:8+nameLen], nameData) + copy(data[8+nameLen:], notation.Value) + return data +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/one_pass_signature.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/one_pass_signature.go index 41c35de219..fff119e639 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/one_pass_signature.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/one_pass_signature.go @@ -8,7 +8,7 @@ import ( "crypto" "encoding/binary" "github.com/ProtonMail/go-crypto/openpgp/errors" - "github.com/ProtonMail/go-crypto/openpgp/s2k" + "github.com/ProtonMail/go-crypto/openpgp/internal/algorithm" "io" "strconv" ) @@ -37,7 +37,7 @@ func (ops *OnePassSignature) parse(r io.Reader) (err error) { } var ok bool - ops.Hash, ok = s2k.HashIdToHash(buf[2]) + ops.Hash, ok = algorithm.HashIdToHashWithSha1(buf[2]) if !ok { return errors.UnsupportedError("hash function: " + strconv.Itoa(int(buf[2]))) } @@ -55,7 +55,7 @@ func (ops *OnePassSignature) Serialize(w io.Writer) error { buf[0] = onePassSignatureVersion buf[1] = uint8(ops.SigType) var ok bool - buf[2], ok = s2k.HashToHashId(ops.Hash) + buf[2], ok = algorithm.HashToHashId(ops.Hash) if !ok { return errors.UnsupportedError("hash type: " + strconv.Itoa(int(ops.Hash))) } diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/opaque.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/opaque.go index e3879199e6..4f8204079f 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/opaque.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/opaque.go @@ -84,8 +84,9 @@ func (or *OpaqueReader) Next() (op *OpaquePacket, err error) { // OpaqueSubpacket represents an unparsed OpenPGP subpacket, // as found in signature and user attribute packets. type OpaqueSubpacket struct { - SubType uint8 - Contents []byte + SubType uint8 + EncodedLength []byte // Store the original encoded length for signature verifications. + Contents []byte } // OpaqueSubpackets extracts opaque, unparsed OpenPGP subpackets from @@ -109,6 +110,7 @@ func OpaqueSubpackets(contents []byte) (result []*OpaqueSubpacket, err error) { func nextSubpacket(contents []byte) (subHeaderLen int, subPacket *OpaqueSubpacket, err error) { // RFC 4880, section 5.2.3.1 var subLen uint32 + var encodedLength []byte if len(contents) < 1 { goto Truncated } @@ -119,6 +121,7 @@ func nextSubpacket(contents []byte) (subHeaderLen int, subPacket *OpaqueSubpacke if len(contents) < subHeaderLen { goto Truncated } + encodedLength = contents[0:1] subLen = uint32(contents[0]) contents = contents[1:] case contents[0] < 255: @@ -126,6 +129,7 @@ func nextSubpacket(contents []byte) (subHeaderLen int, subPacket *OpaqueSubpacke if len(contents) < subHeaderLen { goto Truncated } + encodedLength = contents[0:2] subLen = uint32(contents[0]-192)<<8 + uint32(contents[1]) + 192 contents = contents[2:] default: @@ -133,16 +137,19 @@ func nextSubpacket(contents []byte) (subHeaderLen int, subPacket *OpaqueSubpacke if len(contents) < subHeaderLen { goto Truncated } + encodedLength = contents[0:5] subLen = uint32(contents[1])<<24 | uint32(contents[2])<<16 | uint32(contents[3])<<8 | uint32(contents[4]) contents = contents[5:] + } if subLen > uint32(len(contents)) || subLen == 0 { goto Truncated } subPacket.SubType = contents[0] + subPacket.EncodedLength = encodedLength subPacket.Contents = contents[1:subLen] return Truncated: @@ -152,7 +159,9 @@ Truncated: func (osp *OpaqueSubpacket) Serialize(w io.Writer) (err error) { buf := make([]byte, 6) - n := serializeSubpacketLength(buf, len(osp.Contents)+1) + copy(buf, osp.EncodedLength) + n := len(osp.EncodedLength) + buf[n] = osp.SubType if _, err = w.Write(buf[:n+1]); err != nil { return diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/packet.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/packet.go index 6520381377..f73f6f40d6 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/packet.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/packet.go @@ -302,21 +302,21 @@ func consumeAll(r io.Reader) (n int64, err error) { type packetType uint8 const ( - packetTypeEncryptedKey packetType = 1 - packetTypeSignature packetType = 2 - packetTypeSymmetricKeyEncrypted packetType = 3 - packetTypeOnePassSignature packetType = 4 - packetTypePrivateKey packetType = 5 - packetTypePublicKey packetType = 6 - packetTypePrivateSubkey packetType = 7 - packetTypeCompressed packetType = 8 - packetTypeSymmetricallyEncrypted packetType = 9 - packetTypeLiteralData packetType = 11 - packetTypeUserId packetType = 13 - packetTypePublicSubkey packetType = 14 - packetTypeUserAttribute packetType = 17 - packetTypeSymmetricallyEncryptedMDC packetType = 18 - packetTypeAEADEncrypted packetType = 20 + packetTypeEncryptedKey packetType = 1 + packetTypeSignature packetType = 2 + packetTypeSymmetricKeyEncrypted packetType = 3 + packetTypeOnePassSignature packetType = 4 + packetTypePrivateKey packetType = 5 + packetTypePublicKey packetType = 6 + packetTypePrivateSubkey packetType = 7 + packetTypeCompressed packetType = 8 + packetTypeSymmetricallyEncrypted packetType = 9 + packetTypeLiteralData packetType = 11 + packetTypeUserId packetType = 13 + packetTypePublicSubkey packetType = 14 + packetTypeUserAttribute packetType = 17 + packetTypeSymmetricallyEncryptedIntegrityProtected packetType = 18 + packetTypeAEADEncrypted packetType = 20 ) // EncryptedDataPacket holds encrypted data. It is currently implemented by @@ -354,16 +354,16 @@ func Read(r io.Reader) (p Packet, err error) { case packetTypeCompressed: p = new(Compressed) case packetTypeSymmetricallyEncrypted: - err = errors.UnsupportedError("Symmetrically encrypted packets without MDC are not supported") + p = new(SymmetricallyEncrypted) case packetTypeLiteralData: p = new(LiteralData) case packetTypeUserId: p = new(UserId) case packetTypeUserAttribute: p = new(UserAttribute) - case packetTypeSymmetricallyEncryptedMDC: + case packetTypeSymmetricallyEncryptedIntegrityProtected: se := new(SymmetricallyEncrypted) - se.MDC = true + se.IntegrityProtected = true p = se case packetTypeAEADEncrypted: p = new(AEADEncrypted) @@ -455,6 +455,11 @@ func (cipher CipherFunction) KeySize() int { return algorithm.CipherFunction(cipher).KeySize() } +// IsSupported returns true if the cipher is supported from the library +func (cipher CipherFunction) IsSupported() bool { + return algorithm.CipherFunction(cipher).KeySize() > 0 +} + // blockSize returns the block size, in bytes, of cipher. func (cipher CipherFunction) blockSize() int { return algorithm.CipherFunction(cipher).BlockSize() @@ -490,15 +495,16 @@ const ( // AEADMode represents the different Authenticated Encryption with Associated // Data specified for OpenPGP. +// See https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-9.6 type AEADMode algorithm.AEADMode const ( - AEADModeEAX AEADMode = 1 - AEADModeOCB AEADMode = 2 - AEADModeExperimentalGCM AEADMode = 100 + AEADModeEAX AEADMode = 1 + AEADModeOCB AEADMode = 2 + AEADModeGCM AEADMode = 3 ) -func (mode AEADMode) NonceLength() int { +func (mode AEADMode) IvLength() int { return algorithm.AEADMode(mode).NonceLength() } @@ -521,3 +527,25 @@ const ( KeyCompromised ReasonForRevocation = 2 KeyRetired ReasonForRevocation = 3 ) + +// Curve is a mapping to supported ECC curves for key generation. +// See https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-06.html#name-curve-specific-wire-formats +type Curve string + +const ( + Curve25519 Curve = "Curve25519" + Curve448 Curve = "Curve448" + CurveNistP256 Curve = "P256" + CurveNistP384 Curve = "P384" + CurveNistP521 Curve = "P521" + CurveSecP256k1 Curve = "SecP256k1" + CurveBrainpoolP256 Curve = "BrainpoolP256" + CurveBrainpoolP384 Curve = "BrainpoolP384" + CurveBrainpoolP512 Curve = "BrainpoolP512" +) + +// TrustLevel represents a trust level per RFC4880 5.2.3.13 +type TrustLevel uint8 + +// TrustAmount represents a trust amount per RFC4880 5.2.3.13 +type TrustAmount uint8 diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/private_key.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/private_key.go index 854f9c4bbb..2898fa74c3 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/private_key.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/private_key.go @@ -9,27 +9,22 @@ import ( "crypto" "crypto/cipher" "crypto/dsa" - "crypto/ecdsa" - "crypto/elliptic" "crypto/rand" "crypto/rsa" "crypto/sha1" - "fmt" "io" "io/ioutil" "math/big" "strconv" "time" - "github.com/ProtonMail/go-crypto/openpgp/internal/ecc" - "golang.org/x/crypto/curve25519" - "github.com/ProtonMail/go-crypto/openpgp/ecdh" + "github.com/ProtonMail/go-crypto/openpgp/ecdsa" + "github.com/ProtonMail/go-crypto/openpgp/eddsa" "github.com/ProtonMail/go-crypto/openpgp/elgamal" "github.com/ProtonMail/go-crypto/openpgp/errors" "github.com/ProtonMail/go-crypto/openpgp/internal/encoding" "github.com/ProtonMail/go-crypto/openpgp/s2k" - "golang.org/x/crypto/ed25519" ) // PrivateKey represents a possibly encrypted private key. See RFC 4880, @@ -94,10 +89,9 @@ func NewECDSAPrivateKey(creationTime time.Time, priv *ecdsa.PrivateKey) *Private return pk } -func NewEdDSAPrivateKey(creationTime time.Time, priv *ed25519.PrivateKey) *PrivateKey { +func NewEdDSAPrivateKey(creationTime time.Time, priv *eddsa.PrivateKey) *PrivateKey { pk := new(PrivateKey) - pub := priv.Public().(ed25519.PublicKey) - pk.PublicKey = *NewEdDSAPublicKey(creationTime, &pub) + pk.PublicKey = *NewEdDSAPublicKey(creationTime, &priv.PublicKey) pk.PrivateKey = priv return pk } @@ -111,25 +105,25 @@ func NewECDHPrivateKey(creationTime time.Time, priv *ecdh.PrivateKey) *PrivateKe // NewSignerPrivateKey creates a PrivateKey from a crypto.Signer that // implements RSA, ECDSA or EdDSA. -func NewSignerPrivateKey(creationTime time.Time, signer crypto.Signer) *PrivateKey { +func NewSignerPrivateKey(creationTime time.Time, signer interface{}) *PrivateKey { pk := new(PrivateKey) // In general, the public Keys should be used as pointers. We still // type-switch on the values, for backwards-compatibility. - switch pubkey := signer.Public().(type) { - case *rsa.PublicKey: - pk.PublicKey = *NewRSAPublicKey(creationTime, pubkey) - case rsa.PublicKey: - pk.PublicKey = *NewRSAPublicKey(creationTime, &pubkey) - case *ecdsa.PublicKey: - pk.PublicKey = *NewECDSAPublicKey(creationTime, pubkey) - case ecdsa.PublicKey: - pk.PublicKey = *NewECDSAPublicKey(creationTime, &pubkey) - case *ed25519.PublicKey: - pk.PublicKey = *NewEdDSAPublicKey(creationTime, pubkey) - case ed25519.PublicKey: - pk.PublicKey = *NewEdDSAPublicKey(creationTime, &pubkey) + switch pubkey := signer.(type) { + case *rsa.PrivateKey: + pk.PublicKey = *NewRSAPublicKey(creationTime, &pubkey.PublicKey) + case rsa.PrivateKey: + pk.PublicKey = *NewRSAPublicKey(creationTime, &pubkey.PublicKey) + case *ecdsa.PrivateKey: + pk.PublicKey = *NewECDSAPublicKey(creationTime, &pubkey.PublicKey) + case ecdsa.PrivateKey: + pk.PublicKey = *NewECDSAPublicKey(creationTime, &pubkey.PublicKey) + case *eddsa.PrivateKey: + pk.PublicKey = *NewEdDSAPublicKey(creationTime, &pubkey.PublicKey) + case eddsa.PrivateKey: + pk.PublicKey = *NewEdDSAPublicKey(creationTime, &pubkey.PublicKey) default: - panic("openpgp: unknown crypto.Signer type in NewSignerPrivateKey") + panic("openpgp: unknown signer type in NewSignerPrivateKey") } pk.PrivateKey = signer return pk @@ -185,6 +179,9 @@ func (pk *PrivateKey) parse(r io.Reader) (err error) { return } pk.cipher = CipherFunction(buf[0]) + if pk.cipher != 0 && !pk.cipher.IsSupported() { + return errors.UnsupportedError("unsupported cipher function in private key") + } pk.s2kParams, err = s2k.ParseIntoParams(r) if err != nil { return @@ -239,6 +236,18 @@ func (pk *PrivateKey) parse(r io.Reader) (err error) { } } if !pk.Encrypted { + if len(privateKeyData) < 2 { + return errors.StructuralError("truncated private key data") + } + var sum uint16 + for i := 0; i < len(privateKeyData)-2; i++ { + sum += uint16(privateKeyData[i]) + } + if privateKeyData[len(privateKeyData)-2] != uint8(sum>>8) || + privateKeyData[len(privateKeyData)-1] != uint8(sum) { + return errors.StructuralError("private key checksum failure") + } + privateKeyData = privateKeyData[:len(privateKeyData)-2] return pk.parsePrivateKey(privateKeyData) } @@ -294,14 +303,8 @@ func (pk *PrivateKey) Serialize(w io.Writer) (err error) { return err } l = buf.Len() - if pk.sha1Checksum { - h := sha1.New() - h.Write(buf.Bytes()) - buf.Write(h.Sum(nil)) - } else { - checksum := mod64kHash(buf.Bytes()) - buf.Write([]byte{byte(checksum >> 8), byte(checksum)}) - } + checksum := mod64kHash(buf.Bytes()) + buf.Write([]byte{byte(checksum >> 8), byte(checksum)}) priv = buf.Bytes() } else { priv, l = pk.encryptedData, len(pk.encryptedData) @@ -353,18 +356,17 @@ func serializeElGamalPrivateKey(w io.Writer, priv *elgamal.PrivateKey) error { } func serializeECDSAPrivateKey(w io.Writer, priv *ecdsa.PrivateKey) error { - _, err := w.Write(new(encoding.MPI).SetBig(priv.D).EncodedBytes()) + _, err := w.Write(encoding.NewMPI(priv.MarshalIntegerSecret()).EncodedBytes()) return err } -func serializeEdDSAPrivateKey(w io.Writer, priv *ed25519.PrivateKey) error { - keySize := ed25519.PrivateKeySize - ed25519.PublicKeySize - _, err := w.Write(encoding.NewMPI((*priv)[:keySize]).EncodedBytes()) +func serializeEdDSAPrivateKey(w io.Writer, priv *eddsa.PrivateKey) error { + _, err := w.Write(encoding.NewMPI(priv.MarshalByteSecret()).EncodedBytes()) return err } func serializeECDHPrivateKey(w io.Writer, priv *ecdh.PrivateKey) error { - _, err := w.Write(encoding.NewMPI(priv.D).EncodedBytes()) + _, err := w.Write(encoding.NewMPI(priv.MarshalByteSecret()).EncodedBytes()) return err } @@ -497,7 +499,7 @@ func (pk *PrivateKey) serializePrivateKey(w io.Writer) (err error) { err = serializeElGamalPrivateKey(w, priv) case *ecdsa.PrivateKey: err = serializeECDSAPrivateKey(w, priv) - case *ed25519.PrivateKey: + case *eddsa.PrivateKey: err = serializeEdDSAPrivateKey(w, priv) case *ecdh.PrivateKey: err = serializeECDHPrivateKey(w, priv) @@ -601,8 +603,7 @@ func (pk *PrivateKey) parseElGamalPrivateKey(data []byte) (err error) { func (pk *PrivateKey) parseECDSAPrivateKey(data []byte) (err error) { ecdsaPub := pk.PublicKey.PublicKey.(*ecdsa.PublicKey) - ecdsaPriv := new(ecdsa.PrivateKey) - ecdsaPriv.PublicKey = *ecdsaPub + ecdsaPriv := ecdsa.NewPrivateKey(*ecdsaPub) buf := bytes.NewBuffer(data) d := new(encoding.MPI) @@ -610,8 +611,10 @@ func (pk *PrivateKey) parseECDSAPrivateKey(data []byte) (err error) { return err } - ecdsaPriv.D = new(big.Int).SetBytes(d.Bytes()) - if err := validateECDSAParameters(ecdsaPriv); err != nil { + if err := ecdsaPriv.UnmarshalIntegerSecret(d.Bytes()); err != nil { + return err + } + if err := ecdsa.Validate(ecdsaPriv); err != nil { return err } pk.PrivateKey = ecdsaPriv @@ -621,8 +624,7 @@ func (pk *PrivateKey) parseECDSAPrivateKey(data []byte) (err error) { func (pk *PrivateKey) parseECDHPrivateKey(data []byte) (err error) { ecdhPub := pk.PublicKey.PublicKey.(*ecdh.PublicKey) - ecdhPriv := new(ecdh.PrivateKey) - ecdhPriv.PublicKey = *ecdhPub + ecdhPriv := ecdh.NewPrivateKey(*ecdhPub) buf := bytes.NewBuffer(data) d := new(encoding.MPI) @@ -630,18 +632,23 @@ func (pk *PrivateKey) parseECDHPrivateKey(data []byte) (err error) { return err } - ecdhPriv.D = d.Bytes() - if err := validateECDHParameters(ecdhPriv); err != nil { + if err := ecdhPriv.UnmarshalByteSecret(d.Bytes()); err != nil { + return err + } + + if err := ecdh.Validate(ecdhPriv); err != nil { return err } + pk.PrivateKey = ecdhPriv return nil } func (pk *PrivateKey) parseEdDSAPrivateKey(data []byte) (err error) { - eddsaPub := pk.PublicKey.PublicKey.(*ed25519.PublicKey) - eddsaPriv := make(ed25519.PrivateKey, ed25519.PrivateKeySize) + eddsaPub := pk.PublicKey.PublicKey.(*eddsa.PublicKey) + eddsaPriv := eddsa.NewPrivateKey(*eddsaPub) + eddsaPriv.PublicKey = *eddsaPub buf := bytes.NewBuffer(data) d := new(encoding.MPI) @@ -649,64 +656,16 @@ func (pk *PrivateKey) parseEdDSAPrivateKey(data []byte) (err error) { return err } - priv := d.Bytes() - copy(eddsaPriv[32-len(priv):32], priv) - copy(eddsaPriv[32:], (*eddsaPub)[:]) - if err := validateEdDSAParameters(&eddsaPriv); err != nil { + if err = eddsaPriv.UnmarshalByteSecret(d.Bytes()); err != nil { return err } - pk.PrivateKey = &eddsaPriv - - return nil -} -func validateECDSAParameters(priv *ecdsa.PrivateKey) error { - return validateCommonECC(priv.Curve, priv.D.Bytes(), priv.X, priv.Y) -} - -func validateECDHParameters(priv *ecdh.PrivateKey) error { - if priv.CurveType != ecc.Curve25519 { - return validateCommonECC(priv.Curve, priv.D, priv.X, priv.Y) - } - // Handle Curve25519 - Q := priv.X.Bytes()[1:] - var d [32]byte - // Copy reversed d - l := len(priv.D) - for i := 0; i < l; i++ { - d[i] = priv.D[l-i-1] - } - var expectedQ [32]byte - curve25519.ScalarBaseMult(&expectedQ, &d) - if !bytes.Equal(Q, expectedQ[:]) { - return errors.KeyInvalidError("ECDH curve25519: invalid point") + if err := eddsa.Validate(eddsaPriv); err != nil { + return err } - return nil -} -func validateCommonECC(curve elliptic.Curve, d []byte, X, Y *big.Int) error { - // the public point should not be at infinity (0,0) - zero := new(big.Int) - if X.Cmp(zero) == 0 && Y.Cmp(zero) == 0 { - return errors.KeyInvalidError(fmt.Sprintf("ecc (%s): infinity point", curve.Params().Name)) - } - // re-derive the public point Q' = (X,Y) = dG - // to compare to declared Q in public key - expectedX, expectedY := curve.ScalarBaseMult(d) - if X.Cmp(expectedX) != 0 || Y.Cmp(expectedY) != 0 { - return errors.KeyInvalidError(fmt.Sprintf("ecc (%s): invalid point", curve.Params().Name)) - } - return nil -} + pk.PrivateKey = eddsaPriv -func validateEdDSAParameters(priv *ed25519.PrivateKey) error { - // In EdDSA, the serialized public point is stored as part of private key (together with the seed), - // hence we can re-derive the key from the seed - seed := priv.Seed() - expectedPriv := ed25519.NewKeyFromSeed(seed) - if !bytes.Equal(*priv, expectedPriv) { - return errors.KeyInvalidError("eddsa: invalid point") - } return nil } diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/public_key.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/public_key.go index 297dc40ba8..e0f5f74a93 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/public_key.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/public_key.go @@ -7,8 +7,6 @@ package packet import ( "crypto" "crypto/dsa" - "crypto/ecdsa" - "crypto/elliptic" "crypto/rsa" "crypto/sha1" "crypto/sha256" @@ -22,12 +20,13 @@ import ( "time" "github.com/ProtonMail/go-crypto/openpgp/ecdh" + "github.com/ProtonMail/go-crypto/openpgp/ecdsa" + "github.com/ProtonMail/go-crypto/openpgp/eddsa" "github.com/ProtonMail/go-crypto/openpgp/elgamal" "github.com/ProtonMail/go-crypto/openpgp/errors" "github.com/ProtonMail/go-crypto/openpgp/internal/algorithm" "github.com/ProtonMail/go-crypto/openpgp/internal/ecc" "github.com/ProtonMail/go-crypto/openpgp/internal/encoding" - "golang.org/x/crypto/ed25519" ) type kdfHashFunction byte @@ -124,10 +123,10 @@ func NewECDSAPublicKey(creationTime time.Time, pub *ecdsa.PublicKey) *PublicKey CreationTime: creationTime, PubKeyAlgo: PubKeyAlgoECDSA, PublicKey: pub, - p: encoding.NewMPI(elliptic.Marshal(pub.Curve, pub.X, pub.Y)), + p: encoding.NewMPI(pub.MarshalPoint()), } - curveInfo := ecc.FindByCurve(pub.Curve) + curveInfo := ecc.FindByCurve(pub.GetCurve()) if curveInfo == nil { panic("unknown elliptic curve") } @@ -138,39 +137,29 @@ func NewECDSAPublicKey(creationTime time.Time, pub *ecdsa.PublicKey) *PublicKey func NewECDHPublicKey(creationTime time.Time, pub *ecdh.PublicKey) *PublicKey { var pk *PublicKey - var curveInfo *ecc.CurveInfo var kdf = encoding.NewOID([]byte{0x1, pub.Hash.Id(), pub.Cipher.Id()}) - if pub.CurveType == ecc.Curve25519 { - pk = &PublicKey{ - Version: 4, - CreationTime: creationTime, - PubKeyAlgo: PubKeyAlgoECDH, - PublicKey: pub, - p: encoding.NewMPI(pub.X.Bytes()), - kdf: kdf, - } - curveInfo = ecc.FindByName("Curve25519") - } else { - pk = &PublicKey{ - Version: 4, - CreationTime: creationTime, - PubKeyAlgo: PubKeyAlgoECDH, - PublicKey: pub, - p: encoding.NewMPI(elliptic.Marshal(pub.Curve, pub.X, pub.Y)), - kdf: kdf, - } - curveInfo = ecc.FindByCurve(pub.Curve) + pk = &PublicKey{ + Version: 4, + CreationTime: creationTime, + PubKeyAlgo: PubKeyAlgoECDH, + PublicKey: pub, + p: encoding.NewMPI(pub.MarshalPoint()), + kdf: kdf, } + + curveInfo := ecc.FindByCurve(pub.GetCurve()) + if curveInfo == nil { panic("unknown elliptic curve") } + pk.oid = curveInfo.Oid pk.setFingerprintAndKeyId() return pk } -func NewEdDSAPublicKey(creationTime time.Time, pub *ed25519.PublicKey) *PublicKey { - curveInfo := ecc.FindByName("Ed25519") +func NewEdDSAPublicKey(creationTime time.Time, pub *eddsa.PublicKey) *PublicKey { + curveInfo := ecc.FindByCurve(pub.GetCurve()) pk := &PublicKey{ Version: 4, CreationTime: creationTime, @@ -178,7 +167,7 @@ func NewEdDSAPublicKey(creationTime time.Time, pub *ed25519.PublicKey) *PublicKe PublicKey: pub, oid: curveInfo.Oid, // Native point format, see draft-koch-eddsa-for-openpgp-04, Appendix B - p: encoding.NewMPI(append([]byte{0x40}, *pub...)), + p: encoding.NewMPI(pub.MarshalPoint()), } pk.setFingerprintAndKeyId() @@ -340,17 +329,20 @@ func (pk *PublicKey) parseECDSA(r io.Reader) (err error) { return } - var c elliptic.Curve curveInfo := ecc.FindByOid(pk.oid) - if curveInfo == nil || curveInfo.SigAlgorithm != ecc.ECDSA { - return errors.UnsupportedError(fmt.Sprintf("unsupported oid: %x", pk.oid)) + if curveInfo == nil { + return errors.UnsupportedError(fmt.Sprintf("unknown oid: %x", pk.oid)) } - c = curveInfo.Curve - x, y := elliptic.Unmarshal(c, pk.p.Bytes()) - if x == nil { - return errors.UnsupportedError("failed to parse EC point") + + c, ok := curveInfo.Curve.(ecc.ECDSACurve) + if !ok { + return errors.UnsupportedError(fmt.Sprintf("unsupported oid: %x", pk.oid)) } - pk.PublicKey = &ecdsa.PublicKey{Curve: c, X: x, Y: y} + + ecdsaKey := ecdsa.NewPublicKey(c) + err = ecdsaKey.UnmarshalPoint(pk.p.Bytes()) + pk.PublicKey = ecdsaKey + return } @@ -371,22 +363,14 @@ func (pk *PublicKey) parseECDH(r io.Reader) (err error) { } curveInfo := ecc.FindByOid(pk.oid) + if curveInfo == nil { - return errors.UnsupportedError(fmt.Sprintf("unsupported oid: %x", pk.oid)) + return errors.UnsupportedError(fmt.Sprintf("unknown oid: %x", pk.oid)) } - c := curveInfo.Curve - cType := curveInfo.CurveType - - var x, y *big.Int - if cType == ecc.Curve25519 { - x = new(big.Int) - x.SetBytes(pk.p.Bytes()) - } else { - x, y = elliptic.Unmarshal(c, pk.p.Bytes()) - } - if x == nil { - return errors.UnsupportedError("failed to parse EC point") + c, ok := curveInfo.Curve.(ecc.ECDHCurve) + if !ok { + return errors.UnsupportedError(fmt.Sprintf("unsupported oid: %x", pk.oid)) } if kdfLen := len(pk.kdf.Bytes()); kdfLen < 3 { @@ -404,16 +388,10 @@ func (pk *PublicKey) parseECDH(r io.Reader) (err error) { return errors.UnsupportedError("unsupported ECDH KDF cipher: " + strconv.Itoa(int(pk.kdf.Bytes()[2]))) } - pk.PublicKey = &ecdh.PublicKey{ - CurveType: cType, - Curve: c, - X: x, - Y: y, - KDF: ecdh.KDF{ - Hash: kdfHash, - Cipher: kdfCipher, - }, - } + ecdhKey := ecdh.NewPublicKey(c, kdfHash, kdfCipher) + err = ecdhKey.UnmarshalPoint(pk.p.Bytes()) + pk.PublicKey = ecdhKey + return } @@ -423,26 +401,33 @@ func (pk *PublicKey) parseEdDSA(r io.Reader) (err error) { return } curveInfo := ecc.FindByOid(pk.oid) - if curveInfo == nil || curveInfo.SigAlgorithm != ecc.EdDSA { + if curveInfo == nil { + return errors.UnsupportedError(fmt.Sprintf("unknown oid: %x", pk.oid)) + } + + c, ok := curveInfo.Curve.(ecc.EdDSACurve) + if !ok { return errors.UnsupportedError(fmt.Sprintf("unsupported oid: %x", pk.oid)) } + pk.p = new(encoding.MPI) if _, err = pk.p.ReadFrom(r); err != nil { return } - eddsa := make(ed25519.PublicKey, ed25519.PublicKeySize) + pub := eddsa.NewPublicKey(c) + switch flag := pk.p.Bytes()[0]; flag { case 0x04: // TODO: see _grcy_ecc_eddsa_ensure_compact in grcypt return errors.UnsupportedError("unsupported EdDSA compression: " + strconv.Itoa(int(flag))) case 0x40: - copy(eddsa[:], pk.p.Bytes()[1:]) + err = pub.UnmarshalPoint(pk.p.Bytes()) default: return errors.UnsupportedError("unsupported EdDSA compression: " + strconv.Itoa(int(flag))) } - pk.PublicKey = &eddsa + pk.PublicKey = pub return } @@ -645,16 +630,8 @@ func (pk *PublicKey) VerifySignature(signed hash.Hash, sig *Signature) (err erro } return nil case PubKeyAlgoEdDSA: - eddsaPublicKey := pk.PublicKey.(*ed25519.PublicKey) - - sigR := sig.EdDSASigR.Bytes() - sigS := sig.EdDSASigS.Bytes() - - eddsaSig := make([]byte, ed25519.SignatureSize) - copy(eddsaSig[32-len(sigR):32], sigR) - copy(eddsaSig[64-len(sigS):], sigS) - - if !ed25519.Verify(*eddsaPublicKey, hashBytes, eddsaSig) { + eddsaPublicKey := pk.PublicKey.(*eddsa.PublicKey) + if !eddsa.Verify(eddsaPublicKey, hashBytes, sig.EdDSASigR.Bytes(), sig.EdDSASigS.Bytes()) { return errors.SignatureError("EdDSA verification failure") } return nil diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/reader.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/reader.go index 94ae9ad9ac..10215fe5f2 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/reader.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/reader.go @@ -44,9 +44,17 @@ func (r *Reader) Next() (p Packet, err error) { continue } // TODO: Add strict mode that rejects unknown packets, instead of ignoring them. - if _, ok := err.(errors.UnknownPacketTypeError); !ok { - return nil, err + if _, ok := err.(errors.UnknownPacketTypeError); ok { + continue + } + if _, ok := err.(errors.UnsupportedError); ok { + switch p.(type) { + case *SymmetricallyEncrypted, *AEADEncrypted, *Compressed, *LiteralData: + return nil, err + } + continue } + return nil, err } return nil, io.EOF diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/signature.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/signature.go index 6765ea758c..9f0b1b1978 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/signature.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/signature.go @@ -8,18 +8,17 @@ import ( "bytes" "crypto" "crypto/dsa" - "crypto/ecdsa" - "encoding/asn1" "encoding/binary" "hash" "io" - "math/big" "strconv" "time" + "github.com/ProtonMail/go-crypto/openpgp/ecdsa" + "github.com/ProtonMail/go-crypto/openpgp/eddsa" "github.com/ProtonMail/go-crypto/openpgp/errors" + "github.com/ProtonMail/go-crypto/openpgp/internal/algorithm" "github.com/ProtonMail/go-crypto/openpgp/internal/encoding" - "github.com/ProtonMail/go-crypto/openpgp/s2k" ) const ( @@ -28,6 +27,10 @@ const ( KeyFlagSign KeyFlagEncryptCommunications KeyFlagEncryptStorage + KeyFlagSplitKey + KeyFlagAuthenticate + _ + KeyFlagGroupKey ) // Signature represents a signature. See RFC 4880, section 5.2. @@ -63,10 +66,24 @@ type Signature struct { SigLifetimeSecs, KeyLifetimeSecs *uint32 PreferredSymmetric, PreferredHash, PreferredCompression []uint8 - PreferredAEAD []uint8 + PreferredCipherSuites [][2]uint8 IssuerKeyId *uint64 IssuerFingerprint []byte + SignerUserId *string IsPrimaryId *bool + Notations []*Notation + + // TrustLevel and TrustAmount can be set by the signer to assert that + // the key is not only valid but also trustworthy at the specified + // level. + // See RFC 4880, section 5.2.3.13 for details. + TrustLevel TrustLevel + TrustAmount TrustAmount + + // TrustRegularExpression can be used in conjunction with trust Signature + // packets to limit the scope of the trust that is extended. + // See RFC 4880, section 5.2.3.14 for details. + TrustRegularExpression *string // PolicyURI can be set to the URI of a document that describes the // policy under which the signature was issued. See RFC 4880, section @@ -75,8 +92,8 @@ type Signature struct { // FlagsValid is set if any flags were given. See RFC 4880, section // 5.2.3.21 for details. - FlagsValid bool - FlagCertify, FlagSign, FlagEncryptCommunications, FlagEncryptStorage bool + FlagsValid bool + FlagCertify, FlagSign, FlagEncryptCommunications, FlagEncryptStorage, FlagSplitKey, FlagAuthenticate, FlagGroupKey bool // RevocationReason is set if this signature has been revoked. // See RFC 4880, section 5.2.3.23 for details. @@ -85,8 +102,8 @@ type Signature struct { // In a self-signature, these flags are set there is a features subpacket // indicating that the issuer implementation supports these features - // (section 5.2.5.25). - MDC, AEAD, V5Keys bool + // see https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh#features-subpacket + SEIPDv1, SEIPDv2 bool // EmbeddedSignature, if non-nil, is a signature of the parent key, by // this key. This prevents an attacker from claiming another's signing @@ -122,7 +139,13 @@ func (sig *Signature) parse(r io.Reader) (err error) { } var ok bool - sig.Hash, ok = s2k.HashIdToHash(buf[2]) + + if sig.Version < 5 { + sig.Hash, ok = algorithm.HashIdToHashWithSha1(buf[2]) + } else { + sig.Hash, ok = algorithm.HashIdToHash(buf[2]) + } + if !ok { return errors.UnsupportedError("hash function " + strconv.Itoa(int(buf[2]))) } @@ -133,7 +156,11 @@ func (sig *Signature) parse(r io.Reader) (err error) { if err != nil { return } - sig.buildHashSuffix(hashedSubpackets) + err = sig.buildHashSuffix(hashedSubpackets) + if err != nil { + return + } + err = parseSignatureSubpackets(sig, hashedSubpackets, true) if err != nil { return @@ -217,19 +244,23 @@ type signatureSubpacketType uint8 const ( creationTimeSubpacket signatureSubpacketType = 2 signatureExpirationSubpacket signatureSubpacketType = 3 + trustSubpacket signatureSubpacketType = 5 + regularExpressionSubpacket signatureSubpacketType = 6 keyExpirationSubpacket signatureSubpacketType = 9 prefSymmetricAlgosSubpacket signatureSubpacketType = 11 issuerSubpacket signatureSubpacketType = 16 + notationDataSubpacket signatureSubpacketType = 20 prefHashAlgosSubpacket signatureSubpacketType = 21 prefCompressionSubpacket signatureSubpacketType = 22 primaryUserIdSubpacket signatureSubpacketType = 25 policyUriSubpacket signatureSubpacketType = 26 keyFlagsSubpacket signatureSubpacketType = 27 + signerUserIdSubpacket signatureSubpacketType = 28 reasonForRevocationSubpacket signatureSubpacketType = 29 featuresSubpacket signatureSubpacketType = 30 embeddedSignatureSubpacket signatureSubpacketType = 32 issuerFingerprintSubpacket signatureSubpacketType = 33 - prefAeadAlgosSubpacket signatureSubpacketType = 34 + prefCipherSuitesSubpacket signatureSubpacketType = 39 ) // parseSignatureSubpacket parses a single subpacket. len(subpacket) is >= 1. @@ -273,12 +304,14 @@ func parseSignatureSubpacket(sig *Signature, subpacket []byte, isHashed bool) (r isCritical = subpacket[0]&0x80 == 0x80 subpacket = subpacket[1:] sig.rawSubpackets = append(sig.rawSubpackets, outputSubpacket{isHashed, packetType, isCritical, subpacket}) + if !isHashed && + packetType != issuerSubpacket && + packetType != issuerFingerprintSubpacket && + packetType != embeddedSignatureSubpacket { + return + } switch packetType { case creationTimeSubpacket: - if !isHashed { - err = errors.StructuralError("signature creation time in non-hashed area") - return - } if len(subpacket) != 4 { err = errors.StructuralError("signature creation time not four bytes") return @@ -287,20 +320,27 @@ func parseSignatureSubpacket(sig *Signature, subpacket []byte, isHashed bool) (r sig.CreationTime = time.Unix(int64(t), 0) case signatureExpirationSubpacket: // Signature expiration time, section 5.2.3.10 - if !isHashed { - return - } if len(subpacket) != 4 { err = errors.StructuralError("expiration subpacket with bad length") return } sig.SigLifetimeSecs = new(uint32) *sig.SigLifetimeSecs = binary.BigEndian.Uint32(subpacket) - case keyExpirationSubpacket: - // Key expiration time, section 5.2.3.6 - if !isHashed { + case trustSubpacket: + // Trust level and amount, section 5.2.3.13 + sig.TrustLevel = TrustLevel(subpacket[0]) + sig.TrustAmount = TrustAmount(subpacket[1]) + case regularExpressionSubpacket: + // Trust regular expression, section 5.2.3.14 + // RFC specifies the string should be null-terminated; remove a null byte from the end + if subpacket[len(subpacket)-1] != 0x00 { + err = errors.StructuralError("expected regular expression to be null-terminated") return } + trustRegularExpression := string(subpacket[:len(subpacket)-1]) + sig.TrustRegularExpression = &trustRegularExpression + case keyExpirationSubpacket: + // Key expiration time, section 5.2.3.6 if len(subpacket) != 4 { err = errors.StructuralError("key expiration subpacket with bad length") return @@ -309,41 +349,52 @@ func parseSignatureSubpacket(sig *Signature, subpacket []byte, isHashed bool) (r *sig.KeyLifetimeSecs = binary.BigEndian.Uint32(subpacket) case prefSymmetricAlgosSubpacket: // Preferred symmetric algorithms, section 5.2.3.7 - if !isHashed { - return - } sig.PreferredSymmetric = make([]byte, len(subpacket)) copy(sig.PreferredSymmetric, subpacket) case issuerSubpacket: + // Issuer, section 5.2.3.5 if sig.Version > 4 { err = errors.StructuralError("issuer subpacket found in v5 key") + return } - // Issuer, section 5.2.3.5 if len(subpacket) != 8 { err = errors.StructuralError("issuer subpacket with bad length") return } sig.IssuerKeyId = new(uint64) *sig.IssuerKeyId = binary.BigEndian.Uint64(subpacket) - case prefHashAlgosSubpacket: - // Preferred hash algorithms, section 5.2.3.8 - if !isHashed { + case notationDataSubpacket: + // Notation data, section 5.2.3.16 + if len(subpacket) < 8 { + err = errors.StructuralError("notation data subpacket with bad length") + return + } + + nameLength := uint32(subpacket[4])<<8 | uint32(subpacket[5]) + valueLength := uint32(subpacket[6])<<8 | uint32(subpacket[7]) + if len(subpacket) != int(nameLength) + int(valueLength) + 8 { + err = errors.StructuralError("notation data subpacket with bad length") return } + + notation := Notation{ + IsHumanReadable: (subpacket[0] & 0x80) == 0x80, + Name: string(subpacket[8: (nameLength + 8)]), + Value: subpacket[(nameLength + 8) : (valueLength + nameLength + 8)], + IsCritical: isCritical, + } + + sig.Notations = append(sig.Notations, ¬ation) + case prefHashAlgosSubpacket: + // Preferred hash algorithms, section 5.2.3.8 sig.PreferredHash = make([]byte, len(subpacket)) copy(sig.PreferredHash, subpacket) case prefCompressionSubpacket: // Preferred compression algorithms, section 5.2.3.9 - if !isHashed { - return - } sig.PreferredCompression = make([]byte, len(subpacket)) copy(sig.PreferredCompression, subpacket) case primaryUserIdSubpacket: // Primary User ID, section 5.2.3.19 - if !isHashed { - return - } if len(subpacket) != 1 { err = errors.StructuralError("primary user id subpacket with bad length") return @@ -354,9 +405,6 @@ func parseSignatureSubpacket(sig *Signature, subpacket []byte, isHashed bool) (r } case keyFlagsSubpacket: // Key flags, section 5.2.3.21 - if !isHashed { - return - } if len(subpacket) == 0 { err = errors.StructuralError("empty key flags subpacket") return @@ -374,11 +422,20 @@ func parseSignatureSubpacket(sig *Signature, subpacket []byte, isHashed bool) (r if subpacket[0]&KeyFlagEncryptStorage != 0 { sig.FlagEncryptStorage = true } + if subpacket[0]&KeyFlagSplitKey != 0 { + sig.FlagSplitKey = true + } + if subpacket[0]&KeyFlagAuthenticate != 0 { + sig.FlagAuthenticate = true + } + if subpacket[0]&KeyFlagGroupKey != 0 { + sig.FlagGroupKey = true + } + case signerUserIdSubpacket: + userId := string(subpacket) + sig.SignerUserId = &userId case reasonForRevocationSubpacket: // Reason For Revocation, section 5.2.3.23 - if !isHashed { - return - } if len(subpacket) == 0 { err = errors.StructuralError("empty revocation reason subpacket") return @@ -390,18 +447,13 @@ func parseSignatureSubpacket(sig *Signature, subpacket []byte, isHashed bool) (r // Features subpacket, section 5.2.3.24 specifies a very general // mechanism for OpenPGP implementations to signal support for new // features. - if !isHashed { - return - } if len(subpacket) > 0 { if subpacket[0]&0x01 != 0 { - sig.MDC = true - } - if subpacket[0]&0x02 != 0 { - sig.AEAD = true + sig.SEIPDv1 = true } - if subpacket[0]&0x04 != 0 { - sig.V5Keys = true + // 0x02 and 0x04 are reserved + if subpacket[0]&0x08 != 0 { + sig.SEIPDv2 = true } } case embeddedSignatureSubpacket: @@ -424,9 +476,6 @@ func parseSignatureSubpacket(sig *Signature, subpacket []byte, isHashed bool) (r } case policyUriSubpacket: // Policy URI, section 5.2.3.20 - if !isHashed { - return - } sig.PolicyURI = string(subpacket) case issuerFingerprintSubpacket: v, l := subpacket[0], len(subpacket[1:]) @@ -441,13 +490,19 @@ func parseSignatureSubpacket(sig *Signature, subpacket []byte, isHashed bool) (r } else { *sig.IssuerKeyId = binary.BigEndian.Uint64(subpacket[13:21]) } - case prefAeadAlgosSubpacket: - // Preferred symmetric algorithms, section 5.2.3.8 - if !isHashed { + case prefCipherSuitesSubpacket: + // Preferred AEAD cipher suites + // See https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#name-preferred-aead-ciphersuites + if len(subpacket) % 2 != 0 { + err = errors.StructuralError("invalid aead cipher suite length") return } - sig.PreferredAEAD = make([]byte, len(subpacket)) - copy(sig.PreferredAEAD, subpacket) + + sig.PreferredCipherSuites = make([][2]byte, len(subpacket) / 2) + + for i := 0; i < len(subpacket) / 2; i++ { + sig.PreferredCipherSuites[i] = [2]uint8{subpacket[2*i], subpacket[2*i+1]} + } default: if isCritical { err = errors.UnsupportedError("unknown critical signature subpacket type " + strconv.Itoa(int(packetType))) @@ -545,7 +600,15 @@ func (sig *Signature) SigExpired(currentTime time.Time) bool { // buildHashSuffix constructs the HashSuffix member of sig in preparation for signing. func (sig *Signature) buildHashSuffix(hashedSubpackets []byte) (err error) { - hash, ok := s2k.HashToHashId(sig.Hash) + var hashId byte + var ok bool + + if sig.Version < 5 { + hashId, ok = algorithm.HashToHashIdWithSha1(sig.Hash) + } else { + hashId, ok = algorithm.HashToHashId(sig.Hash) + } + if !ok { sig.HashSuffix = nil return errors.InvalidArgumentError("hash cannot be represented in OpenPGP: " + strconv.Itoa(int(sig.Hash))) @@ -555,7 +618,7 @@ func (sig *Signature) buildHashSuffix(hashedSubpackets []byte) (err error) { uint8(sig.Version), uint8(sig.SigType), uint8(sig.PubKeyAlgo), - uint8(hash), + uint8(hashId), uint8(len(hashedSubpackets) >> 8), uint8(len(hashedSubpackets)), }) @@ -636,26 +699,19 @@ func (sig *Signature) Sign(h hash.Hash, priv *PrivateKey, config *Config) (err e sig.DSASigS = new(encoding.MPI).SetBig(s) } case PubKeyAlgoECDSA: - var r, s *big.Int - if pk, ok := priv.PrivateKey.(*ecdsa.PrivateKey); ok { - // direct support, avoid asn1 wrapping/unwrapping - r, s, err = ecdsa.Sign(config.Random(), pk, digest) - } else { - var b []byte - b, err = priv.PrivateKey.(crypto.Signer).Sign(config.Random(), digest, sig.Hash) - if err == nil { - r, s, err = unwrapECDSASig(b) - } - } + sk := priv.PrivateKey.(*ecdsa.PrivateKey) + r, s, err := ecdsa.Sign(config.Random(), sk, digest) + if err == nil { sig.ECDSASigR = new(encoding.MPI).SetBig(r) sig.ECDSASigS = new(encoding.MPI).SetBig(s) } case PubKeyAlgoEdDSA: - sigdata, err := priv.PrivateKey.(crypto.Signer).Sign(config.Random(), digest, crypto.Hash(0)) + sk := priv.PrivateKey.(*eddsa.PrivateKey) + r, s, err := eddsa.Sign(sk, digest) if err == nil { - sig.EdDSASigR = encoding.NewMPI(sigdata[:32]) - sig.EdDSASigS = encoding.NewMPI(sigdata[32:]) + sig.EdDSASigR = encoding.NewMPI(r) + sig.EdDSASigS = encoding.NewMPI(s) } default: err = errors.UnsupportedError("public key algorithm: " + strconv.Itoa(int(sig.PubKeyAlgo))) @@ -664,19 +720,6 @@ func (sig *Signature) Sign(h hash.Hash, priv *PrivateKey, config *Config) (err e return } -// unwrapECDSASig parses the two integer components of an ASN.1-encoded ECDSA -// signature. -func unwrapECDSASig(b []byte) (r, s *big.Int, err error) { - var ecsdaSig struct { - R, S *big.Int - } - _, err = asn1.Unmarshal(b, &ecsdaSig) - if err != nil { - return - } - return ecsdaSig.R, ecsdaSig.S, nil -} - // SignUserId computes a signature from priv, asserting that pub is a valid // key for the identity id. On success, the signature is stored in sig. Call // Serialize to write it out. @@ -851,6 +894,9 @@ func (sig *Signature) buildSubpackets(issuer PublicKey) (subpackets []outputSubp contents := append([]uint8{uint8(issuer.Version)}, sig.IssuerFingerprint...) subpackets = append(subpackets, outputSubpacket{true, issuerFingerprintSubpacket, sig.Version == 5, contents}) } + if sig.SignerUserId != nil { + subpackets = append(subpackets, outputSubpacket{true, signerUserIdSubpacket, false, []byte(*sig.SignerUserId)}) + } if sig.SigLifetimeSecs != nil && *sig.SigLifetimeSecs != 0 { sigLifetime := make([]byte, 4) binary.BigEndian.PutUint32(sigLifetime, *sig.SigLifetimeSecs) @@ -873,26 +919,52 @@ func (sig *Signature) buildSubpackets(issuer PublicKey) (subpackets []outputSubp if sig.FlagEncryptStorage { flags |= KeyFlagEncryptStorage } + if sig.FlagSplitKey { + flags |= KeyFlagSplitKey + } + if sig.FlagAuthenticate { + flags |= KeyFlagAuthenticate + } + if sig.FlagGroupKey { + flags |= KeyFlagGroupKey + } subpackets = append(subpackets, outputSubpacket{true, keyFlagsSubpacket, false, []byte{flags}}) } + for _, notation := range sig.Notations { + subpackets = append( + subpackets, + outputSubpacket{ + true, + notationDataSubpacket, + notation.IsCritical, + notation.getData(), + }) + } + // The following subpackets may only appear in self-signatures. var features = byte(0x00) - if sig.MDC { + if sig.SEIPDv1 { features |= 0x01 } - if sig.AEAD { - features |= 0x02 - } - if sig.V5Keys { - features |= 0x04 + if sig.SEIPDv2 { + features |= 0x08 } if features != 0x00 { subpackets = append(subpackets, outputSubpacket{true, featuresSubpacket, false, []byte{features}}) } + if sig.TrustLevel != 0 { + subpackets = append(subpackets, outputSubpacket{true, trustSubpacket, true, []byte{byte(sig.TrustLevel), byte(sig.TrustAmount)}}) + } + + if sig.TrustRegularExpression != nil { + // RFC specifies the string should be null-terminated; add a null byte to the end + subpackets = append(subpackets, outputSubpacket{true, regularExpressionSubpacket, true, []byte(*sig.TrustRegularExpression + "\000")}) + } + if sig.KeyLifetimeSecs != nil && *sig.KeyLifetimeSecs != 0 { keyLifetime := make([]byte, 4) binary.BigEndian.PutUint32(keyLifetime, *sig.KeyLifetimeSecs) @@ -919,8 +991,13 @@ func (sig *Signature) buildSubpackets(issuer PublicKey) (subpackets []outputSubp subpackets = append(subpackets, outputSubpacket{true, policyUriSubpacket, false, []uint8(sig.PolicyURI)}) } - if len(sig.PreferredAEAD) > 0 { - subpackets = append(subpackets, outputSubpacket{true, prefAeadAlgosSubpacket, false, sig.PreferredAEAD}) + if len(sig.PreferredCipherSuites) > 0 { + serialized := make([]byte, len(sig.PreferredCipherSuites)*2) + for i, cipherSuite := range sig.PreferredCipherSuites { + serialized[2*i] = cipherSuite[0] + serialized[2*i+1] = cipherSuite[1] + } + subpackets = append(subpackets, outputSubpacket{true, prefCipherSuitesSubpacket, false, serialized}) } // Revocation reason appears only in revocation signatures and is serialized as per section 5.2.3.23. @@ -962,7 +1039,7 @@ func (sig *Signature) AddMetadataToHashSuffix() { n := sig.HashSuffix[len(sig.HashSuffix)-8:] l := uint64( uint64(n[0])<<56 | uint64(n[1])<<48 | uint64(n[2])<<40 | uint64(n[3])<<32 | - uint64(n[4])<<24 | uint64(n[5])<<16 | uint64(n[6])<<8 | uint64(n[7])) + uint64(n[4])<<24 | uint64(n[5])<<16 | uint64(n[6])<<8 | uint64(n[7])) suffix := bytes.NewBuffer(nil) suffix.Write(sig.HashSuffix[:l]) diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetric_key_encrypted.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetric_key_encrypted.go index 0e9f51d51b..bc2caf0e8b 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetric_key_encrypted.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetric_key_encrypted.go @@ -7,15 +7,17 @@ package packet import ( "bytes" "crypto/cipher" + "crypto/sha256" "io" "strconv" "github.com/ProtonMail/go-crypto/openpgp/errors" "github.com/ProtonMail/go-crypto/openpgp/s2k" + "golang.org/x/crypto/hkdf" ) -// This is the largest session key that we'll support. Since no 512-bit cipher -// has even been seriously used, this is comfortably large. +// This is the largest session key that we'll support. Since at most 256-bit cipher +// is supported in OpenPGP, this is large enough to contain also the auth tag. const maxSessionKeySizeInBytes = 64 // SymmetricKeyEncrypted represents a passphrase protected session key. See RFC @@ -25,13 +27,16 @@ type SymmetricKeyEncrypted struct { CipherFunc CipherFunction Mode AEADMode s2k func(out, in []byte) - aeadNonce []byte - encryptedKey []byte + iv []byte + encryptedKey []byte // Contains also the authentication tag for AEAD } +// parse parses an SymmetricKeyEncrypted packet as specified in +// https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#name-symmetric-key-encrypted-ses func (ske *SymmetricKeyEncrypted) parse(r io.Reader) error { - // RFC 4880, section 5.3. - var buf [2]byte + var buf [1]byte + + // Version if _, err := readFull(r, buf[:]); err != nil { return err } @@ -39,17 +44,34 @@ func (ske *SymmetricKeyEncrypted) parse(r io.Reader) error { if ske.Version != 4 && ske.Version != 5 { return errors.UnsupportedError("unknown SymmetricKeyEncrypted version") } - ske.CipherFunc = CipherFunction(buf[1]) - if ske.CipherFunc.KeySize() == 0 { - return errors.UnsupportedError("unknown cipher: " + strconv.Itoa(int(buf[1]))) + + if ske.Version == 5 { + // Scalar octet count + if _, err := readFull(r, buf[:]); err != nil { + return err + } + } + + // Cipher function + if _, err := readFull(r, buf[:]); err != nil { + return err + } + ske.CipherFunc = CipherFunction(buf[0]) + if !ske.CipherFunc.IsSupported() { + return errors.UnsupportedError("unknown cipher: " + strconv.Itoa(int(buf[0]))) } if ske.Version == 5 { - mode := make([]byte, 1) - if _, err := r.Read(mode); err != nil { - return errors.StructuralError("cannot read AEAD octect from packet") + // AEAD mode + if _, err := readFull(r, buf[:]); err != nil { + return errors.StructuralError("cannot read AEAD octet from packet") + } + ske.Mode = AEADMode(buf[0]) + + // Scalar octet count + if _, err := readFull(r, buf[:]); err != nil { + return err } - ske.Mode = AEADMode(mode[0]) } var err error @@ -61,13 +83,14 @@ func (ske *SymmetricKeyEncrypted) parse(r io.Reader) error { } if ske.Version == 5 { - // AEAD nonce - nonce := make([]byte, ske.Mode.NonceLength()) - _, err := readFull(r, nonce) - if err != nil && err != io.ErrUnexpectedEOF { - return err + // AEAD IV + iv := make([]byte, ske.Mode.IvLength()) + _, err := readFull(r, iv) + if err != nil { + return errors.StructuralError("cannot read AEAD IV") } - ske.aeadNonce = nonce + + ske.iv = iv } encryptedKey := make([]byte, maxSessionKeySizeInBytes) @@ -128,11 +151,10 @@ func (ske *SymmetricKeyEncrypted) decryptV4(key []byte) ([]byte, CipherFunction, } func (ske *SymmetricKeyEncrypted) decryptV5(key []byte) ([]byte, error) { - blockCipher := CipherFunction(ske.CipherFunc).new(key) - aead := ske.Mode.new(blockCipher) - adata := []byte{0xc3, byte(5), byte(ske.CipherFunc), byte(ske.Mode)} - plaintextKey, err := aead.Open(nil, ske.aeadNonce, ske.encryptedKey, adata) + aead := getEncryptedKeyAeadInstance(ske.CipherFunc, ske.Mode, key, adata) + + plaintextKey, err := aead.Open(nil, ske.iv, ske.encryptedKey, adata) if err != nil { return nil, err } @@ -142,17 +164,12 @@ func (ske *SymmetricKeyEncrypted) decryptV5(key []byte) ([]byte, error) { // SerializeSymmetricKeyEncrypted serializes a symmetric key packet to w. // The packet contains a random session key, encrypted by a key derived from // the given passphrase. The session key is returned and must be passed to -// SerializeSymmetricallyEncrypted or SerializeAEADEncrypted, depending on -// whether config.AEADConfig != nil. +// SerializeSymmetricallyEncrypted. // If config is nil, sensible defaults will be used. func SerializeSymmetricKeyEncrypted(w io.Writer, passphrase []byte, config *Config) (key []byte, err error) { cipherFunc := config.Cipher() - keySize := cipherFunc.KeySize() - if keySize == 0 { - return nil, errors.UnsupportedError("unknown cipher: " + strconv.Itoa(int(cipherFunc))) - } - sessionKey := make([]byte, keySize) + sessionKey := make([]byte, cipherFunc.KeySize()) _, err = io.ReadFull(config.Random(), sessionKey) if err != nil { return @@ -169,9 +186,8 @@ func SerializeSymmetricKeyEncrypted(w io.Writer, passphrase []byte, config *Conf // SerializeSymmetricKeyEncryptedReuseKey serializes a symmetric key packet to w. // The packet contains the given session key, encrypted by a key derived from -// the given passphrase. The session key must be passed to -// SerializeSymmetricallyEncrypted or SerializeAEADEncrypted, depending on -// whether config.AEADConfig != nil. +// the given passphrase. The returned session key must be passed to +// SerializeSymmetricallyEncrypted. // If config is nil, sensible defaults will be used. func SerializeSymmetricKeyEncryptedReuseKey(w io.Writer, sessionKey []byte, passphrase []byte, config *Config) (err error) { var version int @@ -181,11 +197,12 @@ func SerializeSymmetricKeyEncryptedReuseKey(w io.Writer, sessionKey []byte, pass version = 4 } cipherFunc := config.Cipher() - keySize := cipherFunc.KeySize() - if keySize == 0 { - return errors.UnsupportedError("unknown cipher: " + strconv.Itoa(int(cipherFunc))) + // cipherFunc must be AES + if !cipherFunc.IsSupported() || cipherFunc < CipherAES128 || cipherFunc > CipherAES256 { + return errors.UnsupportedError("unsupported cipher: " + strconv.Itoa(int(cipherFunc))) } + keySize := cipherFunc.KeySize() s2kBuf := new(bytes.Buffer) keyEncryptingKey := make([]byte, keySize) // s2k.Serialize salts and stretches the passphrase, and writes the @@ -201,24 +218,32 @@ func SerializeSymmetricKeyEncryptedReuseKey(w io.Writer, sessionKey []byte, pass case 4: packetLength = 2 /* header */ + len(s2kBytes) + 1 /* cipher type */ + keySize case 5: - nonceLen := config.AEAD().Mode().NonceLength() + ivLen := config.AEAD().Mode().IvLength() tagLen := config.AEAD().Mode().TagLength() - packetLength = 3 + len(s2kBytes) + nonceLen + keySize + tagLen + packetLength = 5 + len(s2kBytes) + ivLen + keySize + tagLen } err = serializeHeader(w, packetTypeSymmetricKeyEncrypted, packetLength) if err != nil { return } - buf := make([]byte, 2) // Symmetric Key Encrypted Version - buf[0] = byte(version) + buf := []byte{byte(version)} + + if version == 5 { + // Scalar octet count + buf = append(buf, byte(3 + len(s2kBytes) + config.AEAD().Mode().IvLength())) + } + // Cipher function - buf[1] = byte(cipherFunc) + buf = append(buf, byte(cipherFunc)) if version == 5 { // AEAD mode buf = append(buf, byte(config.AEAD().Mode())) + + // Scalar octet count + buf = append(buf, byte(len(s2kBytes))) } _, err = w.Write(buf) if err != nil { @@ -241,19 +266,20 @@ func SerializeSymmetricKeyEncryptedReuseKey(w io.Writer, sessionKey []byte, pass return } case 5: - blockCipher := cipherFunc.new(keyEncryptingKey) mode := config.AEAD().Mode() - aead := mode.new(blockCipher) - // Sample nonce using random reader - nonce := make([]byte, config.AEAD().Mode().NonceLength()) - _, err = io.ReadFull(config.Random(), nonce) + adata := []byte{0xc3, byte(5), byte(cipherFunc), byte(mode)} + aead := getEncryptedKeyAeadInstance(cipherFunc, mode, keyEncryptingKey, adata) + + // Sample iv using random reader + iv := make([]byte, config.AEAD().Mode().IvLength()) + _, err = io.ReadFull(config.Random(), iv) if err != nil { return } // Seal and write (encryptedData includes auth. tag) - adata := []byte{0xc3, byte(5), byte(cipherFunc), byte(mode)} - encryptedData := aead.Seal(nil, nonce, sessionKey, adata) - _, err = w.Write(nonce) + + encryptedData := aead.Seal(nil, iv, sessionKey, adata) + _, err = w.Write(iv) if err != nil { return } @@ -265,3 +291,13 @@ func SerializeSymmetricKeyEncryptedReuseKey(w io.Writer, sessionKey []byte, pass return } + +func getEncryptedKeyAeadInstance(c CipherFunction, mode AEADMode, inputKey, associatedData []byte) (aead cipher.AEAD) { + hkdfReader := hkdf.New(sha256.New, inputKey, []byte{}, associatedData) + + encryptionKey := make([]byte, c.KeySize()) + _, _ = readFull(hkdfReader, encryptionKey) + + blockCipher := c.new(encryptionKey) + return mode.new(blockCipher) +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted.go index 8b84de177f..dc1a240357 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted.go @@ -5,36 +5,55 @@ package packet import ( - "crypto/cipher" - "crypto/sha1" - "crypto/subtle" - "hash" "io" - "strconv" "github.com/ProtonMail/go-crypto/openpgp/errors" ) +const aeadSaltSize = 32 + // SymmetricallyEncrypted represents a symmetrically encrypted byte string. The // encrypted Contents will consist of more OpenPGP packets. See RFC 4880, // sections 5.7 and 5.13. type SymmetricallyEncrypted struct { - MDC bool // true iff this is a type 18 packet and thus has an embedded MAC. - Contents io.Reader + Version int + Contents io.Reader // contains tag for version 2 + IntegrityProtected bool // If true it is type 18 (with MDC or AEAD). False is packet type 9 + + // Specific to version 1 prefix []byte + + // Specific to version 2 + cipher CipherFunction + mode AEADMode + chunkSizeByte byte + salt [aeadSaltSize]byte } -const symmetricallyEncryptedVersion = 1 +const ( + symmetricallyEncryptedVersionMdc = 1 + symmetricallyEncryptedVersionAead = 2 +) + func (se *SymmetricallyEncrypted) parse(r io.Reader) error { - if se.MDC { + if se.IntegrityProtected { // See RFC 4880, section 5.13. var buf [1]byte _, err := readFull(r, buf[:]) if err != nil { return err } - if buf[0] != symmetricallyEncryptedVersion { + + switch buf[0] { + case symmetricallyEncryptedVersionMdc: + se.Version = symmetricallyEncryptedVersionMdc + case symmetricallyEncryptedVersionAead: + se.Version = symmetricallyEncryptedVersionAead + if err := se.parseAead(r); err != nil { + return err + } + default: return errors.UnsupportedError("unknown SymmetricallyEncrypted version") } } @@ -46,245 +65,27 @@ func (se *SymmetricallyEncrypted) parse(r io.Reader) error { // packet can be read. An incorrect key will only be detected after trying // to decrypt the entire data. func (se *SymmetricallyEncrypted) Decrypt(c CipherFunction, key []byte) (io.ReadCloser, error) { - keySize := c.KeySize() - if keySize == 0 { - return nil, errors.UnsupportedError("unknown cipher: " + strconv.Itoa(int(c))) - } - if len(key) != keySize { - return nil, errors.InvalidArgumentError("SymmetricallyEncrypted: incorrect key length") - } - - if se.prefix == nil { - se.prefix = make([]byte, c.blockSize()+2) - _, err := readFull(se.Contents, se.prefix) - if err != nil { - return nil, err - } - } else if len(se.prefix) != c.blockSize()+2 { - return nil, errors.InvalidArgumentError("can't try ciphers with different block lengths") - } - - ocfbResync := OCFBResync - if se.MDC { - // MDC packets use a different form of OCFB mode. - ocfbResync = OCFBNoResync - } - - s := NewOCFBDecrypter(c.new(key), se.prefix, ocfbResync) - - plaintext := cipher.StreamReader{S: s, R: se.Contents} - - if se.MDC { - // MDC packets have an embedded hash that we need to check. - h := sha1.New() - h.Write(se.prefix) - return &seMDCReader{in: plaintext, h: h}, nil - } - - // Otherwise, we just need to wrap plaintext so that it's a valid ReadCloser. - return seReader{plaintext}, nil -} - -// seReader wraps an io.Reader with a no-op Close method. -type seReader struct { - in io.Reader -} - -func (ser seReader) Read(buf []byte) (int, error) { - return ser.in.Read(buf) -} - -func (ser seReader) Close() error { - return nil -} - -const mdcTrailerSize = 1 /* tag byte */ + 1 /* length byte */ + sha1.Size - -// An seMDCReader wraps an io.Reader, maintains a running hash and keeps hold -// of the most recent 22 bytes (mdcTrailerSize). Upon EOF, those bytes form an -// MDC packet containing a hash of the previous Contents which is checked -// against the running hash. See RFC 4880, section 5.13. -type seMDCReader struct { - in io.Reader - h hash.Hash - trailer [mdcTrailerSize]byte - scratch [mdcTrailerSize]byte - trailerUsed int - error bool - eof bool -} - -func (ser *seMDCReader) Read(buf []byte) (n int, err error) { - if ser.error { - err = io.ErrUnexpectedEOF - return - } - if ser.eof { - err = io.EOF - return - } - - // If we haven't yet filled the trailer buffer then we must do that - // first. - for ser.trailerUsed < mdcTrailerSize { - n, err = ser.in.Read(ser.trailer[ser.trailerUsed:]) - ser.trailerUsed += n - if err == io.EOF { - if ser.trailerUsed != mdcTrailerSize { - n = 0 - err = io.ErrUnexpectedEOF - ser.error = true - return - } - ser.eof = true - n = 0 - return - } - - if err != nil { - n = 0 - return - } - } - - // If it's a short read then we read into a temporary buffer and shift - // the data into the caller's buffer. - if len(buf) <= mdcTrailerSize { - n, err = readFull(ser.in, ser.scratch[:len(buf)]) - copy(buf, ser.trailer[:n]) - ser.h.Write(buf[:n]) - copy(ser.trailer[:], ser.trailer[n:]) - copy(ser.trailer[mdcTrailerSize-n:], ser.scratch[:]) - if n < len(buf) { - ser.eof = true - err = io.EOF - } - return + if se.Version == symmetricallyEncryptedVersionAead { + return se.decryptAead(key) } - n, err = ser.in.Read(buf[mdcTrailerSize:]) - copy(buf, ser.trailer[:]) - ser.h.Write(buf[:n]) - copy(ser.trailer[:], buf[n:]) - - if err == io.EOF { - ser.eof = true - } - return -} - -// This is a new-format packet tag byte for a type 19 (MDC) packet. -const mdcPacketTagByte = byte(0x80) | 0x40 | 19 - -func (ser *seMDCReader) Close() error { - if ser.error { - return errors.ErrMDCMissing - } - - for !ser.eof { - // We haven't seen EOF so we need to read to the end - var buf [1024]byte - _, err := ser.Read(buf[:]) - if err == io.EOF { - break - } - if err != nil { - return errors.ErrMDCMissing - } - } - - ser.h.Write(ser.trailer[:2]) - - final := ser.h.Sum(nil) - if subtle.ConstantTimeCompare(final, ser.trailer[2:]) != 1 { - return errors.ErrMDCHashMismatch - } - // The hash already includes the MDC header, but we still check its value - // to confirm encryption correctness - if ser.trailer[0] != mdcPacketTagByte || ser.trailer[1] != sha1.Size { - return errors.ErrMDCMissing - } - return nil -} - -// An seMDCWriter writes through to an io.WriteCloser while maintains a running -// hash of the data written. On close, it emits an MDC packet containing the -// running hash. -type seMDCWriter struct { - w io.WriteCloser - h hash.Hash -} - -func (w *seMDCWriter) Write(buf []byte) (n int, err error) { - w.h.Write(buf) - return w.w.Write(buf) -} - -func (w *seMDCWriter) Close() (err error) { - var buf [mdcTrailerSize]byte - - buf[0] = mdcPacketTagByte - buf[1] = sha1.Size - w.h.Write(buf[:2]) - digest := w.h.Sum(nil) - copy(buf[2:], digest) - - _, err = w.w.Write(buf[:]) - if err != nil { - return - } - return w.w.Close() -} - -// noOpCloser is like an ioutil.NopCloser, but for an io.Writer. -type noOpCloser struct { - w io.Writer -} - -func (c noOpCloser) Write(data []byte) (n int, err error) { - return c.w.Write(data) -} - -func (c noOpCloser) Close() error { - return nil + return se.decryptMdc(c, key) } // SerializeSymmetricallyEncrypted serializes a symmetrically encrypted packet // to w and returns a WriteCloser to which the to-be-encrypted packets can be // written. // If config is nil, sensible defaults will be used. -func SerializeSymmetricallyEncrypted(w io.Writer, c CipherFunction, key []byte, config *Config) (Contents io.WriteCloser, err error) { - if c.KeySize() != len(key) { - return nil, errors.InvalidArgumentError("SymmetricallyEncrypted.Serialize: bad key length") - } +func SerializeSymmetricallyEncrypted(w io.Writer, c CipherFunction, aeadSupported bool, cipherSuite CipherSuite, key []byte, config *Config) (Contents io.WriteCloser, err error) { writeCloser := noOpCloser{w} - ciphertext, err := serializeStreamHeader(writeCloser, packetTypeSymmetricallyEncryptedMDC) - if err != nil { - return - } - - _, err = ciphertext.Write([]byte{symmetricallyEncryptedVersion}) + ciphertext, err := serializeStreamHeader(writeCloser, packetTypeSymmetricallyEncryptedIntegrityProtected) if err != nil { return } - block := c.new(key) - blockSize := block.BlockSize() - iv := make([]byte, blockSize) - _, err = config.Random().Read(iv) - if err != nil { - return - } - s, prefix := NewOCFBEncrypter(block, iv, OCFBNoResync) - _, err = ciphertext.Write(prefix) - if err != nil { - return + if aeadSupported { + return serializeSymmetricallyEncryptedAead(ciphertext, cipherSuite, config.AEADConfig.ChunkSizeByte(), config.Random(), key) } - plaintext := cipher.StreamWriter{S: s, W: ciphertext} - h := sha1.New() - h.Write(iv) - h.Write(iv[blockSize-2:]) - Contents = &seMDCWriter{w: plaintext, h: h} - return + return serializeSymmetricallyEncryptedMdc(ciphertext, c, key, config) } diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted_aead.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted_aead.go new file mode 100644 index 0000000000..241800c02e --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted_aead.go @@ -0,0 +1,155 @@ +// Copyright 2023 Proton AG. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package packet + +import ( + "crypto/cipher" + "crypto/sha256" + "github.com/ProtonMail/go-crypto/openpgp/errors" + "golang.org/x/crypto/hkdf" + "io" +) + +// parseAead parses a V2 SEIPD packet (AEAD) as specified in +// https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-5.13.2 +func (se *SymmetricallyEncrypted) parseAead(r io.Reader) error { + headerData := make([]byte, 3) + if n, err := io.ReadFull(r, headerData); n < 3 { + return errors.StructuralError("could not read aead header: " + err.Error()) + } + + // Cipher + se.cipher = CipherFunction(headerData[0]) + // cipherFunc must have block size 16 to use AEAD + if se.cipher.blockSize() != 16 { + return errors.UnsupportedError("invalid aead cipher: " + string(se.cipher)) + } + + // Mode + se.mode = AEADMode(headerData[1]) + if se.mode.TagLength() == 0 { + return errors.UnsupportedError("unknown aead mode: " + string(se.mode)) + } + + // Chunk size + se.chunkSizeByte = headerData[2] + if se.chunkSizeByte > 16 { + return errors.UnsupportedError("invalid aead chunk size byte: " + string(se.chunkSizeByte)) + } + + // Salt + if n, err := io.ReadFull(r, se.salt[:]); n < aeadSaltSize { + return errors.StructuralError("could not read aead salt: " + err.Error()) + } + + return nil +} + +// associatedData for chunks: tag, version, cipher, mode, chunk size byte +func (se *SymmetricallyEncrypted) associatedData() []byte { + return []byte{ + 0xD2, + symmetricallyEncryptedVersionAead, + byte(se.cipher), + byte(se.mode), + se.chunkSizeByte, + } +} + +// decryptAead decrypts a V2 SEIPD packet (AEAD) as specified in +// https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-5.13.2 +func (se *SymmetricallyEncrypted) decryptAead(inputKey []byte) (io.ReadCloser, error) { + aead, nonce := getSymmetricallyEncryptedAeadInstance(se.cipher, se.mode, inputKey, se.salt[:], se.associatedData()) + + // Carry the first tagLen bytes + tagLen := se.mode.TagLength() + peekedBytes := make([]byte, tagLen) + n, err := io.ReadFull(se.Contents, peekedBytes) + if n < tagLen || (err != nil && err != io.EOF) { + return nil, errors.StructuralError("not enough data to decrypt:" + err.Error()) + } + + return &aeadDecrypter{ + aeadCrypter: aeadCrypter{ + aead: aead, + chunkSize: decodeAEADChunkSize(se.chunkSizeByte), + initialNonce: nonce, + associatedData: se.associatedData(), + chunkIndex: make([]byte, 8), + packetTag: packetTypeSymmetricallyEncryptedIntegrityProtected, + }, + reader: se.Contents, + peekedBytes: peekedBytes, + }, nil +} + +// serializeSymmetricallyEncryptedAead encrypts to a writer a V2 SEIPD packet (AEAD) as specified in +// https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-5.13.2 +func serializeSymmetricallyEncryptedAead(ciphertext io.WriteCloser, cipherSuite CipherSuite, chunkSizeByte byte, rand io.Reader, inputKey []byte) (Contents io.WriteCloser, err error) { + // cipherFunc must have block size 16 to use AEAD + if cipherSuite.Cipher.blockSize() != 16 { + return nil, errors.InvalidArgumentError("invalid aead cipher function") + } + + if cipherSuite.Cipher.KeySize() != len(inputKey) { + return nil, errors.InvalidArgumentError("error in aead serialization: bad key length") + } + + // Data for en/decryption: tag, version, cipher, aead mode, chunk size + prefix := []byte{ + 0xD2, + symmetricallyEncryptedVersionAead, + byte(cipherSuite.Cipher), + byte(cipherSuite.Mode), + chunkSizeByte, + } + + // Write header (that correspond to prefix except first byte) + n, err := ciphertext.Write(prefix[1:]) + if err != nil || n < 4 { + return nil, err + } + + // Random salt + salt := make([]byte, aeadSaltSize) + if _, err := rand.Read(salt); err != nil { + return nil, err + } + + if _, err := ciphertext.Write(salt); err != nil { + return nil, err + } + + aead, nonce := getSymmetricallyEncryptedAeadInstance(cipherSuite.Cipher, cipherSuite.Mode, inputKey, salt, prefix) + + return &aeadEncrypter{ + aeadCrypter: aeadCrypter{ + aead: aead, + chunkSize: decodeAEADChunkSize(chunkSizeByte), + associatedData: prefix, + chunkIndex: make([]byte, 8), + initialNonce: nonce, + packetTag: packetTypeSymmetricallyEncryptedIntegrityProtected, + }, + writer: ciphertext, + }, nil +} + +func getSymmetricallyEncryptedAeadInstance(c CipherFunction, mode AEADMode, inputKey, salt, associatedData []byte) (aead cipher.AEAD, nonce []byte) { + hkdfReader := hkdf.New(sha256.New, inputKey, salt, associatedData) + + encryptionKey := make([]byte, c.KeySize()) + _, _ = readFull(hkdfReader, encryptionKey) + + // Last 64 bits of nonce are the counter + nonce = make([]byte, mode.IvLength() - 8) + + _, _ = readFull(hkdfReader, nonce) + + blockCipher := c.new(encryptionKey) + aead = mode.new(blockCipher) + + return +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted_mdc.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted_mdc.go new file mode 100644 index 0000000000..3e070f8b82 --- /dev/null +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted_mdc.go @@ -0,0 +1,256 @@ +// Copyright 2011 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package packet + +import ( + "crypto/cipher" + "crypto/sha1" + "crypto/subtle" + "hash" + "io" + "strconv" + + "github.com/ProtonMail/go-crypto/openpgp/errors" +) + +// seMdcReader wraps an io.Reader with a no-op Close method. +type seMdcReader struct { + in io.Reader +} + +func (ser seMdcReader) Read(buf []byte) (int, error) { + return ser.in.Read(buf) +} + +func (ser seMdcReader) Close() error { + return nil +} + +func (se *SymmetricallyEncrypted) decryptMdc(c CipherFunction, key []byte) (io.ReadCloser, error) { + if !c.IsSupported() { + return nil, errors.UnsupportedError("unsupported cipher: " + strconv.Itoa(int(c))) + } + + if len(key) != c.KeySize() { + return nil, errors.InvalidArgumentError("SymmetricallyEncrypted: incorrect key length") + } + + if se.prefix == nil { + se.prefix = make([]byte, c.blockSize()+2) + _, err := readFull(se.Contents, se.prefix) + if err != nil { + return nil, err + } + } else if len(se.prefix) != c.blockSize()+2 { + return nil, errors.InvalidArgumentError("can't try ciphers with different block lengths") + } + + ocfbResync := OCFBResync + if se.IntegrityProtected { + // MDC packets use a different form of OCFB mode. + ocfbResync = OCFBNoResync + } + + s := NewOCFBDecrypter(c.new(key), se.prefix, ocfbResync) + + plaintext := cipher.StreamReader{S: s, R: se.Contents} + + if se.IntegrityProtected { + // IntegrityProtected packets have an embedded hash that we need to check. + h := sha1.New() + h.Write(se.prefix) + return &seMDCReader{in: plaintext, h: h}, nil + } + + // Otherwise, we just need to wrap plaintext so that it's a valid ReadCloser. + return seMdcReader{plaintext}, nil +} + +const mdcTrailerSize = 1 /* tag byte */ + 1 /* length byte */ + sha1.Size + +// An seMDCReader wraps an io.Reader, maintains a running hash and keeps hold +// of the most recent 22 bytes (mdcTrailerSize). Upon EOF, those bytes form an +// MDC packet containing a hash of the previous Contents which is checked +// against the running hash. See RFC 4880, section 5.13. +type seMDCReader struct { + in io.Reader + h hash.Hash + trailer [mdcTrailerSize]byte + scratch [mdcTrailerSize]byte + trailerUsed int + error bool + eof bool +} + +func (ser *seMDCReader) Read(buf []byte) (n int, err error) { + if ser.error { + err = io.ErrUnexpectedEOF + return + } + if ser.eof { + err = io.EOF + return + } + + // If we haven't yet filled the trailer buffer then we must do that + // first. + for ser.trailerUsed < mdcTrailerSize { + n, err = ser.in.Read(ser.trailer[ser.trailerUsed:]) + ser.trailerUsed += n + if err == io.EOF { + if ser.trailerUsed != mdcTrailerSize { + n = 0 + err = io.ErrUnexpectedEOF + ser.error = true + return + } + ser.eof = true + n = 0 + return + } + + if err != nil { + n = 0 + return + } + } + + // If it's a short read then we read into a temporary buffer and shift + // the data into the caller's buffer. + if len(buf) <= mdcTrailerSize { + n, err = readFull(ser.in, ser.scratch[:len(buf)]) + copy(buf, ser.trailer[:n]) + ser.h.Write(buf[:n]) + copy(ser.trailer[:], ser.trailer[n:]) + copy(ser.trailer[mdcTrailerSize-n:], ser.scratch[:]) + if n < len(buf) { + ser.eof = true + err = io.EOF + } + return + } + + n, err = ser.in.Read(buf[mdcTrailerSize:]) + copy(buf, ser.trailer[:]) + ser.h.Write(buf[:n]) + copy(ser.trailer[:], buf[n:]) + + if err == io.EOF { + ser.eof = true + } + return +} + +// This is a new-format packet tag byte for a type 19 (Integrity Protected) packet. +const mdcPacketTagByte = byte(0x80) | 0x40 | 19 + +func (ser *seMDCReader) Close() error { + if ser.error { + return errors.ErrMDCMissing + } + + for !ser.eof { + // We haven't seen EOF so we need to read to the end + var buf [1024]byte + _, err := ser.Read(buf[:]) + if err == io.EOF { + break + } + if err != nil { + return errors.ErrMDCMissing + } + } + + ser.h.Write(ser.trailer[:2]) + + final := ser.h.Sum(nil) + if subtle.ConstantTimeCompare(final, ser.trailer[2:]) != 1 { + return errors.ErrMDCHashMismatch + } + // The hash already includes the MDC header, but we still check its value + // to confirm encryption correctness + if ser.trailer[0] != mdcPacketTagByte || ser.trailer[1] != sha1.Size { + return errors.ErrMDCMissing + } + return nil +} + +// An seMDCWriter writes through to an io.WriteCloser while maintains a running +// hash of the data written. On close, it emits an MDC packet containing the +// running hash. +type seMDCWriter struct { + w io.WriteCloser + h hash.Hash +} + +func (w *seMDCWriter) Write(buf []byte) (n int, err error) { + w.h.Write(buf) + return w.w.Write(buf) +} + +func (w *seMDCWriter) Close() (err error) { + var buf [mdcTrailerSize]byte + + buf[0] = mdcPacketTagByte + buf[1] = sha1.Size + w.h.Write(buf[:2]) + digest := w.h.Sum(nil) + copy(buf[2:], digest) + + _, err = w.w.Write(buf[:]) + if err != nil { + return + } + return w.w.Close() +} + +// noOpCloser is like an ioutil.NopCloser, but for an io.Writer. +type noOpCloser struct { + w io.Writer +} + +func (c noOpCloser) Write(data []byte) (n int, err error) { + return c.w.Write(data) +} + +func (c noOpCloser) Close() error { + return nil +} + +func serializeSymmetricallyEncryptedMdc(ciphertext io.WriteCloser, c CipherFunction, key []byte, config *Config) (Contents io.WriteCloser, err error) { + // Disallow old cipher suites + if !c.IsSupported() || c < CipherAES128 { + return nil, errors.InvalidArgumentError("invalid mdc cipher function") + } + + if c.KeySize() != len(key) { + return nil, errors.InvalidArgumentError("error in mdc serialization: bad key length") + } + + _, err = ciphertext.Write([]byte{symmetricallyEncryptedVersionMdc}) + if err != nil { + return + } + + block := c.new(key) + blockSize := block.BlockSize() + iv := make([]byte, blockSize) + _, err = config.Random().Read(iv) + if err != nil { + return + } + s, prefix := NewOCFBEncrypter(block, iv, OCFBNoResync) + _, err = ciphertext.Write(prefix) + if err != nil { + return + } + plaintext := cipher.StreamWriter{S: s, W: ciphertext} + + h := sha1.New() + h.Write(iv) + h.Write(iv[blockSize-2:]) + Contents = &seMDCWriter{w: plaintext, h: h} + return +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/userattribute.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/userattribute.go index 0f760ade2c..88ec72c6c4 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/userattribute.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/userattribute.go @@ -42,9 +42,16 @@ func NewUserAttributePhoto(photos ...image.Image) (uat *UserAttribute, err error if err = jpeg.Encode(&buf, photo, nil); err != nil { return } + + lengthBuf := make([]byte, 5) + n := serializeSubpacketLength(lengthBuf, len(buf.Bytes())+1) + lengthBuf = lengthBuf[:n] + uat.Contents = append(uat.Contents, &OpaqueSubpacket{ - SubType: UserAttrImageSubpacket, - Contents: buf.Bytes()}) + SubType: UserAttrImageSubpacket, + EncodedLength: lengthBuf, + Contents: buf.Bytes(), + }) } return } diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/userid.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/userid.go index d6bea7d4ac..614fbafd5e 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/userid.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/packet/userid.go @@ -156,5 +156,12 @@ func parseUserId(id string) (name, comment, email string) { name = strings.TrimSpace(id[n.start:n.end]) comment = strings.TrimSpace(id[c.start:c.end]) email = strings.TrimSpace(id[e.start:e.end]) + + // RFC 2822 3.4: alternate simple form of a mailbox + if email == "" && strings.ContainsRune(name, '@') { + email = name + name = "" + } + return } diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/read.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/read.go index acb7cc6e29..e910e18441 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/read.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/read.go @@ -8,13 +8,16 @@ package openpgp // import "github.com/ProtonMail/go-crypto/openpgp" import ( "crypto" _ "crypto/sha256" + _ "crypto/sha512" "hash" "io" "strconv" "github.com/ProtonMail/go-crypto/openpgp/armor" "github.com/ProtonMail/go-crypto/openpgp/errors" + "github.com/ProtonMail/go-crypto/openpgp/internal/algorithm" "github.com/ProtonMail/go-crypto/openpgp/packet" + _ "golang.org/x/crypto/sha3" ) // SignatureType is the armor type for a PGP signature. @@ -119,17 +122,25 @@ ParsePackets: default: continue } - var keys []Key - if p.KeyId == 0 { - keys = keyring.DecryptionKeys() - } else { - keys = keyring.KeysById(p.KeyId) + if keyring != nil { + var keys []Key + if p.KeyId == 0 { + keys = keyring.DecryptionKeys() + } else { + keys = keyring.KeysById(p.KeyId) + } + for _, k := range keys { + pubKeys = append(pubKeys, keyEnvelopePair{k, p}) + } } - for _, k := range keys { - pubKeys = append(pubKeys, keyEnvelopePair{k, p}) + case *packet.SymmetricallyEncrypted: + if !p.IntegrityProtected && !config.AllowUnauthenticatedMessages() { + return nil, errors.UnsupportedError("message is not integrity protected") } - case *packet.SymmetricallyEncrypted, *packet.AEADEncrypted: - edp = p.(packet.EncryptedDataPacket) + edp = p + break ParsePackets + case *packet.AEADEncrypted: + edp = p break ParsePackets case *packet.Compressed, *packet.LiteralData, *packet.OnePassSignature: // This message isn't encrypted. @@ -200,13 +211,11 @@ FindKey: if len(symKeys) != 0 && passphrase != nil { for _, s := range symKeys { key, cipherFunc, err := s.Decrypt(passphrase) - // On wrong passphrase, session key decryption is very likely to result in an invalid cipherFunc: + // In v4, on wrong passphrase, session key decryption is very likely to result in an invalid cipherFunc: // only for < 5% of cases we will proceed to decrypt the data if err == nil { decrypted, err = edp.Decrypt(cipherFunc, key) - // TODO: ErrKeyIncorrect is no longer thrown on SEIP decryption, - // but it might still be relevant for when we implement AEAD decryption (otherwise, remove?) - if err != nil && err != errors.ErrKeyIncorrect { + if err != nil { return nil, err } if decrypted != nil { @@ -268,9 +277,11 @@ FindLiteralData: md.IsSigned = true md.SignedByKeyId = p.KeyId - keys := keyring.KeysByIdUsage(p.KeyId, packet.KeyFlagSign) - if len(keys) > 0 { - md.SignedBy = &keys[0] + if keyring != nil { + keys := keyring.KeysByIdUsage(p.KeyId, packet.KeyFlagSign) + if len(keys) > 0 { + md.SignedBy = &keys[0] + } } case *packet.LiteralData: md.LiteralData = p @@ -294,14 +305,14 @@ FindLiteralData: // should be preprocessed (i.e. to normalize line endings). Thus this function // returns two hashes. The second should be used to hash the message itself and // performs any needed preprocessing. -func hashForSignature(hashId crypto.Hash, sigType packet.SignatureType) (hash.Hash, hash.Hash, error) { - if hashId == crypto.MD5 { - return nil, nil, errors.UnsupportedError("insecure hash algorithm: MD5") +func hashForSignature(hashFunc crypto.Hash, sigType packet.SignatureType) (hash.Hash, hash.Hash, error) { + if _, ok := algorithm.HashToHashIdWithSha1(hashFunc); !ok { + return nil, nil, errors.UnsupportedError("unsupported hash function") } - if !hashId.Available() { - return nil, nil, errors.UnsupportedError("hash not available: " + strconv.Itoa(int(hashId))) + if !hashFunc.Available() { + return nil, nil, errors.UnsupportedError("hash not available: " + strconv.Itoa(int(hashFunc))) } - h := hashId.New() + h := hashFunc.New() switch sigType { case packet.SigTypeBinary: @@ -373,19 +384,7 @@ func (scr *signatureCheckReader) Read(buf []byte) (int, error) { key := scr.md.SignedBy signatureError := key.PublicKey.VerifySignature(scr.h, sig) if signatureError == nil { - now := scr.config.Now() - if key.Revoked(now) || - key.Entity.Revoked(now) || // primary key is revoked (redundant if key is the primary key) - key.Entity.PrimaryIdentity().Revoked(now) { - signatureError = errors.ErrKeyRevoked - } - if sig.SigExpired(now) { - signatureError = errors.ErrSignatureExpired - } - if key.PublicKey.KeyExpired(key.SelfSignature, now) || - key.SelfSignature.SigExpired(now) { - signatureError = errors.ErrKeyExpired - } + signatureError = checkSignatureDetails(key, sig, scr.config) } scr.md.Signature = sig scr.md.SignatureError = signatureError @@ -424,8 +423,24 @@ func (scr *signatureCheckReader) Read(buf []byte) (int, error) { return n, nil } +// VerifyDetachedSignature takes a signed file and a detached signature and +// returns the signature packet and the entity the signature was signed by, +// if any, and a possible signature verification error. +// If the signer isn't known, ErrUnknownIssuer is returned. +func VerifyDetachedSignature(keyring KeyRing, signed, signature io.Reader, config *packet.Config) (sig *packet.Signature, signer *Entity, err error) { + var expectedHashes []crypto.Hash + return verifyDetachedSignature(keyring, signed, signature, expectedHashes, config) +} + +// VerifyDetachedSignatureAndHash performs the same actions as +// VerifyDetachedSignature and checks that the expected hash functions were used. +func VerifyDetachedSignatureAndHash(keyring KeyRing, signed, signature io.Reader, expectedHashes []crypto.Hash, config *packet.Config) (sig *packet.Signature, signer *Entity, err error) { + return verifyDetachedSignature(keyring, signed, signature, expectedHashes, config) +} + // CheckDetachedSignature takes a signed file and a detached signature and -// returns the signer if the signature is valid. If the signer isn't known, +// returns the entity the signature was signed by, if any, and a possible +// signature verification error. If the signer isn't known, // ErrUnknownIssuer is returned. func CheckDetachedSignature(keyring KeyRing, signed, signature io.Reader, config *packet.Config) (signer *Entity, err error) { var expectedHashes []crypto.Hash @@ -435,6 +450,11 @@ func CheckDetachedSignature(keyring KeyRing, signed, signature io.Reader, config // CheckDetachedSignatureAndHash performs the same actions as // CheckDetachedSignature and checks that the expected hash functions were used. func CheckDetachedSignatureAndHash(keyring KeyRing, signed, signature io.Reader, expectedHashes []crypto.Hash, config *packet.Config) (signer *Entity, err error) { + _, signer, err = verifyDetachedSignature(keyring, signed, signature, expectedHashes, config) + return +} + +func verifyDetachedSignature(keyring KeyRing, signed, signature io.Reader, expectedHashes []crypto.Hash, config *packet.Config) (sig *packet.Signature, signer *Entity, err error) { var issuerKeyId uint64 var hashFunc crypto.Hash var sigType packet.SignatureType @@ -443,23 +463,22 @@ func CheckDetachedSignatureAndHash(keyring KeyRing, signed, signature io.Reader, expectedHashesLen := len(expectedHashes) packets := packet.NewReader(signature) - var sig *packet.Signature for { p, err = packets.Next() if err == io.EOF { - return nil, errors.ErrUnknownIssuer + return nil, nil, errors.ErrUnknownIssuer } if err != nil { - return nil, err + return nil, nil, err } var ok bool sig, ok = p.(*packet.Signature) if !ok { - return nil, errors.StructuralError("non signature packet found") + return nil, nil, errors.StructuralError("non signature packet found") } if sig.IssuerKeyId == nil { - return nil, errors.StructuralError("signature doesn't have an issuer") + return nil, nil, errors.StructuralError("signature doesn't have an issuer") } issuerKeyId = *sig.IssuerKeyId hashFunc = sig.Hash @@ -470,7 +489,7 @@ func CheckDetachedSignatureAndHash(keyring KeyRing, signed, signature io.Reader, break } if i+1 == expectedHashesLen { - return nil, errors.StructuralError("hash algorithm mismatch with cleartext message headers") + return nil, nil, errors.StructuralError("hash algorithm mismatch with cleartext message headers") } } @@ -486,34 +505,21 @@ func CheckDetachedSignatureAndHash(keyring KeyRing, signed, signature io.Reader, h, wrappedHash, err := hashForSignature(hashFunc, sigType) if err != nil { - return nil, err + return nil, nil, err } if _, err := io.Copy(wrappedHash, signed); err != nil && err != io.EOF { - return nil, err + return nil, nil, err } for _, key := range keys { err = key.PublicKey.VerifySignature(h, sig) if err == nil { - now := config.Now() - if key.Revoked(now) || - key.Entity.Revoked(now) || // primary key is revoked (redundant if key is the primary key) - key.Entity.PrimaryIdentity().Revoked(now) { - return key.Entity, errors.ErrKeyRevoked - } - if sig.SigExpired(now) { - return key.Entity, errors.ErrSignatureExpired - } - if key.PublicKey.KeyExpired(key.SelfSignature, now) || - key.SelfSignature.SigExpired(now) { - return key.Entity, errors.ErrKeyExpired - } - return key.Entity, nil + return sig, key.Entity, checkSignatureDetails(&key, sig, config) } } - return nil, err + return nil, nil, err } // CheckArmoredDetachedSignature performs the same actions as @@ -526,3 +532,59 @@ func CheckArmoredDetachedSignature(keyring KeyRing, signed, signature io.Reader, return CheckDetachedSignature(keyring, signed, body, config) } + +// checkSignatureDetails returns an error if: +// - The signature (or one of the binding signatures mentioned below) +// has a unknown critical notation data subpacket +// - The primary key of the signing entity is revoked +// The signature was signed by a subkey and: +// - The signing subkey is revoked +// - The primary identity is revoked +// - The signature is expired +// - The primary key of the signing entity is expired according to the +// primary identity binding signature +// The signature was signed by a subkey and: +// - The signing subkey is expired according to the subkey binding signature +// - The signing subkey binding signature is expired +// - The signing subkey cross-signature is expired +// NOTE: The order of these checks is important, as the caller may choose to +// ignore ErrSignatureExpired or ErrKeyExpired errors, but should never +// ignore any other errors. +// TODO: Also return an error if: +// - The primary key is expired according to a direct-key signature +// - (For V5 keys only:) The direct-key signature (exists and) is expired +func checkSignatureDetails(key *Key, signature *packet.Signature, config *packet.Config) error { + now := config.Now() + primaryIdentity := key.Entity.PrimaryIdentity() + signedBySubKey := key.PublicKey != key.Entity.PrimaryKey + sigsToCheck := []*packet.Signature{ signature, primaryIdentity.SelfSignature } + if signedBySubKey { + sigsToCheck = append(sigsToCheck, key.SelfSignature, key.SelfSignature.EmbeddedSignature) + } + for _, sig := range sigsToCheck { + for _, notation := range sig.Notations { + if notation.IsCritical && !config.KnownNotation(notation.Name) { + return errors.SignatureError("unknown critical notation: " + notation.Name) + } + } + } + if key.Entity.Revoked(now) || // primary key is revoked + (signedBySubKey && key.Revoked(now)) || // subkey is revoked + primaryIdentity.Revoked(now) { // primary identity is revoked + return errors.ErrKeyRevoked + } + if key.Entity.PrimaryKey.KeyExpired(primaryIdentity.SelfSignature, now) { // primary key is expired + return errors.ErrKeyExpired + } + if signedBySubKey { + if key.PublicKey.KeyExpired(key.SelfSignature, now) { // subkey is expired + return errors.ErrKeyExpired + } + } + for _, sig := range sigsToCheck { + if sig.SigExpired(now) { // any of the relevant signatures are expired + return errors.ErrSignatureExpired + } + } + return nil +} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/read_write_test_data.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/read_write_test_data.go index 8caed36e3e..db6dad5c0b 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/read_write_test_data.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/read_write_test_data.go @@ -1,8 +1,8 @@ package openpgp -const testKey1KeyId = 0xA34D7E18C20C31BB -const testKey3KeyId = 0x338934250CCC0360 -const testKeyP256KeyId = 0xd44a2c495918513e +const testKey1KeyId uint64 = 0xA34D7E18C20C31BB +const testKey3KeyId uint64 = 0x338934250CCC0360 +const testKeyP256KeyId uint64 = 0xd44a2c495918513e const signedInput = "Signed message\nline 2\nline 3\n" const signedTextInput = "Signed message\r\nline 2\r\nline 3\r\n" @@ -102,11 +102,11 @@ ex7En5r7rHR5xwX82Msc+Rq9dSyO const dsaKeyWithSHA512 = `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` -const unknownHashFunctionHex = `8a00000040040001990006050253863c24000a09103b4fe6acc0b21f32ffff01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101` +const unknownHashFunctionHex = `8a00000040040001990006050253863c24000a09103b4fe6acc0b21f32ffff0101010101010101010101010101010101010101010101010101010101010101010101010101` const rsaSignatureBadMPIlength = `8a00000040040001030006050253863c24000a09103b4fe6acc0b21f32ffff0101010101010101010101010101010101010101010101010101010101010101010101010101` -const missingHashFunctionHex = `8a00000040040001030006050253863c24000a09103b4fe6acc0b21f32ffff0101010101010101010101010101010101010101010101010101010101010101010101` +const missingHashFunctionHex = `8a00000040040001030006050253863c24000a09103b4fe6acc0b21f32ffff0101010101010101010101010101010101010101010101010101010101010101010101010101` const campbellQuine = `a0b001000300fcffa0b001000d00f2ff000300fcffa0b001000d00f2ff8270a01c00000500faff8270a01c00000500faff000500faff001400ebff8270a01c00000500faff000500faff001400ebff428821c400001400ebff428821c400001400ebff428821c400001400ebff428821c400001400ebff428821c400000000ffff000000ffff000b00f4ff428821c400000000ffff000000ffff000b00f4ff0233214c40000100feff000233214c40000100feff0000` @@ -171,3 +171,104 @@ y29VPonFXqi2zKkpZrvyvZxg+n5e8Nt9wNbuxeCd3QD/TtO2s+JvjrE4Siwv UQdl5MlBka1QSNbMq2Bz7XwNPg4= =6lbM -----END PGP MESSAGE-----` + +const keyWithExpiredCrossSig = `-----BEGIN PGP PUBLIC KEY BLOCK----- + +xsDNBF2lnPIBDAC5cL9PQoQLTMuhjbYvb4Ncuuo0bfmgPRFywX53jPhoFf4Zg6mv +/seOXpgecTdOcVttfzC8ycIKrt3aQTiwOG/ctaR4Bk/t6ayNFfdUNxHWk4WCKzdz +/56fW2O0F23qIRd8UUJp5IIlN4RDdRCtdhVQIAuzvp2oVy/LaS2kxQoKvph/5pQ/ +5whqsyroEWDJoSV0yOb25B/iwk/pLUFoyhDG9bj0kIzDxrEqW+7Ba8nocQlecMF3 +X5KMN5kp2zraLv9dlBBpWW43XktjcCZgMy20SouraVma8Je/ECwUWYUiAZxLIlMv +9CurEOtxUw6N3RdOtLmYZS9uEnn5y1UkF88o8Nku890uk6BrewFzJyLAx5wRZ4F0 +qV/yq36UWQ0JB/AUGhHVPdFf6pl6eaxBwT5GXvbBUibtf8YI2og5RsgTWtXfU7eb +SGXrl5ZMpbA6mbfhd0R8aPxWfmDWiIOhBufhMCvUHh1sApMKVZnvIff9/0Dca3wb +vLIwa3T4CyshfT0AEQEAAc0hQm9iIEJhYmJhZ2UgPGJvYkBvcGVucGdwLmV4YW1w +bGU+wsEABBMBCgATBYJeO2eVAgsJAxUICgKbAQIeAQAhCRD7/MgqAV5zMBYhBNGm +bhojsYLJmA94jPv8yCoBXnMwKWUMAJ3FKZfJ2mXvh+GFqgymvK4NoKkDRPB0CbUN +aDdG7ZOizQrWXo7Da2MYIZ6eZUDqBKLdhZ5gZfVnisDfu/yeCgpENaKib1MPHpA8 +nZQjnPejbBDomNqY8HRzr5jvXNlwywBpjWGtegCKUY9xbSynjbfzIlMrWL4S+Rfl ++bOOQKRyYJWXmECmVyqY8cz2VUYmETjNcwC8VCDUxQnhtcCJ7Aej22hfYwVEPb/J +BsJBPq8WECCiGfJ9Y2y6TF+62KzG9Kfs5hqUeHhQy8V4TSi479ewwL7DH86XmIIK +chSANBS+7iyMtctjNZfmF9zYdGJFvjI/mbBR/lK66E515Inuf75XnL8hqlXuwqvG +ni+i03Aet1DzULZEIio4uIU6ioc1lGO9h7K2Xn4S7QQH1QoISNMWqXibUR0RCGjw +FsEDTt2QwJl8XXxoJCooM7BCcCQo+rMNVUHDjIwrdoQjPld3YZsUQQRcqH6bLuln +cfn5ufl8zTGWKydoj/iTz8KcjZ7w187AzQRdpZzyAQwA1jC/XGxjK6ddgrRfW9j+ +s/U00++EvIsgTs2kr3Rg0GP7FLWV0YNtR1mpl55/bEl7yAxCDTkOgPUMXcaKlnQh +6zrlt6H53mF6Bvs3inOHQvOsGtU0dqvb1vkTF0juLiJgPlM7pWv+pNQ6IA39vKoQ +sTMBv4v5vYNXP9GgKbg8inUNT17BxzZYHfw5+q63ectgDm2on1e8CIRCZ76oBVwz +dkVxoy3gjh1eENlk2D4P0uJNZzF1Q8GV67yLANGMCDICE/OkWn6daipYDzW4iJQt +YPUWP4hWhjdm+CK+hg6IQUEn2Vtvi16D2blRP8BpUNNa4fNuylWVuJV76rIHvsLZ +1pbM3LHpRgE8s6jivS3Rz3WRs0TmWCNnvHPqWizQ3VTy+r3UQVJ5AmhJDrZdZq9i +aUIuZ01PoE1+CHiJwuxPtWvVAxf2POcm1M/F1fK1J0e+lKlQuyonTXqXR22Y41wr +fP2aPk3nPSTW2DUAf3vRMZg57ZpRxLEhEMxcM4/LMR+PABEBAAHCwrIEGAEKAAkF +gl8sAVYCmwIB3QkQ+/zIKgFeczDA+qAEGQEKAAwFgl47Z5UFgwB4TOAAIQkQfC+q +Tfk8N7IWIQQd3OFfCSF87i87N2B8L6pN+Tw3st58C/0exp0X2U4LqicSHEOSqHZj +jiysdqIELHGyo5DSPv92UFPp36aqjF9OFgtNNwSa56fmAVCD4+hor/fKARRIeIjF +qdIC5Y/9a4B10NQFJa5lsvB38x/d39LI2kEoglZnqWgdJskROo3vNQF4KlIcm6FH +dn4WI8UkC5oUUcrpZVMSKoacIaxLwqnXT42nIVgYYuqrd/ZagZZjG5WlrTOd5+NI +zi/l0fWProcPHGLjmAh4Thu8i7omtVw1nQaMnq9I77ffg3cPDgXknYrLL+q8xXh/ +0mEJyIhnmPwllWCSZuLv9DrD5pOexFfdlwXhf6cLzNpW6QhXD/Tf5KrqIPr9aOv8 +9xaEEXWh0vEby2kIsI2++ft+vfdIyxYw/wKqx0awTSnuBV1rG3z1dswX4BfoY66x +Bz3KOVqlz9+mG/FTRQwrgPvR+qgLCHbuotxoGN7fzW+PI75hQG5JQAqhsC9sHjQH +UrI21/VUNwzfw3v5pYsWuFb5bdQ3ASJetICQiMy7IW8WIQTRpm4aI7GCyZgPeIz7 +/MgqAV5zMG6/C/wLpPl/9e6Hf5wmXIUwpZNQbNZvpiCcyx9sXsHXaycOQVxn3McZ +nYOUP9/mobl1tIeDQyTNbkxWjU0zzJl8XQsDZerb5098pg+x7oGIL7M1vn5s5JMl +owROourqF88JEtOBxLMxlAM7X4hB48xKQ3Hu9hS1GdnqLKki4MqRGl4l5FUwyGOM +GjyS3TzkfiDJNwQxybQiC9n57ij20ieNyLfuWCMLcNNnZUgZtnF6wCctoq/0ZIWu +a7nvuA/XC2WW9YjEJJiWdy5109pqac+qWiY11HWy/nms4gpMdxVpT0RhrKGWq4o0 +M5q3ZElOoeN70UO3OSbU5EVrG7gB1GuwF9mTHUVlV0veSTw0axkta3FGT//XfSpD +lRrCkyLzwq0M+UUHQAuYpAfobDlDdnxxOD2jm5GyTzak3GSVFfjW09QFVO6HlGp5 +01/jtzkUiS6nwoHHkfnyn0beZuR8X6KlcrzLB0VFgQFLmkSM9cSOgYhD0PTu9aHb +hW1Hj9AO8lzggBQ= +=Nt+N +-----END PGP PUBLIC KEY BLOCK----- +` + +const sigFromKeyWithExpiredCrossSig = `-----BEGIN PGP SIGNATURE----- + +wsDzBAABCgAGBYJfLAFsACEJEHwvqk35PDeyFiEEHdzhXwkhfO4vOzdgfC+qTfk8 +N7KiqwwAts4QGB7v9bABCC2qkTxJhmStC0wQMcHRcjL/qAiVnmasQWmvE9KVsdm3 +AaXd8mIx4a37/RRvr9dYrY2eE4uw72cMqPxNja2tvVXkHQvk1oEUqfkvbXs4ypKI +NyeTWjXNOTZEbg0hbm3nMy+Wv7zgB1CEvAsEboLDJlhGqPcD+X8a6CJGrBGUBUrv +KVmZr3U6vEzClz3DBLpoddCQseJRhT4YM1nKmBlZ5quh2LFgTSpajv5OsZheqt9y +EZAPbqmLhDmWRQwGzkWHKceKS7nZ/ox2WK6OS7Ob8ZGZkM64iPo6/EGj5Yc19vQN +AGiIaPEGszBBWlOpHTPhNm0LB0nMWqqaT87oNYwP8CQuuxDb6rKJ2lffCmZH27Lb +UbQZcH8J+0UhpeaiadPZxH5ATJAcenmVtVVMLVOFnm+eIlxzov9ntpgGYt8hLdXB +ITEG9mMgp3TGS9ZzSifMZ8UGtHdp9QdBg8NEVPFzDOMGxpc/Bftav7RRRuPiAER+ +7A5CBid5 +=aQkm +-----END PGP SIGNATURE----- +` + +const signedMessageWithCriticalNotation = `-----BEGIN PGP MESSAGE----- + +owGbwMvMwMH4oOW7S46CznTG09xJDDE3Wl1KUotLuDousDAwcjBYiSmyXL+48d6x +U1PSGUxcj8IUszKBVMpMaWAAAgEGZpAeh9SKxNyCnFS95PzcytRiBi5OAZjyXXzM +f8WYLqv7TXP61Sa4rqT12CI3xaN73YS2pt089f96odCKaEPnWJ3iSGmzJaW/ug10 +2Zo8Wj2k4s7t8wt4H3HtTu+y5UZfV3VOO+l//sdE/o+Lsub8FZH7/eOq7OnbNp4n +vwjE8mqJXetNMfj8r2SCyvkEnlVRYR+/mnge+ib56FdJ8uKtqSxyvgA= +=fRXs +-----END PGP MESSAGE-----` + +const criticalNotationSigner = `-----BEGIN PGP PUBLIC KEY BLOCK----- + +mI0EUmEvTgEEANyWtQQMOybQ9JltDqmaX0WnNPJeLILIM36sw6zL0nfTQ5zXSS3+ +fIF6P29lJFxpblWk02PSID5zX/DYU9/zjM2xPO8Oa4xo0cVTOTLj++Ri5mtr//f5 +GLsIXxFrBJhD/ghFsL3Op0GXOeLJ9A5bsOn8th7x6JucNKuaRB6bQbSPABEBAAG0 +JFRlc3QgTWNUZXN0aW5ndG9uIDx0ZXN0QGV4YW1wbGUuY29tPoi5BBMBAgAjBQJS +YS9OAhsvBwsJCAcDAgEGFQgCCQoLBBYCAwECHgECF4AACgkQSmNhOk1uQJQwDAP6 +AgrTyqkRlJVqz2pb46TfbDM2TDF7o9CBnBzIGoxBhlRwpqALz7z2kxBDmwpQa+ki +Bq3jZN/UosY9y8bhwMAlnrDY9jP1gdCo+H0sD48CdXybblNwaYpwqC8VSpDdTndf +9j2wE/weihGp/DAdy/2kyBCaiOY1sjhUfJ1GogF49rC4jQRSYS9OAQQA6R/PtBFa +JaT4jq10yqASk4sqwVMsc6HcifM5lSdxzExFP74naUMMyEsKHP53QxTF0Grqusag +Qg/ZtgT0CN1HUM152y7ACOdp1giKjpMzOTQClqCoclyvWOFB+L/SwGEIJf7LSCEr +woBuJifJc8xAVr0XX0JthoW+uP91eTQ3XpsAEQEAAYkBPQQYAQIACQUCUmEvTgIb +LgCoCRBKY2E6TW5AlJ0gBBkBAgAGBQJSYS9OAAoJEOCE90RsICyXuqIEANmmiRCA +SF7YK7PvFkieJNwzeK0V3F2lGX+uu6Y3Q/Zxdtwc4xR+me/CSBmsURyXTO29OWhP +GLszPH9zSJU9BdDi6v0yNprmFPX/1Ng0Abn/sCkwetvjxC1YIvTLFwtUL/7v6NS2 +bZpsUxRTg9+cSrMWWSNjiY9qUKajm1tuzPDZXAUEAMNmAN3xXN/Kjyvj2OK2ck0X +W748sl/tc3qiKPMJ+0AkMF7Pjhmh9nxqE9+QCEl7qinFqqBLjuzgUhBU4QlwX1GD +AtNTq6ihLMD5v1d82ZC7tNatdlDMGWnIdvEMCv2GZcuIqDQ9rXWs49e7tq1NncLY +hz3tYjKhoFTKEIq3y3Pp +=h/aX +-----END PGP PUBLIC KEY BLOCK-----` diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/s2k/s2k.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/s2k/s2k.go index 14f58548bd..d0b858345f 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/s2k/s2k.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/s2k/s2k.go @@ -172,7 +172,7 @@ func Iterated(out []byte, h hash.Hash, in []byte, salt []byte, count int) { // Generate generates valid parameters from given configuration. // It will enforce salted + hashed s2k method func Generate(rand io.Reader, c *Config) (*Params, error) { - hashId, ok := HashToHashId(c.Hash) + hashId, ok := algorithm.HashToHashId(c.Hash) if !ok { return nil, errors.UnsupportedError("no such hash") } @@ -262,7 +262,7 @@ func (params *Params) Function() (f func(out, in []byte), err error) { if params.Dummy() { return nil, errors.ErrDummyPrivateKey("dummy key found") } - hashObj, ok := HashIdToHash(params.hashId) + hashObj, ok := algorithm.HashIdToHashWithSha1(params.hashId) if !ok { return nil, errors.UnsupportedError("hash for S2K function: " + strconv.Itoa(int(params.hashId))) } @@ -337,31 +337,3 @@ func Serialize(w io.Writer, key []byte, rand io.Reader, passphrase []byte, c *Co f(key, passphrase) return nil } - -// HashIdToHash returns a crypto.Hash which corresponds to the given OpenPGP -// hash id. -func HashIdToHash(id byte) (h crypto.Hash, ok bool) { - if hash, ok := algorithm.HashById[id]; ok { - return hash.HashFunc(), true - } - return 0, false -} - -// HashIdToString returns the name of the hash function corresponding to the -// given OpenPGP hash id. -func HashIdToString(id byte) (name string, ok bool) { - if hash, ok := algorithm.HashById[id]; ok { - return hash.String(), true - } - return "", false -} - -// HashIdToHash returns an OpenPGP hash id which corresponds the given Hash. -func HashToHashId(h crypto.Hash) (id byte, ok bool) { - for id, hash := range algorithm.HashById { - if hash.HashFunc() == h { - return id, true - } - } - return 0, false -} diff --git a/vendor/github.com/ProtonMail/go-crypto/openpgp/write.go b/vendor/github.com/ProtonMail/go-crypto/openpgp/write.go index 23a24f2030..b3ae72f7bb 100644 --- a/vendor/github.com/ProtonMail/go-crypto/openpgp/write.go +++ b/vendor/github.com/ProtonMail/go-crypto/openpgp/write.go @@ -13,8 +13,8 @@ import ( "github.com/ProtonMail/go-crypto/openpgp/armor" "github.com/ProtonMail/go-crypto/openpgp/errors" + "github.com/ProtonMail/go-crypto/openpgp/internal/algorithm" "github.com/ProtonMail/go-crypto/openpgp/packet" - "github.com/ProtonMail/go-crypto/openpgp/s2k" ) // DetachSign signs message with the private key from signer (which must @@ -70,15 +70,11 @@ func detachSign(w io.Writer, signer *Entity, message io.Reader, sigType packet.S if signingKey.PrivateKey.Encrypted { return errors.InvalidArgumentError("signing key is encrypted") } + if _, ok := algorithm.HashToHashId(config.Hash()); !ok { + return errors.InvalidArgumentError("invalid hash function") + } - sig := new(packet.Signature) - sig.SigType = sigType - sig.PubKeyAlgo = signingKey.PrivateKey.PubKeyAlgo - sig.Hash = config.Hash() - sig.CreationTime = config.Now() - sigLifetimeSecs := config.SigLifetime() - sig.SigLifetimeSecs = &sigLifetimeSecs - sig.IssuerKeyId = &signingKey.PrivateKey.KeyId + sig := createSignaturePacket(signingKey.PublicKey, sigType, config) h, wrappedHash, err := hashForSignature(sig.Hash, sig.SigType) if err != nil { @@ -125,16 +121,13 @@ func SymmetricallyEncrypt(ciphertext io.Writer, passphrase []byte, hints *FileHi } var w io.WriteCloser - if config.AEAD() != nil { - w, err = packet.SerializeAEADEncrypted(ciphertext, key, config.Cipher(), config.AEAD().Mode(), config) - if err != nil { - return - } - } else { - w, err = packet.SerializeSymmetricallyEncrypted(ciphertext, config.Cipher(), key, config) - if err != nil { - return - } + cipherSuite := packet.CipherSuite{ + Cipher: config.Cipher(), + Mode: config.AEAD().Mode(), + } + w, err = packet.SerializeSymmetricallyEncrypted(ciphertext, config.Cipher(), config.AEAD() != nil, cipherSuite, key, config) + if err != nil { + return } literalData := w @@ -173,8 +166,25 @@ func intersectPreferences(a []uint8, b []uint8) (intersection []uint8) { return a[:j] } +// intersectPreferences mutates and returns a prefix of a that contains only +// the values in the intersection of a and b. The order of a is preserved. +func intersectCipherSuites(a [][2]uint8, b [][2]uint8) (intersection [][2]uint8) { + var j int + for _, v := range a { + for _, v2 := range b { + if v[0] == v2[0] && v[1] == v2[1] { + a[j] = v + j++ + break + } + } + } + + return a[:j] +} + func hashToHashId(h crypto.Hash) uint8 { - v, ok := s2k.HashToHashId(h) + v, ok := algorithm.HashToHashId(h) if !ok { panic("tried to convert unknown hash") } @@ -240,7 +250,7 @@ func writeAndSign(payload io.WriteCloser, candidateHashes []uint8, signed *Entit var hash crypto.Hash for _, hashId := range candidateHashes { - if h, ok := s2k.HashIdToHash(hashId); ok && h.Available() { + if h, ok := algorithm.HashIdToHash(hashId); ok && h.Available() { hash = h break } @@ -249,7 +259,7 @@ func writeAndSign(payload io.WriteCloser, candidateHashes []uint8, signed *Entit // If the hash specified by config is a candidate, we'll use that. if configuredHash := config.Hash(); configuredHash.Available() { for _, hashId := range candidateHashes { - if h, ok := s2k.HashIdToHash(hashId); ok && h == configuredHash { + if h, ok := algorithm.HashIdToHash(hashId); ok && h == configuredHash { hash = h break } @@ -258,7 +268,7 @@ func writeAndSign(payload io.WriteCloser, candidateHashes []uint8, signed *Entit if hash == 0 { hashId := candidateHashes[0] - name, ok := s2k.HashIdToString(hashId) + name, ok := algorithm.HashIdToString(hashId) if !ok { name = "#" + strconv.Itoa(int(hashId)) } @@ -329,39 +339,39 @@ func encrypt(keyWriter io.Writer, dataWriter io.Writer, to []*Entity, signed *En // These are the possible ciphers that we'll use for the message. candidateCiphers := []uint8{ - uint8(packet.CipherAES128), uint8(packet.CipherAES256), - uint8(packet.CipherCAST5), + uint8(packet.CipherAES128), } + // These are the possible hash functions that we'll use for the signature. candidateHashes := []uint8{ hashToHashId(crypto.SHA256), hashToHashId(crypto.SHA384), hashToHashId(crypto.SHA512), - hashToHashId(crypto.SHA1), - hashToHashId(crypto.RIPEMD160), + hashToHashId(crypto.SHA3_256), + hashToHashId(crypto.SHA3_512), } - candidateAeadModes := []uint8{ - uint8(packet.AEADModeEAX), - uint8(packet.AEADModeOCB), - uint8(packet.AEADModeExperimentalGCM), + + // Prefer GCM if everyone supports it + candidateCipherSuites := [][2]uint8{ + {uint8(packet.CipherAES256), uint8(packet.AEADModeGCM)}, + {uint8(packet.CipherAES256), uint8(packet.AEADModeEAX)}, + {uint8(packet.CipherAES256), uint8(packet.AEADModeOCB)}, + {uint8(packet.CipherAES128), uint8(packet.AEADModeGCM)}, + {uint8(packet.CipherAES128), uint8(packet.AEADModeEAX)}, + {uint8(packet.CipherAES128), uint8(packet.AEADModeOCB)}, } + candidateCompression := []uint8{ uint8(packet.CompressionNone), uint8(packet.CompressionZIP), uint8(packet.CompressionZLIB), } - // In the event that a recipient doesn't specify any supported ciphers - // or hash functions, these are the ones that we assume that every - // implementation supports. - defaultCiphers := candidateCiphers[0:1] - defaultHashes := candidateHashes[0:1] - defaultAeadModes := candidateAeadModes[0:1] - defaultCompression := candidateCompression[0:1] encryptKeys := make([]Key, len(to)) - // AEAD is used only if every key supports it. - aeadSupported := true + + // AEAD is used only if config enables it and every key supports it + aeadSupported := config.AEAD() != nil for i := range to { var ok bool @@ -371,38 +381,37 @@ func encrypt(keyWriter io.Writer, dataWriter io.Writer, to []*Entity, signed *En } sig := to[i].PrimaryIdentity().SelfSignature - if sig.AEAD == false { + if sig.SEIPDv2 == false { aeadSupported = false } - preferredSymmetric := sig.PreferredSymmetric - if len(preferredSymmetric) == 0 { - preferredSymmetric = defaultCiphers - } - preferredHashes := sig.PreferredHash - if len(preferredHashes) == 0 { - preferredHashes = defaultHashes - } - preferredAeadModes := sig.PreferredAEAD - if len(preferredAeadModes) == 0 { - preferredAeadModes = defaultAeadModes - } - preferredCompression := sig.PreferredCompression - if len(preferredCompression) == 0 { - preferredCompression = defaultCompression - } - candidateCiphers = intersectPreferences(candidateCiphers, preferredSymmetric) - candidateHashes = intersectPreferences(candidateHashes, preferredHashes) - candidateAeadModes = intersectPreferences(candidateAeadModes, preferredAeadModes) - candidateCompression = intersectPreferences(candidateCompression, preferredCompression) + candidateCiphers = intersectPreferences(candidateCiphers, sig.PreferredSymmetric) + candidateHashes = intersectPreferences(candidateHashes, sig.PreferredHash) + candidateCipherSuites = intersectCipherSuites(candidateCipherSuites, sig.PreferredCipherSuites) + candidateCompression = intersectPreferences(candidateCompression, sig.PreferredCompression) } - if len(candidateCiphers) == 0 || len(candidateHashes) == 0 || len(candidateAeadModes) == 0 { - return nil, errors.InvalidArgumentError("cannot encrypt because recipient set shares no common algorithms") + // In the event that the intersection of supported algorithms is empty we use the ones + // labelled as MUST that every implementation supports. + if len(candidateCiphers) == 0 { + // https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-9.3 + candidateCiphers = []uint8{uint8(packet.CipherAES128)} + } + if len(candidateHashes) == 0 { + // https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#hash-algos + candidateHashes = []uint8{hashToHashId(crypto.SHA256)} + } + if len(candidateCipherSuites) == 0 { + // https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-9.6 + candidateCipherSuites = [][2]uint8{{uint8(packet.CipherAES128), uint8(packet.AEADModeOCB)}} } cipher := packet.CipherFunction(candidateCiphers[0]) - mode := packet.AEADMode(candidateAeadModes[0]) + aeadCipherSuite := packet.CipherSuite{ + Cipher: packet.CipherFunction(candidateCipherSuites[0][0]), + Mode: packet.AEADMode(candidateCipherSuites[0][1]), + } + // If the cipher specified by config is a candidate, we'll use that. configuredCipher := config.Cipher() for _, c := range candidateCiphers { @@ -425,17 +434,11 @@ func encrypt(keyWriter io.Writer, dataWriter io.Writer, to []*Entity, signed *En } var payload io.WriteCloser - if config.AEAD() != nil && aeadSupported { - payload, err = packet.SerializeAEADEncrypted(dataWriter, symKey, cipher, mode, config) - if err != nil { - return - } - } else { - payload, err = packet.SerializeSymmetricallyEncrypted(dataWriter, cipher, symKey, config) - if err != nil { + payload, err = packet.SerializeSymmetricallyEncrypted(dataWriter, cipher, aeadSupported, aeadCipherSuite, symKey, config) + if err != nil { return } - } + payload, err = handleCompression(payload, candidateCompression, config) if err != nil { return nil, err @@ -458,8 +461,8 @@ func Sign(output io.Writer, signed *Entity, hints *FileHints, config *packet.Con hashToHashId(crypto.SHA256), hashToHashId(crypto.SHA384), hashToHashId(crypto.SHA512), - hashToHashId(crypto.SHA1), - hashToHashId(crypto.RIPEMD160), + hashToHashId(crypto.SHA3_256), + hashToHashId(crypto.SHA3_512), } defaultHashes := candidateHashes[0:1] preferredHashes := signed.PrimaryIdentity().SelfSignature.PreferredHash @@ -502,15 +505,9 @@ func (s signatureWriter) Write(data []byte) (int, error) { } func (s signatureWriter) Close() error { - sig := &packet.Signature{ - Version: s.signer.Version, - SigType: s.sigType, - PubKeyAlgo: s.signer.PubKeyAlgo, - Hash: s.hashType, - CreationTime: s.config.Now(), - IssuerKeyId: &s.signer.KeyId, - Metadata: s.metadata, - } + sig := createSignaturePacket(&s.signer.PublicKey, s.sigType, s.config) + sig.Hash = s.hashType + sig.Metadata = s.metadata if err := sig.Sign(s.h, s.signer, s.config); err != nil { return err @@ -524,6 +521,21 @@ func (s signatureWriter) Close() error { return s.encryptedData.Close() } +func createSignaturePacket(signer *packet.PublicKey, sigType packet.SignatureType, config *packet.Config) *packet.Signature { + sigLifetimeSecs := config.SigLifetime() + return &packet.Signature{ + Version: signer.Version, + SigType: sigType, + PubKeyAlgo: signer.PubKeyAlgo, + Hash: config.Hash(), + CreationTime: config.Now(), + IssuerKeyId: &signer.KeyId, + IssuerFingerprint: signer.Fingerprint, + Notations: config.Notations(), + SigLifetimeSecs: &sigLifetimeSecs, + } +} + // noOpCloser is like an ioutil.NopCloser, but for an io.Writer. // TODO: we have two of these in OpenPGP packages alone. This probably needs // to be promoted somewhere more common. @@ -545,6 +557,9 @@ func handleCompression(compressed io.WriteCloser, candidateCompression []uint8, if confAlgo == packet.CompressionNone { return } + + // Set algorithm labelled as MUST as fallback + // https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-9.4 finalAlgo := packet.CompressionNone // if compression specified by config available we will use it for _, c := range candidateCompression { diff --git a/vendor/github.com/acomagu/bufpipe/CREDITS b/vendor/github.com/acomagu/bufpipe/CREDITS new file mode 100644 index 0000000000..fb0d2b59a0 --- /dev/null +++ b/vendor/github.com/acomagu/bufpipe/CREDITS @@ -0,0 +1,60 @@ +Go (the standard library) +https://golang.org/ +---------------------------------------------------------------- +Copyright (c) 2009 The Go Authors. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above +copyright notice, this list of conditions and the following disclaimer +in the documentation and/or other materials provided with the +distribution. + * Neither the name of Google Inc. nor the names of its +contributors may be used to endorse or promote products derived from +this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +================================================================ + +github.com/matryer/is +https://github.com/matryer/is +---------------------------------------------------------------- +MIT License + +Copyright (c) 2017-2018 Mat Ryer + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. + +================================================================ + diff --git a/vendor/github.com/acomagu/bufpipe/LICENSE b/vendor/github.com/acomagu/bufpipe/LICENSE new file mode 100644 index 0000000000..1b5f21cd24 --- /dev/null +++ b/vendor/github.com/acomagu/bufpipe/LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2019 acomagu + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/vendor/github.com/acomagu/bufpipe/README.md b/vendor/github.com/acomagu/bufpipe/README.md index 19df083142..136ee01db1 100644 --- a/vendor/github.com/acomagu/bufpipe/README.md +++ b/vendor/github.com/acomagu/bufpipe/README.md @@ -40,3 +40,13 @@ w.Close() ``` [Playground](https://play.golang.org/p/UppmyLeRgX6) + +## Contribution + +### Generate CREDITS + +The [CREDITS](./CREDITS) file are generated by [gocredits](https://github.com/Songmu/gocredits). Update it when the dependencies are changed. + +``` +$ gocredits > CREDITS +``` diff --git a/vendor/github.com/acomagu/bufpipe/bufpipe.go b/vendor/github.com/acomagu/bufpipe/bufpipe.go index 846dbcc290..34882ea080 100644 --- a/vendor/github.com/acomagu/bufpipe/bufpipe.go +++ b/vendor/github.com/acomagu/bufpipe/bufpipe.go @@ -124,5 +124,6 @@ func (w *PipeWriter) CloseWithError(err error) error { err = io.EOF } w.rerr = err + w.cond.Broadcast() return nil } diff --git a/vendor/github.com/cloudflare/circl/LICENSE b/vendor/github.com/cloudflare/circl/LICENSE new file mode 100644 index 0000000000..67edaa90a0 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/LICENSE @@ -0,0 +1,57 @@ +Copyright (c) 2019 Cloudflare. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above +copyright notice, this list of conditions and the following disclaimer +in the documentation and/or other materials provided with the +distribution. + * Neither the name of Cloudflare nor the names of its +contributors may be used to endorse or promote products derived from +this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +======================================================================== + +Copyright (c) 2009 The Go Authors. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above +copyright notice, this list of conditions and the following disclaimer +in the documentation and/or other materials provided with the +distribution. + * Neither the name of Google Inc. nor the names of its +contributors may be used to endorse or promote products derived from +this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/vendor/github.com/cloudflare/circl/dh/x25519/curve.go b/vendor/github.com/cloudflare/circl/dh/x25519/curve.go new file mode 100644 index 0000000000..f9057c2b86 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x25519/curve.go @@ -0,0 +1,96 @@ +package x25519 + +import ( + fp "github.com/cloudflare/circl/math/fp25519" +) + +// ladderJoye calculates a fixed-point multiplication with the generator point. +// The algorithm is the right-to-left Joye's ladder as described +// in "How to precompute a ladder" in SAC'2017. +func ladderJoye(k *Key) { + w := [5]fp.Elt{} // [mu,x1,z1,x2,z2] order must be preserved. + fp.SetOne(&w[1]) // x1 = 1 + fp.SetOne(&w[2]) // z1 = 1 + w[3] = fp.Elt{ // x2 = G-S + 0xbd, 0xaa, 0x2f, 0xc8, 0xfe, 0xe1, 0x94, 0x7e, + 0xf8, 0xed, 0xb2, 0x14, 0xae, 0x95, 0xf0, 0xbb, + 0xe2, 0x48, 0x5d, 0x23, 0xb9, 0xa0, 0xc7, 0xad, + 0x34, 0xab, 0x7c, 0xe2, 0xee, 0xcd, 0xae, 0x1e, + } + fp.SetOne(&w[4]) // z2 = 1 + + const n = 255 + const h = 3 + swap := uint(1) + for s := 0; s < n-h; s++ { + i := (s + h) / 8 + j := (s + h) % 8 + bit := uint((k[i] >> uint(j)) & 1) + copy(w[0][:], tableGenerator[s*Size:(s+1)*Size]) + diffAdd(&w, swap^bit) + swap = bit + } + for s := 0; s < h; s++ { + double(&w[1], &w[2]) + } + toAffine((*[fp.Size]byte)(k), &w[1], &w[2]) +} + +// ladderMontgomery calculates a generic scalar point multiplication +// The algorithm implemented is the left-to-right Montgomery's ladder. +func ladderMontgomery(k, xP *Key) { + w := [5]fp.Elt{} // [x1, x2, z2, x3, z3] order must be preserved. + w[0] = *(*fp.Elt)(xP) // x1 = xP + fp.SetOne(&w[1]) // x2 = 1 + w[3] = *(*fp.Elt)(xP) // x3 = xP + fp.SetOne(&w[4]) // z3 = 1 + + move := uint(0) + for s := 255 - 1; s >= 0; s-- { + i := s / 8 + j := s % 8 + bit := uint((k[i] >> uint(j)) & 1) + ladderStep(&w, move^bit) + move = bit + } + toAffine((*[fp.Size]byte)(k), &w[1], &w[2]) +} + +func toAffine(k *[fp.Size]byte, x, z *fp.Elt) { + fp.Inv(z, z) + fp.Mul(x, x, z) + _ = fp.ToBytes(k[:], x) +} + +var lowOrderPoints = [5]fp.Elt{ + { /* (0,_,1) point of order 2 on Curve25519 */ + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }, + { /* (1,_,1) point of order 4 on Curve25519 */ + 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }, + { /* (x,_,1) first point of order 8 on Curve25519 */ + 0xe0, 0xeb, 0x7a, 0x7c, 0x3b, 0x41, 0xb8, 0xae, + 0x16, 0x56, 0xe3, 0xfa, 0xf1, 0x9f, 0xc4, 0x6a, + 0xda, 0x09, 0x8d, 0xeb, 0x9c, 0x32, 0xb1, 0xfd, + 0x86, 0x62, 0x05, 0x16, 0x5f, 0x49, 0xb8, 0x00, + }, + { /* (x,_,1) second point of order 8 on Curve25519 */ + 0x5f, 0x9c, 0x95, 0xbc, 0xa3, 0x50, 0x8c, 0x24, + 0xb1, 0xd0, 0xb1, 0x55, 0x9c, 0x83, 0xef, 0x5b, + 0x04, 0x44, 0x5c, 0xc4, 0x58, 0x1c, 0x8e, 0x86, + 0xd8, 0x22, 0x4e, 0xdd, 0xd0, 0x9f, 0x11, 0x57, + }, + { /* (-1,_,1) a point of order 4 on the twist of Curve25519 */ + 0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, + }, +} diff --git a/vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.go b/vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.go new file mode 100644 index 0000000000..2fe9f59c2a --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.go @@ -0,0 +1,31 @@ +//go:build amd64 && !purego +// +build amd64,!purego + +package x25519 + +import ( + "golang.org/x/sys/cpu" + + fp "github.com/cloudflare/circl/math/fp25519" +) + +var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX + +var _ = hasBmi2Adx + +func double(x, z *fp.Elt) { doubleAmd64(x, z) } +func diffAdd(w *[5]fp.Elt, b uint) { diffAddAmd64(w, b) } +func ladderStep(w *[5]fp.Elt, b uint) { ladderStepAmd64(w, b) } +func mulA24(z, x *fp.Elt) { mulA24Amd64(z, x) } + +//go:noescape +func ladderStepAmd64(w *[5]fp.Elt, b uint) + +//go:noescape +func diffAddAmd64(w *[5]fp.Elt, b uint) + +//go:noescape +func doubleAmd64(x, z *fp.Elt) + +//go:noescape +func mulA24Amd64(z, x *fp.Elt) diff --git a/vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.h b/vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.h new file mode 100644 index 0000000000..8c1ae4d0fb --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.h @@ -0,0 +1,111 @@ +#define ladderStepLeg \ + addSub(x2,z2) \ + addSub(x3,z3) \ + integerMulLeg(b0,x2,z3) \ + integerMulLeg(b1,x3,z2) \ + reduceFromDoubleLeg(t0,b0) \ + reduceFromDoubleLeg(t1,b1) \ + addSub(t0,t1) \ + cselect(x2,x3,regMove) \ + cselect(z2,z3,regMove) \ + integerSqrLeg(b0,t0) \ + integerSqrLeg(b1,t1) \ + reduceFromDoubleLeg(x3,b0) \ + reduceFromDoubleLeg(z3,b1) \ + integerMulLeg(b0,x1,z3) \ + reduceFromDoubleLeg(z3,b0) \ + integerSqrLeg(b0,x2) \ + integerSqrLeg(b1,z2) \ + reduceFromDoubleLeg(x2,b0) \ + reduceFromDoubleLeg(z2,b1) \ + subtraction(t0,x2,z2) \ + multiplyA24Leg(t1,t0) \ + additionLeg(t1,t1,z2) \ + integerMulLeg(b0,x2,z2) \ + integerMulLeg(b1,t0,t1) \ + reduceFromDoubleLeg(x2,b0) \ + reduceFromDoubleLeg(z2,b1) + +#define ladderStepBmi2Adx \ + addSub(x2,z2) \ + addSub(x3,z3) \ + integerMulAdx(b0,x2,z3) \ + integerMulAdx(b1,x3,z2) \ + reduceFromDoubleAdx(t0,b0) \ + reduceFromDoubleAdx(t1,b1) \ + addSub(t0,t1) \ + cselect(x2,x3,regMove) \ + cselect(z2,z3,regMove) \ + integerSqrAdx(b0,t0) \ + integerSqrAdx(b1,t1) \ + reduceFromDoubleAdx(x3,b0) \ + reduceFromDoubleAdx(z3,b1) \ + integerMulAdx(b0,x1,z3) \ + reduceFromDoubleAdx(z3,b0) \ + integerSqrAdx(b0,x2) \ + integerSqrAdx(b1,z2) \ + reduceFromDoubleAdx(x2,b0) \ + reduceFromDoubleAdx(z2,b1) \ + subtraction(t0,x2,z2) \ + multiplyA24Adx(t1,t0) \ + additionAdx(t1,t1,z2) \ + integerMulAdx(b0,x2,z2) \ + integerMulAdx(b1,t0,t1) \ + reduceFromDoubleAdx(x2,b0) \ + reduceFromDoubleAdx(z2,b1) + +#define difAddLeg \ + addSub(x1,z1) \ + integerMulLeg(b0,z1,ui) \ + reduceFromDoubleLeg(z1,b0) \ + addSub(x1,z1) \ + integerSqrLeg(b0,x1) \ + integerSqrLeg(b1,z1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) \ + integerMulLeg(b0,x1,z2) \ + integerMulLeg(b1,z1,x2) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) + +#define difAddBmi2Adx \ + addSub(x1,z1) \ + integerMulAdx(b0,z1,ui) \ + reduceFromDoubleAdx(z1,b0) \ + addSub(x1,z1) \ + integerSqrAdx(b0,x1) \ + integerSqrAdx(b1,z1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) \ + integerMulAdx(b0,x1,z2) \ + integerMulAdx(b1,z1,x2) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) + +#define doubleLeg \ + addSub(x1,z1) \ + integerSqrLeg(b0,x1) \ + integerSqrLeg(b1,z1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) \ + subtraction(t0,x1,z1) \ + multiplyA24Leg(t1,t0) \ + additionLeg(t1,t1,z1) \ + integerMulLeg(b0,x1,z1) \ + integerMulLeg(b1,t0,t1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) + +#define doubleBmi2Adx \ + addSub(x1,z1) \ + integerSqrAdx(b0,x1) \ + integerSqrAdx(b1,z1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) \ + subtraction(t0,x1,z1) \ + multiplyA24Adx(t1,t0) \ + additionAdx(t1,t1,z1) \ + integerMulAdx(b0,x1,z1) \ + integerMulAdx(b1,t0,t1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) diff --git a/vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.s b/vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.s new file mode 100644 index 0000000000..b7723185b6 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.s @@ -0,0 +1,156 @@ +// +build amd64 + +#include "textflag.h" + +// Depends on circl/math/fp25519 package +#include "../../math/fp25519/fp_amd64.h" +#include "curve_amd64.h" + +// CTE_A24 is (A+2)/4 from Curve25519 +#define CTE_A24 121666 + +#define Size 32 + +// multiplyA24Leg multiplies x times CTE_A24 and stores in z +// Uses: AX, DX, R8-R13, FLAGS +// Instr: x86_64, cmov +#define multiplyA24Leg(z,x) \ + MOVL $CTE_A24, AX; MULQ 0+x; MOVQ AX, R8; MOVQ DX, R9; \ + MOVL $CTE_A24, AX; MULQ 8+x; MOVQ AX, R12; MOVQ DX, R10; \ + MOVL $CTE_A24, AX; MULQ 16+x; MOVQ AX, R13; MOVQ DX, R11; \ + MOVL $CTE_A24, AX; MULQ 24+x; \ + ADDQ R12, R9; \ + ADCQ R13, R10; \ + ADCQ AX, R11; \ + ADCQ $0, DX; \ + MOVL $38, AX; /* 2*C = 38 = 2^256 MOD 2^255-19*/ \ + IMULQ AX, DX; \ + ADDQ DX, R8; \ + ADCQ $0, R9; MOVQ R9, 8+z; \ + ADCQ $0, R10; MOVQ R10, 16+z; \ + ADCQ $0, R11; MOVQ R11, 24+z; \ + MOVQ $0, DX; \ + CMOVQCS AX, DX; \ + ADDQ DX, R8; MOVQ R8, 0+z; + +// multiplyA24Adx multiplies x times CTE_A24 and stores in z +// Uses: AX, DX, R8-R12, FLAGS +// Instr: x86_64, cmov, bmi2 +#define multiplyA24Adx(z,x) \ + MOVQ $CTE_A24, DX; \ + MULXQ 0+x, R8, R10; \ + MULXQ 8+x, R9, R11; ADDQ R10, R9; \ + MULXQ 16+x, R10, AX; ADCQ R11, R10; \ + MULXQ 24+x, R11, R12; ADCQ AX, R11; \ + ;;;;;;;;;;;;;;;;;;;;; ADCQ $0, R12; \ + MOVL $38, DX; /* 2*C = 38 = 2^256 MOD 2^255-19*/ \ + IMULQ DX, R12; \ + ADDQ R12, R8; \ + ADCQ $0, R9; MOVQ R9, 8+z; \ + ADCQ $0, R10; MOVQ R10, 16+z; \ + ADCQ $0, R11; MOVQ R11, 24+z; \ + MOVQ $0, R12; \ + CMOVQCS DX, R12; \ + ADDQ R12, R8; MOVQ R8, 0+z; + +#define mulA24Legacy \ + multiplyA24Leg(0(DI),0(SI)) +#define mulA24Bmi2Adx \ + multiplyA24Adx(0(DI),0(SI)) + +// func mulA24Amd64(z, x *fp255.Elt) +TEXT ·mulA24Amd64(SB),NOSPLIT,$0-16 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + CHECK_BMI2ADX(LMA24, mulA24Legacy, mulA24Bmi2Adx) + + +// func ladderStepAmd64(w *[5]fp255.Elt, b uint) +// ladderStepAmd64 calculates a point addition and doubling as follows: +// (x2,z2) = 2*(x2,z2) and (x3,z3) = (x2,z2)+(x3,z3) using as a difference (x1,-). +// work = (x1,x2,z2,x3,z3) are five fp255.Elt of 32 bytes. +// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and +// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +TEXT ·ladderStepAmd64(SB),NOSPLIT,$192-16 + // Parameters + #define regWork DI + #define regMove SI + #define x1 0*Size(regWork) + #define x2 1*Size(regWork) + #define z2 2*Size(regWork) + #define x3 3*Size(regWork) + #define z3 4*Size(regWork) + // Local variables + #define t0 0*Size(SP) + #define t1 1*Size(SP) + #define b0 2*Size(SP) + #define b1 4*Size(SP) + MOVQ w+0(FP), regWork + MOVQ b+8(FP), regMove + CHECK_BMI2ADX(LLADSTEP, ladderStepLeg, ladderStepBmi2Adx) + #undef regWork + #undef regMove + #undef x1 + #undef x2 + #undef z2 + #undef x3 + #undef z3 + #undef t0 + #undef t1 + #undef b0 + #undef b1 + +// func diffAddAmd64(w *[5]fp255.Elt, b uint) +// diffAddAmd64 calculates a differential point addition using a precomputed point. +// (x1,z1) = (x1,z1)+(mu) using a difference point (x2,z2) +// w = (mu,x1,z1,x2,z2) are five fp.Elt, and +// stack = (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +TEXT ·diffAddAmd64(SB),NOSPLIT,$128-16 + // Parameters + #define regWork DI + #define regSwap SI + #define ui 0*Size(regWork) + #define x1 1*Size(regWork) + #define z1 2*Size(regWork) + #define x2 3*Size(regWork) + #define z2 4*Size(regWork) + // Local variables + #define b0 0*Size(SP) + #define b1 2*Size(SP) + MOVQ w+0(FP), regWork + MOVQ b+8(FP), regSwap + cswap(x1,x2,regSwap) + cswap(z1,z2,regSwap) + CHECK_BMI2ADX(LDIFADD, difAddLeg, difAddBmi2Adx) + #undef regWork + #undef regSwap + #undef ui + #undef x1 + #undef z1 + #undef x2 + #undef z2 + #undef b0 + #undef b1 + +// func doubleAmd64(x, z *fp255.Elt) +// doubleAmd64 calculates a point doubling (x1,z1) = 2*(x1,z1). +// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and +// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +TEXT ·doubleAmd64(SB),NOSPLIT,$192-16 + // Parameters + #define x1 0(DI) + #define z1 0(SI) + // Local variables + #define t0 0*Size(SP) + #define t1 1*Size(SP) + #define b0 2*Size(SP) + #define b1 4*Size(SP) + MOVQ x+0(FP), DI + MOVQ z+8(FP), SI + CHECK_BMI2ADX(LDOUB,doubleLeg,doubleBmi2Adx) + #undef x1 + #undef z1 + #undef t0 + #undef t1 + #undef b0 + #undef b1 diff --git a/vendor/github.com/cloudflare/circl/dh/x25519/curve_generic.go b/vendor/github.com/cloudflare/circl/dh/x25519/curve_generic.go new file mode 100644 index 0000000000..dae67ea37d --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x25519/curve_generic.go @@ -0,0 +1,85 @@ +package x25519 + +import ( + "encoding/binary" + "math/bits" + + fp "github.com/cloudflare/circl/math/fp25519" +) + +func doubleGeneric(x, z *fp.Elt) { + t0, t1 := &fp.Elt{}, &fp.Elt{} + fp.AddSub(x, z) + fp.Sqr(x, x) + fp.Sqr(z, z) + fp.Sub(t0, x, z) + mulA24Generic(t1, t0) + fp.Add(t1, t1, z) + fp.Mul(x, x, z) + fp.Mul(z, t0, t1) +} + +func diffAddGeneric(w *[5]fp.Elt, b uint) { + mu, x1, z1, x2, z2 := &w[0], &w[1], &w[2], &w[3], &w[4] + fp.Cswap(x1, x2, b) + fp.Cswap(z1, z2, b) + fp.AddSub(x1, z1) + fp.Mul(z1, z1, mu) + fp.AddSub(x1, z1) + fp.Sqr(x1, x1) + fp.Sqr(z1, z1) + fp.Mul(x1, x1, z2) + fp.Mul(z1, z1, x2) +} + +func ladderStepGeneric(w *[5]fp.Elt, b uint) { + x1, x2, z2, x3, z3 := &w[0], &w[1], &w[2], &w[3], &w[4] + t0 := &fp.Elt{} + t1 := &fp.Elt{} + fp.AddSub(x2, z2) + fp.AddSub(x3, z3) + fp.Mul(t0, x2, z3) + fp.Mul(t1, x3, z2) + fp.AddSub(t0, t1) + fp.Cmov(x2, x3, b) + fp.Cmov(z2, z3, b) + fp.Sqr(x3, t0) + fp.Sqr(z3, t1) + fp.Mul(z3, x1, z3) + fp.Sqr(x2, x2) + fp.Sqr(z2, z2) + fp.Sub(t0, x2, z2) + mulA24Generic(t1, t0) + fp.Add(t1, t1, z2) + fp.Mul(x2, x2, z2) + fp.Mul(z2, t0, t1) +} + +func mulA24Generic(z, x *fp.Elt) { + const A24 = 121666 + const n = 8 + var xx [4]uint64 + for i := range xx { + xx[i] = binary.LittleEndian.Uint64(x[i*n : (i+1)*n]) + } + + h0, l0 := bits.Mul64(xx[0], A24) + h1, l1 := bits.Mul64(xx[1], A24) + h2, l2 := bits.Mul64(xx[2], A24) + h3, l3 := bits.Mul64(xx[3], A24) + + var c3 uint64 + l1, c0 := bits.Add64(h0, l1, 0) + l2, c1 := bits.Add64(h1, l2, c0) + l3, c2 := bits.Add64(h2, l3, c1) + l4, _ := bits.Add64(h3, 0, c2) + _, l4 = bits.Mul64(l4, 38) + l0, c0 = bits.Add64(l0, l4, 0) + xx[1], c1 = bits.Add64(l1, 0, c0) + xx[2], c2 = bits.Add64(l2, 0, c1) + xx[3], c3 = bits.Add64(l3, 0, c2) + xx[0], _ = bits.Add64(l0, (-c3)&38, 0) + for i := range xx { + binary.LittleEndian.PutUint64(z[i*n:(i+1)*n], xx[i]) + } +} diff --git a/vendor/github.com/cloudflare/circl/dh/x25519/curve_noasm.go b/vendor/github.com/cloudflare/circl/dh/x25519/curve_noasm.go new file mode 100644 index 0000000000..07fab97d2a --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x25519/curve_noasm.go @@ -0,0 +1,11 @@ +//go:build !amd64 || purego +// +build !amd64 purego + +package x25519 + +import fp "github.com/cloudflare/circl/math/fp25519" + +func double(x, z *fp.Elt) { doubleGeneric(x, z) } +func diffAdd(w *[5]fp.Elt, b uint) { diffAddGeneric(w, b) } +func ladderStep(w *[5]fp.Elt, b uint) { ladderStepGeneric(w, b) } +func mulA24(z, x *fp.Elt) { mulA24Generic(z, x) } diff --git a/vendor/github.com/cloudflare/circl/dh/x25519/doc.go b/vendor/github.com/cloudflare/circl/dh/x25519/doc.go new file mode 100644 index 0000000000..e8feed5694 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x25519/doc.go @@ -0,0 +1,20 @@ +/* +Package x25519 provides Diffie-Hellman functions as specified in RFC-7748. + +Validation of public keys. + +The Diffie-Hellman function, as described in RFC-7748 [1], works for any +public key. However, if a different protocol requires contributory +behaviour [2,3], then the public keys must be validated against low-order +points [3,4]. To do that, the Shared function performs this validation +internally and returns false when the public key is invalid (i.e., it +is a low-order point). + +References: + - [1] RFC7748 by Langley, Hamburg, Turner (https://rfc-editor.org/rfc/rfc7748.txt) + - [2] Curve25519 by Bernstein (https://cr.yp.to/ecdh.html) + - [3] Bernstein (https://cr.yp.to/ecdh.html#validate) + - [4] Cremers&Jackson (https://eprint.iacr.org/2019/526) + +*/ +package x25519 diff --git a/vendor/github.com/cloudflare/circl/dh/x25519/key.go b/vendor/github.com/cloudflare/circl/dh/x25519/key.go new file mode 100644 index 0000000000..bbd37ddd09 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x25519/key.go @@ -0,0 +1,47 @@ +package x25519 + +import ( + "crypto/subtle" + + fp "github.com/cloudflare/circl/math/fp25519" +) + +// Size is the length in bytes of a X25519 key. +const Size = 32 + +// Key represents a X25519 key. +type Key [Size]byte + +func (k *Key) clamp(in *Key) *Key { + *k = *in + k[0] &= 248 + k[31] = (k[31] & 127) | 64 + return k +} + +// isValidPubKey verifies if the public key is not a low-order point. +func (k *Key) isValidPubKey() bool { + fp.Modp((*fp.Elt)(k)) + isLowOrder := false + for _, P := range lowOrderPoints { + isLowOrder = isLowOrder || subtle.ConstantTimeCompare(P[:], k[:]) != 0 + } + return !isLowOrder +} + +// KeyGen obtains a public key given a secret key. +func KeyGen(public, secret *Key) { + ladderJoye(public.clamp(secret)) +} + +// Shared calculates Alice's shared key from Alice's secret key and Bob's +// public key returning true on success. A failure case happens when the public +// key is a low-order point, thus the shared key is all-zeros and the function +// returns false. +func Shared(shared, secret, public *Key) bool { + validPk := *public + validPk[31] &= (1 << (255 % 8)) - 1 + ok := validPk.isValidPubKey() + ladderMontgomery(shared.clamp(secret), &validPk) + return ok +} diff --git a/vendor/github.com/cloudflare/circl/dh/x25519/table.go b/vendor/github.com/cloudflare/circl/dh/x25519/table.go new file mode 100644 index 0000000000..30927e7b7b --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x25519/table.go @@ -0,0 +1,266 @@ +package x25519 + +import "github.com/cloudflare/circl/math/fp25519" + +// tableGenerator contains the set of points: +// t[i] = (xi+1)/(xi-1), +// where (xi,yi) = 2^iG and G is the generator point +// Size = (256)*(256/8) = 8192 bytes. +var tableGenerator = [256 * fp25519.Size]byte{ + /* (2^ 0)P */ 0xf3, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x5f, + /* (2^ 1)P */ 0x96, 0xfe, 0xaa, 0x16, 0xf4, 0x20, 0x82, 0x6b, 0x34, 0x6a, 0x56, 0x4f, 0x2b, 0xeb, 0xeb, 0x82, 0x0f, 0x95, 0xa5, 0x75, 0xb0, 0xa5, 0xa9, 0xd5, 0xf4, 0x88, 0x24, 0x4b, 0xcf, 0xb2, 0x42, 0x51, + /* (2^ 2)P */ 0x0c, 0x68, 0x69, 0x00, 0x75, 0xbc, 0xae, 0x6a, 0x41, 0x9c, 0xf9, 0xa0, 0x20, 0x78, 0xcf, 0x89, 0xf4, 0xd0, 0x56, 0x3b, 0x18, 0xd9, 0x58, 0x2a, 0xa4, 0x11, 0x60, 0xe3, 0x80, 0xca, 0x5a, 0x4b, + /* (2^ 3)P */ 0x5d, 0x74, 0x29, 0x8c, 0x34, 0x32, 0x91, 0x32, 0xd7, 0x2f, 0x64, 0xe1, 0x16, 0xe6, 0xa2, 0xf4, 0x34, 0xbc, 0x67, 0xff, 0x03, 0xbb, 0x45, 0x1e, 0x4a, 0x9b, 0x2a, 0xf4, 0xd0, 0x12, 0x69, 0x30, + /* (2^ 4)P */ 0x54, 0x71, 0xaf, 0xe6, 0x07, 0x65, 0x88, 0xff, 0x2f, 0xc8, 0xee, 0xdf, 0x13, 0x0e, 0xf5, 0x04, 0xce, 0xb5, 0xba, 0x2a, 0xe8, 0x2f, 0x51, 0xaa, 0x22, 0xf2, 0xd5, 0x68, 0x1a, 0x25, 0x4e, 0x17, + /* (2^ 5)P */ 0x98, 0x88, 0x02, 0x82, 0x0d, 0x70, 0x96, 0xcf, 0xc5, 0x02, 0x2c, 0x0a, 0x37, 0xe3, 0x43, 0x17, 0xaa, 0x6e, 0xe8, 0xb4, 0x98, 0xec, 0x9e, 0x37, 0x2e, 0x48, 0xe0, 0x51, 0x8a, 0x88, 0x59, 0x0c, + /* (2^ 6)P */ 0x89, 0xd1, 0xb5, 0x99, 0xd6, 0xf1, 0xcb, 0xfb, 0x84, 0xdc, 0x9f, 0x8e, 0xd5, 0xf0, 0xae, 0xac, 0x14, 0x76, 0x1f, 0x23, 0x06, 0x0d, 0xc2, 0xc1, 0x72, 0xf9, 0x74, 0xa2, 0x8d, 0x21, 0x38, 0x29, + /* (2^ 7)P */ 0x18, 0x7f, 0x1d, 0xff, 0xbe, 0x49, 0xaf, 0xf6, 0xc2, 0xc9, 0x7a, 0x38, 0x22, 0x1c, 0x54, 0xcc, 0x6b, 0xc5, 0x15, 0x40, 0xef, 0xc9, 0xfc, 0x96, 0xa9, 0x13, 0x09, 0x69, 0x7c, 0x62, 0xc1, 0x69, + /* (2^ 8)P */ 0x0e, 0xdb, 0x33, 0x47, 0x2f, 0xfd, 0x86, 0x7a, 0xe9, 0x7d, 0x08, 0x9e, 0xf2, 0xc4, 0xb8, 0xfd, 0x29, 0xa2, 0xa2, 0x8e, 0x1a, 0x4b, 0x5e, 0x09, 0x79, 0x7a, 0xb3, 0x29, 0xc8, 0xa7, 0xd7, 0x1a, + /* (2^ 9)P */ 0xc0, 0xa0, 0x7e, 0xd1, 0xca, 0x89, 0x2d, 0x34, 0x51, 0x20, 0xed, 0xcc, 0xa6, 0xdd, 0xbe, 0x67, 0x74, 0x2f, 0xb4, 0x2b, 0xbf, 0x31, 0xca, 0x19, 0xbb, 0xac, 0x80, 0x49, 0xc8, 0xb4, 0xf7, 0x3d, + /* (2^ 10)P */ 0x83, 0xd8, 0x0a, 0xc8, 0x4d, 0x44, 0xc6, 0xa8, 0x85, 0xab, 0xe3, 0x66, 0x03, 0x44, 0x1e, 0xb9, 0xd8, 0xf6, 0x64, 0x01, 0xa0, 0xcd, 0x15, 0xc2, 0x68, 0xe6, 0x47, 0xf2, 0x6e, 0x7c, 0x86, 0x3d, + /* (2^ 11)P */ 0x8c, 0x65, 0x3e, 0xcc, 0x2b, 0x58, 0xdd, 0xc7, 0x28, 0x55, 0x0e, 0xee, 0x48, 0x47, 0x2c, 0xfd, 0x71, 0x4f, 0x9f, 0xcc, 0x95, 0x9b, 0xfd, 0xa0, 0xdf, 0x5d, 0x67, 0xb0, 0x71, 0xd8, 0x29, 0x75, + /* (2^ 12)P */ 0x78, 0xbd, 0x3c, 0x2d, 0xb4, 0x68, 0xf5, 0xb8, 0x82, 0xda, 0xf3, 0x91, 0x1b, 0x01, 0x33, 0x12, 0x62, 0x3b, 0x7c, 0x4a, 0xcd, 0x6c, 0xce, 0x2d, 0x03, 0x86, 0x49, 0x9e, 0x8e, 0xfc, 0xe7, 0x75, + /* (2^ 13)P */ 0xec, 0xb6, 0xd0, 0xfc, 0xf1, 0x13, 0x4f, 0x2f, 0x45, 0x7a, 0xff, 0x29, 0x1f, 0xca, 0xa8, 0xf1, 0x9b, 0xe2, 0x81, 0x29, 0xa7, 0xc1, 0x49, 0xc2, 0x6a, 0xb5, 0x83, 0x8c, 0xbb, 0x0d, 0xbe, 0x6e, + /* (2^ 14)P */ 0x22, 0xb2, 0x0b, 0x17, 0x8d, 0xfa, 0x14, 0x71, 0x5f, 0x93, 0x93, 0xbf, 0xd5, 0xdc, 0xa2, 0x65, 0x9a, 0x97, 0x9c, 0xb5, 0x68, 0x1f, 0xc4, 0xbd, 0x89, 0x92, 0xce, 0xa2, 0x79, 0xef, 0x0e, 0x2f, + /* (2^ 15)P */ 0xce, 0x37, 0x3c, 0x08, 0x0c, 0xbf, 0xec, 0x42, 0x22, 0x63, 0x49, 0xec, 0x09, 0xbc, 0x30, 0x29, 0x0d, 0xac, 0xfe, 0x9c, 0xc1, 0xb0, 0x94, 0xf2, 0x80, 0xbb, 0xfa, 0xed, 0x4b, 0xaa, 0x80, 0x37, + /* (2^ 16)P */ 0x29, 0xd9, 0xea, 0x7c, 0x3e, 0x7d, 0xc1, 0x56, 0xc5, 0x22, 0x57, 0x2e, 0xeb, 0x4b, 0xcb, 0xe7, 0x5a, 0xe1, 0xbf, 0x2d, 0x73, 0x31, 0xe9, 0x0c, 0xf8, 0x52, 0x10, 0x62, 0xc7, 0x83, 0xb8, 0x41, + /* (2^ 17)P */ 0x50, 0x53, 0xd2, 0xc3, 0xa0, 0x5c, 0xf7, 0xdb, 0x51, 0xe3, 0xb1, 0x6e, 0x08, 0xbe, 0x36, 0x29, 0x12, 0xb2, 0xa9, 0xb4, 0x3c, 0xe0, 0x36, 0xc9, 0xaa, 0x25, 0x22, 0x32, 0x82, 0xbf, 0x45, 0x1d, + /* (2^ 18)P */ 0xc5, 0x4c, 0x02, 0x6a, 0x03, 0xb1, 0x1a, 0xe8, 0x72, 0x9a, 0x4c, 0x30, 0x1c, 0x20, 0x12, 0xe2, 0xfc, 0xb1, 0x32, 0x68, 0xba, 0x3f, 0xd7, 0xc5, 0x81, 0x95, 0x83, 0x4d, 0x5a, 0xdb, 0xff, 0x20, + /* (2^ 19)P */ 0xad, 0x0f, 0x5d, 0xbe, 0x67, 0xd3, 0x83, 0xa2, 0x75, 0x44, 0x16, 0x8b, 0xca, 0x25, 0x2b, 0x6c, 0x2e, 0xf2, 0xaa, 0x7c, 0x46, 0x35, 0x49, 0x9d, 0x49, 0xff, 0x85, 0xee, 0x8e, 0x40, 0x66, 0x51, + /* (2^ 20)P */ 0x61, 0xe3, 0xb4, 0xfa, 0xa2, 0xba, 0x67, 0x3c, 0xef, 0x5c, 0xf3, 0x7e, 0xc6, 0x33, 0xe4, 0xb3, 0x1c, 0x9b, 0x15, 0x41, 0x92, 0x72, 0x59, 0x52, 0x33, 0xab, 0xb0, 0xd5, 0x92, 0x18, 0x62, 0x6a, + /* (2^ 21)P */ 0xcb, 0xcd, 0x55, 0x75, 0x38, 0x4a, 0xb7, 0x20, 0x3f, 0x92, 0x08, 0x12, 0x0e, 0xa1, 0x2a, 0x53, 0xd1, 0x1d, 0x28, 0x62, 0x77, 0x7b, 0xa1, 0xea, 0xbf, 0x44, 0x5c, 0xf0, 0x43, 0x34, 0xab, 0x61, + /* (2^ 22)P */ 0xf8, 0xde, 0x24, 0x23, 0x42, 0x6c, 0x7a, 0x25, 0x7f, 0xcf, 0xe3, 0x17, 0x10, 0x6c, 0x1c, 0x13, 0x57, 0xa2, 0x30, 0xf6, 0x39, 0x87, 0x75, 0x23, 0x80, 0x85, 0xa7, 0x01, 0x7a, 0x40, 0x5a, 0x29, + /* (2^ 23)P */ 0xd9, 0xa8, 0x5d, 0x6d, 0x24, 0x43, 0xc4, 0xf8, 0x5d, 0xfa, 0x52, 0x0c, 0x45, 0x75, 0xd7, 0x19, 0x3d, 0xf8, 0x1b, 0x73, 0x92, 0xfc, 0xfc, 0x2a, 0x00, 0x47, 0x2b, 0x1b, 0xe8, 0xc8, 0x10, 0x7d, + /* (2^ 24)P */ 0x0b, 0xa2, 0xba, 0x70, 0x1f, 0x27, 0xe0, 0xc8, 0x57, 0x39, 0xa6, 0x7c, 0x86, 0x48, 0x37, 0x99, 0xbb, 0xd4, 0x7e, 0xcb, 0xb3, 0xef, 0x12, 0x54, 0x75, 0x29, 0xe6, 0x73, 0x61, 0xd3, 0x96, 0x31, + /* (2^ 25)P */ 0xfc, 0xdf, 0xc7, 0x41, 0xd1, 0xca, 0x5b, 0xde, 0x48, 0xc8, 0x95, 0xb3, 0xd2, 0x8c, 0xcc, 0x47, 0xcb, 0xf3, 0x1a, 0xe1, 0x42, 0xd9, 0x4c, 0xa3, 0xc2, 0xce, 0x4e, 0xd0, 0xf2, 0xdb, 0x56, 0x02, + /* (2^ 26)P */ 0x7f, 0x66, 0x0e, 0x4b, 0xe9, 0xb7, 0x5a, 0x87, 0x10, 0x0d, 0x85, 0xc0, 0x83, 0xdd, 0xd4, 0xca, 0x9f, 0xc7, 0x72, 0x4e, 0x8f, 0x2e, 0xf1, 0x47, 0x9b, 0xb1, 0x85, 0x8c, 0xbb, 0x87, 0x1a, 0x5f, + /* (2^ 27)P */ 0xb8, 0x51, 0x7f, 0x43, 0xb6, 0xd0, 0xe9, 0x7a, 0x65, 0x90, 0x87, 0x18, 0x55, 0xce, 0xc7, 0x12, 0xee, 0x7a, 0xf7, 0x5c, 0xfe, 0x09, 0xde, 0x2a, 0x27, 0x56, 0x2c, 0x7d, 0x2f, 0x5a, 0xa0, 0x23, + /* (2^ 28)P */ 0x9a, 0x16, 0x7c, 0xf1, 0x28, 0xe1, 0x08, 0x59, 0x2d, 0x85, 0xd0, 0x8a, 0xdd, 0x98, 0x74, 0xf7, 0x64, 0x2f, 0x10, 0xab, 0xce, 0xc4, 0xb4, 0x74, 0x45, 0x98, 0x13, 0x10, 0xdd, 0xba, 0x3a, 0x18, + /* (2^ 29)P */ 0xac, 0xaa, 0x92, 0xaa, 0x8d, 0xba, 0x65, 0xb1, 0x05, 0x67, 0x38, 0x99, 0x95, 0xef, 0xc5, 0xd5, 0xd1, 0x40, 0xfc, 0xf8, 0x0c, 0x8f, 0x2f, 0xbe, 0x14, 0x45, 0x20, 0xee, 0x35, 0xe6, 0x01, 0x27, + /* (2^ 30)P */ 0x14, 0x65, 0x15, 0x20, 0x00, 0xa8, 0x9f, 0x62, 0xce, 0xc1, 0xa8, 0x64, 0x87, 0x86, 0x23, 0xf2, 0x0e, 0x06, 0x3f, 0x0b, 0xff, 0x4f, 0x89, 0x5b, 0xfa, 0xa3, 0x08, 0xf7, 0x4c, 0x94, 0xd9, 0x60, + /* (2^ 31)P */ 0x1f, 0x20, 0x7a, 0x1c, 0x1a, 0x00, 0xea, 0xae, 0x63, 0xce, 0xe2, 0x3e, 0x63, 0x6a, 0xf1, 0xeb, 0xe1, 0x07, 0x7a, 0x4c, 0x59, 0x09, 0x77, 0x6f, 0xcb, 0x08, 0x02, 0x0d, 0x15, 0x58, 0xb9, 0x79, + /* (2^ 32)P */ 0xe7, 0x10, 0xd4, 0x01, 0x53, 0x5e, 0xb5, 0x24, 0x4d, 0xc8, 0xfd, 0xf3, 0xdf, 0x4e, 0xa3, 0xe3, 0xd8, 0x32, 0x40, 0x90, 0xe4, 0x68, 0x87, 0xd8, 0xec, 0xae, 0x3a, 0x7b, 0x42, 0x84, 0x13, 0x13, + /* (2^ 33)P */ 0x14, 0x4f, 0x23, 0x86, 0x12, 0xe5, 0x05, 0x84, 0x29, 0xc5, 0xb4, 0xad, 0x39, 0x47, 0xdc, 0x14, 0xfd, 0x4f, 0x63, 0x50, 0xb2, 0xb5, 0xa2, 0xb8, 0x93, 0xff, 0xa7, 0xd8, 0x4a, 0xa9, 0xe2, 0x2f, + /* (2^ 34)P */ 0xdd, 0xfa, 0x43, 0xe8, 0xef, 0x57, 0x5c, 0xec, 0x18, 0x99, 0xbb, 0xf0, 0x40, 0xce, 0x43, 0x28, 0x05, 0x63, 0x3d, 0xcf, 0xd6, 0x61, 0xb5, 0xa4, 0x7e, 0x77, 0xfb, 0xe8, 0xbd, 0x29, 0x36, 0x74, + /* (2^ 35)P */ 0x8f, 0x73, 0xaf, 0xbb, 0x46, 0xdd, 0x3e, 0x34, 0x51, 0xa6, 0x01, 0xb1, 0x28, 0x18, 0x98, 0xed, 0x7a, 0x79, 0x2c, 0x88, 0x0b, 0x76, 0x01, 0xa4, 0x30, 0x87, 0xc8, 0x8d, 0xe2, 0x23, 0xc2, 0x1f, + /* (2^ 36)P */ 0x0e, 0xba, 0x0f, 0xfc, 0x91, 0x4e, 0x60, 0x48, 0xa4, 0x6f, 0x2c, 0x05, 0x8f, 0xf7, 0x37, 0xb6, 0x9c, 0x23, 0xe9, 0x09, 0x3d, 0xac, 0xcc, 0x91, 0x7c, 0x68, 0x7a, 0x43, 0xd4, 0xee, 0xf7, 0x23, + /* (2^ 37)P */ 0x00, 0xd8, 0x9b, 0x8d, 0x11, 0xb1, 0x73, 0x51, 0xa7, 0xd4, 0x89, 0x31, 0xb6, 0x41, 0xd6, 0x29, 0x86, 0xc5, 0xbb, 0x88, 0x79, 0x17, 0xbf, 0xfd, 0xf5, 0x1d, 0xd8, 0xca, 0x4f, 0x89, 0x59, 0x29, + /* (2^ 38)P */ 0x99, 0xc8, 0xbb, 0xb4, 0xf3, 0x8e, 0xbc, 0xae, 0xb9, 0x92, 0x69, 0xb2, 0x5a, 0x99, 0x48, 0x41, 0xfb, 0x2c, 0xf9, 0x34, 0x01, 0x0b, 0xe2, 0x24, 0xe8, 0xde, 0x05, 0x4a, 0x89, 0x58, 0xd1, 0x40, + /* (2^ 39)P */ 0xf6, 0x76, 0xaf, 0x85, 0x11, 0x0b, 0xb0, 0x46, 0x79, 0x7a, 0x18, 0x73, 0x78, 0xc7, 0xba, 0x26, 0x5f, 0xff, 0x8f, 0xab, 0x95, 0xbf, 0xc0, 0x3d, 0xd7, 0x24, 0x55, 0x94, 0xd8, 0x8b, 0x60, 0x2a, + /* (2^ 40)P */ 0x02, 0x63, 0x44, 0xbd, 0x88, 0x95, 0x44, 0x26, 0x9c, 0x43, 0x88, 0x03, 0x1c, 0xc2, 0x4b, 0x7c, 0xb2, 0x11, 0xbd, 0x83, 0xf3, 0xa4, 0x98, 0x8e, 0xb9, 0x76, 0xd8, 0xc9, 0x7b, 0x8d, 0x21, 0x26, + /* (2^ 41)P */ 0x8a, 0x17, 0x7c, 0x99, 0x42, 0x15, 0x08, 0xe3, 0x6f, 0x60, 0xb6, 0x6f, 0xa8, 0x29, 0x2d, 0x3c, 0x74, 0x93, 0x27, 0xfa, 0x36, 0x77, 0x21, 0x5c, 0xfa, 0xb1, 0xfe, 0x4a, 0x73, 0x05, 0xde, 0x7d, + /* (2^ 42)P */ 0xab, 0x2b, 0xd4, 0x06, 0x39, 0x0e, 0xf1, 0x3b, 0x9c, 0x64, 0x80, 0x19, 0x3e, 0x80, 0xf7, 0xe4, 0x7a, 0xbf, 0x95, 0x95, 0xf8, 0x3b, 0x05, 0xe6, 0x30, 0x55, 0x24, 0xda, 0x38, 0xaf, 0x4f, 0x39, + /* (2^ 43)P */ 0xf4, 0x28, 0x69, 0x89, 0x58, 0xfb, 0x8e, 0x7a, 0x3c, 0x11, 0x6a, 0xcc, 0xe9, 0x78, 0xc7, 0xfb, 0x6f, 0x59, 0xaf, 0x30, 0xe3, 0x0c, 0x67, 0x72, 0xf7, 0x6c, 0x3d, 0x1d, 0xa8, 0x22, 0xf2, 0x48, + /* (2^ 44)P */ 0xa7, 0xca, 0x72, 0x0d, 0x41, 0xce, 0x1f, 0xf0, 0x95, 0x55, 0x3b, 0x21, 0xc7, 0xec, 0x20, 0x5a, 0x83, 0x14, 0xfa, 0xc1, 0x65, 0x11, 0xc2, 0x7b, 0x41, 0xa7, 0xa8, 0x1d, 0xe3, 0x9a, 0xf8, 0x07, + /* (2^ 45)P */ 0xf9, 0x0f, 0x83, 0xc6, 0xb4, 0xc2, 0xd2, 0x05, 0x93, 0x62, 0x31, 0xc6, 0x0f, 0x33, 0x3e, 0xd4, 0x04, 0xa9, 0xd3, 0x96, 0x0a, 0x59, 0xa5, 0xa5, 0xb6, 0x33, 0x53, 0xa6, 0x91, 0xdb, 0x5e, 0x70, + /* (2^ 46)P */ 0xf7, 0xa5, 0xb9, 0x0b, 0x5e, 0xe1, 0x8e, 0x04, 0x5d, 0xaf, 0x0a, 0x9e, 0xca, 0xcf, 0x40, 0x32, 0x0b, 0xa4, 0xc4, 0xed, 0xce, 0x71, 0x4b, 0x8f, 0x6d, 0x4a, 0x54, 0xde, 0xa3, 0x0d, 0x1c, 0x62, + /* (2^ 47)P */ 0x91, 0x40, 0x8c, 0xa0, 0x36, 0x28, 0x87, 0x92, 0x45, 0x14, 0xc9, 0x10, 0xb0, 0x75, 0x83, 0xce, 0x94, 0x63, 0x27, 0x4f, 0x52, 0xeb, 0x72, 0x8a, 0x35, 0x36, 0xc8, 0x7e, 0xfa, 0xfc, 0x67, 0x26, + /* (2^ 48)P */ 0x2a, 0x75, 0xe8, 0x45, 0x33, 0x17, 0x4c, 0x7f, 0xa5, 0x79, 0x70, 0xee, 0xfe, 0x47, 0x1b, 0x06, 0x34, 0xff, 0x86, 0x9f, 0xfa, 0x9a, 0xdd, 0x25, 0x9c, 0xc8, 0x5d, 0x42, 0xf5, 0xce, 0x80, 0x37, + /* (2^ 49)P */ 0xe9, 0xb4, 0x3b, 0x51, 0x5a, 0x03, 0x46, 0x1a, 0xda, 0x5a, 0x57, 0xac, 0x79, 0xf3, 0x1e, 0x3e, 0x50, 0x4b, 0xa2, 0x5f, 0x1c, 0x5f, 0x8c, 0xc7, 0x22, 0x9f, 0xfd, 0x34, 0x76, 0x96, 0x1a, 0x32, + /* (2^ 50)P */ 0xfa, 0x27, 0x6e, 0x82, 0xb8, 0x07, 0x67, 0x94, 0xd0, 0x6f, 0x50, 0x4c, 0xd6, 0x84, 0xca, 0x3d, 0x36, 0x14, 0xe9, 0x75, 0x80, 0x21, 0x89, 0xc1, 0x84, 0x84, 0x3b, 0x9b, 0x16, 0x84, 0x92, 0x6d, + /* (2^ 51)P */ 0xdf, 0x2d, 0x3f, 0x38, 0x40, 0xe8, 0x67, 0x3a, 0x75, 0x9b, 0x4f, 0x0c, 0xa3, 0xc9, 0xee, 0x33, 0x47, 0xef, 0x83, 0xa7, 0x6f, 0xc8, 0xc7, 0x3e, 0xc4, 0xfb, 0xc9, 0xba, 0x9f, 0x44, 0xec, 0x26, + /* (2^ 52)P */ 0x7d, 0x9e, 0x9b, 0xa0, 0xcb, 0x38, 0x0f, 0x5c, 0x8c, 0x47, 0xa3, 0x62, 0xc7, 0x8c, 0x16, 0x81, 0x1c, 0x12, 0xfc, 0x06, 0xd3, 0xb0, 0x23, 0x3e, 0xdd, 0xdc, 0xef, 0xa5, 0xa0, 0x8a, 0x23, 0x5a, + /* (2^ 53)P */ 0xff, 0x43, 0xea, 0xc4, 0x21, 0x61, 0xa2, 0x1b, 0xb5, 0x32, 0x88, 0x7c, 0x7f, 0xc7, 0xf8, 0x36, 0x9a, 0xf9, 0xdc, 0x0a, 0x0b, 0xea, 0xfb, 0x88, 0xf9, 0xeb, 0x5b, 0xc2, 0x8e, 0x93, 0xa9, 0x5c, + /* (2^ 54)P */ 0xa0, 0xcd, 0xfc, 0x51, 0x5e, 0x6a, 0x43, 0xd5, 0x3b, 0x89, 0xcd, 0xc2, 0x97, 0x47, 0xbc, 0x1d, 0x08, 0x4a, 0x22, 0xd3, 0x65, 0x6a, 0x34, 0x19, 0x66, 0xf4, 0x9a, 0x9b, 0xe4, 0x34, 0x50, 0x0f, + /* (2^ 55)P */ 0x6e, 0xb9, 0xe0, 0xa1, 0x67, 0x39, 0x3c, 0xf2, 0x88, 0x4d, 0x7a, 0x86, 0xfa, 0x08, 0x8b, 0xe5, 0x79, 0x16, 0x34, 0xa7, 0xc6, 0xab, 0x2f, 0xfb, 0x46, 0x69, 0x02, 0xb6, 0x1e, 0x38, 0x75, 0x2a, + /* (2^ 56)P */ 0xac, 0x20, 0x94, 0xc1, 0xe4, 0x3b, 0x0a, 0xc8, 0xdc, 0xb6, 0xf2, 0x81, 0xc6, 0xf6, 0xb1, 0x66, 0x88, 0x33, 0xe9, 0x61, 0x67, 0x03, 0xf7, 0x7c, 0xc4, 0xa4, 0x60, 0xa6, 0xd8, 0xbb, 0xab, 0x25, + /* (2^ 57)P */ 0x98, 0x51, 0xfd, 0x14, 0xba, 0x12, 0xea, 0x91, 0xa9, 0xff, 0x3c, 0x4a, 0xfc, 0x50, 0x49, 0x68, 0x28, 0xad, 0xf5, 0x30, 0x21, 0x84, 0x26, 0xf8, 0x41, 0xa4, 0x01, 0x53, 0xf7, 0x88, 0xa9, 0x3e, + /* (2^ 58)P */ 0x6f, 0x8c, 0x5f, 0x69, 0x9a, 0x10, 0x78, 0xc9, 0xf3, 0xc3, 0x30, 0x05, 0x4a, 0xeb, 0x46, 0x17, 0x95, 0x99, 0x45, 0xb4, 0x77, 0x6d, 0x4d, 0x44, 0xc7, 0x5c, 0x4e, 0x05, 0x8c, 0x2b, 0x95, 0x75, + /* (2^ 59)P */ 0xaa, 0xd6, 0xf4, 0x15, 0x79, 0x3f, 0x70, 0xa3, 0xd8, 0x47, 0x26, 0x2f, 0x20, 0x46, 0xc3, 0x66, 0x4b, 0x64, 0x1d, 0x81, 0xdf, 0x69, 0x14, 0xd0, 0x1f, 0xd7, 0xa5, 0x81, 0x7d, 0xa4, 0xfe, 0x77, + /* (2^ 60)P */ 0x81, 0xa3, 0x7c, 0xf5, 0x9e, 0x52, 0xe9, 0xc5, 0x1a, 0x88, 0x2f, 0xce, 0xb9, 0xb4, 0xee, 0x6e, 0xd6, 0x9b, 0x00, 0xe8, 0x28, 0x1a, 0xe9, 0xb6, 0xec, 0x3f, 0xfc, 0x9a, 0x3e, 0xbe, 0x80, 0x4b, + /* (2^ 61)P */ 0xc5, 0xd2, 0xae, 0x26, 0xc5, 0x73, 0x37, 0x7e, 0x9d, 0xa4, 0xc9, 0x53, 0xb4, 0xfc, 0x4a, 0x1b, 0x4d, 0xb2, 0xff, 0xba, 0xd7, 0xbd, 0x20, 0xa9, 0x0e, 0x40, 0x2d, 0x12, 0x9f, 0x69, 0x54, 0x7c, + /* (2^ 62)P */ 0xc8, 0x4b, 0xa9, 0x4f, 0xe1, 0xc8, 0x46, 0xef, 0x5e, 0xed, 0x52, 0x29, 0xce, 0x74, 0xb0, 0xe0, 0xd5, 0x85, 0xd8, 0xdb, 0xe1, 0x50, 0xa4, 0xbe, 0x2c, 0x71, 0x0f, 0x32, 0x49, 0x86, 0xb6, 0x61, + /* (2^ 63)P */ 0xd1, 0xbd, 0xcc, 0x09, 0x73, 0x5f, 0x48, 0x8a, 0x2d, 0x1a, 0x4d, 0x7d, 0x0d, 0x32, 0x06, 0xbd, 0xf4, 0xbe, 0x2d, 0x32, 0x73, 0x29, 0x23, 0x25, 0x70, 0xf7, 0x17, 0x8c, 0x75, 0xc4, 0x5d, 0x44, + /* (2^ 64)P */ 0x3c, 0x93, 0xc8, 0x7c, 0x17, 0x34, 0x04, 0xdb, 0x9f, 0x05, 0xea, 0x75, 0x21, 0xe8, 0x6f, 0xed, 0x34, 0xdb, 0x53, 0xc0, 0xfd, 0xbe, 0xfe, 0x1e, 0x99, 0xaf, 0x5d, 0xc6, 0x67, 0xe8, 0xdb, 0x4a, + /* (2^ 65)P */ 0xdf, 0x09, 0x06, 0xa9, 0xa2, 0x71, 0xcd, 0x3a, 0x50, 0x40, 0xd0, 0x6d, 0x85, 0x91, 0xe9, 0xe5, 0x3c, 0xc2, 0x57, 0x81, 0x68, 0x9b, 0xc6, 0x1e, 0x4d, 0xfe, 0x5c, 0x88, 0xf6, 0x27, 0x74, 0x69, + /* (2^ 66)P */ 0x51, 0xa8, 0xe1, 0x65, 0x9b, 0x7b, 0xbe, 0xd7, 0xdd, 0x36, 0xc5, 0x22, 0xd5, 0x28, 0x3d, 0xa0, 0x45, 0xb6, 0xd2, 0x8f, 0x65, 0x9d, 0x39, 0x28, 0xe1, 0x41, 0x26, 0x7c, 0xe1, 0xb7, 0xe5, 0x49, + /* (2^ 67)P */ 0xa4, 0x57, 0x04, 0x70, 0x98, 0x3a, 0x8c, 0x6f, 0x78, 0x67, 0xbb, 0x5e, 0xa2, 0xf0, 0x78, 0x50, 0x0f, 0x96, 0x82, 0xc3, 0xcb, 0x3c, 0x3c, 0xd1, 0xb1, 0x84, 0xdf, 0xa7, 0x58, 0x32, 0x00, 0x2e, + /* (2^ 68)P */ 0x1c, 0x6a, 0x29, 0xe6, 0x9b, 0xf3, 0xd1, 0x8a, 0xb2, 0xbf, 0x5f, 0x2a, 0x65, 0xaa, 0xee, 0xc1, 0xcb, 0xf3, 0x26, 0xfd, 0x73, 0x06, 0xee, 0x33, 0xcc, 0x2c, 0x9d, 0xa6, 0x73, 0x61, 0x25, 0x59, + /* (2^ 69)P */ 0x41, 0xfc, 0x18, 0x4e, 0xaa, 0x07, 0xea, 0x41, 0x1e, 0xa5, 0x87, 0x7c, 0x52, 0x19, 0xfc, 0xd9, 0x6f, 0xca, 0x31, 0x58, 0x80, 0xcb, 0xaa, 0xbd, 0x4f, 0x69, 0x16, 0xc9, 0x2d, 0x65, 0x5b, 0x44, + /* (2^ 70)P */ 0x15, 0x23, 0x17, 0xf2, 0xa7, 0xa3, 0x92, 0xce, 0x64, 0x99, 0x1b, 0xe1, 0x2d, 0x28, 0xdc, 0x1e, 0x4a, 0x31, 0x4c, 0xe0, 0xaf, 0x3a, 0x82, 0xa1, 0x86, 0xf5, 0x7c, 0x43, 0x94, 0x2d, 0x0a, 0x79, + /* (2^ 71)P */ 0x09, 0xe0, 0xf6, 0x93, 0xfb, 0x47, 0xc4, 0x71, 0x76, 0x52, 0x84, 0x22, 0x67, 0xa5, 0x22, 0x89, 0x69, 0x51, 0x4f, 0x20, 0x3b, 0x90, 0x70, 0xbf, 0xfe, 0x19, 0xa3, 0x1b, 0x89, 0x89, 0x7a, 0x2f, + /* (2^ 72)P */ 0x0c, 0x14, 0xe2, 0x77, 0xb5, 0x8e, 0xa0, 0x02, 0xf4, 0xdc, 0x7b, 0x42, 0xd4, 0x4e, 0x9a, 0xed, 0xd1, 0x3c, 0x32, 0xe4, 0x44, 0xec, 0x53, 0x52, 0x5b, 0x35, 0xe9, 0x14, 0x3c, 0x36, 0x88, 0x3e, + /* (2^ 73)P */ 0x8c, 0x0b, 0x11, 0x77, 0x42, 0xc1, 0x66, 0xaa, 0x90, 0x33, 0xa2, 0x10, 0x16, 0x39, 0xe0, 0x1a, 0xa2, 0xc2, 0x3f, 0xc9, 0x12, 0xbd, 0x30, 0x20, 0xab, 0xc7, 0x55, 0x95, 0x57, 0x41, 0xe1, 0x3e, + /* (2^ 74)P */ 0x41, 0x7d, 0x6e, 0x6d, 0x3a, 0xde, 0x14, 0x92, 0xfe, 0x7e, 0xf1, 0x07, 0x86, 0xd8, 0xcd, 0x3c, 0x17, 0x12, 0xe1, 0xf8, 0x88, 0x12, 0x4f, 0x67, 0xd0, 0x93, 0x9f, 0x32, 0x0f, 0x25, 0x82, 0x56, + /* (2^ 75)P */ 0x6e, 0x39, 0x2e, 0x6d, 0x13, 0x0b, 0xf0, 0x6c, 0xbf, 0xde, 0x14, 0x10, 0x6f, 0xf8, 0x4c, 0x6e, 0x83, 0x4e, 0xcc, 0xbf, 0xb5, 0xb1, 0x30, 0x59, 0xb6, 0x16, 0xba, 0x8a, 0xb4, 0x69, 0x70, 0x04, + /* (2^ 76)P */ 0x93, 0x07, 0xb2, 0x69, 0xab, 0xe4, 0x4c, 0x0d, 0x9e, 0xfb, 0xd0, 0x97, 0x1a, 0xb9, 0x4d, 0xb2, 0x1d, 0xd0, 0x00, 0x4e, 0xf5, 0x50, 0xfa, 0xcd, 0xb5, 0xdd, 0x8b, 0x36, 0x85, 0x10, 0x1b, 0x22, + /* (2^ 77)P */ 0xd2, 0xd8, 0xe3, 0xb1, 0x68, 0x94, 0xe5, 0xe7, 0x93, 0x2f, 0x12, 0xbd, 0x63, 0x65, 0xc5, 0x53, 0x09, 0x3f, 0x66, 0xe0, 0x03, 0xa9, 0xe8, 0xee, 0x42, 0x3d, 0xbe, 0xcb, 0x62, 0xa6, 0xef, 0x61, + /* (2^ 78)P */ 0x2a, 0xab, 0x6e, 0xde, 0xdd, 0xdd, 0xf8, 0x2c, 0x31, 0xf2, 0x35, 0x14, 0xd5, 0x0a, 0xf8, 0x9b, 0x73, 0x49, 0xf0, 0xc9, 0xce, 0xda, 0xea, 0x5d, 0x27, 0x9b, 0xd2, 0x41, 0x5d, 0x5b, 0x27, 0x29, + /* (2^ 79)P */ 0x4f, 0xf1, 0xeb, 0x95, 0x08, 0x0f, 0xde, 0xcf, 0xa7, 0x05, 0x49, 0x05, 0x6b, 0xb9, 0xaa, 0xb9, 0xfd, 0x20, 0xc4, 0xa1, 0xd9, 0x0d, 0xe8, 0xca, 0xc7, 0xbb, 0x73, 0x16, 0x2f, 0xbf, 0x63, 0x0a, + /* (2^ 80)P */ 0x8c, 0xbc, 0x8f, 0x95, 0x11, 0x6e, 0x2f, 0x09, 0xad, 0x2f, 0x82, 0x04, 0xe8, 0x81, 0x2a, 0x67, 0x17, 0x25, 0xd5, 0x60, 0x15, 0x35, 0xc8, 0xca, 0xf8, 0x92, 0xf1, 0xc8, 0x22, 0x77, 0x3f, 0x6f, + /* (2^ 81)P */ 0xb7, 0x94, 0xe8, 0xc2, 0xcc, 0x90, 0xba, 0xf8, 0x0d, 0x9f, 0xff, 0x38, 0xa4, 0x57, 0x75, 0x2c, 0x59, 0x23, 0xe5, 0x5a, 0x85, 0x1d, 0x4d, 0x89, 0x69, 0x3d, 0x74, 0x7b, 0x15, 0x22, 0xe1, 0x68, + /* (2^ 82)P */ 0xf3, 0x19, 0xb9, 0xcf, 0x70, 0x55, 0x7e, 0xd8, 0xb9, 0x8d, 0x79, 0x95, 0xcd, 0xde, 0x2c, 0x3f, 0xce, 0xa2, 0xc0, 0x10, 0x47, 0x15, 0x21, 0x21, 0xb2, 0xc5, 0x6d, 0x24, 0x15, 0xa1, 0x66, 0x3c, + /* (2^ 83)P */ 0x72, 0xcb, 0x4e, 0x29, 0x62, 0xc5, 0xed, 0xcb, 0x16, 0x0b, 0x28, 0x6a, 0xc3, 0x43, 0x71, 0xba, 0x67, 0x8b, 0x07, 0xd4, 0xef, 0xc2, 0x10, 0x96, 0x1e, 0x4b, 0x6a, 0x94, 0x5d, 0x73, 0x44, 0x61, + /* (2^ 84)P */ 0x50, 0x33, 0x5b, 0xd7, 0x1e, 0x11, 0x6f, 0x53, 0x1b, 0xd8, 0x41, 0x20, 0x8c, 0xdb, 0x11, 0x02, 0x3c, 0x41, 0x10, 0x0e, 0x00, 0xb1, 0x3c, 0xf9, 0x76, 0x88, 0x9e, 0x03, 0x3c, 0xfd, 0x9d, 0x14, + /* (2^ 85)P */ 0x5b, 0x15, 0x63, 0x6b, 0xe4, 0xdd, 0x79, 0xd4, 0x76, 0x79, 0x83, 0x3c, 0xe9, 0x15, 0x6e, 0xb6, 0x38, 0xe0, 0x13, 0x1f, 0x3b, 0xe4, 0xfd, 0xda, 0x35, 0x0b, 0x4b, 0x2e, 0x1a, 0xda, 0xaf, 0x5f, + /* (2^ 86)P */ 0x81, 0x75, 0x19, 0x17, 0xdf, 0xbb, 0x00, 0x36, 0xc2, 0xd2, 0x3c, 0xbe, 0x0b, 0x05, 0x72, 0x39, 0x86, 0xbe, 0xd5, 0xbd, 0x6d, 0x90, 0x38, 0x59, 0x0f, 0x86, 0x9b, 0x3f, 0xe4, 0xe5, 0xfc, 0x34, + /* (2^ 87)P */ 0x02, 0x4d, 0xd1, 0x42, 0xcd, 0xa4, 0xa8, 0x75, 0x65, 0xdf, 0x41, 0x34, 0xc5, 0xab, 0x8d, 0x82, 0xd3, 0x31, 0xe1, 0xd2, 0xed, 0xab, 0xdc, 0x33, 0x5f, 0xd2, 0x14, 0xb8, 0x6f, 0xd7, 0xba, 0x3e, + /* (2^ 88)P */ 0x0f, 0xe1, 0x70, 0x6f, 0x56, 0x6f, 0x90, 0xd4, 0x5a, 0x0f, 0x69, 0x51, 0xaa, 0xf7, 0x12, 0x5d, 0xf2, 0xfc, 0xce, 0x76, 0x6e, 0xb1, 0xad, 0x45, 0x99, 0x29, 0x23, 0xad, 0xae, 0x68, 0xf7, 0x01, + /* (2^ 89)P */ 0xbd, 0xfe, 0x48, 0x62, 0x7b, 0xc7, 0x6c, 0x2b, 0xfd, 0xaf, 0x3a, 0xec, 0x28, 0x06, 0xd3, 0x3c, 0x6a, 0x48, 0xef, 0xd4, 0x80, 0x0b, 0x1c, 0xce, 0x23, 0x6c, 0xf6, 0xa6, 0x2e, 0xff, 0x3b, 0x4c, + /* (2^ 90)P */ 0x5f, 0xeb, 0xea, 0x4a, 0x09, 0xc4, 0x2e, 0x3f, 0xa7, 0x2c, 0x37, 0x6e, 0x28, 0x9b, 0xb1, 0x61, 0x1d, 0x70, 0x2a, 0xde, 0x66, 0xa9, 0xef, 0x5e, 0xef, 0xe3, 0x55, 0xde, 0x65, 0x05, 0xb2, 0x23, + /* (2^ 91)P */ 0x57, 0x85, 0xd5, 0x79, 0x52, 0xca, 0x01, 0xe3, 0x4f, 0x87, 0xc2, 0x27, 0xce, 0xd4, 0xb2, 0x07, 0x67, 0x1d, 0xcf, 0x9d, 0x8a, 0xcd, 0x32, 0xa5, 0x56, 0xff, 0x2b, 0x3f, 0xe2, 0xfe, 0x52, 0x2a, + /* (2^ 92)P */ 0x3d, 0x66, 0xd8, 0x7c, 0xb3, 0xef, 0x24, 0x86, 0x94, 0x75, 0xbd, 0xff, 0x20, 0xac, 0xc7, 0xbb, 0x45, 0x74, 0xd3, 0x82, 0x9c, 0x5e, 0xb8, 0x57, 0x66, 0xec, 0xa6, 0x86, 0xcb, 0x52, 0x30, 0x7b, + /* (2^ 93)P */ 0x1e, 0xe9, 0x25, 0x25, 0xad, 0xf0, 0x82, 0x34, 0xa0, 0xdc, 0x8e, 0xd2, 0x43, 0x80, 0xb6, 0x2c, 0x3a, 0x00, 0x1b, 0x2e, 0x05, 0x6d, 0x4f, 0xaf, 0x0a, 0x1b, 0x78, 0x29, 0x25, 0x8c, 0x5f, 0x18, + /* (2^ 94)P */ 0xd6, 0xe0, 0x0c, 0xd8, 0x5b, 0xde, 0x41, 0xaa, 0xd6, 0xe9, 0x53, 0x68, 0x41, 0xb2, 0x07, 0x94, 0x3a, 0x4c, 0x7f, 0x35, 0x6e, 0xc3, 0x3e, 0x56, 0xce, 0x7b, 0x29, 0x0e, 0xdd, 0xb8, 0xc4, 0x4c, + /* (2^ 95)P */ 0x0e, 0x73, 0xb8, 0xff, 0x52, 0x1a, 0xfc, 0xa2, 0x37, 0x8e, 0x05, 0x67, 0x6e, 0xf1, 0x11, 0x18, 0xe1, 0x4e, 0xdf, 0xcd, 0x66, 0xa3, 0xf9, 0x10, 0x99, 0xf0, 0xb9, 0xa0, 0xc4, 0xa0, 0xf4, 0x72, + /* (2^ 96)P */ 0xa7, 0x4e, 0x3f, 0x66, 0x6f, 0xc0, 0x16, 0x8c, 0xba, 0x0f, 0x97, 0x4e, 0xf7, 0x3a, 0x3b, 0x69, 0x45, 0xc3, 0x9e, 0xd6, 0xf1, 0xe7, 0x02, 0x21, 0x89, 0x80, 0x8a, 0x96, 0xbc, 0x3c, 0xa5, 0x0b, + /* (2^ 97)P */ 0x37, 0x55, 0xa1, 0xfe, 0xc7, 0x9d, 0x3d, 0xca, 0x93, 0x64, 0x53, 0x51, 0xbb, 0x24, 0x68, 0x4c, 0xb1, 0x06, 0x40, 0x84, 0x14, 0x63, 0x88, 0xb9, 0x60, 0xcc, 0x54, 0xb4, 0x2a, 0xa7, 0xd2, 0x40, + /* (2^ 98)P */ 0x75, 0x09, 0x57, 0x12, 0xb7, 0xa1, 0x36, 0x59, 0x57, 0xa6, 0xbd, 0xde, 0x48, 0xd6, 0xb9, 0x91, 0xea, 0x30, 0x43, 0xb6, 0x4b, 0x09, 0x44, 0x33, 0xd0, 0x51, 0xee, 0x12, 0x0d, 0xa1, 0x6b, 0x00, + /* (2^ 99)P */ 0x58, 0x5d, 0xde, 0xf5, 0x68, 0x84, 0x22, 0x19, 0xb0, 0x05, 0xcc, 0x38, 0x4c, 0x2f, 0xb1, 0x0e, 0x90, 0x19, 0x60, 0xd5, 0x9d, 0x9f, 0x03, 0xa1, 0x0b, 0x0e, 0xff, 0x4f, 0xce, 0xd4, 0x02, 0x45, + /* (2^100)P */ 0x89, 0xc1, 0x37, 0x68, 0x10, 0x54, 0x20, 0xeb, 0x3c, 0xb9, 0xd3, 0x6d, 0x4c, 0x54, 0xf6, 0xd0, 0x4f, 0xd7, 0x16, 0xc4, 0x64, 0x70, 0x72, 0x40, 0xf0, 0x2e, 0x50, 0x4b, 0x11, 0xc6, 0x15, 0x6e, + /* (2^101)P */ 0x6b, 0xa7, 0xb1, 0xcf, 0x98, 0xa3, 0xf2, 0x4d, 0xb1, 0xf6, 0xf2, 0x19, 0x74, 0x6c, 0x25, 0x11, 0x43, 0x60, 0x6e, 0x06, 0x62, 0x79, 0x49, 0x4a, 0x44, 0x5b, 0x35, 0x41, 0xab, 0x3a, 0x5b, 0x70, + /* (2^102)P */ 0xd8, 0xb1, 0x97, 0xd7, 0x36, 0xf5, 0x5e, 0x36, 0xdb, 0xf0, 0xdd, 0x22, 0xd6, 0x6b, 0x07, 0x00, 0x88, 0x5a, 0x57, 0xe0, 0xb0, 0x33, 0xbf, 0x3b, 0x4d, 0xca, 0xe4, 0xc8, 0x05, 0xaa, 0x77, 0x37, + /* (2^103)P */ 0x5f, 0xdb, 0x78, 0x55, 0xc8, 0x45, 0x27, 0x39, 0xe2, 0x5a, 0xae, 0xdb, 0x49, 0x41, 0xda, 0x6f, 0x67, 0x98, 0xdc, 0x8a, 0x0b, 0xb0, 0xf0, 0xb1, 0xa3, 0x1d, 0x6f, 0xd3, 0x37, 0x34, 0x96, 0x09, + /* (2^104)P */ 0x53, 0x38, 0xdc, 0xa5, 0x90, 0x4e, 0x82, 0x7e, 0xbd, 0x5c, 0x13, 0x1f, 0x64, 0xf6, 0xb5, 0xcc, 0xcc, 0x8f, 0xce, 0x87, 0x6c, 0xd8, 0x36, 0x67, 0x9f, 0x24, 0x04, 0x66, 0xe2, 0x3c, 0x5f, 0x62, + /* (2^105)P */ 0x3f, 0xf6, 0x02, 0x95, 0x05, 0xc8, 0x8a, 0xaf, 0x69, 0x14, 0x35, 0x2e, 0x0a, 0xe7, 0x05, 0x0c, 0x05, 0x63, 0x4b, 0x76, 0x9c, 0x2e, 0x29, 0x35, 0xc3, 0x3a, 0xe2, 0xc7, 0x60, 0x43, 0x39, 0x1a, + /* (2^106)P */ 0x64, 0x32, 0x18, 0x51, 0x32, 0xd5, 0xc6, 0xd5, 0x4f, 0xb7, 0xc2, 0x43, 0xbd, 0x5a, 0x06, 0x62, 0x9b, 0x3f, 0x97, 0x3b, 0xd0, 0xf5, 0xfb, 0xb5, 0x5e, 0x6e, 0x20, 0x61, 0x36, 0xda, 0xa3, 0x13, + /* (2^107)P */ 0xe5, 0x94, 0x5d, 0x72, 0x37, 0x58, 0xbd, 0xc6, 0xc5, 0x16, 0x50, 0x20, 0x12, 0x09, 0xe3, 0x18, 0x68, 0x3c, 0x03, 0x70, 0x15, 0xce, 0x88, 0x20, 0x87, 0x79, 0x83, 0x5c, 0x49, 0x1f, 0xba, 0x7f, + /* (2^108)P */ 0x9d, 0x07, 0xf9, 0xf2, 0x23, 0x74, 0x8c, 0x5a, 0xc5, 0x3f, 0x02, 0x34, 0x7b, 0x15, 0x35, 0x17, 0x51, 0xb3, 0xfa, 0xd2, 0x9a, 0xb4, 0xf9, 0xe4, 0x3c, 0xe3, 0x78, 0xc8, 0x72, 0xff, 0x91, 0x66, + /* (2^109)P */ 0x3e, 0xff, 0x5e, 0xdc, 0xde, 0x2a, 0x2c, 0x12, 0xf4, 0x6c, 0x95, 0xd8, 0xf1, 0x4b, 0xdd, 0xf8, 0xda, 0x5b, 0x9e, 0x9e, 0x5d, 0x20, 0x86, 0xeb, 0x43, 0xc7, 0x75, 0xd9, 0xb9, 0x92, 0x9b, 0x04, + /* (2^110)P */ 0x5a, 0xc0, 0xf6, 0xb0, 0x30, 0x97, 0x37, 0xa5, 0x53, 0xa5, 0xf3, 0xc6, 0xac, 0xff, 0xa0, 0x72, 0x6d, 0xcd, 0x0d, 0xb2, 0x34, 0x2c, 0x03, 0xb0, 0x4a, 0x16, 0xd5, 0x88, 0xbc, 0x9d, 0x0e, 0x47, + /* (2^111)P */ 0x47, 0xc0, 0x37, 0xa2, 0x0c, 0xf1, 0x9c, 0xb1, 0xa2, 0x81, 0x6c, 0x1f, 0x71, 0x66, 0x54, 0xb6, 0x43, 0x0b, 0xd8, 0x6d, 0xd1, 0x1b, 0x32, 0xb3, 0x8e, 0xbe, 0x5f, 0x0c, 0x60, 0x4f, 0xc1, 0x48, + /* (2^112)P */ 0x03, 0xc8, 0xa6, 0x4a, 0x26, 0x1c, 0x45, 0x66, 0xa6, 0x7d, 0xfa, 0xa4, 0x04, 0x39, 0x6e, 0xb6, 0x95, 0x83, 0x12, 0xb3, 0xb0, 0x19, 0x5f, 0xd4, 0x10, 0xbc, 0xc9, 0xc3, 0x27, 0x26, 0x60, 0x31, + /* (2^113)P */ 0x0d, 0xe1, 0xe4, 0x32, 0x48, 0xdc, 0x20, 0x31, 0xf7, 0x17, 0xc7, 0x56, 0x67, 0xc4, 0x20, 0xeb, 0x94, 0x02, 0x28, 0x67, 0x3f, 0x2e, 0xf5, 0x00, 0x09, 0xc5, 0x30, 0x47, 0xc1, 0x4f, 0x6d, 0x56, + /* (2^114)P */ 0x06, 0x72, 0x83, 0xfd, 0x40, 0x5d, 0x3a, 0x7e, 0x7a, 0x54, 0x59, 0x71, 0xdc, 0x26, 0xe9, 0xc1, 0x95, 0x60, 0x8d, 0xa6, 0xfb, 0x30, 0x67, 0x21, 0xa7, 0xce, 0x69, 0x3f, 0x84, 0xc3, 0xe8, 0x22, + /* (2^115)P */ 0x2b, 0x4b, 0x0e, 0x93, 0xe8, 0x74, 0xd0, 0x33, 0x16, 0x58, 0xd1, 0x84, 0x0e, 0x35, 0xe4, 0xb6, 0x65, 0x23, 0xba, 0xd6, 0x6a, 0xc2, 0x34, 0x55, 0xf3, 0xf3, 0xf1, 0x89, 0x2f, 0xc1, 0x73, 0x77, + /* (2^116)P */ 0xaa, 0x62, 0x79, 0xa5, 0x4d, 0x40, 0xba, 0x8c, 0x56, 0xce, 0x99, 0x19, 0xa8, 0x97, 0x98, 0x5b, 0xfc, 0x92, 0x16, 0x12, 0x2f, 0x86, 0x8e, 0x50, 0x91, 0xc2, 0x93, 0xa0, 0x7f, 0x90, 0x81, 0x3a, + /* (2^117)P */ 0x10, 0xa5, 0x25, 0x47, 0xff, 0xd0, 0xde, 0x0d, 0x03, 0xc5, 0x3f, 0x67, 0x10, 0xcc, 0xd8, 0x10, 0x89, 0x4e, 0x1f, 0x9f, 0x1c, 0x15, 0x9d, 0x5b, 0x4c, 0xa4, 0x09, 0xcb, 0xd5, 0xc1, 0xa5, 0x32, + /* (2^118)P */ 0xfb, 0x41, 0x05, 0xb9, 0x42, 0xa4, 0x0a, 0x1e, 0xdb, 0x85, 0xb4, 0xc1, 0x7c, 0xeb, 0x85, 0x5f, 0xe5, 0xf2, 0x9d, 0x8a, 0xce, 0x95, 0xe5, 0xbe, 0x36, 0x22, 0x42, 0x22, 0xc7, 0x96, 0xe4, 0x25, + /* (2^119)P */ 0xb9, 0xe5, 0x0f, 0xcd, 0x46, 0x3c, 0xdf, 0x5e, 0x88, 0x33, 0xa4, 0xd2, 0x7e, 0x5a, 0xe7, 0x34, 0x52, 0xe3, 0x61, 0xd7, 0x11, 0xde, 0x88, 0xe4, 0x5c, 0x54, 0x85, 0xa0, 0x01, 0x8a, 0x87, 0x0e, + /* (2^120)P */ 0x04, 0xbb, 0x21, 0xe0, 0x77, 0x3c, 0x49, 0xba, 0x9a, 0x89, 0xdf, 0xc7, 0x43, 0x18, 0x4d, 0x2b, 0x67, 0x0d, 0xe8, 0x7a, 0x48, 0x7a, 0xa3, 0x9e, 0x94, 0x17, 0xe4, 0x11, 0x80, 0x95, 0xa9, 0x67, + /* (2^121)P */ 0x65, 0xb0, 0x97, 0x66, 0x1a, 0x05, 0x58, 0x4b, 0xd4, 0xa6, 0x6b, 0x8d, 0x7d, 0x3f, 0xe3, 0x47, 0xc1, 0x46, 0xca, 0x83, 0xd4, 0xa8, 0x4d, 0xbb, 0x0d, 0xdb, 0xc2, 0x81, 0xa1, 0xca, 0xbe, 0x68, + /* (2^122)P */ 0xa5, 0x9a, 0x98, 0x0b, 0xe9, 0x80, 0x89, 0x8d, 0x9b, 0xc9, 0x93, 0x2c, 0x4a, 0xb1, 0x5e, 0xf9, 0xa2, 0x73, 0x6e, 0x79, 0xc4, 0xc7, 0xc6, 0x51, 0x69, 0xb5, 0xef, 0xb5, 0x63, 0x83, 0x22, 0x6e, + /* (2^123)P */ 0xc8, 0x24, 0xd6, 0x2d, 0xb0, 0xc0, 0xbb, 0xc6, 0xee, 0x70, 0x81, 0xec, 0x7d, 0xb4, 0x7e, 0x77, 0xa9, 0xaf, 0xcf, 0x04, 0xa0, 0x15, 0xde, 0x3c, 0x9b, 0xbf, 0x60, 0x71, 0x08, 0xbc, 0xc6, 0x1d, + /* (2^124)P */ 0x02, 0x40, 0xc3, 0xee, 0x43, 0xe0, 0x07, 0x2e, 0x7f, 0xdc, 0x68, 0x7a, 0x67, 0xfc, 0xe9, 0x18, 0x9a, 0x5b, 0xd1, 0x8b, 0x18, 0x03, 0xda, 0xd8, 0x53, 0x82, 0x56, 0x00, 0xbb, 0xc3, 0xfb, 0x48, + /* (2^125)P */ 0xe1, 0x4c, 0x65, 0xfb, 0x4c, 0x7d, 0x54, 0x57, 0xad, 0xe2, 0x58, 0xa0, 0x82, 0x5b, 0x56, 0xd3, 0x78, 0x44, 0x15, 0xbf, 0x0b, 0xaf, 0x3e, 0xf6, 0x18, 0xbb, 0xdf, 0x14, 0xf1, 0x1e, 0x53, 0x47, + /* (2^126)P */ 0x87, 0xc5, 0x78, 0x42, 0x0a, 0x63, 0xec, 0xe1, 0xf3, 0x83, 0x8e, 0xca, 0x46, 0xd5, 0x07, 0x55, 0x2b, 0x0c, 0xdc, 0x3a, 0xc6, 0x35, 0xe1, 0x85, 0x4e, 0x84, 0x82, 0x56, 0xa8, 0xef, 0xa7, 0x0a, + /* (2^127)P */ 0x15, 0xf6, 0xe1, 0xb3, 0xa8, 0x1b, 0x69, 0x72, 0xfa, 0x3f, 0xbe, 0x1f, 0x70, 0xe9, 0xb4, 0x32, 0x68, 0x78, 0xbb, 0x39, 0x2e, 0xd9, 0xb6, 0x97, 0xe8, 0x39, 0x2e, 0xa0, 0xde, 0x53, 0xfe, 0x2c, + /* (2^128)P */ 0xb0, 0x52, 0xcd, 0x85, 0xcd, 0x92, 0x73, 0x68, 0x31, 0x98, 0xe2, 0x10, 0xc9, 0x66, 0xff, 0x27, 0x06, 0x2d, 0x83, 0xa9, 0x56, 0x45, 0x13, 0x97, 0xa0, 0xf8, 0x84, 0x0a, 0x36, 0xb0, 0x9b, 0x26, + /* (2^129)P */ 0x5c, 0xf8, 0x43, 0x76, 0x45, 0x55, 0x6e, 0x70, 0x1b, 0x7d, 0x59, 0x9b, 0x8c, 0xa4, 0x34, 0x37, 0x72, 0xa4, 0xef, 0xc6, 0xe8, 0x91, 0xee, 0x7a, 0xe0, 0xd9, 0xa9, 0x98, 0xc1, 0xab, 0xd6, 0x5c, + /* (2^130)P */ 0x1a, 0xe4, 0x3c, 0xcb, 0x06, 0xde, 0x04, 0x0e, 0x38, 0xe1, 0x02, 0x34, 0x89, 0xeb, 0xc6, 0xd8, 0x72, 0x37, 0x6e, 0x68, 0xbb, 0x59, 0x46, 0x90, 0xc8, 0xa8, 0x6b, 0x74, 0x71, 0xc3, 0x15, 0x72, + /* (2^131)P */ 0xd9, 0xa2, 0xe4, 0xea, 0x7e, 0xa9, 0x12, 0xfd, 0xc5, 0xf2, 0x94, 0x63, 0x51, 0xb7, 0x14, 0x95, 0x94, 0xf2, 0x08, 0x92, 0x80, 0xd5, 0x6f, 0x26, 0xb9, 0x26, 0x9a, 0x61, 0x85, 0x70, 0x84, 0x5c, + /* (2^132)P */ 0xea, 0x94, 0xd6, 0xfe, 0x10, 0x54, 0x98, 0x52, 0x54, 0xd2, 0x2e, 0x4a, 0x93, 0x5b, 0x90, 0x3c, 0x67, 0xe4, 0x3b, 0x2d, 0x69, 0x47, 0xbb, 0x10, 0xe1, 0xe9, 0xe5, 0x69, 0x2d, 0x3d, 0x3b, 0x06, + /* (2^133)P */ 0xeb, 0x7d, 0xa5, 0xdd, 0xee, 0x26, 0x27, 0x47, 0x91, 0x18, 0xf4, 0x10, 0xae, 0xc4, 0xb6, 0xef, 0x14, 0x76, 0x30, 0x7b, 0x91, 0x41, 0x16, 0x2b, 0x7c, 0x5b, 0xf4, 0xc4, 0x4f, 0x55, 0x7c, 0x11, + /* (2^134)P */ 0x12, 0x88, 0x9d, 0x8f, 0x11, 0xf3, 0x7c, 0xc0, 0x39, 0x79, 0x01, 0x50, 0x20, 0xd8, 0xdb, 0x01, 0x27, 0x28, 0x1b, 0x17, 0xf4, 0x03, 0xe8, 0xd7, 0xea, 0x25, 0xd2, 0x87, 0x74, 0xe8, 0x15, 0x10, + /* (2^135)P */ 0x4d, 0xcc, 0x3a, 0xd2, 0xfe, 0xe3, 0x8d, 0xc5, 0x2d, 0xbe, 0xa7, 0x94, 0xc2, 0x91, 0xdb, 0x50, 0x57, 0xf4, 0x9c, 0x1c, 0x3d, 0xd4, 0x94, 0x0b, 0x4a, 0x52, 0x37, 0x6e, 0xfa, 0x40, 0x16, 0x6b, + /* (2^136)P */ 0x09, 0x0d, 0xda, 0x5f, 0x6c, 0x34, 0x2f, 0x69, 0x51, 0x31, 0x4d, 0xfa, 0x59, 0x1c, 0x0b, 0x20, 0x96, 0xa2, 0x77, 0x07, 0x76, 0x6f, 0xc4, 0xb8, 0xcf, 0xfb, 0xfd, 0x3f, 0x5f, 0x39, 0x38, 0x4b, + /* (2^137)P */ 0x71, 0xd6, 0x54, 0xbe, 0x00, 0x5e, 0xd2, 0x18, 0xa6, 0xab, 0xc8, 0xbe, 0x82, 0x05, 0xd5, 0x60, 0x82, 0xb9, 0x78, 0x3b, 0x26, 0x8f, 0xad, 0x87, 0x32, 0x04, 0xda, 0x9c, 0x4e, 0xf6, 0xfd, 0x50, + /* (2^138)P */ 0xf0, 0xdc, 0x78, 0xc5, 0xaa, 0x67, 0xf5, 0x90, 0x3b, 0x13, 0xa3, 0xf2, 0x0e, 0x9b, 0x1e, 0xef, 0x71, 0xde, 0xd9, 0x42, 0x92, 0xba, 0xeb, 0x0e, 0xc7, 0x01, 0x31, 0xf0, 0x9b, 0x3c, 0x47, 0x15, + /* (2^139)P */ 0x95, 0x80, 0xb7, 0x56, 0xae, 0xe8, 0x77, 0x7c, 0x8e, 0x07, 0x6f, 0x6e, 0x66, 0xe7, 0x78, 0xb6, 0x1f, 0xba, 0x48, 0x53, 0x61, 0xb9, 0xa0, 0x2d, 0x0b, 0x3f, 0x73, 0xff, 0xc1, 0x31, 0xf9, 0x7c, + /* (2^140)P */ 0x6c, 0x36, 0x0a, 0x0a, 0xf5, 0x57, 0xb3, 0x26, 0x32, 0xd7, 0x87, 0x2b, 0xf4, 0x8c, 0x70, 0xe9, 0xc0, 0xb2, 0x1c, 0xf9, 0xa5, 0xee, 0x3a, 0xc1, 0x4c, 0xbb, 0x43, 0x11, 0x99, 0x0c, 0xd9, 0x35, + /* (2^141)P */ 0xdc, 0xd9, 0xa0, 0xa9, 0x04, 0xc4, 0xc1, 0x47, 0x51, 0xd2, 0x72, 0x19, 0x45, 0x58, 0x9e, 0x65, 0x31, 0x8c, 0xb3, 0x73, 0xc4, 0xa8, 0x75, 0x38, 0x24, 0x1f, 0x56, 0x79, 0xd3, 0x9e, 0xbd, 0x1f, + /* (2^142)P */ 0x8d, 0xc2, 0x1e, 0xd4, 0x6f, 0xbc, 0xfa, 0x11, 0xca, 0x2d, 0x2a, 0xcd, 0xe3, 0xdf, 0xf8, 0x7e, 0x95, 0x45, 0x40, 0x8c, 0x5d, 0x3b, 0xe7, 0x72, 0x27, 0x2f, 0xb7, 0x54, 0x49, 0xfa, 0x35, 0x61, + /* (2^143)P */ 0x9c, 0xb6, 0x24, 0xde, 0xa2, 0x32, 0xfc, 0xcc, 0x88, 0x5d, 0x09, 0x1f, 0x8c, 0x69, 0x55, 0x3f, 0x29, 0xf9, 0xc3, 0x5a, 0xed, 0x50, 0x33, 0xbe, 0xeb, 0x7e, 0x47, 0xca, 0x06, 0xf8, 0x9b, 0x5e, + /* (2^144)P */ 0x68, 0x9f, 0x30, 0x3c, 0xb6, 0x8f, 0xce, 0xe9, 0xf4, 0xf9, 0xe1, 0x65, 0x35, 0xf6, 0x76, 0x53, 0xf1, 0x93, 0x63, 0x5a, 0xb3, 0xcf, 0xaf, 0xd1, 0x06, 0x35, 0x62, 0xe5, 0xed, 0xa1, 0x32, 0x66, + /* (2^145)P */ 0x4c, 0xed, 0x2d, 0x0c, 0x39, 0x6c, 0x7d, 0x0b, 0x1f, 0xcb, 0x04, 0xdf, 0x81, 0x32, 0xcb, 0x56, 0xc7, 0xc3, 0xec, 0x49, 0x12, 0x5a, 0x30, 0x66, 0x2a, 0xa7, 0x8c, 0xa3, 0x60, 0x8b, 0x58, 0x5d, + /* (2^146)P */ 0x2d, 0xf4, 0xe5, 0xe8, 0x78, 0xbf, 0xec, 0xa6, 0xec, 0x3e, 0x8a, 0x3c, 0x4b, 0xb4, 0xee, 0x86, 0x04, 0x16, 0xd2, 0xfb, 0x48, 0x9c, 0x21, 0xec, 0x31, 0x67, 0xc3, 0x17, 0xf5, 0x1a, 0xaf, 0x1a, + /* (2^147)P */ 0xe7, 0xbd, 0x69, 0x67, 0x83, 0xa2, 0x06, 0xc3, 0xdb, 0x2a, 0x1e, 0x2b, 0x62, 0x80, 0x82, 0x20, 0xa6, 0x94, 0xff, 0xfb, 0x1f, 0xf5, 0x27, 0x80, 0x6b, 0xf2, 0x24, 0x11, 0xce, 0xa1, 0xcf, 0x76, + /* (2^148)P */ 0xb6, 0xab, 0x22, 0x24, 0x56, 0x00, 0xeb, 0x18, 0xc3, 0x29, 0x8c, 0x8f, 0xd5, 0xc4, 0x77, 0xf3, 0x1a, 0x56, 0x31, 0xf5, 0x07, 0xc2, 0xbb, 0x4d, 0x27, 0x8a, 0x12, 0x82, 0xf0, 0xb7, 0x53, 0x02, + /* (2^149)P */ 0xe0, 0x17, 0x2c, 0xb6, 0x1c, 0x09, 0x1f, 0x3d, 0xa9, 0x28, 0x46, 0xd6, 0xab, 0xe1, 0x60, 0x48, 0x53, 0x42, 0x9d, 0x30, 0x36, 0x74, 0xd1, 0x52, 0x76, 0xe5, 0xfa, 0x3e, 0xe1, 0x97, 0x6f, 0x35, + /* (2^150)P */ 0x5b, 0x53, 0x50, 0xa1, 0x1a, 0xe1, 0x51, 0xd3, 0xcc, 0x78, 0xd8, 0x1d, 0xbb, 0x45, 0x6b, 0x3e, 0x98, 0x2c, 0xd9, 0xbe, 0x28, 0x61, 0x77, 0x0c, 0xb8, 0x85, 0x28, 0x03, 0x93, 0xae, 0x34, 0x1d, + /* (2^151)P */ 0xc3, 0xa4, 0x5b, 0xa8, 0x8c, 0x48, 0xa0, 0x4b, 0xce, 0xe6, 0x9c, 0x3c, 0xc3, 0x48, 0x53, 0x98, 0x70, 0xa7, 0xbd, 0x97, 0x6f, 0x4c, 0x12, 0x66, 0x4a, 0x12, 0x54, 0x06, 0x29, 0xa0, 0x81, 0x0f, + /* (2^152)P */ 0xfd, 0x86, 0x9b, 0x56, 0xa6, 0x9c, 0xd0, 0x9e, 0x2d, 0x9a, 0xaf, 0x18, 0xfd, 0x09, 0x10, 0x81, 0x0a, 0xc2, 0xd8, 0x93, 0x3f, 0xd0, 0x08, 0xff, 0x6b, 0xf2, 0xae, 0x9f, 0x19, 0x48, 0xa1, 0x52, + /* (2^153)P */ 0x73, 0x1b, 0x8d, 0x2d, 0xdc, 0xf9, 0x03, 0x3e, 0x70, 0x1a, 0x96, 0x73, 0x18, 0x80, 0x05, 0x42, 0x70, 0x59, 0xa3, 0x41, 0xf0, 0x87, 0xd9, 0xc0, 0x49, 0xd5, 0xc0, 0xa1, 0x15, 0x1f, 0xaa, 0x07, + /* (2^154)P */ 0x24, 0x72, 0xd2, 0x8c, 0xe0, 0x6c, 0xd4, 0xdf, 0x39, 0x42, 0x4e, 0x93, 0x4f, 0x02, 0x0a, 0x6d, 0x59, 0x7b, 0x89, 0x99, 0x63, 0x7a, 0x8a, 0x80, 0xa2, 0x95, 0x3d, 0xe1, 0xe9, 0x56, 0x45, 0x0a, + /* (2^155)P */ 0x45, 0x30, 0xc1, 0xe9, 0x1f, 0x99, 0x1a, 0xd2, 0xb8, 0x51, 0x77, 0xfe, 0x48, 0x85, 0x0e, 0x9b, 0x35, 0x00, 0xf3, 0x4b, 0xcb, 0x43, 0xa6, 0x5d, 0x21, 0xf7, 0x40, 0x39, 0xd6, 0x28, 0xdb, 0x77, + /* (2^156)P */ 0x11, 0x90, 0xdc, 0x4a, 0x61, 0xeb, 0x5e, 0xfc, 0xeb, 0x11, 0xc4, 0xe8, 0x9a, 0x41, 0x29, 0x52, 0x74, 0xcf, 0x1d, 0x7d, 0x78, 0xe7, 0xc3, 0x9e, 0xb5, 0x4c, 0x6e, 0x21, 0x3e, 0x05, 0x0d, 0x34, + /* (2^157)P */ 0xb4, 0xf2, 0x8d, 0xb4, 0x39, 0xaf, 0xc7, 0xca, 0x94, 0x0a, 0xa1, 0x71, 0x28, 0xec, 0xfa, 0xc0, 0xed, 0x75, 0xa5, 0x5c, 0x24, 0x69, 0x0a, 0x14, 0x4c, 0x3a, 0x27, 0x34, 0x71, 0xc3, 0xf1, 0x0c, + /* (2^158)P */ 0xa5, 0xb8, 0x24, 0xc2, 0x6a, 0x30, 0xee, 0xc8, 0xb0, 0x30, 0x49, 0xcb, 0x7c, 0xee, 0xea, 0x57, 0x4f, 0xe7, 0xcb, 0xaa, 0xbd, 0x06, 0xe8, 0xa1, 0x7d, 0x65, 0xeb, 0x2e, 0x74, 0x62, 0x9a, 0x7d, + /* (2^159)P */ 0x30, 0x48, 0x6c, 0x54, 0xef, 0xb6, 0xb6, 0x9e, 0x2e, 0x6e, 0xb3, 0xdd, 0x1f, 0xca, 0x5c, 0x88, 0x05, 0x71, 0x0d, 0xef, 0x83, 0xf3, 0xb9, 0xe6, 0x12, 0x04, 0x2e, 0x9d, 0xef, 0x4f, 0x65, 0x58, + /* (2^160)P */ 0x26, 0x8e, 0x0e, 0xbe, 0xff, 0xc4, 0x05, 0xa9, 0x6e, 0x81, 0x31, 0x9b, 0xdf, 0xe5, 0x2d, 0x94, 0xe1, 0x88, 0x2e, 0x80, 0x3f, 0x72, 0x7d, 0x49, 0x8d, 0x40, 0x2f, 0x60, 0xea, 0x4d, 0x68, 0x30, + /* (2^161)P */ 0x34, 0xcb, 0xe6, 0xa3, 0x78, 0xa2, 0xe5, 0x21, 0xc4, 0x1d, 0x15, 0x5b, 0x6f, 0x6e, 0xfb, 0xae, 0x15, 0xca, 0x77, 0x9d, 0x04, 0x8e, 0x0b, 0xb3, 0x81, 0x89, 0xb9, 0x53, 0xcf, 0xc9, 0xc3, 0x28, + /* (2^162)P */ 0x2a, 0xdd, 0x6c, 0x55, 0x21, 0xb7, 0x7f, 0x28, 0x74, 0x22, 0x02, 0x97, 0xa8, 0x7c, 0x31, 0x0d, 0x58, 0x32, 0x54, 0x3a, 0x42, 0xc7, 0x68, 0x74, 0x2f, 0x64, 0xb5, 0x4e, 0x46, 0x11, 0x7f, 0x4a, + /* (2^163)P */ 0xa6, 0x3a, 0x19, 0x4d, 0x77, 0xa4, 0x37, 0xa2, 0xa1, 0x29, 0x21, 0xa9, 0x6e, 0x98, 0x65, 0xd8, 0x88, 0x1a, 0x7c, 0xf8, 0xec, 0x15, 0xc5, 0x24, 0xeb, 0xf5, 0x39, 0x5f, 0x57, 0x03, 0x40, 0x60, + /* (2^164)P */ 0x27, 0x9b, 0x0a, 0x57, 0x89, 0xf1, 0xb9, 0x47, 0x78, 0x4b, 0x5e, 0x46, 0xde, 0xce, 0x98, 0x2b, 0x20, 0x5c, 0xb8, 0xdb, 0x51, 0xf5, 0x6d, 0x02, 0x01, 0x19, 0xe2, 0x47, 0x10, 0xd9, 0xfc, 0x74, + /* (2^165)P */ 0xa3, 0xbf, 0xc1, 0x23, 0x0a, 0xa9, 0xe2, 0x13, 0xf6, 0x19, 0x85, 0x47, 0x4e, 0x07, 0xb0, 0x0c, 0x44, 0xcf, 0xf6, 0x3a, 0xbe, 0xcb, 0xf1, 0x5f, 0xbe, 0x2d, 0x81, 0xbe, 0x38, 0x54, 0xfe, 0x67, + /* (2^166)P */ 0xb0, 0x05, 0x0f, 0xa4, 0x4f, 0xf6, 0x3c, 0xd1, 0x87, 0x37, 0x28, 0x32, 0x2f, 0xfb, 0x4d, 0x05, 0xea, 0x2a, 0x0d, 0x7f, 0x5b, 0x91, 0x73, 0x41, 0x4e, 0x0d, 0x61, 0x1f, 0x4f, 0x14, 0x2f, 0x48, + /* (2^167)P */ 0x34, 0x82, 0x7f, 0xb4, 0x01, 0x02, 0x21, 0xf6, 0x90, 0xb9, 0x70, 0x9e, 0x92, 0xe1, 0x0a, 0x5d, 0x7c, 0x56, 0x49, 0xb0, 0x55, 0xf4, 0xd7, 0xdc, 0x01, 0x6f, 0x91, 0xf0, 0xf1, 0xd0, 0x93, 0x7e, + /* (2^168)P */ 0xfa, 0xb4, 0x7d, 0x8a, 0xf1, 0xcb, 0x79, 0xdd, 0x2f, 0xc6, 0x74, 0x6f, 0xbf, 0x91, 0x83, 0xbe, 0xbd, 0x91, 0x82, 0x4b, 0xd1, 0x45, 0x71, 0x02, 0x05, 0x17, 0xbf, 0x2c, 0xea, 0x73, 0x5a, 0x58, + /* (2^169)P */ 0xb2, 0x0d, 0x8a, 0x92, 0x3e, 0xa0, 0x5c, 0x48, 0xe7, 0x57, 0x28, 0x74, 0xa5, 0x01, 0xfc, 0x10, 0xa7, 0x51, 0xd5, 0xd6, 0xdb, 0x2e, 0x48, 0x2f, 0x8a, 0xdb, 0x8f, 0x04, 0xb5, 0x33, 0x04, 0x0f, + /* (2^170)P */ 0x47, 0x62, 0xdc, 0xd7, 0x8d, 0x2e, 0xda, 0x60, 0x9a, 0x81, 0xd4, 0x8c, 0xd3, 0xc9, 0xb4, 0x88, 0x97, 0x66, 0xf6, 0x01, 0xc0, 0x3a, 0x03, 0x13, 0x75, 0x7d, 0x36, 0x3b, 0xfe, 0x24, 0x3b, 0x27, + /* (2^171)P */ 0xd4, 0xb9, 0xb3, 0x31, 0x6a, 0xf6, 0xe8, 0xc6, 0xd5, 0x49, 0xdf, 0x94, 0xa4, 0x14, 0x15, 0x28, 0xa7, 0x3d, 0xb2, 0xc8, 0xdf, 0x6f, 0x72, 0xd1, 0x48, 0xe5, 0xde, 0x03, 0xd1, 0xe7, 0x3a, 0x4b, + /* (2^172)P */ 0x7e, 0x9d, 0x4b, 0xce, 0x19, 0x6e, 0x25, 0xc6, 0x1c, 0xc6, 0xe3, 0x86, 0xf1, 0x5c, 0x5c, 0xff, 0x45, 0xc1, 0x8e, 0x4b, 0xa3, 0x3c, 0xc6, 0xac, 0x74, 0x65, 0xe6, 0xfe, 0x88, 0x18, 0x62, 0x74, + /* (2^173)P */ 0x1e, 0x0a, 0x29, 0x45, 0x96, 0x40, 0x6f, 0x95, 0x2e, 0x96, 0x3a, 0x26, 0xe3, 0xf8, 0x0b, 0xef, 0x7b, 0x64, 0xc2, 0x5e, 0xeb, 0x50, 0x6a, 0xed, 0x02, 0x75, 0xca, 0x9d, 0x3a, 0x28, 0x94, 0x06, + /* (2^174)P */ 0xd1, 0xdc, 0xa2, 0x43, 0x36, 0x96, 0x9b, 0x76, 0x53, 0x53, 0xfc, 0x09, 0xea, 0xc8, 0xb7, 0x42, 0xab, 0x7e, 0x39, 0x13, 0xee, 0x2a, 0x00, 0x4f, 0x3a, 0xd6, 0xb7, 0x19, 0x2c, 0x5e, 0x00, 0x63, + /* (2^175)P */ 0xea, 0x3b, 0x02, 0x63, 0xda, 0x36, 0x67, 0xca, 0xb7, 0x99, 0x2a, 0xb1, 0x6d, 0x7f, 0x6c, 0x96, 0xe1, 0xc5, 0x37, 0xc5, 0x90, 0x93, 0xe0, 0xac, 0xee, 0x89, 0xaa, 0xa1, 0x63, 0x60, 0x69, 0x0b, + /* (2^176)P */ 0xe5, 0x56, 0x8c, 0x28, 0x97, 0x3e, 0xb0, 0xeb, 0xe8, 0x8b, 0x8c, 0x93, 0x9f, 0x9f, 0x2a, 0x43, 0x71, 0x7f, 0x71, 0x5b, 0x3d, 0xa9, 0xa5, 0xa6, 0x97, 0x9d, 0x8f, 0xe1, 0xc3, 0xb4, 0x5f, 0x1a, + /* (2^177)P */ 0xce, 0xcd, 0x60, 0x1c, 0xad, 0xe7, 0x94, 0x1c, 0xa0, 0xc4, 0x02, 0xfc, 0x43, 0x2a, 0x20, 0xee, 0x20, 0x6a, 0xc4, 0x67, 0xd8, 0xe4, 0xaf, 0x8d, 0x58, 0x7b, 0xc2, 0x8a, 0x3c, 0x26, 0x10, 0x0a, + /* (2^178)P */ 0x4a, 0x2a, 0x43, 0xe4, 0xdf, 0xa9, 0xde, 0xd0, 0xc5, 0x77, 0x92, 0xbe, 0x7b, 0xf8, 0x6a, 0x85, 0x1a, 0xc7, 0x12, 0xc2, 0xac, 0x72, 0x84, 0xce, 0x91, 0x1e, 0xbb, 0x9b, 0x6d, 0x1b, 0x15, 0x6f, + /* (2^179)P */ 0x6a, 0xd5, 0xee, 0x7c, 0x52, 0x6c, 0x77, 0x26, 0xec, 0xfa, 0xf8, 0xfb, 0xb7, 0x1c, 0x21, 0x7d, 0xcc, 0x09, 0x46, 0xfd, 0xa6, 0x66, 0xae, 0x37, 0x42, 0x0c, 0x77, 0xd2, 0x02, 0xb7, 0x81, 0x1f, + /* (2^180)P */ 0x92, 0x83, 0xc5, 0xea, 0x57, 0xb0, 0xb0, 0x2f, 0x9d, 0x4e, 0x74, 0x29, 0xfe, 0x89, 0xdd, 0xe1, 0xf8, 0xb4, 0xbe, 0x17, 0xeb, 0xf8, 0x64, 0xc9, 0x1e, 0xd4, 0xa2, 0xc9, 0x73, 0x10, 0x57, 0x29, + /* (2^181)P */ 0x54, 0xe2, 0xc0, 0x81, 0x89, 0xa1, 0x48, 0xa9, 0x30, 0x28, 0xb2, 0x65, 0x9b, 0x36, 0xf6, 0x2d, 0xc6, 0xd3, 0xcf, 0x5f, 0xd7, 0xb2, 0x3e, 0xa3, 0x1f, 0xa0, 0x99, 0x41, 0xec, 0xd6, 0x8c, 0x07, + /* (2^182)P */ 0x2f, 0x0d, 0x90, 0xad, 0x41, 0x4a, 0x58, 0x4a, 0x52, 0x4c, 0xc7, 0xe2, 0x78, 0x2b, 0x14, 0x32, 0x78, 0xc9, 0x31, 0x84, 0x33, 0xe8, 0xc4, 0x68, 0xc2, 0x9f, 0x68, 0x08, 0x90, 0xea, 0x69, 0x7f, + /* (2^183)P */ 0x65, 0x82, 0xa3, 0x46, 0x1e, 0xc8, 0xf2, 0x52, 0xfd, 0x32, 0xa8, 0x04, 0x2d, 0x07, 0x78, 0xfd, 0x94, 0x9e, 0x35, 0x25, 0xfa, 0xd5, 0xd7, 0x8c, 0xd2, 0x29, 0xcc, 0x54, 0x74, 0x1b, 0xe7, 0x4d, + /* (2^184)P */ 0xc9, 0x6a, 0xda, 0x1e, 0xad, 0x60, 0xeb, 0x42, 0x3a, 0x9c, 0xc0, 0xdb, 0xdf, 0x37, 0xad, 0x0a, 0x91, 0xc1, 0x3c, 0xe3, 0x71, 0x4b, 0x00, 0x81, 0x3c, 0x80, 0x22, 0x51, 0x34, 0xbe, 0xe6, 0x44, + /* (2^185)P */ 0xdb, 0x20, 0x19, 0xba, 0x88, 0x83, 0xfe, 0x03, 0x08, 0xb0, 0x0d, 0x15, 0x32, 0x7c, 0xd5, 0xf5, 0x29, 0x0c, 0xf6, 0x1a, 0x28, 0xc4, 0xc8, 0x49, 0xee, 0x1a, 0x70, 0xde, 0x18, 0xb5, 0xed, 0x21, + /* (2^186)P */ 0x99, 0xdc, 0x06, 0x8f, 0x41, 0x3e, 0xb6, 0x7f, 0xb8, 0xd7, 0x66, 0xc1, 0x99, 0x0d, 0x46, 0xa4, 0x83, 0x0a, 0x52, 0xce, 0x48, 0x52, 0xdd, 0x24, 0x58, 0x83, 0x92, 0x2b, 0x71, 0xad, 0xc3, 0x5e, + /* (2^187)P */ 0x0f, 0x93, 0x17, 0xbd, 0x5f, 0x2a, 0x02, 0x15, 0xe3, 0x70, 0x25, 0xd8, 0x77, 0x4a, 0xf6, 0xa4, 0x12, 0x37, 0x78, 0x15, 0x69, 0x8d, 0xbc, 0x12, 0xbb, 0x0a, 0x62, 0xfc, 0xc0, 0x94, 0x81, 0x49, + /* (2^188)P */ 0x82, 0x6c, 0x68, 0x55, 0xd2, 0xd9, 0xa2, 0x38, 0xf0, 0x21, 0x3e, 0x19, 0xd9, 0x6b, 0x5c, 0x78, 0x84, 0x54, 0x4a, 0xb2, 0x1a, 0xc8, 0xd5, 0xe4, 0x89, 0x09, 0xe2, 0xb2, 0x60, 0x78, 0x30, 0x56, + /* (2^189)P */ 0xc4, 0x74, 0x4d, 0x8b, 0xf7, 0x55, 0x9d, 0x42, 0x31, 0x01, 0x35, 0x43, 0x46, 0x83, 0xf1, 0x22, 0xff, 0x1f, 0xc7, 0x98, 0x45, 0xc2, 0x60, 0x1e, 0xef, 0x83, 0x99, 0x97, 0x14, 0xf0, 0xf2, 0x59, + /* (2^190)P */ 0x44, 0x4a, 0x49, 0xeb, 0x56, 0x7d, 0xa4, 0x46, 0x8e, 0xa1, 0x36, 0xd6, 0x54, 0xa8, 0x22, 0x3e, 0x3b, 0x1c, 0x49, 0x74, 0x52, 0xe1, 0x46, 0xb3, 0xe7, 0xcd, 0x90, 0x53, 0x4e, 0xfd, 0xea, 0x2c, + /* (2^191)P */ 0x75, 0x66, 0x0d, 0xbe, 0x38, 0x85, 0x8a, 0xba, 0x23, 0x8e, 0x81, 0x50, 0xbb, 0x74, 0x90, 0x4b, 0xc3, 0x04, 0xd3, 0x85, 0x90, 0xb8, 0xda, 0xcb, 0xc4, 0x92, 0x61, 0xe5, 0xe0, 0x4f, 0xa2, 0x61, + /* (2^192)P */ 0xcb, 0x5b, 0x52, 0xdb, 0xe6, 0x15, 0x76, 0xcb, 0xca, 0xe4, 0x67, 0xa5, 0x35, 0x8c, 0x7d, 0xdd, 0x69, 0xdd, 0xfc, 0xca, 0x3a, 0x15, 0xb4, 0xe6, 0x66, 0x97, 0x3c, 0x7f, 0x09, 0x8e, 0x66, 0x2d, + /* (2^193)P */ 0xf0, 0x5e, 0xe5, 0x5c, 0x26, 0x7e, 0x7e, 0xa5, 0x67, 0xb9, 0xd4, 0x7c, 0x52, 0x4e, 0x9f, 0x5d, 0xe5, 0xd1, 0x2f, 0x49, 0x06, 0x36, 0xc8, 0xfb, 0xae, 0xf7, 0xc3, 0xb7, 0xbe, 0x52, 0x0d, 0x09, + /* (2^194)P */ 0x7c, 0x4d, 0x7b, 0x1e, 0x5a, 0x51, 0xb9, 0x09, 0xc0, 0x44, 0xda, 0x99, 0x25, 0x6a, 0x26, 0x1f, 0x04, 0x55, 0xc5, 0xe2, 0x48, 0x95, 0xc4, 0xa1, 0xcc, 0x15, 0x6f, 0x12, 0x87, 0x42, 0xf0, 0x7e, + /* (2^195)P */ 0x15, 0xef, 0x30, 0xbd, 0x9d, 0x65, 0xd1, 0xfe, 0x7b, 0x27, 0xe0, 0xc4, 0xee, 0xb9, 0x4a, 0x8b, 0x91, 0x32, 0xdf, 0xa5, 0x36, 0x62, 0x4d, 0x88, 0x88, 0xf7, 0x5c, 0xbf, 0xa6, 0x6e, 0xd9, 0x1f, + /* (2^196)P */ 0x9a, 0x0d, 0x19, 0x1f, 0x98, 0x61, 0xa1, 0x42, 0xc1, 0x52, 0x60, 0x7e, 0x50, 0x49, 0xd8, 0x61, 0xd5, 0x2c, 0x5a, 0x28, 0xbf, 0x13, 0xe1, 0x9f, 0xd8, 0x85, 0xad, 0xdb, 0x76, 0xd6, 0x22, 0x7c, + /* (2^197)P */ 0x7d, 0xd2, 0xfb, 0x2b, 0xed, 0x70, 0xe7, 0x82, 0xa5, 0xf5, 0x96, 0xe9, 0xec, 0xb2, 0x05, 0x4c, 0x50, 0x01, 0x90, 0xb0, 0xc2, 0xa9, 0x40, 0xcd, 0x64, 0xbf, 0xd9, 0x13, 0x92, 0x31, 0x95, 0x58, + /* (2^198)P */ 0x08, 0x2e, 0xea, 0x3f, 0x70, 0x5d, 0xcc, 0xe7, 0x8c, 0x18, 0xe2, 0x58, 0x12, 0x49, 0x0c, 0xb5, 0xf0, 0x5b, 0x20, 0x48, 0xaa, 0x0b, 0xe3, 0xcc, 0x62, 0x2d, 0xa3, 0xcf, 0x9c, 0x65, 0x7c, 0x53, + /* (2^199)P */ 0x88, 0xc0, 0xcf, 0x98, 0x3a, 0x62, 0xb6, 0x37, 0xa4, 0xac, 0xd6, 0xa4, 0x1f, 0xed, 0x9b, 0xfe, 0xb0, 0xd1, 0xa8, 0x56, 0x8e, 0x9b, 0xd2, 0x04, 0x75, 0x95, 0x51, 0x0b, 0xc4, 0x71, 0x5f, 0x72, + /* (2^200)P */ 0xe6, 0x9c, 0x33, 0xd0, 0x9c, 0xf8, 0xc7, 0x28, 0x8b, 0xc1, 0xdd, 0x69, 0x44, 0xb1, 0x67, 0x83, 0x2c, 0x65, 0xa1, 0xa6, 0x83, 0xda, 0x3a, 0x88, 0x17, 0x6c, 0x4d, 0x03, 0x74, 0x19, 0x5f, 0x58, + /* (2^201)P */ 0x88, 0x91, 0xb1, 0xf1, 0x66, 0xb2, 0xcf, 0x89, 0x17, 0x52, 0xc3, 0xe7, 0x63, 0x48, 0x3b, 0xe6, 0x6a, 0x52, 0xc0, 0xb4, 0xa6, 0x9d, 0x8c, 0xd8, 0x35, 0x46, 0x95, 0xf0, 0x9d, 0x5c, 0x03, 0x3e, + /* (2^202)P */ 0x9d, 0xde, 0x45, 0xfb, 0x12, 0x54, 0x9d, 0xdd, 0x0d, 0xf4, 0xcf, 0xe4, 0x32, 0x45, 0x68, 0xdd, 0x1c, 0x67, 0x1d, 0x15, 0x9b, 0x99, 0x5c, 0x4b, 0x90, 0xf6, 0xe7, 0x11, 0xc8, 0x2c, 0x8c, 0x2d, + /* (2^203)P */ 0x40, 0x5d, 0x05, 0x90, 0x1d, 0xbe, 0x54, 0x7f, 0x40, 0xaf, 0x4a, 0x46, 0xdf, 0xc5, 0x64, 0xa4, 0xbe, 0x17, 0xe9, 0xf0, 0x24, 0x96, 0x97, 0x33, 0x30, 0x6b, 0x35, 0x27, 0xc5, 0x8d, 0x01, 0x2c, + /* (2^204)P */ 0xd4, 0xb3, 0x30, 0xe3, 0x24, 0x50, 0x41, 0xa5, 0xd3, 0x52, 0x16, 0x69, 0x96, 0x3d, 0xff, 0x73, 0xf1, 0x59, 0x9b, 0xef, 0xc4, 0x42, 0xec, 0x94, 0x5a, 0x8e, 0xd0, 0x18, 0x16, 0x20, 0x47, 0x07, + /* (2^205)P */ 0x53, 0x1c, 0x41, 0xca, 0x8a, 0xa4, 0x6c, 0x4d, 0x19, 0x61, 0xa6, 0xcf, 0x2f, 0x5f, 0x41, 0x66, 0xff, 0x27, 0xe2, 0x51, 0x00, 0xd4, 0x4d, 0x9c, 0xeb, 0xf7, 0x02, 0x9a, 0xc0, 0x0b, 0x81, 0x59, + /* (2^206)P */ 0x1d, 0x10, 0xdc, 0xb3, 0x71, 0xb1, 0x7e, 0x2a, 0x8e, 0xf6, 0xfe, 0x9f, 0xb9, 0x5a, 0x1c, 0x44, 0xea, 0x59, 0xb3, 0x93, 0x9b, 0x5c, 0x02, 0x32, 0x2f, 0x11, 0x9d, 0x1e, 0xa7, 0xe0, 0x8c, 0x5e, + /* (2^207)P */ 0xfd, 0x03, 0x95, 0x42, 0x92, 0xcb, 0xcc, 0xbf, 0x55, 0x5d, 0x09, 0x2f, 0x75, 0xba, 0x71, 0xd2, 0x1e, 0x09, 0x2d, 0x97, 0x5e, 0xad, 0x5e, 0x34, 0xba, 0x03, 0x31, 0xa8, 0x11, 0xdf, 0xc8, 0x18, + /* (2^208)P */ 0x4c, 0x0f, 0xed, 0x9a, 0x9a, 0x94, 0xcd, 0x90, 0x7e, 0xe3, 0x60, 0x66, 0xcb, 0xf4, 0xd1, 0xc5, 0x0b, 0x2e, 0xc5, 0x56, 0x2d, 0xc5, 0xca, 0xb8, 0x0d, 0x8e, 0x80, 0xc5, 0x00, 0xe4, 0x42, 0x6e, + /* (2^209)P */ 0x23, 0xfd, 0xae, 0xee, 0x66, 0x69, 0xb4, 0xa3, 0xca, 0xcd, 0x9e, 0xe3, 0x0b, 0x1f, 0x4f, 0x0c, 0x1d, 0xa5, 0x83, 0xd6, 0xc9, 0xc8, 0x9d, 0x18, 0x1b, 0x35, 0x09, 0x4c, 0x05, 0x7f, 0xf2, 0x51, + /* (2^210)P */ 0x82, 0x06, 0x32, 0x2a, 0xcd, 0x7c, 0x48, 0x4c, 0x96, 0x1c, 0xdf, 0xb3, 0x5b, 0xa9, 0x7e, 0x58, 0xe8, 0xb8, 0x5c, 0x55, 0x9e, 0xf7, 0xcc, 0xc8, 0x3d, 0xd7, 0x06, 0xa2, 0x29, 0xc8, 0x7d, 0x54, + /* (2^211)P */ 0x06, 0x9b, 0xc3, 0x80, 0xcd, 0xa6, 0x22, 0xb8, 0xc6, 0xd4, 0x00, 0x20, 0x73, 0x54, 0x6d, 0xe9, 0x4d, 0x3b, 0x46, 0x91, 0x6f, 0x5b, 0x53, 0x28, 0x1d, 0x6e, 0x48, 0xe2, 0x60, 0x46, 0x8f, 0x22, + /* (2^212)P */ 0xbf, 0x3a, 0x8d, 0xde, 0x38, 0x95, 0x79, 0x98, 0x6e, 0xca, 0xeb, 0x45, 0x00, 0x33, 0xd8, 0x8c, 0x38, 0xe7, 0x21, 0x82, 0x00, 0x2a, 0x95, 0x79, 0xbb, 0xd2, 0x5c, 0x53, 0xa7, 0xe1, 0x22, 0x43, + /* (2^213)P */ 0x1c, 0x80, 0xd1, 0x19, 0x18, 0xc1, 0x14, 0xb1, 0xc7, 0x5e, 0x3f, 0x4f, 0xd8, 0xe4, 0x16, 0x20, 0x4c, 0x0f, 0x26, 0x09, 0xf4, 0x2d, 0x0e, 0xdd, 0x66, 0x72, 0x5f, 0xae, 0xc0, 0x62, 0xc3, 0x5e, + /* (2^214)P */ 0xee, 0xb4, 0xb2, 0xb8, 0x18, 0x2b, 0x46, 0xc0, 0xfb, 0x1a, 0x4d, 0x27, 0x50, 0xd9, 0xc8, 0x7c, 0xd2, 0x02, 0x6b, 0x43, 0x05, 0x71, 0x5f, 0xf2, 0xd3, 0xcc, 0xf9, 0xbf, 0xdc, 0xf8, 0xbb, 0x43, + /* (2^215)P */ 0xdf, 0xe9, 0x39, 0xa0, 0x67, 0x17, 0xad, 0xb6, 0x83, 0x35, 0x9d, 0xf6, 0xa8, 0x4d, 0x71, 0xb0, 0xf5, 0x31, 0x29, 0xb4, 0x18, 0xfa, 0x55, 0x5e, 0x61, 0x09, 0xc6, 0x33, 0x8f, 0x55, 0xd5, 0x4e, + /* (2^216)P */ 0xdd, 0xa5, 0x47, 0xc6, 0x01, 0x79, 0xe3, 0x1f, 0x57, 0xd3, 0x81, 0x80, 0x1f, 0xdf, 0x3d, 0x59, 0xa6, 0xd7, 0x3f, 0x81, 0xfd, 0xa4, 0x49, 0x02, 0x61, 0xaf, 0x9c, 0x4e, 0x27, 0xca, 0xac, 0x69, + /* (2^217)P */ 0xc9, 0x21, 0x07, 0x33, 0xea, 0xa3, 0x7b, 0x04, 0xa0, 0x1e, 0x7e, 0x0e, 0xc2, 0x3f, 0x42, 0x83, 0x60, 0x4a, 0x31, 0x01, 0xaf, 0xc0, 0xf4, 0x1d, 0x27, 0x95, 0x28, 0x89, 0xab, 0x2d, 0xa6, 0x09, + /* (2^218)P */ 0x00, 0xcb, 0xc6, 0x9c, 0xa4, 0x25, 0xb3, 0xa5, 0xb6, 0x6c, 0xb5, 0x54, 0xc6, 0x5d, 0x4b, 0xe9, 0xa0, 0x94, 0xc9, 0xad, 0x79, 0x87, 0xe2, 0x3b, 0xad, 0x4a, 0x3a, 0xba, 0xf8, 0xe8, 0x96, 0x42, + /* (2^219)P */ 0xab, 0x1e, 0x45, 0x1e, 0x76, 0x89, 0x86, 0x32, 0x4a, 0x59, 0x59, 0xff, 0x8b, 0x59, 0x4d, 0x2e, 0x4a, 0x08, 0xa7, 0xd7, 0x53, 0x68, 0xb9, 0x49, 0xa8, 0x20, 0x14, 0x60, 0x19, 0xa3, 0x80, 0x49, + /* (2^220)P */ 0x42, 0x2c, 0x55, 0x2f, 0xe1, 0xb9, 0x65, 0x95, 0x96, 0xfe, 0x00, 0x71, 0xdb, 0x18, 0x53, 0x8a, 0xd7, 0xd0, 0xad, 0x43, 0x4d, 0x0b, 0xc9, 0x05, 0xda, 0x4e, 0x5d, 0x6a, 0xd6, 0x4c, 0x8b, 0x53, + /* (2^221)P */ 0x9f, 0x03, 0x9f, 0xe8, 0xc3, 0x4f, 0xe9, 0xf4, 0x45, 0x80, 0x61, 0x6f, 0xf2, 0x9a, 0x2c, 0x59, 0x50, 0x95, 0x4b, 0xfd, 0xb5, 0x6e, 0xa3, 0x08, 0x19, 0x14, 0xed, 0xc2, 0xf6, 0xfa, 0xff, 0x25, + /* (2^222)P */ 0x54, 0xd3, 0x79, 0xcc, 0x59, 0x44, 0x43, 0x34, 0x6b, 0x47, 0xd5, 0xb1, 0xb4, 0xbf, 0xec, 0xee, 0x99, 0x5d, 0x61, 0x61, 0xa0, 0x34, 0xeb, 0xdd, 0x73, 0xb7, 0x64, 0xeb, 0xcc, 0xce, 0x29, 0x51, + /* (2^223)P */ 0x20, 0x35, 0x99, 0x94, 0x58, 0x21, 0x43, 0xee, 0x3b, 0x0b, 0x4c, 0xf1, 0x7c, 0x9c, 0x2f, 0x77, 0xd5, 0xda, 0xbe, 0x06, 0xe3, 0xfc, 0xe2, 0xd2, 0x97, 0x6a, 0xf0, 0x46, 0xb5, 0x42, 0x5f, 0x71, + /* (2^224)P */ 0x1a, 0x5f, 0x5b, 0xda, 0xce, 0xcd, 0x4e, 0x43, 0xa9, 0x41, 0x97, 0xa4, 0x15, 0x71, 0xa1, 0x0d, 0x2e, 0xad, 0xed, 0x73, 0x7c, 0xd7, 0x0b, 0x68, 0x41, 0x90, 0xdd, 0x4e, 0x35, 0x02, 0x7c, 0x48, + /* (2^225)P */ 0xc4, 0xd9, 0x0e, 0xa7, 0xf3, 0xef, 0xef, 0xb8, 0x02, 0xe3, 0x57, 0xe8, 0xa3, 0x2a, 0xa3, 0x56, 0xa0, 0xa5, 0xa2, 0x48, 0xbd, 0x68, 0x3a, 0xdf, 0x44, 0xc4, 0x76, 0x31, 0xb7, 0x50, 0xf6, 0x07, + /* (2^226)P */ 0xb1, 0xcc, 0xe0, 0x26, 0x16, 0x9b, 0x8b, 0xe3, 0x36, 0xfb, 0x09, 0x8b, 0xc1, 0x53, 0xe0, 0x79, 0x64, 0x49, 0xf9, 0xc9, 0x19, 0x03, 0xd9, 0x56, 0xc4, 0xf5, 0x9f, 0xac, 0xe7, 0x41, 0xa9, 0x1c, + /* (2^227)P */ 0xbb, 0xa0, 0x2f, 0x16, 0x29, 0xdf, 0xc4, 0x49, 0x05, 0x33, 0xb3, 0x82, 0x32, 0xcf, 0x88, 0x84, 0x7d, 0x43, 0xbb, 0xca, 0x14, 0xda, 0xdf, 0x95, 0x86, 0xad, 0xd5, 0x64, 0x82, 0xf7, 0x91, 0x33, + /* (2^228)P */ 0x5d, 0x09, 0xb5, 0xe2, 0x6a, 0xe0, 0x9a, 0x72, 0x46, 0xa9, 0x59, 0x32, 0xd7, 0x58, 0x8a, 0xd5, 0xed, 0x21, 0x39, 0xd1, 0x62, 0x42, 0x83, 0xe9, 0x92, 0xb5, 0x4b, 0xa5, 0xfa, 0xda, 0xfe, 0x27, + /* (2^229)P */ 0xbb, 0x48, 0xad, 0x29, 0xb8, 0xc5, 0x9d, 0xa9, 0x60, 0xe2, 0x9e, 0x49, 0x42, 0x57, 0x02, 0x5f, 0xfd, 0x13, 0x75, 0x5d, 0xcd, 0x8e, 0x2c, 0x80, 0x38, 0xd9, 0x6d, 0x3f, 0xef, 0xb3, 0xce, 0x78, + /* (2^230)P */ 0x94, 0x5d, 0x13, 0x8a, 0x4f, 0xf4, 0x42, 0xc3, 0xa3, 0xdd, 0x8c, 0x82, 0x44, 0xdb, 0x9e, 0x7b, 0xe7, 0xcf, 0x37, 0x05, 0x1a, 0xd1, 0x36, 0x94, 0xc8, 0xb4, 0x1a, 0xec, 0x64, 0xb1, 0x64, 0x50, + /* (2^231)P */ 0xfc, 0xb2, 0x7e, 0xd3, 0xcf, 0xec, 0x20, 0x70, 0xfc, 0x25, 0x0d, 0xd9, 0x3e, 0xea, 0x31, 0x1f, 0x34, 0xbb, 0xa1, 0xdf, 0x7b, 0x0d, 0x93, 0x1b, 0x44, 0x30, 0x11, 0x48, 0x7a, 0x46, 0x44, 0x53, + /* (2^232)P */ 0xfb, 0x6d, 0x5e, 0xf2, 0x70, 0x31, 0x07, 0x70, 0xc8, 0x4c, 0x11, 0x50, 0x1a, 0xdc, 0x85, 0xe3, 0x00, 0x4f, 0xfc, 0xc8, 0x8a, 0x69, 0x48, 0x23, 0xd8, 0x40, 0xdd, 0x84, 0x52, 0xa5, 0x77, 0x2a, + /* (2^233)P */ 0xe4, 0x6c, 0x8c, 0xc9, 0xe0, 0xaf, 0x06, 0xfe, 0xe4, 0xd6, 0xdf, 0xdd, 0x96, 0xdf, 0x35, 0xc2, 0xd3, 0x1e, 0xbf, 0x33, 0x1e, 0xd0, 0x28, 0x14, 0xaf, 0xbd, 0x00, 0x93, 0xec, 0x68, 0x57, 0x78, + /* (2^234)P */ 0x3b, 0xb6, 0xde, 0x91, 0x7a, 0xe5, 0x02, 0x97, 0x80, 0x8b, 0xce, 0xe5, 0xbf, 0xb8, 0xbd, 0x61, 0xac, 0x58, 0x1d, 0x3d, 0x6f, 0x42, 0x5b, 0x64, 0xbc, 0x57, 0xa5, 0x27, 0x22, 0xa8, 0x04, 0x48, + /* (2^235)P */ 0x01, 0x26, 0x4d, 0xb4, 0x8a, 0x04, 0x57, 0x8e, 0x35, 0x69, 0x3a, 0x4b, 0x1a, 0x50, 0xd6, 0x68, 0x93, 0xc2, 0xe1, 0xf9, 0xc3, 0x9e, 0x9c, 0xc3, 0xe2, 0x63, 0xde, 0xd4, 0x57, 0xf2, 0x72, 0x41, + /* (2^236)P */ 0x01, 0x64, 0x0c, 0x33, 0x50, 0xb4, 0x68, 0xd3, 0x91, 0x23, 0x8f, 0x41, 0x17, 0x30, 0x0d, 0x04, 0x0d, 0xd9, 0xb7, 0x90, 0x60, 0xbb, 0x34, 0x2c, 0x1f, 0xd5, 0xdf, 0x8f, 0x22, 0x49, 0xf6, 0x16, + /* (2^237)P */ 0xf5, 0x8e, 0x92, 0x2b, 0x8e, 0x81, 0xa6, 0xbe, 0x72, 0x1e, 0xc1, 0xcd, 0x91, 0xcf, 0x8c, 0xe2, 0xcd, 0x36, 0x7a, 0xe7, 0x68, 0xaa, 0x4a, 0x59, 0x0f, 0xfd, 0x7f, 0x6c, 0x80, 0x34, 0x30, 0x31, + /* (2^238)P */ 0x65, 0xbd, 0x49, 0x22, 0xac, 0x27, 0x9d, 0x8a, 0x12, 0x95, 0x8e, 0x01, 0x64, 0xb4, 0xa3, 0x19, 0xc7, 0x7e, 0xb3, 0x52, 0xf3, 0xcf, 0x6c, 0xc2, 0x21, 0x7b, 0x79, 0x1d, 0x34, 0x68, 0x6f, 0x05, + /* (2^239)P */ 0x27, 0x23, 0xfd, 0x7e, 0x75, 0xd6, 0x79, 0x5e, 0x15, 0xfe, 0x3a, 0x55, 0xb6, 0xbc, 0xbd, 0xfa, 0x60, 0x5a, 0xaf, 0x6e, 0x2c, 0x22, 0xe7, 0xd3, 0x3b, 0x74, 0xae, 0x4d, 0x6d, 0xc7, 0x46, 0x70, + /* (2^240)P */ 0x55, 0x4a, 0x8d, 0xb1, 0x72, 0xe8, 0x0b, 0x66, 0x96, 0x14, 0x4e, 0x57, 0x18, 0x25, 0x99, 0x19, 0xbb, 0xdc, 0x2b, 0x30, 0x3a, 0x05, 0x03, 0xc1, 0x8e, 0x8e, 0x21, 0x0b, 0x80, 0xe9, 0xd8, 0x3e, + /* (2^241)P */ 0x3e, 0xe0, 0x75, 0xfa, 0x39, 0x92, 0x0b, 0x7b, 0x83, 0xc0, 0x33, 0x46, 0x68, 0xfb, 0xe9, 0xef, 0x93, 0x77, 0x1a, 0x39, 0xbe, 0x5f, 0xa3, 0x98, 0x34, 0xfe, 0xd0, 0xe2, 0x0f, 0x51, 0x65, 0x60, + /* (2^242)P */ 0x0c, 0xad, 0xab, 0x48, 0x85, 0x66, 0xcb, 0x55, 0x27, 0xe5, 0x87, 0xda, 0x48, 0x45, 0x58, 0xb4, 0xdd, 0xc1, 0x07, 0x01, 0xea, 0xec, 0x43, 0x2c, 0x35, 0xde, 0x72, 0x93, 0x80, 0x28, 0x60, 0x52, + /* (2^243)P */ 0x1f, 0x3b, 0x21, 0xf9, 0x6a, 0xc5, 0x15, 0x34, 0xdb, 0x98, 0x7e, 0x01, 0x4d, 0x1a, 0xee, 0x5b, 0x9b, 0x70, 0xcf, 0xb5, 0x05, 0xb1, 0xf6, 0x13, 0xb6, 0x9a, 0xb2, 0x82, 0x34, 0x0e, 0xf2, 0x5f, + /* (2^244)P */ 0x90, 0x6c, 0x2e, 0xcc, 0x75, 0x9c, 0xa2, 0x0a, 0x06, 0xe2, 0x70, 0x3a, 0xca, 0x73, 0x7d, 0xfc, 0x15, 0xc5, 0xb5, 0xc4, 0x8f, 0xc3, 0x9f, 0x89, 0x07, 0xc2, 0xff, 0x24, 0xb1, 0x86, 0x03, 0x25, + /* (2^245)P */ 0x56, 0x2b, 0x3d, 0xae, 0xd5, 0x28, 0xea, 0x54, 0xce, 0x60, 0xde, 0xd6, 0x9d, 0x14, 0x13, 0x99, 0xc1, 0xd6, 0x06, 0x8f, 0xc5, 0x4f, 0x69, 0x16, 0xc7, 0x8f, 0x01, 0xeb, 0x75, 0x39, 0xb2, 0x46, + /* (2^246)P */ 0xe2, 0xb4, 0xb7, 0xb4, 0x0f, 0x6a, 0x0a, 0x47, 0xde, 0x53, 0x72, 0x8f, 0x5a, 0x47, 0x92, 0x5d, 0xdb, 0x3a, 0xbd, 0x2f, 0xb5, 0xe5, 0xee, 0xab, 0x68, 0x69, 0x80, 0xa0, 0x01, 0x08, 0xa2, 0x7f, + /* (2^247)P */ 0xd2, 0x14, 0x77, 0x9f, 0xf1, 0xfa, 0xf3, 0x76, 0xc3, 0x60, 0x46, 0x2f, 0xc1, 0x40, 0xe8, 0xb3, 0x4e, 0x74, 0x12, 0xf2, 0x8d, 0xcd, 0xb4, 0x0f, 0xd2, 0x2d, 0x3a, 0x1d, 0x25, 0x5a, 0x06, 0x4b, + /* (2^248)P */ 0x4a, 0xcd, 0x77, 0x3d, 0x38, 0xde, 0xeb, 0x5c, 0xb1, 0x9c, 0x2c, 0x88, 0xdf, 0x39, 0xdf, 0x6a, 0x59, 0xf7, 0x9a, 0xb0, 0x2e, 0x24, 0xdd, 0xa2, 0x22, 0x64, 0x5f, 0x0e, 0xe5, 0xc0, 0x47, 0x31, + /* (2^249)P */ 0xdb, 0x50, 0x13, 0x1d, 0x10, 0xa5, 0x4c, 0x16, 0x62, 0xc9, 0x3f, 0xc3, 0x79, 0x34, 0xd1, 0xf8, 0x08, 0xda, 0xe5, 0x13, 0x4d, 0xce, 0x40, 0xe6, 0xba, 0xf8, 0x61, 0x50, 0xc4, 0xe0, 0xde, 0x4b, + /* (2^250)P */ 0xc9, 0xb1, 0xed, 0xa4, 0xc1, 0x6d, 0xc4, 0xd7, 0x8a, 0xd9, 0x7f, 0x43, 0xb6, 0xd7, 0x14, 0x55, 0x0b, 0xc0, 0xa1, 0xb2, 0x6b, 0x2f, 0x94, 0x58, 0x0e, 0x71, 0x70, 0x1d, 0xab, 0xb2, 0xff, 0x2d, + /* (2^251)P */ 0x68, 0x6d, 0x8b, 0xc1, 0x2f, 0xcf, 0xdf, 0xcc, 0x67, 0x61, 0x80, 0xb7, 0xa8, 0xcb, 0xeb, 0xa8, 0xe3, 0x37, 0x29, 0x5e, 0xf9, 0x97, 0x06, 0x98, 0x8c, 0x6e, 0x12, 0xd0, 0x1c, 0xba, 0xfb, 0x02, + /* (2^252)P */ 0x65, 0x45, 0xff, 0xad, 0x60, 0xc3, 0x98, 0xcb, 0x19, 0x15, 0xdb, 0x4b, 0xd2, 0x01, 0x71, 0x44, 0xd5, 0x15, 0xfb, 0x75, 0x74, 0xc8, 0xc4, 0x98, 0x7d, 0xa2, 0x22, 0x6e, 0x6d, 0xc7, 0xf8, 0x05, + /* (2^253)P */ 0x94, 0xf4, 0xb9, 0xfe, 0xdf, 0xe5, 0x69, 0xab, 0x75, 0x6b, 0x40, 0x18, 0x9d, 0xc7, 0x09, 0xae, 0x1d, 0x2d, 0xa4, 0x94, 0xfb, 0x45, 0x9b, 0x19, 0x84, 0xfa, 0x2a, 0xae, 0xeb, 0x0a, 0x71, 0x79, + /* (2^254)P */ 0xdf, 0xd2, 0x34, 0xf3, 0xa7, 0xed, 0xad, 0xa6, 0xb4, 0x57, 0x2a, 0xaf, 0x51, 0x9c, 0xde, 0x7b, 0xa8, 0xea, 0xdc, 0x86, 0x4f, 0xc6, 0x8f, 0xa9, 0x7b, 0xd0, 0x0e, 0xc2, 0x35, 0x03, 0xbe, 0x6b, + /* (2^255)P */ 0x44, 0x43, 0x98, 0x53, 0xbe, 0xdc, 0x7f, 0x66, 0xa8, 0x49, 0x59, 0x00, 0x1c, 0xbc, 0x72, 0x07, 0x8e, 0xd6, 0xbe, 0x4e, 0x9f, 0xa4, 0x07, 0xba, 0xbf, 0x30, 0xdf, 0xba, 0x85, 0xb0, 0xa7, 0x1f, +} diff --git a/vendor/github.com/cloudflare/circl/dh/x448/curve.go b/vendor/github.com/cloudflare/circl/dh/x448/curve.go new file mode 100644 index 0000000000..d59564e4b4 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x448/curve.go @@ -0,0 +1,104 @@ +package x448 + +import ( + fp "github.com/cloudflare/circl/math/fp448" +) + +// ladderJoye calculates a fixed-point multiplication with the generator point. +// The algorithm is the right-to-left Joye's ladder as described +// in "How to precompute a ladder" in SAC'2017. +func ladderJoye(k *Key) { + w := [5]fp.Elt{} // [mu,x1,z1,x2,z2] order must be preserved. + w[1] = fp.Elt{ // x1 = S + 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + } + fp.SetOne(&w[2]) // z1 = 1 + w[3] = fp.Elt{ // x2 = G-S + 0x20, 0x27, 0x9d, 0xc9, 0x7d, 0x19, 0xb1, 0xac, + 0xf8, 0xba, 0x69, 0x1c, 0xff, 0x33, 0xac, 0x23, + 0x51, 0x1b, 0xce, 0x3a, 0x64, 0x65, 0xbd, 0xf1, + 0x23, 0xf8, 0xc1, 0x84, 0x9d, 0x45, 0x54, 0x29, + 0x67, 0xb9, 0x81, 0x1c, 0x03, 0xd1, 0xcd, 0xda, + 0x7b, 0xeb, 0xff, 0x1a, 0x88, 0x03, 0xcf, 0x3a, + 0x42, 0x44, 0x32, 0x01, 0x25, 0xb7, 0xfa, 0xf0, + } + fp.SetOne(&w[4]) // z2 = 1 + + const n = 448 + const h = 2 + swap := uint(1) + for s := 0; s < n-h; s++ { + i := (s + h) / 8 + j := (s + h) % 8 + bit := uint((k[i] >> uint(j)) & 1) + copy(w[0][:], tableGenerator[s*Size:(s+1)*Size]) + diffAdd(&w, swap^bit) + swap = bit + } + for s := 0; s < h; s++ { + double(&w[1], &w[2]) + } + toAffine((*[fp.Size]byte)(k), &w[1], &w[2]) +} + +// ladderMontgomery calculates a generic scalar point multiplication +// The algorithm implemented is the left-to-right Montgomery's ladder. +func ladderMontgomery(k, xP *Key) { + w := [5]fp.Elt{} // [x1, x2, z2, x3, z3] order must be preserved. + w[0] = *(*fp.Elt)(xP) // x1 = xP + fp.SetOne(&w[1]) // x2 = 1 + w[3] = *(*fp.Elt)(xP) // x3 = xP + fp.SetOne(&w[4]) // z3 = 1 + + move := uint(0) + for s := 448 - 1; s >= 0; s-- { + i := s / 8 + j := s % 8 + bit := uint((k[i] >> uint(j)) & 1) + ladderStep(&w, move^bit) + move = bit + } + toAffine((*[fp.Size]byte)(k), &w[1], &w[2]) +} + +func toAffine(k *[fp.Size]byte, x, z *fp.Elt) { + fp.Inv(z, z) + fp.Mul(x, x, z) + _ = fp.ToBytes(k[:], x) +} + +var lowOrderPoints = [3]fp.Elt{ + { /* (0,_,1) point of order 2 on Curve448 */ + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }, + { /* (1,_,1) a point of order 4 on the twist of Curve448 */ + 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }, + { /* (-1,_,1) point of order 4 on Curve448 */ + 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + }, +} diff --git a/vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.go b/vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.go new file mode 100644 index 0000000000..7531e8647d --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.go @@ -0,0 +1,31 @@ +//go:build amd64 && !purego +// +build amd64,!purego + +package x448 + +import ( + "golang.org/x/sys/cpu" + + fp "github.com/cloudflare/circl/math/fp448" +) + +var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX + +var _ = hasBmi2Adx + +func double(x, z *fp.Elt) { doubleAmd64(x, z) } +func diffAdd(w *[5]fp.Elt, b uint) { diffAddAmd64(w, b) } +func ladderStep(w *[5]fp.Elt, b uint) { ladderStepAmd64(w, b) } +func mulA24(z, x *fp.Elt) { mulA24Amd64(z, x) } + +//go:noescape +func doubleAmd64(x, z *fp.Elt) + +//go:noescape +func diffAddAmd64(w *[5]fp.Elt, b uint) + +//go:noescape +func ladderStepAmd64(w *[5]fp.Elt, b uint) + +//go:noescape +func mulA24Amd64(z, x *fp.Elt) diff --git a/vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.h b/vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.h new file mode 100644 index 0000000000..8c1ae4d0fb --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.h @@ -0,0 +1,111 @@ +#define ladderStepLeg \ + addSub(x2,z2) \ + addSub(x3,z3) \ + integerMulLeg(b0,x2,z3) \ + integerMulLeg(b1,x3,z2) \ + reduceFromDoubleLeg(t0,b0) \ + reduceFromDoubleLeg(t1,b1) \ + addSub(t0,t1) \ + cselect(x2,x3,regMove) \ + cselect(z2,z3,regMove) \ + integerSqrLeg(b0,t0) \ + integerSqrLeg(b1,t1) \ + reduceFromDoubleLeg(x3,b0) \ + reduceFromDoubleLeg(z3,b1) \ + integerMulLeg(b0,x1,z3) \ + reduceFromDoubleLeg(z3,b0) \ + integerSqrLeg(b0,x2) \ + integerSqrLeg(b1,z2) \ + reduceFromDoubleLeg(x2,b0) \ + reduceFromDoubleLeg(z2,b1) \ + subtraction(t0,x2,z2) \ + multiplyA24Leg(t1,t0) \ + additionLeg(t1,t1,z2) \ + integerMulLeg(b0,x2,z2) \ + integerMulLeg(b1,t0,t1) \ + reduceFromDoubleLeg(x2,b0) \ + reduceFromDoubleLeg(z2,b1) + +#define ladderStepBmi2Adx \ + addSub(x2,z2) \ + addSub(x3,z3) \ + integerMulAdx(b0,x2,z3) \ + integerMulAdx(b1,x3,z2) \ + reduceFromDoubleAdx(t0,b0) \ + reduceFromDoubleAdx(t1,b1) \ + addSub(t0,t1) \ + cselect(x2,x3,regMove) \ + cselect(z2,z3,regMove) \ + integerSqrAdx(b0,t0) \ + integerSqrAdx(b1,t1) \ + reduceFromDoubleAdx(x3,b0) \ + reduceFromDoubleAdx(z3,b1) \ + integerMulAdx(b0,x1,z3) \ + reduceFromDoubleAdx(z3,b0) \ + integerSqrAdx(b0,x2) \ + integerSqrAdx(b1,z2) \ + reduceFromDoubleAdx(x2,b0) \ + reduceFromDoubleAdx(z2,b1) \ + subtraction(t0,x2,z2) \ + multiplyA24Adx(t1,t0) \ + additionAdx(t1,t1,z2) \ + integerMulAdx(b0,x2,z2) \ + integerMulAdx(b1,t0,t1) \ + reduceFromDoubleAdx(x2,b0) \ + reduceFromDoubleAdx(z2,b1) + +#define difAddLeg \ + addSub(x1,z1) \ + integerMulLeg(b0,z1,ui) \ + reduceFromDoubleLeg(z1,b0) \ + addSub(x1,z1) \ + integerSqrLeg(b0,x1) \ + integerSqrLeg(b1,z1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) \ + integerMulLeg(b0,x1,z2) \ + integerMulLeg(b1,z1,x2) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) + +#define difAddBmi2Adx \ + addSub(x1,z1) \ + integerMulAdx(b0,z1,ui) \ + reduceFromDoubleAdx(z1,b0) \ + addSub(x1,z1) \ + integerSqrAdx(b0,x1) \ + integerSqrAdx(b1,z1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) \ + integerMulAdx(b0,x1,z2) \ + integerMulAdx(b1,z1,x2) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) + +#define doubleLeg \ + addSub(x1,z1) \ + integerSqrLeg(b0,x1) \ + integerSqrLeg(b1,z1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) \ + subtraction(t0,x1,z1) \ + multiplyA24Leg(t1,t0) \ + additionLeg(t1,t1,z1) \ + integerMulLeg(b0,x1,z1) \ + integerMulLeg(b1,t0,t1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) + +#define doubleBmi2Adx \ + addSub(x1,z1) \ + integerSqrAdx(b0,x1) \ + integerSqrAdx(b1,z1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) \ + subtraction(t0,x1,z1) \ + multiplyA24Adx(t1,t0) \ + additionAdx(t1,t1,z1) \ + integerMulAdx(b0,x1,z1) \ + integerMulAdx(b1,t0,t1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) diff --git a/vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.s b/vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.s new file mode 100644 index 0000000000..810aa9e648 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.s @@ -0,0 +1,193 @@ +// +build amd64 + +#include "textflag.h" + +// Depends on circl/math/fp448 package +#include "../../math/fp448/fp_amd64.h" +#include "curve_amd64.h" + +// CTE_A24 is (A+2)/4 from Curve448 +#define CTE_A24 39082 + +#define Size 56 + +// multiplyA24Leg multiplies x times CTE_A24 and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64, cmov, adx +#define multiplyA24Leg(z,x) \ + MOVQ $CTE_A24, R15; \ + MOVQ 0+x, AX; MULQ R15; MOVQ AX, R8; ;;;;;;;;;;;; MOVQ DX, R9; \ + MOVQ 8+x, AX; MULQ R15; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R15; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R15; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; \ + MOVQ 32+x, AX; MULQ R15; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; \ + MOVQ 40+x, AX; MULQ R15; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX, R14; \ + MOVQ 48+x, AX; MULQ R15; ADDQ AX, R14; ADCQ $0, DX; \ + MOVQ DX, AX; \ + SHLQ $32, AX; \ + ADDQ DX, R8; MOVQ $0, DX; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ AX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + ADCQ $0, DX; \ + MOVQ DX, AX; \ + SHLQ $32, AX; \ + ADDQ DX, R8; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ AX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + MOVQ R8, 0+z; \ + MOVQ R9, 8+z; \ + MOVQ R10, 16+z; \ + MOVQ R11, 24+z; \ + MOVQ R12, 32+z; \ + MOVQ R13, 40+z; \ + MOVQ R14, 48+z; + +// multiplyA24Adx multiplies x times CTE_A24 and stores in z +// Uses: AX, DX, R8-R14, FLAGS +// Instr: x86_64, bmi2 +#define multiplyA24Adx(z,x) \ + MOVQ $CTE_A24, DX; \ + MULXQ 0+x, R8, R9; \ + MULXQ 8+x, AX, R10; ADDQ AX, R9; \ + MULXQ 16+x, AX, R11; ADCQ AX, R10; \ + MULXQ 24+x, AX, R12; ADCQ AX, R11; \ + MULXQ 32+x, AX, R13; ADCQ AX, R12; \ + MULXQ 40+x, AX, R14; ADCQ AX, R13; \ + MULXQ 48+x, AX, DX; ADCQ AX, R14; \ + ;;;;;;;;;;;;;;;;;;;; ADCQ $0, DX; \ + MOVQ DX, AX; \ + SHLQ $32, AX; \ + ADDQ DX, R8; MOVQ $0, DX; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ AX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + ADCQ $0, DX; \ + MOVQ DX, AX; \ + SHLQ $32, AX; \ + ADDQ DX, R8; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ AX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + MOVQ R8, 0+z; \ + MOVQ R9, 8+z; \ + MOVQ R10, 16+z; \ + MOVQ R11, 24+z; \ + MOVQ R12, 32+z; \ + MOVQ R13, 40+z; \ + MOVQ R14, 48+z; + +#define mulA24Legacy \ + multiplyA24Leg(0(DI),0(SI)) +#define mulA24Bmi2Adx \ + multiplyA24Adx(0(DI),0(SI)) + +// func mulA24Amd64(z, x *fp448.Elt) +TEXT ·mulA24Amd64(SB),NOSPLIT,$0-16 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + CHECK_BMI2ADX(LMA24, mulA24Legacy, mulA24Bmi2Adx) + +// func ladderStepAmd64(w *[5]fp448.Elt, b uint) +// ladderStepAmd64 calculates a point addition and doubling as follows: +// (x2,z2) = 2*(x2,z2) and (x3,z3) = (x2,z2)+(x3,z3) using as a difference (x1,-). +// w = {x1,x2,z2,x3,z4} are five fp255.Elt of 56 bytes. +// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and +// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +TEXT ·ladderStepAmd64(SB),NOSPLIT,$336-16 + // Parameters + #define regWork DI + #define regMove SI + #define x1 0*Size(regWork) + #define x2 1*Size(regWork) + #define z2 2*Size(regWork) + #define x3 3*Size(regWork) + #define z3 4*Size(regWork) + // Local variables + #define t0 0*Size(SP) + #define t1 1*Size(SP) + #define b0 2*Size(SP) + #define b1 4*Size(SP) + MOVQ w+0(FP), regWork + MOVQ b+8(FP), regMove + CHECK_BMI2ADX(LLADSTEP, ladderStepLeg, ladderStepBmi2Adx) + #undef regWork + #undef regMove + #undef x1 + #undef x2 + #undef z2 + #undef x3 + #undef z3 + #undef t0 + #undef t1 + #undef b0 + #undef b1 + +// func diffAddAmd64(work *[5]fp.Elt, swap uint) +// diffAddAmd64 calculates a differential point addition using a precomputed point. +// (x1,z1) = (x1,z1)+(mu) using a difference point (x2,z2) +// work = {mu,x1,z1,x2,z2} are five fp448.Elt of 56 bytes, and +// stack = (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +// This is Equation 7 at https://eprint.iacr.org/2017/264. +TEXT ·diffAddAmd64(SB),NOSPLIT,$224-16 + // Parameters + #define regWork DI + #define regSwap SI + #define ui 0*Size(regWork) + #define x1 1*Size(regWork) + #define z1 2*Size(regWork) + #define x2 3*Size(regWork) + #define z2 4*Size(regWork) + // Local variables + #define b0 0*Size(SP) + #define b1 2*Size(SP) + MOVQ w+0(FP), regWork + MOVQ b+8(FP), regSwap + cswap(x1,x2,regSwap) + cswap(z1,z2,regSwap) + CHECK_BMI2ADX(LDIFADD, difAddLeg, difAddBmi2Adx) + #undef regWork + #undef regSwap + #undef ui + #undef x1 + #undef z1 + #undef x2 + #undef z2 + #undef b0 + #undef b1 + +// func doubleAmd64(x, z *fp448.Elt) +// doubleAmd64 calculates a point doubling (x1,z1) = 2*(x1,z1). +// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and +// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +TEXT ·doubleAmd64(SB),NOSPLIT,$336-16 + // Parameters + #define x1 0(DI) + #define z1 0(SI) + // Local variables + #define t0 0*Size(SP) + #define t1 1*Size(SP) + #define b0 2*Size(SP) + #define b1 4*Size(SP) + MOVQ x+0(FP), DI + MOVQ z+8(FP), SI + CHECK_BMI2ADX(LDOUB,doubleLeg,doubleBmi2Adx) + #undef x1 + #undef z1 + #undef t0 + #undef t1 + #undef b0 + #undef b1 diff --git a/vendor/github.com/cloudflare/circl/dh/x448/curve_generic.go b/vendor/github.com/cloudflare/circl/dh/x448/curve_generic.go new file mode 100644 index 0000000000..c66d559ae7 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x448/curve_generic.go @@ -0,0 +1,97 @@ +package x448 + +import ( + "encoding/binary" + "math/bits" + + "github.com/cloudflare/circl/math/fp448" +) + +func doubleGeneric(x, z *fp448.Elt) { + t0, t1 := &fp448.Elt{}, &fp448.Elt{} + fp448.AddSub(x, z) + fp448.Sqr(x, x) + fp448.Sqr(z, z) + fp448.Sub(t0, x, z) + mulA24Generic(t1, t0) + fp448.Add(t1, t1, z) + fp448.Mul(x, x, z) + fp448.Mul(z, t0, t1) +} +func diffAddGeneric(w *[5]fp448.Elt, b uint) { + mu, x1, z1, x2, z2 := &w[0], &w[1], &w[2], &w[3], &w[4] + fp448.Cswap(x1, x2, b) + fp448.Cswap(z1, z2, b) + fp448.AddSub(x1, z1) + fp448.Mul(z1, z1, mu) + fp448.AddSub(x1, z1) + fp448.Sqr(x1, x1) + fp448.Sqr(z1, z1) + fp448.Mul(x1, x1, z2) + fp448.Mul(z1, z1, x2) +} +func ladderStepGeneric(w *[5]fp448.Elt, b uint) { + x1, x2, z2, x3, z3 := &w[0], &w[1], &w[2], &w[3], &w[4] + t0 := &fp448.Elt{} + t1 := &fp448.Elt{} + fp448.AddSub(x2, z2) + fp448.AddSub(x3, z3) + fp448.Mul(t0, x2, z3) + fp448.Mul(t1, x3, z2) + fp448.AddSub(t0, t1) + fp448.Cmov(x2, x3, b) + fp448.Cmov(z2, z3, b) + fp448.Sqr(x3, t0) + fp448.Sqr(z3, t1) + fp448.Mul(z3, x1, z3) + fp448.Sqr(x2, x2) + fp448.Sqr(z2, z2) + fp448.Sub(t0, x2, z2) + mulA24Generic(t1, t0) + fp448.Add(t1, t1, z2) + fp448.Mul(x2, x2, z2) + fp448.Mul(z2, t0, t1) +} +func mulA24Generic(z, x *fp448.Elt) { + const A24 = 39082 + const n = 8 + var xx [7]uint64 + for i := range xx { + xx[i] = binary.LittleEndian.Uint64(x[i*n : (i+1)*n]) + } + h0, l0 := bits.Mul64(xx[0], A24) + h1, l1 := bits.Mul64(xx[1], A24) + h2, l2 := bits.Mul64(xx[2], A24) + h3, l3 := bits.Mul64(xx[3], A24) + h4, l4 := bits.Mul64(xx[4], A24) + h5, l5 := bits.Mul64(xx[5], A24) + h6, l6 := bits.Mul64(xx[6], A24) + + l1, c0 := bits.Add64(h0, l1, 0) + l2, c1 := bits.Add64(h1, l2, c0) + l3, c2 := bits.Add64(h2, l3, c1) + l4, c3 := bits.Add64(h3, l4, c2) + l5, c4 := bits.Add64(h4, l5, c3) + l6, c5 := bits.Add64(h5, l6, c4) + l7, _ := bits.Add64(h6, 0, c5) + + l0, c0 = bits.Add64(l0, l7, 0) + l1, c1 = bits.Add64(l1, 0, c0) + l2, c2 = bits.Add64(l2, 0, c1) + l3, c3 = bits.Add64(l3, l7<<32, c2) + l4, c4 = bits.Add64(l4, 0, c3) + l5, c5 = bits.Add64(l5, 0, c4) + l6, l7 = bits.Add64(l6, 0, c5) + + xx[0], c0 = bits.Add64(l0, l7, 0) + xx[1], c1 = bits.Add64(l1, 0, c0) + xx[2], c2 = bits.Add64(l2, 0, c1) + xx[3], c3 = bits.Add64(l3, l7<<32, c2) + xx[4], c4 = bits.Add64(l4, 0, c3) + xx[5], c5 = bits.Add64(l5, 0, c4) + xx[6], _ = bits.Add64(l6, 0, c5) + + for i := range xx { + binary.LittleEndian.PutUint64(z[i*n:(i+1)*n], xx[i]) + } +} diff --git a/vendor/github.com/cloudflare/circl/dh/x448/curve_noasm.go b/vendor/github.com/cloudflare/circl/dh/x448/curve_noasm.go new file mode 100644 index 0000000000..3755b7c83b --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x448/curve_noasm.go @@ -0,0 +1,11 @@ +//go:build !amd64 || purego +// +build !amd64 purego + +package x448 + +import fp "github.com/cloudflare/circl/math/fp448" + +func double(x, z *fp.Elt) { doubleGeneric(x, z) } +func diffAdd(w *[5]fp.Elt, b uint) { diffAddGeneric(w, b) } +func ladderStep(w *[5]fp.Elt, b uint) { ladderStepGeneric(w, b) } +func mulA24(z, x *fp.Elt) { mulA24Generic(z, x) } diff --git a/vendor/github.com/cloudflare/circl/dh/x448/doc.go b/vendor/github.com/cloudflare/circl/dh/x448/doc.go new file mode 100644 index 0000000000..8b9279cba2 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x448/doc.go @@ -0,0 +1,20 @@ +/* +Package x448 provides Diffie-Hellman functions as specified in RFC-7748. + +Validation of public keys. + +The Diffie-Hellman function, as described in RFC-7748 [1], works for any +public key. However, if a different protocol requires contributory +behaviour [2,3], then the public keys must be validated against low-order +points [3,4]. To do that, the Shared function performs this validation +internally and returns false when the public key is invalid (i.e., it +is a low-order point). + +References: + - [1] RFC7748 by Langley, Hamburg, Turner (https://rfc-editor.org/rfc/rfc7748.txt) + - [2] Curve25519 by Bernstein (https://cr.yp.to/ecdh.html) + - [3] Bernstein (https://cr.yp.to/ecdh.html#validate) + - [4] Cremers&Jackson (https://eprint.iacr.org/2019/526) + +*/ +package x448 diff --git a/vendor/github.com/cloudflare/circl/dh/x448/key.go b/vendor/github.com/cloudflare/circl/dh/x448/key.go new file mode 100644 index 0000000000..82a07a2bfe --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x448/key.go @@ -0,0 +1,46 @@ +package x448 + +import ( + "crypto/subtle" + + fp "github.com/cloudflare/circl/math/fp448" +) + +// Size is the length in bytes of a X448 key. +const Size = 56 + +// Key represents a X448 key. +type Key [Size]byte + +func (k *Key) clamp(in *Key) *Key { + *k = *in + k[0] &= 252 + k[55] |= 128 + return k +} + +// isValidPubKey verifies if the public key is not a low-order point. +func (k *Key) isValidPubKey() bool { + fp.Modp((*fp.Elt)(k)) + isLowOrder := false + for _, P := range lowOrderPoints { + isLowOrder = isLowOrder || subtle.ConstantTimeCompare(P[:], k[:]) != 0 + } + return !isLowOrder +} + +// KeyGen obtains a public key given a secret key. +func KeyGen(public, secret *Key) { + ladderJoye(public.clamp(secret)) +} + +// Shared calculates Alice's shared key from Alice's secret key and Bob's +// public key returning true on success. A failure case happens when the public +// key is a low-order point, thus the shared key is all-zeros and the function +// returns false. +func Shared(shared, secret, public *Key) bool { + validPk := *public + ok := validPk.isValidPubKey() + ladderMontgomery(shared.clamp(secret), &validPk) + return ok +} diff --git a/vendor/github.com/cloudflare/circl/dh/x448/table.go b/vendor/github.com/cloudflare/circl/dh/x448/table.go new file mode 100644 index 0000000000..0638ebbab8 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/dh/x448/table.go @@ -0,0 +1,458 @@ +package x448 + +import fp "github.com/cloudflare/circl/math/fp448" + +// tableGenerator contains the set of points: +// t[i] = (xi+1)/(xi-1), +// where (xi,yi) = 2^iG and G is the generator point +// Size = (448)*(448/8) = 25088 bytes. +var tableGenerator = [448 * fp.Size]byte{ + /* (2^ 0)P */ 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, + /* (2^ 1)P */ 0x37, 0xfa, 0xaa, 0x0d, 0x86, 0xa6, 0x24, 0xe9, 0x6c, 0x95, 0x08, 0x34, 0xba, 0x1a, 0x81, 0x3a, 0xae, 0x01, 0xa5, 0xa7, 0x05, 0x85, 0x96, 0x00, 0x06, 0x5a, 0xd7, 0xff, 0xee, 0x8e, 0x8f, 0x94, 0xd2, 0xdc, 0xd7, 0xfc, 0xe7, 0xe5, 0x99, 0x1d, 0x05, 0x46, 0x43, 0xe8, 0xbc, 0x12, 0xb7, 0xeb, 0x30, 0x5e, 0x7a, 0x85, 0x68, 0xed, 0x9d, 0x28, + /* (2^ 2)P */ 0xf1, 0x7d, 0x08, 0x2b, 0x32, 0x4a, 0x62, 0x80, 0x36, 0xe7, 0xa4, 0x76, 0x5a, 0x2a, 0x1e, 0xf7, 0x9e, 0x3c, 0x40, 0x46, 0x9a, 0x1b, 0x61, 0xc1, 0xbf, 0x1a, 0x1b, 0xae, 0x91, 0x80, 0xa3, 0x76, 0x6c, 0xd4, 0x8f, 0xa4, 0xee, 0x26, 0x39, 0x23, 0xa4, 0x80, 0xf4, 0x66, 0x92, 0xe4, 0xe1, 0x18, 0x76, 0xc5, 0xe2, 0x19, 0x87, 0xd5, 0xc3, 0xe8, + /* (2^ 3)P */ 0xfb, 0xc9, 0xf0, 0x07, 0xf2, 0x93, 0xd8, 0x50, 0x36, 0xed, 0xfb, 0xbd, 0xb2, 0xd3, 0xfc, 0xdf, 0xd5, 0x2a, 0x6e, 0x26, 0x09, 0xce, 0xd4, 0x07, 0x64, 0x9f, 0x40, 0x74, 0xad, 0x98, 0x2f, 0x1c, 0xb6, 0xdc, 0x2d, 0x42, 0xff, 0xbf, 0x97, 0xd8, 0xdb, 0xef, 0x99, 0xca, 0x73, 0x99, 0x1a, 0x04, 0x3b, 0x56, 0x2c, 0x1f, 0x87, 0x9d, 0x9f, 0x03, + /* (2^ 4)P */ 0x4c, 0x35, 0x97, 0xf7, 0x81, 0x2c, 0x84, 0xa6, 0xe0, 0xcb, 0xce, 0x37, 0x4c, 0x21, 0x1c, 0x67, 0xfa, 0xab, 0x18, 0x4d, 0xef, 0xd0, 0xf0, 0x44, 0xa9, 0xfb, 0xc0, 0x8e, 0xda, 0x57, 0xa1, 0xd8, 0xeb, 0x87, 0xf4, 0x17, 0xea, 0x66, 0x0f, 0x16, 0xea, 0xcd, 0x5f, 0x3e, 0x88, 0xea, 0x09, 0x68, 0x40, 0xdf, 0x43, 0xcc, 0x54, 0x61, 0x58, 0xaa, + /* (2^ 5)P */ 0x8d, 0xe7, 0x59, 0xd7, 0x5e, 0x63, 0x37, 0xa7, 0x3f, 0xd1, 0x49, 0x85, 0x01, 0xdd, 0x5e, 0xb3, 0xe6, 0x29, 0xcb, 0x25, 0x93, 0xdd, 0x08, 0x96, 0x83, 0x52, 0x76, 0x85, 0xf5, 0x5d, 0x02, 0xbf, 0xe9, 0x6d, 0x15, 0x27, 0xc1, 0x09, 0xd1, 0x14, 0x4d, 0x6e, 0xe8, 0xaf, 0x59, 0x58, 0x34, 0x9d, 0x2a, 0x99, 0x85, 0x26, 0xbe, 0x4b, 0x1e, 0xb9, + /* (2^ 6)P */ 0x8d, 0xce, 0x94, 0xe2, 0x18, 0x56, 0x0d, 0x82, 0x8e, 0xdf, 0x85, 0x01, 0x8f, 0x93, 0x3c, 0xc6, 0xbd, 0x61, 0xfb, 0xf4, 0x22, 0xc5, 0x16, 0x87, 0xd1, 0xb1, 0x9e, 0x09, 0xc5, 0x83, 0x2e, 0x4a, 0x07, 0x88, 0xee, 0xe0, 0x29, 0x8d, 0x2e, 0x1f, 0x88, 0xad, 0xfd, 0x18, 0x93, 0xb7, 0xed, 0x42, 0x86, 0x78, 0xf0, 0xb8, 0x70, 0xbe, 0x01, 0x67, + /* (2^ 7)P */ 0xdf, 0x62, 0x2d, 0x94, 0xc7, 0x35, 0x23, 0xda, 0x27, 0xbb, 0x2b, 0xdb, 0x30, 0x80, 0x68, 0x16, 0xa3, 0xae, 0xd7, 0xd2, 0xa7, 0x7c, 0xbf, 0x6a, 0x1d, 0x83, 0xde, 0x96, 0x0a, 0x43, 0xb6, 0x30, 0x37, 0xd6, 0xee, 0x63, 0x59, 0x9a, 0xbf, 0xa3, 0x30, 0x6c, 0xaf, 0x0c, 0xee, 0x3d, 0xcb, 0x35, 0x4b, 0x55, 0x5f, 0x84, 0x85, 0xcb, 0x4f, 0x1e, + /* (2^ 8)P */ 0x9d, 0x04, 0x68, 0x89, 0xa4, 0xa9, 0x0d, 0x87, 0xc1, 0x70, 0xf1, 0xeb, 0xfb, 0x47, 0x0a, 0xf0, 0xde, 0x67, 0xb7, 0x94, 0xcd, 0x36, 0x43, 0xa5, 0x49, 0x43, 0x67, 0xc3, 0xee, 0x3c, 0x6b, 0xec, 0xd0, 0x1a, 0xf4, 0xad, 0xef, 0x06, 0x4a, 0xe8, 0x46, 0x24, 0xd7, 0x93, 0xbf, 0xf0, 0xe3, 0x81, 0x61, 0xec, 0xea, 0x64, 0xfe, 0x67, 0xeb, 0xc7, + /* (2^ 9)P */ 0x95, 0x45, 0x79, 0xcf, 0x2c, 0xfd, 0x9b, 0xfe, 0x84, 0x46, 0x4b, 0x8f, 0xa1, 0xcf, 0xc3, 0x04, 0x94, 0x78, 0xdb, 0xc9, 0xa6, 0x01, 0x75, 0xa4, 0xb4, 0x93, 0x72, 0x43, 0xa7, 0x7d, 0xda, 0x31, 0x38, 0x54, 0xab, 0x4e, 0x3f, 0x89, 0xa6, 0xab, 0x57, 0xc0, 0x16, 0x65, 0xdb, 0x92, 0x96, 0xe4, 0xc8, 0xae, 0xe7, 0x4c, 0x7a, 0xeb, 0xbb, 0x5a, + /* (2^ 10)P */ 0xbe, 0xfe, 0x86, 0xc3, 0x97, 0xe0, 0x6a, 0x18, 0x20, 0x21, 0xca, 0x22, 0x55, 0xa1, 0xeb, 0xf5, 0x74, 0xe5, 0xc9, 0x59, 0xa7, 0x92, 0x65, 0x15, 0x08, 0x71, 0xd1, 0x09, 0x7e, 0x83, 0xfc, 0xbc, 0x5a, 0x93, 0x38, 0x0d, 0x43, 0x42, 0xfd, 0x76, 0x30, 0xe8, 0x63, 0x60, 0x09, 0x8d, 0x6c, 0xd3, 0xf8, 0x56, 0x3d, 0x68, 0x47, 0xab, 0xa0, 0x1d, + /* (2^ 11)P */ 0x38, 0x50, 0x1c, 0xb1, 0xac, 0x88, 0x8f, 0x38, 0xe3, 0x69, 0xe6, 0xfc, 0x4f, 0x8f, 0xe1, 0x9b, 0xb1, 0x1a, 0x09, 0x39, 0x19, 0xdf, 0xcd, 0x98, 0x7b, 0x64, 0x42, 0xf6, 0x11, 0xea, 0xc7, 0xe8, 0x92, 0x65, 0x00, 0x2c, 0x75, 0xb5, 0x94, 0x1e, 0x5b, 0xa6, 0x66, 0x81, 0x77, 0xf3, 0x39, 0x94, 0xac, 0xbd, 0xe4, 0x2a, 0x66, 0x84, 0x9c, 0x60, + /* (2^ 12)P */ 0xb5, 0xb6, 0xd9, 0x03, 0x67, 0xa4, 0xa8, 0x0a, 0x4a, 0x2b, 0x9d, 0xfa, 0x13, 0xe1, 0x99, 0x25, 0x4a, 0x5c, 0x67, 0xb9, 0xb2, 0xb7, 0xdd, 0x1e, 0xaf, 0xeb, 0x63, 0x41, 0xb6, 0xb9, 0xa0, 0x87, 0x0a, 0xe0, 0x06, 0x07, 0xaa, 0x97, 0xf8, 0xf9, 0x38, 0x4f, 0xdf, 0x0c, 0x40, 0x7c, 0xc3, 0x98, 0xa9, 0x74, 0xf1, 0x5d, 0xda, 0xd1, 0xc0, 0x0a, + /* (2^ 13)P */ 0xf2, 0x0a, 0xab, 0xab, 0x94, 0x50, 0xf0, 0xa3, 0x6f, 0xc6, 0x66, 0xba, 0xa6, 0xdc, 0x44, 0xdd, 0xd6, 0x08, 0xf4, 0xd3, 0xed, 0xb1, 0x40, 0x93, 0xee, 0xf6, 0xb8, 0x8e, 0xb4, 0x7c, 0xb9, 0x82, 0xc9, 0x9d, 0x45, 0x3b, 0x8e, 0x10, 0xcb, 0x70, 0x1e, 0xba, 0x3c, 0x62, 0x50, 0xda, 0xa9, 0x93, 0xb5, 0xd7, 0xd0, 0x6f, 0x29, 0x52, 0x95, 0xae, + /* (2^ 14)P */ 0x14, 0x68, 0x69, 0x23, 0xa8, 0x44, 0x87, 0x9e, 0x22, 0x91, 0xe8, 0x92, 0xdf, 0xf7, 0xae, 0xba, 0x1c, 0x96, 0xe1, 0xc3, 0x94, 0xed, 0x6c, 0x95, 0xae, 0x96, 0xa7, 0x15, 0x9f, 0xf1, 0x17, 0x11, 0x92, 0x42, 0xd5, 0xcd, 0x18, 0xe7, 0xa9, 0xb5, 0x2f, 0xcd, 0xde, 0x6c, 0xc9, 0x7d, 0xfc, 0x7e, 0xbd, 0x7f, 0x10, 0x3d, 0x01, 0x00, 0x8d, 0x95, + /* (2^ 15)P */ 0x3b, 0x76, 0x72, 0xae, 0xaf, 0x84, 0xf2, 0xf7, 0xd1, 0x6d, 0x13, 0x9c, 0x47, 0xe1, 0xb7, 0xa3, 0x19, 0x16, 0xee, 0x75, 0x45, 0xf6, 0x1a, 0x7b, 0x78, 0x49, 0x79, 0x05, 0x86, 0xf0, 0x7f, 0x9f, 0xfc, 0xc4, 0xbd, 0x86, 0xf3, 0x41, 0xa7, 0xfe, 0x01, 0xd5, 0x67, 0x16, 0x10, 0x5b, 0xa5, 0x16, 0xf3, 0x7f, 0x60, 0xce, 0xd2, 0x0c, 0x8e, 0x4b, + /* (2^ 16)P */ 0x4a, 0x07, 0x99, 0x4a, 0x0f, 0x74, 0x91, 0x14, 0x68, 0xb9, 0x48, 0xb7, 0x44, 0x77, 0x9b, 0x4a, 0xe0, 0x68, 0x0e, 0x43, 0x4d, 0x98, 0x98, 0xbf, 0xa8, 0x3a, 0xb7, 0x6d, 0x2a, 0x9a, 0x77, 0x5f, 0x62, 0xf5, 0x6b, 0x4a, 0xb7, 0x7d, 0xe5, 0x09, 0x6b, 0xc0, 0x8b, 0x9c, 0x88, 0x37, 0x33, 0xf2, 0x41, 0xac, 0x22, 0x1f, 0xcf, 0x3b, 0x82, 0x34, + /* (2^ 17)P */ 0x00, 0xc3, 0x78, 0x42, 0x32, 0x2e, 0xdc, 0xda, 0xb1, 0x96, 0x21, 0xa4, 0xe4, 0xbb, 0xe9, 0x9d, 0xbb, 0x0f, 0x93, 0xed, 0x26, 0x3d, 0xb5, 0xdb, 0x94, 0x31, 0x37, 0x07, 0xa2, 0xb2, 0xd5, 0x99, 0x0d, 0x93, 0xe1, 0xce, 0x3f, 0x0b, 0x96, 0x82, 0x47, 0xfe, 0x60, 0x6f, 0x8f, 0x61, 0x88, 0xd7, 0x05, 0x95, 0x0b, 0x46, 0x06, 0xb7, 0x32, 0x06, + /* (2^ 18)P */ 0x44, 0xf5, 0x34, 0xdf, 0x2f, 0x9c, 0x5d, 0x9f, 0x53, 0x5c, 0x42, 0x8f, 0xc9, 0xdc, 0xd8, 0x40, 0xa2, 0xe7, 0x6a, 0x4a, 0x05, 0xf7, 0x86, 0x77, 0x2b, 0xae, 0x37, 0xed, 0x48, 0xfb, 0xf7, 0x62, 0x7c, 0x17, 0x59, 0x92, 0x41, 0x61, 0x93, 0x38, 0x30, 0xd1, 0xef, 0x54, 0x54, 0x03, 0x17, 0x57, 0x91, 0x15, 0x11, 0x33, 0xb5, 0xfa, 0xfb, 0x17, + /* (2^ 19)P */ 0x29, 0xbb, 0xd4, 0xb4, 0x9c, 0xf1, 0x72, 0x94, 0xce, 0x6a, 0x29, 0xa8, 0x89, 0x18, 0x19, 0xf7, 0xb7, 0xcc, 0xee, 0x9a, 0x02, 0xe3, 0xc0, 0xb1, 0xe0, 0xee, 0x83, 0x78, 0xb4, 0x9e, 0x07, 0x87, 0xdf, 0xb0, 0x82, 0x26, 0x4e, 0xa4, 0x0c, 0x33, 0xaf, 0x40, 0x59, 0xb6, 0xdd, 0x52, 0x45, 0xf0, 0xb4, 0xf6, 0xe8, 0x4e, 0x4e, 0x79, 0x1a, 0x5d, + /* (2^ 20)P */ 0x27, 0x33, 0x4d, 0x4c, 0x6b, 0x4f, 0x75, 0xb1, 0xbc, 0x1f, 0xab, 0x5b, 0x2b, 0xf0, 0x1c, 0x57, 0x86, 0xdd, 0xfd, 0x60, 0xb0, 0x8c, 0xe7, 0x9a, 0xe5, 0x5c, 0xeb, 0x11, 0x3a, 0xda, 0x22, 0x25, 0x99, 0x06, 0x8d, 0xf4, 0xaf, 0x29, 0x7a, 0xc9, 0xe5, 0xd2, 0x16, 0x9e, 0xd4, 0x63, 0x1d, 0x64, 0xa6, 0x47, 0x96, 0x37, 0x6f, 0x93, 0x2c, 0xcc, + /* (2^ 21)P */ 0xc1, 0x94, 0x74, 0x86, 0x75, 0xf2, 0x91, 0x58, 0x23, 0x85, 0x63, 0x76, 0x54, 0xc7, 0xb4, 0x8c, 0xbc, 0x4e, 0xc4, 0xa7, 0xba, 0xa0, 0x55, 0x26, 0x71, 0xd5, 0x33, 0x72, 0xc9, 0xad, 0x1e, 0xf9, 0x5d, 0x78, 0x70, 0x93, 0x4e, 0x85, 0xfc, 0x39, 0x06, 0x73, 0x76, 0xff, 0xe8, 0x64, 0x69, 0x42, 0x45, 0xb2, 0x69, 0xb5, 0x32, 0xe7, 0x2c, 0xde, + /* (2^ 22)P */ 0xde, 0x16, 0xd8, 0x33, 0x49, 0x32, 0xe9, 0x0e, 0x3a, 0x60, 0xee, 0x2e, 0x24, 0x75, 0xe3, 0x9c, 0x92, 0x07, 0xdb, 0xad, 0x92, 0xf5, 0x11, 0xdf, 0xdb, 0xb0, 0x17, 0x5c, 0xd6, 0x1a, 0x70, 0x00, 0xb7, 0xe2, 0x18, 0xec, 0xdc, 0xc2, 0x02, 0x93, 0xb3, 0xc8, 0x3f, 0x4f, 0x1b, 0x96, 0xe6, 0x33, 0x8c, 0xfb, 0xcc, 0xa5, 0x4e, 0xe8, 0xe7, 0x11, + /* (2^ 23)P */ 0x05, 0x7a, 0x74, 0x52, 0xf8, 0xdf, 0x0d, 0x7c, 0x6a, 0x1a, 0x4e, 0x9a, 0x02, 0x1d, 0xae, 0x77, 0xf8, 0x8e, 0xf9, 0xa2, 0x38, 0x54, 0x50, 0xb2, 0x2c, 0x08, 0x9d, 0x9b, 0x9f, 0xfb, 0x2b, 0x06, 0xde, 0x9d, 0xc2, 0x03, 0x0b, 0x22, 0x2b, 0x10, 0x5b, 0x3a, 0x73, 0x29, 0x8e, 0x3e, 0x37, 0x08, 0x2c, 0x3b, 0xf8, 0x80, 0xc1, 0x66, 0x1e, 0x98, + /* (2^ 24)P */ 0xd8, 0xd6, 0x3e, 0xcd, 0x63, 0x8c, 0x2b, 0x41, 0x81, 0xc0, 0x0c, 0x06, 0x87, 0xd6, 0xe7, 0x92, 0xfe, 0xf1, 0x0c, 0x4a, 0x84, 0x5b, 0xaf, 0x40, 0x53, 0x6f, 0x60, 0xd6, 0x6b, 0x76, 0x4b, 0xc2, 0xad, 0xc9, 0xb6, 0xb6, 0x6a, 0xa2, 0xb3, 0xf5, 0xf5, 0xc2, 0x55, 0x83, 0xb2, 0xd3, 0xe9, 0x41, 0x6c, 0x63, 0x51, 0xb8, 0x81, 0x74, 0xc8, 0x2c, + /* (2^ 25)P */ 0xb2, 0xaf, 0x1c, 0xee, 0x07, 0xb0, 0x58, 0xa8, 0x2c, 0x6a, 0xc9, 0x2d, 0x62, 0x28, 0x75, 0x0c, 0x40, 0xb6, 0x11, 0x33, 0x96, 0x80, 0x28, 0x6d, 0xd5, 0x9e, 0x87, 0x90, 0x01, 0x66, 0x1d, 0x1c, 0xf8, 0xb4, 0x92, 0xac, 0x38, 0x18, 0x05, 0xc2, 0x4c, 0x4b, 0x54, 0x7d, 0x80, 0x46, 0x87, 0x2d, 0x99, 0x8e, 0x70, 0x80, 0x69, 0x71, 0x8b, 0xed, + /* (2^ 26)P */ 0x37, 0xa7, 0x6b, 0x71, 0x36, 0x75, 0x8e, 0xff, 0x0f, 0x42, 0xda, 0x5a, 0x46, 0xa6, 0x97, 0x79, 0x7e, 0x30, 0xb3, 0x8f, 0xc7, 0x3a, 0xa0, 0xcb, 0x1d, 0x9c, 0x78, 0x77, 0x36, 0xc2, 0xe7, 0xf4, 0x2f, 0x29, 0x07, 0xb1, 0x07, 0xfd, 0xed, 0x1b, 0x39, 0x77, 0x06, 0x38, 0x77, 0x0f, 0x50, 0x31, 0x12, 0xbf, 0x92, 0xbf, 0x72, 0x79, 0x54, 0xa9, + /* (2^ 27)P */ 0xbd, 0x4d, 0x46, 0x6b, 0x1a, 0x80, 0x46, 0x2d, 0xed, 0xfd, 0x64, 0x6d, 0x94, 0xbc, 0x4a, 0x6e, 0x0c, 0x12, 0xf6, 0x12, 0xab, 0x54, 0x88, 0xd3, 0x85, 0xac, 0x51, 0xae, 0x6f, 0xca, 0xc4, 0xb7, 0xec, 0x22, 0x54, 0x6d, 0x80, 0xb2, 0x1c, 0x63, 0x33, 0x76, 0x6b, 0x8e, 0x6d, 0x59, 0xcd, 0x73, 0x92, 0x5f, 0xff, 0xad, 0x10, 0x35, 0x70, 0x5f, + /* (2^ 28)P */ 0xb3, 0x84, 0xde, 0xc8, 0x04, 0x43, 0x63, 0xfa, 0x29, 0xd9, 0xf0, 0x69, 0x65, 0x5a, 0x0c, 0xe8, 0x2e, 0x0b, 0xfe, 0xb0, 0x7a, 0x42, 0xb3, 0xc3, 0xfc, 0xe6, 0xb8, 0x92, 0x29, 0xae, 0xed, 0xec, 0xd5, 0xe8, 0x4a, 0xa1, 0xbd, 0x3b, 0xd3, 0xc0, 0x07, 0xab, 0x65, 0x65, 0x35, 0x9a, 0xa6, 0x5e, 0x78, 0x18, 0x76, 0x1c, 0x15, 0x49, 0xe6, 0x75, + /* (2^ 29)P */ 0x45, 0xb3, 0x92, 0xa9, 0xc3, 0xb8, 0x11, 0x68, 0x64, 0x3a, 0x83, 0x5d, 0xa8, 0x94, 0x6a, 0x9d, 0xaa, 0x27, 0x9f, 0x98, 0x5d, 0xc0, 0x29, 0xf0, 0xc0, 0x4b, 0x14, 0x3c, 0x05, 0xe7, 0xf8, 0xbd, 0x38, 0x22, 0x96, 0x75, 0x65, 0x5e, 0x0d, 0x3f, 0xbb, 0x6f, 0xe8, 0x3f, 0x96, 0x76, 0x9f, 0xba, 0xd9, 0x44, 0x92, 0x96, 0x22, 0xe7, 0x52, 0xe7, + /* (2^ 30)P */ 0xf4, 0xa3, 0x95, 0x90, 0x47, 0xdf, 0x7d, 0xdc, 0xf4, 0x13, 0x87, 0x67, 0x7d, 0x4f, 0x9d, 0xa0, 0x00, 0x46, 0x72, 0x08, 0xc3, 0xa2, 0x7a, 0x3e, 0xe7, 0x6d, 0x52, 0x7c, 0x11, 0x36, 0x50, 0x83, 0x89, 0x64, 0xcb, 0x1f, 0x08, 0x83, 0x46, 0xcb, 0xac, 0xa6, 0xd8, 0x9c, 0x1b, 0xe8, 0x05, 0x47, 0xc7, 0x26, 0x06, 0x83, 0x39, 0xe9, 0xb1, 0x1c, + /* (2^ 31)P */ 0x11, 0xe8, 0xc8, 0x42, 0xbf, 0x30, 0x9c, 0xa3, 0xf1, 0x85, 0x96, 0x95, 0x4f, 0x4f, 0x52, 0xa2, 0xf5, 0x8b, 0x68, 0x24, 0x16, 0xac, 0x9b, 0xa9, 0x27, 0x28, 0x0e, 0x84, 0x03, 0x46, 0x22, 0x5f, 0xf7, 0x0d, 0xa6, 0x85, 0x88, 0xc1, 0x45, 0x4b, 0x85, 0x1a, 0x10, 0x7f, 0xc9, 0x94, 0x20, 0xb0, 0x04, 0x28, 0x12, 0x30, 0xb9, 0xe6, 0x40, 0x6b, + /* (2^ 32)P */ 0xac, 0x1b, 0x57, 0xb6, 0x42, 0xdb, 0x81, 0x8d, 0x76, 0xfd, 0x9b, 0x1c, 0x29, 0x30, 0xd5, 0x3a, 0xcc, 0x53, 0xd9, 0x26, 0x7a, 0x0f, 0x9c, 0x2e, 0x79, 0xf5, 0x62, 0xeb, 0x61, 0x9d, 0x9b, 0x80, 0x39, 0xcd, 0x60, 0x2e, 0x1f, 0x08, 0x22, 0xbc, 0x19, 0xb3, 0x2a, 0x43, 0x44, 0xf2, 0x4e, 0x66, 0xf4, 0x36, 0xa6, 0xa7, 0xbc, 0xa4, 0x15, 0x7e, + /* (2^ 33)P */ 0xc1, 0x90, 0x8a, 0xde, 0xff, 0x78, 0xc3, 0x73, 0x16, 0xee, 0x76, 0xa0, 0x84, 0x60, 0x8d, 0xe6, 0x82, 0x0f, 0xde, 0x4e, 0xc5, 0x99, 0x34, 0x06, 0x90, 0x44, 0x55, 0xf8, 0x91, 0xd8, 0xe1, 0xe4, 0x2c, 0x8a, 0xde, 0x94, 0x1e, 0x78, 0x25, 0x3d, 0xfd, 0xd8, 0x59, 0x7d, 0xaf, 0x6e, 0xbe, 0x96, 0xbe, 0x3c, 0x16, 0x23, 0x0f, 0x4c, 0xa4, 0x28, + /* (2^ 34)P */ 0xba, 0x11, 0x35, 0x57, 0x03, 0xb6, 0xf4, 0x24, 0x89, 0xb8, 0x5a, 0x0d, 0x50, 0x9c, 0xaa, 0x51, 0x7f, 0xa4, 0x0e, 0xfc, 0x71, 0xb3, 0x3b, 0xf1, 0x96, 0x50, 0x23, 0x15, 0xf5, 0xf5, 0xd4, 0x23, 0xdc, 0x8b, 0x26, 0x9e, 0xae, 0xb7, 0x50, 0xcd, 0xc4, 0x25, 0xf6, 0x75, 0x40, 0x9c, 0x37, 0x79, 0x33, 0x60, 0xd4, 0x4b, 0x13, 0x32, 0xee, 0xe2, + /* (2^ 35)P */ 0x43, 0xb8, 0x56, 0x59, 0xf0, 0x68, 0x23, 0xb3, 0xea, 0x70, 0x58, 0x4c, 0x1e, 0x5a, 0x16, 0x54, 0x03, 0xb2, 0xf4, 0x73, 0xb6, 0xd9, 0x5c, 0x9c, 0x6f, 0xcf, 0x82, 0x2e, 0x54, 0x15, 0x46, 0x2c, 0xa3, 0xda, 0x4e, 0x87, 0xf5, 0x2b, 0xba, 0x91, 0xa3, 0xa0, 0x89, 0xba, 0x48, 0x2b, 0xfa, 0x64, 0x02, 0x7f, 0x78, 0x03, 0xd1, 0xe8, 0x3b, 0xe9, + /* (2^ 36)P */ 0x15, 0xa4, 0x71, 0xd4, 0x0c, 0x24, 0xe9, 0x07, 0xa1, 0x43, 0xf4, 0x7f, 0xbb, 0xa2, 0xa6, 0x6b, 0xfa, 0xb7, 0xea, 0x58, 0xd1, 0x96, 0xb0, 0x24, 0x5c, 0xc7, 0x37, 0x4e, 0x60, 0x0f, 0x40, 0xf2, 0x2f, 0x44, 0x70, 0xea, 0x80, 0x63, 0xfe, 0xfc, 0x46, 0x59, 0x12, 0x27, 0xb5, 0x27, 0xfd, 0xb7, 0x73, 0x0b, 0xca, 0x8b, 0xc2, 0xd3, 0x71, 0x08, + /* (2^ 37)P */ 0x26, 0x0e, 0xd7, 0x52, 0x6f, 0xf1, 0xf2, 0x9d, 0xb8, 0x3d, 0xbd, 0xd4, 0x75, 0x97, 0xd8, 0xbf, 0xa8, 0x86, 0x96, 0xa5, 0x80, 0xa0, 0x45, 0x75, 0xf6, 0x77, 0x71, 0xdb, 0x77, 0x96, 0x55, 0x99, 0x31, 0xd0, 0x4f, 0x34, 0xf4, 0x35, 0x39, 0x41, 0xd3, 0x7d, 0xf7, 0xe2, 0x74, 0xde, 0xbe, 0x5b, 0x1f, 0x39, 0x10, 0x21, 0xa3, 0x4d, 0x3b, 0xc8, + /* (2^ 38)P */ 0x04, 0x00, 0x2a, 0x45, 0xb2, 0xaf, 0x9b, 0x18, 0x6a, 0xeb, 0x96, 0x28, 0xa4, 0x77, 0xd0, 0x13, 0xcf, 0x17, 0x65, 0xe8, 0xc5, 0x81, 0x28, 0xad, 0x39, 0x7a, 0x0b, 0xaa, 0x55, 0x2b, 0xf3, 0xfc, 0x86, 0x40, 0xad, 0x0d, 0x1e, 0x28, 0xa2, 0x2d, 0xc5, 0xd6, 0x04, 0x15, 0xa2, 0x30, 0x3d, 0x12, 0x8e, 0xd6, 0xb5, 0xf7, 0x69, 0xbb, 0x84, 0x20, + /* (2^ 39)P */ 0xd7, 0x7a, 0x77, 0x2c, 0xfb, 0x81, 0x80, 0xe9, 0x1e, 0xc6, 0x36, 0x31, 0x79, 0xc3, 0x7c, 0xa9, 0x57, 0x6b, 0xb5, 0x70, 0xfb, 0xe4, 0xa1, 0xff, 0xfd, 0x21, 0xa5, 0x7c, 0xfa, 0x44, 0xba, 0x0d, 0x96, 0x3d, 0xc4, 0x5c, 0x39, 0x52, 0x87, 0xd7, 0x22, 0x0f, 0x52, 0x88, 0x91, 0x87, 0x96, 0xac, 0xfa, 0x3b, 0xdf, 0xdc, 0x83, 0x8c, 0x99, 0x29, + /* (2^ 40)P */ 0x98, 0x6b, 0x3a, 0x8d, 0x83, 0x17, 0xe1, 0x62, 0xd8, 0x80, 0x4c, 0x97, 0xce, 0x6b, 0xaa, 0x10, 0xa7, 0xc4, 0xe9, 0xeb, 0xa5, 0xfb, 0xc9, 0xdd, 0x2d, 0xeb, 0xfc, 0x9a, 0x71, 0xcd, 0x68, 0x6e, 0xc0, 0x35, 0x64, 0x62, 0x1b, 0x95, 0x12, 0xe8, 0x53, 0xec, 0xf0, 0xf4, 0x86, 0x86, 0x78, 0x18, 0xc4, 0xc6, 0xbc, 0x5a, 0x59, 0x8f, 0x7c, 0x7e, + /* (2^ 41)P */ 0x7f, 0xd7, 0x1e, 0xc5, 0x83, 0xdc, 0x1f, 0xbe, 0x0b, 0xcf, 0x2e, 0x01, 0x01, 0xed, 0xac, 0x17, 0x3b, 0xed, 0xa4, 0x30, 0x96, 0x0e, 0x14, 0x7e, 0x19, 0x2b, 0xa5, 0x67, 0x1e, 0xb3, 0x34, 0x03, 0xa8, 0xbb, 0x0a, 0x7d, 0x08, 0x2d, 0xd5, 0x53, 0x19, 0x6f, 0x13, 0xd5, 0xc0, 0x90, 0x8a, 0xcc, 0xc9, 0x5c, 0xab, 0x24, 0xd7, 0x03, 0xf6, 0x57, + /* (2^ 42)P */ 0x49, 0xcb, 0xb4, 0x96, 0x5f, 0xa6, 0xf8, 0x71, 0x6f, 0x59, 0xad, 0x05, 0x24, 0x2d, 0xaf, 0x67, 0xa8, 0xbe, 0x95, 0xdf, 0x0d, 0x28, 0x5a, 0x7f, 0x6e, 0x87, 0x8c, 0x6e, 0x67, 0x0c, 0xf4, 0xe0, 0x1c, 0x30, 0xc2, 0x66, 0xae, 0x20, 0xa1, 0x34, 0xec, 0x9c, 0xbc, 0xae, 0x3d, 0xa1, 0x28, 0x28, 0x95, 0x1d, 0xc9, 0x3a, 0xa8, 0xfd, 0xfc, 0xa1, + /* (2^ 43)P */ 0xe2, 0x2b, 0x9d, 0xed, 0x02, 0x99, 0x67, 0xbb, 0x2e, 0x16, 0x62, 0x05, 0x70, 0xc7, 0x27, 0xb9, 0x1c, 0x3f, 0xf2, 0x11, 0x01, 0xd8, 0x51, 0xa4, 0x18, 0x92, 0xa9, 0x5d, 0xfb, 0xa9, 0xe4, 0x42, 0xba, 0x38, 0x34, 0x1a, 0x4a, 0xc5, 0x6a, 0x37, 0xde, 0xa7, 0x0c, 0xb4, 0x7e, 0x7f, 0xde, 0xa6, 0xee, 0xcd, 0x55, 0x57, 0x05, 0x06, 0xfd, 0x5d, + /* (2^ 44)P */ 0x2f, 0x32, 0xcf, 0x2e, 0x2c, 0x7b, 0xbe, 0x9a, 0x0c, 0x57, 0x35, 0xf8, 0x87, 0xda, 0x9c, 0xec, 0x48, 0xf2, 0xbb, 0xe2, 0xda, 0x10, 0x58, 0x20, 0xc6, 0xd3, 0x87, 0xe9, 0xc7, 0x26, 0xd1, 0x9a, 0x46, 0x87, 0x90, 0xda, 0xdc, 0xde, 0xc3, 0xb3, 0xf2, 0xe8, 0x6f, 0x4a, 0xe6, 0xe8, 0x9d, 0x98, 0x36, 0x20, 0x03, 0x47, 0x15, 0x3f, 0x64, 0x59, + /* (2^ 45)P */ 0xd4, 0x71, 0x49, 0x0a, 0x67, 0x97, 0xaa, 0x3f, 0xf4, 0x1b, 0x3a, 0x6e, 0x5e, 0x17, 0xcc, 0x0a, 0x8f, 0x81, 0x6a, 0x41, 0x38, 0x77, 0x40, 0x8a, 0x11, 0x42, 0x62, 0xd2, 0x50, 0x32, 0x79, 0x78, 0x28, 0xc2, 0x2e, 0x10, 0x01, 0x94, 0x30, 0x4f, 0x7f, 0x18, 0x17, 0x56, 0x85, 0x4e, 0xad, 0xf7, 0xcb, 0x87, 0x3c, 0x3f, 0x50, 0x2c, 0xc0, 0xba, + /* (2^ 46)P */ 0xbc, 0x30, 0x8e, 0x65, 0x8e, 0x57, 0x5b, 0x38, 0x7a, 0xd4, 0x95, 0x52, 0x7a, 0x32, 0x59, 0x69, 0xcd, 0x9d, 0x47, 0x34, 0x5b, 0x55, 0xa5, 0x24, 0x60, 0xdd, 0xc0, 0xc1, 0x62, 0x73, 0x44, 0xae, 0x4c, 0x9c, 0x65, 0x55, 0x1b, 0x9d, 0x8a, 0x29, 0xb0, 0x1a, 0x52, 0xa8, 0xf1, 0xe6, 0x9a, 0xb3, 0xf6, 0xa3, 0xc9, 0x0a, 0x70, 0x7d, 0x0f, 0xee, + /* (2^ 47)P */ 0x77, 0xd3, 0xe5, 0x8e, 0xfa, 0x00, 0xeb, 0x1b, 0x7f, 0xdc, 0x68, 0x3f, 0x92, 0xbd, 0xb7, 0x0b, 0xb7, 0xb5, 0x24, 0xdf, 0xc5, 0x67, 0x53, 0xd4, 0x36, 0x79, 0xc4, 0x7b, 0x57, 0xbc, 0x99, 0x97, 0x60, 0xef, 0xe4, 0x01, 0xa1, 0xa7, 0xaa, 0x12, 0x36, 0x29, 0xb1, 0x03, 0xc2, 0x83, 0x1c, 0x2b, 0x83, 0xef, 0x2e, 0x2c, 0x23, 0x92, 0xfd, 0xd1, + /* (2^ 48)P */ 0x94, 0xef, 0x03, 0x59, 0xfa, 0x8a, 0x18, 0x76, 0xee, 0x58, 0x08, 0x4d, 0x44, 0xce, 0xf1, 0x52, 0x33, 0x49, 0xf6, 0x69, 0x71, 0xe3, 0xa9, 0xbc, 0x86, 0xe3, 0x43, 0xde, 0x33, 0x7b, 0x90, 0x8b, 0x3e, 0x7d, 0xd5, 0x4a, 0xf0, 0x23, 0x99, 0xa6, 0xea, 0x5f, 0x08, 0xe5, 0xb9, 0x49, 0x8b, 0x0d, 0x6a, 0x21, 0xab, 0x07, 0x62, 0xcd, 0xc4, 0xbe, + /* (2^ 49)P */ 0x61, 0xbf, 0x70, 0x14, 0xfa, 0x4e, 0x9e, 0x7c, 0x0c, 0xf8, 0xb2, 0x48, 0x71, 0x62, 0x83, 0xd6, 0xd1, 0xdc, 0x9c, 0x29, 0x66, 0xb1, 0x34, 0x9c, 0x8d, 0xe6, 0x88, 0xaf, 0xbe, 0xdc, 0x4d, 0xeb, 0xb0, 0xe7, 0x28, 0xae, 0xb2, 0x05, 0x56, 0xc6, 0x0e, 0x10, 0x26, 0xab, 0x2c, 0x59, 0x72, 0x03, 0x66, 0xfe, 0x8f, 0x2c, 0x51, 0x2d, 0xdc, 0xae, + /* (2^ 50)P */ 0xdc, 0x63, 0xf1, 0x8b, 0x5c, 0x65, 0x0b, 0xf1, 0xa6, 0x22, 0xe2, 0xd9, 0xdb, 0x49, 0xb1, 0x3c, 0x47, 0xc2, 0xfe, 0xac, 0x86, 0x07, 0x52, 0xec, 0xb0, 0x08, 0x69, 0xfb, 0xd1, 0x06, 0xdc, 0x48, 0x5c, 0x3d, 0xb2, 0x4d, 0xb8, 0x1a, 0x4e, 0xda, 0xb9, 0xc1, 0x2b, 0xab, 0x4b, 0x62, 0x81, 0x21, 0x9a, 0xfc, 0x3d, 0x39, 0x83, 0x11, 0x36, 0xeb, + /* (2^ 51)P */ 0x94, 0xf3, 0x17, 0xef, 0xf9, 0x60, 0x54, 0xc3, 0xd7, 0x27, 0x35, 0xc5, 0x98, 0x5e, 0xf6, 0x63, 0x6c, 0xa0, 0x4a, 0xd3, 0xa3, 0x98, 0xd9, 0x42, 0xe3, 0xf1, 0xf8, 0x81, 0x96, 0xa9, 0xea, 0x6d, 0x4b, 0x8e, 0x33, 0xca, 0x94, 0x0d, 0xa0, 0xf7, 0xbb, 0x64, 0xa3, 0x36, 0x6f, 0xdc, 0x5a, 0x94, 0x42, 0xca, 0x06, 0xb2, 0x2b, 0x9a, 0x9f, 0x71, + /* (2^ 52)P */ 0xec, 0xdb, 0xa6, 0x1f, 0xdf, 0x15, 0x36, 0xa3, 0xda, 0x8a, 0x7a, 0xb6, 0xa7, 0xe3, 0xaf, 0x52, 0xe0, 0x8d, 0xe8, 0xf2, 0x44, 0x20, 0xeb, 0xa1, 0x20, 0xc4, 0x65, 0x3c, 0x7c, 0x6c, 0x49, 0xed, 0x2f, 0x66, 0x23, 0x68, 0x61, 0x91, 0x40, 0x9f, 0x50, 0x19, 0xd1, 0x84, 0xa7, 0xe2, 0xed, 0x34, 0x37, 0xe3, 0xe4, 0x11, 0x7f, 0x87, 0x55, 0x0f, + /* (2^ 53)P */ 0xb3, 0xa1, 0x0f, 0xb0, 0x48, 0xc0, 0x4d, 0x96, 0xa7, 0xcf, 0x5a, 0x81, 0xb8, 0x4a, 0x46, 0xef, 0x0a, 0xd3, 0x40, 0x7e, 0x02, 0xe3, 0x63, 0xaa, 0x50, 0xd1, 0x2a, 0x37, 0x22, 0x4a, 0x7f, 0x4f, 0xb6, 0xf9, 0x01, 0x82, 0x78, 0x3d, 0x93, 0x14, 0x11, 0x8a, 0x90, 0x60, 0xcd, 0x45, 0x4e, 0x7b, 0x42, 0xb9, 0x3e, 0x6e, 0x68, 0x1f, 0x36, 0x41, + /* (2^ 54)P */ 0x13, 0x73, 0x0e, 0x4f, 0x79, 0x93, 0x9e, 0x29, 0x70, 0x7b, 0x4a, 0x59, 0x1a, 0x9a, 0xf4, 0x55, 0x08, 0xf0, 0xdb, 0x17, 0x58, 0xec, 0x64, 0xad, 0x7f, 0x29, 0xeb, 0x3f, 0x85, 0x4e, 0x60, 0x28, 0x98, 0x1f, 0x73, 0x4e, 0xe6, 0xa8, 0xab, 0xd5, 0xd6, 0xfc, 0xa1, 0x36, 0x6d, 0x15, 0xc6, 0x13, 0x83, 0xa0, 0xc2, 0x6e, 0xd9, 0xdb, 0xc9, 0xcc, + /* (2^ 55)P */ 0xff, 0xd8, 0x52, 0xa3, 0xdc, 0x99, 0xcf, 0x3e, 0x19, 0xb3, 0x68, 0xd0, 0xb5, 0x0d, 0xb8, 0xee, 0x3f, 0xef, 0x6e, 0xc0, 0x38, 0x28, 0x44, 0x92, 0x78, 0x91, 0x1a, 0x08, 0x78, 0x6c, 0x65, 0x24, 0xf3, 0xa2, 0x3d, 0xf2, 0xe5, 0x79, 0x62, 0x69, 0x29, 0xf4, 0x22, 0xc5, 0xdb, 0x6a, 0xae, 0xf4, 0x44, 0xa3, 0x6f, 0xc7, 0x86, 0xab, 0xef, 0xef, + /* (2^ 56)P */ 0xbf, 0x54, 0x9a, 0x09, 0x5d, 0x17, 0xd0, 0xde, 0xfb, 0xf5, 0xca, 0xff, 0x13, 0x20, 0x88, 0x82, 0x3a, 0xe2, 0xd0, 0x3b, 0xfb, 0x05, 0x76, 0xd1, 0xc0, 0x02, 0x71, 0x3b, 0x94, 0xe8, 0xc9, 0x84, 0xcf, 0xa4, 0xe9, 0x28, 0x7b, 0xf5, 0x09, 0xc3, 0x2b, 0x22, 0x40, 0xf1, 0x68, 0x24, 0x24, 0x7d, 0x9f, 0x6e, 0xcd, 0xfe, 0xb0, 0x19, 0x61, 0xf5, + /* (2^ 57)P */ 0xe8, 0x63, 0x51, 0xb3, 0x95, 0x6b, 0x7b, 0x74, 0x92, 0x52, 0x45, 0xa4, 0xed, 0xea, 0x0e, 0x0d, 0x2b, 0x01, 0x1e, 0x2c, 0xbc, 0x91, 0x06, 0x69, 0xdb, 0x1f, 0xb5, 0x77, 0x1d, 0x56, 0xf5, 0xb4, 0x02, 0x80, 0x49, 0x56, 0x12, 0xce, 0x86, 0x05, 0xc9, 0xd9, 0xae, 0xf3, 0x6d, 0xe6, 0x3f, 0x40, 0x52, 0xe9, 0x49, 0x2b, 0x31, 0x06, 0x86, 0x14, + /* (2^ 58)P */ 0xf5, 0x09, 0x3b, 0xd2, 0xff, 0xdf, 0x11, 0xa5, 0x1c, 0x99, 0xe8, 0x1b, 0xa4, 0x2c, 0x7d, 0x8e, 0xc8, 0xf7, 0x03, 0x46, 0xfa, 0xb6, 0xde, 0x73, 0x91, 0x7e, 0x5a, 0x7a, 0xd7, 0x9a, 0x5b, 0x80, 0x24, 0x62, 0x5e, 0x92, 0xf1, 0xa3, 0x45, 0xa3, 0x43, 0x92, 0x8a, 0x2a, 0x5b, 0x0c, 0xb4, 0xc8, 0xad, 0x1c, 0xb6, 0x6c, 0x5e, 0x81, 0x18, 0x91, + /* (2^ 59)P */ 0x96, 0xb3, 0xca, 0x2b, 0xe3, 0x7a, 0x59, 0x72, 0x17, 0x74, 0x29, 0x21, 0xe7, 0x78, 0x07, 0xad, 0xda, 0xb6, 0xcd, 0xf9, 0x27, 0x4d, 0xc8, 0xf2, 0x98, 0x22, 0xca, 0xf2, 0x33, 0x74, 0x7a, 0xdd, 0x1e, 0x71, 0xec, 0xe3, 0x3f, 0xe2, 0xa2, 0xd2, 0x38, 0x75, 0xb0, 0xd0, 0x0a, 0xcf, 0x7d, 0x36, 0xdc, 0x49, 0x38, 0x25, 0x34, 0x4f, 0x20, 0x9a, + /* (2^ 60)P */ 0x2b, 0x6e, 0x04, 0x0d, 0x4f, 0x3d, 0x3b, 0x24, 0xf6, 0x4e, 0x5e, 0x0a, 0xbd, 0x48, 0x96, 0xba, 0x81, 0x8f, 0x39, 0x82, 0x13, 0xe6, 0x72, 0xf3, 0x0f, 0xb6, 0x94, 0xf4, 0xc5, 0x90, 0x74, 0x91, 0xa8, 0xf2, 0xc9, 0xca, 0x9a, 0x4d, 0x98, 0xf2, 0xdf, 0x52, 0x4e, 0x97, 0x2f, 0xeb, 0x84, 0xd3, 0xaf, 0xc2, 0xcc, 0xfb, 0x4c, 0x26, 0x4b, 0xe4, + /* (2^ 61)P */ 0x12, 0x9e, 0xfb, 0x9d, 0x78, 0x79, 0x99, 0xdd, 0xb3, 0x0b, 0x2e, 0x56, 0x41, 0x8e, 0x3f, 0x39, 0xb8, 0x97, 0x89, 0x53, 0x9b, 0x8a, 0x3c, 0x40, 0x9d, 0xa4, 0x6c, 0x2e, 0x31, 0x71, 0xc6, 0x0a, 0x41, 0xd4, 0x95, 0x06, 0x5e, 0xc1, 0xab, 0xc2, 0x14, 0xc4, 0xc7, 0x15, 0x08, 0x3a, 0xad, 0x7a, 0xb4, 0x62, 0xa3, 0x0c, 0x90, 0xf4, 0x47, 0x08, + /* (2^ 62)P */ 0x7f, 0xec, 0x09, 0x82, 0xf5, 0x94, 0x09, 0x93, 0x32, 0xd3, 0xdc, 0x56, 0x80, 0x7b, 0x5b, 0x22, 0x80, 0x6a, 0x96, 0x72, 0xb1, 0xc2, 0xd9, 0xa1, 0x8b, 0x66, 0x42, 0x16, 0xe2, 0x07, 0xb3, 0x2d, 0xf1, 0x75, 0x35, 0x72, 0xc7, 0x98, 0xbe, 0x63, 0x3b, 0x20, 0x75, 0x05, 0xc1, 0x3e, 0x31, 0x5a, 0xf7, 0xaa, 0xae, 0x4b, 0xdb, 0x1d, 0xd0, 0x74, + /* (2^ 63)P */ 0x36, 0x5c, 0x74, 0xe6, 0x5d, 0x59, 0x3f, 0x15, 0x4b, 0x4d, 0x4e, 0x67, 0x41, 0xfe, 0x98, 0x1f, 0x49, 0x76, 0x91, 0x0f, 0x9b, 0xf4, 0xaf, 0x86, 0xaf, 0x66, 0x19, 0xed, 0x46, 0xf1, 0x05, 0x9a, 0xcc, 0xd1, 0x14, 0x1f, 0x82, 0x12, 0x8e, 0xe6, 0xf4, 0xc3, 0x42, 0x5c, 0x4e, 0x33, 0x93, 0xbe, 0x30, 0xe7, 0x64, 0xa9, 0x35, 0x00, 0x4d, 0xf9, + /* (2^ 64)P */ 0x1f, 0xc1, 0x1e, 0xb7, 0xe3, 0x7c, 0xfa, 0xa3, 0x6b, 0x76, 0xaf, 0x9c, 0x05, 0x85, 0x4a, 0xa9, 0xfb, 0xe3, 0x7e, 0xf2, 0x49, 0x56, 0xdc, 0x2f, 0x57, 0x10, 0xba, 0x37, 0xb2, 0x62, 0xf5, 0x6b, 0xe5, 0x8f, 0x0a, 0x87, 0xd1, 0x6a, 0xcb, 0x9d, 0x07, 0xd0, 0xf6, 0x38, 0x99, 0x2c, 0x61, 0x4a, 0x4e, 0xd8, 0xd2, 0x88, 0x29, 0x99, 0x11, 0x95, + /* (2^ 65)P */ 0x6f, 0xdc, 0xd5, 0xd6, 0xd6, 0xa7, 0x4c, 0x46, 0x93, 0x65, 0x62, 0x23, 0x95, 0x32, 0x9c, 0xde, 0x40, 0x41, 0x68, 0x2c, 0x18, 0x4e, 0x5a, 0x8c, 0xc0, 0xc5, 0xc5, 0xea, 0x5c, 0x45, 0x0f, 0x60, 0x78, 0x39, 0xb6, 0x36, 0x23, 0x12, 0xbc, 0x21, 0x9a, 0xf8, 0x91, 0xac, 0xc4, 0x70, 0xdf, 0x85, 0x8e, 0x3c, 0xec, 0x22, 0x04, 0x98, 0xa8, 0xaa, + /* (2^ 66)P */ 0xcc, 0x52, 0x10, 0x5b, 0x4b, 0x6c, 0xc5, 0xfa, 0x3e, 0xd4, 0xf8, 0x1c, 0x04, 0x14, 0x48, 0x33, 0xd9, 0xfc, 0x5f, 0xb0, 0xa5, 0x48, 0x8c, 0x45, 0x8a, 0xee, 0x3e, 0xa7, 0xc1, 0x2e, 0x34, 0xca, 0xf6, 0xc9, 0xeb, 0x10, 0xbb, 0xe1, 0x59, 0x84, 0x25, 0xe8, 0x81, 0x70, 0xc0, 0x09, 0x42, 0xa7, 0x3b, 0x0d, 0x33, 0x00, 0xb5, 0x77, 0xbe, 0x25, + /* (2^ 67)P */ 0xcd, 0x1f, 0xbc, 0x7d, 0xef, 0xe5, 0xca, 0x91, 0xaf, 0xa9, 0x59, 0x6a, 0x09, 0xca, 0xd6, 0x1b, 0x3d, 0x55, 0xde, 0xa2, 0x6a, 0x80, 0xd6, 0x95, 0x47, 0xe4, 0x5f, 0x68, 0x54, 0x08, 0xdf, 0x29, 0xba, 0x2a, 0x02, 0x84, 0xe8, 0xe9, 0x00, 0x77, 0x99, 0x36, 0x03, 0xf6, 0x4a, 0x3e, 0x21, 0x81, 0x7d, 0xb8, 0xa4, 0x8a, 0xa2, 0x05, 0xef, 0xbc, + /* (2^ 68)P */ 0x7c, 0x59, 0x5f, 0x66, 0xd9, 0xb7, 0x83, 0x43, 0x8a, 0xa1, 0x8d, 0x51, 0x70, 0xba, 0xf2, 0x9b, 0x95, 0xc0, 0x4b, 0x4c, 0xa0, 0x14, 0xd3, 0xa4, 0x5d, 0x4a, 0x37, 0x36, 0x97, 0x31, 0x1e, 0x12, 0xe7, 0xbb, 0x08, 0x67, 0xa5, 0x23, 0xd7, 0xfb, 0x97, 0xd8, 0x6a, 0x03, 0xb1, 0xf8, 0x7f, 0xda, 0x58, 0xd9, 0x3f, 0x73, 0x4a, 0x53, 0xe1, 0x7b, + /* (2^ 69)P */ 0x55, 0x83, 0x98, 0x78, 0x6c, 0x56, 0x5e, 0xed, 0xf7, 0x23, 0x3e, 0x4c, 0x7d, 0x09, 0x2d, 0x09, 0x9c, 0x58, 0x8b, 0x32, 0xca, 0xfe, 0xbf, 0x47, 0x03, 0xeb, 0x4d, 0xe7, 0xeb, 0x9c, 0x83, 0x05, 0x68, 0xaa, 0x80, 0x89, 0x44, 0xf9, 0xd4, 0xdc, 0xdb, 0xb1, 0xdb, 0x77, 0xac, 0xf9, 0x2a, 0xae, 0x35, 0xac, 0x74, 0xb5, 0x95, 0x62, 0x18, 0x85, + /* (2^ 70)P */ 0xab, 0x82, 0x7e, 0x10, 0xd7, 0xe6, 0x57, 0xd1, 0x66, 0x12, 0x31, 0x9c, 0x9c, 0xa6, 0x27, 0x59, 0x71, 0x2e, 0xeb, 0xa0, 0x68, 0xc5, 0x87, 0x51, 0xf4, 0xca, 0x3f, 0x98, 0x56, 0xb0, 0x89, 0xb1, 0xc7, 0x7b, 0x46, 0xb3, 0xae, 0x36, 0xf2, 0xee, 0x15, 0x1a, 0x60, 0xf4, 0x50, 0x76, 0x4f, 0xc4, 0x53, 0x0d, 0x36, 0x4d, 0x31, 0xb1, 0x20, 0x51, + /* (2^ 71)P */ 0xf7, 0x1d, 0x8c, 0x1b, 0x5e, 0xe5, 0x02, 0x6f, 0xc5, 0xa5, 0xe0, 0x5f, 0xc6, 0xb6, 0x63, 0x43, 0xaf, 0x3c, 0x19, 0x6c, 0xf4, 0xaf, 0xa4, 0x33, 0xb1, 0x0a, 0x37, 0x3d, 0xd9, 0x4d, 0xe2, 0x29, 0x24, 0x26, 0x94, 0x7c, 0x02, 0xe4, 0xe2, 0xf2, 0xbe, 0xbd, 0xac, 0x1b, 0x48, 0xb8, 0xdd, 0xe9, 0x0d, 0x9a, 0x50, 0x1a, 0x98, 0x71, 0x6e, 0xdc, + /* (2^ 72)P */ 0x9f, 0x40, 0xb1, 0xb3, 0x66, 0x28, 0x6c, 0xfe, 0xa6, 0x7d, 0xf8, 0x3e, 0xb8, 0xf3, 0xde, 0x52, 0x76, 0x52, 0xa3, 0x92, 0x98, 0x23, 0xab, 0x4f, 0x88, 0x97, 0xfc, 0x22, 0xe1, 0x6b, 0x67, 0xcd, 0x13, 0x95, 0xda, 0x65, 0xdd, 0x3b, 0x67, 0x3f, 0x5f, 0x4c, 0xf2, 0x8a, 0xad, 0x98, 0xa7, 0x94, 0x24, 0x45, 0x87, 0x11, 0x7c, 0x75, 0x79, 0x85, + /* (2^ 73)P */ 0x70, 0xbf, 0xf9, 0x3b, 0xa9, 0x44, 0x57, 0x72, 0x96, 0xc9, 0xa4, 0x98, 0x65, 0xbf, 0x87, 0xb3, 0x3a, 0x39, 0x12, 0xde, 0xe5, 0x39, 0x01, 0x4f, 0xf7, 0xc0, 0x71, 0x52, 0x36, 0x85, 0xb3, 0x18, 0xf8, 0x14, 0xc0, 0x6d, 0xae, 0x9e, 0x4f, 0xb0, 0x72, 0x87, 0xac, 0x5c, 0xd1, 0x6c, 0x41, 0x6c, 0x90, 0x9d, 0x22, 0x81, 0xe4, 0x2b, 0xea, 0xe5, + /* (2^ 74)P */ 0xfc, 0xea, 0x1a, 0x65, 0xd9, 0x49, 0x6a, 0x39, 0xb5, 0x96, 0x72, 0x7b, 0x32, 0xf1, 0xd0, 0xe9, 0x45, 0xd9, 0x31, 0x55, 0xc7, 0x34, 0xe9, 0x5a, 0xec, 0x73, 0x0b, 0x03, 0xc4, 0xb3, 0xe6, 0xc9, 0x5e, 0x0a, 0x17, 0xfe, 0x53, 0x66, 0x7f, 0x21, 0x18, 0x74, 0x54, 0x1b, 0xc9, 0x49, 0x16, 0xd2, 0x48, 0xaf, 0x5b, 0x47, 0x7b, 0xeb, 0xaa, 0xc9, + /* (2^ 75)P */ 0x47, 0x04, 0xf5, 0x5a, 0x87, 0x77, 0x9e, 0x21, 0x34, 0x4e, 0x83, 0x88, 0xaf, 0x02, 0x1d, 0xb0, 0x5a, 0x1d, 0x1d, 0x7d, 0x8d, 0x2c, 0xd3, 0x8d, 0x63, 0xa9, 0x45, 0xfb, 0x15, 0x6d, 0x86, 0x45, 0xcd, 0x38, 0x0e, 0xf7, 0x37, 0x79, 0xed, 0x6d, 0x5a, 0xbc, 0x32, 0xcc, 0x66, 0xf1, 0x3a, 0xb2, 0x87, 0x6f, 0x70, 0x71, 0xd9, 0xf2, 0xfa, 0x7b, + /* (2^ 76)P */ 0x68, 0x07, 0xdc, 0x61, 0x40, 0xe4, 0xec, 0x32, 0xc8, 0xbe, 0x66, 0x30, 0x54, 0x80, 0xfd, 0x13, 0x7a, 0xef, 0xae, 0xed, 0x2e, 0x00, 0x6d, 0x3f, 0xbd, 0xfc, 0x91, 0x24, 0x53, 0x7f, 0x63, 0x9d, 0x2e, 0xe3, 0x76, 0xe0, 0xf3, 0xe1, 0x8f, 0x7a, 0xc4, 0x77, 0x0c, 0x91, 0xc0, 0xc2, 0x18, 0x6b, 0x04, 0xad, 0xb6, 0x70, 0x9a, 0x64, 0xc5, 0x82, + /* (2^ 77)P */ 0x7f, 0xea, 0x13, 0xd8, 0x9e, 0xfc, 0x5b, 0x06, 0xb5, 0x4f, 0xda, 0x38, 0xe0, 0x9c, 0xd2, 0x3a, 0xc1, 0x1c, 0x62, 0x70, 0x7f, 0xc6, 0x24, 0x0a, 0x47, 0x04, 0x01, 0xc4, 0x55, 0x09, 0xd1, 0x7a, 0x07, 0xba, 0xa3, 0x80, 0x4f, 0xc1, 0x65, 0x36, 0x6d, 0xc0, 0x10, 0xcf, 0x94, 0xa9, 0xa2, 0x01, 0x44, 0xd1, 0xf9, 0x1c, 0x4c, 0xfb, 0xf8, 0x99, + /* (2^ 78)P */ 0x6c, 0xb9, 0x6b, 0xee, 0x43, 0x5b, 0xb9, 0xbb, 0xee, 0x2e, 0x52, 0xc1, 0xc6, 0xb9, 0x61, 0xd2, 0x93, 0xa5, 0xaf, 0x52, 0xf4, 0xa4, 0x1a, 0x51, 0x61, 0xa7, 0xcb, 0x9e, 0xbb, 0x56, 0x65, 0xe2, 0xbf, 0x75, 0xb9, 0x9c, 0x50, 0x96, 0x60, 0x81, 0x74, 0x47, 0xc0, 0x04, 0x88, 0x71, 0x76, 0x39, 0x9a, 0xa7, 0xb1, 0x4e, 0x43, 0x15, 0xe0, 0xbb, + /* (2^ 79)P */ 0xbb, 0xce, 0xe2, 0xbb, 0xf9, 0x17, 0x0f, 0x82, 0x40, 0xad, 0x73, 0xe3, 0xeb, 0x3b, 0x06, 0x1a, 0xcf, 0x8e, 0x6e, 0x28, 0xb8, 0x26, 0xd9, 0x5b, 0xb7, 0xb3, 0xcf, 0xb4, 0x6a, 0x1c, 0xbf, 0x7f, 0xb8, 0xb5, 0x79, 0xcf, 0x45, 0x68, 0x7d, 0xc5, 0xeb, 0xf3, 0xbe, 0x39, 0x40, 0xfc, 0x07, 0x90, 0x7a, 0x62, 0xad, 0x86, 0x08, 0x71, 0x25, 0xe1, + /* (2^ 80)P */ 0x9b, 0x46, 0xac, 0xef, 0xc1, 0x4e, 0xa1, 0x97, 0x95, 0x76, 0xf9, 0x1b, 0xc2, 0xb2, 0x6a, 0x41, 0xea, 0x80, 0x3d, 0xe9, 0x08, 0x52, 0x5a, 0xe3, 0xf2, 0x08, 0xc5, 0xea, 0x39, 0x3f, 0x44, 0x71, 0x4d, 0xea, 0x0d, 0x05, 0x23, 0xe4, 0x2e, 0x3c, 0x89, 0xfe, 0x12, 0x8a, 0x95, 0x42, 0x0a, 0x68, 0xea, 0x5a, 0x28, 0x06, 0x9e, 0xe3, 0x5f, 0xe0, + /* (2^ 81)P */ 0x00, 0x61, 0x6c, 0x98, 0x9b, 0xe7, 0xb9, 0x06, 0x1c, 0xc5, 0x1b, 0xed, 0xbe, 0xc8, 0xb3, 0xea, 0x87, 0xf0, 0xc4, 0x24, 0x7d, 0xbb, 0x5d, 0xa4, 0x1d, 0x7a, 0x16, 0x00, 0x55, 0x94, 0x67, 0x78, 0xbd, 0x58, 0x02, 0x82, 0x90, 0x53, 0x76, 0xd4, 0x72, 0x99, 0x51, 0x6f, 0x7b, 0xcf, 0x80, 0x30, 0x31, 0x3b, 0x01, 0xc7, 0xc1, 0xef, 0xe6, 0x42, + /* (2^ 82)P */ 0xe2, 0x35, 0xaf, 0x4b, 0x79, 0xc6, 0x12, 0x24, 0x99, 0xc0, 0x68, 0xb0, 0x43, 0x3e, 0xe5, 0xef, 0xe2, 0x29, 0xea, 0xb8, 0xb3, 0xbc, 0x6a, 0x53, 0x2c, 0x69, 0x18, 0x5a, 0xf9, 0x15, 0xae, 0x66, 0x58, 0x18, 0xd3, 0x2d, 0x4b, 0x00, 0xfd, 0x84, 0xab, 0x4f, 0xae, 0x70, 0x6b, 0x9e, 0x9a, 0xdf, 0x83, 0xfd, 0x2e, 0x3c, 0xcf, 0xf8, 0x88, 0x5b, + /* (2^ 83)P */ 0xa4, 0x90, 0x31, 0x85, 0x13, 0xcd, 0xdf, 0x64, 0xc9, 0xa1, 0x0b, 0xe7, 0xb6, 0x73, 0x8a, 0x1b, 0x22, 0x78, 0x4c, 0xd4, 0xae, 0x48, 0x18, 0x00, 0x00, 0xa8, 0x9f, 0x06, 0xf9, 0xfb, 0x2d, 0xc3, 0xb1, 0x2a, 0xbc, 0x13, 0x99, 0x57, 0xaf, 0xf0, 0x8d, 0x61, 0x54, 0x29, 0xd5, 0xf2, 0x72, 0x00, 0x96, 0xd1, 0x85, 0x12, 0x8a, 0xf0, 0x23, 0xfb, + /* (2^ 84)P */ 0x69, 0xc7, 0xdb, 0xd9, 0x92, 0x75, 0x08, 0x9b, 0xeb, 0xa5, 0x93, 0xd1, 0x1a, 0xf4, 0xf5, 0xaf, 0xe6, 0xc4, 0x4a, 0x0d, 0x35, 0x26, 0x39, 0x9d, 0xd3, 0x17, 0x3e, 0xae, 0x2d, 0xbf, 0x73, 0x9f, 0xb7, 0x74, 0x91, 0xd1, 0xd8, 0x5c, 0x14, 0xf9, 0x75, 0xdf, 0xeb, 0xc2, 0x22, 0xd8, 0x14, 0x8d, 0x86, 0x23, 0x4d, 0xd1, 0x2d, 0xdb, 0x6b, 0x42, + /* (2^ 85)P */ 0x8c, 0xda, 0xc6, 0xf8, 0x71, 0xba, 0x2b, 0x06, 0x78, 0xae, 0xcc, 0x3a, 0xe3, 0xe3, 0xa1, 0x8b, 0xe2, 0x34, 0x6d, 0x28, 0x9e, 0x46, 0x13, 0x4d, 0x9e, 0xa6, 0x73, 0x49, 0x65, 0x79, 0x88, 0xb9, 0x3a, 0xd1, 0x6d, 0x2f, 0x48, 0x2b, 0x0a, 0x7f, 0x58, 0x20, 0x37, 0xf4, 0x0e, 0xbb, 0x4a, 0x95, 0x58, 0x0c, 0x88, 0x30, 0xc4, 0x74, 0xdd, 0xfd, + /* (2^ 86)P */ 0x6d, 0x13, 0x4e, 0x89, 0x2d, 0xa9, 0xa3, 0xed, 0x09, 0xe3, 0x0e, 0x71, 0x3e, 0x4a, 0xab, 0x90, 0xde, 0x03, 0xeb, 0x56, 0x46, 0x60, 0x06, 0xf5, 0x71, 0xe5, 0xee, 0x9b, 0xef, 0xff, 0xc4, 0x2c, 0x9f, 0x37, 0x48, 0x45, 0x94, 0x12, 0x41, 0x81, 0x15, 0x70, 0x91, 0x99, 0x5e, 0x56, 0x6b, 0xf4, 0xa6, 0xc9, 0xf5, 0x69, 0x9d, 0x78, 0x37, 0x57, + /* (2^ 87)P */ 0xf3, 0x51, 0x57, 0x7e, 0x43, 0x6f, 0xc6, 0x67, 0x59, 0x0c, 0xcf, 0x94, 0xe6, 0x3d, 0xb5, 0x07, 0xc9, 0x77, 0x48, 0xc9, 0x68, 0x0d, 0x98, 0x36, 0x62, 0x35, 0x38, 0x1c, 0xf5, 0xc5, 0xec, 0x66, 0x78, 0xfe, 0x47, 0xab, 0x26, 0xd6, 0x44, 0xb6, 0x06, 0x0f, 0x89, 0xe3, 0x19, 0x40, 0x1a, 0xe7, 0xd8, 0x65, 0x55, 0xf7, 0x1a, 0xfc, 0xa3, 0x0e, + /* (2^ 88)P */ 0x0e, 0x30, 0xa6, 0xb7, 0x58, 0x60, 0x62, 0x2a, 0x6c, 0x13, 0xa8, 0x14, 0x9b, 0xb8, 0xf2, 0x70, 0xd8, 0xb1, 0x71, 0x88, 0x8c, 0x18, 0x31, 0x25, 0x93, 0x90, 0xb4, 0xc7, 0x49, 0xd8, 0xd4, 0xdb, 0x1e, 0x1e, 0x7f, 0xaa, 0xba, 0xc9, 0xf2, 0x5d, 0xa9, 0x3a, 0x43, 0xb4, 0x5c, 0xee, 0x7b, 0xc7, 0x97, 0xb7, 0x66, 0xd7, 0x23, 0xd9, 0x22, 0x59, + /* (2^ 89)P */ 0x28, 0x19, 0xa6, 0xf9, 0x89, 0x20, 0x78, 0xd4, 0x6d, 0xcb, 0x79, 0x8f, 0x61, 0x6f, 0xb2, 0x5c, 0x4f, 0xa6, 0x54, 0x84, 0x95, 0x24, 0x36, 0x64, 0xcb, 0x39, 0xe7, 0x8f, 0x97, 0x9c, 0x5c, 0x3c, 0xfb, 0x51, 0x11, 0x01, 0x17, 0xdb, 0xc9, 0x9b, 0x51, 0x03, 0x9a, 0xe9, 0xe5, 0x24, 0x1e, 0xf5, 0xda, 0xe0, 0x48, 0x02, 0x23, 0xd0, 0x2c, 0x81, + /* (2^ 90)P */ 0x42, 0x1b, 0xe4, 0x91, 0x85, 0x2a, 0x0c, 0xd2, 0x28, 0x66, 0x57, 0x9e, 0x33, 0x8d, 0x25, 0x71, 0x10, 0x65, 0x76, 0xa2, 0x8c, 0x21, 0x86, 0x81, 0x15, 0xc2, 0x27, 0xeb, 0x54, 0x2d, 0x4f, 0x6c, 0xe6, 0xd6, 0x24, 0x9c, 0x1a, 0x12, 0xb8, 0x81, 0xe2, 0x0a, 0xf3, 0xd3, 0xf0, 0xd3, 0xe1, 0x74, 0x1f, 0x9b, 0x11, 0x47, 0xd0, 0xcf, 0xb6, 0x54, + /* (2^ 91)P */ 0x26, 0x45, 0xa2, 0x10, 0xd4, 0x2d, 0xae, 0xc0, 0xb0, 0xe8, 0x86, 0xb3, 0xc7, 0xea, 0x70, 0x87, 0x61, 0xb5, 0xa5, 0x55, 0xbe, 0x88, 0x1d, 0x7a, 0xd9, 0x6f, 0xeb, 0x83, 0xe2, 0x44, 0x7f, 0x98, 0x04, 0xd6, 0x50, 0x9d, 0xa7, 0x86, 0x66, 0x09, 0x63, 0xe1, 0xed, 0x72, 0xb1, 0xe4, 0x1d, 0x3a, 0xfd, 0x47, 0xce, 0x1c, 0xaa, 0x3b, 0x8f, 0x1b, + /* (2^ 92)P */ 0xf4, 0x3c, 0x4a, 0xb6, 0xc2, 0x9c, 0xe0, 0x2e, 0xb7, 0x38, 0xea, 0x61, 0x35, 0x97, 0x10, 0x90, 0xae, 0x22, 0x48, 0xb3, 0xa9, 0xc6, 0x7a, 0xbb, 0x23, 0xf2, 0xf8, 0x1b, 0xa7, 0xa1, 0x79, 0xcc, 0xc4, 0xf8, 0x08, 0x76, 0x8a, 0x5a, 0x1c, 0x1b, 0xc5, 0x33, 0x91, 0xa9, 0xb8, 0xb9, 0xd3, 0xf8, 0x49, 0xcd, 0xe5, 0x82, 0x43, 0xf7, 0xca, 0x68, + /* (2^ 93)P */ 0x38, 0xba, 0xae, 0x44, 0xfe, 0x57, 0x64, 0x56, 0x7c, 0x0e, 0x9c, 0xca, 0xff, 0xa9, 0x82, 0xbb, 0x38, 0x4a, 0xa7, 0xf7, 0x47, 0xab, 0xbe, 0x6d, 0x23, 0x0b, 0x8a, 0xed, 0xc2, 0xb9, 0x8f, 0xf1, 0xec, 0x91, 0x44, 0x73, 0x64, 0xba, 0xd5, 0x8f, 0x37, 0x38, 0x0d, 0xd5, 0xf8, 0x73, 0x57, 0xb6, 0xc2, 0x45, 0xdc, 0x25, 0xb2, 0xb6, 0xea, 0xd9, + /* (2^ 94)P */ 0xbf, 0xe9, 0x1a, 0x40, 0x4d, 0xcc, 0xe6, 0x1d, 0x70, 0x1a, 0x65, 0xcc, 0x34, 0x2c, 0x37, 0x2c, 0x2d, 0x6b, 0x6d, 0xe5, 0x2f, 0x19, 0x9e, 0xe4, 0xe1, 0xaa, 0xd4, 0xab, 0x54, 0xf4, 0xa8, 0xe4, 0x69, 0x2d, 0x8e, 0x4d, 0xd7, 0xac, 0xb0, 0x5b, 0xfe, 0xe3, 0x26, 0x07, 0xc3, 0xf8, 0x1b, 0x43, 0xa8, 0x1d, 0x64, 0xa5, 0x25, 0x88, 0xbb, 0x77, + /* (2^ 95)P */ 0x92, 0xcd, 0x6e, 0xa0, 0x79, 0x04, 0x18, 0xf4, 0x11, 0x58, 0x48, 0xb5, 0x3c, 0x7b, 0xd1, 0xcc, 0xd3, 0x14, 0x2c, 0xa0, 0xdd, 0x04, 0x44, 0x11, 0xb3, 0x6d, 0x2f, 0x0d, 0xf5, 0x2a, 0x75, 0x5d, 0x1d, 0xda, 0x86, 0x8d, 0x7d, 0x6b, 0x32, 0x68, 0xb6, 0x6c, 0x64, 0x9e, 0xde, 0x80, 0x88, 0xce, 0x08, 0xbf, 0x0b, 0xe5, 0x8e, 0x4f, 0x1d, 0xfb, + /* (2^ 96)P */ 0xaf, 0xe8, 0x85, 0xbf, 0x7f, 0x37, 0x8d, 0x66, 0x7c, 0xd5, 0xd3, 0x96, 0xa5, 0x81, 0x67, 0x95, 0xff, 0x48, 0xde, 0xde, 0xd7, 0x7a, 0x46, 0x34, 0xb1, 0x13, 0x70, 0x29, 0xed, 0x87, 0x90, 0xb0, 0x40, 0x2c, 0xa6, 0x43, 0x6e, 0xb6, 0xbc, 0x48, 0x8a, 0xc1, 0xae, 0xb8, 0xd4, 0xe2, 0xc0, 0x32, 0xb2, 0xa6, 0x2a, 0x8f, 0xb5, 0x16, 0x9e, 0xc3, + /* (2^ 97)P */ 0xff, 0x4d, 0xd2, 0xd6, 0x74, 0xef, 0x2c, 0x96, 0xc1, 0x11, 0xa8, 0xb8, 0xfe, 0x94, 0x87, 0x3e, 0xa0, 0xfb, 0x57, 0xa3, 0xfc, 0x7a, 0x7e, 0x6a, 0x59, 0x6c, 0x54, 0xbb, 0xbb, 0xa2, 0x25, 0x38, 0x1b, 0xdf, 0x5d, 0x7b, 0x94, 0x14, 0xde, 0x07, 0x6e, 0xd3, 0xab, 0x02, 0x26, 0x74, 0x16, 0x12, 0xdf, 0x2e, 0x2a, 0xa7, 0xb0, 0xe8, 0x29, 0xc0, + /* (2^ 98)P */ 0x6a, 0x38, 0x0b, 0xd3, 0xba, 0x45, 0x23, 0xe0, 0x04, 0x3b, 0x83, 0x39, 0xc5, 0x11, 0xe6, 0xcf, 0x39, 0x0a, 0xb3, 0xb0, 0x3b, 0x27, 0x29, 0x63, 0x1c, 0xf3, 0x00, 0xe6, 0xd2, 0x55, 0x21, 0x1f, 0x84, 0x97, 0x9f, 0x01, 0x49, 0x43, 0x30, 0x5f, 0xe0, 0x1d, 0x24, 0xc4, 0x4e, 0xa0, 0x2b, 0x0b, 0x12, 0x55, 0xc3, 0x27, 0xae, 0x08, 0x83, 0x7c, + /* (2^ 99)P */ 0x5d, 0x1a, 0xb7, 0xa9, 0xf5, 0xfd, 0xec, 0xad, 0xb7, 0x87, 0x02, 0x5f, 0x0d, 0x30, 0x4d, 0xe2, 0x65, 0x87, 0xa4, 0x41, 0x45, 0x1d, 0x67, 0xe0, 0x30, 0x5c, 0x13, 0x87, 0xf6, 0x2e, 0x08, 0xc1, 0xc7, 0x12, 0x45, 0xc8, 0x9b, 0xad, 0xb8, 0xd5, 0x57, 0xbb, 0x5c, 0x48, 0x3a, 0xe1, 0x91, 0x5e, 0xf6, 0x4d, 0x8a, 0x63, 0x75, 0x69, 0x0c, 0x01, + /* (2^100)P */ 0x8f, 0x53, 0x2d, 0xa0, 0x71, 0x3d, 0xfc, 0x45, 0x10, 0x96, 0xcf, 0x56, 0xf9, 0xbb, 0x40, 0x3c, 0x86, 0x52, 0x76, 0xbe, 0x84, 0xf9, 0xa6, 0x9d, 0x3d, 0x27, 0xbe, 0xb4, 0x00, 0x49, 0x94, 0xf5, 0x5d, 0xe1, 0x62, 0x85, 0x66, 0xe5, 0xb8, 0x20, 0x2c, 0x09, 0x7d, 0x9d, 0x3d, 0x6e, 0x74, 0x39, 0xab, 0xad, 0xa0, 0x90, 0x97, 0x5f, 0xbb, 0xa7, + /* (2^101)P */ 0xdb, 0x2d, 0x99, 0x08, 0x16, 0x46, 0x83, 0x7a, 0xa8, 0xea, 0x3d, 0x28, 0x5b, 0x49, 0xfc, 0xb9, 0x6d, 0x00, 0x9e, 0x54, 0x4f, 0x47, 0x64, 0x9b, 0x58, 0x4d, 0x07, 0x0c, 0x6f, 0x29, 0x56, 0x0b, 0x00, 0x14, 0x85, 0x96, 0x41, 0x04, 0xb9, 0x5c, 0xa4, 0xf6, 0x16, 0x73, 0x6a, 0xc7, 0x62, 0x0c, 0x65, 0x2f, 0x93, 0xbf, 0xf7, 0xb9, 0xb7, 0xf1, + /* (2^102)P */ 0xeb, 0x6d, 0xb3, 0x46, 0x32, 0xd2, 0xcb, 0x08, 0x94, 0x14, 0xbf, 0x3f, 0xc5, 0xcb, 0x5f, 0x9f, 0x8a, 0x89, 0x0c, 0x1b, 0x45, 0xad, 0x4c, 0x50, 0xb4, 0xe1, 0xa0, 0x6b, 0x11, 0x92, 0xaf, 0x1f, 0x00, 0xcc, 0xe5, 0x13, 0x7e, 0xe4, 0x2e, 0xa0, 0x57, 0xf3, 0xa7, 0x84, 0x79, 0x7a, 0xc2, 0xb7, 0xb7, 0xfc, 0x5d, 0xa5, 0xa9, 0x64, 0xcc, 0xd8, + /* (2^103)P */ 0xa9, 0xc4, 0x12, 0x8b, 0x34, 0x78, 0x3e, 0x38, 0xfd, 0x3f, 0x87, 0xfa, 0x88, 0x94, 0xd5, 0xd9, 0x7f, 0xeb, 0x58, 0xff, 0xb9, 0x45, 0xdb, 0xa1, 0xed, 0x22, 0x28, 0x1d, 0x00, 0x6d, 0x79, 0x85, 0x7a, 0x75, 0x5d, 0xf0, 0xb1, 0x9e, 0x47, 0x28, 0x8c, 0x62, 0xdf, 0xfb, 0x4c, 0x7b, 0xc5, 0x1a, 0x42, 0x95, 0xef, 0x9a, 0xb7, 0x27, 0x7e, 0xda, + /* (2^104)P */ 0xca, 0xd5, 0xc0, 0x17, 0xa1, 0x66, 0x79, 0x9c, 0x2a, 0xb7, 0x0a, 0xfe, 0x62, 0xe4, 0x26, 0x78, 0x90, 0xa7, 0xcb, 0xb0, 0x4f, 0x6d, 0xf9, 0x8f, 0xf7, 0x7d, 0xac, 0xb8, 0x78, 0x1f, 0x41, 0xea, 0x97, 0x1e, 0x62, 0x97, 0x43, 0x80, 0x58, 0x80, 0xb6, 0x69, 0x7d, 0xee, 0x16, 0xd2, 0xa1, 0x81, 0xd7, 0xb1, 0x27, 0x03, 0x48, 0xda, 0xab, 0xec, + /* (2^105)P */ 0x5b, 0xed, 0x40, 0x8e, 0x8c, 0xc1, 0x66, 0x90, 0x7f, 0x0c, 0xb2, 0xfc, 0xbd, 0x16, 0xac, 0x7d, 0x4c, 0x6a, 0xf9, 0xae, 0xe7, 0x4e, 0x11, 0x12, 0xe9, 0xbe, 0x17, 0x09, 0xc6, 0xc1, 0x5e, 0xb5, 0x7b, 0x50, 0x5c, 0x27, 0xfb, 0x80, 0xab, 0x01, 0xfa, 0x5b, 0x9b, 0x75, 0x16, 0x6e, 0xb2, 0x5c, 0x8c, 0x2f, 0xa5, 0x6a, 0x1a, 0x68, 0xa6, 0x90, + /* (2^106)P */ 0x75, 0xfe, 0xb6, 0x96, 0x96, 0x87, 0x4c, 0x12, 0xa9, 0xd1, 0xd8, 0x03, 0xa3, 0xc1, 0x15, 0x96, 0xe8, 0xa0, 0x75, 0x82, 0xa0, 0x6d, 0xea, 0x54, 0xdc, 0x5f, 0x0d, 0x7e, 0xf6, 0x70, 0xb5, 0xdc, 0x7a, 0xf6, 0xc4, 0xd4, 0x21, 0x49, 0xf5, 0xd4, 0x14, 0x6d, 0x48, 0x1d, 0x7c, 0x99, 0x42, 0xdf, 0x78, 0x6b, 0x9d, 0xb9, 0x30, 0x3c, 0xd0, 0x29, + /* (2^107)P */ 0x85, 0xd6, 0xd8, 0xf3, 0x91, 0x74, 0xdd, 0xbd, 0x72, 0x96, 0x10, 0xe4, 0x76, 0x02, 0x5a, 0x72, 0x67, 0xd3, 0x17, 0x72, 0x14, 0x9a, 0x20, 0x5b, 0x0f, 0x8d, 0xed, 0x6d, 0x4e, 0xe3, 0xd9, 0x82, 0xc2, 0x99, 0xee, 0x39, 0x61, 0x69, 0x8a, 0x24, 0x01, 0x92, 0x15, 0xe7, 0xfc, 0xf9, 0x4d, 0xac, 0xf1, 0x30, 0x49, 0x01, 0x0b, 0x6e, 0x0f, 0x20, + /* (2^108)P */ 0xd8, 0x25, 0x94, 0x5e, 0x43, 0x29, 0xf5, 0xcc, 0xe8, 0xe3, 0x55, 0x41, 0x3c, 0x9f, 0x58, 0x5b, 0x00, 0xeb, 0xc5, 0xdf, 0xcf, 0xfb, 0xfd, 0x6e, 0x92, 0xec, 0x99, 0x30, 0xd6, 0x05, 0xdd, 0x80, 0x7a, 0x5d, 0x6d, 0x16, 0x85, 0xd8, 0x9d, 0x43, 0x65, 0xd8, 0x2c, 0x33, 0x2f, 0x5c, 0x41, 0xea, 0xb7, 0x95, 0x77, 0xf2, 0x9e, 0x59, 0x09, 0xe8, + /* (2^109)P */ 0x00, 0xa0, 0x03, 0x80, 0xcd, 0x60, 0xe5, 0x17, 0xd4, 0x15, 0x99, 0xdd, 0x4f, 0xbf, 0x66, 0xb8, 0xc0, 0xf5, 0xf9, 0xfc, 0x6d, 0x42, 0x18, 0x34, 0x1c, 0x7d, 0x5b, 0xb5, 0x09, 0xd0, 0x99, 0x57, 0x81, 0x0b, 0x62, 0xb3, 0xa2, 0xf9, 0x0b, 0xae, 0x95, 0xb8, 0xc2, 0x3b, 0x0d, 0x5b, 0x00, 0xf1, 0xed, 0xbc, 0x05, 0x9d, 0x61, 0xbc, 0x73, 0x9d, + /* (2^110)P */ 0xd4, 0xdb, 0x29, 0xe5, 0x85, 0xe9, 0xc6, 0x89, 0x2a, 0xa8, 0x54, 0xab, 0xb3, 0x7f, 0x88, 0xc0, 0x4d, 0xe0, 0xd1, 0x74, 0x6e, 0xa3, 0xa7, 0x39, 0xd5, 0xcc, 0xa1, 0x8a, 0xcb, 0x5b, 0x34, 0xad, 0x92, 0xb4, 0xd8, 0xd5, 0x17, 0xf6, 0x77, 0x18, 0x9e, 0xaf, 0x45, 0x3b, 0x03, 0xe2, 0xf8, 0x52, 0x60, 0xdc, 0x15, 0x20, 0x9e, 0xdf, 0xd8, 0x5d, + /* (2^111)P */ 0x02, 0xc1, 0xac, 0x1a, 0x15, 0x8e, 0x6c, 0xf5, 0x1e, 0x1e, 0xba, 0x7e, 0xc2, 0xda, 0x7d, 0x02, 0xda, 0x43, 0xae, 0x04, 0x70, 0x28, 0x54, 0x78, 0x94, 0xf5, 0x4f, 0x07, 0x84, 0x8f, 0xed, 0xaa, 0xc0, 0xb8, 0xcd, 0x7f, 0x7e, 0x33, 0xa3, 0xbe, 0x21, 0x29, 0xc8, 0x56, 0x34, 0xc0, 0x76, 0x87, 0x8f, 0xc7, 0x73, 0x58, 0x90, 0x16, 0xfc, 0xd6, + /* (2^112)P */ 0xb8, 0x3f, 0xe1, 0xdf, 0x3a, 0x91, 0x25, 0x0c, 0xf6, 0x47, 0xa8, 0x89, 0xc4, 0xc6, 0x61, 0xec, 0x86, 0x2c, 0xfd, 0xbe, 0xa4, 0x6f, 0xc2, 0xd4, 0x46, 0x19, 0x70, 0x5d, 0x09, 0x02, 0x86, 0xd3, 0x4b, 0xe9, 0x16, 0x7b, 0xf0, 0x0d, 0x6c, 0xff, 0x91, 0x05, 0xbf, 0x55, 0xb4, 0x00, 0x8d, 0xe5, 0x6d, 0x68, 0x20, 0x90, 0x12, 0xb5, 0x5c, 0x32, + /* (2^113)P */ 0x80, 0x45, 0xc8, 0x51, 0x87, 0xba, 0x1c, 0x5c, 0xcf, 0x5f, 0x4b, 0x3c, 0x9e, 0x3b, 0x36, 0xd2, 0x26, 0xa2, 0x7f, 0xab, 0xb7, 0xbf, 0xda, 0x68, 0x23, 0x8f, 0xc3, 0xa0, 0xfd, 0xad, 0xf1, 0x56, 0x3b, 0xd0, 0x75, 0x2b, 0x44, 0x61, 0xd8, 0xf4, 0xf1, 0x05, 0x49, 0x53, 0x07, 0xee, 0x47, 0xef, 0xc0, 0x7c, 0x9d, 0xe4, 0x15, 0x88, 0xc5, 0x47, + /* (2^114)P */ 0x2d, 0xb5, 0x09, 0x80, 0xb9, 0xd3, 0xd8, 0xfe, 0x4c, 0xd2, 0xa6, 0x6e, 0xd3, 0x75, 0xcf, 0xb0, 0x99, 0xcb, 0x50, 0x8d, 0xe9, 0x67, 0x9b, 0x20, 0xe8, 0x57, 0xd8, 0x14, 0x85, 0x73, 0x6a, 0x74, 0xe0, 0x99, 0xf0, 0x6b, 0x6e, 0x59, 0x30, 0x31, 0x33, 0x96, 0x5f, 0xa1, 0x0c, 0x1b, 0xf4, 0xca, 0x09, 0xe1, 0x9b, 0xb5, 0xcf, 0x6d, 0x0b, 0xeb, + /* (2^115)P */ 0x1a, 0xde, 0x50, 0xa9, 0xac, 0x3e, 0x10, 0x43, 0x4f, 0x82, 0x4f, 0xc0, 0xfe, 0x3f, 0x33, 0xd2, 0x64, 0x86, 0x50, 0xa9, 0x51, 0x76, 0x5e, 0x50, 0x97, 0x6c, 0x73, 0x8d, 0x77, 0xa3, 0x75, 0x03, 0xbc, 0xc9, 0xfb, 0x50, 0xd9, 0x6d, 0x16, 0xad, 0x5d, 0x32, 0x3d, 0xac, 0x44, 0xdf, 0x51, 0xf7, 0x19, 0xd4, 0x0b, 0x57, 0x78, 0x0b, 0x81, 0x4e, + /* (2^116)P */ 0x32, 0x24, 0xf1, 0x6c, 0x55, 0x62, 0x1d, 0xb3, 0x1f, 0xda, 0xfa, 0x6a, 0x8f, 0x98, 0x01, 0x16, 0xde, 0x44, 0x50, 0x0d, 0x2e, 0x6c, 0x0b, 0xa2, 0xd3, 0x74, 0x0e, 0xa9, 0xbf, 0x8d, 0xa9, 0xc8, 0xc8, 0x2f, 0x62, 0xc1, 0x35, 0x5e, 0xfd, 0x3a, 0xb3, 0x83, 0x2d, 0xee, 0x4e, 0xfd, 0x5c, 0x5e, 0xad, 0x85, 0xa5, 0x10, 0xb5, 0x4f, 0x34, 0xa7, + /* (2^117)P */ 0xd1, 0x58, 0x6f, 0xe6, 0x54, 0x2c, 0xc2, 0xcd, 0xcf, 0x83, 0xdc, 0x88, 0x0c, 0xb9, 0xb4, 0x62, 0x18, 0x89, 0x65, 0x28, 0xe9, 0x72, 0x4b, 0x65, 0xcf, 0xd6, 0x90, 0x88, 0xd7, 0x76, 0x17, 0x4f, 0x74, 0x64, 0x1e, 0xcb, 0xd3, 0xf5, 0x4b, 0xaa, 0x2e, 0x4d, 0x2d, 0x7c, 0x13, 0x1f, 0xfd, 0xd9, 0x60, 0x83, 0x7e, 0xda, 0x64, 0x1c, 0xdc, 0x9f, + /* (2^118)P */ 0xad, 0xef, 0xac, 0x1b, 0xc1, 0x30, 0x5a, 0x15, 0xc9, 0x1f, 0xac, 0xf1, 0xca, 0x44, 0x95, 0x95, 0xea, 0xf2, 0x22, 0xe7, 0x8d, 0x25, 0xf0, 0xff, 0xd8, 0x71, 0xf7, 0xf8, 0x8f, 0x8f, 0xcd, 0xf4, 0x1e, 0xfe, 0x6c, 0x68, 0x04, 0xb8, 0x78, 0xa1, 0x5f, 0xa6, 0x5d, 0x5e, 0xf9, 0x8d, 0xea, 0x80, 0xcb, 0xf3, 0x17, 0xa6, 0x03, 0xc9, 0x38, 0xd5, + /* (2^119)P */ 0x79, 0x14, 0x31, 0xc3, 0x38, 0xe5, 0xaa, 0xbf, 0x17, 0xa3, 0x04, 0x4e, 0x80, 0x59, 0x9c, 0x9f, 0x19, 0x39, 0xe4, 0x2d, 0x23, 0x54, 0x4a, 0x7f, 0x3e, 0xf3, 0xd9, 0xc7, 0xba, 0x6c, 0x8f, 0x6b, 0xfa, 0x34, 0xb5, 0x23, 0x17, 0x1d, 0xff, 0x1d, 0xea, 0x1f, 0xd7, 0xba, 0x61, 0xb2, 0xe0, 0x38, 0x6a, 0xe9, 0xcf, 0x48, 0x5d, 0x6a, 0x10, 0x9c, + /* (2^120)P */ 0xc8, 0xbb, 0x13, 0x1c, 0x3f, 0x3c, 0x34, 0xfd, 0xac, 0x37, 0x52, 0x44, 0x25, 0xa8, 0xde, 0x1d, 0x63, 0xf4, 0x81, 0x9a, 0xbe, 0x0b, 0x74, 0x2e, 0xc8, 0x51, 0x16, 0xd3, 0xac, 0x4a, 0xaf, 0xe2, 0x5f, 0x3a, 0x89, 0x32, 0xd1, 0x9b, 0x7c, 0x90, 0x0d, 0xac, 0xdc, 0x8b, 0x73, 0x45, 0x45, 0x97, 0xb1, 0x90, 0x2c, 0x1b, 0x31, 0xca, 0xb1, 0x94, + /* (2^121)P */ 0x07, 0x28, 0xdd, 0x10, 0x14, 0xa5, 0x95, 0x7e, 0xf3, 0xe4, 0xd4, 0x14, 0xb4, 0x7e, 0x76, 0xdb, 0x42, 0xd6, 0x94, 0x3e, 0xeb, 0x44, 0x64, 0x88, 0x0d, 0xec, 0xc1, 0x21, 0xf0, 0x79, 0xe0, 0x83, 0x67, 0x55, 0x53, 0xc2, 0xf6, 0xc5, 0xc5, 0x89, 0x39, 0xe8, 0x42, 0xd0, 0x17, 0xbd, 0xff, 0x35, 0x59, 0x0e, 0xc3, 0x06, 0x86, 0xd4, 0x64, 0xcf, + /* (2^122)P */ 0x91, 0xa8, 0xdb, 0x57, 0x9b, 0xe2, 0x96, 0x31, 0x10, 0x6e, 0xd7, 0x9a, 0x97, 0xb3, 0xab, 0xb5, 0x15, 0x66, 0xbe, 0xcc, 0x6d, 0x9a, 0xac, 0x06, 0xb3, 0x0d, 0xaa, 0x4b, 0x9c, 0x96, 0x79, 0x6c, 0x34, 0xee, 0x9e, 0x53, 0x4d, 0x6e, 0xbd, 0x88, 0x02, 0xbf, 0x50, 0x54, 0x12, 0x5d, 0x01, 0x02, 0x46, 0xc6, 0x74, 0x02, 0x8c, 0x24, 0xae, 0xb1, + /* (2^123)P */ 0xf5, 0x22, 0xea, 0xac, 0x7d, 0x9c, 0x33, 0x8a, 0xa5, 0x36, 0x79, 0x6a, 0x4f, 0xa4, 0xdc, 0xa5, 0x73, 0x64, 0xc4, 0x6f, 0x43, 0x02, 0x3b, 0x94, 0x66, 0xd2, 0x4b, 0x4f, 0xf6, 0x45, 0x33, 0x5d, 0x10, 0x33, 0x18, 0x1e, 0xa3, 0xfc, 0xf7, 0xd2, 0xb8, 0xc8, 0xa7, 0xe0, 0x76, 0x8a, 0xcd, 0xff, 0x4f, 0x99, 0x34, 0x47, 0x84, 0x91, 0x96, 0x9f, + /* (2^124)P */ 0x8a, 0x48, 0x3b, 0x48, 0x4a, 0xbc, 0xac, 0xe2, 0x80, 0xd6, 0xd2, 0x35, 0xde, 0xd0, 0x56, 0x42, 0x33, 0xb3, 0x56, 0x5a, 0xcd, 0xb8, 0x3d, 0xb5, 0x25, 0xc1, 0xed, 0xff, 0x87, 0x0b, 0x79, 0xff, 0xf2, 0x62, 0xe1, 0x76, 0xc6, 0xa2, 0x0f, 0xa8, 0x9b, 0x0d, 0xcc, 0x3f, 0x3d, 0x35, 0x27, 0x8d, 0x0b, 0x74, 0xb0, 0xc3, 0x78, 0x8c, 0xcc, 0xc8, + /* (2^125)P */ 0xfc, 0x9a, 0x0c, 0xa8, 0x49, 0x42, 0xb8, 0xdf, 0xcf, 0xb3, 0x19, 0xa6, 0x64, 0x57, 0xfe, 0xe8, 0xf8, 0xa6, 0x4b, 0x86, 0xa1, 0xd5, 0x83, 0x7f, 0x14, 0x99, 0x18, 0x0c, 0x7d, 0x5b, 0xf7, 0x3d, 0xf9, 0x4b, 0x79, 0xb1, 0x86, 0x30, 0xb4, 0x5e, 0x6a, 0xe8, 0x9d, 0xfa, 0x8a, 0x41, 0xc4, 0x30, 0xfc, 0x56, 0x74, 0x14, 0x42, 0xc8, 0x96, 0x0e, + /* (2^126)P */ 0xdf, 0x66, 0xec, 0xbc, 0x44, 0xdb, 0x19, 0xce, 0xd4, 0xb5, 0x49, 0x40, 0x07, 0x49, 0xe0, 0x3a, 0x61, 0x10, 0xfb, 0x7d, 0xba, 0xb1, 0xe0, 0x28, 0x5b, 0x99, 0x59, 0x96, 0xa2, 0xee, 0xe0, 0x23, 0x37, 0x39, 0x1f, 0xe6, 0x57, 0x9f, 0xf8, 0xf8, 0xdc, 0x74, 0xf6, 0x8f, 0x4f, 0x5e, 0x51, 0xa4, 0x12, 0xac, 0xbe, 0xe4, 0xf3, 0xd1, 0xf0, 0x24, + /* (2^127)P */ 0x1e, 0x3e, 0x9a, 0x5f, 0xdf, 0x9f, 0xd6, 0x4e, 0x8a, 0x28, 0xc3, 0xcd, 0x96, 0x9d, 0x57, 0xc7, 0x61, 0x81, 0x90, 0xff, 0xae, 0xb1, 0x4f, 0xc2, 0x96, 0x8b, 0x1a, 0x18, 0xf4, 0x50, 0xcb, 0x31, 0xe1, 0x57, 0xf4, 0x90, 0xa8, 0xea, 0xac, 0xe7, 0x61, 0x98, 0xb6, 0x15, 0xc1, 0x7b, 0x29, 0xa4, 0xc3, 0x18, 0xef, 0xb9, 0xd8, 0xdf, 0xf6, 0xac, + /* (2^128)P */ 0xca, 0xa8, 0x6c, 0xf1, 0xb4, 0xca, 0xfe, 0x31, 0xee, 0x48, 0x38, 0x8b, 0x0e, 0xbb, 0x7a, 0x30, 0xaa, 0xf9, 0xee, 0x27, 0x53, 0x24, 0xdc, 0x2e, 0x15, 0xa6, 0x48, 0x8f, 0xa0, 0x7e, 0xf1, 0xdc, 0x93, 0x87, 0x39, 0xeb, 0x7f, 0x38, 0x92, 0x92, 0x4c, 0x29, 0xe9, 0x57, 0xd8, 0x59, 0xfc, 0xe9, 0x9c, 0x44, 0xc0, 0x65, 0xcf, 0xac, 0x4b, 0xdc, + /* (2^129)P */ 0xa3, 0xd0, 0x37, 0x8f, 0x86, 0x2f, 0xc6, 0x47, 0x55, 0x46, 0x65, 0x26, 0x4b, 0x91, 0xe2, 0x18, 0x5c, 0x4f, 0x23, 0xc1, 0x37, 0x29, 0xb9, 0xc1, 0x27, 0xc5, 0x3c, 0xbf, 0x7e, 0x23, 0xdb, 0x73, 0x99, 0xbd, 0x1b, 0xb2, 0x31, 0x68, 0x3a, 0xad, 0xb7, 0xb0, 0x10, 0xc5, 0xe5, 0x11, 0x51, 0xba, 0xa7, 0x60, 0x66, 0x54, 0xf0, 0x08, 0xd7, 0x69, + /* (2^130)P */ 0x89, 0x41, 0x79, 0xcc, 0xeb, 0x0a, 0xf5, 0x4b, 0xa3, 0x4c, 0xce, 0x52, 0xb0, 0xa7, 0xe4, 0x41, 0x75, 0x7d, 0x04, 0xbb, 0x09, 0x4c, 0x50, 0x9f, 0xdf, 0xea, 0x74, 0x61, 0x02, 0xad, 0xb4, 0x9d, 0xb7, 0x05, 0xb9, 0xea, 0xeb, 0x91, 0x35, 0xe7, 0x49, 0xea, 0xd3, 0x4f, 0x3c, 0x60, 0x21, 0x7a, 0xde, 0xc7, 0xe2, 0x5a, 0xee, 0x8e, 0x93, 0xc7, + /* (2^131)P */ 0x00, 0xe8, 0xed, 0xd0, 0xb3, 0x0d, 0xaf, 0xb2, 0xde, 0x2c, 0xf6, 0x00, 0xe2, 0xea, 0x6d, 0xf8, 0x0e, 0xd9, 0x67, 0x59, 0xa9, 0x50, 0xbb, 0x17, 0x8f, 0xff, 0xb1, 0x9f, 0x17, 0xb6, 0xf2, 0xb5, 0xba, 0x80, 0xf7, 0x0f, 0xba, 0xd5, 0x09, 0x43, 0xaa, 0x4e, 0x3a, 0x67, 0x6a, 0x89, 0x9b, 0x18, 0x65, 0x35, 0xf8, 0x3a, 0x49, 0x91, 0x30, 0x51, + /* (2^132)P */ 0x8d, 0x25, 0xe9, 0x0e, 0x7d, 0x50, 0x76, 0xe4, 0x58, 0x7e, 0xb9, 0x33, 0xe6, 0x65, 0x90, 0xc2, 0x50, 0x9d, 0x50, 0x2e, 0x11, 0xad, 0xd5, 0x43, 0x52, 0x32, 0x41, 0x4f, 0x7b, 0xb6, 0xa0, 0xec, 0x81, 0x75, 0x36, 0x7c, 0x77, 0x85, 0x59, 0x70, 0xe4, 0xf9, 0xef, 0x66, 0x8d, 0x35, 0xc8, 0x2a, 0x6e, 0x5b, 0xc6, 0x0d, 0x0b, 0x29, 0x60, 0x68, + /* (2^133)P */ 0xf8, 0xce, 0xb0, 0x3a, 0x56, 0x7d, 0x51, 0x9a, 0x25, 0x73, 0xea, 0xdd, 0xe4, 0xe0, 0x0e, 0xf0, 0x07, 0xc0, 0x31, 0x00, 0x73, 0x35, 0xd0, 0x39, 0xc4, 0x9b, 0xb7, 0x95, 0xe0, 0x62, 0x70, 0x36, 0x0b, 0xcb, 0xa0, 0x42, 0xde, 0x51, 0xcf, 0x41, 0xe0, 0xb8, 0xb4, 0xc0, 0xe5, 0x46, 0x99, 0x9f, 0x02, 0x7f, 0x14, 0x8c, 0xc1, 0x4e, 0xef, 0xe8, + /* (2^134)P */ 0x10, 0x01, 0x57, 0x0a, 0xbe, 0x8b, 0x18, 0xc8, 0xca, 0x00, 0x28, 0x77, 0x4a, 0x9a, 0xc7, 0x55, 0x2a, 0xcc, 0x0c, 0x7b, 0xb9, 0xe9, 0xc8, 0x97, 0x7c, 0x02, 0xe3, 0x09, 0x2f, 0x62, 0x30, 0xb8, 0x40, 0x09, 0x65, 0xe9, 0x55, 0x63, 0xb5, 0x07, 0xca, 0x9f, 0x00, 0xdf, 0x9d, 0x5c, 0xc7, 0xee, 0x57, 0xa5, 0x90, 0x15, 0x1e, 0x22, 0xa0, 0x12, + /* (2^135)P */ 0x71, 0x2d, 0xc9, 0xef, 0x27, 0xb9, 0xd8, 0x12, 0x43, 0x6b, 0xa8, 0xce, 0x3b, 0x6d, 0x6e, 0x91, 0x43, 0x23, 0xbc, 0x32, 0xb3, 0xbf, 0xe1, 0xc7, 0x39, 0xcf, 0x7c, 0x42, 0x4c, 0xb1, 0x30, 0xe2, 0xdd, 0x69, 0x06, 0xe5, 0xea, 0xf0, 0x2a, 0x16, 0x50, 0x71, 0xca, 0x92, 0xdf, 0xc1, 0xcc, 0xec, 0xe6, 0x54, 0x07, 0xf3, 0x18, 0x8d, 0xd8, 0x29, + /* (2^136)P */ 0x98, 0x51, 0x48, 0x8f, 0xfa, 0x2e, 0x5e, 0x67, 0xb0, 0xc6, 0x17, 0x12, 0xb6, 0x7d, 0xc9, 0xad, 0x81, 0x11, 0xad, 0x0c, 0x1c, 0x2d, 0x45, 0xdf, 0xac, 0x66, 0xbd, 0x08, 0x6f, 0x7c, 0xc7, 0x06, 0x6e, 0x19, 0x08, 0x39, 0x64, 0xd7, 0xe4, 0xd1, 0x11, 0x5f, 0x1c, 0xf4, 0x67, 0xc3, 0x88, 0x6a, 0xe6, 0x07, 0xa3, 0x83, 0xd7, 0xfd, 0x2a, 0xf9, + /* (2^137)P */ 0x87, 0xed, 0xeb, 0xd9, 0xdf, 0xff, 0x43, 0x8b, 0xaa, 0x20, 0x58, 0xb0, 0xb4, 0x6b, 0x14, 0xb8, 0x02, 0xc5, 0x40, 0x20, 0x22, 0xbb, 0xf7, 0xb4, 0xf3, 0x05, 0x1e, 0x4d, 0x94, 0xff, 0xe3, 0xc5, 0x22, 0x82, 0xfe, 0xaf, 0x90, 0x42, 0x98, 0x6b, 0x76, 0x8b, 0x3e, 0x89, 0x3f, 0x42, 0x2a, 0xa7, 0x26, 0x00, 0xda, 0x5c, 0xa2, 0x2b, 0xec, 0xdd, + /* (2^138)P */ 0x5c, 0x21, 0x16, 0x0d, 0x46, 0xb8, 0xd0, 0xa7, 0x88, 0xe7, 0x25, 0xcb, 0x3e, 0x50, 0x73, 0x61, 0xe7, 0xaf, 0x5a, 0x3f, 0x47, 0x8b, 0x3d, 0x97, 0x79, 0x2c, 0xe6, 0x6d, 0x95, 0x74, 0x65, 0x70, 0x36, 0xfd, 0xd1, 0x9e, 0x13, 0x18, 0x63, 0xb1, 0x2d, 0x0b, 0xb5, 0x36, 0x3e, 0xe7, 0x35, 0x42, 0x3b, 0xe6, 0x1f, 0x4d, 0x9d, 0x59, 0xa2, 0x43, + /* (2^139)P */ 0x8c, 0x0c, 0x7c, 0x24, 0x9e, 0xe0, 0xf8, 0x05, 0x1c, 0x9e, 0x1f, 0x31, 0xc0, 0x70, 0xb3, 0xfb, 0x4e, 0xf8, 0x0a, 0x57, 0xb7, 0x49, 0xb5, 0x73, 0xa1, 0x5f, 0x9b, 0x6a, 0x07, 0x6c, 0x87, 0x71, 0x87, 0xd4, 0xbe, 0x98, 0x1e, 0x98, 0xee, 0x52, 0xc1, 0x7b, 0x95, 0x0f, 0x28, 0x32, 0x36, 0x28, 0xd0, 0x3a, 0x0f, 0x7d, 0x2a, 0xa9, 0x62, 0xb9, + /* (2^140)P */ 0x97, 0xe6, 0x18, 0x77, 0xf9, 0x34, 0xac, 0xbc, 0xe0, 0x62, 0x9f, 0x42, 0xde, 0xbd, 0x2f, 0xf7, 0x1f, 0xb7, 0x14, 0x52, 0x8a, 0x79, 0xb2, 0x3f, 0xd2, 0x95, 0x71, 0x01, 0xe8, 0xaf, 0x8c, 0xa4, 0xa4, 0xa7, 0x27, 0xf3, 0x5c, 0xdf, 0x3e, 0x57, 0x7a, 0xf1, 0x76, 0x49, 0xe6, 0x42, 0x3f, 0x8f, 0x1e, 0x63, 0x4a, 0x65, 0xb5, 0x41, 0xf5, 0x02, + /* (2^141)P */ 0x72, 0x85, 0xc5, 0x0b, 0xe1, 0x47, 0x64, 0x02, 0xc5, 0x4d, 0x81, 0x69, 0xb2, 0xcf, 0x0f, 0x6c, 0xd4, 0x6d, 0xd0, 0xc7, 0xb4, 0x1c, 0xd0, 0x32, 0x59, 0x89, 0xe2, 0xe0, 0x96, 0x8b, 0x12, 0x98, 0xbf, 0x63, 0x7a, 0x4c, 0x76, 0x7e, 0x58, 0x17, 0x8f, 0x5b, 0x0a, 0x59, 0x65, 0x75, 0xbc, 0x61, 0x1f, 0xbe, 0xc5, 0x6e, 0x0a, 0x57, 0x52, 0x70, + /* (2^142)P */ 0x92, 0x1c, 0x77, 0xbb, 0x62, 0x02, 0x6c, 0x25, 0x9c, 0x66, 0x07, 0x83, 0xab, 0xcc, 0x80, 0x5d, 0xd2, 0x76, 0x0c, 0xa4, 0xc5, 0xb4, 0x8a, 0x68, 0x23, 0x31, 0x32, 0x29, 0x8a, 0x47, 0x92, 0x12, 0x80, 0xb3, 0xfa, 0x18, 0xe4, 0x8d, 0xc0, 0x4d, 0xfe, 0x97, 0x5f, 0x72, 0x41, 0xb5, 0x5c, 0x7a, 0xbd, 0xf0, 0xcf, 0x5e, 0x97, 0xaa, 0x64, 0x32, + /* (2^143)P */ 0x35, 0x3f, 0x75, 0xc1, 0x7a, 0x75, 0x7e, 0xa9, 0xc6, 0x0b, 0x4e, 0x32, 0x62, 0xec, 0xe3, 0x5c, 0xfb, 0x01, 0x43, 0xb6, 0xd4, 0x5b, 0x75, 0xd2, 0xee, 0x7f, 0x5d, 0x23, 0x2b, 0xb3, 0x54, 0x34, 0x4c, 0xd3, 0xb4, 0x32, 0x84, 0x81, 0xb5, 0x09, 0x76, 0x19, 0xda, 0x58, 0xda, 0x7c, 0xdb, 0x2e, 0xdd, 0x4c, 0x8e, 0xdd, 0x5d, 0x89, 0x10, 0x10, + /* (2^144)P */ 0x57, 0x25, 0x6a, 0x08, 0x37, 0x92, 0xa8, 0xdf, 0x24, 0xef, 0x8f, 0x33, 0x34, 0x52, 0xa4, 0x4c, 0xf0, 0x77, 0x9f, 0x69, 0x77, 0xd5, 0x8f, 0xd2, 0x9a, 0xb3, 0xb6, 0x1d, 0x2d, 0xa6, 0xf7, 0x1f, 0xda, 0xd7, 0xcb, 0x75, 0x11, 0xc3, 0x6b, 0xc0, 0x38, 0xb1, 0xd5, 0x2d, 0x96, 0x84, 0x16, 0xfa, 0x26, 0xb9, 0xcc, 0x3f, 0x16, 0x47, 0x23, 0x74, + /* (2^145)P */ 0x9b, 0x61, 0x2a, 0x1c, 0xdd, 0x39, 0xa5, 0xfa, 0x1c, 0x7d, 0x63, 0x50, 0xca, 0xe6, 0x9d, 0xfa, 0xb7, 0xc4, 0x4c, 0x6a, 0x97, 0x5f, 0x36, 0x4e, 0x47, 0xdd, 0x17, 0xf7, 0xf9, 0x19, 0xce, 0x75, 0x17, 0xad, 0xce, 0x2a, 0xf3, 0xfe, 0x27, 0x8f, 0x3e, 0x48, 0xc0, 0x60, 0x87, 0x24, 0x19, 0xae, 0x59, 0xe4, 0x5a, 0x00, 0x2a, 0xba, 0xa2, 0x1f, + /* (2^146)P */ 0x26, 0x88, 0x42, 0x60, 0x9f, 0x6e, 0x2c, 0x7c, 0x39, 0x0f, 0x47, 0x6a, 0x0e, 0x02, 0xbb, 0x4b, 0x34, 0x29, 0x55, 0x18, 0x36, 0xcf, 0x3b, 0x47, 0xf1, 0x2e, 0xfc, 0x6e, 0x94, 0xff, 0xe8, 0x6b, 0x06, 0xd2, 0xba, 0x77, 0x5e, 0x60, 0xd7, 0x19, 0xef, 0x02, 0x9d, 0x3a, 0xc2, 0xb7, 0xa9, 0xd8, 0x57, 0xee, 0x7e, 0x2b, 0xf2, 0x6d, 0x28, 0xda, + /* (2^147)P */ 0xdf, 0xd9, 0x92, 0x11, 0x98, 0x23, 0xe2, 0x45, 0x2f, 0x74, 0x70, 0xee, 0x0e, 0x55, 0x65, 0x79, 0x86, 0x38, 0x17, 0x92, 0x85, 0x87, 0x99, 0x50, 0xd9, 0x7c, 0xdb, 0xa1, 0x10, 0xec, 0x30, 0xb7, 0x40, 0xa3, 0x23, 0x9b, 0x0e, 0x27, 0x49, 0x29, 0x03, 0x94, 0xff, 0x53, 0xdc, 0xd7, 0xed, 0x49, 0xa9, 0x5a, 0x3b, 0xee, 0xd7, 0xc7, 0x65, 0xaf, + /* (2^148)P */ 0xa0, 0xbd, 0xbe, 0x03, 0xee, 0x0c, 0xbe, 0x32, 0x00, 0x7b, 0x52, 0xcb, 0x92, 0x29, 0xbf, 0xa0, 0xc6, 0xd9, 0xd2, 0xd6, 0x15, 0xe8, 0x3a, 0x75, 0x61, 0x65, 0x56, 0xae, 0xad, 0x3c, 0x2a, 0x64, 0x14, 0x3f, 0x8e, 0xc1, 0x2d, 0x0c, 0x8d, 0x20, 0xdb, 0x58, 0x4b, 0xe5, 0x40, 0x15, 0x4b, 0xdc, 0xa8, 0xbd, 0xef, 0x08, 0xa7, 0xd1, 0xf4, 0xb0, + /* (2^149)P */ 0xa9, 0x0f, 0x05, 0x94, 0x66, 0xac, 0x1f, 0x65, 0x3f, 0xe1, 0xb8, 0xe1, 0x34, 0x5e, 0x1d, 0x8f, 0xe3, 0x93, 0x03, 0x15, 0xff, 0xb6, 0x65, 0xb6, 0x6e, 0xc0, 0x2f, 0xd4, 0x2e, 0xb9, 0x2c, 0x13, 0x3c, 0x99, 0x1c, 0xb5, 0x87, 0xba, 0x79, 0xcb, 0xf0, 0x18, 0x06, 0x86, 0x04, 0x14, 0x25, 0x09, 0xcd, 0x1c, 0x14, 0xda, 0x35, 0xd0, 0x38, 0x3b, + /* (2^150)P */ 0x1b, 0x04, 0xa3, 0x27, 0xb4, 0xd3, 0x37, 0x48, 0x1e, 0x8f, 0x69, 0xd3, 0x5a, 0x2f, 0x20, 0x02, 0x36, 0xbe, 0x06, 0x7b, 0x6b, 0x6c, 0x12, 0x5b, 0x80, 0x74, 0x44, 0xe6, 0xf8, 0xf5, 0x95, 0x59, 0x29, 0xab, 0x51, 0x47, 0x83, 0x28, 0xe0, 0xad, 0xde, 0xaa, 0xd3, 0xb1, 0x1a, 0xcb, 0xa3, 0xcd, 0x8b, 0x6a, 0xb1, 0xa7, 0x0a, 0xd1, 0xf9, 0xbe, + /* (2^151)P */ 0xce, 0x2f, 0x85, 0xca, 0x74, 0x6d, 0x49, 0xb8, 0xce, 0x80, 0x44, 0xe0, 0xda, 0x5b, 0xcf, 0x2f, 0x79, 0x74, 0xfe, 0xb4, 0x2c, 0x99, 0x20, 0x6e, 0x09, 0x04, 0xfb, 0x6d, 0x57, 0x5b, 0x95, 0x0c, 0x45, 0xda, 0x4f, 0x7f, 0x63, 0xcc, 0x85, 0x5a, 0x67, 0x50, 0x68, 0x71, 0xb4, 0x67, 0xb1, 0x2e, 0xc1, 0x1c, 0xdc, 0xff, 0x2a, 0x7c, 0x10, 0x5e, + /* (2^152)P */ 0xa6, 0xde, 0xf3, 0xd4, 0x22, 0x30, 0x24, 0x9e, 0x0b, 0x30, 0x54, 0x59, 0x7e, 0xa2, 0xeb, 0x89, 0x54, 0x65, 0x3e, 0x40, 0xd1, 0xde, 0xe6, 0xee, 0x4d, 0xbf, 0x5e, 0x40, 0x1d, 0xee, 0x4f, 0x68, 0xd9, 0xa7, 0x2f, 0xb3, 0x64, 0xb3, 0xf5, 0xc8, 0xd3, 0xaa, 0x70, 0x70, 0x3d, 0xef, 0xd3, 0x95, 0x54, 0xdb, 0x3e, 0x94, 0x95, 0x92, 0x1f, 0x45, + /* (2^153)P */ 0x22, 0x80, 0x1d, 0x9d, 0x96, 0xa5, 0x78, 0x6f, 0xe0, 0x1e, 0x1b, 0x66, 0x42, 0xc8, 0xae, 0x9e, 0x46, 0x45, 0x08, 0x41, 0xdf, 0x80, 0xae, 0x6f, 0xdb, 0x15, 0x5a, 0x21, 0x31, 0x7a, 0xd0, 0xf2, 0x54, 0x15, 0x88, 0xd3, 0x0f, 0x7f, 0x14, 0x5a, 0x14, 0x97, 0xab, 0xf4, 0x58, 0x6a, 0x9f, 0xea, 0x74, 0xe5, 0x6b, 0x90, 0x59, 0x2b, 0x48, 0xd9, + /* (2^154)P */ 0x12, 0x24, 0x04, 0xf5, 0x50, 0xc2, 0x8c, 0xb0, 0x7c, 0x46, 0x98, 0xd5, 0x24, 0xad, 0xf6, 0x72, 0xdc, 0x82, 0x1a, 0x60, 0xc1, 0xeb, 0x48, 0xef, 0x7f, 0x6e, 0xe6, 0xcc, 0xdb, 0x7b, 0xae, 0xbe, 0x5e, 0x1e, 0x5c, 0xe6, 0x0a, 0x70, 0xdf, 0xa4, 0xa3, 0x85, 0x1b, 0x1b, 0x7f, 0x72, 0xb9, 0x96, 0x6f, 0xdc, 0x03, 0x76, 0x66, 0xfb, 0xa0, 0x33, + /* (2^155)P */ 0x37, 0x40, 0xbb, 0xbc, 0x68, 0x58, 0x86, 0xca, 0xbb, 0xa5, 0x24, 0x76, 0x3d, 0x48, 0xd1, 0xad, 0xb4, 0xa8, 0xcf, 0xc3, 0xb6, 0xa8, 0xba, 0x1a, 0x3a, 0xbe, 0x33, 0x75, 0x04, 0x5c, 0x13, 0x8c, 0x0d, 0x70, 0x8d, 0xa6, 0x4e, 0x2a, 0xeb, 0x17, 0x3c, 0x22, 0xdd, 0x3e, 0x96, 0x40, 0x11, 0x9e, 0x4e, 0xae, 0x3d, 0xf8, 0x91, 0xd7, 0x50, 0xc8, + /* (2^156)P */ 0xd8, 0xca, 0xde, 0x19, 0xcf, 0x00, 0xe4, 0x73, 0x18, 0x7f, 0x9b, 0x9f, 0xf4, 0x5b, 0x49, 0x49, 0x99, 0xdc, 0xa4, 0x46, 0x21, 0xb5, 0xd7, 0x3e, 0xb7, 0x47, 0x1b, 0xa9, 0x9f, 0x4c, 0x69, 0x7d, 0xec, 0x33, 0xd6, 0x1c, 0x51, 0x7f, 0x47, 0x74, 0x7a, 0x6c, 0xf3, 0xd2, 0x2e, 0xbf, 0xdf, 0x6c, 0x9e, 0x77, 0x3b, 0x34, 0xf6, 0x73, 0x80, 0xed, + /* (2^157)P */ 0x16, 0xfb, 0x16, 0xc3, 0xc2, 0x83, 0xe4, 0xf4, 0x03, 0x7f, 0x52, 0xb0, 0x67, 0x51, 0x7b, 0x24, 0x5a, 0x51, 0xd3, 0xb6, 0x4e, 0x59, 0x76, 0xcd, 0x08, 0x7b, 0x1d, 0x7a, 0x9c, 0x65, 0xae, 0xce, 0xaa, 0xd2, 0x1c, 0x85, 0x66, 0x68, 0x06, 0x15, 0xa8, 0x06, 0xe6, 0x16, 0x37, 0xf4, 0x49, 0x9e, 0x0f, 0x50, 0x37, 0xb1, 0xb2, 0x93, 0x70, 0x43, + /* (2^158)P */ 0x18, 0x3a, 0x16, 0xe5, 0x8d, 0xc8, 0x35, 0xd6, 0x7b, 0x09, 0xec, 0x61, 0x5f, 0x5c, 0x2a, 0x19, 0x96, 0x2e, 0xc3, 0xfd, 0xab, 0xe6, 0x23, 0xae, 0xab, 0xc5, 0xcb, 0xb9, 0x7b, 0x2d, 0x34, 0x51, 0xb9, 0x41, 0x9e, 0x7d, 0xca, 0xda, 0x25, 0x45, 0x14, 0xb0, 0xc7, 0x4d, 0x26, 0x2b, 0xfe, 0x43, 0xb0, 0x21, 0x5e, 0xfa, 0xdc, 0x7c, 0xf9, 0x5a, + /* (2^159)P */ 0x94, 0xad, 0x42, 0x17, 0xf5, 0xcd, 0x1c, 0x0d, 0xf6, 0x41, 0xd2, 0x55, 0xbb, 0x50, 0xf1, 0xc6, 0xbc, 0xa6, 0xc5, 0x3a, 0xfd, 0x9b, 0x75, 0x3e, 0xf6, 0x1a, 0xa7, 0xb2, 0x6e, 0x64, 0x12, 0xdc, 0x3c, 0xe5, 0xf6, 0xfc, 0x3b, 0xfa, 0x43, 0x81, 0xd4, 0xa5, 0xee, 0xf5, 0x9c, 0x47, 0x2f, 0xd0, 0x9c, 0xde, 0xa1, 0x48, 0x91, 0x9a, 0x34, 0xc1, + /* (2^160)P */ 0x37, 0x1b, 0xb3, 0x88, 0xc9, 0x98, 0x4e, 0xfb, 0x84, 0x4f, 0x2b, 0x0a, 0xb6, 0x8f, 0x35, 0x15, 0xcd, 0x61, 0x7a, 0x5f, 0x5c, 0xa0, 0xca, 0x23, 0xa0, 0x93, 0x1f, 0xcc, 0x3c, 0x39, 0x3a, 0x24, 0xa7, 0x49, 0xad, 0x8d, 0x59, 0xcc, 0x94, 0x5a, 0x16, 0xf5, 0x70, 0xe8, 0x52, 0x1e, 0xee, 0x20, 0x30, 0x17, 0x7e, 0xf0, 0x4c, 0x93, 0x06, 0x5a, + /* (2^161)P */ 0x81, 0xba, 0x3b, 0xd7, 0x3e, 0xb4, 0x32, 0x3a, 0x22, 0x39, 0x2a, 0xfc, 0x19, 0xd9, 0xd2, 0xf6, 0xc5, 0x79, 0x6c, 0x0e, 0xde, 0xda, 0x01, 0xff, 0x52, 0xfb, 0xb6, 0x95, 0x4e, 0x7a, 0x10, 0xb8, 0x06, 0x86, 0x3c, 0xcd, 0x56, 0xd6, 0x15, 0xbf, 0x6e, 0x3e, 0x4f, 0x35, 0x5e, 0xca, 0xbc, 0xa5, 0x95, 0xa2, 0xdf, 0x2d, 0x1d, 0xaf, 0x59, 0xf9, + /* (2^162)P */ 0x69, 0xe5, 0xe2, 0xfa, 0xc9, 0x7f, 0xdd, 0x09, 0xf5, 0x6b, 0x4e, 0x2e, 0xbe, 0xb4, 0xbf, 0x3e, 0xb2, 0xf2, 0x81, 0x30, 0xe1, 0x07, 0xa8, 0x0d, 0x2b, 0xd2, 0x5a, 0x55, 0xbe, 0x4b, 0x86, 0x5d, 0xb0, 0x5e, 0x7c, 0x8f, 0xc1, 0x3c, 0x81, 0x4c, 0xf7, 0x6d, 0x7d, 0xe6, 0x4f, 0x8a, 0x85, 0xc2, 0x2f, 0x28, 0xef, 0x8c, 0x69, 0xc2, 0xc2, 0x1a, + /* (2^163)P */ 0xd9, 0xe4, 0x0e, 0x1e, 0xc2, 0xf7, 0x2f, 0x9f, 0xa1, 0x40, 0xfe, 0x46, 0x16, 0xaf, 0x2e, 0xd1, 0xec, 0x15, 0x9b, 0x61, 0x92, 0xce, 0xfc, 0x10, 0x43, 0x1d, 0x00, 0xf6, 0xbe, 0x20, 0x80, 0x80, 0x6f, 0x3c, 0x16, 0x94, 0x59, 0xba, 0x03, 0x53, 0x6e, 0xb6, 0xdd, 0x25, 0x7b, 0x86, 0xbf, 0x96, 0xf4, 0x2f, 0xa1, 0x96, 0x8d, 0xf9, 0xb3, 0x29, + /* (2^164)P */ 0x3b, 0x04, 0x60, 0x6e, 0xce, 0xab, 0xd2, 0x63, 0x18, 0x53, 0x88, 0x16, 0x4a, 0x6a, 0xab, 0x72, 0x03, 0x68, 0xa5, 0xd4, 0x0d, 0xb2, 0x82, 0x81, 0x1f, 0x2b, 0x5c, 0x75, 0xe8, 0xd2, 0x1d, 0x7f, 0xe7, 0x1b, 0x35, 0x02, 0xde, 0xec, 0xbd, 0xcb, 0xc7, 0x01, 0xd3, 0x95, 0x61, 0xfe, 0xb2, 0x7a, 0x66, 0x09, 0x4c, 0x6d, 0xfd, 0x39, 0xf7, 0x52, + /* (2^165)P */ 0x42, 0xc1, 0x5f, 0xf8, 0x35, 0x52, 0xc1, 0xfe, 0xc5, 0x11, 0x80, 0x1c, 0x11, 0x46, 0x31, 0x11, 0xbe, 0xd0, 0xc4, 0xb6, 0x07, 0x13, 0x38, 0xa0, 0x8d, 0x65, 0xf0, 0x56, 0x9e, 0x16, 0xbf, 0x9d, 0xcd, 0x51, 0x34, 0xf9, 0x08, 0x48, 0x7b, 0x76, 0x0c, 0x7b, 0x30, 0x07, 0xa8, 0x76, 0xaf, 0xa3, 0x29, 0x38, 0xb0, 0x58, 0xde, 0x72, 0x4b, 0x45, + /* (2^166)P */ 0xd4, 0x16, 0xa7, 0xc0, 0xb4, 0x9f, 0xdf, 0x1a, 0x37, 0xc8, 0x35, 0xed, 0xc5, 0x85, 0x74, 0x64, 0x09, 0x22, 0xef, 0xe9, 0x0c, 0xaf, 0x12, 0x4c, 0x9e, 0xf8, 0x47, 0x56, 0xe0, 0x7f, 0x4e, 0x24, 0x6b, 0x0c, 0xe7, 0xad, 0xc6, 0x47, 0x1d, 0xa4, 0x0d, 0x86, 0x89, 0x65, 0xe8, 0x5f, 0x71, 0xc7, 0xe9, 0xcd, 0xec, 0x6c, 0x62, 0xc7, 0xe3, 0xb3, + /* (2^167)P */ 0xb5, 0xea, 0x86, 0xe3, 0x15, 0x18, 0x3f, 0x6d, 0x7b, 0x05, 0x95, 0x15, 0x53, 0x26, 0x1c, 0xeb, 0xbe, 0x7e, 0x16, 0x42, 0x4b, 0xa2, 0x3d, 0xdd, 0x0e, 0xff, 0xba, 0x67, 0xb5, 0xae, 0x7a, 0x17, 0xde, 0x23, 0xad, 0x14, 0xcc, 0xd7, 0xaf, 0x57, 0x01, 0xe0, 0xdd, 0x48, 0xdd, 0xd7, 0xe3, 0xdf, 0xe9, 0x2d, 0xda, 0x67, 0xa4, 0x9f, 0x29, 0x04, + /* (2^168)P */ 0x16, 0x53, 0xe6, 0x9c, 0x4e, 0xe5, 0x1e, 0x70, 0x81, 0x25, 0x02, 0x9b, 0x47, 0x6d, 0xd2, 0x08, 0x73, 0xbe, 0x0a, 0xf1, 0x7b, 0xeb, 0x24, 0xeb, 0x38, 0x23, 0x5c, 0xb6, 0x3e, 0xce, 0x1e, 0xe3, 0xbc, 0x82, 0x35, 0x1f, 0xaf, 0x3a, 0x3a, 0xe5, 0x4e, 0xc1, 0xca, 0xbf, 0x47, 0xb4, 0xbb, 0xbc, 0x5f, 0xea, 0xc6, 0xca, 0xf3, 0xa0, 0xa2, 0x73, + /* (2^169)P */ 0xef, 0xa4, 0x7a, 0x4e, 0xe4, 0xc7, 0xb6, 0x43, 0x2e, 0xa5, 0xe4, 0xa5, 0xba, 0x1e, 0xa5, 0xfe, 0x9e, 0xce, 0xa9, 0x80, 0x04, 0xcb, 0x4f, 0xd8, 0x74, 0x05, 0x48, 0xfa, 0x99, 0x11, 0x5d, 0x97, 0x3b, 0x07, 0x0d, 0xdd, 0xe6, 0xb1, 0x74, 0x87, 0x1a, 0xd3, 0x26, 0xb7, 0x8f, 0xe1, 0x63, 0x3d, 0xec, 0x53, 0x93, 0xb0, 0x81, 0x78, 0x34, 0xa4, + /* (2^170)P */ 0xe1, 0xe7, 0xd4, 0x58, 0x9d, 0x0e, 0x8b, 0x65, 0x66, 0x37, 0x16, 0x48, 0x6f, 0xaa, 0x42, 0x37, 0x77, 0xad, 0xb1, 0x56, 0x48, 0xdf, 0x65, 0x36, 0x30, 0xb8, 0x00, 0x12, 0xd8, 0x32, 0x28, 0x7f, 0xc1, 0x71, 0xeb, 0x93, 0x0f, 0x48, 0x04, 0xe1, 0x5a, 0x6a, 0x96, 0xc1, 0xca, 0x89, 0x6d, 0x1b, 0x82, 0x4c, 0x18, 0x6d, 0x55, 0x4b, 0xea, 0xfd, + /* (2^171)P */ 0x62, 0x1a, 0x53, 0xb4, 0xb1, 0xbe, 0x6f, 0x15, 0x18, 0x88, 0xd4, 0x66, 0x61, 0xc7, 0x12, 0x69, 0x02, 0xbd, 0x03, 0x23, 0x2b, 0xef, 0xf9, 0x54, 0xa4, 0x85, 0xa8, 0xe3, 0xb7, 0xbd, 0xa9, 0xa3, 0xf3, 0x2a, 0xdd, 0xf1, 0xd4, 0x03, 0x0f, 0xa9, 0xa1, 0xd8, 0xa3, 0xcd, 0xb2, 0x71, 0x90, 0x4b, 0x35, 0x62, 0xf2, 0x2f, 0xce, 0x67, 0x1f, 0xaa, + /* (2^172)P */ 0x9e, 0x1e, 0xcd, 0x43, 0x7e, 0x87, 0x37, 0x94, 0x3a, 0x97, 0x4c, 0x7e, 0xee, 0xc9, 0x37, 0x85, 0xf1, 0xd9, 0x4f, 0xbf, 0xf9, 0x6f, 0x39, 0x9a, 0x39, 0x87, 0x2e, 0x25, 0x84, 0x42, 0xc3, 0x80, 0xcb, 0x07, 0x22, 0xae, 0x30, 0xd5, 0x50, 0xa1, 0x23, 0xcc, 0x31, 0x81, 0x9d, 0xf1, 0x30, 0xd9, 0x2b, 0x73, 0x41, 0x16, 0x50, 0xab, 0x2d, 0xa2, + /* (2^173)P */ 0xa4, 0x69, 0x4f, 0xa1, 0x4e, 0xb9, 0xbf, 0x14, 0xe8, 0x2b, 0x04, 0x93, 0xb7, 0x6e, 0x9f, 0x7d, 0x73, 0x0a, 0xc5, 0x14, 0xb8, 0xde, 0x8c, 0xc1, 0xfe, 0xc0, 0xa7, 0xa4, 0xcc, 0x42, 0x42, 0x81, 0x15, 0x65, 0x8a, 0x80, 0xb9, 0xde, 0x1f, 0x60, 0x33, 0x0e, 0xcb, 0xfc, 0xe0, 0xdb, 0x83, 0xa1, 0xe5, 0xd0, 0x16, 0x86, 0x2c, 0xe2, 0x87, 0xed, + /* (2^174)P */ 0x7a, 0xc0, 0xeb, 0x6b, 0xf6, 0x0d, 0x4c, 0x6d, 0x1e, 0xdb, 0xab, 0xe7, 0x19, 0x45, 0xc6, 0xe3, 0xb2, 0x06, 0xbb, 0xbc, 0x70, 0x99, 0x83, 0x33, 0xeb, 0x28, 0xc8, 0x77, 0xf6, 0x4d, 0x01, 0xb7, 0x59, 0xa0, 0xd2, 0xb3, 0x2a, 0x72, 0x30, 0xe7, 0x11, 0x39, 0xb6, 0x41, 0x29, 0x65, 0x5a, 0x14, 0xb9, 0x86, 0x08, 0xe0, 0x7d, 0x32, 0x8c, 0xf0, + /* (2^175)P */ 0x5c, 0x11, 0x30, 0x9e, 0x05, 0x27, 0xf5, 0x45, 0x0f, 0xb3, 0xc9, 0x75, 0xc3, 0xd7, 0xe1, 0x82, 0x3b, 0x8e, 0x87, 0x23, 0x00, 0x15, 0x19, 0x07, 0xd9, 0x21, 0x53, 0xc7, 0xf1, 0xa3, 0xbf, 0x70, 0x64, 0x15, 0x18, 0xca, 0x23, 0x9e, 0xd3, 0x08, 0xc3, 0x2a, 0x8b, 0xe5, 0x83, 0x04, 0x89, 0x14, 0xfd, 0x28, 0x25, 0x1c, 0xe3, 0x26, 0xa7, 0x22, + /* (2^176)P */ 0xdc, 0xd4, 0x75, 0x60, 0x99, 0x94, 0xea, 0x09, 0x8e, 0x8a, 0x3c, 0x1b, 0xf9, 0xbd, 0x33, 0x0d, 0x51, 0x3d, 0x12, 0x6f, 0x4e, 0x72, 0xe0, 0x17, 0x20, 0xe9, 0x75, 0xe6, 0x3a, 0xb2, 0x13, 0x83, 0x4e, 0x7a, 0x08, 0x9e, 0xd1, 0x04, 0x5f, 0x6b, 0x42, 0x0b, 0x76, 0x2a, 0x2d, 0x77, 0x53, 0x6c, 0x65, 0x6d, 0x8e, 0x25, 0x3c, 0xb6, 0x8b, 0x69, + /* (2^177)P */ 0xb9, 0x49, 0x28, 0xd0, 0xdc, 0x6c, 0x8f, 0x4c, 0xc9, 0x14, 0x8a, 0x38, 0xa3, 0xcb, 0xc4, 0x9d, 0x53, 0xcf, 0xe9, 0xe3, 0xcf, 0xe0, 0xb1, 0xf2, 0x1b, 0x4c, 0x7f, 0x83, 0x2a, 0x7a, 0xe9, 0x8b, 0x3b, 0x86, 0x61, 0x30, 0xe9, 0x99, 0xbd, 0xba, 0x19, 0x6e, 0x65, 0x2a, 0x12, 0x3e, 0x9c, 0xa8, 0xaf, 0xc3, 0xcf, 0xf8, 0x1f, 0x77, 0x86, 0xea, + /* (2^178)P */ 0x30, 0xde, 0xe7, 0xff, 0x54, 0xf7, 0xa2, 0x59, 0xf6, 0x0b, 0xfb, 0x7a, 0xf2, 0x39, 0xf0, 0xdb, 0x39, 0xbc, 0xf0, 0xfa, 0x60, 0xeb, 0x6b, 0x4f, 0x47, 0x17, 0xc8, 0x00, 0x65, 0x6d, 0x25, 0x1c, 0xd0, 0x48, 0x56, 0x53, 0x45, 0x11, 0x30, 0x02, 0x49, 0x20, 0x27, 0xac, 0xf2, 0x4c, 0xac, 0x64, 0x3d, 0x52, 0xb8, 0x89, 0xe0, 0x93, 0x16, 0x0f, + /* (2^179)P */ 0x84, 0x09, 0xba, 0x40, 0xb2, 0x2f, 0xa3, 0xa8, 0xc2, 0xba, 0x46, 0x33, 0x05, 0x9d, 0x62, 0xad, 0xa1, 0x3c, 0x33, 0xef, 0x0d, 0xeb, 0xf0, 0x77, 0x11, 0x5a, 0xb0, 0x21, 0x9c, 0xdf, 0x55, 0x24, 0x25, 0x35, 0x51, 0x61, 0x92, 0xf0, 0xb1, 0xce, 0xf5, 0xd4, 0x7b, 0x6c, 0x21, 0x9d, 0x56, 0x52, 0xf8, 0xa1, 0x4c, 0xe9, 0x27, 0x55, 0xac, 0x91, + /* (2^180)P */ 0x03, 0x3e, 0x30, 0xd2, 0x0a, 0xfa, 0x7d, 0x82, 0x3d, 0x1f, 0x8b, 0xcb, 0xb6, 0x04, 0x5c, 0xcc, 0x8b, 0xda, 0xe2, 0x68, 0x74, 0x08, 0x8c, 0x44, 0x83, 0x57, 0x6d, 0x6f, 0x80, 0xb0, 0x7e, 0xa9, 0x82, 0x91, 0x7b, 0x4c, 0x37, 0x97, 0xd1, 0x63, 0xd1, 0xbd, 0x45, 0xe6, 0x8a, 0x86, 0xd6, 0x89, 0x54, 0xfd, 0xd2, 0xb1, 0xd7, 0x54, 0xad, 0xaf, + /* (2^181)P */ 0x8b, 0x33, 0x62, 0x49, 0x9f, 0x63, 0xf9, 0x87, 0x42, 0x58, 0xbf, 0xb3, 0xe6, 0x68, 0x02, 0x60, 0x5c, 0x76, 0x62, 0xf7, 0x61, 0xd7, 0x36, 0x31, 0xf7, 0x9c, 0xb5, 0xe5, 0x13, 0x6c, 0xea, 0x78, 0xae, 0xcf, 0xde, 0xbf, 0xb6, 0xeb, 0x4f, 0xc8, 0x2a, 0xb4, 0x9a, 0x9f, 0xf3, 0xd1, 0x6a, 0xec, 0x0c, 0xbd, 0x85, 0x98, 0x40, 0x06, 0x1c, 0x2a, + /* (2^182)P */ 0x74, 0x3b, 0xe7, 0x81, 0xd5, 0xae, 0x54, 0x56, 0x03, 0xe8, 0x97, 0x16, 0x76, 0xcf, 0x24, 0x96, 0x96, 0x5b, 0xcc, 0x09, 0xab, 0x23, 0x6f, 0x54, 0xae, 0x8f, 0xe4, 0x12, 0xcb, 0xfd, 0xbc, 0xac, 0x93, 0x45, 0x3d, 0x68, 0x08, 0x22, 0x59, 0xc6, 0xf0, 0x47, 0x19, 0x8c, 0x79, 0x93, 0x1e, 0x0e, 0x30, 0xb0, 0x94, 0xfb, 0x17, 0x1d, 0x5a, 0x12, + /* (2^183)P */ 0x85, 0xff, 0x40, 0x18, 0x85, 0xff, 0x44, 0x37, 0x69, 0x23, 0x4d, 0x34, 0xe1, 0xeb, 0xa3, 0x1b, 0x55, 0x40, 0xc1, 0x64, 0xf4, 0xd4, 0x13, 0x0a, 0x9f, 0xb9, 0x19, 0xfc, 0x88, 0x7d, 0xc0, 0x72, 0xcf, 0x69, 0x2f, 0xd2, 0x0c, 0x82, 0x0f, 0xda, 0x08, 0xba, 0x0f, 0xaa, 0x3b, 0xe9, 0xe5, 0x83, 0x7a, 0x06, 0xe8, 0x1b, 0x38, 0x43, 0xc3, 0x54, + /* (2^184)P */ 0x14, 0xaa, 0xb3, 0x6e, 0xe6, 0x28, 0xee, 0xc5, 0x22, 0x6c, 0x7c, 0xf9, 0xa8, 0x71, 0xcc, 0xfe, 0x68, 0x7e, 0xd3, 0xb8, 0x37, 0x96, 0xca, 0x0b, 0xd9, 0xb6, 0x06, 0xa9, 0xf6, 0x71, 0xe8, 0x31, 0xf7, 0xd8, 0xf1, 0x5d, 0xab, 0xb9, 0xf0, 0x5c, 0x98, 0xcf, 0x22, 0xa2, 0x2a, 0xf6, 0xd0, 0x59, 0xf0, 0x9d, 0xd9, 0x6a, 0x4f, 0x59, 0x57, 0xad, + /* (2^185)P */ 0xd7, 0x2b, 0x3d, 0x38, 0x4c, 0x2e, 0x23, 0x4d, 0x49, 0xa2, 0x62, 0x62, 0xf9, 0x0f, 0xde, 0x08, 0xf3, 0x86, 0x71, 0xb6, 0xc7, 0xf9, 0x85, 0x9c, 0x33, 0xa1, 0xcf, 0x16, 0xaa, 0x60, 0xb9, 0xb7, 0xea, 0xed, 0x01, 0x1c, 0x59, 0xdb, 0x3f, 0x3f, 0x97, 0x2e, 0xf0, 0x09, 0x9f, 0x10, 0x85, 0x5f, 0x53, 0x39, 0xf3, 0x13, 0x40, 0x56, 0x95, 0xf9, + /* (2^186)P */ 0xb4, 0xe3, 0xda, 0xc6, 0x1f, 0x78, 0x8e, 0xac, 0xd4, 0x20, 0x1d, 0xa0, 0xbf, 0x4c, 0x09, 0x16, 0xa7, 0x30, 0xb5, 0x8d, 0x9e, 0xa1, 0x5f, 0x6d, 0x52, 0xf4, 0x71, 0xb6, 0x32, 0x2d, 0x21, 0x51, 0xc6, 0xfc, 0x2f, 0x08, 0xf4, 0x13, 0x6c, 0x55, 0xba, 0x72, 0x81, 0x24, 0x49, 0x0e, 0x4f, 0x06, 0x36, 0x39, 0x6a, 0xc5, 0x81, 0xfc, 0xeb, 0xb2, + /* (2^187)P */ 0x7d, 0x8d, 0xc8, 0x6c, 0xea, 0xb4, 0xb9, 0xe8, 0x40, 0xc9, 0x69, 0xc9, 0x30, 0x05, 0xfd, 0x34, 0x46, 0xfd, 0x94, 0x05, 0x16, 0xf5, 0x4b, 0x13, 0x3d, 0x24, 0x1a, 0xd6, 0x64, 0x2b, 0x9c, 0xe2, 0xa5, 0xd9, 0x98, 0xe0, 0xe8, 0xf4, 0xbc, 0x2c, 0xbd, 0xa2, 0x56, 0xe3, 0x9e, 0x14, 0xdb, 0xbf, 0x05, 0xbf, 0x9a, 0x13, 0x5d, 0xf7, 0x91, 0xa3, + /* (2^188)P */ 0x8b, 0xcb, 0x27, 0xf3, 0x15, 0x26, 0x05, 0x40, 0x0f, 0xa6, 0x15, 0x13, 0x71, 0x95, 0xa2, 0xc6, 0x38, 0x04, 0x67, 0xf8, 0x9a, 0x83, 0x06, 0xaa, 0x25, 0x36, 0x72, 0x01, 0x6f, 0x74, 0x5f, 0xe5, 0x6e, 0x44, 0x99, 0xce, 0x13, 0xbc, 0x82, 0xc2, 0x0d, 0xa4, 0x98, 0x50, 0x38, 0xf3, 0xa2, 0xc5, 0xe5, 0x24, 0x1f, 0x6f, 0x56, 0x3e, 0x07, 0xb2, + /* (2^189)P */ 0xbd, 0x0f, 0x32, 0x60, 0x07, 0xb1, 0xd7, 0x0b, 0x11, 0x07, 0x57, 0x02, 0x89, 0xe8, 0x8b, 0xe8, 0x5a, 0x1f, 0xee, 0x54, 0x6b, 0xff, 0xb3, 0x04, 0x07, 0x57, 0x13, 0x0b, 0x94, 0xa8, 0x4d, 0x81, 0xe2, 0x17, 0x16, 0x45, 0xd4, 0x4b, 0xf7, 0x7e, 0x64, 0x66, 0x20, 0xe8, 0x0b, 0x26, 0xfd, 0xa9, 0x8a, 0x47, 0x52, 0x89, 0x14, 0xd0, 0xd1, 0xa1, + /* (2^190)P */ 0xdc, 0x03, 0xe6, 0x20, 0x44, 0x47, 0x8f, 0x04, 0x16, 0x24, 0x22, 0xc1, 0x55, 0x5c, 0xbe, 0x43, 0xc3, 0x92, 0xc5, 0x54, 0x3d, 0x5d, 0xd1, 0x05, 0x9c, 0xc6, 0x7c, 0xbf, 0x23, 0x84, 0x1a, 0xba, 0x4f, 0x1f, 0xfc, 0xa1, 0xae, 0x1a, 0x64, 0x02, 0x51, 0xf1, 0xcb, 0x7a, 0x20, 0xce, 0xb2, 0x34, 0x3c, 0xca, 0xe0, 0xe4, 0xba, 0x22, 0xd4, 0x7b, + /* (2^191)P */ 0xca, 0xfd, 0xca, 0xd7, 0xde, 0x61, 0xae, 0xf0, 0x79, 0x0c, 0x20, 0xab, 0xbc, 0x6f, 0x4d, 0x61, 0xf0, 0xc7, 0x9c, 0x8d, 0x4b, 0x52, 0xf3, 0xb9, 0x48, 0x63, 0x0b, 0xb6, 0xd2, 0x25, 0x9a, 0x96, 0x72, 0xc1, 0x6b, 0x0c, 0xb5, 0xfb, 0x71, 0xaa, 0xad, 0x47, 0x5b, 0xe7, 0xc0, 0x0a, 0x55, 0xb2, 0xd4, 0x16, 0x2f, 0xb1, 0x01, 0xfd, 0xce, 0x27, + /* (2^192)P */ 0x64, 0x11, 0x4b, 0xab, 0x57, 0x09, 0xc6, 0x49, 0x4a, 0x37, 0xc3, 0x36, 0xc4, 0x7b, 0x81, 0x1f, 0x42, 0xed, 0xbb, 0xe0, 0xa0, 0x8d, 0x51, 0xe6, 0xca, 0x8b, 0xb9, 0xcd, 0x99, 0x2d, 0x91, 0x53, 0xa9, 0x47, 0xcb, 0x32, 0xc7, 0xa4, 0x92, 0xec, 0x46, 0x74, 0x44, 0x6d, 0x71, 0x9f, 0x6d, 0x0c, 0x69, 0xa4, 0xf8, 0xbe, 0x9f, 0x7f, 0xa0, 0xd7, + /* (2^193)P */ 0x5f, 0x33, 0xb6, 0x91, 0xc8, 0xa5, 0x3f, 0x5d, 0x7f, 0x38, 0x6e, 0x74, 0x20, 0x4a, 0xd6, 0x2b, 0x98, 0x2a, 0x41, 0x4b, 0x83, 0x64, 0x0b, 0x92, 0x7a, 0x06, 0x1e, 0xc6, 0x2c, 0xf6, 0xe4, 0x91, 0xe5, 0xb1, 0x2e, 0x6e, 0x4e, 0xa8, 0xc8, 0x14, 0x32, 0x57, 0x44, 0x1c, 0xe4, 0xb9, 0x7f, 0x54, 0x51, 0x08, 0x81, 0xaa, 0x4e, 0xce, 0xa1, 0x5d, + /* (2^194)P */ 0x5c, 0xd5, 0x9b, 0x5e, 0x7c, 0xb5, 0xb1, 0x52, 0x73, 0x00, 0x41, 0x56, 0x79, 0x08, 0x7e, 0x07, 0x28, 0x06, 0xa6, 0xfb, 0x7f, 0x69, 0xbd, 0x7a, 0x3c, 0xae, 0x9f, 0x39, 0xbb, 0x54, 0xa2, 0x79, 0xb9, 0x0e, 0x7f, 0xbb, 0xe0, 0xe6, 0xb7, 0x27, 0x64, 0x38, 0x45, 0xdb, 0x84, 0xe4, 0x61, 0x72, 0x3f, 0xe2, 0x24, 0xfe, 0x7a, 0x31, 0x9a, 0xc9, + /* (2^195)P */ 0xa1, 0xd2, 0xa4, 0xee, 0x24, 0x96, 0xe5, 0x5b, 0x79, 0x78, 0x3c, 0x7b, 0x82, 0x3b, 0x8b, 0x58, 0x0b, 0xa3, 0x63, 0x2d, 0xbc, 0x75, 0x46, 0xe8, 0x83, 0x1a, 0xc0, 0x2a, 0x92, 0x61, 0xa8, 0x75, 0x37, 0x3c, 0xbf, 0x0f, 0xef, 0x8f, 0x6c, 0x97, 0x75, 0x10, 0x05, 0x7a, 0xde, 0x23, 0xe8, 0x2a, 0x35, 0xeb, 0x41, 0x64, 0x7d, 0xcf, 0xe0, 0x52, + /* (2^196)P */ 0x4a, 0xd0, 0x49, 0x93, 0xae, 0xf3, 0x24, 0x8c, 0xe1, 0x09, 0x98, 0x45, 0xd8, 0xb9, 0xfe, 0x8e, 0x8c, 0xa8, 0x2c, 0xc9, 0x9f, 0xce, 0x01, 0xdc, 0x38, 0x11, 0xab, 0x85, 0xb9, 0xe8, 0x00, 0x51, 0xfd, 0x82, 0xe1, 0x9b, 0x4e, 0xfc, 0xb5, 0x2a, 0x0f, 0x8b, 0xda, 0x4e, 0x02, 0xca, 0xcc, 0xe3, 0x91, 0xc4, 0xe0, 0xcf, 0x7b, 0xd6, 0xe6, 0x6a, + /* (2^197)P */ 0xfe, 0x11, 0xd7, 0xaa, 0xe3, 0x0c, 0x52, 0x2e, 0x04, 0xe0, 0xe0, 0x61, 0xc8, 0x05, 0xd7, 0x31, 0x4c, 0xc3, 0x9b, 0x2d, 0xce, 0x59, 0xbe, 0x12, 0xb7, 0x30, 0x21, 0xfc, 0x81, 0xb8, 0x5e, 0x57, 0x73, 0xd0, 0xad, 0x8e, 0x9e, 0xe4, 0xeb, 0xcd, 0xcf, 0xd2, 0x0f, 0x01, 0x35, 0x16, 0xed, 0x7a, 0x43, 0x8e, 0x42, 0xdc, 0xea, 0x4c, 0xa8, 0x7c, + /* (2^198)P */ 0x37, 0x26, 0xcc, 0x76, 0x0b, 0xe5, 0x76, 0xdd, 0x3e, 0x19, 0x3c, 0xc4, 0x6c, 0x7f, 0xd0, 0x03, 0xc1, 0xb8, 0x59, 0x82, 0xca, 0x36, 0xc1, 0xe4, 0xc8, 0xb2, 0x83, 0x69, 0x9c, 0xc5, 0x9d, 0x12, 0x82, 0x1c, 0xea, 0xb2, 0x84, 0x9f, 0xf3, 0x52, 0x6b, 0xbb, 0xd8, 0x81, 0x56, 0x83, 0x04, 0x66, 0x05, 0x22, 0x49, 0x37, 0x93, 0xb1, 0xfd, 0xd5, + /* (2^199)P */ 0xaf, 0x96, 0xbf, 0x03, 0xbe, 0xe6, 0x5d, 0x78, 0x19, 0xba, 0x37, 0x46, 0x0a, 0x2b, 0x52, 0x7c, 0xd8, 0x51, 0x9e, 0x3d, 0x29, 0x42, 0xdb, 0x0e, 0x31, 0x20, 0x94, 0xf8, 0x43, 0x9a, 0x2d, 0x22, 0xd3, 0xe3, 0xa1, 0x79, 0x68, 0xfb, 0x2d, 0x7e, 0xd6, 0x79, 0xda, 0x0b, 0xc6, 0x5b, 0x76, 0x68, 0xf0, 0xfe, 0x72, 0x59, 0xbb, 0xa1, 0x9c, 0x74, + /* (2^200)P */ 0x0a, 0xd9, 0xec, 0xc5, 0xbd, 0xf0, 0xda, 0xcf, 0x82, 0xab, 0x46, 0xc5, 0x32, 0x13, 0xdc, 0x5b, 0xac, 0xc3, 0x53, 0x9a, 0x7f, 0xef, 0xa5, 0x40, 0x5a, 0x1f, 0xc1, 0x12, 0x91, 0x54, 0x83, 0x6a, 0xb0, 0x9a, 0x85, 0x4d, 0xbf, 0x36, 0x8e, 0xd3, 0xa2, 0x2b, 0xe5, 0xd6, 0xc6, 0xe1, 0x58, 0x5b, 0x82, 0x9b, 0xc8, 0xf2, 0x03, 0xba, 0xf5, 0x92, + /* (2^201)P */ 0xfb, 0x21, 0x7e, 0xde, 0xe7, 0xb4, 0xc0, 0x56, 0x86, 0x3a, 0x5b, 0x78, 0xf8, 0xf0, 0xf4, 0xe7, 0x5c, 0x00, 0xd2, 0xd7, 0xd6, 0xf8, 0x75, 0x5e, 0x0f, 0x3e, 0xd1, 0x4b, 0x77, 0xd8, 0xad, 0xb0, 0xc9, 0x8b, 0x59, 0x7d, 0x30, 0x76, 0x64, 0x7a, 0x76, 0xd9, 0x51, 0x69, 0xfc, 0xbd, 0x8e, 0xb5, 0x55, 0xe0, 0xd2, 0x07, 0x15, 0xa9, 0xf7, 0xa4, + /* (2^202)P */ 0xaa, 0x2d, 0x2f, 0x2b, 0x3c, 0x15, 0xdd, 0xcd, 0xe9, 0x28, 0x82, 0x4f, 0xa2, 0xaa, 0x31, 0x48, 0xcc, 0xfa, 0x07, 0x73, 0x8a, 0x34, 0x74, 0x0d, 0xab, 0x1a, 0xca, 0xd2, 0xbf, 0x3a, 0xdb, 0x1a, 0x5f, 0x50, 0x62, 0xf4, 0x6b, 0x83, 0x38, 0x43, 0x96, 0xee, 0x6b, 0x39, 0x1e, 0xf0, 0x17, 0x80, 0x1e, 0x9b, 0xed, 0x2b, 0x2f, 0xcc, 0x65, 0xf7, + /* (2^203)P */ 0x03, 0xb3, 0x23, 0x9c, 0x0d, 0xd1, 0xeb, 0x7e, 0x34, 0x17, 0x8a, 0x4c, 0xde, 0x54, 0x39, 0xc4, 0x11, 0x82, 0xd3, 0xa4, 0x00, 0x32, 0x95, 0x9c, 0xa6, 0x64, 0x76, 0x6e, 0xd6, 0x53, 0x27, 0xb4, 0x6a, 0x14, 0x8c, 0x54, 0xf6, 0x58, 0x9e, 0x22, 0x4a, 0x55, 0x18, 0x77, 0xd0, 0x08, 0x6b, 0x19, 0x8a, 0xb5, 0xe7, 0x19, 0xb8, 0x60, 0x92, 0xb1, + /* (2^204)P */ 0x66, 0xec, 0xf3, 0x12, 0xde, 0x67, 0x7f, 0xd4, 0x5b, 0xf6, 0x70, 0x64, 0x0a, 0xb5, 0xc2, 0xf9, 0xb3, 0x64, 0xab, 0x56, 0x46, 0xc7, 0x93, 0xc2, 0x8b, 0x2d, 0xd0, 0xd6, 0x39, 0x3b, 0x1f, 0xcd, 0xb3, 0xac, 0xcc, 0x2c, 0x27, 0x6a, 0xbc, 0xb3, 0x4b, 0xa8, 0x3c, 0x69, 0x20, 0xe2, 0x18, 0x35, 0x17, 0xe1, 0x8a, 0xd3, 0x11, 0x74, 0xaa, 0x4d, + /* (2^205)P */ 0x96, 0xc4, 0x16, 0x7e, 0xfd, 0xf5, 0xd0, 0x7d, 0x1f, 0x32, 0x1b, 0xdb, 0xa6, 0xfd, 0x51, 0x75, 0x4d, 0xd7, 0x00, 0xe5, 0x7f, 0x58, 0x5b, 0xeb, 0x4b, 0x6a, 0x78, 0xfe, 0xe5, 0xd6, 0x8f, 0x99, 0x17, 0xca, 0x96, 0x45, 0xf7, 0x52, 0xdf, 0x84, 0x06, 0x77, 0xb9, 0x05, 0x63, 0x5d, 0xe9, 0x91, 0xb1, 0x4b, 0x82, 0x5a, 0xdb, 0xd7, 0xca, 0x69, + /* (2^206)P */ 0x02, 0xd3, 0x38, 0x38, 0x87, 0xea, 0xbd, 0x9f, 0x11, 0xca, 0xf3, 0x21, 0xf1, 0x9b, 0x35, 0x97, 0x98, 0xff, 0x8e, 0x6d, 0x3d, 0xd6, 0xb2, 0xfa, 0x68, 0xcb, 0x7e, 0x62, 0x85, 0xbb, 0xc7, 0x5d, 0xee, 0x32, 0x30, 0x2e, 0x71, 0x96, 0x63, 0x43, 0x98, 0xc4, 0xa7, 0xde, 0x60, 0xb2, 0xd9, 0x43, 0x4a, 0xfa, 0x97, 0x2d, 0x5f, 0x21, 0xd4, 0xfe, + /* (2^207)P */ 0x3b, 0x20, 0x29, 0x07, 0x07, 0xb5, 0x78, 0xc3, 0xc7, 0xab, 0x56, 0xba, 0x40, 0xde, 0x1d, 0xcf, 0xc3, 0x00, 0x56, 0x21, 0x0c, 0xc8, 0x42, 0xd9, 0x0e, 0xcd, 0x02, 0x7c, 0x07, 0xb9, 0x11, 0xd7, 0x96, 0xaf, 0xff, 0xad, 0xc5, 0xba, 0x30, 0x6d, 0x82, 0x3a, 0xbf, 0xef, 0x7b, 0xf7, 0x0a, 0x74, 0xbd, 0x31, 0x0c, 0xe4, 0xec, 0x1a, 0xe5, 0xc5, + /* (2^208)P */ 0xcc, 0xf2, 0x28, 0x16, 0x12, 0xbf, 0xef, 0x85, 0xbc, 0xf7, 0xcb, 0x9f, 0xdb, 0xa8, 0xb2, 0x49, 0x53, 0x48, 0xa8, 0x24, 0xa8, 0x68, 0x8d, 0xbb, 0x21, 0x0a, 0x5a, 0xbd, 0xb2, 0x91, 0x61, 0x47, 0xc4, 0x43, 0x08, 0xa6, 0x19, 0xef, 0x8e, 0x88, 0x39, 0xc6, 0x33, 0x30, 0xf3, 0x0e, 0xc5, 0x92, 0x66, 0xd6, 0xfe, 0xc5, 0x12, 0xd9, 0x4c, 0x2d, + /* (2^209)P */ 0x30, 0x34, 0x07, 0xbf, 0x9c, 0x5a, 0x4e, 0x65, 0xf1, 0x39, 0x35, 0x38, 0xae, 0x7b, 0x55, 0xac, 0x6a, 0x92, 0x24, 0x7e, 0x50, 0xd3, 0xba, 0x78, 0x51, 0xfe, 0x4d, 0x32, 0x05, 0x11, 0xf5, 0x52, 0xf1, 0x31, 0x45, 0x39, 0x98, 0x7b, 0x28, 0x56, 0xc3, 0x5d, 0x4f, 0x07, 0x6f, 0x84, 0xb8, 0x1a, 0x58, 0x0b, 0xc4, 0x7c, 0xc4, 0x8d, 0x32, 0x8e, + /* (2^210)P */ 0x7e, 0xaf, 0x98, 0xce, 0xc5, 0x2b, 0x9d, 0xf6, 0xfa, 0x2c, 0xb6, 0x2a, 0x5a, 0x1d, 0xc0, 0x24, 0x8d, 0xa4, 0xce, 0xb1, 0x12, 0x01, 0xf9, 0x79, 0xc6, 0x79, 0x38, 0x0c, 0xd4, 0x07, 0xc9, 0xf7, 0x37, 0xa1, 0x0b, 0xfe, 0x72, 0xec, 0x5d, 0xd6, 0xb0, 0x1c, 0x70, 0xbe, 0x70, 0x01, 0x13, 0xe0, 0x86, 0x95, 0xc7, 0x2e, 0x12, 0x3b, 0xe6, 0xa6, + /* (2^211)P */ 0x24, 0x82, 0x67, 0xe0, 0x14, 0x7b, 0x56, 0x08, 0x38, 0x44, 0xdb, 0xa0, 0x3a, 0x05, 0x47, 0xb2, 0xc0, 0xac, 0xd1, 0xcc, 0x3f, 0x82, 0xb8, 0x8a, 0x88, 0xbc, 0xf5, 0x33, 0xa1, 0x35, 0x0f, 0xf6, 0xe2, 0xef, 0x6c, 0xf7, 0x37, 0x9e, 0xe8, 0x10, 0xca, 0xb0, 0x8e, 0x80, 0x86, 0x00, 0x23, 0xd0, 0x4a, 0x76, 0x9f, 0xf7, 0x2c, 0x52, 0x15, 0x0e, + /* (2^212)P */ 0x5e, 0x49, 0xe1, 0x2c, 0x9a, 0x01, 0x76, 0xa6, 0xb3, 0x07, 0x5b, 0xa4, 0x07, 0xef, 0x1d, 0xc3, 0x6a, 0xbb, 0x64, 0xbe, 0x71, 0x15, 0x6e, 0x32, 0x31, 0x46, 0x9a, 0x9e, 0x8f, 0x45, 0x73, 0xce, 0x0b, 0x94, 0x1a, 0x52, 0x07, 0xf4, 0x50, 0x30, 0x49, 0x53, 0x50, 0xfb, 0x71, 0x1f, 0x5a, 0x03, 0xa9, 0x76, 0xf2, 0x8f, 0x42, 0xff, 0xed, 0xed, + /* (2^213)P */ 0xed, 0x08, 0xdb, 0x91, 0x1c, 0xee, 0xa2, 0xb4, 0x47, 0xa2, 0xfa, 0xcb, 0x03, 0xd1, 0xff, 0x8c, 0xad, 0x64, 0x50, 0x61, 0xcd, 0xfc, 0x88, 0xa0, 0x31, 0x95, 0x30, 0xb9, 0x58, 0xdd, 0xd7, 0x43, 0xe4, 0x46, 0xc2, 0x16, 0xd9, 0x72, 0x4a, 0x56, 0x51, 0x70, 0x85, 0xf1, 0xa1, 0x80, 0x40, 0xd5, 0xba, 0x67, 0x81, 0xda, 0xcd, 0x03, 0xea, 0x51, + /* (2^214)P */ 0x42, 0x50, 0xf0, 0xef, 0x37, 0x61, 0x72, 0x85, 0xe1, 0xf1, 0xff, 0x6f, 0x3d, 0xe8, 0x7b, 0x21, 0x5c, 0xe5, 0x50, 0x03, 0xde, 0x00, 0xc1, 0xf7, 0x3a, 0x55, 0x12, 0x1c, 0x9e, 0x1e, 0xce, 0xd1, 0x2f, 0xaf, 0x05, 0x70, 0x5b, 0x47, 0xf2, 0x04, 0x7a, 0x89, 0xbc, 0x78, 0xa6, 0x65, 0x6c, 0xaa, 0x3c, 0xa2, 0x3c, 0x8b, 0x5c, 0xa9, 0x22, 0x48, + /* (2^215)P */ 0x7e, 0x8c, 0x8f, 0x2f, 0x60, 0xe3, 0x5a, 0x94, 0xd4, 0xce, 0xdd, 0x9d, 0x83, 0x3b, 0x77, 0x78, 0x43, 0x1d, 0xfd, 0x8f, 0xc8, 0xe8, 0x02, 0x90, 0xab, 0xf6, 0xc9, 0xfc, 0xf1, 0x63, 0xaa, 0x5f, 0x42, 0xf1, 0x78, 0x34, 0x64, 0x16, 0x75, 0x9c, 0x7d, 0xd0, 0xe4, 0x74, 0x5a, 0xa8, 0xfb, 0xcb, 0xac, 0x20, 0xa3, 0xc2, 0xa6, 0x20, 0xf8, 0x1b, + /* (2^216)P */ 0x00, 0x4f, 0x1e, 0x56, 0xb5, 0x34, 0xb2, 0x87, 0x31, 0xe5, 0xee, 0x8d, 0xf1, 0x41, 0x67, 0xb7, 0x67, 0x3a, 0x54, 0x86, 0x5c, 0xf0, 0x0b, 0x37, 0x2f, 0x1b, 0x92, 0x5d, 0x58, 0x93, 0xdc, 0xd8, 0x58, 0xcc, 0x9e, 0x67, 0xd0, 0x97, 0x3a, 0xaf, 0x49, 0x39, 0x2d, 0x3b, 0xd8, 0x98, 0xfb, 0x76, 0x6b, 0xe7, 0xaf, 0xc3, 0x45, 0x44, 0x53, 0x94, + /* (2^217)P */ 0x30, 0xbd, 0x90, 0x75, 0xd3, 0xbd, 0x3b, 0x58, 0x27, 0x14, 0x9f, 0x6b, 0xd4, 0x31, 0x99, 0xcd, 0xde, 0x3a, 0x21, 0x1e, 0xb4, 0x02, 0xe4, 0x33, 0x04, 0x02, 0xb0, 0x50, 0x66, 0x68, 0x90, 0xdd, 0x7b, 0x69, 0x31, 0xd9, 0xcf, 0x68, 0x73, 0xf1, 0x60, 0xdd, 0xc8, 0x1d, 0x5d, 0xe3, 0xd6, 0x5b, 0x2a, 0xa4, 0xea, 0xc4, 0x3f, 0x08, 0xcd, 0x9c, + /* (2^218)P */ 0x6b, 0x1a, 0xbf, 0x55, 0xc1, 0x1b, 0x0c, 0x05, 0x09, 0xdf, 0xf5, 0x5e, 0xa3, 0x77, 0x95, 0xe9, 0xdf, 0x19, 0xdd, 0xc7, 0x94, 0xcb, 0x06, 0x73, 0xd0, 0x88, 0x02, 0x33, 0x94, 0xca, 0x7a, 0x2f, 0x8e, 0x3d, 0x72, 0x61, 0x2d, 0x4d, 0xa6, 0x61, 0x1f, 0x32, 0x5e, 0x87, 0x53, 0x36, 0x11, 0x15, 0x20, 0xb3, 0x5a, 0x57, 0x51, 0x93, 0x20, 0xd8, + /* (2^219)P */ 0xb7, 0x56, 0xf4, 0xab, 0x7d, 0x0c, 0xfb, 0x99, 0x1a, 0x30, 0x29, 0xb0, 0x75, 0x2a, 0xf8, 0x53, 0x71, 0x23, 0xbd, 0xa7, 0xd8, 0x0a, 0xe2, 0x27, 0x65, 0xe9, 0x74, 0x26, 0x98, 0x4a, 0x69, 0x19, 0xb2, 0x4d, 0x0a, 0x17, 0x98, 0xb2, 0xa9, 0x57, 0x4e, 0xf6, 0x86, 0xc8, 0x01, 0xa4, 0xc6, 0x98, 0xad, 0x5a, 0x90, 0x2c, 0x05, 0x46, 0x64, 0xb7, + /* (2^220)P */ 0x7b, 0x91, 0xdf, 0xfc, 0xf8, 0x1c, 0x8c, 0x15, 0x9e, 0xf7, 0xd5, 0xa8, 0xe8, 0xe7, 0xe3, 0xa3, 0xb0, 0x04, 0x74, 0xfa, 0x78, 0xfb, 0x26, 0xbf, 0x67, 0x42, 0xf9, 0x8c, 0x9b, 0xb4, 0x69, 0x5b, 0x02, 0x13, 0x6d, 0x09, 0x6c, 0xd6, 0x99, 0x61, 0x7b, 0x89, 0x4a, 0x67, 0x75, 0xa3, 0x98, 0x13, 0x23, 0x1d, 0x18, 0x24, 0x0e, 0xef, 0x41, 0x79, + /* (2^221)P */ 0x86, 0x33, 0xab, 0x08, 0xcb, 0xbf, 0x1e, 0x76, 0x3c, 0x0b, 0xbd, 0x30, 0xdb, 0xe9, 0xa3, 0x35, 0x87, 0x1b, 0xe9, 0x07, 0x00, 0x66, 0x7f, 0x3b, 0x35, 0x0c, 0x8a, 0x3f, 0x61, 0xbc, 0xe0, 0xae, 0xf6, 0xcc, 0x54, 0xe1, 0x72, 0x36, 0x2d, 0xee, 0x93, 0x24, 0xf8, 0xd7, 0xc5, 0xf9, 0xcb, 0xb0, 0xe5, 0x88, 0x0d, 0x23, 0x4b, 0x76, 0x15, 0xa2, + /* (2^222)P */ 0x37, 0xdb, 0x83, 0xd5, 0x6d, 0x06, 0x24, 0x37, 0x1b, 0x15, 0x85, 0x15, 0xe2, 0xc0, 0x4e, 0x02, 0xa9, 0x6d, 0x0a, 0x3a, 0x94, 0x4a, 0x6f, 0x49, 0x00, 0x01, 0x72, 0xbb, 0x60, 0x14, 0x35, 0xae, 0xb4, 0xc6, 0x01, 0x0a, 0x00, 0x9e, 0xc3, 0x58, 0xc5, 0xd1, 0x5e, 0x30, 0x73, 0x96, 0x24, 0x85, 0x9d, 0xf0, 0xf9, 0xec, 0x09, 0xd3, 0xe7, 0x70, + /* (2^223)P */ 0xf3, 0xbd, 0x96, 0x87, 0xe9, 0x71, 0xbd, 0xd6, 0xa2, 0x45, 0xeb, 0x0a, 0xcd, 0x2c, 0xf1, 0x72, 0xa6, 0x31, 0xa9, 0x6f, 0x09, 0xa1, 0x5e, 0xdd, 0xc8, 0x8d, 0x0d, 0xbc, 0x5a, 0x8d, 0xb1, 0x2c, 0x9a, 0xcc, 0x37, 0x74, 0xc2, 0xa9, 0x4e, 0xd6, 0xc0, 0x3c, 0xa0, 0x23, 0xb0, 0xa0, 0x77, 0x14, 0x80, 0x45, 0x71, 0x6a, 0x2d, 0x41, 0xc3, 0x82, + /* (2^224)P */ 0x37, 0x44, 0xec, 0x8a, 0x3e, 0xc1, 0x0c, 0xa9, 0x12, 0x9c, 0x08, 0x88, 0xcb, 0xd9, 0xf8, 0xba, 0x00, 0xd6, 0xc3, 0xdf, 0xef, 0x7a, 0x44, 0x7e, 0x25, 0x69, 0xc9, 0xc1, 0x46, 0xe5, 0x20, 0x9e, 0xcc, 0x0b, 0x05, 0x3e, 0xf4, 0x78, 0x43, 0x0c, 0xa6, 0x2f, 0xc1, 0xfa, 0x70, 0xb2, 0x3c, 0x31, 0x7a, 0x63, 0x58, 0xab, 0x17, 0xcf, 0x4c, 0x4f, + /* (2^225)P */ 0x2b, 0x08, 0x31, 0x59, 0x75, 0x8b, 0xec, 0x0a, 0xa9, 0x79, 0x70, 0xdd, 0xf1, 0x11, 0xc3, 0x11, 0x1f, 0xab, 0x37, 0xaa, 0x26, 0xea, 0x53, 0xc4, 0x79, 0xa7, 0x91, 0x00, 0xaa, 0x08, 0x42, 0xeb, 0x8b, 0x8b, 0xe8, 0xc3, 0x2f, 0xb8, 0x78, 0x90, 0x38, 0x0e, 0x8a, 0x42, 0x0c, 0x0f, 0xbf, 0x3e, 0xf8, 0xd8, 0x07, 0xcf, 0x6a, 0x34, 0xc9, 0xfa, + /* (2^226)P */ 0x11, 0xe0, 0x76, 0x4d, 0x23, 0xc5, 0xa6, 0xcc, 0x9f, 0x9a, 0x2a, 0xde, 0x3a, 0xb5, 0x92, 0x39, 0x19, 0x8a, 0xf1, 0x8d, 0xf9, 0x4d, 0xc9, 0xb4, 0x39, 0x9f, 0x57, 0xd8, 0x72, 0xab, 0x1d, 0x61, 0x6a, 0xb2, 0xff, 0x52, 0xba, 0x54, 0x0e, 0xfb, 0x83, 0x30, 0x8a, 0xf7, 0x3b, 0xf4, 0xd8, 0xae, 0x1a, 0x94, 0x3a, 0xec, 0x63, 0xfe, 0x6e, 0x7c, + /* (2^227)P */ 0xdc, 0x70, 0x8e, 0x55, 0x44, 0xbf, 0xd2, 0x6a, 0xa0, 0x14, 0x61, 0x89, 0xd5, 0x55, 0x45, 0x3c, 0xf6, 0x40, 0x0d, 0x83, 0x85, 0x44, 0xb4, 0x62, 0x56, 0xfe, 0x60, 0xd7, 0x07, 0x1d, 0x47, 0x30, 0x3b, 0x73, 0xa4, 0xb5, 0xb7, 0xea, 0xac, 0xda, 0xf1, 0x17, 0xaa, 0x60, 0xdf, 0xe9, 0x84, 0xda, 0x31, 0x32, 0x61, 0xbf, 0xd0, 0x7e, 0x8a, 0x02, + /* (2^228)P */ 0xb9, 0x51, 0xb3, 0x89, 0x21, 0x5d, 0xa2, 0xfe, 0x79, 0x2a, 0xb3, 0x2a, 0x3b, 0xe6, 0x6f, 0x2b, 0x22, 0x03, 0xea, 0x7b, 0x1f, 0xaf, 0x85, 0xc3, 0x38, 0x55, 0x5b, 0x8e, 0xb4, 0xaa, 0x77, 0xfe, 0x03, 0x6e, 0xda, 0x91, 0x24, 0x0c, 0x48, 0x39, 0x27, 0x43, 0x16, 0xd2, 0x0a, 0x0d, 0x43, 0xa3, 0x0e, 0xca, 0x45, 0xd1, 0x7f, 0xf5, 0xd3, 0x16, + /* (2^229)P */ 0x3d, 0x32, 0x9b, 0x38, 0xf8, 0x06, 0x93, 0x78, 0x5b, 0x50, 0x2b, 0x06, 0xd8, 0x66, 0xfe, 0xab, 0x9b, 0x58, 0xc7, 0xd1, 0x4d, 0xd5, 0xf8, 0x3b, 0x10, 0x7e, 0x85, 0xde, 0x58, 0x4e, 0xdf, 0x53, 0xd9, 0x58, 0xe0, 0x15, 0x81, 0x9f, 0x1a, 0x78, 0xfc, 0x9f, 0x10, 0xc2, 0x23, 0xd6, 0x78, 0xd1, 0x9d, 0xd2, 0xd5, 0x1c, 0x53, 0xe2, 0xc9, 0x76, + /* (2^230)P */ 0x98, 0x1e, 0x38, 0x7b, 0x71, 0x18, 0x4b, 0x15, 0xaf, 0xa1, 0xa6, 0x98, 0xcb, 0x26, 0xa3, 0xc8, 0x07, 0x46, 0xda, 0x3b, 0x70, 0x65, 0xec, 0x7a, 0x2b, 0x34, 0x94, 0xa8, 0xb6, 0x14, 0xf8, 0x1a, 0xce, 0xf7, 0xc8, 0x60, 0xf3, 0x88, 0xf4, 0x33, 0x60, 0x7b, 0xd1, 0x02, 0xe7, 0xda, 0x00, 0x4a, 0xea, 0xd2, 0xfd, 0x88, 0xd2, 0x99, 0x28, 0xf3, + /* (2^231)P */ 0x28, 0x24, 0x1d, 0x26, 0xc2, 0xeb, 0x8b, 0x3b, 0xb4, 0x6b, 0xbe, 0x6b, 0x77, 0xff, 0xf3, 0x21, 0x3b, 0x26, 0x6a, 0x8c, 0x8e, 0x2a, 0x44, 0xa8, 0x01, 0x2b, 0x71, 0xea, 0x64, 0x30, 0xfd, 0xfd, 0x95, 0xcb, 0x39, 0x38, 0x48, 0xfa, 0x96, 0x97, 0x8c, 0x2f, 0x33, 0xca, 0x03, 0xe6, 0xd7, 0x94, 0x55, 0x6c, 0xc3, 0xb3, 0xa8, 0xf7, 0xae, 0x8c, + /* (2^232)P */ 0xea, 0x62, 0x8a, 0xb4, 0xeb, 0x74, 0xf7, 0xb8, 0xae, 0xc5, 0x20, 0x71, 0x06, 0xd6, 0x7c, 0x62, 0x9b, 0x69, 0x74, 0xef, 0xa7, 0x6d, 0xd6, 0x8c, 0x37, 0xb9, 0xbf, 0xcf, 0xeb, 0xe4, 0x2f, 0x04, 0x02, 0x21, 0x7d, 0x75, 0x6b, 0x92, 0x48, 0xf8, 0x70, 0xad, 0x69, 0xe2, 0xea, 0x0e, 0x88, 0x67, 0x72, 0xcc, 0x2d, 0x10, 0xce, 0x2d, 0xcf, 0x65, + /* (2^233)P */ 0x49, 0xf3, 0x57, 0x64, 0xe5, 0x5c, 0xc5, 0x65, 0x49, 0x97, 0xc4, 0x8a, 0xcc, 0xa9, 0xca, 0x94, 0x7b, 0x86, 0x88, 0xb6, 0x51, 0x27, 0x69, 0xa5, 0x0f, 0x8b, 0x06, 0x59, 0xa0, 0x94, 0xef, 0x63, 0x1a, 0x01, 0x9e, 0x4f, 0xd2, 0x5a, 0x93, 0xc0, 0x7c, 0xe6, 0x61, 0x77, 0xb6, 0xf5, 0x40, 0xd9, 0x98, 0x43, 0x5b, 0x56, 0x68, 0xe9, 0x37, 0x8f, + /* (2^234)P */ 0xee, 0x87, 0xd2, 0x05, 0x1b, 0x39, 0x89, 0x10, 0x07, 0x6d, 0xe8, 0xfd, 0x8b, 0x4d, 0xb2, 0xa7, 0x7b, 0x1e, 0xa0, 0x6c, 0x0d, 0x3d, 0x3d, 0x49, 0xba, 0x61, 0x36, 0x1f, 0xc2, 0x84, 0x4a, 0xcc, 0x87, 0xa9, 0x1b, 0x23, 0x04, 0xe2, 0x3e, 0x97, 0xe1, 0xdb, 0xd5, 0x5a, 0xe8, 0x41, 0x6b, 0xe5, 0x5a, 0xa1, 0x99, 0xe5, 0x7b, 0xa7, 0xe0, 0x3b, + /* (2^235)P */ 0xea, 0xa3, 0x6a, 0xdd, 0x77, 0x7f, 0x77, 0x41, 0xc5, 0x6a, 0xe4, 0xaf, 0x11, 0x5f, 0x88, 0xa5, 0x10, 0xee, 0xd0, 0x8c, 0x0c, 0xb4, 0xa5, 0x2a, 0xd0, 0xd8, 0x1d, 0x47, 0x06, 0xc0, 0xd5, 0xce, 0x51, 0x54, 0x9b, 0x2b, 0xe6, 0x2f, 0xe7, 0xe7, 0x31, 0x5f, 0x5c, 0x23, 0x81, 0x3e, 0x03, 0x93, 0xaa, 0x2d, 0x71, 0x84, 0xa0, 0x89, 0x32, 0xa6, + /* (2^236)P */ 0x55, 0xa3, 0x13, 0x92, 0x4e, 0x93, 0x7d, 0xec, 0xca, 0x57, 0xfb, 0x37, 0xae, 0xd2, 0x18, 0x2e, 0x54, 0x05, 0x6c, 0xd1, 0x28, 0xca, 0x90, 0x40, 0x82, 0x2e, 0x79, 0xc6, 0x5a, 0xc7, 0xdd, 0x84, 0x93, 0xdf, 0x15, 0xb8, 0x1f, 0xb1, 0xf9, 0xaf, 0x2c, 0xe5, 0x32, 0xcd, 0xc2, 0x99, 0x6d, 0xac, 0x85, 0x5c, 0x63, 0xd3, 0xe2, 0xff, 0x24, 0xda, + /* (2^237)P */ 0x2d, 0x8d, 0xfd, 0x65, 0xcc, 0xe5, 0x02, 0xa0, 0xe5, 0xb9, 0xec, 0x59, 0x09, 0x50, 0x27, 0xb7, 0x3d, 0x2a, 0x79, 0xb2, 0x76, 0x5d, 0x64, 0x95, 0xf8, 0xc5, 0xaf, 0x8a, 0x62, 0x11, 0x5c, 0x56, 0x1c, 0x05, 0x64, 0x9e, 0x5e, 0xbd, 0x54, 0x04, 0xe6, 0x9e, 0xab, 0xe6, 0x22, 0x7e, 0x42, 0x54, 0xb5, 0xa5, 0xd0, 0x8d, 0x28, 0x6b, 0x0f, 0x0b, + /* (2^238)P */ 0x2d, 0xb2, 0x8c, 0x59, 0x10, 0x37, 0x84, 0x3b, 0x9b, 0x65, 0x1b, 0x0f, 0x10, 0xf9, 0xea, 0x60, 0x1b, 0x02, 0xf5, 0xee, 0x8b, 0xe6, 0x32, 0x7d, 0x10, 0x7f, 0x5f, 0x8c, 0x72, 0x09, 0x4e, 0x1f, 0x29, 0xff, 0x65, 0xcb, 0x3e, 0x3a, 0xd2, 0x96, 0x50, 0x1e, 0xea, 0x64, 0x99, 0xb5, 0x4c, 0x7a, 0x69, 0xb8, 0x95, 0xae, 0x48, 0xc0, 0x7c, 0xb1, + /* (2^239)P */ 0xcd, 0x7c, 0x4f, 0x3e, 0xea, 0xf3, 0x90, 0xcb, 0x12, 0x76, 0xd1, 0x17, 0xdc, 0x0d, 0x13, 0x0f, 0xfd, 0x4d, 0xb5, 0x1f, 0xe4, 0xdd, 0xf2, 0x4d, 0x58, 0xea, 0xa5, 0x66, 0x92, 0xcf, 0xe5, 0x54, 0xea, 0x9b, 0x35, 0x83, 0x1a, 0x44, 0x8e, 0x62, 0x73, 0x45, 0x98, 0xa3, 0x89, 0x95, 0x52, 0x93, 0x1a, 0x8d, 0x63, 0x0f, 0xc2, 0x57, 0x3c, 0xb1, + /* (2^240)P */ 0x72, 0xb4, 0xdf, 0x51, 0xb7, 0xf6, 0x52, 0xa2, 0x14, 0x56, 0xe5, 0x0a, 0x2e, 0x75, 0x81, 0x02, 0xee, 0x93, 0x48, 0x0a, 0x92, 0x4e, 0x0c, 0x0f, 0xdf, 0x09, 0x89, 0x99, 0xf6, 0xf9, 0x22, 0xa2, 0x32, 0xf8, 0xb0, 0x76, 0x0c, 0xb2, 0x4d, 0x6e, 0xbe, 0x83, 0x35, 0x61, 0x44, 0xd2, 0x58, 0xc7, 0xdd, 0x14, 0xcf, 0xc3, 0x4b, 0x7c, 0x07, 0xee, + /* (2^241)P */ 0x8b, 0x03, 0xee, 0xcb, 0xa7, 0x2e, 0x28, 0xbd, 0x97, 0xd1, 0x4c, 0x2b, 0xd1, 0x92, 0x67, 0x5b, 0x5a, 0x12, 0xbf, 0x29, 0x17, 0xfc, 0x50, 0x09, 0x74, 0x76, 0xa2, 0xd4, 0x82, 0xfd, 0x2c, 0x0c, 0x90, 0xf7, 0xe7, 0xe5, 0x9a, 0x2c, 0x16, 0x40, 0xb9, 0x6c, 0xd9, 0xe0, 0x22, 0x9e, 0xf8, 0xdd, 0x73, 0xe4, 0x7b, 0x9e, 0xbe, 0x4f, 0x66, 0x22, + /* (2^242)P */ 0xa4, 0x10, 0xbe, 0xb8, 0x83, 0x3a, 0x77, 0x8e, 0xea, 0x0a, 0xc4, 0x97, 0x3e, 0xb6, 0x6c, 0x81, 0xd7, 0x65, 0xd9, 0xf7, 0xae, 0xe6, 0xbe, 0xab, 0x59, 0x81, 0x29, 0x4b, 0xff, 0xe1, 0x0f, 0xc3, 0x2b, 0xad, 0x4b, 0xef, 0xc4, 0x50, 0x9f, 0x88, 0x31, 0xf2, 0xde, 0x80, 0xd6, 0xf4, 0x20, 0x9c, 0x77, 0x9b, 0xbe, 0xbe, 0x08, 0xf5, 0xf0, 0x95, + /* (2^243)P */ 0x0e, 0x7c, 0x7b, 0x7c, 0xb3, 0xd8, 0x83, 0xfc, 0x8c, 0x75, 0x51, 0x74, 0x1b, 0xe1, 0x6d, 0x11, 0x05, 0x46, 0x24, 0x0d, 0xa4, 0x2b, 0x32, 0xfd, 0x2c, 0x4e, 0x21, 0xdf, 0x39, 0x6b, 0x96, 0xfc, 0xff, 0x92, 0xfc, 0x35, 0x0d, 0x9a, 0x4b, 0xc0, 0x70, 0x46, 0x32, 0x7d, 0xc0, 0xc4, 0x04, 0xe0, 0x2d, 0x83, 0xa7, 0x00, 0xc7, 0xcb, 0xb4, 0x8f, + /* (2^244)P */ 0xa9, 0x5a, 0x7f, 0x0e, 0xdd, 0x2c, 0x85, 0xaa, 0x4d, 0xac, 0xde, 0xb3, 0xb6, 0xaf, 0xe6, 0xd1, 0x06, 0x7b, 0x2c, 0xa4, 0x01, 0x19, 0x22, 0x7d, 0x78, 0xf0, 0x3a, 0xea, 0x89, 0xfe, 0x21, 0x61, 0x6d, 0xb8, 0xfe, 0xa5, 0x2a, 0xab, 0x0d, 0x7b, 0x51, 0x39, 0xb6, 0xde, 0xbc, 0xf0, 0xc5, 0x48, 0xd7, 0x09, 0x82, 0x6e, 0x66, 0x75, 0xc5, 0xcd, + /* (2^245)P */ 0xee, 0xdf, 0x2b, 0x6c, 0xa8, 0xde, 0x61, 0xe1, 0x27, 0xfa, 0x2a, 0x0f, 0x68, 0xe7, 0x7a, 0x9b, 0x13, 0xe9, 0x56, 0xd2, 0x1c, 0x3d, 0x2f, 0x3c, 0x7a, 0xf6, 0x6f, 0x45, 0xee, 0xe8, 0xf4, 0xa0, 0xa6, 0xe8, 0xa5, 0x27, 0xee, 0xf2, 0x85, 0xa9, 0xd5, 0x0e, 0xa9, 0x26, 0x60, 0xfe, 0xee, 0xc7, 0x59, 0x99, 0x5e, 0xa3, 0xdf, 0x23, 0x36, 0xd5, + /* (2^246)P */ 0x15, 0x66, 0x6f, 0xd5, 0x78, 0xa4, 0x0a, 0xf7, 0xb1, 0xe8, 0x75, 0x6b, 0x48, 0x7d, 0xa6, 0x4d, 0x3d, 0x36, 0x9b, 0xc7, 0xcc, 0x68, 0x9a, 0xfe, 0x2f, 0x39, 0x2a, 0x51, 0x31, 0x39, 0x7d, 0x73, 0x6f, 0xc8, 0x74, 0x72, 0x6f, 0x6e, 0xda, 0x5f, 0xad, 0x48, 0xc8, 0x40, 0xe1, 0x06, 0x01, 0x36, 0xa1, 0x88, 0xc8, 0x99, 0x9c, 0xd1, 0x11, 0x8f, + /* (2^247)P */ 0xab, 0xc5, 0xcb, 0xcf, 0xbd, 0x73, 0x21, 0xd0, 0x82, 0xb1, 0x2e, 0x2d, 0xd4, 0x36, 0x1b, 0xed, 0xa9, 0x8a, 0x26, 0x79, 0xc4, 0x17, 0xae, 0xe5, 0x09, 0x0a, 0x0c, 0xa4, 0x21, 0xa0, 0x6e, 0xdd, 0x62, 0x8e, 0x44, 0x62, 0xcc, 0x50, 0xff, 0x93, 0xb3, 0x9a, 0x72, 0x8c, 0x3f, 0xa1, 0xa6, 0x4d, 0x87, 0xd5, 0x1c, 0x5a, 0xc0, 0x0b, 0x1a, 0xd6, + /* (2^248)P */ 0x67, 0x36, 0x6a, 0x1f, 0x96, 0xe5, 0x80, 0x20, 0xa9, 0xe8, 0x0b, 0x0e, 0x21, 0x29, 0x3f, 0xc8, 0x0a, 0x6d, 0x27, 0x47, 0xca, 0xd9, 0x05, 0x55, 0xbf, 0x11, 0xcf, 0x31, 0x7a, 0x37, 0xc7, 0x90, 0xa9, 0xf4, 0x07, 0x5e, 0xd5, 0xc3, 0x92, 0xaa, 0x95, 0xc8, 0x23, 0x2a, 0x53, 0x45, 0xe3, 0x3a, 0x24, 0xe9, 0x67, 0x97, 0x3a, 0x82, 0xf9, 0xa6, + /* (2^249)P */ 0x92, 0x9e, 0x6d, 0x82, 0x67, 0xe9, 0xf9, 0x17, 0x96, 0x2c, 0xa7, 0xd3, 0x89, 0xf9, 0xdb, 0xd8, 0x20, 0xc6, 0x2e, 0xec, 0x4a, 0x76, 0x64, 0xbf, 0x27, 0x40, 0xe2, 0xb4, 0xdf, 0x1f, 0xa0, 0xef, 0x07, 0x80, 0xfb, 0x8e, 0x12, 0xf8, 0xb8, 0xe1, 0xc6, 0xdf, 0x7c, 0x69, 0x35, 0x5a, 0xe1, 0x8e, 0x5d, 0x69, 0x84, 0x56, 0xb6, 0x31, 0x1c, 0x0b, + /* (2^250)P */ 0xd6, 0x94, 0x5c, 0xef, 0xbb, 0x46, 0x45, 0x44, 0x5b, 0xa1, 0xae, 0x03, 0x65, 0xdd, 0xb5, 0x66, 0x88, 0x35, 0x29, 0x95, 0x16, 0x54, 0xa6, 0xf5, 0xc9, 0x78, 0x34, 0xe6, 0x0f, 0xc4, 0x2b, 0x5b, 0x79, 0x51, 0x68, 0x48, 0x3a, 0x26, 0x87, 0x05, 0x70, 0xaf, 0x8b, 0xa6, 0xc7, 0x2e, 0xb3, 0xa9, 0x10, 0x01, 0xb0, 0xb9, 0x31, 0xfd, 0xdc, 0x80, + /* (2^251)P */ 0x25, 0xf2, 0xad, 0xd6, 0x75, 0xa3, 0x04, 0x05, 0x64, 0x8a, 0x97, 0x60, 0x27, 0x2a, 0xe5, 0x6d, 0xb0, 0x73, 0xf4, 0x07, 0x2a, 0x9d, 0xe9, 0x46, 0xb4, 0x1c, 0x51, 0xf8, 0x63, 0x98, 0x7e, 0xe5, 0x13, 0x51, 0xed, 0x98, 0x65, 0x98, 0x4f, 0x8f, 0xe7, 0x7e, 0x72, 0xd7, 0x64, 0x11, 0x2f, 0xcd, 0x12, 0xf8, 0xc4, 0x63, 0x52, 0x0f, 0x7f, 0xc4, + /* (2^252)P */ 0x5c, 0xd9, 0x85, 0x63, 0xc7, 0x8a, 0x65, 0x9a, 0x25, 0x83, 0x31, 0x73, 0x49, 0xf0, 0x93, 0x96, 0x70, 0x67, 0x6d, 0xb1, 0xff, 0x95, 0x54, 0xe4, 0xf8, 0x15, 0x6c, 0x5f, 0xbd, 0xf6, 0x0f, 0x38, 0x7b, 0x68, 0x7d, 0xd9, 0x3d, 0xf0, 0xa9, 0xa0, 0xe4, 0xd1, 0xb6, 0x34, 0x6d, 0x14, 0x16, 0xc2, 0x4c, 0x30, 0x0e, 0x67, 0xd3, 0xbe, 0x2e, 0xc0, + /* (2^253)P */ 0x06, 0x6b, 0x52, 0xc8, 0x14, 0xcd, 0xae, 0x03, 0x93, 0xea, 0xc1, 0xf2, 0xf6, 0x8b, 0xc5, 0xb6, 0xdc, 0x82, 0x42, 0x29, 0x94, 0xe0, 0x25, 0x6c, 0x3f, 0x9f, 0x5d, 0xe4, 0x96, 0xf6, 0x8e, 0x3f, 0xf9, 0x72, 0xc4, 0x77, 0x60, 0x8b, 0xa4, 0xf9, 0xa8, 0xc3, 0x0a, 0x81, 0xb1, 0x97, 0x70, 0x18, 0xab, 0xea, 0x37, 0x8a, 0x08, 0xc7, 0xe2, 0x95, + /* (2^254)P */ 0x94, 0x49, 0xd9, 0x5f, 0x76, 0x72, 0x82, 0xad, 0x2d, 0x50, 0x1a, 0x7a, 0x5b, 0xe6, 0x95, 0x1e, 0x95, 0x65, 0x87, 0x1c, 0x52, 0xd7, 0x44, 0xe6, 0x9b, 0x56, 0xcd, 0x6f, 0x05, 0xff, 0x67, 0xc5, 0xdb, 0xa2, 0xac, 0xe4, 0xa2, 0x28, 0x63, 0x5f, 0xfb, 0x0c, 0x3b, 0xf1, 0x87, 0xc3, 0x36, 0x78, 0x3f, 0x77, 0xfa, 0x50, 0x85, 0xf9, 0xd7, 0x82, + /* (2^255)P */ 0x64, 0xc0, 0xe0, 0xd8, 0x2d, 0xed, 0xcb, 0x6a, 0xfd, 0xcd, 0xbc, 0x7e, 0x9f, 0xc8, 0x85, 0xe9, 0xc1, 0x7c, 0x0f, 0xe5, 0x18, 0xea, 0xd4, 0x51, 0xad, 0x59, 0x13, 0x75, 0xd9, 0x3d, 0xd4, 0x8a, 0xb2, 0xbe, 0x78, 0x52, 0x2b, 0x52, 0x94, 0x37, 0x41, 0xd6, 0xb4, 0xb6, 0x45, 0x20, 0x76, 0xe0, 0x1f, 0x31, 0xdb, 0xb1, 0xa1, 0x43, 0xf0, 0x18, + /* (2^256)P */ 0x74, 0xa9, 0xa4, 0xa9, 0xdd, 0x6e, 0x3e, 0x68, 0xe5, 0xc3, 0x2e, 0x92, 0x17, 0xa4, 0xcb, 0x80, 0xb1, 0xf0, 0x06, 0x93, 0xef, 0xe6, 0x00, 0xe6, 0x3b, 0xb1, 0x32, 0x65, 0x7b, 0x83, 0xb6, 0x8a, 0x49, 0x1b, 0x14, 0x89, 0xee, 0xba, 0xf5, 0x6a, 0x8d, 0x36, 0xef, 0xb0, 0xd8, 0xb2, 0x16, 0x99, 0x17, 0x35, 0x02, 0x16, 0x55, 0x58, 0xdd, 0x82, + /* (2^257)P */ 0x36, 0x95, 0xe8, 0xf4, 0x36, 0x42, 0xbb, 0xc5, 0x3e, 0xfa, 0x30, 0x84, 0x9e, 0x59, 0xfd, 0xd2, 0x95, 0x42, 0xf8, 0x64, 0xd9, 0xb9, 0x0e, 0x9f, 0xfa, 0xd0, 0x7b, 0x20, 0x31, 0x77, 0x48, 0x29, 0x4d, 0xd0, 0x32, 0x57, 0x56, 0x30, 0xa6, 0x17, 0x53, 0x04, 0xbf, 0x08, 0x28, 0xec, 0xb8, 0x46, 0xc1, 0x03, 0x89, 0xdc, 0xed, 0xa0, 0x35, 0x53, + /* (2^258)P */ 0xc5, 0x7f, 0x9e, 0xd8, 0xc5, 0xba, 0x5f, 0x68, 0xc8, 0x23, 0x75, 0xea, 0x0d, 0xd9, 0x5a, 0xfd, 0x61, 0x1a, 0xa3, 0x2e, 0x45, 0x63, 0x14, 0x55, 0x86, 0x21, 0x29, 0xbe, 0xef, 0x5e, 0x50, 0xe5, 0x18, 0x59, 0xe7, 0xe3, 0xce, 0x4d, 0x8c, 0x15, 0x8f, 0x89, 0x66, 0x44, 0x52, 0x3d, 0xfa, 0xc7, 0x9a, 0x59, 0x90, 0x8e, 0xc0, 0x06, 0x3f, 0xc9, + /* (2^259)P */ 0x8e, 0x04, 0xd9, 0x16, 0x50, 0x1d, 0x8c, 0x9f, 0xd5, 0xe3, 0xce, 0xfd, 0x47, 0x04, 0x27, 0x4d, 0xc2, 0xfa, 0x71, 0xd9, 0x0b, 0xb8, 0x65, 0xf4, 0x11, 0xf3, 0x08, 0xee, 0x81, 0xc8, 0x67, 0x99, 0x0b, 0x8d, 0x77, 0xa3, 0x4f, 0xb5, 0x9b, 0xdb, 0x26, 0xf1, 0x97, 0xeb, 0x04, 0x54, 0xeb, 0x80, 0x08, 0x1d, 0x1d, 0xf6, 0x3d, 0x1f, 0x5a, 0xb8, + /* (2^260)P */ 0xb7, 0x9c, 0x9d, 0xee, 0xb9, 0x5c, 0xad, 0x0d, 0x9e, 0xfd, 0x60, 0x3c, 0x27, 0x4e, 0xa2, 0x95, 0xfb, 0x64, 0x7e, 0x79, 0x64, 0x87, 0x10, 0xb4, 0x73, 0xe0, 0x9d, 0x46, 0x4d, 0x3d, 0xee, 0x83, 0xe4, 0x16, 0x88, 0x97, 0xe6, 0x4d, 0xba, 0x70, 0xb6, 0x96, 0x7b, 0xff, 0x4b, 0xc8, 0xcf, 0x72, 0x83, 0x3e, 0x5b, 0x24, 0x2e, 0x57, 0xf1, 0x82, + /* (2^261)P */ 0x30, 0x71, 0x40, 0x51, 0x4f, 0x44, 0xbb, 0xc7, 0xf0, 0x54, 0x6e, 0x9d, 0xeb, 0x15, 0xad, 0xf8, 0x61, 0x43, 0x5a, 0xef, 0xc0, 0xb1, 0x57, 0xae, 0x03, 0x40, 0xe8, 0x68, 0x6f, 0x03, 0x20, 0x4f, 0x8a, 0x51, 0x2a, 0x9e, 0xd2, 0x45, 0xaf, 0xb4, 0xf5, 0xd4, 0x95, 0x7f, 0x3d, 0x3d, 0xb7, 0xb6, 0x28, 0xc5, 0x08, 0x8b, 0x44, 0xd6, 0x3f, 0xe7, + /* (2^262)P */ 0xa9, 0x52, 0x04, 0x67, 0xcb, 0x20, 0x63, 0xf8, 0x18, 0x01, 0x44, 0x21, 0x6a, 0x8a, 0x83, 0x48, 0xd4, 0xaf, 0x23, 0x0f, 0x35, 0x8d, 0xe5, 0x5a, 0xc4, 0x7c, 0x55, 0x46, 0x19, 0x5f, 0x35, 0xe0, 0x5d, 0x97, 0x4c, 0x2d, 0x04, 0xed, 0x59, 0xd4, 0xb0, 0xb2, 0xc6, 0xe3, 0x51, 0xe1, 0x38, 0xc6, 0x30, 0x49, 0x8f, 0xae, 0x61, 0x64, 0xce, 0xa8, + /* (2^263)P */ 0x9b, 0x64, 0x83, 0x3c, 0xd3, 0xdf, 0xb9, 0x27, 0xe7, 0x5b, 0x7f, 0xeb, 0xf3, 0x26, 0xcf, 0xb1, 0x8f, 0xaf, 0x26, 0xc8, 0x48, 0xce, 0xa1, 0xac, 0x7d, 0x10, 0x34, 0x28, 0xe1, 0x1f, 0x69, 0x03, 0x64, 0x77, 0x61, 0xdd, 0x4a, 0x9b, 0x18, 0x47, 0xf8, 0xca, 0x63, 0xc9, 0x03, 0x2d, 0x20, 0x2a, 0x69, 0x6e, 0x42, 0xd0, 0xe7, 0xaa, 0xb5, 0xf3, + /* (2^264)P */ 0xea, 0x31, 0x0c, 0x57, 0x0f, 0x3e, 0xe3, 0x35, 0xd8, 0x30, 0xa5, 0x6f, 0xdd, 0x95, 0x43, 0xc6, 0x66, 0x07, 0x4f, 0x34, 0xc3, 0x7e, 0x04, 0x10, 0x2d, 0xc4, 0x1c, 0x94, 0x52, 0x2e, 0x5b, 0x9a, 0x65, 0x2f, 0x91, 0xaa, 0x4f, 0x3c, 0xdc, 0x23, 0x18, 0xe1, 0x4f, 0x85, 0xcd, 0xf4, 0x8c, 0x51, 0xf7, 0xab, 0x4f, 0xdc, 0x15, 0x5c, 0x9e, 0xc5, + /* (2^265)P */ 0x54, 0x57, 0x23, 0x17, 0xe7, 0x82, 0x2f, 0x04, 0x7d, 0xfe, 0xe7, 0x1f, 0xa2, 0x57, 0x79, 0xe9, 0x58, 0x9b, 0xbe, 0xc6, 0x16, 0x4a, 0x17, 0x50, 0x90, 0x4a, 0x34, 0x70, 0x87, 0x37, 0x01, 0x26, 0xd8, 0xa3, 0x5f, 0x07, 0x7c, 0xd0, 0x7d, 0x05, 0x8a, 0x93, 0x51, 0x2f, 0x99, 0xea, 0xcf, 0x00, 0xd8, 0xc7, 0xe6, 0x9b, 0x8c, 0x62, 0x45, 0x87, + /* (2^266)P */ 0xc3, 0xfd, 0x29, 0x66, 0xe7, 0x30, 0x29, 0x77, 0xe0, 0x0d, 0x63, 0x5b, 0xe6, 0x90, 0x1a, 0x1e, 0x99, 0xc2, 0xa7, 0xab, 0xff, 0xa7, 0xbd, 0x79, 0x01, 0x97, 0xfd, 0x27, 0x1b, 0x43, 0x2b, 0xe6, 0xfe, 0x5e, 0xf1, 0xb9, 0x35, 0x38, 0x08, 0x25, 0x55, 0x90, 0x68, 0x2e, 0xc3, 0x67, 0x39, 0x9f, 0x2b, 0x2c, 0x70, 0x48, 0x8c, 0x47, 0xee, 0x56, + /* (2^267)P */ 0xf7, 0x32, 0x70, 0xb5, 0xe6, 0x42, 0xfd, 0x0a, 0x39, 0x9b, 0x07, 0xfe, 0x0e, 0xf4, 0x47, 0xba, 0x6a, 0x3f, 0xf5, 0x2c, 0x15, 0xf3, 0x60, 0x3f, 0xb1, 0x83, 0x7b, 0x2e, 0x34, 0x58, 0x1a, 0x6e, 0x4a, 0x49, 0x05, 0x45, 0xca, 0xdb, 0x00, 0x01, 0x0c, 0x42, 0x5e, 0x60, 0x40, 0x5f, 0xd9, 0xc7, 0x3a, 0x9e, 0x1c, 0x8d, 0xab, 0x11, 0x55, 0x65, + /* (2^268)P */ 0x87, 0x40, 0xb7, 0x0d, 0xaa, 0x34, 0x89, 0x90, 0x75, 0x6d, 0xa2, 0xfe, 0x3b, 0x6d, 0x5c, 0x39, 0x98, 0x10, 0x9e, 0x15, 0xc5, 0x35, 0xa2, 0x27, 0x23, 0x0a, 0x2d, 0x60, 0xe2, 0xa8, 0x7f, 0x3e, 0x77, 0x8f, 0xcc, 0x44, 0xcc, 0x30, 0x28, 0xe2, 0xf0, 0x04, 0x8c, 0xee, 0xe4, 0x5f, 0x68, 0x8c, 0xdf, 0x70, 0xbf, 0x31, 0xee, 0x2a, 0xfc, 0xce, + /* (2^269)P */ 0x92, 0xf2, 0xa0, 0xd9, 0x58, 0x3b, 0x7c, 0x1a, 0x99, 0x46, 0x59, 0x54, 0x60, 0x06, 0x8d, 0x5e, 0xf0, 0x22, 0xa1, 0xed, 0x92, 0x8a, 0x4d, 0x76, 0x95, 0x05, 0x0b, 0xff, 0xfc, 0x9a, 0xd1, 0xcc, 0x05, 0xb9, 0x5e, 0x99, 0xe8, 0x2a, 0x76, 0x7b, 0xfd, 0xa6, 0xe2, 0xd1, 0x1a, 0xd6, 0x76, 0x9f, 0x2f, 0x0e, 0xd1, 0xa8, 0x77, 0x5a, 0x40, 0x5a, + /* (2^270)P */ 0xff, 0xf9, 0x3f, 0xa9, 0xa6, 0x6c, 0x6d, 0x03, 0x8b, 0xa7, 0x10, 0x5d, 0x3f, 0xec, 0x3e, 0x1c, 0x0b, 0x6b, 0xa2, 0x6a, 0x22, 0xa9, 0x28, 0xd0, 0x66, 0xc9, 0xc2, 0x3d, 0x47, 0x20, 0x7d, 0xa6, 0x1d, 0xd8, 0x25, 0xb5, 0xf2, 0xf9, 0x70, 0x19, 0x6b, 0xf8, 0x43, 0x36, 0xc5, 0x1f, 0xe4, 0x5a, 0x4c, 0x13, 0xe4, 0x6d, 0x08, 0x0b, 0x1d, 0xb1, + /* (2^271)P */ 0x3f, 0x20, 0x9b, 0xfb, 0xec, 0x7d, 0x31, 0xc5, 0xfc, 0x88, 0x0b, 0x30, 0xed, 0x36, 0xc0, 0x63, 0xb1, 0x7d, 0x10, 0xda, 0xb6, 0x2e, 0xad, 0xf3, 0xec, 0x94, 0xe7, 0xec, 0xb5, 0x9c, 0xfe, 0xf5, 0x35, 0xf0, 0xa2, 0x2d, 0x7f, 0xca, 0x6b, 0x67, 0x1a, 0xf6, 0xb3, 0xda, 0x09, 0x2a, 0xaa, 0xdf, 0xb1, 0xca, 0x9b, 0xfb, 0xeb, 0xb3, 0xcd, 0xc0, + /* (2^272)P */ 0xcd, 0x4d, 0x89, 0x00, 0xa4, 0x3b, 0x48, 0xf0, 0x76, 0x91, 0x35, 0xa5, 0xf8, 0xc9, 0xb6, 0x46, 0xbc, 0xf6, 0x9a, 0x45, 0x47, 0x17, 0x96, 0x80, 0x5b, 0x3a, 0x28, 0x33, 0xf9, 0x5a, 0xef, 0x43, 0x07, 0xfe, 0x3b, 0xf4, 0x8e, 0x19, 0xce, 0xd2, 0x94, 0x4b, 0x6d, 0x8e, 0x67, 0x20, 0xc7, 0x4f, 0x2f, 0x59, 0x8e, 0xe1, 0xa1, 0xa9, 0xf9, 0x0e, + /* (2^273)P */ 0xdc, 0x7b, 0xb5, 0x50, 0x2e, 0xe9, 0x7e, 0x8b, 0x78, 0xa1, 0x38, 0x96, 0x22, 0xc3, 0x61, 0x67, 0x6d, 0xc8, 0x58, 0xed, 0x41, 0x1d, 0x5d, 0x86, 0x98, 0x7f, 0x2f, 0x1b, 0x8d, 0x3e, 0xaa, 0xc1, 0xd2, 0x0a, 0xf3, 0xbf, 0x95, 0x04, 0xf3, 0x10, 0x3c, 0x2b, 0x7f, 0x90, 0x46, 0x04, 0xaa, 0x6a, 0xa9, 0x35, 0x76, 0xac, 0x49, 0xb5, 0x00, 0x45, + /* (2^274)P */ 0xb1, 0x93, 0x79, 0x84, 0x4a, 0x2a, 0x30, 0x78, 0x16, 0xaa, 0xc5, 0x74, 0x06, 0xce, 0xa5, 0xa7, 0x32, 0x86, 0xe0, 0xf9, 0x10, 0xd2, 0x58, 0x76, 0xfb, 0x66, 0x49, 0x76, 0x3a, 0x90, 0xba, 0xb5, 0xcc, 0x99, 0xcd, 0x09, 0xc1, 0x9a, 0x74, 0x23, 0xdf, 0x0c, 0xfe, 0x99, 0x52, 0x80, 0xa3, 0x7c, 0x1c, 0x71, 0x5f, 0x2c, 0x49, 0x57, 0xf4, 0xf9, + /* (2^275)P */ 0x6d, 0xbf, 0x52, 0xe6, 0x25, 0x98, 0xed, 0xcf, 0xe3, 0xbc, 0x08, 0xa2, 0x1a, 0x90, 0xae, 0xa0, 0xbf, 0x07, 0x15, 0xad, 0x0a, 0x9f, 0x3e, 0x47, 0x44, 0xc2, 0x10, 0x46, 0xa6, 0x7a, 0x9e, 0x2f, 0x57, 0xbc, 0xe2, 0xf0, 0x1d, 0xd6, 0x9a, 0x06, 0xed, 0xfc, 0x54, 0x95, 0x92, 0x15, 0xa2, 0xf7, 0x8d, 0x6b, 0xef, 0xb2, 0x05, 0xed, 0x5c, 0x63, + /* (2^276)P */ 0xbc, 0x0b, 0x27, 0x3a, 0x3a, 0xf8, 0xe1, 0x48, 0x02, 0x7e, 0x27, 0xe6, 0x81, 0x62, 0x07, 0x73, 0x74, 0xe5, 0x52, 0xd7, 0xf8, 0x26, 0xca, 0x93, 0x4d, 0x3e, 0x9b, 0x55, 0x09, 0x8e, 0xe3, 0xd7, 0xa6, 0xe3, 0xb6, 0x2a, 0xa9, 0xb3, 0xb0, 0xa0, 0x8c, 0x01, 0xbb, 0x07, 0x90, 0x78, 0x6d, 0x6d, 0xe9, 0xf0, 0x7a, 0x90, 0xbd, 0xdc, 0x0c, 0x36, + /* (2^277)P */ 0x7f, 0x20, 0x12, 0x0f, 0x40, 0x00, 0x53, 0xd8, 0x0c, 0x27, 0x47, 0x47, 0x22, 0x80, 0xfb, 0x62, 0xe4, 0xa7, 0xf7, 0xbd, 0x42, 0xa5, 0xc3, 0x2b, 0xb2, 0x7f, 0x50, 0xcc, 0xe2, 0xfb, 0xd5, 0xc0, 0x63, 0xdd, 0x24, 0x5f, 0x7c, 0x08, 0x91, 0xbf, 0x6e, 0x47, 0x44, 0xd4, 0x6a, 0xc0, 0xc3, 0x09, 0x39, 0x27, 0xdd, 0xc7, 0xca, 0x06, 0x29, 0x55, + /* (2^278)P */ 0x76, 0x28, 0x58, 0xb0, 0xd2, 0xf3, 0x0f, 0x04, 0xe9, 0xc9, 0xab, 0x66, 0x5b, 0x75, 0x51, 0xdc, 0xe5, 0x8f, 0xe8, 0x1f, 0xdb, 0x03, 0x0f, 0xb0, 0x7d, 0xf9, 0x20, 0x64, 0x89, 0xe9, 0xdc, 0xe6, 0x24, 0xc3, 0xd5, 0xd2, 0x41, 0xa6, 0xe4, 0xe3, 0xc4, 0x79, 0x7c, 0x0f, 0xa1, 0x61, 0x2f, 0xda, 0xa4, 0xc9, 0xfd, 0xad, 0x5c, 0x65, 0x6a, 0xf3, + /* (2^279)P */ 0xd5, 0xab, 0x72, 0x7a, 0x3b, 0x59, 0xea, 0xcf, 0xd5, 0x17, 0xd2, 0xb2, 0x5f, 0x2d, 0xab, 0xad, 0x9e, 0x88, 0x64, 0x55, 0x96, 0x6e, 0xf3, 0x44, 0xa9, 0x11, 0xf5, 0xf8, 0x3a, 0xf1, 0xcd, 0x79, 0x4c, 0x99, 0x6d, 0x23, 0x6a, 0xa0, 0xc2, 0x1a, 0x19, 0x45, 0xb5, 0xd8, 0x95, 0x2f, 0x49, 0xe9, 0x46, 0x39, 0x26, 0x60, 0x04, 0x15, 0x8b, 0xcc, + /* (2^280)P */ 0x66, 0x0c, 0xf0, 0x54, 0x41, 0x02, 0x91, 0xab, 0xe5, 0x85, 0x8a, 0x44, 0xa6, 0x34, 0x96, 0x32, 0xc0, 0xdf, 0x6c, 0x41, 0x39, 0xd4, 0xc6, 0xe1, 0xe3, 0x81, 0xb0, 0x4c, 0x34, 0x4f, 0xe5, 0xf4, 0x35, 0x46, 0x1f, 0xeb, 0x75, 0xfd, 0x43, 0x37, 0x50, 0x99, 0xab, 0xad, 0xb7, 0x8c, 0xa1, 0x57, 0xcb, 0xe6, 0xce, 0x16, 0x2e, 0x85, 0xcc, 0xf9, + /* (2^281)P */ 0x63, 0xd1, 0x3f, 0x9e, 0xa2, 0x17, 0x2e, 0x1d, 0x3e, 0xce, 0x48, 0x2d, 0xbb, 0x8f, 0x69, 0xc9, 0xa6, 0x3d, 0x4e, 0xfe, 0x09, 0x56, 0xb3, 0x02, 0x5f, 0x99, 0x97, 0x0c, 0x54, 0xda, 0x32, 0x97, 0x9b, 0xf4, 0x95, 0xf1, 0xad, 0xe3, 0x2b, 0x04, 0xa7, 0x9b, 0x3f, 0xbb, 0xe7, 0x87, 0x2e, 0x1f, 0x8b, 0x4b, 0x7a, 0xa4, 0x43, 0x0c, 0x0f, 0x35, + /* (2^282)P */ 0x05, 0xdc, 0xe0, 0x2c, 0xa1, 0xc1, 0xd0, 0xf1, 0x1f, 0x4e, 0xc0, 0x6c, 0x35, 0x7b, 0xca, 0x8f, 0x8b, 0x02, 0xb1, 0xf7, 0xd6, 0x2e, 0xe7, 0x93, 0x80, 0x85, 0x18, 0x88, 0x19, 0xb9, 0xb4, 0x4a, 0xbc, 0xeb, 0x5a, 0x78, 0x38, 0xed, 0xc6, 0x27, 0x2a, 0x74, 0x76, 0xf0, 0x1b, 0x79, 0x92, 0x2f, 0xd2, 0x81, 0x98, 0xdf, 0xa9, 0x50, 0x19, 0xeb, + /* (2^283)P */ 0xb5, 0xe7, 0xb4, 0x11, 0x3a, 0x81, 0xb6, 0xb4, 0xf8, 0xa2, 0xb3, 0x6c, 0xfc, 0x9d, 0xe0, 0xc0, 0xe0, 0x59, 0x7f, 0x05, 0x37, 0xef, 0x2c, 0xa9, 0x3a, 0x24, 0xac, 0x7b, 0x25, 0xa0, 0x55, 0xd2, 0x44, 0x82, 0x82, 0x6e, 0x64, 0xa3, 0x58, 0xc8, 0x67, 0xae, 0x26, 0xa7, 0x0f, 0x42, 0x63, 0xe1, 0x93, 0x01, 0x52, 0x19, 0xaf, 0x49, 0x3e, 0x33, + /* (2^284)P */ 0x05, 0x85, 0xe6, 0x66, 0xaf, 0x5f, 0xdf, 0xbf, 0x9d, 0x24, 0x62, 0x60, 0x90, 0xe2, 0x4c, 0x7d, 0x4e, 0xc3, 0x74, 0x5d, 0x4f, 0x53, 0xf3, 0x63, 0x13, 0xf4, 0x74, 0x28, 0x6b, 0x7d, 0x57, 0x0c, 0x9d, 0x84, 0xa7, 0x1a, 0xff, 0xa0, 0x79, 0xdf, 0xfc, 0x65, 0x98, 0x8e, 0x22, 0x0d, 0x62, 0x7e, 0xf2, 0x34, 0x60, 0x83, 0x05, 0x14, 0xb1, 0xc1, + /* (2^285)P */ 0x64, 0x22, 0xcc, 0xdf, 0x5c, 0xbc, 0x88, 0x68, 0x4c, 0xd9, 0xbc, 0x0e, 0xc9, 0x8b, 0xb4, 0x23, 0x52, 0xad, 0xb0, 0xb3, 0xf1, 0x17, 0xd8, 0x15, 0x04, 0x6b, 0x99, 0xf0, 0xc4, 0x7d, 0x48, 0x22, 0x4a, 0xf8, 0x6f, 0xaa, 0x88, 0x0d, 0xc5, 0x5e, 0xa9, 0x1c, 0x61, 0x3d, 0x95, 0xa9, 0x7b, 0x6a, 0x79, 0x33, 0x0a, 0x2b, 0x99, 0xe3, 0x4e, 0x48, + /* (2^286)P */ 0x6b, 0x9b, 0x6a, 0x2a, 0xf1, 0x60, 0x31, 0xb4, 0x73, 0xd1, 0x87, 0x45, 0x9c, 0x15, 0x58, 0x4b, 0x91, 0x6d, 0x94, 0x1c, 0x41, 0x11, 0x4a, 0x83, 0xec, 0xaf, 0x65, 0xbc, 0x34, 0xaa, 0x26, 0xe2, 0xaf, 0xed, 0x46, 0x05, 0x4e, 0xdb, 0xc6, 0x4e, 0x10, 0x28, 0x4e, 0x72, 0xe5, 0x31, 0xa3, 0x20, 0xd7, 0xb1, 0x96, 0x64, 0xf6, 0xce, 0x08, 0x08, + /* (2^287)P */ 0x16, 0xa9, 0x5c, 0x9f, 0x9a, 0xb4, 0xb8, 0xc8, 0x32, 0x78, 0xc0, 0x3a, 0xd9, 0x5f, 0x94, 0xac, 0x3a, 0x42, 0x1f, 0x43, 0xd6, 0x80, 0x47, 0x2c, 0xdc, 0x76, 0x27, 0xfa, 0x50, 0xe5, 0xa1, 0xe4, 0xc3, 0xcb, 0x61, 0x31, 0xe1, 0x2e, 0xde, 0x81, 0x3b, 0x77, 0x1c, 0x39, 0x3c, 0xdb, 0xda, 0x87, 0x4b, 0x84, 0x12, 0xeb, 0xdd, 0x54, 0xbf, 0xe7, + /* (2^288)P */ 0xbf, 0xcb, 0x73, 0x21, 0x3d, 0x7e, 0x13, 0x8c, 0xa6, 0x34, 0x21, 0x2b, 0xa5, 0xe4, 0x9f, 0x8e, 0x9c, 0x01, 0x9c, 0x43, 0xd9, 0xc7, 0xb9, 0xf1, 0xbe, 0x7f, 0x45, 0x51, 0x97, 0xa1, 0x8e, 0x01, 0xf8, 0xbd, 0xd2, 0xbf, 0x81, 0x3a, 0x8b, 0xab, 0xe4, 0x89, 0xb7, 0xbd, 0xf2, 0xcd, 0xa9, 0x8a, 0x8a, 0xde, 0xfb, 0x8a, 0x55, 0x12, 0x7b, 0x17, + /* (2^289)P */ 0x1b, 0x95, 0x58, 0x4d, 0xe6, 0x51, 0x31, 0x52, 0x1c, 0xd8, 0x15, 0x84, 0xb1, 0x0d, 0x36, 0x25, 0x88, 0x91, 0x46, 0x71, 0x42, 0x56, 0xe2, 0x90, 0x08, 0x9e, 0x77, 0x1b, 0xee, 0x22, 0x3f, 0xec, 0xee, 0x8c, 0x7b, 0x2e, 0x79, 0xc4, 0x6c, 0x07, 0xa1, 0x7e, 0x52, 0xf5, 0x26, 0x5c, 0x84, 0x2a, 0x50, 0x6e, 0x82, 0xb3, 0x76, 0xda, 0x35, 0x16, + /* (2^290)P */ 0x0a, 0x6f, 0x99, 0x87, 0xc0, 0x7d, 0x8a, 0xb2, 0xca, 0xae, 0xe8, 0x65, 0x98, 0x0f, 0xb3, 0x44, 0xe1, 0xdc, 0x52, 0x79, 0x75, 0xec, 0x8f, 0x95, 0x87, 0x45, 0xd1, 0x32, 0x18, 0x55, 0x15, 0xce, 0x64, 0x9b, 0x08, 0x4f, 0x2c, 0xea, 0xba, 0x1c, 0x57, 0x06, 0x63, 0xc8, 0xb1, 0xfd, 0xc5, 0x67, 0xe7, 0x1f, 0x87, 0x9e, 0xde, 0x72, 0x7d, 0xec, + /* (2^291)P */ 0x36, 0x8b, 0x4d, 0x2c, 0xc2, 0x46, 0xe8, 0x96, 0xac, 0x0b, 0x8c, 0xc5, 0x09, 0x10, 0xfc, 0xf2, 0xda, 0xea, 0x22, 0xb2, 0xd3, 0x89, 0xeb, 0xb2, 0x85, 0x0f, 0xff, 0x59, 0x50, 0x2c, 0x99, 0x5a, 0x1f, 0xec, 0x2a, 0x6f, 0xec, 0xcf, 0xe9, 0xce, 0x12, 0x6b, 0x19, 0xd8, 0xde, 0x9b, 0xce, 0x0e, 0x6a, 0xaa, 0xe1, 0x32, 0xea, 0x4c, 0xfe, 0x92, + /* (2^292)P */ 0x5f, 0x17, 0x70, 0x53, 0x26, 0x03, 0x0b, 0xab, 0xd1, 0xc1, 0x42, 0x0b, 0xab, 0x2b, 0x3d, 0x31, 0xa4, 0xd5, 0x2b, 0x5e, 0x00, 0xd5, 0x9a, 0x22, 0x34, 0xe0, 0x53, 0x3f, 0x59, 0x7f, 0x2c, 0x6d, 0x72, 0x9a, 0xa4, 0xbe, 0x3d, 0x42, 0x05, 0x1b, 0xf2, 0x7f, 0x88, 0x56, 0xd1, 0x7c, 0x7d, 0x6b, 0x9f, 0x43, 0xfe, 0x65, 0x19, 0xae, 0x9c, 0x4c, + /* (2^293)P */ 0xf3, 0x7c, 0x20, 0xa9, 0xfc, 0xf2, 0xf2, 0x3b, 0x3c, 0x57, 0x41, 0x94, 0xe5, 0xcc, 0x6a, 0x37, 0x5d, 0x09, 0xf2, 0xab, 0xc2, 0xca, 0x60, 0x38, 0x6b, 0x7a, 0xe1, 0x78, 0x2b, 0xc1, 0x1d, 0xe8, 0xfd, 0xbc, 0x3d, 0x5c, 0xa2, 0xdb, 0x49, 0x20, 0x79, 0xe6, 0x1b, 0x9b, 0x65, 0xd9, 0x6d, 0xec, 0x57, 0x1d, 0xd2, 0xe9, 0x90, 0xeb, 0x43, 0x7b, + /* (2^294)P */ 0x2a, 0x8b, 0x2e, 0x19, 0x18, 0x10, 0xb8, 0x83, 0xe7, 0x7d, 0x2d, 0x9a, 0x3a, 0xe5, 0xd1, 0xe4, 0x7c, 0x38, 0xe5, 0x59, 0x2a, 0x6e, 0xd9, 0x01, 0x29, 0x3d, 0x23, 0xf7, 0x52, 0xba, 0x61, 0x04, 0x9a, 0xde, 0xc4, 0x31, 0x50, 0xeb, 0x1b, 0xaa, 0xde, 0x39, 0x58, 0xd8, 0x1b, 0x1e, 0xfc, 0x57, 0x9a, 0x28, 0x43, 0x9e, 0x97, 0x5e, 0xaa, 0xa3, + /* (2^295)P */ 0x97, 0x0a, 0x74, 0xc4, 0x39, 0x99, 0x6b, 0x40, 0xc7, 0x3e, 0x8c, 0xa7, 0xb1, 0x4e, 0x9a, 0x59, 0x6e, 0x1c, 0xfe, 0xfc, 0x2a, 0x5e, 0x73, 0x2b, 0x8c, 0xa9, 0x71, 0xf5, 0xda, 0x6b, 0x15, 0xab, 0xf7, 0xbe, 0x2a, 0x44, 0x5f, 0xba, 0xae, 0x67, 0x93, 0xc5, 0x86, 0xc1, 0xb8, 0xdf, 0xdc, 0xcb, 0xd7, 0xff, 0xb1, 0x71, 0x7c, 0x6f, 0x88, 0xf8, + /* (2^296)P */ 0x3f, 0x89, 0xb1, 0xbf, 0x24, 0x16, 0xac, 0x56, 0xfe, 0xdf, 0x94, 0x71, 0xbf, 0xd6, 0x57, 0x0c, 0xb4, 0x77, 0x37, 0xaa, 0x2a, 0x70, 0x76, 0x49, 0xaf, 0x0c, 0x97, 0x8e, 0x78, 0x2a, 0x67, 0xc9, 0x3b, 0x3d, 0x5b, 0x01, 0x2f, 0xda, 0xd5, 0xa8, 0xde, 0x02, 0xa9, 0xac, 0x76, 0x00, 0x0b, 0x46, 0xc6, 0x2d, 0xdc, 0x08, 0xf4, 0x10, 0x2c, 0xbe, + /* (2^297)P */ 0xcb, 0x07, 0xf9, 0x91, 0xc6, 0xd5, 0x3e, 0x54, 0x63, 0xae, 0xfc, 0x10, 0xbe, 0x3a, 0x20, 0x73, 0x4e, 0x65, 0x0e, 0x2d, 0x86, 0x77, 0x83, 0x9d, 0xe2, 0x0a, 0xe9, 0xac, 0x22, 0x52, 0x76, 0xd4, 0x6e, 0xfa, 0xe0, 0x09, 0xef, 0x78, 0x82, 0x9f, 0x26, 0xf9, 0x06, 0xb5, 0xe7, 0x05, 0x0e, 0xf2, 0x46, 0x72, 0x93, 0xd3, 0x24, 0xbd, 0x87, 0x60, + /* (2^298)P */ 0x14, 0x55, 0x84, 0x7b, 0x6c, 0x60, 0x80, 0x73, 0x8c, 0xbe, 0x2d, 0xd6, 0x69, 0xd6, 0x17, 0x26, 0x44, 0x9f, 0x88, 0xa2, 0x39, 0x7c, 0x89, 0xbc, 0x6d, 0x9e, 0x46, 0xb6, 0x68, 0x66, 0xea, 0xdc, 0x31, 0xd6, 0x21, 0x51, 0x9f, 0x28, 0x28, 0xaf, 0x9e, 0x47, 0x2c, 0x4c, 0x8f, 0xf3, 0xaf, 0x1f, 0xe4, 0xab, 0xac, 0xe9, 0x0c, 0x91, 0x3a, 0x61, + /* (2^299)P */ 0xb0, 0x37, 0x55, 0x4b, 0xe9, 0xc3, 0xb1, 0xce, 0x42, 0xe6, 0xc5, 0x11, 0x7f, 0x2c, 0x11, 0xfc, 0x4e, 0x71, 0x17, 0x00, 0x74, 0x7f, 0xbf, 0x07, 0x4d, 0xfd, 0x40, 0xb2, 0x87, 0xb0, 0xef, 0x1f, 0x35, 0x2c, 0x2d, 0xd7, 0xe1, 0xe4, 0xad, 0x0e, 0x7f, 0x63, 0x66, 0x62, 0x23, 0x41, 0xf6, 0xc1, 0x14, 0xa6, 0xd7, 0xa9, 0x11, 0x56, 0x9d, 0x1b, + /* (2^300)P */ 0x02, 0x82, 0x42, 0x18, 0x4f, 0x1b, 0xc9, 0x5d, 0x78, 0x5f, 0xee, 0xed, 0x01, 0x49, 0x8f, 0xf2, 0xa0, 0xe2, 0x6e, 0xbb, 0x6b, 0x04, 0x8d, 0xb2, 0x41, 0xae, 0xc8, 0x1b, 0x59, 0x34, 0xb8, 0x2a, 0xdb, 0x1f, 0xd2, 0x52, 0xdf, 0x3f, 0x35, 0x00, 0x8b, 0x61, 0xbc, 0x97, 0xa0, 0xc4, 0x77, 0xd1, 0xe4, 0x2c, 0x59, 0x68, 0xff, 0x30, 0xf2, 0xe2, + /* (2^301)P */ 0x79, 0x08, 0xb1, 0xdb, 0x55, 0xae, 0xd0, 0xed, 0xda, 0xa0, 0xec, 0x6c, 0xae, 0x68, 0xf2, 0x0b, 0x61, 0xb3, 0xf5, 0x21, 0x69, 0x87, 0x0b, 0x03, 0xea, 0x8a, 0x15, 0xd9, 0x7e, 0xca, 0xf7, 0xcd, 0xf3, 0x33, 0xb3, 0x4c, 0x5b, 0x23, 0x4e, 0x6f, 0x90, 0xad, 0x91, 0x4b, 0x4f, 0x46, 0x37, 0xe5, 0xe8, 0xb7, 0xeb, 0xd5, 0xca, 0x34, 0x4e, 0x23, + /* (2^302)P */ 0x09, 0x02, 0xdd, 0xfd, 0x70, 0xac, 0x56, 0x80, 0x36, 0x5e, 0x49, 0xd0, 0x3f, 0xc2, 0xe0, 0xba, 0x46, 0x7f, 0x5c, 0xf7, 0xc5, 0xbd, 0xd5, 0x55, 0x7d, 0x3f, 0xd5, 0x7d, 0x06, 0xdf, 0x27, 0x20, 0x4f, 0xe9, 0x30, 0xec, 0x1b, 0xa0, 0x0c, 0xd4, 0x2c, 0xe1, 0x2b, 0x65, 0x73, 0xea, 0x75, 0x35, 0xe8, 0xe6, 0x56, 0xd6, 0x07, 0x15, 0x99, 0xdf, + /* (2^303)P */ 0x4e, 0x10, 0xb7, 0xd0, 0x63, 0x8c, 0xcf, 0x16, 0x00, 0x7c, 0x58, 0xdf, 0x86, 0xdc, 0x4e, 0xca, 0x9c, 0x40, 0x5a, 0x42, 0xfd, 0xec, 0x98, 0xa4, 0x42, 0x53, 0xae, 0x16, 0x9d, 0xfd, 0x75, 0x5a, 0x12, 0x56, 0x1e, 0xc6, 0x57, 0xcc, 0x79, 0x27, 0x96, 0x00, 0xcf, 0x80, 0x4f, 0x8a, 0x36, 0x5c, 0xbb, 0xe9, 0x12, 0xdb, 0xb6, 0x2b, 0xad, 0x96, + /* (2^304)P */ 0x92, 0x32, 0x1f, 0xfd, 0xc6, 0x02, 0x94, 0x08, 0x1b, 0x60, 0x6a, 0x9f, 0x8b, 0xd6, 0xc8, 0xad, 0xd5, 0x1b, 0x27, 0x4e, 0xa4, 0x4d, 0x4a, 0x00, 0x10, 0x5f, 0x86, 0x11, 0xf5, 0xe3, 0x14, 0x32, 0x43, 0xee, 0xb9, 0xc7, 0xab, 0xf4, 0x6f, 0xe5, 0x66, 0x0c, 0x06, 0x0d, 0x96, 0x79, 0x28, 0xaf, 0x45, 0x2b, 0x56, 0xbe, 0xe4, 0x4a, 0x52, 0xd6, + /* (2^305)P */ 0x15, 0x16, 0x69, 0xef, 0x60, 0xca, 0x82, 0x25, 0x0f, 0xc6, 0x30, 0xa0, 0x0a, 0xd1, 0x83, 0x29, 0xcd, 0xb6, 0x89, 0x6c, 0xf5, 0xb2, 0x08, 0x38, 0xe6, 0xca, 0x6b, 0x19, 0x93, 0xc6, 0x5f, 0x75, 0x8e, 0x60, 0x34, 0x23, 0xc4, 0x13, 0x17, 0x69, 0x55, 0xcc, 0x72, 0x9c, 0x2b, 0x6c, 0x80, 0xf4, 0x4b, 0x8b, 0xb6, 0x97, 0x65, 0x07, 0xb6, 0xfb, + /* (2^306)P */ 0x01, 0x99, 0x74, 0x28, 0xa6, 0x67, 0xa3, 0xe5, 0x25, 0xfb, 0xdf, 0x82, 0x93, 0xe7, 0x35, 0x74, 0xce, 0xe3, 0x15, 0x1c, 0x1d, 0x79, 0x52, 0x84, 0x08, 0x04, 0x2f, 0x5c, 0xb8, 0xcd, 0x7f, 0x89, 0xb0, 0x39, 0x93, 0x63, 0xc9, 0x5d, 0x06, 0x01, 0x59, 0xf7, 0x7e, 0xf1, 0x4c, 0x3d, 0x12, 0x8d, 0x69, 0x1d, 0xb7, 0x21, 0x5e, 0x88, 0x82, 0xa2, + /* (2^307)P */ 0x8e, 0x69, 0xaf, 0x9a, 0x41, 0x0d, 0x9d, 0xcf, 0x8e, 0x8d, 0x5c, 0x51, 0x6e, 0xde, 0x0e, 0x48, 0x23, 0x89, 0xe5, 0x37, 0x80, 0xd6, 0x9d, 0x72, 0x32, 0x26, 0x38, 0x2d, 0x63, 0xa0, 0xfa, 0xd3, 0x40, 0xc0, 0x8c, 0x68, 0x6f, 0x2b, 0x1e, 0x9a, 0x39, 0x51, 0x78, 0x74, 0x9a, 0x7b, 0x4a, 0x8f, 0x0c, 0xa0, 0x88, 0x60, 0xa5, 0x21, 0xcd, 0xc7, + /* (2^308)P */ 0x3a, 0x7f, 0x73, 0x14, 0xbf, 0x89, 0x6a, 0x4c, 0x09, 0x5d, 0xf2, 0x93, 0x20, 0x2d, 0xc4, 0x29, 0x86, 0x06, 0x95, 0xab, 0x22, 0x76, 0x4c, 0x54, 0xe1, 0x7e, 0x80, 0x6d, 0xab, 0x29, 0x61, 0x87, 0x77, 0xf6, 0xc0, 0x3e, 0xda, 0xab, 0x65, 0x7e, 0x39, 0x12, 0xa1, 0x6b, 0x42, 0xf7, 0xc5, 0x97, 0x77, 0xec, 0x6f, 0x22, 0xbe, 0x44, 0xc7, 0x03, + /* (2^309)P */ 0xa5, 0x23, 0x90, 0x41, 0xa3, 0xc5, 0x3e, 0xe0, 0xa5, 0x32, 0x49, 0x1f, 0x39, 0x78, 0xb1, 0xd8, 0x24, 0xea, 0xd4, 0x87, 0x53, 0x42, 0x51, 0xf4, 0xd9, 0x46, 0x25, 0x2f, 0x62, 0xa9, 0x90, 0x9a, 0x4a, 0x25, 0x8a, 0xd2, 0x10, 0xe7, 0x3c, 0xbc, 0x58, 0x8d, 0x16, 0x14, 0x96, 0xa4, 0x6f, 0xf8, 0x12, 0x69, 0x91, 0x73, 0xe2, 0xfa, 0xf4, 0x57, + /* (2^310)P */ 0x51, 0x45, 0x3f, 0x96, 0xdc, 0x97, 0x38, 0xa6, 0x01, 0x63, 0x09, 0xea, 0xc2, 0x13, 0x30, 0xb0, 0x00, 0xb8, 0x0a, 0xce, 0xd1, 0x8f, 0x3e, 0x69, 0x62, 0x46, 0x33, 0x9c, 0xbf, 0x4b, 0xcb, 0x0c, 0x90, 0x1c, 0x45, 0xcf, 0x37, 0x5b, 0xf7, 0x4b, 0x5e, 0x95, 0xc3, 0x28, 0x9f, 0x08, 0x83, 0x53, 0x74, 0xab, 0x0c, 0xb4, 0xc0, 0xa1, 0xbc, 0x89, + /* (2^311)P */ 0x06, 0xb1, 0x51, 0x15, 0x65, 0x60, 0x21, 0x17, 0x7a, 0x20, 0x65, 0xee, 0x12, 0x35, 0x4d, 0x46, 0xf4, 0xf8, 0xd0, 0xb1, 0xca, 0x09, 0x30, 0x08, 0x89, 0x23, 0x3b, 0xe7, 0xab, 0x8b, 0x77, 0xa6, 0xad, 0x25, 0xdd, 0xea, 0x3c, 0x7d, 0xa5, 0x24, 0xb3, 0xe8, 0xfa, 0xfb, 0xc9, 0xf2, 0x71, 0xe9, 0xfa, 0xf2, 0xdc, 0x54, 0xdd, 0x55, 0x2e, 0x2f, + /* (2^312)P */ 0x7f, 0x96, 0x96, 0xfb, 0x52, 0x86, 0xcf, 0xea, 0x62, 0x18, 0xf1, 0x53, 0x1f, 0x61, 0x2a, 0x9f, 0x8c, 0x51, 0xca, 0x2c, 0xde, 0x6d, 0xce, 0xab, 0x58, 0x32, 0x0b, 0x33, 0x9b, 0x99, 0xb4, 0x5c, 0x88, 0x2a, 0x76, 0xcc, 0x3e, 0x54, 0x1e, 0x9d, 0xa2, 0x89, 0xe4, 0x19, 0xba, 0x80, 0xc8, 0x39, 0x32, 0x7f, 0x0f, 0xc7, 0x84, 0xbb, 0x43, 0x56, + /* (2^313)P */ 0x9b, 0x07, 0xb4, 0x42, 0xa9, 0xa0, 0x78, 0x4f, 0x28, 0x70, 0x2b, 0x7e, 0x61, 0xe0, 0xdd, 0x02, 0x98, 0xfc, 0xed, 0x31, 0x80, 0xf1, 0x15, 0x52, 0x89, 0x23, 0xcd, 0x5d, 0x2b, 0xc5, 0x19, 0x32, 0xfb, 0x70, 0x50, 0x7a, 0x97, 0x6b, 0x42, 0xdb, 0xca, 0xdb, 0xc4, 0x59, 0x99, 0xe0, 0x12, 0x1f, 0x17, 0xba, 0x8b, 0xf0, 0xc4, 0x38, 0x5d, 0x27, + /* (2^314)P */ 0x29, 0x1d, 0xdc, 0x2b, 0xf6, 0x5b, 0x04, 0x61, 0x36, 0x76, 0xa0, 0x56, 0x36, 0x6e, 0xd7, 0x24, 0x4d, 0xe7, 0xef, 0x44, 0xd2, 0xd5, 0x07, 0xcd, 0xc4, 0x9d, 0x80, 0x48, 0xc3, 0x38, 0xcf, 0xd8, 0xa3, 0xdd, 0xb2, 0x5e, 0xb5, 0x70, 0x15, 0xbb, 0x36, 0x85, 0x8a, 0xd7, 0xfb, 0x56, 0x94, 0x73, 0x9c, 0x81, 0xbe, 0xb1, 0x44, 0x28, 0xf1, 0x37, + /* (2^315)P */ 0xbf, 0xcf, 0x5c, 0xd2, 0xe2, 0xea, 0xc2, 0xcd, 0x70, 0x7a, 0x9d, 0xcb, 0x81, 0xc1, 0xe9, 0xf1, 0x56, 0x71, 0x52, 0xf7, 0x1b, 0x87, 0xc6, 0xd8, 0xcc, 0xb2, 0x69, 0xf3, 0xb0, 0xbd, 0xba, 0x83, 0x12, 0x26, 0xc4, 0xce, 0x72, 0xde, 0x3b, 0x21, 0x28, 0x9e, 0x5a, 0x94, 0xf5, 0x04, 0xa3, 0xc8, 0x0f, 0x5e, 0xbc, 0x71, 0xf9, 0x0d, 0xce, 0xf5, + /* (2^316)P */ 0x93, 0x97, 0x00, 0x85, 0xf4, 0xb4, 0x40, 0xec, 0xd9, 0x2b, 0x6c, 0xd6, 0x63, 0x9e, 0x93, 0x0a, 0x5a, 0xf4, 0xa7, 0x9a, 0xe3, 0x3c, 0xf0, 0x55, 0xd1, 0x96, 0x6c, 0xf5, 0x2a, 0xce, 0xd7, 0x95, 0x72, 0xbf, 0xc5, 0x0c, 0xce, 0x79, 0xa2, 0x0a, 0x78, 0xe0, 0x72, 0xd0, 0x66, 0x28, 0x05, 0x75, 0xd3, 0x23, 0x09, 0x91, 0xed, 0x7e, 0xc4, 0xbc, + /* (2^317)P */ 0x77, 0xc2, 0x9a, 0xf7, 0xa6, 0xe6, 0x18, 0xb4, 0xe7, 0xf6, 0xda, 0xec, 0x44, 0x6d, 0xfb, 0x08, 0xee, 0x65, 0xa8, 0x92, 0x85, 0x1f, 0xba, 0x38, 0x93, 0x20, 0x5c, 0x4d, 0xd2, 0x18, 0x0f, 0x24, 0xbe, 0x1a, 0x96, 0x44, 0x7d, 0xeb, 0xb3, 0xda, 0x95, 0xf4, 0xaf, 0x6c, 0x06, 0x0f, 0x47, 0x37, 0xc8, 0x77, 0x63, 0xe1, 0x29, 0xef, 0xff, 0xa5, + /* (2^318)P */ 0x16, 0x12, 0xd9, 0x47, 0x90, 0x22, 0x9b, 0x05, 0xf2, 0xa5, 0x9a, 0xae, 0x83, 0x98, 0xb5, 0xac, 0xab, 0x29, 0xaa, 0xdc, 0x5f, 0xde, 0xcd, 0xf7, 0x42, 0xad, 0x3b, 0x96, 0xd6, 0x3e, 0x6e, 0x52, 0x47, 0xb1, 0xab, 0x51, 0xde, 0x49, 0x7c, 0x87, 0x8d, 0x86, 0xe2, 0x70, 0x13, 0x21, 0x51, 0x1c, 0x0c, 0x25, 0xc1, 0xb0, 0xe6, 0x19, 0xcf, 0x12, + /* (2^319)P */ 0xf0, 0xbc, 0x97, 0x8f, 0x4b, 0x2f, 0xd1, 0x1f, 0x8c, 0x57, 0xed, 0x3c, 0xf4, 0x26, 0x19, 0xbb, 0x60, 0xca, 0x24, 0xc5, 0xd9, 0x97, 0xe2, 0x5f, 0x76, 0x49, 0x39, 0x7e, 0x2d, 0x12, 0x21, 0x98, 0xda, 0xe6, 0xdb, 0xd2, 0xd8, 0x9f, 0x18, 0xd8, 0x83, 0x6c, 0xba, 0x89, 0x8d, 0x29, 0xfa, 0x46, 0x33, 0x8c, 0x28, 0xdf, 0x6a, 0xb3, 0x69, 0x28, + /* (2^320)P */ 0x86, 0x17, 0xbc, 0xd6, 0x7c, 0xba, 0x1e, 0x83, 0xbb, 0x84, 0xb5, 0x8c, 0xad, 0xdf, 0xa1, 0x24, 0x81, 0x70, 0x40, 0x0f, 0xad, 0xad, 0x3b, 0x23, 0xd0, 0x93, 0xa0, 0x49, 0x5c, 0x4b, 0x51, 0xbe, 0x20, 0x49, 0x4e, 0xda, 0x2d, 0xd3, 0xad, 0x1b, 0x74, 0x08, 0x41, 0xf0, 0xef, 0x19, 0xe9, 0x45, 0x5d, 0x02, 0xae, 0x26, 0x25, 0xd9, 0xd1, 0xc2, + /* (2^321)P */ 0x48, 0x81, 0x3e, 0xb2, 0x83, 0xf8, 0x4d, 0xb3, 0xd0, 0x4c, 0x75, 0xb3, 0xa0, 0x52, 0x26, 0xf2, 0xaf, 0x5d, 0x36, 0x70, 0x72, 0xd6, 0xb7, 0x88, 0x08, 0x69, 0xbd, 0x15, 0x25, 0xb1, 0x45, 0x1b, 0xb7, 0x0b, 0x5f, 0x71, 0x5d, 0x83, 0x49, 0xb9, 0x84, 0x3b, 0x7c, 0xc1, 0x50, 0x93, 0x05, 0x53, 0xe0, 0x61, 0xea, 0xc1, 0xef, 0xdb, 0x82, 0x97, + /* (2^322)P */ 0x00, 0xd5, 0xc3, 0x3a, 0x4d, 0x8a, 0x23, 0x7a, 0xef, 0xff, 0x37, 0xef, 0xf3, 0xbc, 0xa9, 0xb6, 0xae, 0xd7, 0x3a, 0x7b, 0xfd, 0x3e, 0x8e, 0x9b, 0xab, 0x44, 0x54, 0x60, 0x28, 0x6c, 0xbf, 0x15, 0x24, 0x4a, 0x56, 0x60, 0x7f, 0xa9, 0x7a, 0x28, 0x59, 0x2c, 0x8a, 0xd1, 0x7d, 0x6b, 0x00, 0xfd, 0xa5, 0xad, 0xbc, 0x19, 0x3f, 0xcb, 0x73, 0xe0, + /* (2^323)P */ 0xcf, 0x9e, 0x66, 0x06, 0x4d, 0x2b, 0xf5, 0x9c, 0xc2, 0x9d, 0x9e, 0xed, 0x5a, 0x5c, 0x2d, 0x00, 0xbf, 0x29, 0x90, 0x88, 0xe4, 0x5d, 0xfd, 0xe2, 0xf0, 0x38, 0xec, 0x4d, 0x26, 0xea, 0x54, 0xf0, 0x3c, 0x84, 0x10, 0x6a, 0xf9, 0x66, 0x9c, 0xe7, 0x21, 0xfd, 0x0f, 0xc7, 0x13, 0x50, 0x81, 0xb6, 0x50, 0xf9, 0x04, 0x7f, 0xa4, 0x37, 0x85, 0x14, + /* (2^324)P */ 0xdb, 0x87, 0x49, 0xc7, 0xa8, 0x39, 0x0c, 0x32, 0x98, 0x0c, 0xb9, 0x1a, 0x1b, 0x4d, 0xe0, 0x8a, 0x9a, 0x8e, 0x8f, 0xab, 0x5a, 0x17, 0x3d, 0x04, 0x21, 0xce, 0x3e, 0x2c, 0xf9, 0xa3, 0x97, 0xe4, 0x77, 0x95, 0x0e, 0xb6, 0xa5, 0x15, 0xad, 0x3a, 0x1e, 0x46, 0x53, 0x17, 0x09, 0x83, 0x71, 0x4e, 0x86, 0x38, 0xd5, 0x23, 0x44, 0x16, 0x8d, 0xc8, + /* (2^325)P */ 0x05, 0x5e, 0x99, 0x08, 0xbb, 0xc3, 0xc0, 0xb7, 0x6c, 0x12, 0xf2, 0xf3, 0xf4, 0x7c, 0x6a, 0x4d, 0x9e, 0xeb, 0x3d, 0xb9, 0x63, 0x94, 0xce, 0x81, 0xd8, 0x11, 0xcb, 0x55, 0x69, 0x4a, 0x20, 0x0b, 0x4c, 0x2e, 0x14, 0xb8, 0xd4, 0x6a, 0x7c, 0xf0, 0xed, 0xfc, 0x8f, 0xef, 0xa0, 0xeb, 0x6c, 0x01, 0xe2, 0xdc, 0x10, 0x22, 0xa2, 0x01, 0x85, 0x64, + /* (2^326)P */ 0x58, 0xe1, 0x9c, 0x27, 0x55, 0xc6, 0x25, 0xa6, 0x7d, 0x67, 0x88, 0x65, 0x99, 0x6c, 0xcb, 0xdb, 0x27, 0x4f, 0x44, 0x29, 0xf5, 0x4a, 0x23, 0x10, 0xbc, 0x03, 0x3f, 0x36, 0x1e, 0xef, 0xb0, 0xba, 0x75, 0xe8, 0x74, 0x5f, 0x69, 0x3e, 0x26, 0x40, 0xb4, 0x2f, 0xdc, 0x43, 0xbf, 0xa1, 0x8b, 0xbd, 0xca, 0x6e, 0xc1, 0x6e, 0x21, 0x79, 0xa0, 0xd0, + /* (2^327)P */ 0x78, 0x93, 0x4a, 0x2d, 0x22, 0x6e, 0x6e, 0x7d, 0x74, 0xd2, 0x66, 0x58, 0xce, 0x7b, 0x1d, 0x97, 0xb1, 0xf2, 0xda, 0x1c, 0x79, 0xfb, 0xba, 0xd1, 0xc0, 0xc5, 0x6e, 0xc9, 0x11, 0x89, 0xd2, 0x41, 0x8d, 0x70, 0xb9, 0xcc, 0xea, 0x6a, 0xb3, 0x45, 0xb6, 0x05, 0x2e, 0xf2, 0x17, 0xf1, 0x27, 0xb8, 0xed, 0x06, 0x1f, 0xdb, 0x9d, 0x1f, 0x69, 0x28, + /* (2^328)P */ 0x93, 0x12, 0xa8, 0x11, 0xe1, 0x92, 0x30, 0x8d, 0xac, 0xe1, 0x1c, 0x60, 0x7c, 0xed, 0x2d, 0x2e, 0xd3, 0x03, 0x5c, 0x9c, 0xc5, 0xbd, 0x64, 0x4a, 0x8c, 0xba, 0x76, 0xfe, 0xc6, 0xc1, 0xea, 0xc2, 0x4f, 0xbe, 0x70, 0x3d, 0x64, 0xcf, 0x8e, 0x18, 0xcb, 0xcd, 0x57, 0xa7, 0xf7, 0x36, 0xa9, 0x6b, 0x3e, 0xb8, 0x69, 0xee, 0x47, 0xa2, 0x7e, 0xb2, + /* (2^329)P */ 0x96, 0xaf, 0x3a, 0xf5, 0xed, 0xcd, 0xaf, 0xf7, 0x82, 0xaf, 0x59, 0x62, 0x0b, 0x36, 0x85, 0xf9, 0xaf, 0xd6, 0x38, 0xff, 0x87, 0x2e, 0x1d, 0x6c, 0x8b, 0xaf, 0x3b, 0xdf, 0x28, 0xa2, 0xd6, 0x4d, 0x80, 0x92, 0xc3, 0x0f, 0x34, 0xa8, 0xae, 0x69, 0x5d, 0x7b, 0x9d, 0xbc, 0xf5, 0xfd, 0x1d, 0xb1, 0x96, 0x55, 0x86, 0xe1, 0x5c, 0xb6, 0xac, 0xb9, + /* (2^330)P */ 0x50, 0x9e, 0x37, 0x28, 0x7d, 0xa8, 0x33, 0x63, 0xda, 0x3f, 0x20, 0x98, 0x0e, 0x09, 0xa8, 0x77, 0x3b, 0x7a, 0xfc, 0x16, 0x85, 0x44, 0x64, 0x77, 0x65, 0x68, 0x92, 0x41, 0xc6, 0x1f, 0xdf, 0x27, 0xf9, 0xec, 0xa0, 0x61, 0x22, 0xea, 0x19, 0xe7, 0x75, 0x8b, 0x4e, 0xe5, 0x0f, 0xb7, 0xf7, 0xd2, 0x53, 0xf4, 0xdd, 0x4a, 0xaa, 0x78, 0x40, 0xb7, + /* (2^331)P */ 0xd4, 0x89, 0xe3, 0x79, 0xba, 0xb6, 0xc3, 0xda, 0xe6, 0x78, 0x65, 0x7d, 0x6e, 0x22, 0x62, 0xb1, 0x3d, 0xea, 0x90, 0x84, 0x30, 0x5e, 0xd4, 0x39, 0x84, 0x78, 0xd9, 0x75, 0xd6, 0xce, 0x2a, 0x11, 0x29, 0x69, 0xa4, 0x5e, 0xaa, 0x2a, 0x98, 0x5a, 0xe5, 0x91, 0x8f, 0xb2, 0xfb, 0xda, 0x97, 0xe8, 0x83, 0x6f, 0x04, 0xb9, 0x5d, 0xaf, 0xe1, 0x9b, + /* (2^332)P */ 0x8b, 0xe4, 0xe1, 0x48, 0x9c, 0xc4, 0x83, 0x89, 0xdf, 0x65, 0xd3, 0x35, 0x55, 0x13, 0xf4, 0x1f, 0x36, 0x92, 0x33, 0x38, 0xcb, 0xed, 0x15, 0xe6, 0x60, 0x2d, 0x25, 0xf5, 0x36, 0x60, 0x3a, 0x37, 0x9b, 0x71, 0x9d, 0x42, 0xb0, 0x14, 0xc8, 0xba, 0x62, 0xa3, 0x49, 0xb0, 0x88, 0xc1, 0x72, 0x73, 0xdd, 0x62, 0x40, 0xa9, 0x62, 0x88, 0x99, 0xca, + /* (2^333)P */ 0x47, 0x7b, 0xea, 0xda, 0x46, 0x2f, 0x45, 0xc6, 0xe3, 0xb4, 0x4d, 0x8d, 0xac, 0x0b, 0x54, 0x22, 0x06, 0x31, 0x16, 0x66, 0x3e, 0xe4, 0x38, 0x12, 0xcd, 0xf3, 0xe7, 0x99, 0x37, 0xd9, 0x62, 0x24, 0x4b, 0x05, 0xf2, 0x58, 0xe6, 0x29, 0x4b, 0x0d, 0xf6, 0xc1, 0xba, 0xa0, 0x1e, 0x0f, 0xcb, 0x1f, 0xc6, 0x2b, 0x19, 0xfc, 0x82, 0x01, 0xd0, 0x86, + /* (2^334)P */ 0xa2, 0xae, 0x77, 0x20, 0xfb, 0xa8, 0x18, 0xb4, 0x61, 0xef, 0xe8, 0x52, 0x79, 0xbb, 0x86, 0x90, 0x5d, 0x2e, 0x76, 0xed, 0x66, 0x60, 0x5d, 0x00, 0xb5, 0xa4, 0x00, 0x40, 0x89, 0xec, 0xd1, 0xd2, 0x0d, 0x26, 0xb9, 0x30, 0xb2, 0xd2, 0xb8, 0xe8, 0x0e, 0x56, 0xf9, 0x67, 0x94, 0x2e, 0x62, 0xe1, 0x79, 0x48, 0x2b, 0xa9, 0xfa, 0xea, 0xdb, 0x28, + /* (2^335)P */ 0x35, 0xf1, 0xb0, 0x43, 0xbd, 0x27, 0xef, 0x18, 0x44, 0xa2, 0x04, 0xb4, 0x69, 0xa1, 0x97, 0x1f, 0x8c, 0x04, 0x82, 0x9b, 0x00, 0x6d, 0xf8, 0xbf, 0x7d, 0xc1, 0x5b, 0xab, 0xe8, 0xb2, 0x34, 0xbd, 0xaf, 0x7f, 0xb2, 0x0d, 0xf3, 0xed, 0xfc, 0x5b, 0x50, 0xee, 0xe7, 0x4a, 0x20, 0xd9, 0xf5, 0xc6, 0x9a, 0x97, 0x6d, 0x07, 0x2f, 0xb9, 0x31, 0x02, + /* (2^336)P */ 0xf9, 0x54, 0x4a, 0xc5, 0x61, 0x7e, 0x1d, 0xa6, 0x0e, 0x1a, 0xa8, 0xd3, 0x8c, 0x36, 0x7d, 0xf1, 0x06, 0xb1, 0xac, 0x93, 0xcd, 0xe9, 0x8f, 0x61, 0x6c, 0x5d, 0x03, 0x23, 0xdf, 0x85, 0x53, 0x39, 0x63, 0x5e, 0xeb, 0xf3, 0xd3, 0xd3, 0x75, 0x97, 0x9b, 0x62, 0x9b, 0x01, 0xb3, 0x19, 0xd8, 0x2b, 0x36, 0xf2, 0x2c, 0x2c, 0x6f, 0x36, 0xc6, 0x3c, + /* (2^337)P */ 0x05, 0x74, 0x43, 0x10, 0xb6, 0xb0, 0xf8, 0xbf, 0x02, 0x46, 0x9a, 0xee, 0xc1, 0xaf, 0xc1, 0xe5, 0x5a, 0x2e, 0xbb, 0xe1, 0xdc, 0xc6, 0xce, 0x51, 0x29, 0x50, 0xbf, 0x1b, 0xde, 0xff, 0xba, 0x4d, 0x8d, 0x8b, 0x7e, 0xe7, 0xbd, 0x5b, 0x8f, 0xbe, 0xe3, 0x75, 0x71, 0xff, 0x37, 0x05, 0x5a, 0x10, 0xeb, 0x54, 0x7e, 0x44, 0x72, 0x2c, 0xd4, 0xfc, + /* (2^338)P */ 0x03, 0x12, 0x1c, 0xb2, 0x08, 0x90, 0xa1, 0x2d, 0x50, 0xa0, 0xad, 0x7f, 0x8d, 0xa6, 0x97, 0xc1, 0xbd, 0xdc, 0xc3, 0xa7, 0xad, 0x31, 0xdf, 0xb8, 0x03, 0x84, 0xc3, 0xb9, 0x29, 0x3d, 0x92, 0x2e, 0xc3, 0x90, 0x07, 0xe8, 0xa7, 0xc7, 0xbc, 0x61, 0xe9, 0x3e, 0xa0, 0x35, 0xda, 0x1d, 0xab, 0x48, 0xfe, 0x50, 0xc9, 0x25, 0x59, 0x23, 0x69, 0x3f, + /* (2^339)P */ 0x8e, 0x91, 0xab, 0x6b, 0x91, 0x4f, 0x89, 0x76, 0x67, 0xad, 0xb2, 0x65, 0x9d, 0xad, 0x02, 0x36, 0xdc, 0xac, 0x96, 0x93, 0x97, 0x21, 0x14, 0xd0, 0xe8, 0x11, 0x60, 0x1e, 0xeb, 0x96, 0x06, 0xf2, 0x53, 0xf2, 0x6d, 0xb7, 0x93, 0x6f, 0x26, 0x91, 0x23, 0xe3, 0x34, 0x04, 0x92, 0x91, 0x37, 0x08, 0x50, 0xd6, 0x28, 0x09, 0x27, 0xa1, 0x0c, 0x00, + /* (2^340)P */ 0x1f, 0xbb, 0x21, 0x26, 0x33, 0xcb, 0xa4, 0xd1, 0xee, 0x85, 0xf9, 0xd9, 0x3c, 0x90, 0xc3, 0xd1, 0x26, 0xa2, 0x25, 0x93, 0x43, 0x61, 0xed, 0x91, 0x6e, 0x54, 0x03, 0x2e, 0x42, 0x9d, 0xf7, 0xa6, 0x02, 0x0f, 0x2f, 0x9c, 0x7a, 0x8d, 0x12, 0xc2, 0x18, 0xfc, 0x41, 0xff, 0x85, 0x26, 0x1a, 0x44, 0x55, 0x0b, 0x89, 0xab, 0x6f, 0x62, 0x33, 0x8c, + /* (2^341)P */ 0xe0, 0x3c, 0x5d, 0x70, 0x64, 0x87, 0x81, 0x35, 0xf2, 0x37, 0xa6, 0x24, 0x3e, 0xe0, 0x62, 0xd5, 0x71, 0xe7, 0x93, 0xfb, 0xac, 0xc3, 0xe7, 0xc7, 0x04, 0xe2, 0x70, 0xd3, 0x29, 0x5b, 0x21, 0xbf, 0xf4, 0x26, 0x5d, 0xf3, 0x95, 0xb4, 0x2a, 0x6a, 0x07, 0x55, 0xa6, 0x4b, 0x3b, 0x15, 0xf2, 0x25, 0x8a, 0x95, 0x3f, 0x63, 0x2f, 0x7a, 0x23, 0x96, + /* (2^342)P */ 0x0d, 0x3d, 0xd9, 0x13, 0xa7, 0xb3, 0x5e, 0x67, 0xf7, 0x02, 0x23, 0xee, 0x84, 0xff, 0x99, 0xda, 0xb9, 0x53, 0xf8, 0xf0, 0x0e, 0x39, 0x2f, 0x3c, 0x64, 0x34, 0xe3, 0x09, 0xfd, 0x2b, 0x33, 0xc7, 0xfe, 0x62, 0x2b, 0x84, 0xdf, 0x2b, 0xd2, 0x7c, 0x26, 0x01, 0x70, 0x66, 0x5b, 0x85, 0xc2, 0xbe, 0x88, 0x37, 0xf1, 0x30, 0xac, 0xb8, 0x76, 0xa3, + /* (2^343)P */ 0x6e, 0x01, 0xf0, 0x55, 0x35, 0xe4, 0xbd, 0x43, 0x62, 0x9d, 0xd6, 0x11, 0xef, 0x6f, 0xb8, 0x8c, 0xaa, 0x98, 0x87, 0xc6, 0x6d, 0xc4, 0xcc, 0x74, 0x92, 0x53, 0x4a, 0xdf, 0xe4, 0x08, 0x89, 0x17, 0xd0, 0x0f, 0xf4, 0x00, 0x60, 0x78, 0x08, 0x44, 0xb5, 0xda, 0x18, 0xed, 0x98, 0xc8, 0x61, 0x3d, 0x39, 0xdb, 0xcf, 0x1d, 0x49, 0x40, 0x65, 0x75, + /* (2^344)P */ 0x8e, 0x10, 0xae, 0x5f, 0x06, 0xd2, 0x95, 0xfd, 0x20, 0x16, 0x49, 0x5b, 0x57, 0xbe, 0x22, 0x8b, 0x43, 0xfb, 0xe6, 0xcc, 0x26, 0xa5, 0x5d, 0xd3, 0x68, 0xc5, 0xf9, 0x5a, 0x86, 0x24, 0x87, 0x27, 0x05, 0xfd, 0xe2, 0xff, 0xb3, 0xa3, 0x7b, 0x37, 0x59, 0xc5, 0x4e, 0x14, 0x94, 0xf9, 0x3b, 0xcb, 0x7c, 0xed, 0xca, 0x1d, 0xb2, 0xac, 0x05, 0x4a, + /* (2^345)P */ 0xf4, 0xd1, 0x81, 0xeb, 0x89, 0xbf, 0xfe, 0x1e, 0x41, 0x92, 0x29, 0xee, 0xe1, 0x43, 0xf5, 0x86, 0x1d, 0x2f, 0xbb, 0x1e, 0x84, 0x5d, 0x7b, 0x8d, 0xd5, 0xda, 0xee, 0x1e, 0x8a, 0xd0, 0x27, 0xf2, 0x60, 0x51, 0x59, 0x82, 0xf4, 0x84, 0x2b, 0x5b, 0x14, 0x2d, 0x81, 0x82, 0x3e, 0x2b, 0xb4, 0x6d, 0x51, 0x4f, 0xc5, 0xcb, 0xbf, 0x74, 0xe3, 0xb4, + /* (2^346)P */ 0x19, 0x2f, 0x22, 0xb3, 0x04, 0x5f, 0x81, 0xca, 0x05, 0x60, 0xb9, 0xaa, 0xee, 0x0e, 0x2f, 0x48, 0x38, 0xf9, 0x91, 0xb4, 0x66, 0xe4, 0x57, 0x28, 0x54, 0x10, 0xe9, 0x61, 0x9d, 0xd4, 0x90, 0x75, 0xb1, 0x39, 0x23, 0xb6, 0xfc, 0x82, 0xe0, 0xfa, 0xbb, 0x5c, 0x6e, 0xc3, 0x44, 0x13, 0x00, 0x83, 0x55, 0x9e, 0x8e, 0x10, 0x61, 0x81, 0x91, 0x04, + /* (2^347)P */ 0x5f, 0x2a, 0xd7, 0x81, 0xd9, 0x9c, 0xbb, 0x79, 0xbc, 0x62, 0x56, 0x98, 0x03, 0x5a, 0x18, 0x85, 0x2a, 0x9c, 0xd0, 0xfb, 0xd2, 0xb1, 0xaf, 0xef, 0x0d, 0x24, 0xc5, 0xfa, 0x39, 0xbb, 0x6b, 0xed, 0xa4, 0xdf, 0xe4, 0x87, 0xcd, 0x41, 0xd3, 0x72, 0x32, 0xc6, 0x28, 0x21, 0xb1, 0xba, 0x8b, 0xa3, 0x91, 0x79, 0x76, 0x22, 0x25, 0x10, 0x61, 0xd1, + /* (2^348)P */ 0x73, 0xb5, 0x32, 0x97, 0xdd, 0xeb, 0xdd, 0x22, 0x22, 0xf1, 0x33, 0x3c, 0x77, 0x56, 0x7d, 0x6b, 0x48, 0x2b, 0x05, 0x81, 0x03, 0x03, 0x91, 0x9a, 0xe3, 0x5e, 0xd4, 0xee, 0x3f, 0xf8, 0xbb, 0x50, 0x21, 0x32, 0x4c, 0x4a, 0x58, 0x49, 0xde, 0x0c, 0xde, 0x30, 0x82, 0x3d, 0x92, 0xf0, 0x6c, 0xcc, 0x32, 0x3e, 0xd2, 0x78, 0x8a, 0x6e, 0x2c, 0xd0, + /* (2^349)P */ 0xf0, 0xf7, 0xa1, 0x0b, 0xc1, 0x74, 0x85, 0xa8, 0xe9, 0xdd, 0x48, 0xa1, 0xc0, 0x16, 0xd8, 0x2b, 0x61, 0x08, 0xc2, 0x2b, 0x30, 0x26, 0x79, 0xce, 0x9e, 0xfd, 0x39, 0xd7, 0x81, 0xa4, 0x63, 0x8c, 0xd5, 0x74, 0xa0, 0x88, 0xfa, 0x03, 0x30, 0xe9, 0x7f, 0x2b, 0xc6, 0x02, 0xc9, 0x5e, 0xe4, 0xd5, 0x4d, 0x92, 0xd0, 0xf6, 0xf2, 0x5b, 0x79, 0x08, + /* (2^350)P */ 0x34, 0x89, 0x81, 0x43, 0xd1, 0x94, 0x2c, 0x10, 0x54, 0x9b, 0xa0, 0xe5, 0x44, 0xe8, 0xc2, 0x2f, 0x3e, 0x0e, 0x74, 0xae, 0xba, 0xe2, 0xac, 0x85, 0x6b, 0xd3, 0x5c, 0x97, 0xf7, 0x90, 0xf1, 0x12, 0xc0, 0x03, 0xc8, 0x1f, 0x37, 0x72, 0x8c, 0x9b, 0x9c, 0x17, 0x96, 0x9d, 0xc7, 0xbf, 0xa3, 0x3f, 0x44, 0x3d, 0x87, 0x81, 0xbd, 0x81, 0xa6, 0x5f, + /* (2^351)P */ 0xe4, 0xff, 0x78, 0x62, 0x82, 0x5b, 0x76, 0x58, 0xf5, 0x5b, 0xa6, 0xc4, 0x53, 0x11, 0x3b, 0x7b, 0xaa, 0x67, 0xf8, 0xea, 0x3b, 0x5d, 0x9a, 0x2e, 0x04, 0xeb, 0x4a, 0x24, 0xfb, 0x56, 0xf0, 0xa8, 0xd4, 0x14, 0xed, 0x0f, 0xfd, 0xc5, 0x26, 0x17, 0x2a, 0xf0, 0xb9, 0x13, 0x8c, 0xbd, 0x65, 0x14, 0x24, 0x95, 0x27, 0x12, 0x63, 0x2a, 0x09, 0x18, + /* (2^352)P */ 0xe1, 0x5c, 0xe7, 0xe0, 0x00, 0x6a, 0x96, 0xf2, 0x49, 0x6a, 0x39, 0xa5, 0xe0, 0x17, 0x79, 0x4a, 0x63, 0x07, 0x62, 0x09, 0x61, 0x1b, 0x6e, 0xa9, 0xb5, 0x62, 0xb7, 0xde, 0xdf, 0x80, 0x4c, 0x5a, 0x99, 0x73, 0x59, 0x9d, 0xfb, 0xb1, 0x5e, 0xbe, 0xb8, 0xb7, 0x63, 0x93, 0xe8, 0xad, 0x5e, 0x1f, 0xae, 0x59, 0x1c, 0xcd, 0xb4, 0xc2, 0xb3, 0x8a, + /* (2^353)P */ 0x78, 0x53, 0xa1, 0x4c, 0x70, 0x9c, 0x63, 0x7e, 0xb3, 0x12, 0x40, 0x5f, 0xbb, 0x23, 0xa7, 0xf7, 0x77, 0x96, 0x5b, 0x4d, 0x91, 0x10, 0x52, 0x85, 0x9e, 0xa5, 0x38, 0x0b, 0xfd, 0x25, 0x01, 0x4b, 0xfa, 0x4d, 0xd3, 0x3f, 0x78, 0x74, 0x42, 0xff, 0x62, 0x2d, 0x27, 0xdc, 0x9d, 0xd1, 0x29, 0x76, 0x2e, 0x78, 0xb3, 0x35, 0xfa, 0x15, 0xd5, 0x38, + /* (2^354)P */ 0x8b, 0xc7, 0x43, 0xce, 0xf0, 0x5e, 0xf1, 0x0d, 0x02, 0x38, 0xe8, 0x82, 0xc9, 0x25, 0xad, 0x2d, 0x27, 0xa4, 0x54, 0x18, 0xb2, 0x30, 0x73, 0xa4, 0x41, 0x08, 0xe4, 0x86, 0xe6, 0x8c, 0xe9, 0x2a, 0x34, 0xb3, 0xd6, 0x61, 0x8f, 0x66, 0x26, 0x08, 0xb6, 0x06, 0x33, 0xaa, 0x12, 0xac, 0x72, 0xec, 0x2e, 0x52, 0xa3, 0x25, 0x3e, 0xd7, 0x62, 0xe8, + /* (2^355)P */ 0xc4, 0xbb, 0x89, 0xc8, 0x40, 0xcc, 0x84, 0xec, 0x4a, 0xd9, 0xc4, 0x55, 0x78, 0x00, 0xcf, 0xd8, 0xe9, 0x24, 0x59, 0xdc, 0x5e, 0xf0, 0x66, 0xa1, 0x83, 0xae, 0x97, 0x18, 0xc5, 0x54, 0x27, 0xa2, 0x21, 0x52, 0x03, 0x31, 0x5b, 0x11, 0x67, 0xf6, 0x12, 0x00, 0x87, 0x2f, 0xff, 0x59, 0x70, 0x8f, 0x6d, 0x71, 0xab, 0xab, 0x24, 0xb8, 0xba, 0x35, + /* (2^356)P */ 0x69, 0x43, 0xa7, 0x14, 0x06, 0x96, 0xe9, 0xc2, 0xe3, 0x2b, 0x45, 0x22, 0xc0, 0xd0, 0x2f, 0x34, 0xd1, 0x01, 0x99, 0xfc, 0x99, 0x38, 0xa1, 0x25, 0x2e, 0x59, 0x6c, 0x27, 0xc9, 0xeb, 0x7b, 0xdc, 0x4e, 0x26, 0x68, 0xba, 0xfa, 0xec, 0x02, 0x05, 0x64, 0x80, 0x30, 0x20, 0x5c, 0x26, 0x7f, 0xaf, 0x95, 0x17, 0x3d, 0x5c, 0x9e, 0x96, 0x96, 0xaf, + /* (2^357)P */ 0xa6, 0xba, 0x21, 0x29, 0x32, 0xe2, 0x98, 0xde, 0x9b, 0x6d, 0x0b, 0x44, 0x91, 0xa8, 0x3e, 0xd4, 0xb8, 0x04, 0x6c, 0xf6, 0x04, 0x39, 0xbd, 0x52, 0x05, 0x15, 0x27, 0x78, 0x8e, 0x55, 0xac, 0x79, 0xc5, 0xe6, 0x00, 0x7f, 0x90, 0xa2, 0xdd, 0x07, 0x13, 0xe0, 0x24, 0x70, 0x5c, 0x0f, 0x4d, 0xa9, 0xf9, 0xae, 0xcb, 0x34, 0x10, 0x9d, 0x89, 0x9d, + /* (2^358)P */ 0x12, 0xe0, 0xb3, 0x9f, 0xc4, 0x96, 0x1d, 0xcf, 0xed, 0x99, 0x64, 0x28, 0x8d, 0xc7, 0x31, 0x82, 0xee, 0x5e, 0x75, 0x48, 0xff, 0x3a, 0xf2, 0x09, 0x34, 0x03, 0x93, 0x52, 0x19, 0xb2, 0xc5, 0x81, 0x93, 0x45, 0x5e, 0x59, 0x21, 0x2b, 0xec, 0x89, 0xba, 0x36, 0x6e, 0xf9, 0x82, 0x75, 0x7e, 0x82, 0x3f, 0xaa, 0xe2, 0xe3, 0x3b, 0x94, 0xfd, 0x98, + /* (2^359)P */ 0x7c, 0xdb, 0x75, 0x31, 0x61, 0xfb, 0x15, 0x28, 0x94, 0xd7, 0xc3, 0x5a, 0xa9, 0xa1, 0x0a, 0x66, 0x0f, 0x2b, 0x13, 0x3e, 0x42, 0xb5, 0x28, 0x3a, 0xca, 0x83, 0xf3, 0x61, 0x22, 0xf4, 0x40, 0xc5, 0xdf, 0xe7, 0x31, 0x9f, 0x7e, 0x51, 0x75, 0x06, 0x9d, 0x51, 0xc8, 0xe7, 0x9f, 0xc3, 0x71, 0x4f, 0x3d, 0x5b, 0xfb, 0xe9, 0x8e, 0x08, 0x40, 0x8e, + /* (2^360)P */ 0xf7, 0x31, 0xad, 0x50, 0x5d, 0x25, 0x93, 0x73, 0x68, 0xf6, 0x7c, 0x89, 0x5a, 0x3d, 0x9f, 0x9b, 0x05, 0x82, 0xe7, 0x70, 0x4b, 0x19, 0xaa, 0xcf, 0xff, 0xde, 0x50, 0x8f, 0x2f, 0x69, 0xd3, 0xf0, 0x99, 0x51, 0x6b, 0x9d, 0xb6, 0x56, 0x6f, 0xf8, 0x4c, 0x74, 0x8b, 0x4c, 0x91, 0xf9, 0xa9, 0xb1, 0x3e, 0x07, 0xdf, 0x0b, 0x27, 0x8a, 0xb1, 0xed, + /* (2^361)P */ 0xfb, 0x67, 0xd9, 0x48, 0xd2, 0xe4, 0x44, 0x9b, 0x43, 0x15, 0x8a, 0xeb, 0x00, 0x53, 0xad, 0x25, 0xc7, 0x7e, 0x19, 0x30, 0x87, 0xb7, 0xd5, 0x5f, 0x04, 0xf8, 0xaa, 0xdd, 0x57, 0xae, 0x34, 0x75, 0xe2, 0x84, 0x4b, 0x54, 0x60, 0x37, 0x95, 0xe4, 0xd3, 0xec, 0xac, 0xef, 0x47, 0x31, 0xa3, 0xc8, 0x31, 0x22, 0xdb, 0x26, 0xe7, 0x6a, 0xb5, 0xad, + /* (2^362)P */ 0x44, 0x09, 0x5c, 0x95, 0xe4, 0x72, 0x3c, 0x1a, 0xd1, 0xac, 0x42, 0x51, 0x99, 0x6f, 0xfa, 0x1f, 0xf2, 0x22, 0xbe, 0xff, 0x7b, 0x66, 0xf5, 0x6c, 0xb3, 0x66, 0xc7, 0x4d, 0x78, 0x31, 0x83, 0x80, 0xf5, 0x41, 0xe9, 0x7f, 0xbe, 0xf7, 0x23, 0x49, 0x6b, 0x84, 0x4e, 0x7e, 0x47, 0x07, 0x6e, 0x74, 0xdf, 0xe5, 0x9d, 0x9e, 0x56, 0x2a, 0xc0, 0xbc, + /* (2^363)P */ 0xac, 0x10, 0x80, 0x8c, 0x7c, 0xfa, 0x83, 0xdf, 0xb3, 0xd0, 0xc4, 0xbe, 0xfb, 0x9f, 0xac, 0xc9, 0xc3, 0x40, 0x95, 0x0b, 0x09, 0x23, 0xda, 0x63, 0x67, 0xcf, 0xe7, 0x9f, 0x7d, 0x7b, 0x6b, 0xe2, 0xe6, 0x6d, 0xdb, 0x87, 0x9e, 0xa6, 0xff, 0x6d, 0xab, 0xbd, 0xfb, 0x54, 0x84, 0x68, 0xcf, 0x89, 0xf1, 0xd0, 0xe2, 0x85, 0x61, 0xdc, 0x22, 0xd1, + /* (2^364)P */ 0xa8, 0x48, 0xfb, 0x8c, 0x6a, 0x63, 0x01, 0x72, 0x43, 0x43, 0xeb, 0x21, 0xa3, 0x00, 0x8a, 0xc0, 0x87, 0x51, 0x9e, 0x86, 0x75, 0x16, 0x79, 0xf9, 0x6b, 0x11, 0x80, 0x62, 0xc2, 0x9d, 0xb8, 0x8c, 0x30, 0x8e, 0x8d, 0x03, 0x52, 0x7e, 0x31, 0x59, 0x38, 0xf9, 0x25, 0xc7, 0x0f, 0xc7, 0xa8, 0x2b, 0x5c, 0x80, 0xfa, 0x90, 0xa2, 0x63, 0xca, 0xe7, + /* (2^365)P */ 0xf1, 0x5d, 0xb5, 0xd9, 0x20, 0x10, 0x7d, 0x0f, 0xc5, 0x50, 0x46, 0x07, 0xff, 0x02, 0x75, 0x2b, 0x4a, 0xf3, 0x39, 0x91, 0x72, 0xb7, 0xd5, 0xcc, 0x38, 0xb8, 0xe7, 0x36, 0x26, 0x5e, 0x11, 0x97, 0x25, 0xfb, 0x49, 0x68, 0xdc, 0xb4, 0x46, 0x87, 0x5c, 0xc2, 0x7f, 0xaa, 0x7d, 0x36, 0x23, 0xa6, 0xc6, 0x53, 0xec, 0xbc, 0x57, 0x47, 0xc1, 0x2b, + /* (2^366)P */ 0x25, 0x5d, 0x7d, 0x95, 0xda, 0x0b, 0x8f, 0x78, 0x1e, 0x19, 0x09, 0xfa, 0x67, 0xe0, 0xa0, 0x17, 0x24, 0x76, 0x6c, 0x30, 0x1f, 0x62, 0x3d, 0xbe, 0x45, 0x70, 0xcc, 0xb6, 0x1e, 0x68, 0x06, 0x25, 0x68, 0x16, 0x1a, 0x33, 0x3f, 0x90, 0xc7, 0x78, 0x2d, 0x98, 0x3c, 0x2f, 0xb9, 0x2d, 0x94, 0x0b, 0xfb, 0x49, 0x56, 0x30, 0xd7, 0xc1, 0xe6, 0x48, + /* (2^367)P */ 0x7a, 0xd1, 0xe0, 0x8e, 0x67, 0xfc, 0x0b, 0x50, 0x1f, 0x84, 0x98, 0xfa, 0xaf, 0xae, 0x2e, 0x31, 0x27, 0xcf, 0x3f, 0xf2, 0x6e, 0x8d, 0x81, 0x8f, 0xd2, 0x5f, 0xde, 0xd3, 0x5e, 0xe9, 0xe7, 0x13, 0x48, 0x83, 0x5a, 0x4e, 0x84, 0xd1, 0x58, 0xcf, 0x6b, 0x84, 0xdf, 0x13, 0x1d, 0x91, 0x85, 0xe8, 0xcb, 0x29, 0x79, 0xd2, 0xca, 0xac, 0x6a, 0x93, + /* (2^368)P */ 0x53, 0x82, 0xce, 0x61, 0x96, 0x88, 0x6f, 0xe1, 0x4a, 0x4c, 0x1e, 0x30, 0x73, 0xe8, 0x74, 0xde, 0x40, 0x2b, 0xe0, 0xc4, 0xb5, 0xd8, 0x7c, 0x15, 0xe7, 0xe1, 0xb1, 0xe0, 0xd6, 0x88, 0xb1, 0x6a, 0x57, 0x19, 0x6a, 0x22, 0x66, 0x57, 0xf6, 0x8d, 0xfd, 0xc0, 0xf2, 0xa3, 0x03, 0x56, 0xfb, 0x2e, 0x75, 0x5e, 0xc7, 0x8e, 0x22, 0x96, 0x5c, 0x06, + /* (2^369)P */ 0x98, 0x7e, 0xbf, 0x3e, 0xbf, 0x24, 0x9d, 0x15, 0xd3, 0xf6, 0xd3, 0xd2, 0xf0, 0x11, 0xf2, 0xdb, 0x36, 0x23, 0x38, 0xf7, 0x1d, 0x71, 0x20, 0xd2, 0x54, 0x7f, 0x1e, 0x24, 0x8f, 0xe2, 0xaa, 0xf7, 0x3f, 0x6b, 0x41, 0x4e, 0xdc, 0x0e, 0xec, 0xe8, 0x35, 0x0a, 0x08, 0x6d, 0x89, 0x5b, 0x32, 0x91, 0x01, 0xb6, 0xe0, 0x2c, 0xc6, 0xa1, 0xbe, 0xb4, + /* (2^370)P */ 0x29, 0xf2, 0x1e, 0x1c, 0xdc, 0x68, 0x8a, 0x43, 0x87, 0x2c, 0x48, 0xb3, 0x9e, 0xed, 0xd2, 0x82, 0x46, 0xac, 0x2f, 0xef, 0x93, 0x34, 0x37, 0xca, 0x64, 0x8d, 0xc9, 0x06, 0x90, 0xbb, 0x78, 0x0a, 0x3c, 0x4c, 0xcf, 0x35, 0x7a, 0x0f, 0xf7, 0xa7, 0xf4, 0x2f, 0x45, 0x69, 0x3f, 0xa9, 0x5d, 0xce, 0x7b, 0x8a, 0x84, 0xc3, 0xae, 0xf4, 0xda, 0xd5, + /* (2^371)P */ 0xca, 0xba, 0x95, 0x43, 0x05, 0x7b, 0x06, 0xd9, 0x5c, 0x0a, 0x18, 0x5f, 0x6a, 0x6a, 0xce, 0xc0, 0x3d, 0x95, 0x51, 0x0e, 0x1a, 0xbe, 0x85, 0x7a, 0xf2, 0x69, 0xec, 0xc0, 0x8c, 0xca, 0xa3, 0x32, 0x0a, 0x76, 0x50, 0xc6, 0x76, 0x61, 0x00, 0x89, 0xbf, 0x6e, 0x0f, 0x48, 0x90, 0x31, 0x93, 0xec, 0x34, 0x70, 0xf0, 0xc3, 0x8d, 0xf0, 0x0f, 0xb5, + /* (2^372)P */ 0xbe, 0x23, 0xe2, 0x18, 0x99, 0xf1, 0xed, 0x8a, 0xf6, 0xc9, 0xac, 0xb8, 0x1e, 0x9a, 0x3c, 0x15, 0xae, 0xd7, 0x6d, 0xb3, 0x04, 0xee, 0x5b, 0x0d, 0x1e, 0x79, 0xb7, 0xf9, 0xf9, 0x8d, 0xad, 0xf9, 0x8f, 0x5a, 0x6a, 0x7b, 0xd7, 0x9b, 0xca, 0x62, 0xfe, 0x9c, 0xc0, 0x6f, 0x6d, 0x9d, 0x76, 0xa3, 0x69, 0xb9, 0x4c, 0xa1, 0xc4, 0x0c, 0x76, 0xaa, + /* (2^373)P */ 0x1c, 0x06, 0xfe, 0x3f, 0x45, 0x70, 0xcd, 0x97, 0xa9, 0xa2, 0xb1, 0xd3, 0xf2, 0xa5, 0x0c, 0x49, 0x2c, 0x75, 0x73, 0x1f, 0xcf, 0x00, 0xaf, 0xd5, 0x2e, 0xde, 0x0d, 0x8f, 0x8f, 0x7c, 0xc4, 0x58, 0xce, 0xd4, 0xf6, 0x24, 0x19, 0x2e, 0xd8, 0xc5, 0x1d, 0x1a, 0x3f, 0xb8, 0x4f, 0xbc, 0x7d, 0xbd, 0x68, 0xe3, 0x81, 0x98, 0x1b, 0xa8, 0xc9, 0xd9, + /* (2^374)P */ 0x39, 0x95, 0x78, 0x24, 0x6c, 0x38, 0xe4, 0xe7, 0xd0, 0x8d, 0xb9, 0x38, 0x71, 0x5e, 0xc1, 0x62, 0x80, 0xcc, 0xcb, 0x8c, 0x97, 0xca, 0xf8, 0xb9, 0xd9, 0x9c, 0xce, 0x72, 0x7b, 0x70, 0xee, 0x5f, 0xea, 0xa2, 0xdf, 0xa9, 0x14, 0x10, 0xf9, 0x6e, 0x59, 0x9f, 0x9c, 0xe0, 0x0c, 0xb2, 0x07, 0x97, 0xcd, 0xd2, 0x89, 0x16, 0xfd, 0x9c, 0xa8, 0xa5, + /* (2^375)P */ 0x5a, 0x61, 0xf1, 0x59, 0x7c, 0x38, 0xda, 0xe2, 0x85, 0x99, 0x68, 0xe9, 0xc9, 0xf7, 0x32, 0x7e, 0xc4, 0xca, 0xb7, 0x11, 0x08, 0x69, 0x2b, 0x66, 0x02, 0xf7, 0x2e, 0x18, 0xc3, 0x8e, 0xe1, 0xf9, 0xc5, 0x19, 0x9a, 0x0a, 0x9c, 0x07, 0xba, 0xc7, 0x9c, 0x03, 0x34, 0x89, 0x99, 0x67, 0x0b, 0x16, 0x4b, 0x07, 0x36, 0x16, 0x36, 0x2c, 0xe2, 0xa1, + /* (2^376)P */ 0x70, 0x10, 0x91, 0x27, 0xa8, 0x24, 0x8e, 0x29, 0x04, 0x6f, 0x79, 0x1f, 0xd3, 0xa5, 0x68, 0xd3, 0x0b, 0x7d, 0x56, 0x4d, 0x14, 0x57, 0x7b, 0x2e, 0x00, 0x9f, 0x9a, 0xfd, 0x6c, 0x63, 0x18, 0x81, 0xdb, 0x9d, 0xb7, 0xd7, 0xa4, 0x1e, 0xe8, 0x40, 0xf1, 0x4c, 0xa3, 0x01, 0xd5, 0x4b, 0x75, 0xea, 0xdd, 0x97, 0xfd, 0x5b, 0xb2, 0x66, 0x6a, 0x24, + /* (2^377)P */ 0x72, 0x11, 0xfe, 0x73, 0x1b, 0xd3, 0xea, 0x7f, 0x93, 0x15, 0x15, 0x05, 0xfe, 0x40, 0xe8, 0x28, 0xd8, 0x50, 0x47, 0x66, 0xfa, 0xb7, 0xb5, 0x04, 0xba, 0x35, 0x1e, 0x32, 0x9f, 0x5f, 0x32, 0xba, 0x3d, 0xd1, 0xed, 0x9a, 0x76, 0xca, 0xa3, 0x3e, 0x77, 0xd8, 0xd8, 0x7c, 0x5f, 0x68, 0x42, 0xb5, 0x86, 0x7f, 0x3b, 0xc9, 0xc1, 0x89, 0x64, 0xda, + /* (2^378)P */ 0xd5, 0xd4, 0x17, 0x31, 0xfc, 0x6a, 0xfd, 0xb8, 0xe8, 0xe5, 0x3e, 0x39, 0x06, 0xe4, 0xd1, 0x90, 0x2a, 0xca, 0xf6, 0x54, 0x6c, 0x1b, 0x2f, 0x49, 0x97, 0xb1, 0x2a, 0x82, 0x43, 0x3d, 0x1f, 0x8b, 0xe2, 0x47, 0xc5, 0x24, 0xa8, 0xd5, 0x53, 0x29, 0x7d, 0xc6, 0x87, 0xa6, 0x25, 0x3a, 0x64, 0xdd, 0x71, 0x08, 0x9e, 0xcd, 0xe9, 0x45, 0xc7, 0xba, + /* (2^379)P */ 0x37, 0x72, 0x6d, 0x13, 0x7a, 0x8d, 0x04, 0x31, 0xe6, 0xe3, 0x9e, 0x36, 0x71, 0x3e, 0xc0, 0x1e, 0xe3, 0x71, 0xd3, 0x49, 0x4e, 0x4a, 0x36, 0x42, 0x68, 0x68, 0x61, 0xc7, 0x3c, 0xdb, 0x81, 0x49, 0xf7, 0x91, 0x4d, 0xea, 0x4c, 0x4f, 0x98, 0xc6, 0x7e, 0x60, 0x84, 0x4b, 0x6a, 0x37, 0xbb, 0x52, 0xf7, 0xce, 0x02, 0xe4, 0xad, 0xd1, 0x3c, 0xa7, + /* (2^380)P */ 0x51, 0x06, 0x2d, 0xf8, 0x08, 0xe8, 0xf1, 0x0c, 0xe5, 0xa9, 0xac, 0x29, 0x73, 0x3b, 0xed, 0x98, 0x5f, 0x55, 0x08, 0x38, 0x51, 0x44, 0x36, 0x5d, 0xea, 0xc3, 0xb8, 0x0e, 0xa0, 0x4f, 0xd2, 0x79, 0xe9, 0x98, 0xc3, 0xf5, 0x00, 0xb9, 0x26, 0x27, 0x42, 0xa8, 0x07, 0xc1, 0x12, 0x31, 0xc1, 0xc3, 0x3c, 0x3b, 0x7a, 0x72, 0x97, 0xc2, 0x70, 0x3a, + /* (2^381)P */ 0xf4, 0xb2, 0xba, 0x32, 0xbc, 0xa9, 0x2f, 0x87, 0xc7, 0x3c, 0x45, 0xcd, 0xae, 0xe2, 0x13, 0x6d, 0x3a, 0xf2, 0xf5, 0x66, 0x97, 0x29, 0xaf, 0x53, 0x9f, 0xda, 0xea, 0x14, 0xdf, 0x04, 0x98, 0x19, 0x95, 0x9e, 0x2a, 0x00, 0x5c, 0x9d, 0x1d, 0xf0, 0x39, 0x23, 0xff, 0xfc, 0xca, 0x36, 0xb7, 0xde, 0xdf, 0x37, 0x78, 0x52, 0x21, 0xfa, 0x19, 0x10, + /* (2^382)P */ 0x50, 0x20, 0x73, 0x74, 0x62, 0x21, 0xf2, 0xf7, 0x9b, 0x66, 0x85, 0x34, 0x74, 0xd4, 0x9d, 0x60, 0xd7, 0xbc, 0xc8, 0x46, 0x3b, 0xb8, 0x80, 0x42, 0x15, 0x0a, 0x6c, 0x35, 0x1a, 0x69, 0xf0, 0x1d, 0x4b, 0x29, 0x54, 0x5a, 0x9a, 0x48, 0xec, 0x9f, 0x37, 0x74, 0x91, 0xd0, 0xd1, 0x9e, 0x00, 0xc2, 0x76, 0x56, 0xd6, 0xa0, 0x15, 0x14, 0x83, 0x59, + /* (2^383)P */ 0xc2, 0xf8, 0x22, 0x20, 0x23, 0x07, 0xbd, 0x1d, 0x6f, 0x1e, 0x8c, 0x56, 0x06, 0x6a, 0x4b, 0x9f, 0xe2, 0xa9, 0x92, 0x46, 0x4b, 0x46, 0x59, 0xd7, 0xe1, 0xda, 0x14, 0x98, 0x07, 0x65, 0x7e, 0x28, 0x20, 0xf2, 0x9d, 0x4f, 0x36, 0x5c, 0x92, 0xe0, 0x9d, 0xfe, 0x3e, 0xda, 0xe4, 0x47, 0x19, 0x3c, 0x00, 0x7f, 0x22, 0xf2, 0x9e, 0x51, 0xae, 0x4d, + /* (2^384)P */ 0xbe, 0x8c, 0x1b, 0x10, 0xb6, 0xad, 0xcc, 0xcc, 0xd8, 0x5e, 0x21, 0xa6, 0xfb, 0xf1, 0xf6, 0xbd, 0x0a, 0x24, 0x67, 0xb4, 0x57, 0x7a, 0xbc, 0xe8, 0xe9, 0xff, 0xee, 0x0a, 0x1f, 0xee, 0xbd, 0xc8, 0x44, 0xed, 0x2b, 0xbb, 0x55, 0x1f, 0xdd, 0x7c, 0xb3, 0xeb, 0x3f, 0x63, 0xa1, 0x28, 0x91, 0x21, 0xab, 0x71, 0xc6, 0x4c, 0xd0, 0xe9, 0xb0, 0x21, + /* (2^385)P */ 0xad, 0xc9, 0x77, 0x2b, 0xee, 0x89, 0xa4, 0x7b, 0xfd, 0xf9, 0xf6, 0x14, 0xe4, 0xed, 0x1a, 0x16, 0x9b, 0x78, 0x41, 0x43, 0xa8, 0x83, 0x72, 0x06, 0x2e, 0x7c, 0xdf, 0xeb, 0x7e, 0xdd, 0xd7, 0x8b, 0xea, 0x9a, 0x2b, 0x03, 0xba, 0x57, 0xf3, 0xf1, 0xd9, 0xe5, 0x09, 0xc5, 0x98, 0x61, 0x1c, 0x51, 0x6d, 0x5d, 0x6e, 0xfb, 0x5e, 0x95, 0x9f, 0xb5, + /* (2^386)P */ 0x23, 0xe2, 0x1e, 0x95, 0xa3, 0x5e, 0x42, 0x10, 0xc7, 0xc3, 0x70, 0xbf, 0x4b, 0x6b, 0x83, 0x36, 0x93, 0xb7, 0x68, 0x47, 0x88, 0x3a, 0x10, 0x88, 0x48, 0x7f, 0x8c, 0xae, 0x54, 0x10, 0x02, 0xa4, 0x52, 0x8f, 0x8d, 0xf7, 0x26, 0x4f, 0x50, 0xc3, 0x6a, 0xe2, 0x4e, 0x3b, 0x4c, 0xb9, 0x8a, 0x14, 0x15, 0x6d, 0x21, 0x29, 0xb3, 0x6e, 0x4e, 0xd0, + /* (2^387)P */ 0x4c, 0x8a, 0x18, 0x3f, 0xb7, 0x20, 0xfd, 0x3e, 0x54, 0xca, 0x68, 0x3c, 0xea, 0x6f, 0xf4, 0x6b, 0xa2, 0xbd, 0x01, 0xbd, 0xfe, 0x08, 0xa8, 0xd8, 0xc2, 0x20, 0x36, 0x05, 0xcd, 0xe9, 0xf3, 0x9e, 0xfa, 0x85, 0x66, 0x8f, 0x4b, 0x1d, 0x8c, 0x64, 0x4f, 0xb8, 0xc6, 0x0f, 0x5b, 0x57, 0xd8, 0x24, 0x19, 0x5a, 0x14, 0x4b, 0x92, 0xd3, 0x96, 0xbc, + /* (2^388)P */ 0xa9, 0x3f, 0xc9, 0x6c, 0xca, 0x64, 0x1e, 0x6f, 0xdf, 0x65, 0x7f, 0x9a, 0x47, 0x6b, 0x8a, 0x60, 0x31, 0xa6, 0x06, 0xac, 0x69, 0x30, 0xe6, 0xea, 0x63, 0x42, 0x26, 0x5f, 0xdb, 0xd0, 0xf2, 0x8e, 0x34, 0x0a, 0x3a, 0xeb, 0xf3, 0x79, 0xc8, 0xb7, 0x60, 0x56, 0x5c, 0x37, 0x95, 0x71, 0xf8, 0x7f, 0x49, 0x3e, 0x9e, 0x01, 0x26, 0x1e, 0x80, 0x9f, + /* (2^389)P */ 0xf8, 0x16, 0x9a, 0xaa, 0xb0, 0x28, 0xb5, 0x8e, 0xd0, 0x60, 0xe5, 0x26, 0xa9, 0x47, 0xc4, 0x5c, 0xa9, 0x39, 0xfe, 0x0a, 0xd8, 0x07, 0x2b, 0xb3, 0xce, 0xf1, 0xea, 0x1a, 0xf4, 0x7b, 0x98, 0x31, 0x3d, 0x13, 0x29, 0x80, 0xe8, 0x0d, 0xcf, 0x56, 0x39, 0x86, 0x50, 0x0c, 0xb3, 0x18, 0xf4, 0xc5, 0xca, 0xf2, 0x6f, 0xcd, 0x8d, 0xd5, 0x02, 0xb0, + /* (2^390)P */ 0xbf, 0x39, 0x3f, 0xac, 0x6d, 0x1a, 0x6a, 0xe4, 0x42, 0x24, 0xd6, 0x41, 0x9d, 0xb9, 0x5b, 0x46, 0x73, 0x93, 0x76, 0xaa, 0xb7, 0x37, 0x36, 0xa6, 0x09, 0xe5, 0x04, 0x3b, 0x66, 0xc4, 0x29, 0x3e, 0x41, 0xc2, 0xcb, 0xe5, 0x17, 0xd7, 0x34, 0x67, 0x1d, 0x2c, 0x12, 0xec, 0x24, 0x7a, 0x40, 0xa2, 0x45, 0x41, 0xf0, 0x75, 0xed, 0x43, 0x30, 0xc9, + /* (2^391)P */ 0x80, 0xf6, 0x47, 0x5b, 0xad, 0x54, 0x02, 0xbc, 0xdd, 0xa4, 0xb2, 0xd7, 0x42, 0x95, 0xf2, 0x0d, 0x1b, 0xef, 0x37, 0xa7, 0xb4, 0x34, 0x04, 0x08, 0x71, 0x1b, 0xd3, 0xdf, 0xa1, 0xf0, 0x2b, 0xfa, 0xc0, 0x1f, 0xf3, 0x44, 0xb5, 0xc6, 0x47, 0x3d, 0x65, 0x67, 0x45, 0x4d, 0x2f, 0xde, 0x52, 0x73, 0xfc, 0x30, 0x01, 0x6b, 0xc1, 0x03, 0xd8, 0xd7, + /* (2^392)P */ 0x1c, 0x67, 0x55, 0x3e, 0x01, 0x17, 0x0f, 0x3e, 0xe5, 0x34, 0x58, 0xfc, 0xcb, 0x71, 0x24, 0x74, 0x5d, 0x36, 0x1e, 0x89, 0x2a, 0x63, 0xf8, 0xf8, 0x9f, 0x50, 0x9f, 0x32, 0x92, 0x29, 0xd8, 0x1a, 0xec, 0x76, 0x57, 0x6c, 0x67, 0x12, 0x6a, 0x6e, 0xef, 0x97, 0x1f, 0xc3, 0x77, 0x60, 0x3c, 0x22, 0xcb, 0xc7, 0x04, 0x1a, 0x89, 0x2d, 0x10, 0xa6, + /* (2^393)P */ 0x12, 0xf5, 0xa9, 0x26, 0x16, 0xd9, 0x3c, 0x65, 0x5d, 0x83, 0xab, 0xd1, 0x70, 0x6b, 0x1c, 0xdb, 0xe7, 0x86, 0x0d, 0xfb, 0xe7, 0xf8, 0x2a, 0x58, 0x6e, 0x7a, 0x66, 0x13, 0x53, 0x3a, 0x6f, 0x8d, 0x43, 0x5f, 0x14, 0x23, 0x14, 0xff, 0x3d, 0x52, 0x7f, 0xee, 0xbd, 0x7a, 0x34, 0x8b, 0x35, 0x24, 0xc3, 0x7a, 0xdb, 0xcf, 0x22, 0x74, 0x9a, 0x8f, + /* (2^394)P */ 0xdb, 0x20, 0xfc, 0xe5, 0x39, 0x4e, 0x7d, 0x78, 0xee, 0x0b, 0xbf, 0x1d, 0x80, 0xd4, 0x05, 0x4f, 0xb9, 0xd7, 0x4e, 0x94, 0x88, 0x9a, 0x50, 0x78, 0x1a, 0x70, 0x8c, 0xcc, 0x25, 0xb6, 0x61, 0x09, 0xdc, 0x7b, 0xea, 0x3f, 0x7f, 0xea, 0x2a, 0x0d, 0x47, 0x1c, 0x8e, 0xa6, 0x5b, 0xd2, 0xa3, 0x61, 0x93, 0x3c, 0x68, 0x9f, 0x8b, 0xea, 0xb0, 0xcb, + /* (2^395)P */ 0xff, 0x54, 0x02, 0x19, 0xae, 0x8b, 0x4c, 0x2c, 0x3a, 0xe0, 0xe4, 0xac, 0x87, 0xf7, 0x51, 0x45, 0x41, 0x43, 0xdc, 0xaa, 0xcd, 0xcb, 0xdc, 0x40, 0xe3, 0x44, 0x3b, 0x1d, 0x9e, 0x3d, 0xb9, 0x82, 0xcc, 0x7a, 0xc5, 0x12, 0xf8, 0x1e, 0xdd, 0xdb, 0x8d, 0xb0, 0x2a, 0xe8, 0xe6, 0x6c, 0x94, 0x3b, 0xb7, 0x2d, 0xba, 0x79, 0x3b, 0xb5, 0x86, 0xfb, + /* (2^396)P */ 0x82, 0x88, 0x13, 0xdd, 0x6c, 0xcd, 0x85, 0x2b, 0x90, 0x86, 0xb7, 0xac, 0x16, 0xa6, 0x6e, 0x6a, 0x94, 0xd8, 0x1e, 0x4e, 0x41, 0x0f, 0xce, 0x81, 0x6a, 0xa8, 0x26, 0x56, 0x43, 0x52, 0x52, 0xe6, 0xff, 0x88, 0xcf, 0x47, 0x05, 0x1d, 0xff, 0xf3, 0xa0, 0x10, 0xb2, 0x97, 0x87, 0xeb, 0x47, 0xbb, 0xfa, 0x1f, 0xe8, 0x4c, 0xce, 0xc4, 0xcd, 0x93, + /* (2^397)P */ 0xf4, 0x11, 0xf5, 0x8d, 0x89, 0x29, 0x79, 0xb3, 0x59, 0x0b, 0x29, 0x7d, 0x9c, 0x12, 0x4a, 0x65, 0x72, 0x3a, 0xf9, 0xec, 0x37, 0x18, 0x86, 0xef, 0x44, 0x07, 0x25, 0x74, 0x76, 0x53, 0xed, 0x51, 0x01, 0xc6, 0x28, 0xc5, 0xc3, 0x4a, 0x0f, 0x99, 0xec, 0xc8, 0x40, 0x5a, 0x83, 0x30, 0x79, 0xa2, 0x3e, 0x63, 0x09, 0x2d, 0x6f, 0x23, 0x54, 0x1c, + /* (2^398)P */ 0x5c, 0x6f, 0x3b, 0x1c, 0x30, 0x77, 0x7e, 0x87, 0x66, 0x83, 0x2e, 0x7e, 0x85, 0x50, 0xfd, 0xa0, 0x7a, 0xc2, 0xf5, 0x0f, 0xc1, 0x64, 0xe7, 0x0b, 0xbd, 0x59, 0xa7, 0xe7, 0x65, 0x53, 0xc3, 0xf5, 0x55, 0x5b, 0xe1, 0x82, 0x30, 0x5a, 0x61, 0xcd, 0xa0, 0x89, 0x32, 0xdb, 0x87, 0xfc, 0x21, 0x8a, 0xab, 0x6d, 0x82, 0xa8, 0x42, 0x81, 0x4f, 0xf2, + /* (2^399)P */ 0xb3, 0xeb, 0x88, 0x18, 0xf6, 0x56, 0x96, 0xbf, 0xba, 0x5d, 0x71, 0xa1, 0x5a, 0xd1, 0x04, 0x7b, 0xd5, 0x46, 0x01, 0x74, 0xfe, 0x15, 0x25, 0xb7, 0xff, 0x0c, 0x24, 0x47, 0xac, 0xfd, 0xab, 0x47, 0x32, 0xe1, 0x6a, 0x4e, 0xca, 0xcf, 0x7f, 0xdd, 0xf8, 0xd2, 0x4b, 0x3b, 0xf5, 0x17, 0xba, 0xba, 0x8b, 0xa1, 0xec, 0x28, 0x3f, 0x97, 0xab, 0x2a, + /* (2^400)P */ 0x51, 0x38, 0xc9, 0x5e, 0xc6, 0xb3, 0x64, 0xf2, 0x24, 0x4d, 0x04, 0x7d, 0xc8, 0x39, 0x0c, 0x4a, 0xc9, 0x73, 0x74, 0x1b, 0x5c, 0xb2, 0xc5, 0x41, 0x62, 0xa0, 0x4c, 0x6d, 0x8d, 0x91, 0x9a, 0x7b, 0x88, 0xab, 0x9c, 0x7e, 0x23, 0xdb, 0x6f, 0xb5, 0x72, 0xd6, 0x47, 0x40, 0xef, 0x22, 0x58, 0x62, 0x19, 0x6c, 0x38, 0xba, 0x5b, 0x00, 0x30, 0x9f, + /* (2^401)P */ 0x65, 0xbb, 0x3b, 0x9b, 0xe9, 0xae, 0xbf, 0xbe, 0xe4, 0x13, 0x95, 0xf3, 0xe3, 0x77, 0xcb, 0xe4, 0x9a, 0x22, 0xb5, 0x4a, 0x08, 0x9d, 0xb3, 0x9e, 0x27, 0xe0, 0x15, 0x6c, 0x9f, 0x7e, 0x9a, 0x5e, 0x15, 0x45, 0x25, 0x8d, 0x01, 0x0a, 0xd2, 0x2b, 0xbd, 0x48, 0x06, 0x0d, 0x18, 0x97, 0x4b, 0xdc, 0xbc, 0xf0, 0xcd, 0xb2, 0x52, 0x3c, 0xac, 0xf5, + /* (2^402)P */ 0x3e, 0xed, 0x47, 0x6b, 0x5c, 0xf6, 0x76, 0xd0, 0xe9, 0x15, 0xa3, 0xcb, 0x36, 0x00, 0x21, 0xa3, 0x79, 0x20, 0xa5, 0x3e, 0x88, 0x03, 0xcb, 0x7e, 0x63, 0xbb, 0xed, 0xa9, 0x13, 0x35, 0x16, 0xaf, 0x2e, 0xb4, 0x70, 0x14, 0x93, 0xfb, 0xc4, 0x9b, 0xd8, 0xb1, 0xbe, 0x43, 0xd1, 0x85, 0xb8, 0x97, 0xef, 0xea, 0x88, 0xa1, 0x25, 0x52, 0x62, 0x75, + /* (2^403)P */ 0x8e, 0x4f, 0xaa, 0x23, 0x62, 0x7e, 0x2b, 0x37, 0x89, 0x00, 0x11, 0x30, 0xc5, 0x33, 0x4a, 0x89, 0x8a, 0xe2, 0xfc, 0x5c, 0x6a, 0x75, 0xe5, 0xf7, 0x02, 0x4a, 0x9b, 0xf7, 0xb5, 0x6a, 0x85, 0x31, 0xd3, 0x5a, 0xcf, 0xc3, 0xf8, 0xde, 0x2f, 0xcf, 0xb5, 0x24, 0xf4, 0xe3, 0xa1, 0xad, 0x42, 0xae, 0x09, 0xb9, 0x2e, 0x04, 0x2d, 0x01, 0x22, 0x3f, + /* (2^404)P */ 0x41, 0x16, 0xfb, 0x7d, 0x50, 0xfd, 0xb5, 0xba, 0x88, 0x24, 0xba, 0xfd, 0x3d, 0xb2, 0x90, 0x15, 0xb7, 0xfa, 0xa2, 0xe1, 0x4c, 0x7d, 0xb9, 0xc6, 0xff, 0x81, 0x57, 0xb6, 0xc2, 0x9e, 0xcb, 0xc4, 0x35, 0xbd, 0x01, 0xb7, 0xaa, 0xce, 0xd0, 0xe9, 0xb5, 0xd6, 0x72, 0xbf, 0xd2, 0xee, 0xc7, 0xac, 0x94, 0xff, 0x29, 0x57, 0x02, 0x49, 0x09, 0xad, + /* (2^405)P */ 0x27, 0xa5, 0x78, 0x1b, 0xbf, 0x6b, 0xaf, 0x0b, 0x8c, 0xd9, 0xa8, 0x37, 0xb0, 0x67, 0x18, 0xb6, 0xc7, 0x05, 0x8a, 0x67, 0x03, 0x30, 0x62, 0x6e, 0x56, 0x82, 0xa9, 0x54, 0x3e, 0x0c, 0x4e, 0x07, 0xe1, 0x5a, 0x38, 0xed, 0xfa, 0xc8, 0x55, 0x6b, 0x08, 0xa3, 0x6b, 0x64, 0x2a, 0x15, 0xd6, 0x39, 0x6f, 0x47, 0x99, 0x42, 0x3f, 0x33, 0x84, 0x8f, + /* (2^406)P */ 0xbc, 0x45, 0x29, 0x81, 0x0e, 0xa4, 0xc5, 0x72, 0x3a, 0x10, 0xe1, 0xc4, 0x1e, 0xda, 0xc3, 0xfe, 0xb0, 0xce, 0xd2, 0x13, 0x34, 0x67, 0x21, 0xc6, 0x7e, 0xf9, 0x8c, 0xff, 0x39, 0x50, 0xae, 0x92, 0x60, 0x35, 0x2f, 0x8b, 0x6e, 0xc9, 0xc1, 0x27, 0x3a, 0x94, 0x66, 0x3e, 0x26, 0x84, 0x93, 0xc8, 0x6c, 0xcf, 0xd2, 0x03, 0xa1, 0x10, 0xcf, 0xb7, + /* (2^407)P */ 0x64, 0xda, 0x19, 0xf6, 0xc5, 0x73, 0x17, 0x44, 0x88, 0x81, 0x07, 0x0d, 0x34, 0xb2, 0x75, 0xf9, 0xd9, 0xe2, 0xe0, 0x8b, 0x71, 0xcf, 0x72, 0x34, 0x83, 0xb4, 0xce, 0xfc, 0xd7, 0x29, 0x09, 0x5a, 0x98, 0xbf, 0x14, 0xac, 0x77, 0x55, 0x38, 0x47, 0x5b, 0x0f, 0x40, 0x24, 0xe5, 0xa5, 0xa6, 0xac, 0x2d, 0xa6, 0xff, 0x9c, 0x73, 0xfe, 0x5c, 0x7e, + /* (2^408)P */ 0x1e, 0x33, 0xcc, 0x68, 0xb2, 0xbc, 0x8c, 0x93, 0xaf, 0xcc, 0x38, 0xf8, 0xd9, 0x16, 0x72, 0x50, 0xac, 0xd9, 0xb5, 0x0b, 0x9a, 0xbe, 0x46, 0x7a, 0xf1, 0xee, 0xf1, 0xad, 0xec, 0x5b, 0x59, 0x27, 0x9c, 0x05, 0xa3, 0x87, 0xe0, 0x37, 0x2c, 0x83, 0xce, 0xb3, 0x65, 0x09, 0x8e, 0xc3, 0x9c, 0xbf, 0x6a, 0xa2, 0x00, 0xcc, 0x12, 0x36, 0xc5, 0x95, + /* (2^409)P */ 0x36, 0x11, 0x02, 0x14, 0x9c, 0x3c, 0xeb, 0x2f, 0x23, 0x5b, 0x6b, 0x2b, 0x08, 0x54, 0x53, 0xac, 0xb2, 0xa3, 0xe0, 0x26, 0x62, 0x3c, 0xe4, 0xe1, 0x81, 0xee, 0x13, 0x3e, 0xa4, 0x97, 0xef, 0xf9, 0x92, 0x27, 0x01, 0xce, 0x54, 0x8b, 0x3e, 0x31, 0xbe, 0xa7, 0x88, 0xcf, 0x47, 0x99, 0x3c, 0x10, 0x6f, 0x60, 0xb3, 0x06, 0x4e, 0xee, 0x1b, 0xf0, + /* (2^410)P */ 0x59, 0x49, 0x66, 0xcf, 0x22, 0xe6, 0xf6, 0x73, 0xfe, 0xa3, 0x1c, 0x09, 0xfa, 0x5f, 0x65, 0xa8, 0xf0, 0x82, 0xc2, 0xef, 0x16, 0x63, 0x6e, 0x79, 0x69, 0x51, 0x39, 0x07, 0x65, 0xc4, 0x81, 0xec, 0x73, 0x0f, 0x15, 0x93, 0xe1, 0x30, 0x33, 0xe9, 0x37, 0x86, 0x42, 0x4c, 0x1f, 0x9b, 0xad, 0xee, 0x3f, 0xf1, 0x2a, 0x8e, 0x6a, 0xa3, 0xc8, 0x35, + /* (2^411)P */ 0x1e, 0x49, 0xf1, 0xdd, 0xd2, 0x9c, 0x8e, 0x78, 0xb2, 0x06, 0xe4, 0x6a, 0xab, 0x3a, 0xdc, 0xcd, 0xf4, 0xeb, 0xe1, 0xe7, 0x2f, 0xaa, 0xeb, 0x40, 0x31, 0x9f, 0xb9, 0xab, 0x13, 0xa9, 0x78, 0xbf, 0x38, 0x89, 0x0e, 0x85, 0x14, 0x8b, 0x46, 0x76, 0x14, 0xda, 0xcf, 0x33, 0xc8, 0x79, 0xd3, 0xd5, 0xa3, 0x6a, 0x69, 0x45, 0x70, 0x34, 0xc3, 0xe9, + /* (2^412)P */ 0x5e, 0xe7, 0x78, 0xe9, 0x24, 0xcc, 0xe9, 0xf4, 0xc8, 0x6b, 0xe0, 0xfb, 0x3a, 0xbe, 0xcc, 0x42, 0x4a, 0x00, 0x22, 0xf8, 0xe6, 0x32, 0xbe, 0x6d, 0x18, 0x55, 0x60, 0xe9, 0x72, 0x69, 0x50, 0x56, 0xca, 0x04, 0x18, 0x38, 0xa1, 0xee, 0xd8, 0x38, 0x3c, 0xa7, 0x70, 0xe2, 0xb9, 0x4c, 0xa0, 0xc8, 0x89, 0x72, 0xcf, 0x49, 0x7f, 0xdf, 0xbc, 0x67, + /* (2^413)P */ 0x1d, 0x17, 0xcb, 0x0b, 0xbd, 0xb2, 0x36, 0xe3, 0xa8, 0x99, 0x31, 0xb6, 0x26, 0x9c, 0x0c, 0x74, 0xaf, 0x4d, 0x24, 0x61, 0xcf, 0x31, 0x7b, 0xed, 0xdd, 0xc3, 0xf6, 0x32, 0x70, 0xfe, 0x17, 0xf6, 0x51, 0x37, 0x65, 0xce, 0x5d, 0xaf, 0xa5, 0x2f, 0x2a, 0xfe, 0x00, 0x71, 0x7c, 0x50, 0xbe, 0x21, 0xc7, 0xed, 0xc6, 0xfc, 0x67, 0xcf, 0x9c, 0xdd, + /* (2^414)P */ 0x26, 0x3e, 0xf8, 0xbb, 0xd0, 0xb1, 0x01, 0xd8, 0xeb, 0x0b, 0x62, 0x87, 0x35, 0x4c, 0xde, 0xca, 0x99, 0x9c, 0x6d, 0xf7, 0xb6, 0xf0, 0x57, 0x0a, 0x52, 0x29, 0x6a, 0x3f, 0x26, 0x31, 0x04, 0x07, 0x2a, 0xc9, 0xfa, 0x9b, 0x0e, 0x62, 0x8e, 0x72, 0xf2, 0xad, 0xce, 0xb6, 0x35, 0x7a, 0xc1, 0xae, 0x35, 0xc7, 0xa3, 0x14, 0xcf, 0x0c, 0x28, 0xb7, + /* (2^415)P */ 0xa6, 0xf1, 0x32, 0x3a, 0x20, 0xd2, 0x24, 0x97, 0xcf, 0x5d, 0x37, 0x99, 0xaf, 0x33, 0x7a, 0x5b, 0x7a, 0xcc, 0x4e, 0x41, 0x38, 0xb1, 0x4e, 0xad, 0xc9, 0xd9, 0x71, 0x7e, 0xb2, 0xf5, 0xd5, 0x01, 0x6c, 0x4d, 0xfd, 0xa1, 0xda, 0x03, 0x38, 0x9b, 0x3d, 0x92, 0x92, 0xf2, 0xca, 0xbf, 0x1f, 0x24, 0xa4, 0xbb, 0x30, 0x6a, 0x74, 0x56, 0xc8, 0xce, + /* (2^416)P */ 0x27, 0xf4, 0xed, 0xc9, 0xc3, 0xb1, 0x79, 0x85, 0xbe, 0xf6, 0xeb, 0xf3, 0x55, 0xc7, 0xaa, 0xa6, 0xe9, 0x07, 0x5d, 0xf4, 0xeb, 0xa6, 0x81, 0xe3, 0x0e, 0xcf, 0xa3, 0xc1, 0xef, 0xe7, 0x34, 0xb2, 0x03, 0x73, 0x8a, 0x91, 0xf1, 0xad, 0x05, 0xc7, 0x0b, 0x43, 0x99, 0x12, 0x31, 0xc8, 0xc7, 0xc5, 0xa4, 0x3d, 0xcd, 0xe5, 0x4e, 0x6d, 0x24, 0xdd, + /* (2^417)P */ 0x61, 0x54, 0xd0, 0x95, 0x2c, 0x45, 0x75, 0xac, 0xb5, 0x1a, 0x9d, 0x11, 0xeb, 0xed, 0x6b, 0x57, 0xa3, 0xe6, 0xcd, 0x77, 0xd4, 0x83, 0x8e, 0x39, 0xf1, 0x0f, 0x98, 0xcb, 0x40, 0x02, 0x6e, 0x10, 0x82, 0x9e, 0xb4, 0x93, 0x76, 0xd7, 0x97, 0xa3, 0x53, 0x12, 0x86, 0xc6, 0x15, 0x78, 0x73, 0x93, 0xe7, 0x7f, 0xcf, 0x1f, 0xbf, 0xcd, 0xd2, 0x7a, + /* (2^418)P */ 0xc2, 0x21, 0xdc, 0xd5, 0x69, 0xff, 0xca, 0x49, 0x3a, 0xe1, 0xc3, 0x69, 0x41, 0x56, 0xc1, 0x76, 0x63, 0x24, 0xbd, 0x64, 0x1b, 0x3d, 0x92, 0xf9, 0x13, 0x04, 0x25, 0xeb, 0x27, 0xa6, 0xef, 0x39, 0x3a, 0x80, 0xe0, 0xf8, 0x27, 0xee, 0xc9, 0x49, 0x77, 0xef, 0x3f, 0x29, 0x3d, 0x5e, 0xe6, 0x66, 0x83, 0xd1, 0xf6, 0xfe, 0x9d, 0xbc, 0xf1, 0x96, + /* (2^419)P */ 0x6b, 0xc6, 0x99, 0x26, 0x3c, 0xf3, 0x63, 0xf9, 0xc7, 0x29, 0x8c, 0x52, 0x62, 0x2d, 0xdc, 0x8a, 0x66, 0xce, 0x2c, 0xa7, 0xe4, 0xf0, 0xd7, 0x37, 0x17, 0x1e, 0xe4, 0xa3, 0x53, 0x7b, 0x29, 0x8e, 0x60, 0x99, 0xf9, 0x0c, 0x7c, 0x6f, 0xa2, 0xcc, 0x9f, 0x80, 0xdd, 0x5e, 0x46, 0xaa, 0x0d, 0x6c, 0xc9, 0x6c, 0xf7, 0x78, 0x5b, 0x38, 0xe3, 0x24, + /* (2^420)P */ 0x4b, 0x75, 0x6a, 0x2f, 0x08, 0xe1, 0x72, 0x76, 0xab, 0x82, 0x96, 0xdf, 0x3b, 0x1f, 0x9b, 0xd8, 0xed, 0xdb, 0xcd, 0x15, 0x09, 0x5a, 0x1e, 0xb7, 0xc5, 0x26, 0x72, 0x07, 0x0c, 0x50, 0xcd, 0x3b, 0x4d, 0x3f, 0xa2, 0x67, 0xc2, 0x02, 0x61, 0x2e, 0x68, 0xe9, 0x6f, 0xf0, 0x21, 0x2a, 0xa7, 0x3b, 0x88, 0x04, 0x11, 0x64, 0x49, 0x0d, 0xb4, 0x46, + /* (2^421)P */ 0x63, 0x85, 0xf3, 0xc5, 0x2b, 0x5a, 0x9f, 0xf0, 0x17, 0xcb, 0x45, 0x0a, 0xf3, 0x6e, 0x7e, 0xb0, 0x7c, 0xbc, 0xf0, 0x4f, 0x3a, 0xb0, 0xbc, 0x36, 0x36, 0x52, 0x51, 0xcb, 0xfe, 0x9a, 0xcb, 0xe8, 0x7e, 0x4b, 0x06, 0x7f, 0xaa, 0x35, 0xc8, 0x0e, 0x7a, 0x30, 0xa3, 0xb1, 0x09, 0xbb, 0x86, 0x4c, 0xbe, 0xb8, 0xbd, 0xe0, 0x32, 0xa5, 0xd4, 0xf7, + /* (2^422)P */ 0x7d, 0x50, 0x37, 0x68, 0x4e, 0x22, 0xb2, 0x2c, 0xd5, 0x0f, 0x2b, 0x6d, 0xb1, 0x51, 0xf2, 0x82, 0xe9, 0x98, 0x7c, 0x50, 0xc7, 0x96, 0x7e, 0x0e, 0xdc, 0xb1, 0x0e, 0xb2, 0x63, 0x8c, 0x30, 0x37, 0x72, 0x21, 0x9c, 0x61, 0xc2, 0xa7, 0x33, 0xd9, 0xb2, 0x63, 0x93, 0xd1, 0x6b, 0x6a, 0x73, 0xa5, 0x58, 0x80, 0xff, 0x04, 0xc7, 0x83, 0x21, 0x29, + /* (2^423)P */ 0x29, 0x04, 0xbc, 0x99, 0x39, 0xc9, 0x58, 0xc9, 0x6b, 0x17, 0xe8, 0x90, 0xb3, 0xe6, 0xa9, 0xb6, 0x28, 0x9b, 0xcb, 0x3b, 0x28, 0x90, 0x68, 0x71, 0xff, 0xcf, 0x08, 0x78, 0xc9, 0x8d, 0xa8, 0x4e, 0x43, 0xd1, 0x1c, 0x9e, 0xa4, 0xe3, 0xdf, 0xbf, 0x92, 0xf4, 0xf9, 0x41, 0xba, 0x4d, 0x1c, 0xf9, 0xdd, 0x74, 0x76, 0x1c, 0x6e, 0x3e, 0x94, 0x87, + /* (2^424)P */ 0xe4, 0xda, 0xc5, 0xd7, 0xfb, 0x87, 0xc5, 0x4d, 0x6b, 0x19, 0xaa, 0xb9, 0xbc, 0x8c, 0xf2, 0x8a, 0xd8, 0x5d, 0xdb, 0x4d, 0xef, 0xa6, 0xf2, 0x65, 0xf1, 0x22, 0x9c, 0xf1, 0x46, 0x30, 0x71, 0x7c, 0xe4, 0x53, 0x8e, 0x55, 0x2e, 0x9c, 0x9a, 0x31, 0x2a, 0xc3, 0xab, 0x0f, 0xde, 0xe4, 0xbe, 0xd8, 0x96, 0x50, 0x6e, 0x0c, 0x54, 0x49, 0xe6, 0xec, + /* (2^425)P */ 0x3c, 0x1d, 0x5a, 0xa5, 0xda, 0xad, 0xdd, 0xc2, 0xae, 0xac, 0x6f, 0x86, 0x75, 0x31, 0x91, 0x64, 0x45, 0x9d, 0xa4, 0xf0, 0x81, 0xf1, 0x0e, 0xba, 0x74, 0xaf, 0x7b, 0xcd, 0x6f, 0xfe, 0xac, 0x4e, 0xdb, 0x4e, 0x45, 0x35, 0x36, 0xc5, 0xc0, 0x6c, 0x3d, 0x64, 0xf4, 0xd8, 0x07, 0x62, 0xd1, 0xec, 0xf3, 0xfc, 0x93, 0xc9, 0x28, 0x0c, 0x2c, 0xf3, + /* (2^426)P */ 0x0c, 0x69, 0x2b, 0x5c, 0xb6, 0x41, 0x69, 0xf1, 0xa4, 0xf1, 0x5b, 0x75, 0x4c, 0x42, 0x8b, 0x47, 0xeb, 0x69, 0xfb, 0xa8, 0xe6, 0xf9, 0x7b, 0x48, 0x50, 0xaf, 0xd3, 0xda, 0xb2, 0x35, 0x10, 0xb5, 0x5b, 0x40, 0x90, 0x39, 0xc9, 0x07, 0x06, 0x73, 0x26, 0x20, 0x95, 0x01, 0xa4, 0x2d, 0xf0, 0xe7, 0x2e, 0x00, 0x7d, 0x41, 0x09, 0x68, 0x13, 0xc4, + /* (2^427)P */ 0xbe, 0x38, 0x78, 0xcf, 0xc9, 0x4f, 0x36, 0xca, 0x09, 0x61, 0x31, 0x3c, 0x57, 0x2e, 0xec, 0x17, 0xa4, 0x7d, 0x19, 0x2b, 0x9b, 0x5b, 0xbe, 0x8f, 0xd6, 0xc5, 0x2f, 0x86, 0xf2, 0x64, 0x76, 0x17, 0x00, 0x6e, 0x1a, 0x8c, 0x67, 0x1b, 0x68, 0xeb, 0x15, 0xa2, 0xd6, 0x09, 0x91, 0xdd, 0x23, 0x0d, 0x98, 0xb2, 0x10, 0x19, 0x55, 0x9b, 0x63, 0xf2, + /* (2^428)P */ 0x51, 0x1f, 0x93, 0xea, 0x2a, 0x3a, 0xfa, 0x41, 0xc0, 0x57, 0xfb, 0x74, 0xa6, 0x65, 0x09, 0x56, 0x14, 0xb6, 0x12, 0xaa, 0xb3, 0x1a, 0x8d, 0x3b, 0x76, 0x91, 0x7a, 0x23, 0x56, 0x9c, 0x6a, 0xc0, 0xe0, 0x3c, 0x3f, 0xb5, 0x1a, 0xf4, 0x57, 0x71, 0x93, 0x2b, 0xb1, 0xa7, 0x70, 0x57, 0x22, 0x80, 0xf5, 0xb8, 0x07, 0x77, 0x87, 0x0c, 0xbe, 0x83, + /* (2^429)P */ 0x07, 0x9b, 0x0e, 0x52, 0x38, 0x63, 0x13, 0x86, 0x6a, 0xa6, 0xb4, 0xd2, 0x60, 0x68, 0x9a, 0x99, 0x82, 0x0a, 0x04, 0x5f, 0x89, 0x7a, 0x1a, 0x2a, 0xae, 0x2d, 0x35, 0x0c, 0x1e, 0xad, 0xef, 0x4f, 0x9a, 0xfc, 0xc8, 0xd9, 0xcf, 0x9d, 0x48, 0x71, 0xa5, 0x55, 0x79, 0x73, 0x39, 0x1b, 0xd8, 0x73, 0xec, 0x9b, 0x03, 0x16, 0xd8, 0x82, 0xf7, 0x67, + /* (2^430)P */ 0x52, 0x67, 0x42, 0x21, 0xc9, 0x40, 0x78, 0x82, 0x2b, 0x95, 0x2d, 0x20, 0x92, 0xd1, 0xe2, 0x61, 0x25, 0xb0, 0xc6, 0x9c, 0x20, 0x59, 0x8e, 0x28, 0x6f, 0xf3, 0xfd, 0xd3, 0xc1, 0x32, 0x43, 0xc9, 0xa6, 0x08, 0x7a, 0x77, 0x9c, 0x4c, 0x8c, 0x33, 0x71, 0x13, 0x69, 0xe3, 0x52, 0x30, 0xa7, 0xf5, 0x07, 0x67, 0xac, 0xad, 0x46, 0x8a, 0x26, 0x25, + /* (2^431)P */ 0xda, 0x86, 0xc4, 0xa2, 0x71, 0x56, 0xdd, 0xd2, 0x48, 0xd3, 0xde, 0x42, 0x63, 0x01, 0xa7, 0x2c, 0x92, 0x83, 0x6f, 0x2e, 0xd8, 0x1e, 0x3f, 0xc1, 0xc5, 0x42, 0x4e, 0x34, 0x19, 0x54, 0x6e, 0x35, 0x2c, 0x51, 0x2e, 0xfd, 0x0f, 0x9a, 0x45, 0x66, 0x5e, 0x4a, 0x83, 0xda, 0x0a, 0x53, 0x68, 0x63, 0xfa, 0xce, 0x47, 0x20, 0xd3, 0x34, 0xba, 0x0d, + /* (2^432)P */ 0xd0, 0xe9, 0x64, 0xa4, 0x61, 0x4b, 0x86, 0xe5, 0x93, 0x6f, 0xda, 0x0e, 0x31, 0x7e, 0x6e, 0xe3, 0xc6, 0x73, 0xd8, 0xa3, 0x08, 0x57, 0x52, 0xcd, 0x51, 0x63, 0x1d, 0x9f, 0x93, 0x00, 0x62, 0x91, 0x26, 0x21, 0xa7, 0xdd, 0x25, 0x0f, 0x09, 0x0d, 0x35, 0xad, 0xcf, 0x11, 0x8e, 0x6e, 0xe8, 0xae, 0x1d, 0x95, 0xcb, 0x88, 0xf8, 0x70, 0x7b, 0x91, + /* (2^433)P */ 0x0c, 0x19, 0x5c, 0xd9, 0x8d, 0xda, 0x9d, 0x2c, 0x90, 0x54, 0x65, 0xe8, 0xb6, 0x35, 0x50, 0xae, 0xea, 0xae, 0x43, 0xb7, 0x1e, 0x99, 0x8b, 0x4c, 0x36, 0x4e, 0xe4, 0x1e, 0xc4, 0x64, 0x43, 0xb6, 0xeb, 0xd4, 0xe9, 0x60, 0x22, 0xee, 0xcf, 0xb8, 0x52, 0x1b, 0xf0, 0x04, 0xce, 0xbc, 0x2b, 0xf0, 0xbe, 0xcd, 0x44, 0x74, 0x1e, 0x1f, 0x63, 0xf9, + /* (2^434)P */ 0xe1, 0x3f, 0x95, 0x94, 0xb2, 0xb6, 0x31, 0xa9, 0x1b, 0xdb, 0xfd, 0x0e, 0xdb, 0xdd, 0x1a, 0x22, 0x78, 0x60, 0x9f, 0x75, 0x5f, 0x93, 0x06, 0x0c, 0xd8, 0xbb, 0xa2, 0x85, 0x2b, 0x5e, 0xc0, 0x9b, 0xa8, 0x5d, 0xaf, 0x93, 0x91, 0x91, 0x47, 0x41, 0x1a, 0xfc, 0xb4, 0x51, 0x85, 0xad, 0x69, 0x4d, 0x73, 0x69, 0xd5, 0x4e, 0x82, 0xfb, 0x66, 0xcb, + /* (2^435)P */ 0x7c, 0xbe, 0xc7, 0x51, 0xc4, 0x74, 0x6e, 0xab, 0xfd, 0x41, 0x4f, 0x76, 0x4f, 0x24, 0x03, 0xd6, 0x2a, 0xb7, 0x42, 0xb4, 0xda, 0x41, 0x2c, 0x82, 0x48, 0x4c, 0x7f, 0x6f, 0x25, 0x5d, 0x36, 0xd4, 0x69, 0xf5, 0xef, 0x02, 0x81, 0xea, 0x6f, 0x19, 0x69, 0xe8, 0x6f, 0x5b, 0x2f, 0x14, 0x0e, 0x6f, 0x89, 0xb4, 0xb5, 0xd8, 0xae, 0xef, 0x7b, 0x87, + /* (2^436)P */ 0xe9, 0x91, 0xa0, 0x8b, 0xc9, 0xe0, 0x01, 0x90, 0x37, 0xc1, 0x6f, 0xdc, 0x5e, 0xf7, 0xbf, 0x43, 0x00, 0xaa, 0x10, 0x76, 0x76, 0x18, 0x6e, 0x19, 0x1e, 0x94, 0x50, 0x11, 0x0a, 0xd1, 0xe2, 0xdb, 0x08, 0x21, 0xa0, 0x1f, 0xdb, 0x54, 0xfe, 0xea, 0x6e, 0xa3, 0x68, 0x56, 0x87, 0x0b, 0x22, 0x4e, 0x66, 0xf3, 0x82, 0x82, 0x00, 0xcd, 0xd4, 0x12, + /* (2^437)P */ 0x25, 0x8e, 0x24, 0x77, 0x64, 0x4c, 0xe0, 0xf8, 0x18, 0xc0, 0xdc, 0xc7, 0x1b, 0x35, 0x65, 0xde, 0x67, 0x41, 0x5e, 0x6f, 0x90, 0x82, 0xa7, 0x2e, 0x6d, 0xf1, 0x47, 0xb4, 0x92, 0x9c, 0xfd, 0x6a, 0x9a, 0x41, 0x36, 0x20, 0x24, 0x58, 0xc3, 0x59, 0x07, 0x9a, 0xfa, 0x9f, 0x03, 0xcb, 0xc7, 0x69, 0x37, 0x60, 0xe1, 0xab, 0x13, 0x72, 0xee, 0xa2, + /* (2^438)P */ 0x74, 0x78, 0xfb, 0x13, 0xcb, 0x8e, 0x37, 0x1a, 0xf6, 0x1d, 0x17, 0x83, 0x06, 0xd4, 0x27, 0x06, 0x21, 0xe8, 0xda, 0xdf, 0x6b, 0xf3, 0x83, 0x6b, 0x34, 0x8a, 0x8c, 0xee, 0x01, 0x05, 0x5b, 0xed, 0xd3, 0x1b, 0xc9, 0x64, 0x83, 0xc9, 0x49, 0xc2, 0x57, 0x1b, 0xdd, 0xcf, 0xf1, 0x9d, 0x63, 0xee, 0x1c, 0x0d, 0xa0, 0x0a, 0x73, 0x1f, 0x5b, 0x32, + /* (2^439)P */ 0x29, 0xce, 0x1e, 0xc0, 0x6a, 0xf5, 0xeb, 0x99, 0x5a, 0x39, 0x23, 0xe9, 0xdd, 0xac, 0x44, 0x88, 0xbc, 0x80, 0x22, 0xde, 0x2c, 0xcb, 0xa8, 0x3b, 0xff, 0xf7, 0x6f, 0xc7, 0x71, 0x72, 0xa8, 0xa3, 0xf6, 0x4d, 0xc6, 0x75, 0xda, 0x80, 0xdc, 0xd9, 0x30, 0xd9, 0x07, 0x50, 0x5a, 0x54, 0x7d, 0xda, 0x39, 0x6f, 0x78, 0x94, 0xbf, 0x25, 0x98, 0xdc, + /* (2^440)P */ 0x01, 0x26, 0x62, 0x44, 0xfb, 0x0f, 0x11, 0x72, 0x73, 0x0a, 0x16, 0xc7, 0x16, 0x9c, 0x9b, 0x37, 0xd8, 0xff, 0x4f, 0xfe, 0x57, 0xdb, 0xae, 0xef, 0x7d, 0x94, 0x30, 0x04, 0x70, 0x83, 0xde, 0x3c, 0xd4, 0xb5, 0x70, 0xda, 0xa7, 0x55, 0xc8, 0x19, 0xe1, 0x36, 0x15, 0x61, 0xe7, 0x3b, 0x7d, 0x85, 0xbb, 0xf3, 0x42, 0x5a, 0x94, 0xf4, 0x53, 0x2a, + /* (2^441)P */ 0x14, 0x60, 0xa6, 0x0b, 0x83, 0xe1, 0x23, 0x77, 0xc0, 0xce, 0x50, 0xed, 0x35, 0x8d, 0x98, 0x99, 0x7d, 0xf5, 0x8d, 0xce, 0x94, 0x25, 0xc8, 0x0f, 0x6d, 0xfa, 0x4a, 0xa4, 0x3a, 0x1f, 0x66, 0xfb, 0x5a, 0x64, 0xaf, 0x8b, 0x54, 0x54, 0x44, 0x3f, 0x5b, 0x88, 0x61, 0xe4, 0x48, 0x45, 0x26, 0x20, 0xbe, 0x0d, 0x06, 0xbb, 0x65, 0x59, 0xe1, 0x36, + /* (2^442)P */ 0xb7, 0x98, 0xce, 0xa3, 0xe3, 0xee, 0x11, 0x1b, 0x9e, 0x24, 0x59, 0x75, 0x31, 0x37, 0x44, 0x6f, 0x6b, 0x9e, 0xec, 0xb7, 0x44, 0x01, 0x7e, 0xab, 0xbb, 0x69, 0x5d, 0x11, 0xb0, 0x30, 0x64, 0xea, 0x91, 0xb4, 0x7a, 0x8c, 0x02, 0x4c, 0xb9, 0x10, 0xa7, 0xc7, 0x79, 0xe6, 0xdc, 0x77, 0xe3, 0xc8, 0xef, 0x3e, 0xf9, 0x38, 0x81, 0xce, 0x9a, 0xb2, + /* (2^443)P */ 0x91, 0x12, 0x76, 0xd0, 0x10, 0xb4, 0xaf, 0xe1, 0x89, 0x3a, 0x93, 0x6b, 0x5c, 0x19, 0x5f, 0x24, 0xed, 0x04, 0x92, 0xc7, 0xf0, 0x00, 0x08, 0xc1, 0x92, 0xff, 0x90, 0xdb, 0xb2, 0xbf, 0xdf, 0x49, 0xcd, 0xbd, 0x5c, 0x6e, 0xbf, 0x16, 0xbb, 0x61, 0xf9, 0x20, 0x33, 0x35, 0x93, 0x11, 0xbc, 0x59, 0x69, 0xce, 0x18, 0x9f, 0xf8, 0x7b, 0xa1, 0x6e, + /* (2^444)P */ 0xa1, 0xf4, 0xaf, 0xad, 0xf8, 0xe6, 0x99, 0xd2, 0xa1, 0x4d, 0xde, 0x56, 0xc9, 0x7b, 0x0b, 0x11, 0x3e, 0xbf, 0x89, 0x1a, 0x9a, 0x90, 0xe5, 0xe2, 0xa6, 0x37, 0x88, 0xa1, 0x68, 0x59, 0xae, 0x8c, 0xec, 0x02, 0x14, 0x8d, 0xb7, 0x2e, 0x25, 0x75, 0x7f, 0x76, 0x1a, 0xd3, 0x4d, 0xad, 0x8a, 0x00, 0x6c, 0x96, 0x49, 0xa4, 0xc3, 0x2e, 0x5c, 0x7b, + /* (2^445)P */ 0x26, 0x53, 0xf7, 0xda, 0xa8, 0x01, 0x14, 0xb1, 0x63, 0xe3, 0xc3, 0x89, 0x88, 0xb0, 0x85, 0x40, 0x2b, 0x26, 0x9a, 0x10, 0x1a, 0x70, 0x33, 0xf4, 0x50, 0x9d, 0x4d, 0xd8, 0x64, 0xc6, 0x0f, 0xe1, 0x17, 0xc8, 0x10, 0x4b, 0xfc, 0xa0, 0xc9, 0xba, 0x2c, 0x98, 0x09, 0xf5, 0x84, 0xb6, 0x7c, 0x4e, 0xa3, 0xe3, 0x81, 0x1b, 0x32, 0x60, 0x02, 0xdd, + /* (2^446)P */ 0xa3, 0xe5, 0x86, 0xd4, 0x43, 0xa8, 0xd1, 0x98, 0x9d, 0x9d, 0xdb, 0x04, 0xcf, 0x6e, 0x35, 0x05, 0x30, 0x53, 0x3b, 0xbc, 0x90, 0x00, 0x4a, 0xc5, 0x40, 0x2a, 0x0f, 0xde, 0x1a, 0xd7, 0x36, 0x27, 0x44, 0x62, 0xa6, 0xac, 0x9d, 0xd2, 0x70, 0x69, 0x14, 0x39, 0x9b, 0xd1, 0xc3, 0x0a, 0x3a, 0x82, 0x0e, 0xf1, 0x94, 0xd7, 0x42, 0x94, 0xd5, 0x7d, + /* (2^447)P */ 0x04, 0xc0, 0x6e, 0x12, 0x90, 0x70, 0xf9, 0xdf, 0xf7, 0xc9, 0x86, 0xc0, 0xe6, 0x92, 0x8b, 0x0a, 0xa1, 0xc1, 0x3b, 0xcc, 0x33, 0xb7, 0xf0, 0xeb, 0x51, 0x50, 0x80, 0x20, 0x69, 0x1c, 0x4f, 0x89, 0x05, 0x1e, 0xe4, 0x7a, 0x0a, 0xc2, 0xf0, 0xf5, 0x78, 0x91, 0x76, 0x34, 0x45, 0xdc, 0x24, 0x53, 0x24, 0x98, 0xe2, 0x73, 0x6f, 0xe6, 0x46, 0x67, +} diff --git a/vendor/github.com/cloudflare/circl/ecc/goldilocks/constants.go b/vendor/github.com/cloudflare/circl/ecc/goldilocks/constants.go new file mode 100644 index 0000000000..b6b236e5d3 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/ecc/goldilocks/constants.go @@ -0,0 +1,71 @@ +package goldilocks + +import fp "github.com/cloudflare/circl/math/fp448" + +var ( + // genX is the x-coordinate of the generator of Goldilocks curve. + genX = fp.Elt{ + 0x5e, 0xc0, 0x0c, 0xc7, 0x2b, 0xa8, 0x26, 0x26, + 0x8e, 0x93, 0x00, 0x8b, 0xe1, 0x80, 0x3b, 0x43, + 0x11, 0x65, 0xb6, 0x2a, 0xf7, 0x1a, 0xae, 0x12, + 0x64, 0xa4, 0xd3, 0xa3, 0x24, 0xe3, 0x6d, 0xea, + 0x67, 0x17, 0x0f, 0x47, 0x70, 0x65, 0x14, 0x9e, + 0xda, 0x36, 0xbf, 0x22, 0xa6, 0x15, 0x1d, 0x22, + 0xed, 0x0d, 0xed, 0x6b, 0xc6, 0x70, 0x19, 0x4f, + } + // genY is the y-coordinate of the generator of Goldilocks curve. + genY = fp.Elt{ + 0x14, 0xfa, 0x30, 0xf2, 0x5b, 0x79, 0x08, 0x98, + 0xad, 0xc8, 0xd7, 0x4e, 0x2c, 0x13, 0xbd, 0xfd, + 0xc4, 0x39, 0x7c, 0xe6, 0x1c, 0xff, 0xd3, 0x3a, + 0xd7, 0xc2, 0xa0, 0x05, 0x1e, 0x9c, 0x78, 0x87, + 0x40, 0x98, 0xa3, 0x6c, 0x73, 0x73, 0xea, 0x4b, + 0x62, 0xc7, 0xc9, 0x56, 0x37, 0x20, 0x76, 0x88, + 0x24, 0xbc, 0xb6, 0x6e, 0x71, 0x46, 0x3f, 0x69, + } + // paramD is -39081 in Fp. + paramD = fp.Elt{ + 0x56, 0x67, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + } + // order is 2^446-0x8335dc163bb124b65129c96fde933d8d723a70aadc873d6d54a7bb0d, + // which is the number of points in the prime subgroup. + order = Scalar{ + 0xf3, 0x44, 0x58, 0xab, 0x92, 0xc2, 0x78, 0x23, + 0x55, 0x8f, 0xc5, 0x8d, 0x72, 0xc2, 0x6c, 0x21, + 0x90, 0x36, 0xd6, 0xae, 0x49, 0xdb, 0x4e, 0xc4, + 0xe9, 0x23, 0xca, 0x7c, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, + } + // residue448 is 2^448 mod order. + residue448 = [4]uint64{ + 0x721cf5b5529eec34, 0x7a4cf635c8e9c2ab, 0xeec492d944a725bf, 0x20cd77058, + } + // invFour is 1/4 mod order. + invFour = Scalar{ + 0x3d, 0x11, 0xd6, 0xaa, 0xa4, 0x30, 0xde, 0x48, + 0xd5, 0x63, 0x71, 0xa3, 0x9c, 0x30, 0x5b, 0x08, + 0xa4, 0x8d, 0xb5, 0x6b, 0xd2, 0xb6, 0x13, 0x71, + 0xfa, 0x88, 0x32, 0xdf, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x0f, + } + // paramDTwist is -39082 in Fp. The D parameter of the twist curve. + paramDTwist = fp.Elt{ + 0x55, 0x67, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + } +) diff --git a/vendor/github.com/cloudflare/circl/ecc/goldilocks/curve.go b/vendor/github.com/cloudflare/circl/ecc/goldilocks/curve.go new file mode 100644 index 0000000000..5a939100d2 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/ecc/goldilocks/curve.go @@ -0,0 +1,80 @@ +// Package goldilocks provides elliptic curve operations over the goldilocks curve. +package goldilocks + +import fp "github.com/cloudflare/circl/math/fp448" + +// Curve is the Goldilocks curve x^2+y^2=z^2-39081x^2y^2. +type Curve struct{} + +// Identity returns the identity point. +func (Curve) Identity() *Point { + return &Point{ + y: fp.One(), + z: fp.One(), + } +} + +// IsOnCurve returns true if the point lies on the curve. +func (Curve) IsOnCurve(P *Point) bool { + x2, y2, t, t2, z2 := &fp.Elt{}, &fp.Elt{}, &fp.Elt{}, &fp.Elt{}, &fp.Elt{} + rhs, lhs := &fp.Elt{}, &fp.Elt{} + fp.Mul(t, &P.ta, &P.tb) // t = ta*tb + fp.Sqr(x2, &P.x) // x^2 + fp.Sqr(y2, &P.y) // y^2 + fp.Sqr(z2, &P.z) // z^2 + fp.Sqr(t2, t) // t^2 + fp.Add(lhs, x2, y2) // x^2 + y^2 + fp.Mul(rhs, t2, ¶mD) // dt^2 + fp.Add(rhs, rhs, z2) // z^2 + dt^2 + fp.Sub(lhs, lhs, rhs) // x^2 + y^2 - (z^2 + dt^2) + eq0 := fp.IsZero(lhs) + + fp.Mul(lhs, &P.x, &P.y) // xy + fp.Mul(rhs, t, &P.z) // tz + fp.Sub(lhs, lhs, rhs) // xy - tz + eq1 := fp.IsZero(lhs) + return eq0 && eq1 +} + +// Generator returns the generator point. +func (Curve) Generator() *Point { + return &Point{ + x: genX, + y: genY, + z: fp.One(), + ta: genX, + tb: genY, + } +} + +// Order returns the number of points in the prime subgroup. +func (Curve) Order() Scalar { return order } + +// Double returns 2P. +func (Curve) Double(P *Point) *Point { R := *P; R.Double(); return &R } + +// Add returns P+Q. +func (Curve) Add(P, Q *Point) *Point { R := *P; R.Add(Q); return &R } + +// ScalarMult returns kP. This function runs in constant time. +func (e Curve) ScalarMult(k *Scalar, P *Point) *Point { + k4 := &Scalar{} + k4.divBy4(k) + return e.pull(twistCurve{}.ScalarMult(k4, e.push(P))) +} + +// ScalarBaseMult returns kG where G is the generator point. This function runs in constant time. +func (e Curve) ScalarBaseMult(k *Scalar) *Point { + k4 := &Scalar{} + k4.divBy4(k) + return e.pull(twistCurve{}.ScalarBaseMult(k4)) +} + +// CombinedMult returns mG+nP, where G is the generator point. This function is non-constant time. +func (e Curve) CombinedMult(m, n *Scalar, P *Point) *Point { + m4 := &Scalar{} + n4 := &Scalar{} + m4.divBy4(m) + n4.divBy4(n) + return e.pull(twistCurve{}.CombinedMult(m4, n4, twistCurve{}.pull(P))) +} diff --git a/vendor/github.com/cloudflare/circl/ecc/goldilocks/isogeny.go b/vendor/github.com/cloudflare/circl/ecc/goldilocks/isogeny.go new file mode 100644 index 0000000000..b1daab851c --- /dev/null +++ b/vendor/github.com/cloudflare/circl/ecc/goldilocks/isogeny.go @@ -0,0 +1,52 @@ +package goldilocks + +import fp "github.com/cloudflare/circl/math/fp448" + +func (Curve) pull(P *twistPoint) *Point { return twistCurve{}.push(P) } +func (twistCurve) pull(P *Point) *twistPoint { return Curve{}.push(P) } + +// push sends a point on the Goldilocks curve to a point on the twist curve. +func (Curve) push(P *Point) *twistPoint { + Q := &twistPoint{} + Px, Py, Pz := &P.x, &P.y, &P.z + a, b, c, d, e, f, g, h := &Q.x, &Q.y, &Q.z, &fp.Elt{}, &Q.ta, &Q.x, &Q.y, &Q.tb + fp.Add(e, Px, Py) // x+y + fp.Sqr(a, Px) // A = x^2 + fp.Sqr(b, Py) // B = y^2 + fp.Sqr(c, Pz) // z^2 + fp.Add(c, c, c) // C = 2*z^2 + *d = *a // D = A + fp.Sqr(e, e) // (x+y)^2 + fp.Sub(e, e, a) // (x+y)^2-A + fp.Sub(e, e, b) // E = (x+y)^2-A-B + fp.Add(h, b, d) // H = B+D + fp.Sub(g, b, d) // G = B-D + fp.Sub(f, c, h) // F = C-H + fp.Mul(&Q.z, f, g) // Z = F * G + fp.Mul(&Q.x, e, f) // X = E * F + fp.Mul(&Q.y, g, h) // Y = G * H, // T = E * H + return Q +} + +// push sends a point on the twist curve to a point on the Goldilocks curve. +func (twistCurve) push(P *twistPoint) *Point { + Q := &Point{} + Px, Py, Pz := &P.x, &P.y, &P.z + a, b, c, d, e, f, g, h := &Q.x, &Q.y, &Q.z, &fp.Elt{}, &Q.ta, &Q.x, &Q.y, &Q.tb + fp.Add(e, Px, Py) // x+y + fp.Sqr(a, Px) // A = x^2 + fp.Sqr(b, Py) // B = y^2 + fp.Sqr(c, Pz) // z^2 + fp.Add(c, c, c) // C = 2*z^2 + fp.Neg(d, a) // D = -A + fp.Sqr(e, e) // (x+y)^2 + fp.Sub(e, e, a) // (x+y)^2-A + fp.Sub(e, e, b) // E = (x+y)^2-A-B + fp.Add(h, b, d) // H = B+D + fp.Sub(g, b, d) // G = B-D + fp.Sub(f, c, h) // F = C-H + fp.Mul(&Q.z, f, g) // Z = F * G + fp.Mul(&Q.x, e, f) // X = E * F + fp.Mul(&Q.y, g, h) // Y = G * H, // T = E * H + return Q +} diff --git a/vendor/github.com/cloudflare/circl/ecc/goldilocks/point.go b/vendor/github.com/cloudflare/circl/ecc/goldilocks/point.go new file mode 100644 index 0000000000..a3ddc7cc0f --- /dev/null +++ b/vendor/github.com/cloudflare/circl/ecc/goldilocks/point.go @@ -0,0 +1,171 @@ +package goldilocks + +import ( + "errors" + "fmt" + + fp "github.com/cloudflare/circl/math/fp448" +) + +// Point is a point on the Goldilocks Curve. +type Point struct{ x, y, z, ta, tb fp.Elt } + +func (P Point) String() string { + return fmt.Sprintf("x: %v\ny: %v\nz: %v\nta: %v\ntb: %v", P.x, P.y, P.z, P.ta, P.tb) +} + +// FromAffine creates a point from affine coordinates. +func FromAffine(x, y *fp.Elt) (*Point, error) { + P := &Point{ + x: *x, + y: *y, + z: fp.One(), + ta: *x, + tb: *y, + } + if !(Curve{}).IsOnCurve(P) { + return P, errors.New("point not on curve") + } + return P, nil +} + +// isLessThan returns true if 0 <= x < y, and assumes that slices are of the +// same length and are interpreted in little-endian order. +func isLessThan(x, y []byte) bool { + i := len(x) - 1 + for i > 0 && x[i] == y[i] { + i-- + } + return x[i] < y[i] +} + +// FromBytes returns a point from the input buffer. +func FromBytes(in []byte) (*Point, error) { + if len(in) < fp.Size+1 { + return nil, errors.New("wrong input length") + } + var err = errors.New("invalid decoding") + P := &Point{} + signX := in[fp.Size] >> 7 + copy(P.y[:], in[:fp.Size]) + p := fp.P() + if !isLessThan(P.y[:], p[:]) { + return nil, err + } + + u, v := &fp.Elt{}, &fp.Elt{} + one := fp.One() + fp.Sqr(u, &P.y) // u = y^2 + fp.Mul(v, u, ¶mD) // v = dy^2 + fp.Sub(u, u, &one) // u = y^2-1 + fp.Sub(v, v, &one) // v = dy^2-1 + isQR := fp.InvSqrt(&P.x, u, v) // x = sqrt(u/v) + if !isQR { + return nil, err + } + fp.Modp(&P.x) // x = x mod p + if fp.IsZero(&P.x) && signX == 1 { + return nil, err + } + if signX != (P.x[0] & 1) { + fp.Neg(&P.x, &P.x) + } + P.ta = P.x + P.tb = P.y + P.z = fp.One() + return P, nil +} + +// IsIdentity returns true is P is the identity Point. +func (P *Point) IsIdentity() bool { + return fp.IsZero(&P.x) && !fp.IsZero(&P.y) && !fp.IsZero(&P.z) && P.y == P.z +} + +// IsEqual returns true if P is equivalent to Q. +func (P *Point) IsEqual(Q *Point) bool { + l, r := &fp.Elt{}, &fp.Elt{} + fp.Mul(l, &P.x, &Q.z) + fp.Mul(r, &Q.x, &P.z) + fp.Sub(l, l, r) + b := fp.IsZero(l) + fp.Mul(l, &P.y, &Q.z) + fp.Mul(r, &Q.y, &P.z) + fp.Sub(l, l, r) + b = b && fp.IsZero(l) + fp.Mul(l, &P.ta, &P.tb) + fp.Mul(l, l, &Q.z) + fp.Mul(r, &Q.ta, &Q.tb) + fp.Mul(r, r, &P.z) + fp.Sub(l, l, r) + b = b && fp.IsZero(l) + return b +} + +// Neg obtains the inverse of the Point. +func (P *Point) Neg() { fp.Neg(&P.x, &P.x); fp.Neg(&P.ta, &P.ta) } + +// ToAffine returns the x,y affine coordinates of P. +func (P *Point) ToAffine() (x, y fp.Elt) { + fp.Inv(&P.z, &P.z) // 1/z + fp.Mul(&P.x, &P.x, &P.z) // x/z + fp.Mul(&P.y, &P.y, &P.z) // y/z + fp.Modp(&P.x) + fp.Modp(&P.y) + fp.SetOne(&P.z) + P.ta = P.x + P.tb = P.y + return P.x, P.y +} + +// ToBytes stores P into a slice of bytes. +func (P *Point) ToBytes(out []byte) error { + if len(out) < fp.Size+1 { + return errors.New("invalid decoding") + } + x, y := P.ToAffine() + out[fp.Size] = (x[0] & 1) << 7 + return fp.ToBytes(out[:fp.Size], &y) +} + +// MarshalBinary encodes the receiver into a binary form and returns the result. +func (P *Point) MarshalBinary() (data []byte, err error) { + data = make([]byte, fp.Size+1) + err = P.ToBytes(data[:fp.Size+1]) + return data, err +} + +// UnmarshalBinary must be able to decode the form generated by MarshalBinary. +func (P *Point) UnmarshalBinary(data []byte) error { Q, err := FromBytes(data); *P = *Q; return err } + +// Double sets P = 2Q. +func (P *Point) Double() { P.Add(P) } + +// Add sets P =P+Q.. +func (P *Point) Add(Q *Point) { + // This is formula (5) from "Twisted Edwards Curves Revisited" by + // Hisil H., Wong K.KH., Carter G., Dawson E. (2008) + // https://doi.org/10.1007/978-3-540-89255-7_20 + x1, y1, z1, ta1, tb1 := &P.x, &P.y, &P.z, &P.ta, &P.tb + x2, y2, z2, ta2, tb2 := &Q.x, &Q.y, &Q.z, &Q.ta, &Q.tb + x3, y3, z3, E, H := &P.x, &P.y, &P.z, &P.ta, &P.tb + A, B, C, D := &fp.Elt{}, &fp.Elt{}, &fp.Elt{}, &fp.Elt{} + t1, t2, F, G := C, D, &fp.Elt{}, &fp.Elt{} + fp.Mul(t1, ta1, tb1) // t1 = ta1*tb1 + fp.Mul(t2, ta2, tb2) // t2 = ta2*tb2 + fp.Mul(A, x1, x2) // A = x1*x2 + fp.Mul(B, y1, y2) // B = y1*y2 + fp.Mul(C, t1, t2) // t1*t2 + fp.Mul(C, C, ¶mD) // C = d*t1*t2 + fp.Mul(D, z1, z2) // D = z1*z2 + fp.Add(F, x1, y1) // x1+y1 + fp.Add(E, x2, y2) // x2+y2 + fp.Mul(E, E, F) // (x1+y1)*(x2+y2) + fp.Sub(E, E, A) // (x1+y1)*(x2+y2)-A + fp.Sub(E, E, B) // E = (x1+y1)*(x2+y2)-A-B + fp.Sub(F, D, C) // F = D-C + fp.Add(G, D, C) // G = D+C + fp.Sub(H, B, A) // H = B-A + fp.Mul(z3, F, G) // Z = F * G + fp.Mul(x3, E, F) // X = E * F + fp.Mul(y3, G, H) // Y = G * H, T = E * H +} diff --git a/vendor/github.com/cloudflare/circl/ecc/goldilocks/scalar.go b/vendor/github.com/cloudflare/circl/ecc/goldilocks/scalar.go new file mode 100644 index 0000000000..852d74f3ac --- /dev/null +++ b/vendor/github.com/cloudflare/circl/ecc/goldilocks/scalar.go @@ -0,0 +1,203 @@ +package goldilocks + +import ( + "encoding/binary" + "math/bits" +) + +// ScalarSize is the size (in bytes) of scalars. +const ScalarSize = 56 // 448 / 8 + +//_N is the number of 64-bit words to store scalars. +const _N = 7 // 448 / 64 + +// Scalar represents a positive integer stored in little-endian order. +type Scalar [ScalarSize]byte + +type scalar64 [_N]uint64 + +func (z *scalar64) fromScalar(x *Scalar) { + z[0] = binary.LittleEndian.Uint64(x[0*8 : 1*8]) + z[1] = binary.LittleEndian.Uint64(x[1*8 : 2*8]) + z[2] = binary.LittleEndian.Uint64(x[2*8 : 3*8]) + z[3] = binary.LittleEndian.Uint64(x[3*8 : 4*8]) + z[4] = binary.LittleEndian.Uint64(x[4*8 : 5*8]) + z[5] = binary.LittleEndian.Uint64(x[5*8 : 6*8]) + z[6] = binary.LittleEndian.Uint64(x[6*8 : 7*8]) +} + +func (z *scalar64) toScalar(x *Scalar) { + binary.LittleEndian.PutUint64(x[0*8:1*8], z[0]) + binary.LittleEndian.PutUint64(x[1*8:2*8], z[1]) + binary.LittleEndian.PutUint64(x[2*8:3*8], z[2]) + binary.LittleEndian.PutUint64(x[3*8:4*8], z[3]) + binary.LittleEndian.PutUint64(x[4*8:5*8], z[4]) + binary.LittleEndian.PutUint64(x[5*8:6*8], z[5]) + binary.LittleEndian.PutUint64(x[6*8:7*8], z[6]) +} + +// add calculates z = x + y. Assumes len(z) > max(len(x),len(y)). +func add(z, x, y []uint64) uint64 { + l, L, zz := len(x), len(y), y + if l > L { + l, L, zz = L, l, x + } + c := uint64(0) + for i := 0; i < l; i++ { + z[i], c = bits.Add64(x[i], y[i], c) + } + for i := l; i < L; i++ { + z[i], c = bits.Add64(zz[i], 0, c) + } + return c +} + +// sub calculates z = x - y. Assumes len(z) > max(len(x),len(y)). +func sub(z, x, y []uint64) uint64 { + l, L, zz := len(x), len(y), y + if l > L { + l, L, zz = L, l, x + } + c := uint64(0) + for i := 0; i < l; i++ { + z[i], c = bits.Sub64(x[i], y[i], c) + } + for i := l; i < L; i++ { + z[i], c = bits.Sub64(zz[i], 0, c) + } + return c +} + +// mulWord calculates z = x * y. Assumes len(z) >= len(x)+1. +func mulWord(z, x []uint64, y uint64) { + for i := range z { + z[i] = 0 + } + carry := uint64(0) + for i := range x { + hi, lo := bits.Mul64(x[i], y) + lo, cc := bits.Add64(lo, z[i], 0) + hi, _ = bits.Add64(hi, 0, cc) + z[i], cc = bits.Add64(lo, carry, 0) + carry, _ = bits.Add64(hi, 0, cc) + } + z[len(x)] = carry +} + +// Cmov moves x into z if b=1. +func (z *scalar64) Cmov(b uint64, x *scalar64) { + m := uint64(0) - b + for i := range z { + z[i] = (z[i] &^ m) | (x[i] & m) + } +} + +// leftShift shifts to the left the words of z returning the more significant word. +func (z *scalar64) leftShift(low uint64) uint64 { + high := z[_N-1] + for i := _N - 1; i > 0; i-- { + z[i] = z[i-1] + } + z[0] = low + return high +} + +// reduceOneWord calculates z = z + 2^448*x such that the result fits in a Scalar. +func (z *scalar64) reduceOneWord(x uint64) { + prod := (&scalar64{})[:] + mulWord(prod, residue448[:], x) + cc := add(z[:], z[:], prod) + mulWord(prod, residue448[:], cc) + add(z[:], z[:], prod) +} + +// modOrder reduces z mod order. +func (z *scalar64) modOrder() { + var o64, x scalar64 + o64.fromScalar(&order) + // Performs: while (z >= order) { z = z-order } + // At most 8 (eight) iterations reduce 3 bits by subtracting. + for i := 0; i < 8; i++ { + c := sub(x[:], z[:], o64[:]) // (c || x) = z-order + z.Cmov(1-c, &x) // if c != 0 { z = x } + } +} + +// FromBytes stores z = x mod order, where x is a number stored in little-endian order. +func (z *Scalar) FromBytes(x []byte) { + n := len(x) + nCeil := (n + 7) >> 3 + for i := range z { + z[i] = 0 + } + if nCeil < _N { + copy(z[:], x) + return + } + copy(z[:], x[8*(nCeil-_N):]) + var z64 scalar64 + z64.fromScalar(z) + for i := nCeil - _N - 1; i >= 0; i-- { + low := binary.LittleEndian.Uint64(x[8*i:]) + high := z64.leftShift(low) + z64.reduceOneWord(high) + } + z64.modOrder() + z64.toScalar(z) +} + +// divBy4 calculates z = x/4 mod order. +func (z *Scalar) divBy4(x *Scalar) { z.Mul(x, &invFour) } + +// Red reduces z mod order. +func (z *Scalar) Red() { var t scalar64; t.fromScalar(z); t.modOrder(); t.toScalar(z) } + +// Neg calculates z = -z mod order. +func (z *Scalar) Neg() { z.Sub(&order, z) } + +// Add calculates z = x+y mod order. +func (z *Scalar) Add(x, y *Scalar) { + var z64, x64, y64, t scalar64 + x64.fromScalar(x) + y64.fromScalar(y) + c := add(z64[:], x64[:], y64[:]) + add(t[:], z64[:], residue448[:]) + z64.Cmov(c, &t) + z64.modOrder() + z64.toScalar(z) +} + +// Sub calculates z = x-y mod order. +func (z *Scalar) Sub(x, y *Scalar) { + var z64, x64, y64, t scalar64 + x64.fromScalar(x) + y64.fromScalar(y) + c := sub(z64[:], x64[:], y64[:]) + sub(t[:], z64[:], residue448[:]) + z64.Cmov(c, &t) + z64.modOrder() + z64.toScalar(z) +} + +// Mul calculates z = x*y mod order. +func (z *Scalar) Mul(x, y *Scalar) { + var z64, x64, y64 scalar64 + prod := (&[_N + 1]uint64{})[:] + x64.fromScalar(x) + y64.fromScalar(y) + mulWord(prod, x64[:], y64[_N-1]) + copy(z64[:], prod[:_N]) + z64.reduceOneWord(prod[_N]) + for i := _N - 2; i >= 0; i-- { + h := z64.leftShift(0) + z64.reduceOneWord(h) + mulWord(prod, x64[:], y64[i]) + c := add(z64[:], z64[:], prod[:_N]) + z64.reduceOneWord(prod[_N] + c) + } + z64.modOrder() + z64.toScalar(z) +} + +// IsZero returns true if z=0. +func (z *Scalar) IsZero() bool { z.Red(); return *z == Scalar{} } diff --git a/vendor/github.com/cloudflare/circl/ecc/goldilocks/twist.go b/vendor/github.com/cloudflare/circl/ecc/goldilocks/twist.go new file mode 100644 index 0000000000..8cd4e333b9 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/ecc/goldilocks/twist.go @@ -0,0 +1,138 @@ +package goldilocks + +import ( + "crypto/subtle" + "math/bits" + + "github.com/cloudflare/circl/internal/conv" + "github.com/cloudflare/circl/math" + fp "github.com/cloudflare/circl/math/fp448" +) + +// twistCurve is -x^2+y^2=1-39082x^2y^2 and is 4-isogeneous to Goldilocks. +type twistCurve struct{} + +// Identity returns the identity point. +func (twistCurve) Identity() *twistPoint { + return &twistPoint{ + y: fp.One(), + z: fp.One(), + } +} + +// subYDiv16 update x = (x - y) / 16. +func subYDiv16(x *scalar64, y int64) { + s := uint64(y >> 63) + x0, b0 := bits.Sub64((*x)[0], uint64(y), 0) + x1, b1 := bits.Sub64((*x)[1], s, b0) + x2, b2 := bits.Sub64((*x)[2], s, b1) + x3, b3 := bits.Sub64((*x)[3], s, b2) + x4, b4 := bits.Sub64((*x)[4], s, b3) + x5, b5 := bits.Sub64((*x)[5], s, b4) + x6, _ := bits.Sub64((*x)[6], s, b5) + x[0] = (x0 >> 4) | (x1 << 60) + x[1] = (x1 >> 4) | (x2 << 60) + x[2] = (x2 >> 4) | (x3 << 60) + x[3] = (x3 >> 4) | (x4 << 60) + x[4] = (x4 >> 4) | (x5 << 60) + x[5] = (x5 >> 4) | (x6 << 60) + x[6] = (x6 >> 4) +} + +func recodeScalar(d *[113]int8, k *Scalar) { + var k64 scalar64 + k64.fromScalar(k) + for i := 0; i < 112; i++ { + d[i] = int8((k64[0] & 0x1f) - 16) + subYDiv16(&k64, int64(d[i])) + } + d[112] = int8(k64[0]) +} + +// ScalarMult returns kP. +func (e twistCurve) ScalarMult(k *Scalar, P *twistPoint) *twistPoint { + var TabP [8]preTwistPointProy + var S preTwistPointProy + var d [113]int8 + + var isZero int + if k.IsZero() { + isZero = 1 + } + subtle.ConstantTimeCopy(isZero, k[:], order[:]) + + minusK := *k + isEven := 1 - int(k[0]&0x1) + minusK.Neg() + subtle.ConstantTimeCopy(isEven, k[:], minusK[:]) + recodeScalar(&d, k) + + P.oddMultiples(TabP[:]) + Q := e.Identity() + for i := 112; i >= 0; i-- { + Q.Double() + Q.Double() + Q.Double() + Q.Double() + mask := d[i] >> 7 + absDi := (d[i] + mask) ^ mask + inx := int32((absDi - 1) >> 1) + sig := int((d[i] >> 7) & 0x1) + for j := range TabP { + S.cmov(&TabP[j], uint(subtle.ConstantTimeEq(inx, int32(j)))) + } + S.cneg(sig) + Q.mixAdd(&S) + } + Q.cneg(uint(isEven)) + return Q +} + +const ( + omegaFix = 7 + omegaVar = 5 +) + +// CombinedMult returns mG+nP. +func (e twistCurve) CombinedMult(m, n *Scalar, P *twistPoint) *twistPoint { + nafFix := math.OmegaNAF(conv.BytesLe2BigInt(m[:]), omegaFix) + nafVar := math.OmegaNAF(conv.BytesLe2BigInt(n[:]), omegaVar) + + if len(nafFix) > len(nafVar) { + nafVar = append(nafVar, make([]int32, len(nafFix)-len(nafVar))...) + } else if len(nafFix) < len(nafVar) { + nafFix = append(nafFix, make([]int32, len(nafVar)-len(nafFix))...) + } + + var TabQ [1 << (omegaVar - 2)]preTwistPointProy + P.oddMultiples(TabQ[:]) + Q := e.Identity() + for i := len(nafFix) - 1; i >= 0; i-- { + Q.Double() + // Generator point + if nafFix[i] != 0 { + idxM := absolute(nafFix[i]) >> 1 + R := tabVerif[idxM] + if nafFix[i] < 0 { + R.neg() + } + Q.mixAddZ1(&R) + } + // Variable input point + if nafVar[i] != 0 { + idxN := absolute(nafVar[i]) >> 1 + S := TabQ[idxN] + if nafVar[i] < 0 { + S.neg() + } + Q.mixAdd(&S) + } + } + return Q +} + +// absolute returns always a positive value. +func absolute(x int32) int32 { + mask := x >> 31 + return (x + mask) ^ mask +} diff --git a/vendor/github.com/cloudflare/circl/ecc/goldilocks/twistPoint.go b/vendor/github.com/cloudflare/circl/ecc/goldilocks/twistPoint.go new file mode 100644 index 0000000000..c55db77b06 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/ecc/goldilocks/twistPoint.go @@ -0,0 +1,135 @@ +package goldilocks + +import ( + "fmt" + + fp "github.com/cloudflare/circl/math/fp448" +) + +type twistPoint struct{ x, y, z, ta, tb fp.Elt } + +type preTwistPointAffine struct{ addYX, subYX, dt2 fp.Elt } + +type preTwistPointProy struct { + preTwistPointAffine + z2 fp.Elt +} + +func (P *twistPoint) String() string { + return fmt.Sprintf("x: %v\ny: %v\nz: %v\nta: %v\ntb: %v", P.x, P.y, P.z, P.ta, P.tb) +} + +// cneg conditionally negates the point if b=1. +func (P *twistPoint) cneg(b uint) { + t := &fp.Elt{} + fp.Neg(t, &P.x) + fp.Cmov(&P.x, t, b) + fp.Neg(t, &P.ta) + fp.Cmov(&P.ta, t, b) +} + +// Double updates P with 2P. +func (P *twistPoint) Double() { + // This is formula (7) from "Twisted Edwards Curves Revisited" by + // Hisil H., Wong K.KH., Carter G., Dawson E. (2008) + // https://doi.org/10.1007/978-3-540-89255-7_20 + Px, Py, Pz, Pta, Ptb := &P.x, &P.y, &P.z, &P.ta, &P.tb + a, b, c, e, f, g, h := Px, Py, Pz, Pta, Px, Py, Ptb + fp.Add(e, Px, Py) // x+y + fp.Sqr(a, Px) // A = x^2 + fp.Sqr(b, Py) // B = y^2 + fp.Sqr(c, Pz) // z^2 + fp.Add(c, c, c) // C = 2*z^2 + fp.Add(h, a, b) // H = A+B + fp.Sqr(e, e) // (x+y)^2 + fp.Sub(e, e, h) // E = (x+y)^2-A-B + fp.Sub(g, b, a) // G = B-A + fp.Sub(f, c, g) // F = C-G + fp.Mul(Pz, f, g) // Z = F * G + fp.Mul(Px, e, f) // X = E * F + fp.Mul(Py, g, h) // Y = G * H, T = E * H +} + +// mixAdd calculates P= P+Q, where Q is a precomputed point with Z_Q = 1. +func (P *twistPoint) mixAddZ1(Q *preTwistPointAffine) { + fp.Add(&P.z, &P.z, &P.z) // D = 2*z1 (z2=1) + P.coreAddition(Q) +} + +// coreAddition calculates P=P+Q for curves with A=-1. +func (P *twistPoint) coreAddition(Q *preTwistPointAffine) { + // This is the formula following (5) from "Twisted Edwards Curves Revisited" by + // Hisil H., Wong K.KH., Carter G., Dawson E. (2008) + // https://doi.org/10.1007/978-3-540-89255-7_20 + Px, Py, Pz, Pta, Ptb := &P.x, &P.y, &P.z, &P.ta, &P.tb + addYX2, subYX2, dt2 := &Q.addYX, &Q.subYX, &Q.dt2 + a, b, c, d, e, f, g, h := Px, Py, &fp.Elt{}, Pz, Pta, Px, Py, Ptb + fp.Mul(c, Pta, Ptb) // t1 = ta*tb + fp.Sub(h, Py, Px) // y1-x1 + fp.Add(b, Py, Px) // y1+x1 + fp.Mul(a, h, subYX2) // A = (y1-x1)*(y2-x2) + fp.Mul(b, b, addYX2) // B = (y1+x1)*(y2+x2) + fp.Mul(c, c, dt2) // C = 2*D*t1*t2 + fp.Sub(e, b, a) // E = B-A + fp.Add(h, b, a) // H = B+A + fp.Sub(f, d, c) // F = D-C + fp.Add(g, d, c) // G = D+C + fp.Mul(Pz, f, g) // Z = F * G + fp.Mul(Px, e, f) // X = E * F + fp.Mul(Py, g, h) // Y = G * H, T = E * H +} + +func (P *preTwistPointAffine) neg() { + P.addYX, P.subYX = P.subYX, P.addYX + fp.Neg(&P.dt2, &P.dt2) +} + +func (P *preTwistPointAffine) cneg(b int) { + t := &fp.Elt{} + fp.Cswap(&P.addYX, &P.subYX, uint(b)) + fp.Neg(t, &P.dt2) + fp.Cmov(&P.dt2, t, uint(b)) +} + +func (P *preTwistPointAffine) cmov(Q *preTwistPointAffine, b uint) { + fp.Cmov(&P.addYX, &Q.addYX, b) + fp.Cmov(&P.subYX, &Q.subYX, b) + fp.Cmov(&P.dt2, &Q.dt2, b) +} + +// mixAdd calculates P= P+Q, where Q is a precomputed point with Z_Q != 1. +func (P *twistPoint) mixAdd(Q *preTwistPointProy) { + fp.Mul(&P.z, &P.z, &Q.z2) // D = 2*z1*z2 + P.coreAddition(&Q.preTwistPointAffine) +} + +// oddMultiples calculates T[i] = (2*i-1)P for 0 < i < len(T). +func (P *twistPoint) oddMultiples(T []preTwistPointProy) { + if n := len(T); n > 0 { + T[0].FromTwistPoint(P) + _2P := *P + _2P.Double() + R := &preTwistPointProy{} + R.FromTwistPoint(&_2P) + for i := 1; i < n; i++ { + P.mixAdd(R) + T[i].FromTwistPoint(P) + } + } +} + +// cmov conditionally moves Q into P if b=1. +func (P *preTwistPointProy) cmov(Q *preTwistPointProy, b uint) { + P.preTwistPointAffine.cmov(&Q.preTwistPointAffine, b) + fp.Cmov(&P.z2, &Q.z2, b) +} + +// FromTwistPoint precomputes some coordinates of Q for missed addition. +func (P *preTwistPointProy) FromTwistPoint(Q *twistPoint) { + fp.Add(&P.addYX, &Q.y, &Q.x) // addYX = X + Y + fp.Sub(&P.subYX, &Q.y, &Q.x) // subYX = Y - X + fp.Mul(&P.dt2, &Q.ta, &Q.tb) // T = ta*tb + fp.Mul(&P.dt2, &P.dt2, ¶mDTwist) // D*T + fp.Add(&P.dt2, &P.dt2, &P.dt2) // dt2 = 2*D*T + fp.Add(&P.z2, &Q.z, &Q.z) // z2 = 2*Z +} diff --git a/vendor/github.com/cloudflare/circl/ecc/goldilocks/twistTables.go b/vendor/github.com/cloudflare/circl/ecc/goldilocks/twistTables.go new file mode 100644 index 0000000000..ed432e02c7 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/ecc/goldilocks/twistTables.go @@ -0,0 +1,216 @@ +package goldilocks + +import fp "github.com/cloudflare/circl/math/fp448" + +var tabFixMult = [fxV][fx2w1]preTwistPointAffine{ + { + { + addYX: fp.Elt{0x65, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2b, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05}, + subYX: fp.Elt{0x64, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2d, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05}, + dt2: fp.Elt{0x1a, 0x33, 0xea, 0x64, 0x45, 0x1c, 0xdf, 0x17, 0x1d, 0x16, 0x34, 0x28, 0xd6, 0x61, 0x19, 0x67, 0x79, 0xb4, 0x13, 0xcf, 0x3e, 0x7c, 0x0e, 0x72, 0xda, 0xf1, 0x5f, 0xda, 0xe6, 0xcf, 0x42, 0xd3, 0xb6, 0x17, 0xc2, 0x68, 0x13, 0x2d, 0xd9, 0x60, 0x3e, 0xae, 0xf0, 0x5b, 0x96, 0xf0, 0xcd, 0xaf, 0xea, 0xb7, 0x0d, 0x59, 0x16, 0xa7, 0xff, 0x55}, + }, + { + addYX: fp.Elt{0xca, 0xd8, 0x7d, 0x86, 0x1a, 0xef, 0xad, 0x11, 0xe3, 0x27, 0x41, 0x7e, 0x7f, 0x3e, 0xa9, 0xd2, 0xb5, 0x4e, 0x50, 0xe0, 0x77, 0x91, 0xc2, 0x13, 0x52, 0x73, 0x41, 0x09, 0xa6, 0x57, 0x9a, 0xc8, 0xa8, 0x90, 0x9d, 0x26, 0x14, 0xbb, 0xa1, 0x2a, 0xf7, 0x45, 0x43, 0x4e, 0xea, 0x35, 0x62, 0xe1, 0x08, 0x85, 0x46, 0xb8, 0x24, 0x05, 0x2d, 0xab}, + subYX: fp.Elt{0x9b, 0xe6, 0xd3, 0xe5, 0xfe, 0x50, 0x36, 0x3c, 0x3c, 0x6d, 0x74, 0x1d, 0x74, 0xc0, 0xde, 0x5b, 0x45, 0x27, 0xe5, 0x12, 0xee, 0x63, 0x35, 0x6b, 0x13, 0xe2, 0x41, 0x6b, 0x3a, 0x05, 0x2b, 0xb1, 0x89, 0x26, 0xb6, 0xc6, 0xd1, 0x84, 0xff, 0x0e, 0x9b, 0xa3, 0xfb, 0x21, 0x36, 0x6b, 0x01, 0xf7, 0x9f, 0x7c, 0xeb, 0xf5, 0x18, 0x7a, 0x2a, 0x70}, + dt2: fp.Elt{0x09, 0xad, 0x99, 0x1a, 0x38, 0xd3, 0xdf, 0x22, 0x37, 0x32, 0x61, 0x8b, 0xf3, 0x19, 0x48, 0x08, 0xe8, 0x49, 0xb6, 0x4a, 0xa7, 0xed, 0xa4, 0xa2, 0xee, 0x86, 0xd7, 0x31, 0x5e, 0xce, 0x95, 0x76, 0x86, 0x42, 0x1c, 0x9d, 0x07, 0x14, 0x8c, 0x34, 0x18, 0x9c, 0x6d, 0x3a, 0xdf, 0xa9, 0xe8, 0x36, 0x7e, 0xe4, 0x95, 0xbe, 0xb5, 0x09, 0xf8, 0x9c}, + }, + { + addYX: fp.Elt{0x51, 0xdb, 0x49, 0xa8, 0x9f, 0xe3, 0xd7, 0xec, 0x0d, 0x0f, 0x49, 0xe8, 0xb6, 0xc5, 0x0f, 0x5a, 0x1c, 0xce, 0x54, 0x0d, 0xb1, 0x8d, 0x5b, 0xbf, 0xf4, 0xaa, 0x34, 0x77, 0xc4, 0x5d, 0x59, 0xb6, 0xc5, 0x0e, 0x5a, 0xd8, 0x5b, 0x30, 0xc2, 0x1d, 0xec, 0x85, 0x1c, 0x42, 0xbe, 0x24, 0x2e, 0x50, 0x55, 0x44, 0xb2, 0x3a, 0x01, 0xaa, 0x98, 0xfb}, + subYX: fp.Elt{0xe7, 0x29, 0xb7, 0xd0, 0xaa, 0x4f, 0x32, 0x53, 0x56, 0xde, 0xbc, 0xd1, 0x92, 0x5d, 0x19, 0xbe, 0xa3, 0xe3, 0x75, 0x48, 0xe0, 0x7a, 0x1b, 0x54, 0x7a, 0xb7, 0x41, 0x77, 0x84, 0x38, 0xdd, 0x14, 0x9f, 0xca, 0x3f, 0xa3, 0xc8, 0xa7, 0x04, 0x70, 0xf1, 0x4d, 0x3d, 0xb3, 0x84, 0x79, 0xcb, 0xdb, 0xe4, 0xc5, 0x42, 0x9b, 0x57, 0x19, 0xf1, 0x2d}, + dt2: fp.Elt{0x20, 0xb4, 0x94, 0x9e, 0xdf, 0x31, 0x44, 0x0b, 0xc9, 0x7b, 0x75, 0x40, 0x9d, 0xd1, 0x96, 0x39, 0x70, 0x71, 0x15, 0xc8, 0x93, 0xd5, 0xc5, 0xe5, 0xba, 0xfe, 0xee, 0x08, 0x6a, 0x98, 0x0a, 0x1b, 0xb2, 0xaa, 0x3a, 0xf4, 0xa4, 0x79, 0xf9, 0x8e, 0x4d, 0x65, 0x10, 0x9b, 0x3a, 0x6e, 0x7c, 0x87, 0x94, 0x92, 0x11, 0x65, 0xbf, 0x1a, 0x09, 0xde}, + }, + { + addYX: fp.Elt{0xf3, 0x84, 0x76, 0x77, 0xa5, 0x6b, 0x27, 0x3b, 0x83, 0x3d, 0xdf, 0xa0, 0xeb, 0x32, 0x6d, 0x58, 0x81, 0x57, 0x64, 0xc2, 0x21, 0x7c, 0x9b, 0xea, 0xe6, 0xb0, 0x93, 0xf9, 0xe7, 0xc3, 0xed, 0x5a, 0x8e, 0xe2, 0xb4, 0x72, 0x76, 0x66, 0x0f, 0x22, 0x29, 0x94, 0x3e, 0x63, 0x48, 0x5e, 0x80, 0xcb, 0xac, 0xfa, 0x95, 0xb6, 0x4b, 0xc4, 0x95, 0x33}, + subYX: fp.Elt{0x0c, 0x55, 0xd1, 0x5e, 0x5f, 0xbf, 0xbf, 0xe2, 0x4c, 0xfc, 0x37, 0x4a, 0xc4, 0xb1, 0xf4, 0x83, 0x61, 0x93, 0x60, 0x8e, 0x9f, 0x31, 0xf0, 0xa0, 0x41, 0xff, 0x1d, 0xe2, 0x7f, 0xca, 0x40, 0xd6, 0x88, 0xe8, 0x91, 0x61, 0xe2, 0x11, 0x18, 0x83, 0xf3, 0x25, 0x2f, 0x3f, 0x49, 0x40, 0xd4, 0x83, 0xe2, 0xd7, 0x74, 0x6a, 0x16, 0x86, 0x4e, 0xab}, + dt2: fp.Elt{0xdd, 0x58, 0x65, 0xd8, 0x9f, 0xdd, 0x70, 0x7f, 0x0f, 0xec, 0xbd, 0x5c, 0x5c, 0x9b, 0x7e, 0x1b, 0x9f, 0x79, 0x36, 0x1f, 0xfd, 0x79, 0x10, 0x1c, 0x52, 0xf3, 0x22, 0xa4, 0x1f, 0x71, 0x6e, 0x63, 0x14, 0xf4, 0xa7, 0x3e, 0xbe, 0xad, 0x43, 0x30, 0x38, 0x8c, 0x29, 0xc6, 0xcf, 0x50, 0x75, 0x21, 0xe5, 0x78, 0xfd, 0xb0, 0x9a, 0xc4, 0x6d, 0xd4}, + }, + }, + { + { + addYX: fp.Elt{0x7a, 0xa1, 0x38, 0xa6, 0xfd, 0x0e, 0x96, 0xd5, 0x26, 0x76, 0x86, 0x70, 0x80, 0x30, 0xa6, 0x67, 0xeb, 0xf4, 0x39, 0xdb, 0x22, 0xf5, 0x9f, 0x98, 0xe4, 0xb5, 0x3a, 0x0c, 0x59, 0xbf, 0x85, 0xc6, 0xf0, 0x0b, 0x1c, 0x41, 0x38, 0x09, 0x01, 0xdb, 0xd6, 0x3c, 0xb7, 0xf1, 0x08, 0x6b, 0x4b, 0x9e, 0x63, 0x53, 0x83, 0xd3, 0xab, 0xa3, 0x72, 0x0d}, + subYX: fp.Elt{0x84, 0x68, 0x25, 0xe8, 0xe9, 0x8f, 0x91, 0xbf, 0xf7, 0xa4, 0x30, 0xae, 0xea, 0x9f, 0xdd, 0x56, 0x64, 0x09, 0xc9, 0x54, 0x68, 0x4e, 0x33, 0xc5, 0x6f, 0x7b, 0x2d, 0x52, 0x2e, 0x42, 0xbe, 0xbe, 0xf5, 0x64, 0xbf, 0x77, 0x54, 0xdf, 0xb0, 0x10, 0xd2, 0x16, 0x5d, 0xce, 0xaf, 0x9f, 0xfb, 0xa3, 0x63, 0x50, 0xcb, 0xc0, 0xd0, 0x88, 0x44, 0xa3}, + dt2: fp.Elt{0xc3, 0x8b, 0xa5, 0xf1, 0x44, 0xe4, 0x41, 0xcd, 0x75, 0xe3, 0x17, 0x69, 0x5b, 0xb9, 0xbb, 0xee, 0x82, 0xbb, 0xce, 0x57, 0xdf, 0x2a, 0x9c, 0x12, 0xab, 0x66, 0x08, 0x68, 0x05, 0x1b, 0x87, 0xee, 0x5d, 0x1e, 0x18, 0x14, 0x22, 0x4b, 0x99, 0x61, 0x75, 0x28, 0xe7, 0x65, 0x1c, 0x36, 0xb6, 0x18, 0x09, 0xa8, 0xdf, 0xef, 0x30, 0x35, 0xbc, 0x58}, + }, + { + addYX: fp.Elt{0xc5, 0xd3, 0x0e, 0x6f, 0xaf, 0x06, 0x69, 0xc4, 0x07, 0x9e, 0x58, 0x6e, 0x3f, 0x49, 0xd9, 0x0a, 0x3c, 0x2c, 0x37, 0xcd, 0x27, 0x4d, 0x87, 0x91, 0x7a, 0xb0, 0x28, 0xad, 0x2f, 0x68, 0x92, 0x05, 0x97, 0xf1, 0x30, 0x5f, 0x4c, 0x10, 0x20, 0x30, 0xd3, 0x08, 0x3f, 0xc1, 0xc6, 0xb7, 0xb5, 0xd1, 0x71, 0x7b, 0xa8, 0x0a, 0xd8, 0xf5, 0x17, 0xcf}, + subYX: fp.Elt{0x64, 0xd4, 0x8f, 0x91, 0x40, 0xab, 0x6e, 0x1a, 0x62, 0x83, 0xdc, 0xd7, 0x30, 0x1a, 0x4a, 0x2a, 0x4c, 0x54, 0x86, 0x19, 0x81, 0x5d, 0x04, 0x52, 0xa3, 0xca, 0x82, 0x38, 0xdc, 0x1e, 0xf0, 0x7a, 0x78, 0x76, 0x49, 0x4f, 0x71, 0xc4, 0x74, 0x2f, 0xf0, 0x5b, 0x2e, 0x5e, 0xac, 0xef, 0x17, 0xe4, 0x8e, 0x6e, 0xed, 0x43, 0x23, 0x61, 0x99, 0x49}, + dt2: fp.Elt{0x64, 0x90, 0x72, 0x76, 0xf8, 0x2c, 0x7d, 0x57, 0xf9, 0x30, 0x5e, 0x7a, 0x10, 0x74, 0x19, 0x39, 0xd9, 0xaf, 0x0a, 0xf1, 0x43, 0xed, 0x88, 0x9c, 0x8b, 0xdc, 0x9b, 0x1c, 0x90, 0xe7, 0xf7, 0xa3, 0xa5, 0x0d, 0xc6, 0xbc, 0x30, 0xfb, 0x91, 0x1a, 0x51, 0xba, 0x2d, 0xbe, 0x89, 0xdf, 0x1d, 0xdc, 0x53, 0xa8, 0x82, 0x8a, 0xd3, 0x8d, 0x16, 0x68}, + }, + { + addYX: fp.Elt{0xef, 0x5c, 0xe3, 0x74, 0xbf, 0x13, 0x4a, 0xbf, 0x66, 0x73, 0x64, 0xb7, 0xd4, 0xce, 0x98, 0x82, 0x05, 0xfa, 0x98, 0x0c, 0x0a, 0xae, 0xe5, 0x6b, 0x9f, 0xac, 0xbb, 0x6e, 0x1f, 0xcf, 0xff, 0xa6, 0x71, 0x9a, 0xa8, 0x7a, 0x9e, 0x64, 0x1f, 0x20, 0x4a, 0x61, 0xa2, 0xd6, 0x50, 0xe3, 0xba, 0x81, 0x0c, 0x50, 0x59, 0x69, 0x59, 0x15, 0x55, 0xdb}, + subYX: fp.Elt{0xe8, 0x77, 0x4d, 0xe8, 0x66, 0x3d, 0xc1, 0x00, 0x3c, 0xf2, 0x25, 0x00, 0xdc, 0xb2, 0xe5, 0x9b, 0x12, 0x89, 0xf3, 0xd6, 0xea, 0x85, 0x60, 0xfe, 0x67, 0x91, 0xfd, 0x04, 0x7c, 0xe0, 0xf1, 0x86, 0x06, 0x11, 0x66, 0xee, 0xd4, 0xd5, 0xbe, 0x3b, 0x0f, 0xe3, 0x59, 0xb3, 0x4f, 0x00, 0xb6, 0xce, 0x80, 0xc1, 0x61, 0xf7, 0xaf, 0x04, 0x6a, 0x3c}, + dt2: fp.Elt{0x00, 0xd7, 0x32, 0x93, 0x67, 0x70, 0x6f, 0xd7, 0x69, 0xab, 0xb1, 0xd3, 0xdc, 0xd6, 0xa8, 0xdd, 0x35, 0x25, 0xca, 0xd3, 0x8a, 0x6d, 0xce, 0xfb, 0xfd, 0x2b, 0x83, 0xf0, 0xd4, 0xac, 0x66, 0xfb, 0x72, 0x87, 0x7e, 0x55, 0xb7, 0x91, 0x58, 0x10, 0xc3, 0x11, 0x7e, 0x15, 0xfe, 0x7c, 0x55, 0x90, 0xa3, 0x9e, 0xed, 0x9a, 0x7f, 0xa7, 0xb7, 0xeb}, + }, + { + addYX: fp.Elt{0x25, 0x0f, 0xc2, 0x09, 0x9c, 0x10, 0xc8, 0x7c, 0x93, 0xa7, 0xbe, 0xe9, 0x26, 0x25, 0x7c, 0x21, 0xfe, 0xe7, 0x5f, 0x3c, 0x02, 0x83, 0xa7, 0x9e, 0xdf, 0xc0, 0x94, 0x2b, 0x7d, 0x1a, 0xd0, 0x1d, 0xcc, 0x2e, 0x7d, 0xd4, 0x85, 0xe7, 0xc1, 0x15, 0x66, 0xd6, 0xd6, 0x32, 0xb8, 0xf7, 0x63, 0xaa, 0x3b, 0xa5, 0xea, 0x49, 0xad, 0x88, 0x9b, 0x66}, + subYX: fp.Elt{0x09, 0x97, 0x79, 0x36, 0x41, 0x56, 0x9b, 0xdf, 0x15, 0xd8, 0x43, 0x28, 0x17, 0x5b, 0x96, 0xc9, 0xcf, 0x39, 0x1f, 0x13, 0xf7, 0x4d, 0x1d, 0x1f, 0xda, 0x51, 0x56, 0xe7, 0x0a, 0x5a, 0x65, 0xb6, 0x2a, 0x87, 0x49, 0x86, 0xc2, 0x2b, 0xcd, 0xfe, 0x07, 0xf6, 0x4c, 0xe2, 0x1d, 0x9b, 0xd8, 0x82, 0x09, 0x5b, 0x11, 0x10, 0x62, 0x56, 0x89, 0xbd}, + dt2: fp.Elt{0xd9, 0x15, 0x73, 0xf2, 0x96, 0x35, 0x53, 0xb0, 0xe7, 0xa8, 0x0b, 0x93, 0x35, 0x0b, 0x3a, 0x00, 0xf5, 0x18, 0xb1, 0xc3, 0x12, 0x3f, 0x91, 0x17, 0xc1, 0x4c, 0x15, 0x5a, 0x86, 0x92, 0x11, 0xbd, 0x44, 0x40, 0x5a, 0x7b, 0x15, 0x89, 0xba, 0xc1, 0xc1, 0xbc, 0x43, 0x45, 0xe6, 0x52, 0x02, 0x73, 0x0a, 0xd0, 0x2a, 0x19, 0xda, 0x47, 0xa8, 0xff}, + }, + }, +} + +// tabVerif contains the odd multiples of P. The entry T[i] = (2i+1)P, where +// P = phi(G) and G is the generator of the Goldilocks curve, and phi is a +// 4-degree isogeny. +var tabVerif = [1 << (omegaFix - 2)]preTwistPointAffine{ + { /* 1P*/ + addYX: fp.Elt{0x65, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2b, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05}, + subYX: fp.Elt{0x64, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2d, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05}, + dt2: fp.Elt{0x1a, 0x33, 0xea, 0x64, 0x45, 0x1c, 0xdf, 0x17, 0x1d, 0x16, 0x34, 0x28, 0xd6, 0x61, 0x19, 0x67, 0x79, 0xb4, 0x13, 0xcf, 0x3e, 0x7c, 0x0e, 0x72, 0xda, 0xf1, 0x5f, 0xda, 0xe6, 0xcf, 0x42, 0xd3, 0xb6, 0x17, 0xc2, 0x68, 0x13, 0x2d, 0xd9, 0x60, 0x3e, 0xae, 0xf0, 0x5b, 0x96, 0xf0, 0xcd, 0xaf, 0xea, 0xb7, 0x0d, 0x59, 0x16, 0xa7, 0xff, 0x55}, + }, + { /* 3P*/ + addYX: fp.Elt{0xd1, 0xe9, 0xa8, 0x33, 0x20, 0x76, 0x18, 0x08, 0x45, 0x2a, 0xc9, 0x67, 0x2a, 0xc3, 0x15, 0x24, 0xf9, 0x74, 0x21, 0x30, 0x99, 0x59, 0x8b, 0xb2, 0xf0, 0xa4, 0x07, 0xe2, 0x6a, 0x36, 0x8d, 0xd9, 0xd2, 0x4a, 0x7f, 0x73, 0x50, 0x39, 0x3d, 0xaa, 0xa7, 0x51, 0x73, 0x0d, 0x2b, 0x8b, 0x96, 0x47, 0xac, 0x3c, 0x5d, 0xaa, 0x39, 0x9c, 0xcf, 0xd5}, + subYX: fp.Elt{0x6b, 0x11, 0x5d, 0x1a, 0xf9, 0x41, 0x9d, 0xc5, 0x30, 0x3e, 0xad, 0x25, 0x2c, 0x04, 0x45, 0xea, 0xcc, 0x67, 0x07, 0x85, 0xe9, 0xda, 0x0e, 0xb5, 0x40, 0xb7, 0x32, 0xb4, 0x49, 0xdd, 0xff, 0xaa, 0xfc, 0xbb, 0x19, 0xca, 0x8b, 0x79, 0x2b, 0x8f, 0x8d, 0x00, 0x33, 0xc2, 0xad, 0xe9, 0xd3, 0x12, 0xa8, 0xaa, 0x87, 0x62, 0xad, 0x2d, 0xff, 0xa4}, + dt2: fp.Elt{0xb0, 0xaf, 0x3b, 0xea, 0xf0, 0x42, 0x0b, 0x5e, 0x88, 0xd3, 0x98, 0x08, 0x87, 0x59, 0x72, 0x0a, 0xc2, 0xdf, 0xcb, 0x7f, 0x59, 0xb5, 0x4c, 0x63, 0x68, 0xe8, 0x41, 0x38, 0x67, 0x4f, 0xe9, 0xc6, 0xb2, 0x6b, 0x08, 0xa7, 0xf7, 0x0e, 0xcd, 0xea, 0xca, 0x3d, 0xaf, 0x8e, 0xda, 0x4b, 0x2e, 0xd2, 0x88, 0x64, 0x8d, 0xc5, 0x5f, 0x76, 0x0f, 0x3d}, + }, + { /* 5P*/ + addYX: fp.Elt{0xe5, 0x65, 0xc9, 0xe2, 0x75, 0xf0, 0x7d, 0x1a, 0xba, 0xa4, 0x40, 0x4b, 0x93, 0x12, 0xa2, 0x80, 0x95, 0x0d, 0x03, 0x93, 0xe8, 0xa5, 0x4d, 0xe2, 0x3d, 0x81, 0xf5, 0xce, 0xd4, 0x2d, 0x25, 0x59, 0x16, 0x5c, 0xe7, 0xda, 0xc7, 0x45, 0xd2, 0x7e, 0x2c, 0x38, 0xd4, 0x37, 0x64, 0xb2, 0xc2, 0x28, 0xc5, 0x72, 0x16, 0x32, 0x45, 0x36, 0x6f, 0x9f}, + subYX: fp.Elt{0x09, 0xf4, 0x7e, 0xbd, 0x89, 0xdb, 0x19, 0x58, 0xe1, 0x08, 0x00, 0x8a, 0xf4, 0x5f, 0x2a, 0x32, 0x40, 0xf0, 0x2c, 0x3f, 0x5d, 0xe4, 0xfc, 0x89, 0x11, 0x24, 0xb4, 0x2f, 0x97, 0xad, 0xac, 0x8f, 0x19, 0xab, 0xfa, 0x12, 0xe5, 0xf9, 0x50, 0x4e, 0x50, 0x6f, 0x32, 0x30, 0x88, 0xa6, 0xe5, 0x48, 0x28, 0xa2, 0x1b, 0x9f, 0xcd, 0xe2, 0x43, 0x38}, + dt2: fp.Elt{0xa9, 0xcc, 0x53, 0x39, 0x86, 0x02, 0x60, 0x75, 0x34, 0x99, 0x57, 0xbd, 0xfc, 0x5a, 0x8e, 0xce, 0x5e, 0x98, 0x22, 0xd0, 0xa5, 0x24, 0xff, 0x90, 0x28, 0x9f, 0x58, 0xf3, 0x39, 0xe9, 0xba, 0x36, 0x23, 0xfb, 0x7f, 0x41, 0xcc, 0x2b, 0x5a, 0x25, 0x3f, 0x4c, 0x2a, 0xf1, 0x52, 0x6f, 0x2f, 0x07, 0xe3, 0x88, 0x81, 0x77, 0xdd, 0x7c, 0x88, 0x82}, + }, + { /* 7P*/ + addYX: fp.Elt{0xf7, 0xee, 0x88, 0xfd, 0x3a, 0xbf, 0x7e, 0x28, 0x39, 0x23, 0x79, 0xe6, 0x5c, 0x56, 0xcb, 0xb5, 0x48, 0x6a, 0x80, 0x6d, 0x37, 0x60, 0x6c, 0x10, 0x35, 0x49, 0x4b, 0x46, 0x60, 0xd4, 0x79, 0xd4, 0x53, 0xd3, 0x67, 0x88, 0xd0, 0x41, 0xd5, 0x43, 0x85, 0xc8, 0x71, 0xe3, 0x1c, 0xb6, 0xda, 0x22, 0x64, 0x8f, 0x80, 0xac, 0xad, 0x7d, 0xd5, 0x82}, + subYX: fp.Elt{0x92, 0x40, 0xc1, 0x83, 0x21, 0x9b, 0xd5, 0x7d, 0x3f, 0x29, 0xb6, 0x26, 0xef, 0x12, 0xb9, 0x27, 0x39, 0x42, 0x37, 0x97, 0x09, 0x9a, 0x08, 0xe1, 0x68, 0xb6, 0x7a, 0x3f, 0x9f, 0x45, 0xf8, 0x37, 0x19, 0x83, 0x97, 0xe6, 0x73, 0x30, 0x32, 0x35, 0xcf, 0xae, 0x5c, 0x12, 0x68, 0xdf, 0x6e, 0x2b, 0xde, 0x83, 0xa0, 0x44, 0x74, 0x2e, 0x4a, 0xe9}, + dt2: fp.Elt{0xcb, 0x22, 0x0a, 0xda, 0x6b, 0xc1, 0x8a, 0x29, 0xa1, 0xac, 0x8b, 0x5b, 0x8b, 0x32, 0x20, 0xf2, 0x21, 0xae, 0x0c, 0x43, 0xc4, 0xd7, 0x19, 0x37, 0x3d, 0x79, 0x25, 0x98, 0x6c, 0x9c, 0x22, 0x31, 0x2a, 0x55, 0x9f, 0xda, 0x5e, 0xa8, 0x13, 0xdb, 0x8e, 0x2e, 0x16, 0x39, 0xf4, 0x91, 0x6f, 0xec, 0x71, 0x71, 0xc9, 0x10, 0xf2, 0xa4, 0x8f, 0x11}, + }, + { /* 9P*/ + addYX: fp.Elt{0x85, 0xdd, 0x37, 0x62, 0x74, 0x8e, 0x33, 0x5b, 0x25, 0x12, 0x1b, 0xe7, 0xdf, 0x47, 0xe5, 0x12, 0xfd, 0x3a, 0x3a, 0xf5, 0x5d, 0x4c, 0xa2, 0x29, 0x3c, 0x5c, 0x2f, 0xee, 0x18, 0x19, 0x0a, 0x2b, 0xef, 0x67, 0x50, 0x7a, 0x0d, 0x29, 0xae, 0x55, 0x82, 0xcd, 0xd6, 0x41, 0x90, 0xb4, 0x13, 0x31, 0x5d, 0x11, 0xb8, 0xaa, 0x12, 0x86, 0x08, 0xac}, + subYX: fp.Elt{0xcc, 0x37, 0x8d, 0x83, 0x5f, 0xfd, 0xde, 0xd5, 0xf7, 0xf1, 0xae, 0x0a, 0xa7, 0x0b, 0xeb, 0x6d, 0x19, 0x8a, 0xb6, 0x1a, 0x59, 0xd8, 0xff, 0x3c, 0xbc, 0xbc, 0xef, 0x9c, 0xda, 0x7b, 0x75, 0x12, 0xaf, 0x80, 0x8f, 0x2c, 0x3c, 0xaa, 0x0b, 0x17, 0x86, 0x36, 0x78, 0x18, 0xc8, 0x8a, 0xf6, 0xb8, 0x2c, 0x2f, 0x57, 0x2c, 0x62, 0x57, 0xf6, 0x90}, + dt2: fp.Elt{0x83, 0xbc, 0xa2, 0x07, 0xa5, 0x38, 0x96, 0xea, 0xfe, 0x11, 0x46, 0x1d, 0x3b, 0xcd, 0x42, 0xc5, 0xee, 0x67, 0x04, 0x72, 0x08, 0xd8, 0xd9, 0x96, 0x07, 0xf7, 0xac, 0xc3, 0x64, 0xf1, 0x98, 0x2c, 0x55, 0xd7, 0x7d, 0xc8, 0x6c, 0xbd, 0x2c, 0xff, 0x15, 0xd6, 0x6e, 0xb8, 0x17, 0x8e, 0xa8, 0x27, 0x66, 0xb1, 0x73, 0x79, 0x96, 0xff, 0x29, 0x10}, + }, + { /* 11P*/ + addYX: fp.Elt{0x76, 0xcb, 0x9b, 0x0c, 0x5b, 0xfe, 0xe1, 0x2a, 0xdd, 0x6f, 0x6c, 0xdd, 0x6f, 0xb4, 0xc0, 0xc2, 0x1b, 0x4b, 0x38, 0xe8, 0x66, 0x8c, 0x1e, 0x31, 0x63, 0xb9, 0x94, 0xcd, 0xc3, 0x8c, 0x44, 0x25, 0x7b, 0xd5, 0x39, 0x80, 0xfc, 0x01, 0xaa, 0xf7, 0x2a, 0x61, 0x8a, 0x25, 0xd2, 0x5f, 0xc5, 0x66, 0x38, 0xa4, 0x17, 0xcf, 0x3e, 0x11, 0x0f, 0xa3}, + subYX: fp.Elt{0xe0, 0xb6, 0xd1, 0x9c, 0x71, 0x49, 0x2e, 0x7b, 0xde, 0x00, 0xda, 0x6b, 0xf1, 0xec, 0xe6, 0x7a, 0x15, 0x38, 0x71, 0xe9, 0x7b, 0xdb, 0xf8, 0x98, 0xc0, 0x91, 0x2e, 0x53, 0xee, 0x92, 0x87, 0x25, 0xc9, 0xb0, 0xbb, 0x33, 0x15, 0x46, 0x7f, 0xfd, 0x4f, 0x8b, 0x77, 0x05, 0x96, 0xb6, 0xe2, 0x08, 0xdb, 0x0d, 0x09, 0xee, 0x5b, 0xd1, 0x2a, 0x63}, + dt2: fp.Elt{0x8f, 0x7b, 0x57, 0x8c, 0xbf, 0x06, 0x0d, 0x43, 0x21, 0x92, 0x94, 0x2d, 0x6a, 0x38, 0x07, 0x0f, 0xa0, 0xf1, 0xe3, 0xd8, 0x2a, 0xbf, 0x46, 0xc6, 0x9e, 0x1f, 0x8f, 0x2b, 0x46, 0x84, 0x0b, 0x74, 0xed, 0xff, 0xf8, 0xa5, 0x94, 0xae, 0xf1, 0x67, 0xb1, 0x9b, 0xdd, 0x4a, 0xd0, 0xdb, 0xc2, 0xb5, 0x58, 0x49, 0x0c, 0xa9, 0x1d, 0x7d, 0xa9, 0xd3}, + }, + { /* 13P*/ + addYX: fp.Elt{0x73, 0x84, 0x2e, 0x31, 0x1f, 0xdc, 0xed, 0x9f, 0x74, 0xfa, 0xe0, 0x35, 0xb1, 0x85, 0x6a, 0x8d, 0x86, 0xd0, 0xff, 0xd6, 0x08, 0x43, 0x73, 0x1a, 0xd5, 0xf8, 0x43, 0xd4, 0xb3, 0xe5, 0x3f, 0xa8, 0x84, 0x17, 0x59, 0x65, 0x4e, 0xe6, 0xee, 0x54, 0x9c, 0xda, 0x5e, 0x7e, 0x98, 0x29, 0x6d, 0x73, 0x34, 0x1f, 0x99, 0x80, 0x54, 0x54, 0x81, 0x0b}, + subYX: fp.Elt{0xb1, 0xe5, 0xbb, 0x80, 0x22, 0x9c, 0x81, 0x6d, 0xaf, 0x27, 0x65, 0x6f, 0x7e, 0x9c, 0xb6, 0x8d, 0x35, 0x5c, 0x2e, 0x20, 0x48, 0x7a, 0x28, 0xf0, 0x97, 0xfe, 0xb7, 0x71, 0xce, 0xd6, 0xad, 0x3a, 0x81, 0xf6, 0x74, 0x5e, 0xf3, 0xfd, 0x1b, 0xd4, 0x1e, 0x7c, 0xc2, 0xb7, 0xc8, 0xa6, 0xc9, 0x89, 0x03, 0x47, 0xec, 0x24, 0xd6, 0x0e, 0xec, 0x9c}, + dt2: fp.Elt{0x91, 0x0a, 0x43, 0x34, 0x20, 0xc2, 0x64, 0xf7, 0x4e, 0x48, 0xc8, 0xd2, 0x95, 0x83, 0xd1, 0xa4, 0xfb, 0x4e, 0x41, 0x3b, 0x0d, 0xd5, 0x07, 0xd9, 0xf1, 0x13, 0x16, 0x78, 0x54, 0x57, 0xd0, 0xf1, 0x4f, 0x20, 0xac, 0xcf, 0x9c, 0x3b, 0x33, 0x0b, 0x99, 0x54, 0xc3, 0x7f, 0x3e, 0x57, 0x26, 0x86, 0xd5, 0xa5, 0x2b, 0x8d, 0xe3, 0x19, 0x36, 0xf7}, + }, + { /* 15P*/ + addYX: fp.Elt{0x23, 0x69, 0x47, 0x14, 0xf9, 0x9a, 0x50, 0xff, 0x64, 0xd1, 0x50, 0x35, 0xc3, 0x11, 0xd3, 0x19, 0xcf, 0x87, 0xda, 0x30, 0x0b, 0x50, 0xda, 0xc0, 0xe0, 0x25, 0x00, 0xe5, 0x68, 0x93, 0x04, 0xc2, 0xaf, 0xbd, 0x2f, 0x36, 0x5f, 0x47, 0x96, 0x10, 0xa8, 0xbd, 0xe4, 0x88, 0xac, 0x80, 0x52, 0x61, 0x73, 0xe9, 0x63, 0xdd, 0x99, 0xad, 0x20, 0x5b}, + subYX: fp.Elt{0x1b, 0x5e, 0xa2, 0x2a, 0x25, 0x0f, 0x86, 0xc0, 0xb1, 0x2e, 0x0c, 0x13, 0x40, 0x8d, 0xf0, 0xe6, 0x00, 0x55, 0x08, 0xc5, 0x7d, 0xf4, 0xc9, 0x31, 0x25, 0x3a, 0x99, 0x69, 0xdd, 0x67, 0x63, 0x9a, 0xd6, 0x89, 0x2e, 0xa1, 0x19, 0xca, 0x2c, 0xd9, 0x59, 0x5f, 0x5d, 0xc3, 0x6e, 0x62, 0x36, 0x12, 0x59, 0x15, 0xe1, 0xdc, 0xa4, 0xad, 0xc9, 0xd0}, + dt2: fp.Elt{0xbc, 0xea, 0xfc, 0xaf, 0x66, 0x23, 0xb7, 0x39, 0x6b, 0x2a, 0x96, 0xa8, 0x54, 0x43, 0xe9, 0xaa, 0x32, 0x40, 0x63, 0x92, 0x5e, 0xdf, 0x35, 0xc2, 0x9f, 0x24, 0x0c, 0xed, 0xfc, 0xde, 0x73, 0x8f, 0xa7, 0xd5, 0xa3, 0x2b, 0x18, 0x1f, 0xb0, 0xf8, 0xeb, 0x55, 0xd9, 0xc3, 0xfd, 0x28, 0x7c, 0x4f, 0xce, 0x0d, 0xf7, 0xae, 0xc2, 0x83, 0xc3, 0x78}, + }, + { /* 17P*/ + addYX: fp.Elt{0x71, 0xe6, 0x60, 0x93, 0x37, 0xdb, 0x01, 0xa5, 0x4c, 0xba, 0xe8, 0x8e, 0xd5, 0xf9, 0xd3, 0x98, 0xe5, 0xeb, 0xab, 0x3a, 0x15, 0x8b, 0x35, 0x60, 0xbe, 0xe5, 0x9c, 0x2d, 0x10, 0x9b, 0x2e, 0xcf, 0x65, 0x64, 0xea, 0x8f, 0x72, 0xce, 0xf5, 0x18, 0xe5, 0xe2, 0xf0, 0x0e, 0xae, 0x04, 0xec, 0xa0, 0x20, 0x65, 0x63, 0x07, 0xb1, 0x9f, 0x03, 0x97}, + subYX: fp.Elt{0x9e, 0x41, 0x64, 0x30, 0x95, 0x7f, 0x3a, 0x89, 0x7b, 0x0a, 0x79, 0x59, 0x23, 0x9a, 0x3b, 0xfe, 0xa4, 0x13, 0x08, 0xb2, 0x2e, 0x04, 0x50, 0x10, 0x30, 0xcd, 0x2e, 0xa4, 0x91, 0x71, 0x50, 0x36, 0x4a, 0x02, 0xf4, 0x8d, 0xa3, 0x36, 0x1b, 0xf4, 0x52, 0xba, 0x15, 0x04, 0x8b, 0x80, 0x25, 0xd9, 0xae, 0x67, 0x20, 0xd9, 0x88, 0x8f, 0x97, 0xa6}, + dt2: fp.Elt{0xb5, 0xe7, 0x46, 0xbd, 0x55, 0x23, 0xa0, 0x68, 0xc0, 0x12, 0xd9, 0xf1, 0x0a, 0x75, 0xe2, 0xda, 0xf4, 0x6b, 0xca, 0x14, 0xe4, 0x9f, 0x0f, 0xb5, 0x3c, 0xa6, 0xa5, 0xa2, 0x63, 0x94, 0xd1, 0x1c, 0x39, 0x58, 0x57, 0x02, 0x27, 0x98, 0xb6, 0x47, 0xc6, 0x61, 0x4b, 0x5c, 0xab, 0x6f, 0x2d, 0xab, 0xe3, 0xc1, 0x69, 0xf9, 0x12, 0xb0, 0xc8, 0xd5}, + }, + { /* 19P*/ + addYX: fp.Elt{0x19, 0x7d, 0xd5, 0xac, 0x79, 0xa2, 0x82, 0x9b, 0x28, 0x31, 0x22, 0xc0, 0x73, 0x02, 0x76, 0x17, 0x10, 0x70, 0x79, 0x57, 0xc9, 0x84, 0x62, 0x8e, 0x04, 0x04, 0x61, 0x67, 0x08, 0x48, 0xb4, 0x4b, 0xde, 0x53, 0x8c, 0xff, 0x36, 0x1b, 0x62, 0x86, 0x5d, 0xe1, 0x9b, 0xb1, 0xe5, 0xe8, 0x44, 0x64, 0xa1, 0x68, 0x3f, 0xa8, 0x45, 0x52, 0x91, 0xed}, + subYX: fp.Elt{0x42, 0x1a, 0x36, 0x1f, 0x90, 0x15, 0x24, 0x8d, 0x24, 0x80, 0xe6, 0xfe, 0x1e, 0xf0, 0xad, 0xaf, 0x6a, 0x93, 0xf0, 0xa6, 0x0d, 0x5d, 0xea, 0xf6, 0x62, 0x96, 0x7a, 0x05, 0x76, 0x85, 0x74, 0x32, 0xc7, 0xc8, 0x64, 0x53, 0x62, 0xe7, 0x54, 0x84, 0xe0, 0x40, 0x66, 0x19, 0x70, 0x40, 0x95, 0x35, 0x68, 0x64, 0x43, 0xcd, 0xba, 0x29, 0x32, 0xa8}, + dt2: fp.Elt{0x3e, 0xf6, 0xd6, 0xe4, 0x99, 0xeb, 0x20, 0x66, 0x08, 0x2e, 0x26, 0x64, 0xd7, 0x76, 0xf3, 0xb4, 0xc5, 0xa4, 0x35, 0x92, 0xd2, 0x99, 0x70, 0x5a, 0x1a, 0xe9, 0xe9, 0x3d, 0x3b, 0xe1, 0xcd, 0x0e, 0xee, 0x24, 0x13, 0x03, 0x22, 0xd6, 0xd6, 0x72, 0x08, 0x2b, 0xde, 0xfd, 0x93, 0xed, 0x0c, 0x7f, 0x5e, 0x31, 0x22, 0x4d, 0x80, 0x78, 0xc0, 0x48}, + }, + { /* 21P*/ + addYX: fp.Elt{0x8f, 0x72, 0xd2, 0x9e, 0xc4, 0xcd, 0x2c, 0xbf, 0xa8, 0xd3, 0x24, 0x62, 0x28, 0xee, 0x39, 0x0a, 0x19, 0x3a, 0x58, 0xff, 0x21, 0x2e, 0x69, 0x6c, 0x6e, 0x18, 0xd0, 0xcd, 0x61, 0xc1, 0x18, 0x02, 0x5a, 0xe9, 0xe3, 0xef, 0x1f, 0x8e, 0x10, 0xe8, 0x90, 0x2b, 0x48, 0xcd, 0xee, 0x38, 0xbd, 0x3a, 0xca, 0xbc, 0x2d, 0xe2, 0x3a, 0x03, 0x71, 0x02}, + subYX: fp.Elt{0xf8, 0xa4, 0x32, 0x26, 0x66, 0xaf, 0x3b, 0x53, 0xe7, 0xb0, 0x91, 0x92, 0xf5, 0x3c, 0x74, 0xce, 0xf2, 0xdd, 0x68, 0xa9, 0xf4, 0xcd, 0x5f, 0x60, 0xab, 0x71, 0xdf, 0xcd, 0x5c, 0x5d, 0x51, 0x72, 0x3a, 0x96, 0xea, 0xd6, 0xde, 0x54, 0x8e, 0x55, 0x4c, 0x08, 0x4c, 0x60, 0xdd, 0x34, 0xa9, 0x6f, 0xf3, 0x04, 0x02, 0xa8, 0xa6, 0x4e, 0x4d, 0x62}, + dt2: fp.Elt{0x76, 0x4a, 0xae, 0x38, 0x62, 0x69, 0x72, 0xdc, 0xe8, 0x43, 0xbe, 0x1d, 0x61, 0xde, 0x31, 0xc3, 0x42, 0x8f, 0x33, 0x9d, 0xca, 0xc7, 0x9c, 0xec, 0x6a, 0xe2, 0xaa, 0x01, 0x49, 0x78, 0x8d, 0x72, 0x4f, 0x38, 0xea, 0x52, 0xc2, 0xd3, 0xc9, 0x39, 0x71, 0xba, 0xb9, 0x09, 0x9b, 0xa3, 0x7f, 0x45, 0x43, 0x65, 0x36, 0x29, 0xca, 0xe7, 0x5c, 0x5f}, + }, + { /* 23P*/ + addYX: fp.Elt{0x89, 0x42, 0x35, 0x48, 0x6d, 0x74, 0xe5, 0x1f, 0xc3, 0xdd, 0x28, 0x5b, 0x84, 0x41, 0x33, 0x9f, 0x42, 0xf3, 0x1d, 0x5d, 0x15, 0x6d, 0x76, 0x33, 0x36, 0xaf, 0xe9, 0xdd, 0xfa, 0x63, 0x4f, 0x7a, 0x9c, 0xeb, 0x1c, 0x4f, 0x34, 0x65, 0x07, 0x54, 0xbb, 0x4c, 0x8b, 0x62, 0x9d, 0xd0, 0x06, 0x99, 0xb3, 0xe9, 0xda, 0x85, 0x19, 0xb0, 0x3d, 0x3c}, + subYX: fp.Elt{0xbb, 0x99, 0xf6, 0xbf, 0xaf, 0x2c, 0x22, 0x0d, 0x7a, 0xaa, 0x98, 0x6f, 0x01, 0x82, 0x99, 0xcf, 0x88, 0xbd, 0x0e, 0x3a, 0x89, 0xe0, 0x9c, 0x8c, 0x17, 0x20, 0xc4, 0xe0, 0xcf, 0x43, 0x7a, 0xef, 0x0d, 0x9f, 0x87, 0xd4, 0xfb, 0xf2, 0x96, 0xb8, 0x03, 0xe8, 0xcb, 0x5c, 0xec, 0x65, 0x5f, 0x49, 0xa4, 0x7c, 0x85, 0xb4, 0xf6, 0xc7, 0xdb, 0xa3}, + dt2: fp.Elt{0x11, 0xf3, 0x32, 0xa3, 0xa7, 0xb2, 0x7d, 0x51, 0x82, 0x44, 0xeb, 0xa2, 0x7d, 0x72, 0xcb, 0xc6, 0xf6, 0xc7, 0xb2, 0x38, 0x0e, 0x0f, 0x4f, 0x29, 0x00, 0xe4, 0x5b, 0x94, 0x46, 0x86, 0x66, 0xa1, 0x83, 0xb3, 0xeb, 0x15, 0xb6, 0x31, 0x50, 0x28, 0xeb, 0xed, 0x0d, 0x32, 0x39, 0xe9, 0x23, 0x81, 0x99, 0x3e, 0xff, 0x17, 0x4c, 0x11, 0x43, 0xd1}, + }, + { /* 25P*/ + addYX: fp.Elt{0xce, 0xe7, 0xf8, 0x94, 0x8f, 0x96, 0xf8, 0x96, 0xe6, 0x72, 0x20, 0x44, 0x2c, 0xa7, 0xfc, 0xba, 0xc8, 0xe1, 0xbb, 0xc9, 0x16, 0x85, 0xcd, 0x0b, 0xe5, 0xb5, 0x5a, 0x7f, 0x51, 0x43, 0x63, 0x8b, 0x23, 0x8e, 0x1d, 0x31, 0xff, 0x46, 0x02, 0x66, 0xcc, 0x9e, 0x4d, 0xa2, 0xca, 0xe2, 0xc7, 0xfd, 0x22, 0xb1, 0xdb, 0xdf, 0x6f, 0xe6, 0xa5, 0x82}, + subYX: fp.Elt{0xd0, 0xf5, 0x65, 0x40, 0xec, 0x8e, 0x65, 0x42, 0x78, 0xc1, 0x65, 0xe4, 0x10, 0xc8, 0x0b, 0x1b, 0xdd, 0x96, 0x68, 0xce, 0xee, 0x45, 0x55, 0xd8, 0x6e, 0xd3, 0xe6, 0x77, 0x19, 0xae, 0xc2, 0x8d, 0x8d, 0x3e, 0x14, 0x3f, 0x6d, 0x00, 0x2f, 0x9b, 0xd1, 0x26, 0x60, 0x28, 0x0f, 0x3a, 0x47, 0xb3, 0xe6, 0x68, 0x28, 0x24, 0x25, 0xca, 0xc8, 0x06}, + dt2: fp.Elt{0x54, 0xbb, 0x60, 0x92, 0xdb, 0x8f, 0x0f, 0x38, 0xe0, 0xe6, 0xe4, 0xc9, 0xcc, 0x14, 0x62, 0x01, 0xc4, 0x2b, 0x0f, 0xcf, 0xed, 0x7d, 0x8e, 0xa4, 0xd9, 0x73, 0x0b, 0xba, 0x0c, 0xaf, 0x0c, 0xf9, 0xe2, 0xeb, 0x29, 0x2a, 0x53, 0xdf, 0x2c, 0x5a, 0xfa, 0x8f, 0xc1, 0x01, 0xd7, 0xb1, 0x45, 0x73, 0x92, 0x32, 0x83, 0x85, 0x12, 0x74, 0x89, 0x44}, + }, + { /* 27P*/ + addYX: fp.Elt{0x0b, 0x73, 0x3c, 0xc2, 0xb1, 0x2e, 0xe1, 0xa7, 0xf5, 0xc9, 0x7a, 0xfb, 0x3d, 0x2d, 0xac, 0x59, 0xdb, 0xfa, 0x36, 0x11, 0xd1, 0x13, 0x04, 0x51, 0x1d, 0xab, 0x9b, 0x6b, 0x93, 0xfe, 0xda, 0xb0, 0x8e, 0xb4, 0x79, 0x11, 0x21, 0x0f, 0x65, 0xb9, 0xbb, 0x79, 0x96, 0x2a, 0xfd, 0x30, 0xe0, 0xb4, 0x2d, 0x9a, 0x55, 0x25, 0x5d, 0xd4, 0xad, 0x2a}, + subYX: fp.Elt{0x9e, 0xc5, 0x04, 0xfe, 0xec, 0x3c, 0x64, 0x1c, 0xed, 0x95, 0xed, 0xae, 0xaf, 0x5c, 0x6e, 0x08, 0x9e, 0x02, 0x29, 0x59, 0x7e, 0x5f, 0xc4, 0x9a, 0xd5, 0x32, 0x72, 0x86, 0xe1, 0x4e, 0x3c, 0xce, 0x99, 0x69, 0x3b, 0xc4, 0xdd, 0x4d, 0xb7, 0xbb, 0xda, 0x3b, 0x1a, 0x99, 0xaa, 0x62, 0x15, 0xc1, 0xf0, 0xb6, 0x6c, 0xec, 0x56, 0xc1, 0xff, 0x0c}, + dt2: fp.Elt{0x2f, 0xf1, 0x3f, 0x7a, 0x2d, 0x56, 0x19, 0x7f, 0xea, 0xbe, 0x59, 0x2e, 0x13, 0x67, 0x81, 0xfb, 0xdb, 0xc8, 0xa3, 0x1d, 0xd5, 0xe9, 0x13, 0x8b, 0x29, 0xdf, 0xcf, 0x9f, 0xe7, 0xd9, 0x0b, 0x70, 0xd3, 0x15, 0x57, 0x4a, 0xe9, 0x50, 0x12, 0x1b, 0x81, 0x4b, 0x98, 0x98, 0xa8, 0x31, 0x1d, 0x27, 0x47, 0x38, 0xed, 0x57, 0x99, 0x26, 0xb2, 0xee}, + }, + { /* 29P*/ + addYX: fp.Elt{0x1c, 0xb2, 0xb2, 0x67, 0x3b, 0x8b, 0x3d, 0x5a, 0x30, 0x7e, 0x38, 0x7e, 0x3c, 0x3d, 0x28, 0x56, 0x59, 0xd8, 0x87, 0x53, 0x8b, 0xe6, 0x6c, 0x5d, 0xe5, 0x0a, 0x33, 0x10, 0xce, 0xa2, 0x17, 0x0d, 0xe8, 0x76, 0xee, 0x68, 0xa8, 0x72, 0x54, 0xbd, 0xa6, 0x24, 0x94, 0x6e, 0x77, 0xc7, 0x53, 0xb7, 0x89, 0x1c, 0x7a, 0xe9, 0x78, 0x9a, 0x74, 0x5f}, + subYX: fp.Elt{0x76, 0x96, 0x1c, 0xcf, 0x08, 0x55, 0xd8, 0x1e, 0x0d, 0xa3, 0x59, 0x95, 0x32, 0xf4, 0xc2, 0x8e, 0x84, 0x5e, 0x4b, 0x04, 0xda, 0x71, 0xc9, 0x78, 0x52, 0xde, 0x14, 0xb4, 0x31, 0xf4, 0xd4, 0xb8, 0x58, 0xc5, 0x20, 0xe8, 0xdd, 0x15, 0xb5, 0xee, 0xea, 0x61, 0xe0, 0xf5, 0xd6, 0xae, 0x55, 0x59, 0x05, 0x3e, 0xaf, 0x74, 0xac, 0x1f, 0x17, 0x82}, + dt2: fp.Elt{0x59, 0x24, 0xcd, 0xfc, 0x11, 0x7e, 0x85, 0x18, 0x3d, 0x69, 0xf7, 0x71, 0x31, 0x66, 0x98, 0x42, 0x95, 0x00, 0x8c, 0xb2, 0xae, 0x39, 0x7e, 0x85, 0xd6, 0xb0, 0x02, 0xec, 0xce, 0xfc, 0x25, 0xb2, 0xe3, 0x99, 0x8e, 0x5b, 0x61, 0x96, 0x2e, 0x6d, 0x96, 0x57, 0x71, 0xa5, 0x93, 0x41, 0x0e, 0x6f, 0xfd, 0x0a, 0xbf, 0xa9, 0xf7, 0x56, 0xa9, 0x3e}, + }, + { /* 31P*/ + addYX: fp.Elt{0xa2, 0x2e, 0x0c, 0x17, 0x4d, 0xcc, 0x85, 0x2c, 0x18, 0xa0, 0xd2, 0x08, 0xba, 0x11, 0xfa, 0x47, 0x71, 0x86, 0xaf, 0x36, 0x6a, 0xd7, 0xfe, 0xb9, 0xb0, 0x2f, 0x89, 0x98, 0x49, 0x69, 0xf8, 0x6a, 0xad, 0x27, 0x5e, 0x0a, 0x22, 0x60, 0x5e, 0x5d, 0xca, 0x06, 0x51, 0x27, 0x99, 0x29, 0x85, 0x68, 0x98, 0xe1, 0xc4, 0x21, 0x50, 0xa0, 0xe9, 0xc1}, + subYX: fp.Elt{0x4d, 0x70, 0xee, 0x91, 0x92, 0x3f, 0xb7, 0xd3, 0x1d, 0xdb, 0x8d, 0x6e, 0x16, 0xf5, 0x65, 0x7d, 0x5f, 0xb5, 0x6c, 0x59, 0x26, 0x70, 0x4b, 0xf2, 0xfc, 0xe7, 0xdf, 0x86, 0xfe, 0xa5, 0xa7, 0xa6, 0x5d, 0xfb, 0x06, 0xe9, 0xf9, 0xcc, 0xc0, 0x37, 0xcc, 0xd8, 0x09, 0x04, 0xd2, 0xa5, 0x1d, 0xd7, 0xb7, 0xce, 0x92, 0xac, 0x3c, 0xad, 0xfb, 0xae}, + dt2: fp.Elt{0x17, 0xa3, 0x9a, 0xc7, 0x86, 0x2a, 0x51, 0xf7, 0x96, 0x79, 0x49, 0x22, 0x2e, 0x5a, 0x01, 0x5c, 0xb5, 0x95, 0xd4, 0xe8, 0xcb, 0x00, 0xca, 0x2d, 0x55, 0xb6, 0x34, 0x36, 0x0b, 0x65, 0x46, 0xf0, 0x49, 0xfc, 0x87, 0x86, 0xe5, 0xc3, 0x15, 0xdb, 0x32, 0xcd, 0xf2, 0xd3, 0x82, 0x4c, 0xe6, 0x61, 0x8a, 0xaf, 0xd4, 0x9e, 0x0f, 0x5a, 0xf2, 0x81}, + }, + { /* 33P*/ + addYX: fp.Elt{0x88, 0x10, 0xc0, 0xcb, 0xf5, 0x77, 0xae, 0xa5, 0xbe, 0xf6, 0xcd, 0x2e, 0x8b, 0x7e, 0xbd, 0x79, 0x62, 0x4a, 0xeb, 0x69, 0xc3, 0x28, 0xaa, 0x72, 0x87, 0xa9, 0x25, 0x87, 0x46, 0xea, 0x0e, 0x62, 0xa3, 0x6a, 0x1a, 0xe2, 0xba, 0xdc, 0x81, 0x10, 0x33, 0x01, 0xf6, 0x16, 0x89, 0x80, 0xc6, 0xcd, 0xdb, 0xdc, 0xba, 0x0e, 0x09, 0x4a, 0x35, 0x4a}, + subYX: fp.Elt{0x86, 0xb2, 0x2b, 0xd0, 0xb8, 0x4a, 0x6d, 0x66, 0x7b, 0x32, 0xdf, 0x3b, 0x1a, 0x19, 0x1f, 0x63, 0xee, 0x1f, 0x3d, 0x1c, 0x5c, 0x14, 0x60, 0x5b, 0x72, 0x49, 0x07, 0xb1, 0x0d, 0x72, 0xc6, 0x35, 0xf0, 0xbc, 0x5e, 0xda, 0x80, 0x6b, 0x64, 0x5b, 0xe5, 0x34, 0x54, 0x39, 0xdd, 0xe6, 0x3c, 0xcb, 0xe5, 0x29, 0x32, 0x06, 0xc6, 0xb1, 0x96, 0x34}, + dt2: fp.Elt{0x85, 0x86, 0xf5, 0x84, 0x86, 0xe6, 0x77, 0x8a, 0x71, 0x85, 0x0c, 0x4f, 0x81, 0x5b, 0x29, 0x06, 0xb5, 0x2e, 0x26, 0x71, 0x07, 0x78, 0x07, 0xae, 0xbc, 0x95, 0x46, 0xc3, 0x65, 0xac, 0xe3, 0x76, 0x51, 0x7d, 0xd4, 0x85, 0x31, 0xe3, 0x43, 0xf3, 0x1b, 0x7c, 0xf7, 0x6b, 0x2c, 0xf8, 0x1c, 0xbb, 0x8d, 0xca, 0xab, 0x4b, 0xba, 0x7f, 0xa4, 0xe2}, + }, + { /* 35P*/ + addYX: fp.Elt{0x1a, 0xee, 0xe7, 0xa4, 0x8a, 0x9d, 0x53, 0x80, 0xc6, 0xb8, 0x4e, 0xdc, 0x89, 0xe0, 0xc4, 0x2b, 0x60, 0x52, 0x6f, 0xec, 0x81, 0xd2, 0x55, 0x6b, 0x1b, 0x6f, 0x17, 0x67, 0x8e, 0x42, 0x26, 0x4c, 0x65, 0x23, 0x29, 0xc6, 0x7b, 0xcd, 0x9f, 0xad, 0x4b, 0x42, 0xd3, 0x0c, 0x75, 0xc3, 0x8a, 0xf5, 0xbe, 0x9e, 0x55, 0xf7, 0x47, 0x5d, 0xbd, 0x3a}, + subYX: fp.Elt{0x0d, 0xa8, 0x3b, 0xf9, 0xc7, 0x7e, 0xc6, 0x86, 0x94, 0xc0, 0x01, 0xff, 0x27, 0xce, 0x43, 0xac, 0xe5, 0xe1, 0xd2, 0x8d, 0xc1, 0x22, 0x31, 0xbe, 0xe1, 0xaf, 0xf9, 0x4a, 0x78, 0xa1, 0x0c, 0xaa, 0xd4, 0x80, 0xe4, 0x09, 0x8d, 0xfb, 0x1d, 0x52, 0xc8, 0x60, 0x2d, 0xf2, 0xa2, 0x89, 0x02, 0x56, 0x3d, 0x56, 0x27, 0x85, 0xc7, 0xf0, 0x2b, 0x9a}, + dt2: fp.Elt{0x62, 0x7c, 0xc7, 0x6b, 0x2c, 0x9d, 0x0a, 0x7c, 0xe5, 0x50, 0x3c, 0xe6, 0x87, 0x1c, 0x82, 0x30, 0x67, 0x3c, 0x39, 0xb6, 0xa0, 0x31, 0xfb, 0x03, 0x7b, 0xa1, 0x58, 0xdf, 0x12, 0x76, 0x5d, 0x5d, 0x0a, 0x8f, 0x9b, 0x37, 0x32, 0xc3, 0x60, 0x33, 0xea, 0x9f, 0x0a, 0x99, 0xfa, 0x20, 0xd0, 0x33, 0x21, 0xc3, 0x94, 0xd4, 0x86, 0x49, 0x7c, 0x4e}, + }, + { /* 37P*/ + addYX: fp.Elt{0xc7, 0x0c, 0x71, 0xfe, 0x55, 0xd1, 0x95, 0x8f, 0x43, 0xbb, 0x6b, 0x74, 0x30, 0xbd, 0xe8, 0x6f, 0x1c, 0x1b, 0x06, 0x62, 0xf5, 0xfc, 0x65, 0xa0, 0xeb, 0x81, 0x12, 0xc9, 0x64, 0x66, 0x61, 0xde, 0xf3, 0x6d, 0xd4, 0xae, 0x8e, 0xb1, 0x72, 0xe0, 0xcd, 0x37, 0x01, 0x28, 0x52, 0xd7, 0x39, 0x46, 0x0c, 0x55, 0xcf, 0x47, 0x70, 0xef, 0xa1, 0x17}, + subYX: fp.Elt{0x8d, 0x58, 0xde, 0x83, 0x88, 0x16, 0x0e, 0x12, 0x42, 0x03, 0x50, 0x60, 0x4b, 0xdf, 0xbf, 0x95, 0xcc, 0x7d, 0x18, 0x17, 0x7e, 0x31, 0x5d, 0x8a, 0x66, 0xc1, 0xcf, 0x14, 0xea, 0xf4, 0xf4, 0xe5, 0x63, 0x2d, 0x32, 0x86, 0x9b, 0xed, 0x1f, 0x4f, 0x03, 0xaf, 0x33, 0x92, 0xcb, 0xaf, 0x9c, 0x05, 0x0d, 0x47, 0x1b, 0x42, 0xba, 0x13, 0x22, 0x98}, + dt2: fp.Elt{0xb5, 0x48, 0xeb, 0x7d, 0x3d, 0x10, 0x9f, 0x59, 0xde, 0xf8, 0x1c, 0x4f, 0x7d, 0x9d, 0x40, 0x4d, 0x9e, 0x13, 0x24, 0xb5, 0x21, 0x09, 0xb7, 0xee, 0x98, 0x5c, 0x56, 0xbc, 0x5e, 0x2b, 0x78, 0x38, 0x06, 0xac, 0xe3, 0xe0, 0xfa, 0x2e, 0xde, 0x4f, 0xd2, 0xb3, 0xfb, 0x2d, 0x71, 0x84, 0xd1, 0x9d, 0x12, 0x5b, 0x35, 0xc8, 0x03, 0x68, 0x67, 0xc7}, + }, + { /* 39P*/ + addYX: fp.Elt{0xb6, 0x65, 0xfb, 0xa7, 0x06, 0x35, 0xbb, 0xe0, 0x31, 0x8d, 0x91, 0x40, 0x98, 0xab, 0x30, 0xe4, 0xca, 0x12, 0x59, 0x89, 0xed, 0x65, 0x5d, 0x7f, 0xae, 0x69, 0xa0, 0xa4, 0xfa, 0x78, 0xb4, 0xf7, 0xed, 0xae, 0x86, 0x78, 0x79, 0x64, 0x24, 0xa6, 0xd4, 0xe1, 0xf6, 0xd3, 0xa0, 0x89, 0xba, 0x20, 0xf4, 0x54, 0x0d, 0x8f, 0xdb, 0x1a, 0x79, 0xdb}, + subYX: fp.Elt{0xe1, 0x82, 0x0c, 0x4d, 0xde, 0x9f, 0x40, 0xf0, 0xc1, 0xbd, 0x8b, 0xd3, 0x24, 0x03, 0xcd, 0xf2, 0x92, 0x7d, 0xe2, 0x68, 0x7f, 0xf1, 0xbe, 0x69, 0xde, 0x34, 0x67, 0x4c, 0x85, 0x3b, 0xec, 0x98, 0xcc, 0x4d, 0x3e, 0xc0, 0x96, 0x27, 0xe6, 0x75, 0xfc, 0xdf, 0x37, 0xc0, 0x1e, 0x27, 0xe0, 0xf6, 0xc2, 0xbd, 0xbc, 0x3d, 0x9b, 0x39, 0xdc, 0xe2}, + dt2: fp.Elt{0xd8, 0x29, 0xa7, 0x39, 0xe3, 0x9f, 0x2f, 0x0e, 0x4b, 0x24, 0x21, 0x70, 0xef, 0xfd, 0x91, 0xea, 0xbf, 0xe1, 0x72, 0x90, 0xcc, 0xc9, 0x84, 0x0e, 0xad, 0xd5, 0xe6, 0xbb, 0xc5, 0x99, 0x7f, 0xa4, 0xf0, 0x2e, 0xcc, 0x95, 0x64, 0x27, 0x19, 0xd8, 0x4c, 0x27, 0x0d, 0xff, 0xb6, 0x29, 0xe2, 0x6c, 0xfa, 0xbb, 0x4d, 0x9c, 0xbb, 0xaf, 0xa5, 0xec}, + }, + { /* 41P*/ + addYX: fp.Elt{0xd6, 0x33, 0x3f, 0x9f, 0xcf, 0xfd, 0x4c, 0xd1, 0xfe, 0xe5, 0xeb, 0x64, 0x27, 0xae, 0x7a, 0xa2, 0x82, 0x50, 0x6d, 0xaa, 0xe3, 0x5d, 0xe2, 0x48, 0x60, 0xb3, 0x76, 0x04, 0xd9, 0x19, 0xa7, 0xa1, 0x73, 0x8d, 0x38, 0xa9, 0xaf, 0x45, 0xb5, 0xb2, 0x62, 0x9b, 0xf1, 0x35, 0x7b, 0x84, 0x66, 0xeb, 0x06, 0xef, 0xf1, 0xb2, 0x2d, 0x6a, 0x61, 0x15}, + subYX: fp.Elt{0x86, 0x50, 0x42, 0xf7, 0xda, 0x59, 0xb2, 0xcf, 0x0d, 0x3d, 0xee, 0x8e, 0x53, 0x5d, 0xf7, 0x9e, 0x6a, 0x26, 0x2d, 0xc7, 0x8c, 0x8e, 0x18, 0x50, 0x6d, 0xb7, 0x51, 0x4c, 0xa7, 0x52, 0x6e, 0x0e, 0x0a, 0x16, 0x74, 0xb2, 0x81, 0x8b, 0x56, 0x27, 0x22, 0x84, 0xf4, 0x56, 0xc5, 0x06, 0xe1, 0x8b, 0xca, 0x2d, 0xdb, 0x9a, 0xf6, 0x10, 0x9c, 0x51}, + dt2: fp.Elt{0x1f, 0x16, 0xa2, 0x78, 0x96, 0x1b, 0x85, 0x9c, 0x76, 0x49, 0xd4, 0x0f, 0xac, 0xb0, 0xf4, 0xd0, 0x06, 0x2c, 0x7e, 0x6d, 0x6e, 0x8e, 0xc7, 0x9f, 0x18, 0xad, 0xfc, 0x88, 0x0c, 0x0c, 0x09, 0x05, 0x05, 0xa0, 0x79, 0x72, 0x32, 0x72, 0x87, 0x0f, 0x49, 0x87, 0x0c, 0xb4, 0x12, 0xc2, 0x09, 0xf8, 0x9f, 0x30, 0x72, 0xa9, 0x47, 0x13, 0x93, 0x49}, + }, + { /* 43P*/ + addYX: fp.Elt{0xcc, 0xb1, 0x4c, 0xd3, 0xc0, 0x9e, 0x9e, 0x4d, 0x6d, 0x28, 0x0b, 0xa5, 0x94, 0xa7, 0x2e, 0xc2, 0xc7, 0xaf, 0x29, 0x73, 0xc9, 0x68, 0xea, 0x0f, 0x34, 0x37, 0x8d, 0x96, 0x8f, 0x3a, 0x3d, 0x73, 0x1e, 0x6d, 0x9f, 0xcf, 0x8d, 0x83, 0xb5, 0x71, 0xb9, 0xe1, 0x4b, 0x67, 0x71, 0xea, 0xcf, 0x56, 0xe5, 0xeb, 0x72, 0x15, 0x2f, 0x9e, 0xa8, 0xaa}, + subYX: fp.Elt{0xf4, 0x3e, 0x85, 0x1c, 0x1a, 0xef, 0x50, 0xd1, 0xb4, 0x20, 0xb2, 0x60, 0x05, 0x98, 0xfe, 0x47, 0x3b, 0xc1, 0x76, 0xca, 0x2c, 0x4e, 0x5a, 0x42, 0xa3, 0xf7, 0x20, 0xaa, 0x57, 0x39, 0xee, 0x34, 0x1f, 0xe1, 0x68, 0xd3, 0x7e, 0x06, 0xc4, 0x6c, 0xc7, 0x76, 0x2b, 0xe4, 0x1c, 0x48, 0x44, 0xe6, 0xe5, 0x44, 0x24, 0x8d, 0xb3, 0xb6, 0x88, 0x32}, + dt2: fp.Elt{0x18, 0xa7, 0xba, 0xd0, 0x44, 0x6f, 0x33, 0x31, 0x00, 0xf8, 0xf6, 0x12, 0xe3, 0xc5, 0xc7, 0xb5, 0x91, 0x9c, 0x91, 0xb5, 0x75, 0x18, 0x18, 0x8a, 0xab, 0xed, 0x24, 0x11, 0x2e, 0xce, 0x5a, 0x0f, 0x94, 0x5f, 0x2e, 0xca, 0xd3, 0x80, 0xea, 0xe5, 0x34, 0x96, 0x67, 0x8b, 0x6a, 0x26, 0x5e, 0xc8, 0x9d, 0x2c, 0x5e, 0x6c, 0xa2, 0x0c, 0xbf, 0xf0}, + }, + { /* 45P*/ + addYX: fp.Elt{0xb3, 0xbf, 0xa3, 0x85, 0xee, 0xf6, 0x58, 0x02, 0x78, 0xc4, 0x30, 0xd6, 0x57, 0x59, 0x8c, 0x88, 0x08, 0x7c, 0xbc, 0xbe, 0x0a, 0x74, 0xa9, 0xde, 0x69, 0xe7, 0x41, 0xd8, 0xbf, 0x66, 0x8d, 0x3d, 0x28, 0x00, 0x8c, 0x47, 0x65, 0x34, 0xfe, 0x86, 0x9e, 0x6a, 0xf2, 0x41, 0x6a, 0x94, 0xc4, 0x88, 0x75, 0x23, 0x0d, 0x52, 0x69, 0xee, 0x07, 0x89}, + subYX: fp.Elt{0x22, 0x3c, 0xa1, 0x70, 0x58, 0x97, 0x93, 0xbe, 0x59, 0xa8, 0x0b, 0x8a, 0x46, 0x2a, 0x38, 0x1e, 0x08, 0x6b, 0x61, 0x9f, 0xf2, 0x4a, 0x8b, 0x80, 0x68, 0x6e, 0xc8, 0x92, 0x60, 0xf3, 0xc9, 0x89, 0xb2, 0x6d, 0x63, 0xb0, 0xeb, 0x83, 0x15, 0x63, 0x0e, 0x64, 0xbb, 0xb8, 0xfe, 0xb4, 0x81, 0x90, 0x01, 0x28, 0x10, 0xb9, 0x74, 0x6e, 0xde, 0xa4}, + dt2: fp.Elt{0x1a, 0x23, 0x45, 0xa8, 0x6f, 0x4e, 0xa7, 0x4a, 0x0c, 0xeb, 0xb0, 0x43, 0xf9, 0xef, 0x99, 0x60, 0x5b, 0xdb, 0x66, 0xc0, 0x86, 0x71, 0x43, 0xb1, 0x22, 0x7b, 0x1c, 0xe7, 0x8d, 0x09, 0x1d, 0x83, 0x76, 0x9c, 0xd3, 0x5a, 0xdd, 0x42, 0xd9, 0x2f, 0x2d, 0xba, 0x7a, 0xc2, 0xd9, 0x6b, 0xd4, 0x7a, 0xf1, 0xd5, 0x5f, 0x6b, 0x85, 0xbf, 0x0b, 0xf1}, + }, + { /* 47P*/ + addYX: fp.Elt{0xb2, 0x83, 0xfa, 0x1f, 0xd2, 0xce, 0xb6, 0xf2, 0x2d, 0xea, 0x1b, 0xe5, 0x29, 0xa5, 0x72, 0xf9, 0x25, 0x48, 0x4e, 0xf2, 0x50, 0x1b, 0x39, 0xda, 0x34, 0xc5, 0x16, 0x13, 0xb4, 0x0c, 0xa1, 0x00, 0x79, 0x7a, 0xf5, 0x8b, 0xf3, 0x70, 0x14, 0xb6, 0xfc, 0x9a, 0x47, 0x68, 0x1e, 0x42, 0x70, 0x64, 0x2a, 0x84, 0x3e, 0x3d, 0x20, 0x58, 0xf9, 0x6a}, + subYX: fp.Elt{0xd9, 0xee, 0xc0, 0xc4, 0xf5, 0xc2, 0x86, 0xaf, 0x45, 0xd2, 0xd2, 0x87, 0x1b, 0x64, 0xd5, 0xe0, 0x8c, 0x44, 0x00, 0x4f, 0x43, 0x89, 0x04, 0x48, 0x4a, 0x0b, 0xca, 0x94, 0x06, 0x2f, 0x23, 0x5b, 0x6c, 0x8d, 0x44, 0x66, 0x53, 0xf5, 0x5a, 0x20, 0x72, 0x28, 0x58, 0x84, 0xcc, 0x73, 0x22, 0x5e, 0xd1, 0x0b, 0x56, 0x5e, 0x6a, 0xa3, 0x11, 0x91}, + dt2: fp.Elt{0x6e, 0x9f, 0x88, 0xa8, 0x68, 0x2f, 0x12, 0x37, 0x88, 0xfc, 0x92, 0x8f, 0x24, 0xeb, 0x5b, 0x2a, 0x2a, 0xd0, 0x14, 0x40, 0x4c, 0xa9, 0xa4, 0x03, 0x0c, 0x45, 0x48, 0x13, 0xe8, 0xa6, 0x37, 0xab, 0xc0, 0x06, 0x38, 0x6c, 0x96, 0x73, 0x40, 0x6c, 0xc6, 0xea, 0x56, 0xc6, 0xe9, 0x1a, 0x69, 0xeb, 0x7a, 0xd1, 0x33, 0x69, 0x58, 0x2b, 0xea, 0x2f}, + }, + { /* 49P*/ + addYX: fp.Elt{0x58, 0xa8, 0x05, 0x41, 0x00, 0x9d, 0xaa, 0xd9, 0x98, 0xcf, 0xb9, 0x41, 0xb5, 0x4a, 0x8d, 0xe2, 0xe7, 0xc0, 0x72, 0xef, 0xc8, 0x28, 0x6b, 0x68, 0x9d, 0xc9, 0xdf, 0x05, 0x8b, 0xd0, 0x04, 0x74, 0x79, 0x45, 0x52, 0x05, 0xa3, 0x6e, 0x35, 0x3a, 0xe3, 0xef, 0xb2, 0xdc, 0x08, 0x6f, 0x4e, 0x76, 0x85, 0x67, 0xba, 0x23, 0x8f, 0xdd, 0xaf, 0x09}, + subYX: fp.Elt{0xb4, 0x38, 0xc8, 0xff, 0x4f, 0x65, 0x2a, 0x7e, 0xad, 0xb1, 0xc6, 0xb9, 0x3d, 0xd6, 0xf7, 0x14, 0xcf, 0xf6, 0x98, 0x75, 0xbb, 0x47, 0x83, 0x90, 0xe7, 0xe1, 0xf6, 0x14, 0x99, 0x7e, 0xfa, 0xe4, 0x77, 0x24, 0xe3, 0xe7, 0xf0, 0x1e, 0xdb, 0x27, 0x4e, 0x16, 0x04, 0xf2, 0x08, 0x52, 0xfc, 0xec, 0x55, 0xdb, 0x2e, 0x67, 0xe1, 0x94, 0x32, 0x89}, + dt2: fp.Elt{0x00, 0xad, 0x03, 0x35, 0x1a, 0xb1, 0x88, 0xf0, 0xc9, 0x11, 0xe4, 0x12, 0x52, 0x61, 0xfd, 0x8a, 0x1b, 0x6a, 0x0a, 0x4c, 0x42, 0x46, 0x22, 0x0e, 0xa5, 0xf9, 0xe2, 0x50, 0xf2, 0xb2, 0x1f, 0x20, 0x78, 0x10, 0xf6, 0xbf, 0x7f, 0x0c, 0x9c, 0xad, 0x40, 0x8b, 0x82, 0xd4, 0xba, 0x69, 0x09, 0xac, 0x4b, 0x6d, 0xc4, 0x49, 0x17, 0x81, 0x57, 0x3b}, + }, + { /* 51P*/ + addYX: fp.Elt{0x0d, 0xfe, 0xb4, 0x35, 0x11, 0xbd, 0x1d, 0x6b, 0xc2, 0xc5, 0x3b, 0xd2, 0x23, 0x2c, 0x72, 0xe3, 0x48, 0xb1, 0x48, 0x73, 0xfb, 0xa3, 0x21, 0x6e, 0xc0, 0x09, 0x69, 0xac, 0xe1, 0x60, 0xbc, 0x24, 0x03, 0x99, 0x63, 0x0a, 0x00, 0xf0, 0x75, 0xf6, 0x92, 0xc5, 0xd6, 0xdb, 0x51, 0xd4, 0x7d, 0xe6, 0xf4, 0x11, 0x79, 0xd7, 0xc3, 0xaf, 0x48, 0xd0}, + subYX: fp.Elt{0xf4, 0x4f, 0xaf, 0x31, 0xe3, 0x10, 0x89, 0x95, 0xf0, 0x8a, 0xf6, 0x31, 0x9f, 0x48, 0x02, 0xba, 0x42, 0x2b, 0x3c, 0x22, 0x8b, 0xcc, 0x12, 0x98, 0x6e, 0x7a, 0x64, 0x3a, 0xc4, 0xca, 0x32, 0x2a, 0x72, 0xf8, 0x2c, 0xcf, 0x78, 0x5e, 0x7a, 0x75, 0x6e, 0x72, 0x46, 0x48, 0x62, 0x28, 0xac, 0x58, 0x1a, 0xc6, 0x59, 0x88, 0x2a, 0x44, 0x9e, 0x83}, + dt2: fp.Elt{0xb3, 0xde, 0x36, 0xfd, 0xeb, 0x1b, 0xd4, 0x24, 0x1b, 0x08, 0x8c, 0xfe, 0xa9, 0x41, 0xa1, 0x64, 0xf2, 0x6d, 0xdb, 0xf9, 0x94, 0xae, 0x86, 0x71, 0xab, 0x10, 0xbf, 0xa3, 0xb2, 0xa0, 0xdf, 0x10, 0x8c, 0x74, 0xce, 0xb3, 0xfc, 0xdb, 0xba, 0x15, 0xf6, 0x91, 0x7a, 0x9c, 0x36, 0x1e, 0x45, 0x07, 0x3c, 0xec, 0x1a, 0x61, 0x26, 0x93, 0xe3, 0x50}, + }, + { /* 53P*/ + addYX: fp.Elt{0xc5, 0x50, 0xc5, 0x83, 0xb0, 0xbd, 0xd9, 0xf6, 0x6d, 0x15, 0x5e, 0xc1, 0x1a, 0x33, 0xa0, 0xce, 0x13, 0x70, 0x3b, 0xe1, 0x31, 0xc6, 0xc4, 0x02, 0xec, 0x8c, 0xd5, 0x9c, 0x97, 0xd3, 0x12, 0xc4, 0xa2, 0xf9, 0xd5, 0xfb, 0x22, 0x69, 0x94, 0x09, 0x2f, 0x59, 0xce, 0xdb, 0xf2, 0xf2, 0x00, 0xe0, 0xa9, 0x08, 0x44, 0x2e, 0x8b, 0x6b, 0xf5, 0xb3}, + subYX: fp.Elt{0x90, 0xdd, 0xec, 0xa2, 0x65, 0xb7, 0x61, 0xbc, 0xaa, 0x70, 0xa2, 0x15, 0xd8, 0xb0, 0xf8, 0x8e, 0x23, 0x3d, 0x9f, 0x46, 0xa3, 0x29, 0x20, 0xd1, 0xa1, 0x15, 0x81, 0xc6, 0xb6, 0xde, 0xbe, 0x60, 0x63, 0x24, 0xac, 0x15, 0xfb, 0xeb, 0xd3, 0xea, 0x57, 0x13, 0x86, 0x38, 0x1e, 0x22, 0xf4, 0x8c, 0x5d, 0xaf, 0x1b, 0x27, 0x21, 0x4f, 0xa3, 0x63}, + dt2: fp.Elt{0x07, 0x15, 0x87, 0xc4, 0xfd, 0xa1, 0x97, 0x7a, 0x07, 0x1f, 0x56, 0xcc, 0xe3, 0x6a, 0x01, 0x90, 0xce, 0xf9, 0xfa, 0x50, 0xb2, 0xe0, 0x87, 0x8b, 0x6c, 0x63, 0x6c, 0xf6, 0x2a, 0x09, 0xef, 0xef, 0xd2, 0x31, 0x40, 0x25, 0xf6, 0x84, 0xcb, 0xe0, 0xc4, 0x23, 0xc1, 0xcb, 0xe2, 0x02, 0x83, 0x2d, 0xed, 0x74, 0x74, 0x8b, 0xf8, 0x7c, 0x81, 0x18}, + }, + { /* 55P*/ + addYX: fp.Elt{0x9e, 0xe5, 0x59, 0x95, 0x63, 0x2e, 0xac, 0x8b, 0x03, 0x3c, 0xc1, 0x8e, 0xe1, 0x5b, 0x56, 0x3c, 0x16, 0x41, 0xe4, 0xc2, 0x60, 0x0c, 0x6d, 0x65, 0x9f, 0xfc, 0x27, 0x68, 0x43, 0x44, 0x05, 0x12, 0x6c, 0xda, 0x04, 0xef, 0xcf, 0xcf, 0xdc, 0x0a, 0x1a, 0x7f, 0x12, 0xd3, 0xeb, 0x02, 0xb6, 0x04, 0xca, 0xd6, 0xcb, 0xf0, 0x22, 0xba, 0x35, 0x6d}, + subYX: fp.Elt{0x09, 0x6d, 0xf9, 0x64, 0x4c, 0xe6, 0x41, 0xff, 0x01, 0x4d, 0xce, 0x1e, 0xfa, 0x38, 0xa2, 0x25, 0x62, 0xff, 0x03, 0x39, 0x18, 0x91, 0xbb, 0x9d, 0xce, 0x02, 0xf0, 0xf1, 0x3c, 0x55, 0x18, 0xa9, 0xab, 0x4d, 0xd2, 0x35, 0xfd, 0x8d, 0xa9, 0xb2, 0xad, 0xb7, 0x06, 0x6e, 0xc6, 0x69, 0x49, 0xd6, 0x98, 0x98, 0x0b, 0x22, 0x81, 0x6b, 0xbd, 0xa0}, + dt2: fp.Elt{0x22, 0xf4, 0x85, 0x5d, 0x2b, 0xf1, 0x55, 0xa5, 0xd6, 0x27, 0x86, 0x57, 0x12, 0x1f, 0x16, 0x0a, 0x5a, 0x9b, 0xf2, 0x38, 0xb6, 0x28, 0xd8, 0x99, 0x0c, 0x89, 0x1d, 0x7f, 0xca, 0x21, 0x17, 0x1a, 0x0b, 0x02, 0x5f, 0x77, 0x2f, 0x73, 0x30, 0x7c, 0xc8, 0xd7, 0x2b, 0xcc, 0xe7, 0xf3, 0x21, 0xac, 0x53, 0xa7, 0x11, 0x5d, 0xd8, 0x1d, 0x9b, 0xf5}, + }, + { /* 57P*/ + addYX: fp.Elt{0x94, 0x63, 0x5d, 0xef, 0xfd, 0x6d, 0x25, 0x4e, 0x6d, 0x29, 0x03, 0xed, 0x24, 0x28, 0x27, 0x57, 0x47, 0x3e, 0x6a, 0x1a, 0xfe, 0x37, 0xee, 0x5f, 0x83, 0x29, 0x14, 0xfd, 0x78, 0x25, 0x8a, 0xe1, 0x02, 0x38, 0xd8, 0xca, 0x65, 0x55, 0x40, 0x7d, 0x48, 0x2c, 0x7c, 0x7e, 0x60, 0xb6, 0x0c, 0x6d, 0xf7, 0xe8, 0xb3, 0x62, 0x53, 0xd6, 0x9c, 0x2b}, + subYX: fp.Elt{0x47, 0x25, 0x70, 0x62, 0xf5, 0x65, 0x93, 0x62, 0x08, 0xac, 0x59, 0x66, 0xdb, 0x08, 0xd9, 0x1a, 0x19, 0xaf, 0xf4, 0xef, 0x02, 0xa2, 0x78, 0xa9, 0x55, 0x1c, 0xfa, 0x08, 0x11, 0xcb, 0xa3, 0x71, 0x74, 0xb1, 0x62, 0xe7, 0xc7, 0xf3, 0x5a, 0xb5, 0x8b, 0xd4, 0xf6, 0x10, 0x57, 0x79, 0x72, 0x2f, 0x13, 0x86, 0x7b, 0x44, 0x5f, 0x48, 0xfd, 0x88}, + dt2: fp.Elt{0x10, 0x02, 0xcd, 0x05, 0x9a, 0xc3, 0x32, 0x6d, 0x10, 0x3a, 0x74, 0xba, 0x06, 0xc4, 0x3b, 0x34, 0xbc, 0x36, 0xed, 0xa3, 0xba, 0x9a, 0xdb, 0x6d, 0xd4, 0x69, 0x99, 0x97, 0xd0, 0xe4, 0xdd, 0xf5, 0xd4, 0x7c, 0xd3, 0x4e, 0xab, 0xd1, 0x3b, 0xbb, 0xe9, 0xc7, 0x6a, 0x94, 0x25, 0x61, 0xf0, 0x06, 0xc5, 0x12, 0xa8, 0x86, 0xe5, 0x35, 0x46, 0xeb}, + }, + { /* 59P*/ + addYX: fp.Elt{0x9e, 0x95, 0x11, 0xc6, 0xc7, 0xe8, 0xee, 0x5a, 0x26, 0xa0, 0x72, 0x72, 0x59, 0x91, 0x59, 0x16, 0x49, 0x99, 0x7e, 0xbb, 0xd7, 0x15, 0xb4, 0xf2, 0x40, 0xf9, 0x5a, 0x4d, 0xc8, 0xa0, 0xe2, 0x34, 0x7b, 0x34, 0xf3, 0x99, 0xbf, 0xa9, 0xf3, 0x79, 0xc1, 0x1a, 0x0c, 0xf4, 0x86, 0x74, 0x4e, 0xcb, 0xbc, 0x90, 0xad, 0xb6, 0x51, 0x6d, 0xaa, 0x33}, + subYX: fp.Elt{0x9f, 0xd1, 0xc5, 0xa2, 0x6c, 0x24, 0x88, 0x15, 0x71, 0x68, 0xf6, 0x07, 0x45, 0x02, 0xc4, 0x73, 0x7e, 0x75, 0x87, 0xca, 0x7c, 0xf0, 0x92, 0x00, 0x75, 0xd6, 0x5a, 0xdd, 0xe0, 0x64, 0x16, 0x9d, 0x62, 0x80, 0x33, 0x9f, 0xf4, 0x8e, 0x1a, 0x15, 0x1c, 0xd3, 0x0f, 0x4d, 0x4f, 0x62, 0x2d, 0xd7, 0xa5, 0x77, 0xe3, 0xea, 0xf0, 0xfb, 0x1a, 0xdb}, + dt2: fp.Elt{0x6a, 0xa2, 0xb1, 0xaa, 0xfb, 0x5a, 0x32, 0x4e, 0xff, 0x47, 0x06, 0xd5, 0x9a, 0x4f, 0xce, 0x83, 0x5b, 0x82, 0x34, 0x3e, 0x47, 0xb8, 0xf8, 0xe9, 0x7c, 0x67, 0x69, 0x8d, 0x9c, 0xb7, 0xde, 0x57, 0xf4, 0x88, 0x41, 0x56, 0x0c, 0x87, 0x1e, 0xc9, 0x2f, 0x54, 0xbf, 0x5c, 0x68, 0x2c, 0xd9, 0xc4, 0xef, 0x53, 0x73, 0x1e, 0xa6, 0x38, 0x02, 0x10}, + }, + { /* 61P*/ + addYX: fp.Elt{0x08, 0x80, 0x4a, 0xc9, 0xb7, 0xa8, 0x88, 0xd9, 0xfc, 0x6a, 0xc0, 0x3e, 0xc2, 0x33, 0x4d, 0x2b, 0x2a, 0xa3, 0x6d, 0x72, 0x3e, 0xdc, 0x34, 0x68, 0x08, 0xbf, 0x27, 0xef, 0xf4, 0xff, 0xe2, 0x0c, 0x31, 0x0c, 0xa2, 0x0a, 0x1f, 0x65, 0xc1, 0x4c, 0x61, 0xd3, 0x1b, 0xbc, 0x25, 0xb1, 0xd0, 0xd4, 0x89, 0xb2, 0x53, 0xfb, 0x43, 0xa5, 0xaf, 0x04}, + subYX: fp.Elt{0xe3, 0xe1, 0x37, 0xad, 0x58, 0xa9, 0x55, 0x81, 0xee, 0x64, 0x21, 0xb9, 0xf5, 0x4c, 0x35, 0xea, 0x4a, 0xd3, 0x26, 0xaa, 0x90, 0xd4, 0x60, 0x46, 0x09, 0x4b, 0x4a, 0x62, 0xf9, 0xcd, 0xe1, 0xee, 0xbb, 0xc2, 0x09, 0x0b, 0xb0, 0x96, 0x8e, 0x43, 0x77, 0xaf, 0x25, 0x20, 0x5e, 0x47, 0xe4, 0x1d, 0x50, 0x69, 0x74, 0x08, 0xd7, 0xb9, 0x90, 0x13}, + dt2: fp.Elt{0x51, 0x91, 0x95, 0x64, 0x03, 0x16, 0xfd, 0x6e, 0x26, 0x94, 0x6b, 0x61, 0xe7, 0xd9, 0xe0, 0x4a, 0x6d, 0x7c, 0xfa, 0xc0, 0xe2, 0x43, 0x23, 0x53, 0x70, 0xf5, 0x6f, 0x73, 0x8b, 0x81, 0xb0, 0x0c, 0xee, 0x2e, 0x46, 0xf2, 0x8d, 0xa6, 0xfb, 0xb5, 0x1c, 0x33, 0xbf, 0x90, 0x59, 0xc9, 0x7c, 0xb8, 0x6f, 0xad, 0x75, 0x02, 0x90, 0x8e, 0x59, 0x75}, + }, + { /* 63P*/ + addYX: fp.Elt{0x36, 0x4d, 0x77, 0x04, 0xb8, 0x7d, 0x4a, 0xd1, 0xc5, 0xbb, 0x7b, 0x50, 0x5f, 0x8d, 0x9d, 0x62, 0x0f, 0x66, 0x71, 0xec, 0x87, 0xc5, 0x80, 0x82, 0xc8, 0xf4, 0x6a, 0x94, 0x92, 0x5b, 0xb0, 0x16, 0x9b, 0xb2, 0xc9, 0x6f, 0x2b, 0x2d, 0xee, 0x95, 0x73, 0x2e, 0xc2, 0x1b, 0xc5, 0x55, 0x36, 0x86, 0x24, 0xf8, 0x20, 0x05, 0x0d, 0x93, 0xd7, 0x76}, + subYX: fp.Elt{0x7f, 0x01, 0xeb, 0x2e, 0x48, 0x4d, 0x1d, 0xf1, 0x06, 0x7e, 0x7c, 0x2a, 0x43, 0xbf, 0x28, 0xac, 0xe9, 0x58, 0x13, 0xc8, 0xbf, 0x8e, 0xc0, 0xef, 0xe8, 0x4f, 0x46, 0x8a, 0xe7, 0xc0, 0xf6, 0x0f, 0x0a, 0x03, 0x48, 0x91, 0x55, 0x39, 0x2a, 0xe3, 0xdc, 0xf6, 0x22, 0x9d, 0x4d, 0x71, 0x55, 0x68, 0x25, 0x6e, 0x95, 0x52, 0xee, 0x4c, 0xd9, 0x01}, + dt2: fp.Elt{0xac, 0x33, 0x3f, 0x7c, 0x27, 0x35, 0x15, 0x91, 0x33, 0x8d, 0xf9, 0xc4, 0xf4, 0xf3, 0x90, 0x09, 0x75, 0x69, 0x62, 0x9f, 0x61, 0x35, 0x83, 0x92, 0x04, 0xef, 0x96, 0x38, 0x80, 0x9e, 0x88, 0xb3, 0x67, 0x95, 0xbe, 0x79, 0x3c, 0x35, 0xd8, 0xdc, 0xb2, 0x3e, 0x2d, 0xe6, 0x46, 0xbe, 0x81, 0xf3, 0x32, 0x0e, 0x37, 0x23, 0x75, 0x2a, 0x3d, 0xa0}, + }, +} diff --git a/vendor/github.com/cloudflare/circl/ecc/goldilocks/twist_basemult.go b/vendor/github.com/cloudflare/circl/ecc/goldilocks/twist_basemult.go new file mode 100644 index 0000000000..f6ac5edbbb --- /dev/null +++ b/vendor/github.com/cloudflare/circl/ecc/goldilocks/twist_basemult.go @@ -0,0 +1,62 @@ +package goldilocks + +import ( + "crypto/subtle" + + mlsb "github.com/cloudflare/circl/math/mlsbset" +) + +const ( + // MLSBRecoding parameters + fxT = 448 + fxV = 2 + fxW = 3 + fx2w1 = 1 << (uint(fxW) - 1) +) + +// ScalarBaseMult returns kG where G is the generator point. +func (e twistCurve) ScalarBaseMult(k *Scalar) *twistPoint { + m, err := mlsb.New(fxT, fxV, fxW) + if err != nil { + panic(err) + } + if m.IsExtended() { + panic("not extended") + } + + var isZero int + if k.IsZero() { + isZero = 1 + } + subtle.ConstantTimeCopy(isZero, k[:], order[:]) + + minusK := *k + isEven := 1 - int(k[0]&0x1) + minusK.Neg() + subtle.ConstantTimeCopy(isEven, k[:], minusK[:]) + c, err := m.Encode(k[:]) + if err != nil { + panic(err) + } + + gP := c.Exp(groupMLSB{}) + P := gP.(*twistPoint) + P.cneg(uint(isEven)) + return P +} + +type groupMLSB struct{} + +func (e groupMLSB) ExtendedEltP() mlsb.EltP { return nil } +func (e groupMLSB) Sqr(x mlsb.EltG) { x.(*twistPoint).Double() } +func (e groupMLSB) Mul(x mlsb.EltG, y mlsb.EltP) { x.(*twistPoint).mixAddZ1(y.(*preTwistPointAffine)) } +func (e groupMLSB) Identity() mlsb.EltG { return twistCurve{}.Identity() } +func (e groupMLSB) NewEltP() mlsb.EltP { return &preTwistPointAffine{} } +func (e groupMLSB) Lookup(a mlsb.EltP, v uint, s, u int32) { + Tabj := &tabFixMult[v] + P := a.(*preTwistPointAffine) + for k := range Tabj { + P.cmov(&Tabj[k], uint(subtle.ConstantTimeEq(int32(k), u))) + } + P.cneg(int(s >> 31)) +} diff --git a/vendor/github.com/cloudflare/circl/internal/conv/conv.go b/vendor/github.com/cloudflare/circl/internal/conv/conv.go new file mode 100644 index 0000000000..649a8e931d --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/conv/conv.go @@ -0,0 +1,140 @@ +package conv + +import ( + "encoding/binary" + "fmt" + "math/big" + "strings" +) + +// BytesLe2Hex returns an hexadecimal string of a number stored in a +// little-endian order slice x. +func BytesLe2Hex(x []byte) string { + b := &strings.Builder{} + b.Grow(2*len(x) + 2) + fmt.Fprint(b, "0x") + if len(x) == 0 { + fmt.Fprint(b, "00") + } + for i := len(x) - 1; i >= 0; i-- { + fmt.Fprintf(b, "%02x", x[i]) + } + return b.String() +} + +// BytesLe2BigInt converts a little-endian slice x into a big-endian +// math/big.Int. +func BytesLe2BigInt(x []byte) *big.Int { + n := len(x) + b := new(big.Int) + if len(x) > 0 { + y := make([]byte, n) + for i := 0; i < n; i++ { + y[n-1-i] = x[i] + } + b.SetBytes(y) + } + return b +} + +// BytesBe2Uint64Le converts a big-endian slice x to a little-endian slice of uint64. +func BytesBe2Uint64Le(x []byte) []uint64 { + l := len(x) + z := make([]uint64, (l+7)/8) + blocks := l / 8 + for i := 0; i < blocks; i++ { + z[i] = binary.BigEndian.Uint64(x[l-8*(i+1):]) + } + remBytes := l % 8 + for i := 0; i < remBytes; i++ { + z[blocks] |= uint64(x[l-1-8*blocks-i]) << uint(8*i) + } + return z +} + +// BigInt2BytesLe stores a positive big.Int number x into a little-endian slice z. +// The slice is modified if the bitlength of x <= 8*len(z) (padding with zeros). +// If x does not fit in the slice or is negative, z is not modified. +func BigInt2BytesLe(z []byte, x *big.Int) { + xLen := (x.BitLen() + 7) >> 3 + zLen := len(z) + if zLen >= xLen && x.Sign() >= 0 { + y := x.Bytes() + for i := 0; i < xLen; i++ { + z[i] = y[xLen-1-i] + } + for i := xLen; i < zLen; i++ { + z[i] = 0 + } + } +} + +// Uint64Le2BigInt converts a little-endian slice x into a big number. +func Uint64Le2BigInt(x []uint64) *big.Int { + n := len(x) + b := new(big.Int) + var bi big.Int + for i := n - 1; i >= 0; i-- { + bi.SetUint64(x[i]) + b.Lsh(b, 64) + b.Add(b, &bi) + } + return b +} + +// Uint64Le2BytesLe converts a little-endian slice x to a little-endian slice of bytes. +func Uint64Le2BytesLe(x []uint64) []byte { + b := make([]byte, 8*len(x)) + n := len(x) + for i := 0; i < n; i++ { + binary.LittleEndian.PutUint64(b[i*8:], x[i]) + } + return b +} + +// Uint64Le2BytesBe converts a little-endian slice x to a big-endian slice of bytes. +func Uint64Le2BytesBe(x []uint64) []byte { + b := make([]byte, 8*len(x)) + n := len(x) + for i := 0; i < n; i++ { + binary.BigEndian.PutUint64(b[i*8:], x[n-1-i]) + } + return b +} + +// Uint64Le2Hex returns an hexadecimal string of a number stored in a +// little-endian order slice x. +func Uint64Le2Hex(x []uint64) string { + b := new(strings.Builder) + b.Grow(16*len(x) + 2) + fmt.Fprint(b, "0x") + if len(x) == 0 { + fmt.Fprint(b, "00") + } + for i := len(x) - 1; i >= 0; i-- { + fmt.Fprintf(b, "%016x", x[i]) + } + return b.String() +} + +// BigInt2Uint64Le stores a positive big.Int number x into a little-endian slice z. +// The slice is modified if the bitlength of x <= 8*len(z) (padding with zeros). +// If x does not fit in the slice or is negative, z is not modified. +func BigInt2Uint64Le(z []uint64, x *big.Int) { + xLen := (x.BitLen() + 63) >> 6 // number of 64-bit words + zLen := len(z) + if zLen >= xLen && x.Sign() > 0 { + var y, yi big.Int + y.Set(x) + two64 := big.NewInt(1) + two64.Lsh(two64, 64).Sub(two64, big.NewInt(1)) + for i := 0; i < xLen; i++ { + yi.And(&y, two64) + z[i] = yi.Uint64() + y.Rsh(&y, 64) + } + } + for i := xLen; i < zLen; i++ { + z[i] = 0 + } +} diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/doc.go b/vendor/github.com/cloudflare/circl/internal/sha3/doc.go new file mode 100644 index 0000000000..c06a330ff9 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/doc.go @@ -0,0 +1,66 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package sha3 implements the SHA-3 fixed-output-length hash functions and +// the SHAKE variable-output-length hash functions defined by FIPS-202. +// +// Both types of hash function use the "sponge" construction and the Keccak +// permutation. For a detailed specification see http://keccak.noekeon.org/ +// +// +// Guidance +// +// If you aren't sure what function you need, use SHAKE256 with at least 64 +// bytes of output. The SHAKE instances are faster than the SHA3 instances; +// the latter have to allocate memory to conform to the hash.Hash interface. +// +// If you need a secret-key MAC (message authentication code), prepend the +// secret key to the input, hash with SHAKE256 and read at least 32 bytes of +// output. +// +// +// Security strengths +// +// The SHA3-x (x equals 224, 256, 384, or 512) functions have a security +// strength against preimage attacks of x bits. Since they only produce "x" +// bits of output, their collision-resistance is only "x/2" bits. +// +// The SHAKE-256 and -128 functions have a generic security strength of 256 and +// 128 bits against all attacks, provided that at least 2x bits of their output +// is used. Requesting more than 64 or 32 bytes of output, respectively, does +// not increase the collision-resistance of the SHAKE functions. +// +// +// The sponge construction +// +// A sponge builds a pseudo-random function from a public pseudo-random +// permutation, by applying the permutation to a state of "rate + capacity" +// bytes, but hiding "capacity" of the bytes. +// +// A sponge starts out with a zero state. To hash an input using a sponge, up +// to "rate" bytes of the input are XORed into the sponge's state. The sponge +// is then "full" and the permutation is applied to "empty" it. This process is +// repeated until all the input has been "absorbed". The input is then padded. +// The digest is "squeezed" from the sponge in the same way, except that output +// is copied out instead of input being XORed in. +// +// A sponge is parameterized by its generic security strength, which is equal +// to half its capacity; capacity + rate is equal to the permutation's width. +// Since the KeccakF-1600 permutation is 1600 bits (200 bytes) wide, this means +// that the security strength of a sponge instance is equal to (1600 - bitrate) / 2. +// +// +// Recommendations +// +// The SHAKE functions are recommended for most new uses. They can produce +// output of arbitrary length. SHAKE256, with an output length of at least +// 64 bytes, provides 256-bit security against all attacks. The Keccak team +// recommends it for most applications upgrading from SHA2-512. (NIST chose a +// much stronger, but much slower, sponge instance for SHA3-512.) +// +// The SHA-3 functions are "drop-in" replacements for the SHA-2 functions. +// They produce output of the same length, with the same security strengths +// against all attacks. This means, in particular, that SHA3-256 only has +// 128-bit collision resistance, because its output length is 32 bytes. +package sha3 diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/hashes.go b/vendor/github.com/cloudflare/circl/internal/sha3/hashes.go new file mode 100644 index 0000000000..7d2365a76e --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/hashes.go @@ -0,0 +1,69 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// This file provides functions for creating instances of the SHA-3 +// and SHAKE hash functions, as well as utility functions for hashing +// bytes. + +// New224 creates a new SHA3-224 hash. +// Its generic security strength is 224 bits against preimage attacks, +// and 112 bits against collision attacks. +func New224() State { + return State{rate: 144, outputLen: 28, dsbyte: 0x06} +} + +// New256 creates a new SHA3-256 hash. +// Its generic security strength is 256 bits against preimage attacks, +// and 128 bits against collision attacks. +func New256() State { + return State{rate: 136, outputLen: 32, dsbyte: 0x06} +} + +// New384 creates a new SHA3-384 hash. +// Its generic security strength is 384 bits against preimage attacks, +// and 192 bits against collision attacks. +func New384() State { + return State{rate: 104, outputLen: 48, dsbyte: 0x06} +} + +// New512 creates a new SHA3-512 hash. +// Its generic security strength is 512 bits against preimage attacks, +// and 256 bits against collision attacks. +func New512() State { + return State{rate: 72, outputLen: 64, dsbyte: 0x06} +} + +// Sum224 returns the SHA3-224 digest of the data. +func Sum224(data []byte) (digest [28]byte) { + h := New224() + _, _ = h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum256 returns the SHA3-256 digest of the data. +func Sum256(data []byte) (digest [32]byte) { + h := New256() + _, _ = h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum384 returns the SHA3-384 digest of the data. +func Sum384(data []byte) (digest [48]byte) { + h := New384() + _, _ = h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum512 returns the SHA3-512 digest of the data. +func Sum512(data []byte) (digest [64]byte) { + h := New512() + _, _ = h.Write(data) + h.Sum(digest[:0]) + return +} diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/keccakf.go b/vendor/github.com/cloudflare/circl/internal/sha3/keccakf.go new file mode 100644 index 0000000000..e606f0caae --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/keccakf.go @@ -0,0 +1,385 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build !amd64 || appengine || gccgo +// +build !amd64 appengine gccgo + +package sha3 + +// KeccakF1600 applies the Keccak permutation to a 1600b-wide +// state represented as a slice of 25 uint64s. +func KeccakF1600(a *[25]uint64) { + // Implementation translated from Keccak-inplace.c + // in the keccak reference code. + var t, bc0, bc1, bc2, bc3, bc4, d0, d1, d2, d3, d4 uint64 + + for i := 0; i < 24; i += 4 { + // Combines the 5 steps in each round into 2 steps. + // Unrolls 4 rounds per loop and spreads some steps across rounds. + + // Round 1 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[6] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[12] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[18] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[24] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i] + a[6] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[16] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[22] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[3] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[10] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[1] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[7] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[19] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[20] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[11] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[23] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[4] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[5] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[2] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[8] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[14] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[15] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + // Round 2 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[16] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[7] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[23] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[14] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i+1] + a[16] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[11] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[2] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[18] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[20] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[6] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[22] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[4] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[15] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[1] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[8] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[24] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[10] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[12] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[3] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[19] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[5] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + // Round 3 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[11] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[22] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[8] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[19] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i+2] + a[11] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[1] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[12] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[23] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[15] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[16] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[2] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[24] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[5] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[6] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[3] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[14] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[20] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[7] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[18] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[4] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[10] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + // Round 4 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[1] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[2] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[3] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[4] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i+3] + a[1] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[6] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[7] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[8] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[5] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[11] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[12] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[14] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[10] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[16] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[18] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[19] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[15] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[22] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[23] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[24] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[20] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + } +} diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/keccakf_amd64.go b/vendor/github.com/cloudflare/circl/internal/sha3/keccakf_amd64.go new file mode 100644 index 0000000000..e7364eb093 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/keccakf_amd64.go @@ -0,0 +1,14 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build amd64 && !appengine && !gccgo +// +build amd64,!appengine,!gccgo + +package sha3 + +// This function is implemented in keccakf_amd64.s. + +//go:noescape + +func KeccakF1600(state *[25]uint64) diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/keccakf_amd64.s b/vendor/github.com/cloudflare/circl/internal/sha3/keccakf_amd64.s new file mode 100644 index 0000000000..8589363a43 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/keccakf_amd64.s @@ -0,0 +1,390 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build amd64,!appengine,!gccgo + +// This code was translated into a form compatible with 6a from the public +// domain sources at https://github.com/gvanas/KeccakCodePackage + +// Offsets in state +#define _ba (0*8) +#define _be (1*8) +#define _bi (2*8) +#define _bo (3*8) +#define _bu (4*8) +#define _ga (5*8) +#define _ge (6*8) +#define _gi (7*8) +#define _go (8*8) +#define _gu (9*8) +#define _ka (10*8) +#define _ke (11*8) +#define _ki (12*8) +#define _ko (13*8) +#define _ku (14*8) +#define _ma (15*8) +#define _me (16*8) +#define _mi (17*8) +#define _mo (18*8) +#define _mu (19*8) +#define _sa (20*8) +#define _se (21*8) +#define _si (22*8) +#define _so (23*8) +#define _su (24*8) + +// Temporary registers +#define rT1 AX + +// Round vars +#define rpState DI +#define rpStack SP + +#define rDa BX +#define rDe CX +#define rDi DX +#define rDo R8 +#define rDu R9 + +#define rBa R10 +#define rBe R11 +#define rBi R12 +#define rBo R13 +#define rBu R14 + +#define rCa SI +#define rCe BP +#define rCi rBi +#define rCo rBo +#define rCu R15 + +#define MOVQ_RBI_RCE MOVQ rBi, rCe +#define XORQ_RT1_RCA XORQ rT1, rCa +#define XORQ_RT1_RCE XORQ rT1, rCe +#define XORQ_RBA_RCU XORQ rBa, rCu +#define XORQ_RBE_RCU XORQ rBe, rCu +#define XORQ_RDU_RCU XORQ rDu, rCu +#define XORQ_RDA_RCA XORQ rDa, rCa +#define XORQ_RDE_RCE XORQ rDe, rCe + +#define mKeccakRound(iState, oState, rc, B_RBI_RCE, G_RT1_RCA, G_RT1_RCE, G_RBA_RCU, K_RT1_RCA, K_RT1_RCE, K_RBA_RCU, M_RT1_RCA, M_RT1_RCE, M_RBE_RCU, S_RDU_RCU, S_RDA_RCA, S_RDE_RCE) \ + /* Prepare round */ \ + MOVQ rCe, rDa; \ + ROLQ $1, rDa; \ + \ + MOVQ _bi(iState), rCi; \ + XORQ _gi(iState), rDi; \ + XORQ rCu, rDa; \ + XORQ _ki(iState), rCi; \ + XORQ _mi(iState), rDi; \ + XORQ rDi, rCi; \ + \ + MOVQ rCi, rDe; \ + ROLQ $1, rDe; \ + \ + MOVQ _bo(iState), rCo; \ + XORQ _go(iState), rDo; \ + XORQ rCa, rDe; \ + XORQ _ko(iState), rCo; \ + XORQ _mo(iState), rDo; \ + XORQ rDo, rCo; \ + \ + MOVQ rCo, rDi; \ + ROLQ $1, rDi; \ + \ + MOVQ rCu, rDo; \ + XORQ rCe, rDi; \ + ROLQ $1, rDo; \ + \ + MOVQ rCa, rDu; \ + XORQ rCi, rDo; \ + ROLQ $1, rDu; \ + \ + /* Result b */ \ + MOVQ _ba(iState), rBa; \ + MOVQ _ge(iState), rBe; \ + XORQ rCo, rDu; \ + MOVQ _ki(iState), rBi; \ + MOVQ _mo(iState), rBo; \ + MOVQ _su(iState), rBu; \ + XORQ rDe, rBe; \ + ROLQ $44, rBe; \ + XORQ rDi, rBi; \ + XORQ rDa, rBa; \ + ROLQ $43, rBi; \ + \ + MOVQ rBe, rCa; \ + MOVQ rc, rT1; \ + ORQ rBi, rCa; \ + XORQ rBa, rT1; \ + XORQ rT1, rCa; \ + MOVQ rCa, _ba(oState); \ + \ + XORQ rDu, rBu; \ + ROLQ $14, rBu; \ + MOVQ rBa, rCu; \ + ANDQ rBe, rCu; \ + XORQ rBu, rCu; \ + MOVQ rCu, _bu(oState); \ + \ + XORQ rDo, rBo; \ + ROLQ $21, rBo; \ + MOVQ rBo, rT1; \ + ANDQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _bi(oState); \ + \ + NOTQ rBi; \ + ORQ rBa, rBu; \ + ORQ rBo, rBi; \ + XORQ rBo, rBu; \ + XORQ rBe, rBi; \ + MOVQ rBu, _bo(oState); \ + MOVQ rBi, _be(oState); \ + B_RBI_RCE; \ + \ + /* Result g */ \ + MOVQ _gu(iState), rBe; \ + XORQ rDu, rBe; \ + MOVQ _ka(iState), rBi; \ + ROLQ $20, rBe; \ + XORQ rDa, rBi; \ + ROLQ $3, rBi; \ + MOVQ _bo(iState), rBa; \ + MOVQ rBe, rT1; \ + ORQ rBi, rT1; \ + XORQ rDo, rBa; \ + MOVQ _me(iState), rBo; \ + MOVQ _si(iState), rBu; \ + ROLQ $28, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ga(oState); \ + G_RT1_RCA; \ + \ + XORQ rDe, rBo; \ + ROLQ $45, rBo; \ + MOVQ rBi, rT1; \ + ANDQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _ge(oState); \ + G_RT1_RCE; \ + \ + XORQ rDi, rBu; \ + ROLQ $61, rBu; \ + MOVQ rBu, rT1; \ + ORQ rBa, rT1; \ + XORQ rBo, rT1; \ + MOVQ rT1, _go(oState); \ + \ + ANDQ rBe, rBa; \ + XORQ rBu, rBa; \ + MOVQ rBa, _gu(oState); \ + NOTQ rBu; \ + G_RBA_RCU; \ + \ + ORQ rBu, rBo; \ + XORQ rBi, rBo; \ + MOVQ rBo, _gi(oState); \ + \ + /* Result k */ \ + MOVQ _be(iState), rBa; \ + MOVQ _gi(iState), rBe; \ + MOVQ _ko(iState), rBi; \ + MOVQ _mu(iState), rBo; \ + MOVQ _sa(iState), rBu; \ + XORQ rDi, rBe; \ + ROLQ $6, rBe; \ + XORQ rDo, rBi; \ + ROLQ $25, rBi; \ + MOVQ rBe, rT1; \ + ORQ rBi, rT1; \ + XORQ rDe, rBa; \ + ROLQ $1, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ka(oState); \ + K_RT1_RCA; \ + \ + XORQ rDu, rBo; \ + ROLQ $8, rBo; \ + MOVQ rBi, rT1; \ + ANDQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _ke(oState); \ + K_RT1_RCE; \ + \ + XORQ rDa, rBu; \ + ROLQ $18, rBu; \ + NOTQ rBo; \ + MOVQ rBo, rT1; \ + ANDQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _ki(oState); \ + \ + MOVQ rBu, rT1; \ + ORQ rBa, rT1; \ + XORQ rBo, rT1; \ + MOVQ rT1, _ko(oState); \ + \ + ANDQ rBe, rBa; \ + XORQ rBu, rBa; \ + MOVQ rBa, _ku(oState); \ + K_RBA_RCU; \ + \ + /* Result m */ \ + MOVQ _ga(iState), rBe; \ + XORQ rDa, rBe; \ + MOVQ _ke(iState), rBi; \ + ROLQ $36, rBe; \ + XORQ rDe, rBi; \ + MOVQ _bu(iState), rBa; \ + ROLQ $10, rBi; \ + MOVQ rBe, rT1; \ + MOVQ _mi(iState), rBo; \ + ANDQ rBi, rT1; \ + XORQ rDu, rBa; \ + MOVQ _so(iState), rBu; \ + ROLQ $27, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ma(oState); \ + M_RT1_RCA; \ + \ + XORQ rDi, rBo; \ + ROLQ $15, rBo; \ + MOVQ rBi, rT1; \ + ORQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _me(oState); \ + M_RT1_RCE; \ + \ + XORQ rDo, rBu; \ + ROLQ $56, rBu; \ + NOTQ rBo; \ + MOVQ rBo, rT1; \ + ORQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _mi(oState); \ + \ + ORQ rBa, rBe; \ + XORQ rBu, rBe; \ + MOVQ rBe, _mu(oState); \ + \ + ANDQ rBa, rBu; \ + XORQ rBo, rBu; \ + MOVQ rBu, _mo(oState); \ + M_RBE_RCU; \ + \ + /* Result s */ \ + MOVQ _bi(iState), rBa; \ + MOVQ _go(iState), rBe; \ + MOVQ _ku(iState), rBi; \ + XORQ rDi, rBa; \ + MOVQ _ma(iState), rBo; \ + ROLQ $62, rBa; \ + XORQ rDo, rBe; \ + MOVQ _se(iState), rBu; \ + ROLQ $55, rBe; \ + \ + XORQ rDu, rBi; \ + MOVQ rBa, rDu; \ + XORQ rDe, rBu; \ + ROLQ $2, rBu; \ + ANDQ rBe, rDu; \ + XORQ rBu, rDu; \ + MOVQ rDu, _su(oState); \ + \ + ROLQ $39, rBi; \ + S_RDU_RCU; \ + NOTQ rBe; \ + XORQ rDa, rBo; \ + MOVQ rBe, rDa; \ + ANDQ rBi, rDa; \ + XORQ rBa, rDa; \ + MOVQ rDa, _sa(oState); \ + S_RDA_RCA; \ + \ + ROLQ $41, rBo; \ + MOVQ rBi, rDe; \ + ORQ rBo, rDe; \ + XORQ rBe, rDe; \ + MOVQ rDe, _se(oState); \ + S_RDE_RCE; \ + \ + MOVQ rBo, rDi; \ + MOVQ rBu, rDo; \ + ANDQ rBu, rDi; \ + ORQ rBa, rDo; \ + XORQ rBi, rDi; \ + XORQ rBo, rDo; \ + MOVQ rDi, _si(oState); \ + MOVQ rDo, _so(oState) \ + +// func KeccakF1600(state *[25]uint64) +TEXT ·KeccakF1600(SB), 0, $200-8 + MOVQ state+0(FP), rpState + + // Convert the user state into an internal state + NOTQ _be(rpState) + NOTQ _bi(rpState) + NOTQ _go(rpState) + NOTQ _ki(rpState) + NOTQ _mi(rpState) + NOTQ _sa(rpState) + + // Execute the KeccakF permutation + MOVQ _ba(rpState), rCa + MOVQ _be(rpState), rCe + MOVQ _bu(rpState), rCu + + XORQ _ga(rpState), rCa + XORQ _ge(rpState), rCe + XORQ _gu(rpState), rCu + + XORQ _ka(rpState), rCa + XORQ _ke(rpState), rCe + XORQ _ku(rpState), rCu + + XORQ _ma(rpState), rCa + XORQ _me(rpState), rCe + XORQ _mu(rpState), rCu + + XORQ _sa(rpState), rCa + XORQ _se(rpState), rCe + MOVQ _si(rpState), rDi + MOVQ _so(rpState), rDo + XORQ _su(rpState), rCu + + mKeccakRound(rpState, rpStack, $0x0000000000000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000000008082, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x800000000000808a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000080008000, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000808b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000080000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000080008081, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008009, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000008a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000000000088, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x0000000080008009, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x000000008000000a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000008000808b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x800000000000008b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000000008089, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008003, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000000008002, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000000080, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000800a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x800000008000000a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000080008081, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008080, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x0000000080000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000080008008, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP) + + // Revert the internal state to the user state + NOTQ _be(rpState) + NOTQ _bi(rpState) + NOTQ _go(rpState) + NOTQ _ki(rpState) + NOTQ _mi(rpState) + NOTQ _sa(rpState) + + RET diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/rc.go b/vendor/github.com/cloudflare/circl/internal/sha3/rc.go new file mode 100644 index 0000000000..6a3df42f30 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/rc.go @@ -0,0 +1,29 @@ +package sha3 + +// RC stores the round constants for use in the ι step. +var RC = [24]uint64{ + 0x0000000000000001, + 0x0000000000008082, + 0x800000000000808A, + 0x8000000080008000, + 0x000000000000808B, + 0x0000000080000001, + 0x8000000080008081, + 0x8000000000008009, + 0x000000000000008A, + 0x0000000000000088, + 0x0000000080008009, + 0x000000008000000A, + 0x000000008000808B, + 0x800000000000008B, + 0x8000000000008089, + 0x8000000000008003, + 0x8000000000008002, + 0x8000000000000080, + 0x000000000000800A, + 0x800000008000000A, + 0x8000000080008081, + 0x8000000000008080, + 0x0000000080000001, + 0x8000000080008008, +} diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/sha3.go b/vendor/github.com/cloudflare/circl/internal/sha3/sha3.go new file mode 100644 index 0000000000..b35cd006b0 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/sha3.go @@ -0,0 +1,195 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// spongeDirection indicates the direction bytes are flowing through the sponge. +type spongeDirection int + +const ( + // spongeAbsorbing indicates that the sponge is absorbing input. + spongeAbsorbing spongeDirection = iota + // spongeSqueezing indicates that the sponge is being squeezed. + spongeSqueezing +) + +const ( + // maxRate is the maximum size of the internal buffer. SHAKE-256 + // currently needs the largest buffer. + maxRate = 168 +) + +func (d *State) buf() []byte { + return d.storage.asBytes()[d.bufo:d.bufe] +} + +type State struct { + // Generic sponge components. + a [25]uint64 // main state of the hash + rate int // the number of bytes of state to use + + bufo int // offset of buffer in storage + bufe int // end of buffer in storage + + // dsbyte contains the "domain separation" bits and the first bit of + // the padding. Sections 6.1 and 6.2 of [1] separate the outputs of the + // SHA-3 and SHAKE functions by appending bitstrings to the message. + // Using a little-endian bit-ordering convention, these are "01" for SHA-3 + // and "1111" for SHAKE, or 00000010b and 00001111b, respectively. Then the + // padding rule from section 5.1 is applied to pad the message to a multiple + // of the rate, which involves adding a "1" bit, zero or more "0" bits, and + // a final "1" bit. We merge the first "1" bit from the padding into dsbyte, + // giving 00000110b (0x06) and 00011111b (0x1f). + // [1] http://csrc.nist.gov/publications/drafts/fips-202/fips_202_draft.pdf + // "Draft FIPS 202: SHA-3 Standard: Permutation-Based Hash and + // Extendable-Output Functions (May 2014)" + dsbyte byte + + storage storageBuf + + // Specific to SHA-3 and SHAKE. + outputLen int // the default output size in bytes + state spongeDirection // whether the sponge is absorbing or squeezing +} + +// BlockSize returns the rate of sponge underlying this hash function. +func (d *State) BlockSize() int { return d.rate } + +// Size returns the output size of the hash function in bytes. +func (d *State) Size() int { return d.outputLen } + +// Reset clears the internal state by zeroing the sponge state and +// the byte buffer, and setting Sponge.state to absorbing. +func (d *State) Reset() { + // Zero the permutation's state. + for i := range d.a { + d.a[i] = 0 + } + d.state = spongeAbsorbing + d.bufo = 0 + d.bufe = 0 +} + +func (d *State) clone() *State { + ret := *d + return &ret +} + +// permute applies the KeccakF-1600 permutation. It handles +// any input-output buffering. +func (d *State) permute() { + switch d.state { + case spongeAbsorbing: + // If we're absorbing, we need to xor the input into the state + // before applying the permutation. + xorIn(d, d.buf()) + d.bufe = 0 + d.bufo = 0 + KeccakF1600(&d.a) + case spongeSqueezing: + // If we're squeezing, we need to apply the permutation before + // copying more output. + KeccakF1600(&d.a) + d.bufe = d.rate + d.bufo = 0 + copyOut(d, d.buf()) + } +} + +// pads appends the domain separation bits in dsbyte, applies +// the multi-bitrate 10..1 padding rule, and permutes the state. +func (d *State) padAndPermute(dsbyte byte) { + // Pad with this instance's domain-separator bits. We know that there's + // at least one byte of space in d.buf() because, if it were full, + // permute would have been called to empty it. dsbyte also contains the + // first one bit for the padding. See the comment in the state struct. + zerosStart := d.bufe + 1 + d.bufe = d.rate + buf := d.buf() + buf[zerosStart-1] = dsbyte + for i := zerosStart; i < d.rate; i++ { + buf[i] = 0 + } + // This adds the final one bit for the padding. Because of the way that + // bits are numbered from the LSB upwards, the final bit is the MSB of + // the last byte. + buf[d.rate-1] ^= 0x80 + // Apply the permutation + d.permute() + d.state = spongeSqueezing + d.bufe = d.rate + copyOut(d, buf) +} + +// Write absorbs more data into the hash's state. It produces an error +// if more data is written to the ShakeHash after writing +func (d *State) Write(p []byte) (written int, err error) { + if d.state != spongeAbsorbing { + panic("sha3: write to sponge after read") + } + written = len(p) + + for len(p) > 0 { + bufl := d.bufe - d.bufo + if bufl == 0 && len(p) >= d.rate { + // The fast path; absorb a full "rate" bytes of input and apply the permutation. + xorIn(d, p[:d.rate]) + p = p[d.rate:] + KeccakF1600(&d.a) + } else { + // The slow path; buffer the input until we can fill the sponge, and then xor it in. + todo := d.rate - bufl + if todo > len(p) { + todo = len(p) + } + d.bufe += todo + buf := d.buf() + copy(buf[bufl:], p[:todo]) + p = p[todo:] + + // If the sponge is full, apply the permutation. + if d.bufe == d.rate { + d.permute() + } + } + } + + return written, nil +} + +// Read squeezes an arbitrary number of bytes from the sponge. +func (d *State) Read(out []byte) (n int, err error) { + // If we're still absorbing, pad and apply the permutation. + if d.state == spongeAbsorbing { + d.padAndPermute(d.dsbyte) + } + + n = len(out) + + // Now, do the squeezing. + for len(out) > 0 { + buf := d.buf() + n := copy(out, buf) + d.bufo += n + out = out[n:] + + // Apply the permutation if we've squeezed the sponge dry. + if d.bufo == d.bufe { + d.permute() + } + } + + return +} + +// Sum applies padding to the hash state and then squeezes out the desired +// number of output bytes. +func (d *State) Sum(in []byte) []byte { + // Make a copy of the original hash so that caller can keep writing + // and summing. + dup := d.clone() + hash := make([]byte, dup.outputLen) + _, _ = dup.Read(hash) + return append(in, hash...) +} diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/sha3_s390x.s b/vendor/github.com/cloudflare/circl/internal/sha3/sha3_s390x.s new file mode 100644 index 0000000000..8a4458f63f --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/sha3_s390x.s @@ -0,0 +1,33 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build !gccgo,!appengine + +#include "textflag.h" + +// func kimd(function code, chain *[200]byte, src []byte) +TEXT ·kimd(SB), NOFRAME|NOSPLIT, $0-40 + MOVD function+0(FP), R0 + MOVD chain+8(FP), R1 + LMG src+16(FP), R2, R3 // R2=base, R3=len + +continue: + WORD $0xB93E0002 // KIMD --, R2 + BVS continue // continue if interrupted + MOVD $0, R0 // reset R0 for pre-go1.8 compilers + RET + +// func klmd(function code, chain *[200]byte, dst, src []byte) +TEXT ·klmd(SB), NOFRAME|NOSPLIT, $0-64 + // TODO: SHAKE support + MOVD function+0(FP), R0 + MOVD chain+8(FP), R1 + LMG dst+16(FP), R2, R3 // R2=base, R3=len + LMG src+40(FP), R4, R5 // R4=base, R5=len + +continue: + WORD $0xB93F0024 // KLMD R2, R4 + BVS continue // continue if interrupted + MOVD $0, R0 // reset R0 for pre-go1.8 compilers + RET diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/shake.go b/vendor/github.com/cloudflare/circl/internal/sha3/shake.go new file mode 100644 index 0000000000..b92c5b7d78 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/shake.go @@ -0,0 +1,79 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// This file defines the ShakeHash interface, and provides +// functions for creating SHAKE and cSHAKE instances, as well as utility +// functions for hashing bytes to arbitrary-length output. +// +// +// SHAKE implementation is based on FIPS PUB 202 [1] +// cSHAKE implementations is based on NIST SP 800-185 [2] +// +// [1] https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf +// [2] https://doi.org/10.6028/NIST.SP.800-185 + +import ( + "io" +) + +// ShakeHash defines the interface to hash functions that +// support arbitrary-length output. +type ShakeHash interface { + // Write absorbs more data into the hash's state. It panics if input is + // written to it after output has been read from it. + io.Writer + + // Read reads more output from the hash; reading affects the hash's + // state. (ShakeHash.Read is thus very different from Hash.Sum) + // It never returns an error. + io.Reader + + // Clone returns a copy of the ShakeHash in its current state. + Clone() ShakeHash + + // Reset resets the ShakeHash to its initial state. + Reset() +} + +// Consts for configuring initial SHA-3 state +const ( + dsbyteShake = 0x1f + rate128 = 168 + rate256 = 136 +) + +// Clone returns copy of SHAKE context within its current state. +func (d *State) Clone() ShakeHash { + return d.clone() +} + +// NewShake128 creates a new SHAKE128 variable-output-length ShakeHash. +// Its generic security strength is 128 bits against all attacks if at +// least 32 bytes of its output are used. +func NewShake128() State { + return State{rate: rate128, dsbyte: dsbyteShake} +} + +// NewShake256 creates a new SHAKE256 variable-output-length ShakeHash. +// Its generic security strength is 256 bits against all attacks if +// at least 64 bytes of its output are used. +func NewShake256() State { + return State{rate: rate256, dsbyte: dsbyteShake} +} + +// ShakeSum128 writes an arbitrary-length digest of data into hash. +func ShakeSum128(hash, data []byte) { + h := NewShake128() + _, _ = h.Write(data) + _, _ = h.Read(hash) +} + +// ShakeSum256 writes an arbitrary-length digest of data into hash. +func ShakeSum256(hash, data []byte) { + h := NewShake256() + _, _ = h.Write(data) + _, _ = h.Read(hash) +} diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/xor.go b/vendor/github.com/cloudflare/circl/internal/sha3/xor.go new file mode 100644 index 0000000000..1e21337454 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/xor.go @@ -0,0 +1,15 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build (!amd64 && !386 && !ppc64le) || appengine +// +build !amd64,!386,!ppc64le appengine + +package sha3 + +// A storageBuf is an aligned array of maxRate bytes. +type storageBuf [maxRate]byte + +func (b *storageBuf) asBytes() *[maxRate]byte { + return (*[maxRate]byte)(b) +} diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/xor_generic.go b/vendor/github.com/cloudflare/circl/internal/sha3/xor_generic.go new file mode 100644 index 0000000000..2b0c661790 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/xor_generic.go @@ -0,0 +1,33 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build (!amd64 || appengine) && (!386 || appengine) && (!ppc64le || appengine) +// +build !amd64 appengine +// +build !386 appengine +// +build !ppc64le appengine + +package sha3 + +import "encoding/binary" + +// xorIn xors the bytes in buf into the state; it +// makes no non-portable assumptions about memory layout +// or alignment. +func xorIn(d *State, buf []byte) { + n := len(buf) / 8 + + for i := 0; i < n; i++ { + a := binary.LittleEndian.Uint64(buf) + d.a[i] ^= a + buf = buf[8:] + } +} + +// copyOut copies ulint64s to a byte buffer. +func copyOut(d *State, b []byte) { + for i := 0; len(b) >= 8; i++ { + binary.LittleEndian.PutUint64(b, d.a[i]) + b = b[8:] + } +} diff --git a/vendor/github.com/cloudflare/circl/internal/sha3/xor_unaligned.go b/vendor/github.com/cloudflare/circl/internal/sha3/xor_unaligned.go new file mode 100644 index 0000000000..052fc8d32d --- /dev/null +++ b/vendor/github.com/cloudflare/circl/internal/sha3/xor_unaligned.go @@ -0,0 +1,61 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build (amd64 || 386 || ppc64le) && !appengine +// +build amd64 386 ppc64le +// +build !appengine + +package sha3 + +import "unsafe" + +// A storageBuf is an aligned array of maxRate bytes. +type storageBuf [maxRate / 8]uint64 + +func (b *storageBuf) asBytes() *[maxRate]byte { + return (*[maxRate]byte)(unsafe.Pointer(b)) +} + +// xorInuses unaligned reads and writes to update d.a to contain d.a +// XOR buf. +func xorIn(d *State, buf []byte) { + n := len(buf) + bw := (*[maxRate / 8]uint64)(unsafe.Pointer(&buf[0]))[: n/8 : n/8] + if n >= 72 { + d.a[0] ^= bw[0] + d.a[1] ^= bw[1] + d.a[2] ^= bw[2] + d.a[3] ^= bw[3] + d.a[4] ^= bw[4] + d.a[5] ^= bw[5] + d.a[6] ^= bw[6] + d.a[7] ^= bw[7] + d.a[8] ^= bw[8] + } + if n >= 104 { + d.a[9] ^= bw[9] + d.a[10] ^= bw[10] + d.a[11] ^= bw[11] + d.a[12] ^= bw[12] + } + if n >= 136 { + d.a[13] ^= bw[13] + d.a[14] ^= bw[14] + d.a[15] ^= bw[15] + d.a[16] ^= bw[16] + } + if n >= 144 { + d.a[17] ^= bw[17] + } + if n >= 168 { + d.a[18] ^= bw[18] + d.a[19] ^= bw[19] + d.a[20] ^= bw[20] + } +} + +func copyOut(d *State, buf []byte) { + ab := (*[maxRate]uint8)(unsafe.Pointer(&d.a[0])) + copy(buf, ab[:]) +} diff --git a/vendor/github.com/cloudflare/circl/math/fp25519/fp.go b/vendor/github.com/cloudflare/circl/math/fp25519/fp.go new file mode 100644 index 0000000000..57a50ff5e9 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp25519/fp.go @@ -0,0 +1,205 @@ +// Package fp25519 provides prime field arithmetic over GF(2^255-19). +package fp25519 + +import ( + "errors" + + "github.com/cloudflare/circl/internal/conv" +) + +// Size in bytes of an element. +const Size = 32 + +// Elt is a prime field element. +type Elt [Size]byte + +func (e Elt) String() string { return conv.BytesLe2Hex(e[:]) } + +// p is the prime modulus 2^255-19. +var p = Elt{ + 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, +} + +// P returns the prime modulus 2^255-19. +func P() Elt { return p } + +// ToBytes stores in b the little-endian byte representation of x. +func ToBytes(b []byte, x *Elt) error { + if len(b) != Size { + return errors.New("wrong size") + } + Modp(x) + copy(b, x[:]) + return nil +} + +// IsZero returns true if x is equal to 0. +func IsZero(x *Elt) bool { Modp(x); return *x == Elt{} } + +// SetOne assigns x=1. +func SetOne(x *Elt) { *x = Elt{}; x[0] = 1 } + +// Neg calculates z = -x. +func Neg(z, x *Elt) { Sub(z, &p, x) } + +// InvSqrt calculates z = sqrt(x/y) iff x/y is a quadratic-residue, which is +// indicated by returning isQR = true. Otherwise, when x/y is a quadratic +// non-residue, z will have an undetermined value and isQR = false. +func InvSqrt(z, x, y *Elt) (isQR bool) { + sqrtMinusOne := &Elt{ + 0xb0, 0xa0, 0x0e, 0x4a, 0x27, 0x1b, 0xee, 0xc4, + 0x78, 0xe4, 0x2f, 0xad, 0x06, 0x18, 0x43, 0x2f, + 0xa7, 0xd7, 0xfb, 0x3d, 0x99, 0x00, 0x4d, 0x2b, + 0x0b, 0xdf, 0xc1, 0x4f, 0x80, 0x24, 0x83, 0x2b, + } + t0, t1, t2, t3 := &Elt{}, &Elt{}, &Elt{}, &Elt{} + + Mul(t0, x, y) // t0 = u*v + Sqr(t1, y) // t1 = v^2 + Mul(t2, t0, t1) // t2 = u*v^3 + Sqr(t0, t1) // t0 = v^4 + Mul(t1, t0, t2) // t1 = u*v^7 + + var Tab [4]*Elt + Tab[0] = &Elt{} + Tab[1] = &Elt{} + Tab[2] = t3 + Tab[3] = t1 + + *Tab[0] = *t1 + Sqr(Tab[0], Tab[0]) + Sqr(Tab[1], Tab[0]) + Sqr(Tab[1], Tab[1]) + Mul(Tab[1], Tab[1], Tab[3]) + Mul(Tab[0], Tab[0], Tab[1]) + Sqr(Tab[0], Tab[0]) + Mul(Tab[0], Tab[0], Tab[1]) + Sqr(Tab[1], Tab[0]) + for i := 0; i < 4; i++ { + Sqr(Tab[1], Tab[1]) + } + Mul(Tab[1], Tab[1], Tab[0]) + Sqr(Tab[2], Tab[1]) + for i := 0; i < 4; i++ { + Sqr(Tab[2], Tab[2]) + } + Mul(Tab[2], Tab[2], Tab[0]) + Sqr(Tab[1], Tab[2]) + for i := 0; i < 14; i++ { + Sqr(Tab[1], Tab[1]) + } + Mul(Tab[1], Tab[1], Tab[2]) + Sqr(Tab[2], Tab[1]) + for i := 0; i < 29; i++ { + Sqr(Tab[2], Tab[2]) + } + Mul(Tab[2], Tab[2], Tab[1]) + Sqr(Tab[1], Tab[2]) + for i := 0; i < 59; i++ { + Sqr(Tab[1], Tab[1]) + } + Mul(Tab[1], Tab[1], Tab[2]) + for i := 0; i < 5; i++ { + Sqr(Tab[1], Tab[1]) + } + Mul(Tab[1], Tab[1], Tab[0]) + Sqr(Tab[2], Tab[1]) + for i := 0; i < 124; i++ { + Sqr(Tab[2], Tab[2]) + } + Mul(Tab[2], Tab[2], Tab[1]) + Sqr(Tab[2], Tab[2]) + Sqr(Tab[2], Tab[2]) + Mul(Tab[2], Tab[2], Tab[3]) + + Mul(z, t3, t2) // z = xy^(p+3)/8 = xy^3*(xy^7)^(p-5)/8 + // Checking whether y z^2 == x + Sqr(t0, z) // t0 = z^2 + Mul(t0, t0, y) // t0 = yz^2 + Sub(t1, t0, x) // t1 = t0-u + Add(t2, t0, x) // t2 = t0+u + if IsZero(t1) { + return true + } else if IsZero(t2) { + Mul(z, z, sqrtMinusOne) // z = z*sqrt(-1) + return true + } else { + return false + } +} + +// Inv calculates z = 1/x mod p. +func Inv(z, x *Elt) { + x0, x1, x2 := &Elt{}, &Elt{}, &Elt{} + Sqr(x1, x) + Sqr(x0, x1) + Sqr(x0, x0) + Mul(x0, x0, x) + Mul(z, x0, x1) + Sqr(x1, z) + Mul(x0, x0, x1) + Sqr(x1, x0) + for i := 0; i < 4; i++ { + Sqr(x1, x1) + } + Mul(x0, x0, x1) + Sqr(x1, x0) + for i := 0; i < 9; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, x0) + Sqr(x2, x1) + for i := 0; i < 19; i++ { + Sqr(x2, x2) + } + Mul(x2, x2, x1) + for i := 0; i < 10; i++ { + Sqr(x2, x2) + } + Mul(x2, x2, x0) + Sqr(x0, x2) + for i := 0; i < 49; i++ { + Sqr(x0, x0) + } + Mul(x0, x0, x2) + Sqr(x1, x0) + for i := 0; i < 99; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, x0) + for i := 0; i < 50; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, x2) + for i := 0; i < 5; i++ { + Sqr(x1, x1) + } + Mul(z, z, x1) +} + +// Cmov assigns y to x if n is 1. +func Cmov(x, y *Elt, n uint) { cmov(x, y, n) } + +// Cswap interchanges x and y if n is 1. +func Cswap(x, y *Elt, n uint) { cswap(x, y, n) } + +// Add calculates z = x+y mod p. +func Add(z, x, y *Elt) { add(z, x, y) } + +// Sub calculates z = x-y mod p. +func Sub(z, x, y *Elt) { sub(z, x, y) } + +// AddSub calculates (x,y) = (x+y mod p, x-y mod p). +func AddSub(x, y *Elt) { addsub(x, y) } + +// Mul calculates z = x*y mod p. +func Mul(z, x, y *Elt) { mul(z, x, y) } + +// Sqr calculates z = x^2 mod p. +func Sqr(z, x *Elt) { sqr(z, x) } + +// Modp ensures that z is between [0,p-1]. +func Modp(z *Elt) { modp(z) } diff --git a/vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.go b/vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.go new file mode 100644 index 0000000000..057f0d2803 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.go @@ -0,0 +1,45 @@ +//go:build amd64 && !purego +// +build amd64,!purego + +package fp25519 + +import ( + "golang.org/x/sys/cpu" +) + +var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX + +var _ = hasBmi2Adx + +func cmov(x, y *Elt, n uint) { cmovAmd64(x, y, n) } +func cswap(x, y *Elt, n uint) { cswapAmd64(x, y, n) } +func add(z, x, y *Elt) { addAmd64(z, x, y) } +func sub(z, x, y *Elt) { subAmd64(z, x, y) } +func addsub(x, y *Elt) { addsubAmd64(x, y) } +func mul(z, x, y *Elt) { mulAmd64(z, x, y) } +func sqr(z, x *Elt) { sqrAmd64(z, x) } +func modp(z *Elt) { modpAmd64(z) } + +//go:noescape +func cmovAmd64(x, y *Elt, n uint) + +//go:noescape +func cswapAmd64(x, y *Elt, n uint) + +//go:noescape +func addAmd64(z, x, y *Elt) + +//go:noescape +func subAmd64(z, x, y *Elt) + +//go:noescape +func addsubAmd64(x, y *Elt) + +//go:noescape +func mulAmd64(z, x, y *Elt) + +//go:noescape +func sqrAmd64(z, x *Elt) + +//go:noescape +func modpAmd64(z *Elt) diff --git a/vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.h b/vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.h new file mode 100644 index 0000000000..7b25f16e41 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.h @@ -0,0 +1,350 @@ +// This code was imported from https://github.com/armfazh/rfc7748_precomputed + +// CHECK_BMI2ADX triggers bmi2adx if supported, +// otherwise it fallbacks to legacy code. +#define CHECK_BMI2ADX(label, legacy, bmi2adx) \ + CMPB ·hasBmi2Adx(SB), $0 \ + JE label \ + bmi2adx \ + RET \ + label: \ + legacy \ + RET + +// cselect is a conditional move +// if b=1: it copies y into x; +// if b=0: x remains with the same value; +// if b<> 0,1: undefined. +// Uses: AX, DX, FLAGS +// Instr: x86_64, cmov +#define cselect(x,y,b) \ + TESTQ b, b \ + MOVQ 0+x, AX; MOVQ 0+y, DX; CMOVQNE DX, AX; MOVQ AX, 0+x; \ + MOVQ 8+x, AX; MOVQ 8+y, DX; CMOVQNE DX, AX; MOVQ AX, 8+x; \ + MOVQ 16+x, AX; MOVQ 16+y, DX; CMOVQNE DX, AX; MOVQ AX, 16+x; \ + MOVQ 24+x, AX; MOVQ 24+y, DX; CMOVQNE DX, AX; MOVQ AX, 24+x; + +// cswap is a conditional swap +// if b=1: x,y <- y,x; +// if b=0: x,y remain with the same values; +// if b<> 0,1: undefined. +// Uses: AX, DX, R8, FLAGS +// Instr: x86_64, cmov +#define cswap(x,y,b) \ + TESTQ b, b \ + MOVQ 0+x, AX; MOVQ AX, R8; MOVQ 0+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 0+x; MOVQ DX, 0+y; \ + MOVQ 8+x, AX; MOVQ AX, R8; MOVQ 8+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 8+x; MOVQ DX, 8+y; \ + MOVQ 16+x, AX; MOVQ AX, R8; MOVQ 16+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 16+x; MOVQ DX, 16+y; \ + MOVQ 24+x, AX; MOVQ AX, R8; MOVQ 24+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 24+x; MOVQ DX, 24+y; + +// additionLeg adds x and y and stores in z +// Uses: AX, DX, R8-R11, FLAGS +// Instr: x86_64, cmov +#define additionLeg(z,x,y) \ + MOVL $38, AX; \ + MOVL $0, DX; \ + MOVQ 0+x, R8; ADDQ 0+y, R8; \ + MOVQ 8+x, R9; ADCQ 8+y, R9; \ + MOVQ 16+x, R10; ADCQ 16+y, R10; \ + MOVQ 24+x, R11; ADCQ 24+y, R11; \ + CMOVQCS AX, DX; \ + ADDQ DX, R8; \ + ADCQ $0, R9; MOVQ R9, 8+z; \ + ADCQ $0, R10; MOVQ R10, 16+z; \ + ADCQ $0, R11; MOVQ R11, 24+z; \ + MOVL $0, DX; \ + CMOVQCS AX, DX; \ + ADDQ DX, R8; MOVQ R8, 0+z; + +// additionAdx adds x and y and stores in z +// Uses: AX, DX, R8-R11, FLAGS +// Instr: x86_64, cmov, adx +#define additionAdx(z,x,y) \ + MOVL $38, AX; \ + XORL DX, DX; \ + MOVQ 0+x, R8; ADCXQ 0+y, R8; \ + MOVQ 8+x, R9; ADCXQ 8+y, R9; \ + MOVQ 16+x, R10; ADCXQ 16+y, R10; \ + MOVQ 24+x, R11; ADCXQ 24+y, R11; \ + CMOVQCS AX, DX ; \ + XORL AX, AX; \ + ADCXQ DX, R8; \ + ADCXQ AX, R9; MOVQ R9, 8+z; \ + ADCXQ AX, R10; MOVQ R10, 16+z; \ + ADCXQ AX, R11; MOVQ R11, 24+z; \ + MOVL $38, DX; \ + CMOVQCS DX, AX; \ + ADDQ AX, R8; MOVQ R8, 0+z; + +// subtraction subtracts y from x and stores in z +// Uses: AX, DX, R8-R11, FLAGS +// Instr: x86_64, cmov +#define subtraction(z,x,y) \ + MOVL $38, AX; \ + MOVQ 0+x, R8; SUBQ 0+y, R8; \ + MOVQ 8+x, R9; SBBQ 8+y, R9; \ + MOVQ 16+x, R10; SBBQ 16+y, R10; \ + MOVQ 24+x, R11; SBBQ 24+y, R11; \ + MOVL $0, DX; \ + CMOVQCS AX, DX; \ + SUBQ DX, R8; \ + SBBQ $0, R9; MOVQ R9, 8+z; \ + SBBQ $0, R10; MOVQ R10, 16+z; \ + SBBQ $0, R11; MOVQ R11, 24+z; \ + MOVL $0, DX; \ + CMOVQCS AX, DX; \ + SUBQ DX, R8; MOVQ R8, 0+z; + +// integerMulAdx multiplies x and y and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64, bmi2, adx +#define integerMulAdx(z,x,y) \ + MOVQ 0+y, DX; XORL AX, AX; \ + MULXQ 0+x, AX, R8; MOVQ AX, 0+z; \ + MULXQ 8+x, AX, R9; ADCXQ AX, R8; \ + MULXQ 16+x, AX, R10; ADCXQ AX, R9; \ + MULXQ 24+x, AX, R11; ADCXQ AX, R10; \ + MOVL $0, AX;;;;;;;;; ADCXQ AX, R11; \ + MOVQ 8+y, DX; XORL AX, AX; \ + MULXQ 0+x, AX, R12; ADCXQ R8, AX; MOVQ AX, 8+z; \ + MULXQ 8+x, AX, R13; ADCXQ R9, R12; ADOXQ AX, R12; \ + MULXQ 16+x, AX, R14; ADCXQ R10, R13; ADOXQ AX, R13; \ + MULXQ 24+x, AX, R15; ADCXQ R11, R14; ADOXQ AX, R14; \ + MOVL $0, AX;;;;;;;;; ADCXQ AX, R15; ADOXQ AX, R15; \ + MOVQ 16+y, DX; XORL AX, AX; \ + MULXQ 0+x, AX, R8; ADCXQ R12, AX; MOVQ AX, 16+z; \ + MULXQ 8+x, AX, R9; ADCXQ R13, R8; ADOXQ AX, R8; \ + MULXQ 16+x, AX, R10; ADCXQ R14, R9; ADOXQ AX, R9; \ + MULXQ 24+x, AX, R11; ADCXQ R15, R10; ADOXQ AX, R10; \ + MOVL $0, AX;;;;;;;;; ADCXQ AX, R11; ADOXQ AX, R11; \ + MOVQ 24+y, DX; XORL AX, AX; \ + MULXQ 0+x, AX, R12; ADCXQ R8, AX; MOVQ AX, 24+z; \ + MULXQ 8+x, AX, R13; ADCXQ R9, R12; ADOXQ AX, R12; MOVQ R12, 32+z; \ + MULXQ 16+x, AX, R14; ADCXQ R10, R13; ADOXQ AX, R13; MOVQ R13, 40+z; \ + MULXQ 24+x, AX, R15; ADCXQ R11, R14; ADOXQ AX, R14; MOVQ R14, 48+z; \ + MOVL $0, AX;;;;;;;;; ADCXQ AX, R15; ADOXQ AX, R15; MOVQ R15, 56+z; + +// integerMulLeg multiplies x and y and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64 +#define integerMulLeg(z,x,y) \ + MOVQ 0+y, R8; \ + MOVQ 0+x, AX; MULQ R8; MOVQ AX, 0+z; MOVQ DX, R15; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R8; \ + ADDQ R13, R15; \ + ADCQ R14, R10; MOVQ R10, 16+z; \ + ADCQ AX, R11; MOVQ R11, 24+z; \ + ADCQ $0, DX; MOVQ DX, 32+z; \ + MOVQ 8+y, R8; \ + MOVQ 0+x, AX; MULQ R8; MOVQ AX, R12; MOVQ DX, R9; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R8; \ + ADDQ R12, R15; MOVQ R15, 8+z; \ + ADCQ R13, R9; \ + ADCQ R14, R10; \ + ADCQ AX, R11; \ + ADCQ $0, DX; \ + ADCQ 16+z, R9; MOVQ R9, R15; \ + ADCQ 24+z, R10; MOVQ R10, 24+z; \ + ADCQ 32+z, R11; MOVQ R11, 32+z; \ + ADCQ $0, DX; MOVQ DX, 40+z; \ + MOVQ 16+y, R8; \ + MOVQ 0+x, AX; MULQ R8; MOVQ AX, R12; MOVQ DX, R9; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R8; \ + ADDQ R12, R15; MOVQ R15, 16+z; \ + ADCQ R13, R9; \ + ADCQ R14, R10; \ + ADCQ AX, R11; \ + ADCQ $0, DX; \ + ADCQ 24+z, R9; MOVQ R9, R15; \ + ADCQ 32+z, R10; MOVQ R10, 32+z; \ + ADCQ 40+z, R11; MOVQ R11, 40+z; \ + ADCQ $0, DX; MOVQ DX, 48+z; \ + MOVQ 24+y, R8; \ + MOVQ 0+x, AX; MULQ R8; MOVQ AX, R12; MOVQ DX, R9; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R8; \ + ADDQ R12, R15; MOVQ R15, 24+z; \ + ADCQ R13, R9; \ + ADCQ R14, R10; \ + ADCQ AX, R11; \ + ADCQ $0, DX; \ + ADCQ 32+z, R9; MOVQ R9, 32+z; \ + ADCQ 40+z, R10; MOVQ R10, 40+z; \ + ADCQ 48+z, R11; MOVQ R11, 48+z; \ + ADCQ $0, DX; MOVQ DX, 56+z; + +// integerSqrLeg squares x and stores in z +// Uses: AX, CX, DX, R8-R15, FLAGS +// Instr: x86_64 +#define integerSqrLeg(z,x) \ + MOVQ 0+x, R8; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, R9; MOVQ DX, R10; /* A[0]*A[1] */ \ + MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; /* A[0]*A[2] */ \ + MOVQ 24+x, AX; MULQ R8; MOVQ AX, R15; MOVQ DX, R12; /* A[0]*A[3] */ \ + MOVQ 24+x, R8; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, CX; MOVQ DX, R13; /* A[3]*A[1] */ \ + MOVQ 16+x, AX; MULQ R8; /* A[3]*A[2] */ \ + \ + ADDQ R14, R10;\ + ADCQ R15, R11; MOVL $0, R15;\ + ADCQ CX, R12;\ + ADCQ AX, R13;\ + ADCQ $0, DX; MOVQ DX, R14;\ + MOVQ 8+x, AX; MULQ 16+x;\ + \ + ADDQ AX, R11;\ + ADCQ DX, R12;\ + ADCQ $0, R13;\ + ADCQ $0, R14;\ + ADCQ $0, R15;\ + \ + SHLQ $1, R14, R15; MOVQ R15, 56+z;\ + SHLQ $1, R13, R14; MOVQ R14, 48+z;\ + SHLQ $1, R12, R13; MOVQ R13, 40+z;\ + SHLQ $1, R11, R12; MOVQ R12, 32+z;\ + SHLQ $1, R10, R11; MOVQ R11, 24+z;\ + SHLQ $1, R9, R10; MOVQ R10, 16+z;\ + SHLQ $1, R9; MOVQ R9, 8+z;\ + \ + MOVQ 0+x,AX; MULQ AX; MOVQ AX, 0+z; MOVQ DX, R9;\ + MOVQ 8+x,AX; MULQ AX; MOVQ AX, R10; MOVQ DX, R11;\ + MOVQ 16+x,AX; MULQ AX; MOVQ AX, R12; MOVQ DX, R13;\ + MOVQ 24+x,AX; MULQ AX; MOVQ AX, R14; MOVQ DX, R15;\ + \ + ADDQ 8+z, R9; MOVQ R9, 8+z;\ + ADCQ 16+z, R10; MOVQ R10, 16+z;\ + ADCQ 24+z, R11; MOVQ R11, 24+z;\ + ADCQ 32+z, R12; MOVQ R12, 32+z;\ + ADCQ 40+z, R13; MOVQ R13, 40+z;\ + ADCQ 48+z, R14; MOVQ R14, 48+z;\ + ADCQ 56+z, R15; MOVQ R15, 56+z; + +// integerSqrAdx squares x and stores in z +// Uses: AX, CX, DX, R8-R15, FLAGS +// Instr: x86_64, bmi2, adx +#define integerSqrAdx(z,x) \ + MOVQ 0+x, DX; /* A[0] */ \ + MULXQ 8+x, R8, R14; /* A[1]*A[0] */ XORL R15, R15; \ + MULXQ 16+x, R9, R10; /* A[2]*A[0] */ ADCXQ R14, R9; \ + MULXQ 24+x, AX, CX; /* A[3]*A[0] */ ADCXQ AX, R10; \ + MOVQ 24+x, DX; /* A[3] */ \ + MULXQ 8+x, R11, R12; /* A[1]*A[3] */ ADCXQ CX, R11; \ + MULXQ 16+x, AX, R13; /* A[2]*A[3] */ ADCXQ AX, R12; \ + MOVQ 8+x, DX; /* A[1] */ ADCXQ R15, R13; \ + MULXQ 16+x, AX, CX; /* A[2]*A[1] */ MOVL $0, R14; \ + ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ADCXQ R15, R14; \ + XORL R15, R15; \ + ADOXQ AX, R10; ADCXQ R8, R8; \ + ADOXQ CX, R11; ADCXQ R9, R9; \ + ADOXQ R15, R12; ADCXQ R10, R10; \ + ADOXQ R15, R13; ADCXQ R11, R11; \ + ADOXQ R15, R14; ADCXQ R12, R12; \ + ;;;;;;;;;;;;;;; ADCXQ R13, R13; \ + ;;;;;;;;;;;;;;; ADCXQ R14, R14; \ + MOVQ 0+x, DX; MULXQ DX, AX, CX; /* A[0]^2 */ \ + ;;;;;;;;;;;;;;; MOVQ AX, 0+z; \ + ADDQ CX, R8; MOVQ R8, 8+z; \ + MOVQ 8+x, DX; MULXQ DX, AX, CX; /* A[1]^2 */ \ + ADCQ AX, R9; MOVQ R9, 16+z; \ + ADCQ CX, R10; MOVQ R10, 24+z; \ + MOVQ 16+x, DX; MULXQ DX, AX, CX; /* A[2]^2 */ \ + ADCQ AX, R11; MOVQ R11, 32+z; \ + ADCQ CX, R12; MOVQ R12, 40+z; \ + MOVQ 24+x, DX; MULXQ DX, AX, CX; /* A[3]^2 */ \ + ADCQ AX, R13; MOVQ R13, 48+z; \ + ADCQ CX, R14; MOVQ R14, 56+z; + +// reduceFromDouble finds z congruent to x modulo p such that 0> 63) + // PUT BIT 255 IN CARRY FLAG AND CLEAR + x3 &^= 1 << 63 + + x0, c0 := bits.Add64(x0, cx, 0) + x1, c1 := bits.Add64(x1, 0, c0) + x2, c2 := bits.Add64(x2, 0, c1) + x3, _ = bits.Add64(x3, 0, c2) + + // TEST FOR BIT 255 AGAIN; ONLY TRIGGERED ON OVERFLOW MODULO 2^255-19 + // cx = C[255] ? 0 : 19 + cx = uint64(19) &^ (-(x3 >> 63)) + // CLEAR BIT 255 + x3 &^= 1 << 63 + + x0, c0 = bits.Sub64(x0, cx, 0) + x1, c1 = bits.Sub64(x1, 0, c0) + x2, c2 = bits.Sub64(x2, 0, c1) + x3, _ = bits.Sub64(x3, 0, c2) + + binary.LittleEndian.PutUint64(x[0*8:1*8], x0) + binary.LittleEndian.PutUint64(x[1*8:2*8], x1) + binary.LittleEndian.PutUint64(x[2*8:3*8], x2) + binary.LittleEndian.PutUint64(x[3*8:4*8], x3) +} + +func red64(z *Elt, x0, x1, x2, x3, x4, x5, x6, x7 uint64) { + h0, l0 := bits.Mul64(x4, 38) + h1, l1 := bits.Mul64(x5, 38) + h2, l2 := bits.Mul64(x6, 38) + h3, l3 := bits.Mul64(x7, 38) + + l1, c0 := bits.Add64(h0, l1, 0) + l2, c1 := bits.Add64(h1, l2, c0) + l3, c2 := bits.Add64(h2, l3, c1) + l4, _ := bits.Add64(h3, 0, c2) + + l0, c0 = bits.Add64(l0, x0, 0) + l1, c1 = bits.Add64(l1, x1, c0) + l2, c2 = bits.Add64(l2, x2, c1) + l3, c3 := bits.Add64(l3, x3, c2) + l4, _ = bits.Add64(l4, 0, c3) + + _, l4 = bits.Mul64(l4, 38) + l0, c0 = bits.Add64(l0, l4, 0) + z1, c1 := bits.Add64(l1, 0, c0) + z2, c2 := bits.Add64(l2, 0, c1) + z3, c3 := bits.Add64(l3, 0, c2) + z0, _ := bits.Add64(l0, (-c3)&38, 0) + + binary.LittleEndian.PutUint64(z[0*8:1*8], z0) + binary.LittleEndian.PutUint64(z[1*8:2*8], z1) + binary.LittleEndian.PutUint64(z[2*8:3*8], z2) + binary.LittleEndian.PutUint64(z[3*8:4*8], z3) +} diff --git a/vendor/github.com/cloudflare/circl/math/fp25519/fp_noasm.go b/vendor/github.com/cloudflare/circl/math/fp25519/fp_noasm.go new file mode 100644 index 0000000000..26ca4d01b7 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp25519/fp_noasm.go @@ -0,0 +1,13 @@ +//go:build !amd64 || purego +// +build !amd64 purego + +package fp25519 + +func cmov(x, y *Elt, n uint) { cmovGeneric(x, y, n) } +func cswap(x, y *Elt, n uint) { cswapGeneric(x, y, n) } +func add(z, x, y *Elt) { addGeneric(z, x, y) } +func sub(z, x, y *Elt) { subGeneric(z, x, y) } +func addsub(x, y *Elt) { addsubGeneric(x, y) } +func mul(z, x, y *Elt) { mulGeneric(z, x, y) } +func sqr(z, x *Elt) { sqrGeneric(z, x) } +func modp(z *Elt) { modpGeneric(z) } diff --git a/vendor/github.com/cloudflare/circl/math/fp448/fp.go b/vendor/github.com/cloudflare/circl/math/fp448/fp.go new file mode 100644 index 0000000000..a5e36600bb --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp448/fp.go @@ -0,0 +1,164 @@ +// Package fp448 provides prime field arithmetic over GF(2^448-2^224-1). +package fp448 + +import ( + "errors" + + "github.com/cloudflare/circl/internal/conv" +) + +// Size in bytes of an element. +const Size = 56 + +// Elt is a prime field element. +type Elt [Size]byte + +func (e Elt) String() string { return conv.BytesLe2Hex(e[:]) } + +// p is the prime modulus 2^448-2^224-1. +var p = Elt{ + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +} + +// P returns the prime modulus 2^448-2^224-1. +func P() Elt { return p } + +// ToBytes stores in b the little-endian byte representation of x. +func ToBytes(b []byte, x *Elt) error { + if len(b) != Size { + return errors.New("wrong size") + } + Modp(x) + copy(b, x[:]) + return nil +} + +// IsZero returns true if x is equal to 0. +func IsZero(x *Elt) bool { Modp(x); return *x == Elt{} } + +// IsOne returns true if x is equal to 1. +func IsOne(x *Elt) bool { Modp(x); return *x == Elt{1} } + +// SetOne assigns x=1. +func SetOne(x *Elt) { *x = Elt{1} } + +// One returns the 1 element. +func One() (x Elt) { x = Elt{1}; return } + +// Neg calculates z = -x. +func Neg(z, x *Elt) { Sub(z, &p, x) } + +// Modp ensures that z is between [0,p-1]. +func Modp(z *Elt) { Sub(z, z, &p) } + +// InvSqrt calculates z = sqrt(x/y) iff x/y is a quadratic-residue. If so, +// isQR = true; otherwise, isQR = false, since x/y is a quadratic non-residue, +// and z = sqrt(-x/y). +func InvSqrt(z, x, y *Elt) (isQR bool) { + // First note that x^(2(k+1)) = x^(p-1)/2 * x = legendre(x) * x + // so that's x if x is a quadratic residue and -x otherwise. + // Next, y^(6k+3) = y^(4k+2) * y^(2k+1) = y^(p-1) * y^((p-1)/2) = legendre(y). + // So the z we compute satisfies z^2 y = x^(2(k+1)) y^(6k+3) = legendre(x)*legendre(y). + // Thus if x and y are quadratic residues, then z is indeed sqrt(x/y). + t0, t1 := &Elt{}, &Elt{} + Mul(t0, x, y) // x*y + Sqr(t1, y) // y^2 + Mul(t1, t0, t1) // x*y^3 + powPminus3div4(z, t1) // (x*y^3)^k + Mul(z, z, t0) // z = x*y*(x*y^3)^k = x^(k+1) * y^(3k+1) + + // Check if x/y is a quadratic residue + Sqr(t0, z) // z^2 + Mul(t0, t0, y) // y*z^2 + Sub(t0, t0, x) // y*z^2-x + return IsZero(t0) +} + +// Inv calculates z = 1/x mod p. +func Inv(z, x *Elt) { + // Calculates z = x^(4k+1) = x^(p-3+1) = x^(p-2) = x^-1, where k = (p-3)/4. + t := &Elt{} + powPminus3div4(t, x) // t = x^k + Sqr(t, t) // t = x^2k + Sqr(t, t) // t = x^4k + Mul(z, t, x) // z = x^(4k+1) +} + +// powPminus3div4 calculates z = x^k mod p, where k = (p-3)/4. +func powPminus3div4(z, x *Elt) { + x0, x1 := &Elt{}, &Elt{} + Sqr(z, x) + Mul(z, z, x) + Sqr(x0, z) + Mul(x0, x0, x) + Sqr(z, x0) + Sqr(z, z) + Sqr(z, z) + Mul(z, z, x0) + Sqr(x1, z) + for i := 0; i < 5; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, z) + Sqr(z, x1) + for i := 0; i < 11; i++ { + Sqr(z, z) + } + Mul(z, z, x1) + Sqr(z, z) + Sqr(z, z) + Sqr(z, z) + Mul(z, z, x0) + Sqr(x1, z) + for i := 0; i < 26; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, z) + Sqr(z, x1) + for i := 0; i < 53; i++ { + Sqr(z, z) + } + Mul(z, z, x1) + Sqr(z, z) + Sqr(z, z) + Sqr(z, z) + Mul(z, z, x0) + Sqr(x1, z) + for i := 0; i < 110; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, z) + Sqr(z, x1) + Mul(z, z, x) + for i := 0; i < 223; i++ { + Sqr(z, z) + } + Mul(z, z, x1) +} + +// Cmov assigns y to x if n is 1. +func Cmov(x, y *Elt, n uint) { cmov(x, y, n) } + +// Cswap interchanges x and y if n is 1. +func Cswap(x, y *Elt, n uint) { cswap(x, y, n) } + +// Add calculates z = x+y mod p. +func Add(z, x, y *Elt) { add(z, x, y) } + +// Sub calculates z = x-y mod p. +func Sub(z, x, y *Elt) { sub(z, x, y) } + +// AddSub calculates (x,y) = (x+y mod p, x-y mod p). +func AddSub(x, y *Elt) { addsub(x, y) } + +// Mul calculates z = x*y mod p. +func Mul(z, x, y *Elt) { mul(z, x, y) } + +// Sqr calculates z = x^2 mod p. +func Sqr(z, x *Elt) { sqr(z, x) } diff --git a/vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.go b/vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.go new file mode 100644 index 0000000000..6a12209a70 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.go @@ -0,0 +1,43 @@ +//go:build amd64 && !purego +// +build amd64,!purego + +package fp448 + +import ( + "golang.org/x/sys/cpu" +) + +var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX + +var _ = hasBmi2Adx + +func cmov(x, y *Elt, n uint) { cmovAmd64(x, y, n) } +func cswap(x, y *Elt, n uint) { cswapAmd64(x, y, n) } +func add(z, x, y *Elt) { addAmd64(z, x, y) } +func sub(z, x, y *Elt) { subAmd64(z, x, y) } +func addsub(x, y *Elt) { addsubAmd64(x, y) } +func mul(z, x, y *Elt) { mulAmd64(z, x, y) } +func sqr(z, x *Elt) { sqrAmd64(z, x) } + +/* Functions defined in fp_amd64.s */ + +//go:noescape +func cmovAmd64(x, y *Elt, n uint) + +//go:noescape +func cswapAmd64(x, y *Elt, n uint) + +//go:noescape +func addAmd64(z, x, y *Elt) + +//go:noescape +func subAmd64(z, x, y *Elt) + +//go:noescape +func addsubAmd64(x, y *Elt) + +//go:noescape +func mulAmd64(z, x, y *Elt) + +//go:noescape +func sqrAmd64(z, x *Elt) diff --git a/vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.h b/vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.h new file mode 100644 index 0000000000..0b7dea174b --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.h @@ -0,0 +1,590 @@ +// This code was imported from https://github.com/armfazh/rfc7748_precomputed + +// CHECK_BMI2ADX triggers bmi2adx if supported, +// otherwise it fallbacks to legacy code. +#define CHECK_BMI2ADX(label, legacy, bmi2adx) \ + CMPB ·hasBmi2Adx(SB), $0 \ + JE label \ + bmi2adx \ + RET \ + label: \ + legacy \ + RET + +// cselect is a conditional move +// if b=1: it copies y into x; +// if b=0: x remains with the same value; +// if b<> 0,1: undefined. +// Uses: AX, DX, FLAGS +// Instr: x86_64, cmov +#define cselect(x,y,b) \ + TESTQ b, b \ + MOVQ 0+x, AX; MOVQ 0+y, DX; CMOVQNE DX, AX; MOVQ AX, 0+x; \ + MOVQ 8+x, AX; MOVQ 8+y, DX; CMOVQNE DX, AX; MOVQ AX, 8+x; \ + MOVQ 16+x, AX; MOVQ 16+y, DX; CMOVQNE DX, AX; MOVQ AX, 16+x; \ + MOVQ 24+x, AX; MOVQ 24+y, DX; CMOVQNE DX, AX; MOVQ AX, 24+x; \ + MOVQ 32+x, AX; MOVQ 32+y, DX; CMOVQNE DX, AX; MOVQ AX, 32+x; \ + MOVQ 40+x, AX; MOVQ 40+y, DX; CMOVQNE DX, AX; MOVQ AX, 40+x; \ + MOVQ 48+x, AX; MOVQ 48+y, DX; CMOVQNE DX, AX; MOVQ AX, 48+x; + +// cswap is a conditional swap +// if b=1: x,y <- y,x; +// if b=0: x,y remain with the same values; +// if b<> 0,1: undefined. +// Uses: AX, DX, R8, FLAGS +// Instr: x86_64, cmov +#define cswap(x,y,b) \ + TESTQ b, b \ + MOVQ 0+x, AX; MOVQ AX, R8; MOVQ 0+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 0+x; MOVQ DX, 0+y; \ + MOVQ 8+x, AX; MOVQ AX, R8; MOVQ 8+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 8+x; MOVQ DX, 8+y; \ + MOVQ 16+x, AX; MOVQ AX, R8; MOVQ 16+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 16+x; MOVQ DX, 16+y; \ + MOVQ 24+x, AX; MOVQ AX, R8; MOVQ 24+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 24+x; MOVQ DX, 24+y; \ + MOVQ 32+x, AX; MOVQ AX, R8; MOVQ 32+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 32+x; MOVQ DX, 32+y; \ + MOVQ 40+x, AX; MOVQ AX, R8; MOVQ 40+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 40+x; MOVQ DX, 40+y; \ + MOVQ 48+x, AX; MOVQ AX, R8; MOVQ 48+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 48+x; MOVQ DX, 48+y; + +// additionLeg adds x and y and stores in z +// Uses: AX, DX, R8-R14, FLAGS +// Instr: x86_64 +#define additionLeg(z,x,y) \ + MOVQ 0+x, R8; ADDQ 0+y, R8; \ + MOVQ 8+x, R9; ADCQ 8+y, R9; \ + MOVQ 16+x, R10; ADCQ 16+y, R10; \ + MOVQ 24+x, R11; ADCQ 24+y, R11; \ + MOVQ 32+x, R12; ADCQ 32+y, R12; \ + MOVQ 40+x, R13; ADCQ 40+y, R13; \ + MOVQ 48+x, R14; ADCQ 48+y, R14; \ + MOVQ $0, AX; ADCQ $0, AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + ADDQ AX, R8; MOVQ $0, AX; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ DX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + ADCQ $0, AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + ADDQ AX, R8; MOVQ R8, 0+z; \ + ADCQ $0, R9; MOVQ R9, 8+z; \ + ADCQ $0, R10; MOVQ R10, 16+z; \ + ADCQ DX, R11; MOVQ R11, 24+z; \ + ADCQ $0, R12; MOVQ R12, 32+z; \ + ADCQ $0, R13; MOVQ R13, 40+z; \ + ADCQ $0, R14; MOVQ R14, 48+z; + + +// additionAdx adds x and y and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64, adx +#define additionAdx(z,x,y) \ + MOVL $32, R15; \ + XORL DX, DX; \ + MOVQ 0+x, R8; ADCXQ 0+y, R8; \ + MOVQ 8+x, R9; ADCXQ 8+y, R9; \ + MOVQ 16+x, R10; ADCXQ 16+y, R10; \ + MOVQ 24+x, R11; ADCXQ 24+y, R11; \ + MOVQ 32+x, R12; ADCXQ 32+y, R12; \ + MOVQ 40+x, R13; ADCXQ 40+y, R13; \ + MOVQ 48+x, R14; ADCXQ 48+y, R14; \ + ;;;;;;;;;;;;;;; ADCXQ DX, DX; \ + XORL AX, AX; \ + ADCXQ DX, R8; SHLXQ R15, DX, DX; \ + ADCXQ AX, R9; \ + ADCXQ AX, R10; \ + ADCXQ DX, R11; \ + ADCXQ AX, R12; \ + ADCXQ AX, R13; \ + ADCXQ AX, R14; \ + ADCXQ AX, AX; \ + XORL DX, DX; \ + ADCXQ AX, R8; MOVQ R8, 0+z; SHLXQ R15, AX, AX; \ + ADCXQ DX, R9; MOVQ R9, 8+z; \ + ADCXQ DX, R10; MOVQ R10, 16+z; \ + ADCXQ AX, R11; MOVQ R11, 24+z; \ + ADCXQ DX, R12; MOVQ R12, 32+z; \ + ADCXQ DX, R13; MOVQ R13, 40+z; \ + ADCXQ DX, R14; MOVQ R14, 48+z; + +// subtraction subtracts y from x and stores in z +// Uses: AX, DX, R8-R14, FLAGS +// Instr: x86_64 +#define subtraction(z,x,y) \ + MOVQ 0+x, R8; SUBQ 0+y, R8; \ + MOVQ 8+x, R9; SBBQ 8+y, R9; \ + MOVQ 16+x, R10; SBBQ 16+y, R10; \ + MOVQ 24+x, R11; SBBQ 24+y, R11; \ + MOVQ 32+x, R12; SBBQ 32+y, R12; \ + MOVQ 40+x, R13; SBBQ 40+y, R13; \ + MOVQ 48+x, R14; SBBQ 48+y, R14; \ + MOVQ $0, AX; SETCS AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + SUBQ AX, R8; MOVQ $0, AX; \ + SBBQ $0, R9; \ + SBBQ $0, R10; \ + SBBQ DX, R11; \ + SBBQ $0, R12; \ + SBBQ $0, R13; \ + SBBQ $0, R14; \ + SETCS AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + SUBQ AX, R8; MOVQ R8, 0+z; \ + SBBQ $0, R9; MOVQ R9, 8+z; \ + SBBQ $0, R10; MOVQ R10, 16+z; \ + SBBQ DX, R11; MOVQ R11, 24+z; \ + SBBQ $0, R12; MOVQ R12, 32+z; \ + SBBQ $0, R13; MOVQ R13, 40+z; \ + SBBQ $0, R14; MOVQ R14, 48+z; + +// maddBmi2Adx multiplies x and y and accumulates in z +// Uses: AX, DX, R15, FLAGS +// Instr: x86_64, bmi2, adx +#define maddBmi2Adx(z,x,y,i,r0,r1,r2,r3,r4,r5,r6) \ + MOVQ i+y, DX; XORL AX, AX; \ + MULXQ 0+x, AX, R8; ADOXQ AX, r0; ADCXQ R8, r1; MOVQ r0,i+z; \ + MULXQ 8+x, AX, r0; ADOXQ AX, r1; ADCXQ r0, r2; MOVQ $0, R8; \ + MULXQ 16+x, AX, r0; ADOXQ AX, r2; ADCXQ r0, r3; \ + MULXQ 24+x, AX, r0; ADOXQ AX, r3; ADCXQ r0, r4; \ + MULXQ 32+x, AX, r0; ADOXQ AX, r4; ADCXQ r0, r5; \ + MULXQ 40+x, AX, r0; ADOXQ AX, r5; ADCXQ r0, r6; \ + MULXQ 48+x, AX, r0; ADOXQ AX, r6; ADCXQ R8, r0; \ + ;;;;;;;;;;;;;;;;;;; ADOXQ R8, r0; + +// integerMulAdx multiplies x and y and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64, bmi2, adx +#define integerMulAdx(z,x,y) \ + MOVQ 0+y, DX; XORL AX, AX; MOVQ $0, R8; \ + MULXQ 0+x, AX, R9; MOVQ AX, 0+z; \ + MULXQ 8+x, AX, R10; ADCXQ AX, R9; \ + MULXQ 16+x, AX, R11; ADCXQ AX, R10; \ + MULXQ 24+x, AX, R12; ADCXQ AX, R11; \ + MULXQ 32+x, AX, R13; ADCXQ AX, R12; \ + MULXQ 40+x, AX, R14; ADCXQ AX, R13; \ + MULXQ 48+x, AX, R15; ADCXQ AX, R14; \ + ;;;;;;;;;;;;;;;;;;;; ADCXQ R8, R15; \ + maddBmi2Adx(z,x,y, 8, R9,R10,R11,R12,R13,R14,R15) \ + maddBmi2Adx(z,x,y,16,R10,R11,R12,R13,R14,R15, R9) \ + maddBmi2Adx(z,x,y,24,R11,R12,R13,R14,R15, R9,R10) \ + maddBmi2Adx(z,x,y,32,R12,R13,R14,R15, R9,R10,R11) \ + maddBmi2Adx(z,x,y,40,R13,R14,R15, R9,R10,R11,R12) \ + maddBmi2Adx(z,x,y,48,R14,R15, R9,R10,R11,R12,R13) \ + MOVQ R15, 56+z; \ + MOVQ R9, 64+z; \ + MOVQ R10, 72+z; \ + MOVQ R11, 80+z; \ + MOVQ R12, 88+z; \ + MOVQ R13, 96+z; \ + MOVQ R14, 104+z; + +// maddLegacy multiplies x and y and accumulates in z +// Uses: AX, DX, R15, FLAGS +// Instr: x86_64 +#define maddLegacy(z,x,y,i) \ + MOVQ i+y, R15; \ + MOVQ 0+x, AX; MULQ R15; MOVQ AX, R8; ;;;;;;;;;;;; MOVQ DX, R9; \ + MOVQ 8+x, AX; MULQ R15; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R15; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R15; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; \ + MOVQ 32+x, AX; MULQ R15; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; \ + MOVQ 40+x, AX; MULQ R15; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX, R14; \ + MOVQ 48+x, AX; MULQ R15; ADDQ AX, R14; ADCQ $0, DX; \ + ADDQ 0+i+z, R8; MOVQ R8, 0+i+z; \ + ADCQ 8+i+z, R9; MOVQ R9, 8+i+z; \ + ADCQ 16+i+z, R10; MOVQ R10, 16+i+z; \ + ADCQ 24+i+z, R11; MOVQ R11, 24+i+z; \ + ADCQ 32+i+z, R12; MOVQ R12, 32+i+z; \ + ADCQ 40+i+z, R13; MOVQ R13, 40+i+z; \ + ADCQ 48+i+z, R14; MOVQ R14, 48+i+z; \ + ADCQ $0, DX; MOVQ DX, 56+i+z; + +// integerMulLeg multiplies x and y and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64 +#define integerMulLeg(z,x,y) \ + MOVQ 0+y, R15; \ + MOVQ 0+x, AX; MULQ R15; MOVQ AX, 0+z; ;;;;;;;;;;;; MOVQ DX, R8; \ + MOVQ 8+x, AX; MULQ R15; ADDQ AX, R8; ADCQ $0, DX; MOVQ DX, R9; MOVQ R8, 8+z; \ + MOVQ 16+x, AX; MULQ R15; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; MOVQ R9, 16+z; \ + MOVQ 24+x, AX; MULQ R15; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; MOVQ R10, 24+z; \ + MOVQ 32+x, AX; MULQ R15; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; MOVQ R11, 32+z; \ + MOVQ 40+x, AX; MULQ R15; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; MOVQ R12, 40+z; \ + MOVQ 48+x, AX; MULQ R15; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX,56+z; MOVQ R13, 48+z; \ + maddLegacy(z,x,y, 8) \ + maddLegacy(z,x,y,16) \ + maddLegacy(z,x,y,24) \ + maddLegacy(z,x,y,32) \ + maddLegacy(z,x,y,40) \ + maddLegacy(z,x,y,48) + +// integerSqrLeg squares x and stores in z +// Uses: AX, CX, DX, R8-R15, FLAGS +// Instr: x86_64 +#define integerSqrLeg(z,x) \ + XORL R15, R15; \ + MOVQ 0+x, CX; \ + MOVQ CX, AX; MULQ CX; MOVQ AX, 0+z; MOVQ DX, R8; \ + ADDQ CX, CX; ADCQ $0, R15; \ + MOVQ 8+x, AX; MULQ CX; ADDQ AX, R8; ADCQ $0, DX; MOVQ DX, R9; MOVQ R8, 8+z; \ + MOVQ 16+x, AX; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; \ + MOVQ 24+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; \ + MOVQ 32+x, AX; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; \ + MOVQ 40+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX, R14; \ + \ + MOVQ 8+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; MOVQ R9,16+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 8+x, AX; ADDQ AX, DX; ADCQ $0, R11; MOVQ DX, R8; \ + ADDQ 8+x, CX; ADCQ $0, R15; \ + MOVQ 16+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; ADDQ R8, R10; ADCQ $0, DX; MOVQ DX, R8; MOVQ R10, 24+z; \ + MOVQ 24+x, AX; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; ADDQ R8, R11; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 32+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; ADDQ R8, R12; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 40+x, AX; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; ADDQ R8, R13; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R14; ADCQ $0, DX; ADDQ R8, R14; ADCQ $0, DX; MOVQ DX, R9; \ + \ + MOVQ 16+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; MOVQ R11, 32+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 16+x,AX; ADDQ AX, DX; ADCQ $0, R13; MOVQ DX, R8; \ + ADDQ 16+x, CX; ADCQ $0, R15; \ + MOVQ 24+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; ADDQ R8, R12; ADCQ $0, DX; MOVQ DX, R8; MOVQ R12, 40+z; \ + MOVQ 32+x, AX; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; ADDQ R8, R13; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 40+x, AX; MULQ CX; ADDQ AX, R14; ADCQ $0, DX; ADDQ R8, R14; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; ADDQ R8, R9; ADCQ $0, DX; MOVQ DX,R10; \ + \ + MOVQ 24+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; MOVQ R13, 48+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 24+x,AX; ADDQ AX, DX; ADCQ $0, R9; MOVQ DX, R8; \ + ADDQ 24+x, CX; ADCQ $0, R15; \ + MOVQ 32+x, AX; MULQ CX; ADDQ AX, R14; ADCQ $0, DX; ADDQ R8, R14; ADCQ $0, DX; MOVQ DX, R8; MOVQ R14, 56+z; \ + MOVQ 40+x, AX; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; ADDQ R8, R9; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; ADDQ R8, R10; ADCQ $0, DX; MOVQ DX,R11; \ + \ + MOVQ 32+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; MOVQ R9, 64+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 32+x,AX; ADDQ AX, DX; ADCQ $0, R11; MOVQ DX, R8; \ + ADDQ 32+x, CX; ADCQ $0, R15; \ + MOVQ 40+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; ADDQ R8, R10; ADCQ $0, DX; MOVQ DX, R8; MOVQ R10, 72+z; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; ADDQ R8, R11; ADCQ $0, DX; MOVQ DX,R12; \ + \ + XORL R13, R13; \ + XORL R14, R14; \ + MOVQ 40+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; MOVQ R11, 80+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 40+x,AX; ADDQ AX, DX; ADCQ $0, R13; MOVQ DX, R8; \ + ADDQ 40+x, CX; ADCQ $0, R15; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; ADDQ R8, R12; ADCQ $0, DX; MOVQ DX, R8; MOVQ R12, 88+z; \ + ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ADDQ R8, R13; ADCQ $0,R14; \ + \ + XORL R9, R9; \ + MOVQ 48+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; MOVQ R13, 96+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 48+x,AX; ADDQ AX, DX; ADCQ $0, R9; MOVQ DX, R8; \ + ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ADDQ R8,R14; ADCQ $0, R9; MOVQ R14, 104+z; + + +// integerSqrAdx squares x and stores in z +// Uses: AX, CX, DX, R8-R15, FLAGS +// Instr: x86_64, bmi2, adx +#define integerSqrAdx(z,x) \ + XORL R15, R15; \ + MOVQ 0+x, DX; \ + ;;;;;;;;;;;;;; MULXQ DX, AX, R8; MOVQ AX, 0+z; \ + ADDQ DX, DX; ADCQ $0, R15; CLC; \ + MULXQ 8+x, AX, R9; ADCXQ AX, R8; MOVQ R8, 8+z; \ + MULXQ 16+x, AX, R10; ADCXQ AX, R9; MOVQ $0, R8;\ + MULXQ 24+x, AX, R11; ADCXQ AX, R10; \ + MULXQ 32+x, AX, R12; ADCXQ AX, R11; \ + MULXQ 40+x, AX, R13; ADCXQ AX, R12; \ + MULXQ 48+x, AX, R14; ADCXQ AX, R13; \ + ;;;;;;;;;;;;;;;;;;;; ADCXQ R8, R14; \ + \ + MOVQ 8+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 8+x, R8; \ + ADDQ AX, R9; MOVQ R9, 16+z; \ + ADCQ CX, R8; \ + ADCQ $0, R11; \ + ADDQ 8+x, DX; \ + ADCQ $0, R15; \ + XORL R9, R9; ;;;;;;;;;;;;;;;;;;;;; ADOXQ R8, R10; \ + MULXQ 16+x, AX, CX; ADCXQ AX, R10; ADOXQ CX, R11; MOVQ R10, 24+z; \ + MULXQ 24+x, AX, CX; ADCXQ AX, R11; ADOXQ CX, R12; MOVQ $0, R10; \ + MULXQ 32+x, AX, CX; ADCXQ AX, R12; ADOXQ CX, R13; \ + MULXQ 40+x, AX, CX; ADCXQ AX, R13; ADOXQ CX, R14; \ + MULXQ 48+x, AX, CX; ADCXQ AX, R14; ADOXQ CX, R9; \ + ;;;;;;;;;;;;;;;;;;; ADCXQ R10, R9; \ + \ + MOVQ 16+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 16+x, R8; \ + ADDQ AX, R11; MOVQ R11, 32+z; \ + ADCQ CX, R8; \ + ADCQ $0, R13; \ + ADDQ 16+x, DX; \ + ADCQ $0, R15; \ + XORL R11, R11; ;;;;;;;;;;;;;;;;;;; ADOXQ R8, R12; \ + MULXQ 24+x, AX, CX; ADCXQ AX, R12; ADOXQ CX, R13; MOVQ R12, 40+z; \ + MULXQ 32+x, AX, CX; ADCXQ AX, R13; ADOXQ CX, R14; MOVQ $0, R12; \ + MULXQ 40+x, AX, CX; ADCXQ AX, R14; ADOXQ CX, R9; \ + MULXQ 48+x, AX, CX; ADCXQ AX, R9; ADOXQ CX, R10; \ + ;;;;;;;;;;;;;;;;;;; ADCXQ R11,R10; \ + \ + MOVQ 24+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 24+x, R8; \ + ADDQ AX, R13; MOVQ R13, 48+z; \ + ADCQ CX, R8; \ + ADCQ $0, R9; \ + ADDQ 24+x, DX; \ + ADCQ $0, R15; \ + XORL R13, R13; ;;;;;;;;;;;;;;;;;;; ADOXQ R8, R14; \ + MULXQ 32+x, AX, CX; ADCXQ AX, R14; ADOXQ CX, R9; MOVQ R14, 56+z; \ + MULXQ 40+x, AX, CX; ADCXQ AX, R9; ADOXQ CX, R10; MOVQ $0, R14; \ + MULXQ 48+x, AX, CX; ADCXQ AX, R10; ADOXQ CX, R11; \ + ;;;;;;;;;;;;;;;;;;; ADCXQ R12,R11; \ + \ + MOVQ 32+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 32+x, R8; \ + ADDQ AX, R9; MOVQ R9, 64+z; \ + ADCQ CX, R8; \ + ADCQ $0, R11; \ + ADDQ 32+x, DX; \ + ADCQ $0, R15; \ + XORL R9, R9; ;;;;;;;;;;;;;;;;;;;;; ADOXQ R8, R10; \ + MULXQ 40+x, AX, CX; ADCXQ AX, R10; ADOXQ CX, R11; MOVQ R10, 72+z; \ + MULXQ 48+x, AX, CX; ADCXQ AX, R11; ADOXQ CX, R12; \ + ;;;;;;;;;;;;;;;;;;; ADCXQ R13,R12; \ + \ + MOVQ 40+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 40+x, R8; \ + ADDQ AX, R11; MOVQ R11, 80+z; \ + ADCQ CX, R8; \ + ADCQ $0, R13; \ + ADDQ 40+x, DX; \ + ADCQ $0, R15; \ + XORL R11, R11; ;;;;;;;;;;;;;;;;;;; ADOXQ R8, R12; \ + MULXQ 48+x, AX, CX; ADCXQ AX, R12; ADOXQ CX, R13; MOVQ R12, 88+z; \ + ;;;;;;;;;;;;;;;;;;; ADCXQ R14,R13; \ + \ + MOVQ 48+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 48+x, R8; \ + XORL R10, R10; ;;;;;;;;;;;;;; ADOXQ CX, R14; \ + ;;;;;;;;;;;;;; ADCXQ AX, R13; ;;;;;;;;;;;;;; MOVQ R13, 96+z; \ + ;;;;;;;;;;;;;; ADCXQ R8, R14; MOVQ R14, 104+z; + +// reduceFromDoubleLeg finds a z=x modulo p such that z<2^448 and stores in z +// Uses: AX, R8-R15, FLAGS +// Instr: x86_64 +#define reduceFromDoubleLeg(z,x) \ + /* ( ,2C13,2C12,2C11,2C10|C10,C9,C8, C7) + (C6,...,C0) */ \ + /* (r14, r13, r12, r11, r10,r9,r8,r15) */ \ + MOVQ 80+x,AX; MOVQ AX,R10; \ + MOVQ $0xFFFFFFFF00000000, R8; \ + ANDQ R8,R10; \ + \ + MOVQ $0,R14; \ + MOVQ 104+x,R13; SHLQ $1,R13,R14; \ + MOVQ 96+x,R12; SHLQ $1,R12,R13; \ + MOVQ 88+x,R11; SHLQ $1,R11,R12; \ + MOVQ 72+x, R9; SHLQ $1,R10,R11; \ + MOVQ 64+x, R8; SHLQ $1,R10; \ + MOVQ $0xFFFFFFFF,R15; ANDQ R15,AX; ORQ AX,R10; \ + MOVQ 56+x,R15; \ + \ + ADDQ 0+x,R15; MOVQ R15, 0+z; MOVQ 56+x,R15; \ + ADCQ 8+x, R8; MOVQ R8, 8+z; MOVQ 64+x, R8; \ + ADCQ 16+x, R9; MOVQ R9,16+z; MOVQ 72+x, R9; \ + ADCQ 24+x,R10; MOVQ R10,24+z; MOVQ 80+x,R10; \ + ADCQ 32+x,R11; MOVQ R11,32+z; MOVQ 88+x,R11; \ + ADCQ 40+x,R12; MOVQ R12,40+z; MOVQ 96+x,R12; \ + ADCQ 48+x,R13; MOVQ R13,48+z; MOVQ 104+x,R13; \ + ADCQ $0,R14; \ + /* (c10c9,c9c8,c8c7,c7c13,c13c12,c12c11,c11c10) + (c6,...,c0) */ \ + /* ( r9, r8, r15, r13, r12, r11, r10) */ \ + MOVQ R10, AX; \ + SHRQ $32,R11,R10; \ + SHRQ $32,R12,R11; \ + SHRQ $32,R13,R12; \ + SHRQ $32,R15,R13; \ + SHRQ $32, R8,R15; \ + SHRQ $32, R9, R8; \ + SHRQ $32, AX, R9; \ + \ + ADDQ 0+z,R10; \ + ADCQ 8+z,R11; \ + ADCQ 16+z,R12; \ + ADCQ 24+z,R13; \ + ADCQ 32+z,R15; \ + ADCQ 40+z, R8; \ + ADCQ 48+z, R9; \ + ADCQ $0,R14; \ + /* ( c7) + (c6,...,c0) */ \ + /* (r14) */ \ + MOVQ R14, AX; SHLQ $32, AX; \ + ADDQ R14,R10; MOVQ $0,R14; \ + ADCQ $0,R11; \ + ADCQ $0,R12; \ + ADCQ AX,R13; \ + ADCQ $0,R15; \ + ADCQ $0, R8; \ + ADCQ $0, R9; \ + ADCQ $0,R14; \ + /* ( c7) + (c6,...,c0) */ \ + /* (r14) */ \ + MOVQ R14, AX; SHLQ $32,AX; \ + ADDQ R14,R10; MOVQ R10, 0+z; \ + ADCQ $0,R11; MOVQ R11, 8+z; \ + ADCQ $0,R12; MOVQ R12,16+z; \ + ADCQ AX,R13; MOVQ R13,24+z; \ + ADCQ $0,R15; MOVQ R15,32+z; \ + ADCQ $0, R8; MOVQ R8,40+z; \ + ADCQ $0, R9; MOVQ R9,48+z; + +// reduceFromDoubleAdx finds a z=x modulo p such that z<2^448 and stores in z +// Uses: AX, R8-R15, FLAGS +// Instr: x86_64, adx +#define reduceFromDoubleAdx(z,x) \ + /* ( ,2C13,2C12,2C11,2C10|C10,C9,C8, C7) + (C6,...,C0) */ \ + /* (r14, r13, r12, r11, r10,r9,r8,r15) */ \ + MOVQ 80+x,AX; MOVQ AX,R10; \ + MOVQ $0xFFFFFFFF00000000, R8; \ + ANDQ R8,R10; \ + \ + MOVQ $0,R14; \ + MOVQ 104+x,R13; SHLQ $1,R13,R14; \ + MOVQ 96+x,R12; SHLQ $1,R12,R13; \ + MOVQ 88+x,R11; SHLQ $1,R11,R12; \ + MOVQ 72+x, R9; SHLQ $1,R10,R11; \ + MOVQ 64+x, R8; SHLQ $1,R10; \ + MOVQ $0xFFFFFFFF,R15; ANDQ R15,AX; ORQ AX,R10; \ + MOVQ 56+x,R15; \ + \ + XORL AX,AX; \ + ADCXQ 0+x,R15; MOVQ R15, 0+z; MOVQ 56+x,R15; \ + ADCXQ 8+x, R8; MOVQ R8, 8+z; MOVQ 64+x, R8; \ + ADCXQ 16+x, R9; MOVQ R9,16+z; MOVQ 72+x, R9; \ + ADCXQ 24+x,R10; MOVQ R10,24+z; MOVQ 80+x,R10; \ + ADCXQ 32+x,R11; MOVQ R11,32+z; MOVQ 88+x,R11; \ + ADCXQ 40+x,R12; MOVQ R12,40+z; MOVQ 96+x,R12; \ + ADCXQ 48+x,R13; MOVQ R13,48+z; MOVQ 104+x,R13; \ + ADCXQ AX,R14; \ + /* (c10c9,c9c8,c8c7,c7c13,c13c12,c12c11,c11c10) + (c6,...,c0) */ \ + /* ( r9, r8, r15, r13, r12, r11, r10) */ \ + MOVQ R10, AX; \ + SHRQ $32,R11,R10; \ + SHRQ $32,R12,R11; \ + SHRQ $32,R13,R12; \ + SHRQ $32,R15,R13; \ + SHRQ $32, R8,R15; \ + SHRQ $32, R9, R8; \ + SHRQ $32, AX, R9; \ + \ + XORL AX,AX; \ + ADCXQ 0+z,R10; \ + ADCXQ 8+z,R11; \ + ADCXQ 16+z,R12; \ + ADCXQ 24+z,R13; \ + ADCXQ 32+z,R15; \ + ADCXQ 40+z, R8; \ + ADCXQ 48+z, R9; \ + ADCXQ AX,R14; \ + /* ( c7) + (c6,...,c0) */ \ + /* (r14) */ \ + MOVQ R14, AX; SHLQ $32, AX; \ + CLC; \ + ADCXQ R14,R10; MOVQ $0,R14; \ + ADCXQ R14,R11; \ + ADCXQ R14,R12; \ + ADCXQ AX,R13; \ + ADCXQ R14,R15; \ + ADCXQ R14, R8; \ + ADCXQ R14, R9; \ + ADCXQ R14,R14; \ + /* ( c7) + (c6,...,c0) */ \ + /* (r14) */ \ + MOVQ R14, AX; SHLQ $32, AX; \ + CLC; \ + ADCXQ R14,R10; MOVQ R10, 0+z; MOVQ $0,R14; \ + ADCXQ R14,R11; MOVQ R11, 8+z; \ + ADCXQ R14,R12; MOVQ R12,16+z; \ + ADCXQ AX,R13; MOVQ R13,24+z; \ + ADCXQ R14,R15; MOVQ R15,32+z; \ + ADCXQ R14, R8; MOVQ R8,40+z; \ + ADCXQ R14, R9; MOVQ R9,48+z; + +// addSub calculates two operations: x,y = x+y,x-y +// Uses: AX, DX, R8-R15, FLAGS +#define addSub(x,y) \ + MOVQ 0+x, R8; ADDQ 0+y, R8; \ + MOVQ 8+x, R9; ADCQ 8+y, R9; \ + MOVQ 16+x, R10; ADCQ 16+y, R10; \ + MOVQ 24+x, R11; ADCQ 24+y, R11; \ + MOVQ 32+x, R12; ADCQ 32+y, R12; \ + MOVQ 40+x, R13; ADCQ 40+y, R13; \ + MOVQ 48+x, R14; ADCQ 48+y, R14; \ + MOVQ $0, AX; ADCQ $0, AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + ADDQ AX, R8; MOVQ $0, AX; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ DX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + ADCQ $0, AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + ADDQ AX, R8; MOVQ 0+x,AX; MOVQ R8, 0+x; MOVQ AX, R8; \ + ADCQ $0, R9; MOVQ 8+x,AX; MOVQ R9, 8+x; MOVQ AX, R9; \ + ADCQ $0, R10; MOVQ 16+x,AX; MOVQ R10, 16+x; MOVQ AX, R10; \ + ADCQ DX, R11; MOVQ 24+x,AX; MOVQ R11, 24+x; MOVQ AX, R11; \ + ADCQ $0, R12; MOVQ 32+x,AX; MOVQ R12, 32+x; MOVQ AX, R12; \ + ADCQ $0, R13; MOVQ 40+x,AX; MOVQ R13, 40+x; MOVQ AX, R13; \ + ADCQ $0, R14; MOVQ 48+x,AX; MOVQ R14, 48+x; MOVQ AX, R14; \ + SUBQ 0+y, R8; \ + SBBQ 8+y, R9; \ + SBBQ 16+y, R10; \ + SBBQ 24+y, R11; \ + SBBQ 32+y, R12; \ + SBBQ 40+y, R13; \ + SBBQ 48+y, R14; \ + MOVQ $0, AX; SETCS AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + SUBQ AX, R8; MOVQ $0, AX; \ + SBBQ $0, R9; \ + SBBQ $0, R10; \ + SBBQ DX, R11; \ + SBBQ $0, R12; \ + SBBQ $0, R13; \ + SBBQ $0, R14; \ + SETCS AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + SUBQ AX, R8; MOVQ R8, 0+y; \ + SBBQ $0, R9; MOVQ R9, 8+y; \ + SBBQ $0, R10; MOVQ R10, 16+y; \ + SBBQ DX, R11; MOVQ R11, 24+y; \ + SBBQ $0, R12; MOVQ R12, 32+y; \ + SBBQ $0, R13; MOVQ R13, 40+y; \ + SBBQ $0, R14; MOVQ R14, 48+y; diff --git a/vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.s b/vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.s new file mode 100644 index 0000000000..435addf5e6 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.s @@ -0,0 +1,74 @@ +// +build amd64 + +#include "textflag.h" +#include "fp_amd64.h" + +// func cmovAmd64(x, y *Elt, n uint) +TEXT ·cmovAmd64(SB),NOSPLIT,$0-24 + MOVQ x+0(FP), DI + MOVQ y+8(FP), SI + MOVQ n+16(FP), BX + cselect(0(DI),0(SI),BX) + RET + +// func cswapAmd64(x, y *Elt, n uint) +TEXT ·cswapAmd64(SB),NOSPLIT,$0-24 + MOVQ x+0(FP), DI + MOVQ y+8(FP), SI + MOVQ n+16(FP), BX + cswap(0(DI),0(SI),BX) + RET + +// func subAmd64(z, x, y *Elt) +TEXT ·subAmd64(SB),NOSPLIT,$0-24 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + MOVQ y+16(FP), BX + subtraction(0(DI),0(SI),0(BX)) + RET + +// func addsubAmd64(x, y *Elt) +TEXT ·addsubAmd64(SB),NOSPLIT,$0-16 + MOVQ x+0(FP), DI + MOVQ y+8(FP), SI + addSub(0(DI),0(SI)) + RET + +#define addLegacy \ + additionLeg(0(DI),0(SI),0(BX)) +#define addBmi2Adx \ + additionAdx(0(DI),0(SI),0(BX)) + +#define mulLegacy \ + integerMulLeg(0(SP),0(SI),0(BX)) \ + reduceFromDoubleLeg(0(DI),0(SP)) +#define mulBmi2Adx \ + integerMulAdx(0(SP),0(SI),0(BX)) \ + reduceFromDoubleAdx(0(DI),0(SP)) + +#define sqrLegacy \ + integerSqrLeg(0(SP),0(SI)) \ + reduceFromDoubleLeg(0(DI),0(SP)) +#define sqrBmi2Adx \ + integerSqrAdx(0(SP),0(SI)) \ + reduceFromDoubleAdx(0(DI),0(SP)) + +// func addAmd64(z, x, y *Elt) +TEXT ·addAmd64(SB),NOSPLIT,$0-24 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + MOVQ y+16(FP), BX + CHECK_BMI2ADX(LADD, addLegacy, addBmi2Adx) + +// func mulAmd64(z, x, y *Elt) +TEXT ·mulAmd64(SB),NOSPLIT,$112-24 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + MOVQ y+16(FP), BX + CHECK_BMI2ADX(LMUL, mulLegacy, mulBmi2Adx) + +// func sqrAmd64(z, x *Elt) +TEXT ·sqrAmd64(SB),NOSPLIT,$112-16 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + CHECK_BMI2ADX(LSQR, sqrLegacy, sqrBmi2Adx) diff --git a/vendor/github.com/cloudflare/circl/math/fp448/fp_generic.go b/vendor/github.com/cloudflare/circl/math/fp448/fp_generic.go new file mode 100644 index 0000000000..47a0b63205 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp448/fp_generic.go @@ -0,0 +1,339 @@ +package fp448 + +import ( + "encoding/binary" + "math/bits" +) + +func cmovGeneric(x, y *Elt, n uint) { + m := -uint64(n & 0x1) + x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8]) + x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8]) + x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8]) + x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8]) + x4 := binary.LittleEndian.Uint64(x[4*8 : 5*8]) + x5 := binary.LittleEndian.Uint64(x[5*8 : 6*8]) + x6 := binary.LittleEndian.Uint64(x[6*8 : 7*8]) + + y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8]) + y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8]) + y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8]) + y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8]) + y4 := binary.LittleEndian.Uint64(y[4*8 : 5*8]) + y5 := binary.LittleEndian.Uint64(y[5*8 : 6*8]) + y6 := binary.LittleEndian.Uint64(y[6*8 : 7*8]) + + x0 = (x0 &^ m) | (y0 & m) + x1 = (x1 &^ m) | (y1 & m) + x2 = (x2 &^ m) | (y2 & m) + x3 = (x3 &^ m) | (y3 & m) + x4 = (x4 &^ m) | (y4 & m) + x5 = (x5 &^ m) | (y5 & m) + x6 = (x6 &^ m) | (y6 & m) + + binary.LittleEndian.PutUint64(x[0*8:1*8], x0) + binary.LittleEndian.PutUint64(x[1*8:2*8], x1) + binary.LittleEndian.PutUint64(x[2*8:3*8], x2) + binary.LittleEndian.PutUint64(x[3*8:4*8], x3) + binary.LittleEndian.PutUint64(x[4*8:5*8], x4) + binary.LittleEndian.PutUint64(x[5*8:6*8], x5) + binary.LittleEndian.PutUint64(x[6*8:7*8], x6) +} + +func cswapGeneric(x, y *Elt, n uint) { + m := -uint64(n & 0x1) + x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8]) + x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8]) + x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8]) + x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8]) + x4 := binary.LittleEndian.Uint64(x[4*8 : 5*8]) + x5 := binary.LittleEndian.Uint64(x[5*8 : 6*8]) + x6 := binary.LittleEndian.Uint64(x[6*8 : 7*8]) + + y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8]) + y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8]) + y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8]) + y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8]) + y4 := binary.LittleEndian.Uint64(y[4*8 : 5*8]) + y5 := binary.LittleEndian.Uint64(y[5*8 : 6*8]) + y6 := binary.LittleEndian.Uint64(y[6*8 : 7*8]) + + t0 := m & (x0 ^ y0) + t1 := m & (x1 ^ y1) + t2 := m & (x2 ^ y2) + t3 := m & (x3 ^ y3) + t4 := m & (x4 ^ y4) + t5 := m & (x5 ^ y5) + t6 := m & (x6 ^ y6) + x0 ^= t0 + x1 ^= t1 + x2 ^= t2 + x3 ^= t3 + x4 ^= t4 + x5 ^= t5 + x6 ^= t6 + y0 ^= t0 + y1 ^= t1 + y2 ^= t2 + y3 ^= t3 + y4 ^= t4 + y5 ^= t5 + y6 ^= t6 + + binary.LittleEndian.PutUint64(x[0*8:1*8], x0) + binary.LittleEndian.PutUint64(x[1*8:2*8], x1) + binary.LittleEndian.PutUint64(x[2*8:3*8], x2) + binary.LittleEndian.PutUint64(x[3*8:4*8], x3) + binary.LittleEndian.PutUint64(x[4*8:5*8], x4) + binary.LittleEndian.PutUint64(x[5*8:6*8], x5) + binary.LittleEndian.PutUint64(x[6*8:7*8], x6) + + binary.LittleEndian.PutUint64(y[0*8:1*8], y0) + binary.LittleEndian.PutUint64(y[1*8:2*8], y1) + binary.LittleEndian.PutUint64(y[2*8:3*8], y2) + binary.LittleEndian.PutUint64(y[3*8:4*8], y3) + binary.LittleEndian.PutUint64(y[4*8:5*8], y4) + binary.LittleEndian.PutUint64(y[5*8:6*8], y5) + binary.LittleEndian.PutUint64(y[6*8:7*8], y6) +} + +func addGeneric(z, x, y *Elt) { + x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8]) + x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8]) + x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8]) + x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8]) + x4 := binary.LittleEndian.Uint64(x[4*8 : 5*8]) + x5 := binary.LittleEndian.Uint64(x[5*8 : 6*8]) + x6 := binary.LittleEndian.Uint64(x[6*8 : 7*8]) + + y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8]) + y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8]) + y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8]) + y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8]) + y4 := binary.LittleEndian.Uint64(y[4*8 : 5*8]) + y5 := binary.LittleEndian.Uint64(y[5*8 : 6*8]) + y6 := binary.LittleEndian.Uint64(y[6*8 : 7*8]) + + z0, c0 := bits.Add64(x0, y0, 0) + z1, c1 := bits.Add64(x1, y1, c0) + z2, c2 := bits.Add64(x2, y2, c1) + z3, c3 := bits.Add64(x3, y3, c2) + z4, c4 := bits.Add64(x4, y4, c3) + z5, c5 := bits.Add64(x5, y5, c4) + z6, z7 := bits.Add64(x6, y6, c5) + + z0, c0 = bits.Add64(z0, z7, 0) + z1, c1 = bits.Add64(z1, 0, c0) + z2, c2 = bits.Add64(z2, 0, c1) + z3, c3 = bits.Add64(z3, z7<<32, c2) + z4, c4 = bits.Add64(z4, 0, c3) + z5, c5 = bits.Add64(z5, 0, c4) + z6, z7 = bits.Add64(z6, 0, c5) + + z0, c0 = bits.Add64(z0, z7, 0) + z1, c1 = bits.Add64(z1, 0, c0) + z2, c2 = bits.Add64(z2, 0, c1) + z3, c3 = bits.Add64(z3, z7<<32, c2) + z4, c4 = bits.Add64(z4, 0, c3) + z5, c5 = bits.Add64(z5, 0, c4) + z6, _ = bits.Add64(z6, 0, c5) + + binary.LittleEndian.PutUint64(z[0*8:1*8], z0) + binary.LittleEndian.PutUint64(z[1*8:2*8], z1) + binary.LittleEndian.PutUint64(z[2*8:3*8], z2) + binary.LittleEndian.PutUint64(z[3*8:4*8], z3) + binary.LittleEndian.PutUint64(z[4*8:5*8], z4) + binary.LittleEndian.PutUint64(z[5*8:6*8], z5) + binary.LittleEndian.PutUint64(z[6*8:7*8], z6) +} + +func subGeneric(z, x, y *Elt) { + x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8]) + x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8]) + x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8]) + x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8]) + x4 := binary.LittleEndian.Uint64(x[4*8 : 5*8]) + x5 := binary.LittleEndian.Uint64(x[5*8 : 6*8]) + x6 := binary.LittleEndian.Uint64(x[6*8 : 7*8]) + + y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8]) + y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8]) + y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8]) + y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8]) + y4 := binary.LittleEndian.Uint64(y[4*8 : 5*8]) + y5 := binary.LittleEndian.Uint64(y[5*8 : 6*8]) + y6 := binary.LittleEndian.Uint64(y[6*8 : 7*8]) + + z0, c0 := bits.Sub64(x0, y0, 0) + z1, c1 := bits.Sub64(x1, y1, c0) + z2, c2 := bits.Sub64(x2, y2, c1) + z3, c3 := bits.Sub64(x3, y3, c2) + z4, c4 := bits.Sub64(x4, y4, c3) + z5, c5 := bits.Sub64(x5, y5, c4) + z6, z7 := bits.Sub64(x6, y6, c5) + + z0, c0 = bits.Sub64(z0, z7, 0) + z1, c1 = bits.Sub64(z1, 0, c0) + z2, c2 = bits.Sub64(z2, 0, c1) + z3, c3 = bits.Sub64(z3, z7<<32, c2) + z4, c4 = bits.Sub64(z4, 0, c3) + z5, c5 = bits.Sub64(z5, 0, c4) + z6, z7 = bits.Sub64(z6, 0, c5) + + z0, c0 = bits.Sub64(z0, z7, 0) + z1, c1 = bits.Sub64(z1, 0, c0) + z2, c2 = bits.Sub64(z2, 0, c1) + z3, c3 = bits.Sub64(z3, z7<<32, c2) + z4, c4 = bits.Sub64(z4, 0, c3) + z5, c5 = bits.Sub64(z5, 0, c4) + z6, _ = bits.Sub64(z6, 0, c5) + + binary.LittleEndian.PutUint64(z[0*8:1*8], z0) + binary.LittleEndian.PutUint64(z[1*8:2*8], z1) + binary.LittleEndian.PutUint64(z[2*8:3*8], z2) + binary.LittleEndian.PutUint64(z[3*8:4*8], z3) + binary.LittleEndian.PutUint64(z[4*8:5*8], z4) + binary.LittleEndian.PutUint64(z[5*8:6*8], z5) + binary.LittleEndian.PutUint64(z[6*8:7*8], z6) +} + +func addsubGeneric(x, y *Elt) { + z := &Elt{} + addGeneric(z, x, y) + subGeneric(y, x, y) + *x = *z +} + +func mulGeneric(z, x, y *Elt) { + x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8]) + x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8]) + x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8]) + x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8]) + x4 := binary.LittleEndian.Uint64(x[4*8 : 5*8]) + x5 := binary.LittleEndian.Uint64(x[5*8 : 6*8]) + x6 := binary.LittleEndian.Uint64(x[6*8 : 7*8]) + + y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8]) + y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8]) + y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8]) + y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8]) + y4 := binary.LittleEndian.Uint64(y[4*8 : 5*8]) + y5 := binary.LittleEndian.Uint64(y[5*8 : 6*8]) + y6 := binary.LittleEndian.Uint64(y[6*8 : 7*8]) + + yy := [7]uint64{y0, y1, y2, y3, y4, y5, y6} + zz := [7]uint64{} + + yi := yy[0] + h0, l0 := bits.Mul64(x0, yi) + h1, l1 := bits.Mul64(x1, yi) + h2, l2 := bits.Mul64(x2, yi) + h3, l3 := bits.Mul64(x3, yi) + h4, l4 := bits.Mul64(x4, yi) + h5, l5 := bits.Mul64(x5, yi) + h6, l6 := bits.Mul64(x6, yi) + + zz[0] = l0 + a0, c0 := bits.Add64(h0, l1, 0) + a1, c1 := bits.Add64(h1, l2, c0) + a2, c2 := bits.Add64(h2, l3, c1) + a3, c3 := bits.Add64(h3, l4, c2) + a4, c4 := bits.Add64(h4, l5, c3) + a5, c5 := bits.Add64(h5, l6, c4) + a6, _ := bits.Add64(h6, 0, c5) + + for i := 1; i < 7; i++ { + yi = yy[i] + h0, l0 = bits.Mul64(x0, yi) + h1, l1 = bits.Mul64(x1, yi) + h2, l2 = bits.Mul64(x2, yi) + h3, l3 = bits.Mul64(x3, yi) + h4, l4 = bits.Mul64(x4, yi) + h5, l5 = bits.Mul64(x5, yi) + h6, l6 = bits.Mul64(x6, yi) + + zz[i], c0 = bits.Add64(a0, l0, 0) + a0, c1 = bits.Add64(a1, l1, c0) + a1, c2 = bits.Add64(a2, l2, c1) + a2, c3 = bits.Add64(a3, l3, c2) + a3, c4 = bits.Add64(a4, l4, c3) + a4, c5 = bits.Add64(a5, l5, c4) + a5, a6 = bits.Add64(a6, l6, c5) + + a0, c0 = bits.Add64(a0, h0, 0) + a1, c1 = bits.Add64(a1, h1, c0) + a2, c2 = bits.Add64(a2, h2, c1) + a3, c3 = bits.Add64(a3, h3, c2) + a4, c4 = bits.Add64(a4, h4, c3) + a5, c5 = bits.Add64(a5, h5, c4) + a6, _ = bits.Add64(a6, h6, c5) + } + red64(z, &zz, &[7]uint64{a0, a1, a2, a3, a4, a5, a6}) +} + +func sqrGeneric(z, x *Elt) { mulGeneric(z, x, x) } + +func red64(z *Elt, l, h *[7]uint64) { + /* (2C13, 2C12, 2C11, 2C10|C10, C9, C8, C7) + (C6,...,C0) */ + h0 := h[0] + h1 := h[1] + h2 := h[2] + h3 := ((h[3] & (0xFFFFFFFF << 32)) << 1) | (h[3] & 0xFFFFFFFF) + h4 := (h[3] >> 63) | (h[4] << 1) + h5 := (h[4] >> 63) | (h[5] << 1) + h6 := (h[5] >> 63) | (h[6] << 1) + h7 := (h[6] >> 63) + + l0, c0 := bits.Add64(h0, l[0], 0) + l1, c1 := bits.Add64(h1, l[1], c0) + l2, c2 := bits.Add64(h2, l[2], c1) + l3, c3 := bits.Add64(h3, l[3], c2) + l4, c4 := bits.Add64(h4, l[4], c3) + l5, c5 := bits.Add64(h5, l[5], c4) + l6, c6 := bits.Add64(h6, l[6], c5) + l7, _ := bits.Add64(h7, 0, c6) + + /* (C10C9, C9C8,C8C7,C7C13,C13C12,C12C11,C11C10) + (C6,...,C0) */ + h0 = (h[3] >> 32) | (h[4] << 32) + h1 = (h[4] >> 32) | (h[5] << 32) + h2 = (h[5] >> 32) | (h[6] << 32) + h3 = (h[6] >> 32) | (h[0] << 32) + h4 = (h[0] >> 32) | (h[1] << 32) + h5 = (h[1] >> 32) | (h[2] << 32) + h6 = (h[2] >> 32) | (h[3] << 32) + + l0, c0 = bits.Add64(l0, h0, 0) + l1, c1 = bits.Add64(l1, h1, c0) + l2, c2 = bits.Add64(l2, h2, c1) + l3, c3 = bits.Add64(l3, h3, c2) + l4, c4 = bits.Add64(l4, h4, c3) + l5, c5 = bits.Add64(l5, h5, c4) + l6, c6 = bits.Add64(l6, h6, c5) + l7, _ = bits.Add64(l7, 0, c6) + + /* (C7) + (C6,...,C0) */ + l0, c0 = bits.Add64(l0, l7, 0) + l1, c1 = bits.Add64(l1, 0, c0) + l2, c2 = bits.Add64(l2, 0, c1) + l3, c3 = bits.Add64(l3, l7<<32, c2) + l4, c4 = bits.Add64(l4, 0, c3) + l5, c5 = bits.Add64(l5, 0, c4) + l6, l7 = bits.Add64(l6, 0, c5) + + /* (C7) + (C6,...,C0) */ + l0, c0 = bits.Add64(l0, l7, 0) + l1, c1 = bits.Add64(l1, 0, c0) + l2, c2 = bits.Add64(l2, 0, c1) + l3, c3 = bits.Add64(l3, l7<<32, c2) + l4, c4 = bits.Add64(l4, 0, c3) + l5, c5 = bits.Add64(l5, 0, c4) + l6, _ = bits.Add64(l6, 0, c5) + + binary.LittleEndian.PutUint64(z[0*8:1*8], l0) + binary.LittleEndian.PutUint64(z[1*8:2*8], l1) + binary.LittleEndian.PutUint64(z[2*8:3*8], l2) + binary.LittleEndian.PutUint64(z[3*8:4*8], l3) + binary.LittleEndian.PutUint64(z[4*8:5*8], l4) + binary.LittleEndian.PutUint64(z[5*8:6*8], l5) + binary.LittleEndian.PutUint64(z[6*8:7*8], l6) +} diff --git a/vendor/github.com/cloudflare/circl/math/fp448/fp_noasm.go b/vendor/github.com/cloudflare/circl/math/fp448/fp_noasm.go new file mode 100644 index 0000000000..a62225d296 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp448/fp_noasm.go @@ -0,0 +1,12 @@ +//go:build !amd64 || purego +// +build !amd64 purego + +package fp448 + +func cmov(x, y *Elt, n uint) { cmovGeneric(x, y, n) } +func cswap(x, y *Elt, n uint) { cswapGeneric(x, y, n) } +func add(z, x, y *Elt) { addGeneric(z, x, y) } +func sub(z, x, y *Elt) { subGeneric(z, x, y) } +func addsub(x, y *Elt) { addsubGeneric(x, y) } +func mul(z, x, y *Elt) { mulGeneric(z, x, y) } +func sqr(z, x *Elt) { sqrGeneric(z, x) } diff --git a/vendor/github.com/cloudflare/circl/math/fp448/fuzzer.go b/vendor/github.com/cloudflare/circl/math/fp448/fuzzer.go new file mode 100644 index 0000000000..d1f62432ea --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/fp448/fuzzer.go @@ -0,0 +1,74 @@ +//go:build gofuzz +// +build gofuzz + +// How to run the fuzzer: +// $ go get -u github.com/dvyukov/go-fuzz/go-fuzz +// $ go get -u github.com/dvyukov/go-fuzz/go-fuzz-build +// $ go-fuzz-build -libfuzzer -func FuzzReduction -o lib.a +// $ clang -fsanitize=fuzzer lib.a -o fu.exe +// $ ./fu.exe +package fp448 + +import ( + "encoding/binary" + "fmt" + "math/big" + + "github.com/cloudflare/circl/internal/conv" +) + +// FuzzReduction is a fuzzer target for red64 function, which reduces t +// (112 bits) to a number t' (56 bits) congruent modulo p448. +func FuzzReduction(data []byte) int { + if len(data) != 2*Size { + return -1 + } + var got, want Elt + var lo, hi [7]uint64 + a := data[:Size] + b := data[Size:] + lo[0] = binary.LittleEndian.Uint64(a[0*8 : 1*8]) + lo[1] = binary.LittleEndian.Uint64(a[1*8 : 2*8]) + lo[2] = binary.LittleEndian.Uint64(a[2*8 : 3*8]) + lo[3] = binary.LittleEndian.Uint64(a[3*8 : 4*8]) + lo[4] = binary.LittleEndian.Uint64(a[4*8 : 5*8]) + lo[5] = binary.LittleEndian.Uint64(a[5*8 : 6*8]) + lo[6] = binary.LittleEndian.Uint64(a[6*8 : 7*8]) + + hi[0] = binary.LittleEndian.Uint64(b[0*8 : 1*8]) + hi[1] = binary.LittleEndian.Uint64(b[1*8 : 2*8]) + hi[2] = binary.LittleEndian.Uint64(b[2*8 : 3*8]) + hi[3] = binary.LittleEndian.Uint64(b[3*8 : 4*8]) + hi[4] = binary.LittleEndian.Uint64(b[4*8 : 5*8]) + hi[5] = binary.LittleEndian.Uint64(b[5*8 : 6*8]) + hi[6] = binary.LittleEndian.Uint64(b[6*8 : 7*8]) + + red64(&got, &lo, &hi) + + t := conv.BytesLe2BigInt(data[:2*Size]) + + two448 := big.NewInt(1) + two448.Lsh(two448, 448) // 2^448 + mask448 := big.NewInt(1) + mask448.Sub(two448, mask448) // 2^448-1 + two224plus1 := big.NewInt(1) + two224plus1.Lsh(two224plus1, 224) + two224plus1.Add(two224plus1, big.NewInt(1)) // 2^224+1 + + var loBig, hiBig big.Int + for t.Cmp(two448) >= 0 { + loBig.And(t, mask448) + hiBig.Rsh(t, 448) + t.Mul(&hiBig, two224plus1) + t.Add(t, &loBig) + } + conv.BigInt2BytesLe(want[:], t) + + if got != want { + fmt.Printf("in: %v\n", conv.BytesLe2BigInt(data[:2*Size])) + fmt.Printf("got: %v\n", got) + fmt.Printf("want: %v\n", want) + panic("error found") + } + return 1 +} diff --git a/vendor/github.com/cloudflare/circl/math/mlsbset/mlsbset.go b/vendor/github.com/cloudflare/circl/math/mlsbset/mlsbset.go new file mode 100644 index 0000000000..59e9fb4b60 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/mlsbset/mlsbset.go @@ -0,0 +1,122 @@ +// Package mlsbset provides a constant-time exponentiation method with precomputation. +// +// References: "Efficient and secure algorithms for GLV-based scalar +// multiplication and their implementation on GLV–GLS curves" by (Faz-Hernandez et al.) +// - https://doi.org/10.1007/s13389-014-0085-7 +// - https://eprint.iacr.org/2013/158 +package mlsbset + +import ( + "errors" + "fmt" + "math/big" + + "github.com/cloudflare/circl/internal/conv" +) + +// EltG is a group element. +type EltG interface{} + +// EltP is a precomputed group element. +type EltP interface{} + +// Group defines the operations required by MLSBSet exponentiation method. +type Group interface { + Identity() EltG // Returns the identity of the group. + Sqr(x EltG) // Calculates x = x^2. + Mul(x EltG, y EltP) // Calculates x = x*y. + NewEltP() EltP // Returns an arbitrary precomputed element. + ExtendedEltP() EltP // Returns the precomputed element x^(2^(w*d)). + Lookup(a EltP, v uint, s, u int32) // Sets a = s*T[v][u]. +} + +// Params contains the parameters of the encoding. +type Params struct { + T uint // T is the maximum size (in bits) of exponents. + V uint // V is the number of tables. + W uint // W is the window size. + E uint // E is the number of digits per table. + D uint // D is the number of digits in total. + L uint // L is the length of the code. +} + +// Encoder allows to convert integers into valid powers. +type Encoder struct{ p Params } + +// New produces an encoder of the MLSBSet algorithm. +func New(t, v, w uint) (Encoder, error) { + if !(t > 1 && v >= 1 && w >= 2) { + return Encoder{}, errors.New("t>1, v>=1, w>=2") + } + e := (t + w*v - 1) / (w * v) + d := e * v + l := d * w + return Encoder{Params{t, v, w, e, d, l}}, nil +} + +// Encode converts an odd integer k into a valid power for exponentiation. +func (m Encoder) Encode(k []byte) (*Power, error) { + if len(k) == 0 { + return nil, errors.New("empty slice") + } + if !(len(k) <= int(m.p.L+7)>>3) { + return nil, errors.New("k too big") + } + if k[0]%2 == 0 { + return nil, errors.New("k must be odd") + } + ap := int((m.p.L+7)/8) - len(k) + k = append(k, make([]byte, ap)...) + s := m.signs(k) + b := make([]int32, m.p.L-m.p.D) + c := conv.BytesLe2BigInt(k) + c.Rsh(c, m.p.D) + var bi big.Int + for i := m.p.D; i < m.p.L; i++ { + c0 := int32(c.Bit(0)) + b[i-m.p.D] = s[i%m.p.D] * c0 + bi.SetInt64(int64(b[i-m.p.D] >> 1)) + c.Rsh(c, 1) + c.Sub(c, &bi) + } + carry := int(c.Int64()) + return &Power{m, s, b, carry}, nil +} + +// signs calculates the set of signs. +func (m Encoder) signs(k []byte) []int32 { + s := make([]int32, m.p.D) + s[m.p.D-1] = 1 + for i := uint(1); i < m.p.D; i++ { + ki := int32((k[i>>3] >> (i & 0x7)) & 0x1) + s[i-1] = 2*ki - 1 + } + return s +} + +// GetParams returns the complementary parameters of the encoding. +func (m Encoder) GetParams() Params { return m.p } + +// tableSize returns the size of each table. +func (m Encoder) tableSize() uint { return 1 << (m.p.W - 1) } + +// Elts returns the total number of elements that must be precomputed. +func (m Encoder) Elts() uint { return m.p.V * m.tableSize() } + +// IsExtended returns true if the element x^(2^(wd)) must be calculated. +func (m Encoder) IsExtended() bool { q := m.p.T / (m.p.V * m.p.W); return m.p.T == q*m.p.V*m.p.W } + +// Ops returns the number of squares and multiplications executed during an exponentiation. +func (m Encoder) Ops() (S uint, M uint) { + S = m.p.E + M = m.p.E * m.p.V + if m.IsExtended() { + M++ + } + return +} + +func (m Encoder) String() string { + return fmt.Sprintf("T: %v W: %v V: %v e: %v d: %v l: %v wv|t: %v", + m.p.T, m.p.W, m.p.V, m.p.E, m.p.D, m.p.L, m.IsExtended()) +} diff --git a/vendor/github.com/cloudflare/circl/math/mlsbset/power.go b/vendor/github.com/cloudflare/circl/math/mlsbset/power.go new file mode 100644 index 0000000000..3f214c3046 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/mlsbset/power.go @@ -0,0 +1,64 @@ +package mlsbset + +import "fmt" + +// Power is a valid exponent produced by the MLSBSet encoding algorithm. +type Power struct { + set Encoder // parameters of code. + s []int32 // set of signs. + b []int32 // set of digits. + c int // carry is {0,1}. +} + +// Exp is calculates x^k, where x is a predetermined element of a group G. +func (p *Power) Exp(G Group) EltG { + a, b := G.Identity(), G.NewEltP() + for e := int(p.set.p.E - 1); e >= 0; e-- { + G.Sqr(a) + for v := uint(0); v < p.set.p.V; v++ { + sgnElt, idElt := p.Digit(v, uint(e)) + G.Lookup(b, v, sgnElt, idElt) + G.Mul(a, b) + } + } + if p.set.IsExtended() && p.c == 1 { + G.Mul(a, G.ExtendedEltP()) + } + return a +} + +// Digit returns the (v,e)-th digit and its sign. +func (p *Power) Digit(v, e uint) (sgn, dig int32) { + sgn = p.bit(0, v, e) + dig = 0 + for i := p.set.p.W - 1; i > 0; i-- { + dig = 2*dig + p.bit(i, v, e) + } + mask := dig >> 31 + dig = (dig + mask) ^ mask + return sgn, dig +} + +// bit returns the (w,v,e)-th bit of the code. +func (p *Power) bit(w, v, e uint) int32 { + if !(w < p.set.p.W && + v < p.set.p.V && + e < p.set.p.E) { + panic(fmt.Errorf("indexes outside (%v,%v,%v)", w, v, e)) + } + if w == 0 { + return p.s[p.set.p.E*v+e] + } + return p.b[p.set.p.D*(w-1)+p.set.p.E*v+e] +} + +func (p *Power) String() string { + dig := "" + for j := uint(0); j < p.set.p.V; j++ { + for i := uint(0); i < p.set.p.E; i++ { + s, d := p.Digit(j, i) + dig += fmt.Sprintf("(%2v,%2v) = %+2v %+2v\n", j, i, s, d) + } + } + return fmt.Sprintf("len: %v\ncarry: %v\ndigits:\n%v", len(p.b)+len(p.s), p.c, dig) +} diff --git a/vendor/github.com/cloudflare/circl/math/wnaf.go b/vendor/github.com/cloudflare/circl/math/wnaf.go new file mode 100644 index 0000000000..df7a9c9bac --- /dev/null +++ b/vendor/github.com/cloudflare/circl/math/wnaf.go @@ -0,0 +1,84 @@ +// Package math provides some utility functions for big integers. +package math + +import "math/big" + +// SignedDigit obtains the signed-digit recoding of n and returns a list L of +// digits such that n = sum( L[i]*2^(i*(w-1)) ), and each L[i] is an odd number +// in the set {±1, ±3, ..., ±2^(w-1)-1}. The third parameter ensures that the +// output has ceil(l/(w-1)) digits. +// +// Restrictions: +// - n is odd and n > 0. +// - 1 < w < 32. +// - l >= bit length of n. +// +// References: +// - Alg.6 in "Exponent Recoding and Regular Exponentiation Algorithms" +// by Joye-Tunstall. http://doi.org/10.1007/978-3-642-02384-2_21 +// - Alg.6 in "Selecting Elliptic Curves for Cryptography: An Efficiency and +// Security Analysis" by Bos et al. http://doi.org/10.1007/s13389-015-0097-y +func SignedDigit(n *big.Int, w, l uint) []int32 { + if n.Sign() <= 0 || n.Bit(0) == 0 { + panic("n must be non-zero, odd, and positive") + } + if w <= 1 || w >= 32 { + panic("Verify that 1 < w < 32") + } + if uint(n.BitLen()) > l { + panic("n is too big to fit in l digits") + } + lenN := (l + (w - 1) - 1) / (w - 1) // ceil(l/(w-1)) + L := make([]int32, lenN+1) + var k, v big.Int + k.Set(n) + + var i uint + for i = 0; i < lenN; i++ { + words := k.Bits() + value := int32(words[0] & ((1 << w) - 1)) + value -= int32(1) << (w - 1) + L[i] = value + v.SetInt64(int64(value)) + k.Sub(&k, &v) + k.Rsh(&k, w-1) + } + L[i] = int32(k.Int64()) + return L +} + +// OmegaNAF obtains the window-w Non-Adjacent Form of a positive number n and +// 1 < w < 32. The returned slice L holds n = sum( L[i]*2^i ). +// +// Reference: +// - Alg.9 "Efficient arithmetic on Koblitz curves" by Solinas. +// http://doi.org/10.1023/A:1008306223194 +func OmegaNAF(n *big.Int, w uint) (L []int32) { + if n.Sign() < 0 { + panic("n must be positive") + } + if w <= 1 || w >= 32 { + panic("Verify that 1 < w < 32") + } + + L = make([]int32, n.BitLen()+1) + var k, v big.Int + k.Set(n) + + i := 0 + for ; k.Sign() > 0; i++ { + value := int32(0) + if k.Bit(0) == 1 { + words := k.Bits() + value = int32(words[0] & ((1 << w) - 1)) + if value >= (int32(1) << (w - 1)) { + value -= int32(1) << w + } + v.SetInt64(int64(value)) + k.Sub(&k, &v) + } + L[i] = value + k.Rsh(&k, 1) + } + return L[:i] +} diff --git a/vendor/github.com/cloudflare/circl/sign/ed25519/ed25519.go b/vendor/github.com/cloudflare/circl/sign/ed25519/ed25519.go new file mode 100644 index 0000000000..b336bec98d --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/ed25519/ed25519.go @@ -0,0 +1,452 @@ +// Package ed25519 implements Ed25519 signature scheme as described in RFC-8032. +// +// This package provides optimized implementations of the three signature +// variants and maintaining closer compatiblilty with crypto/ed25519. +// +// | Scheme Name | Sign Function | Verification | Context | +// |-------------|-------------------|---------------|-------------------| +// | Ed25519 | Sign | Verify | None | +// | Ed25519Ph | SignPh | VerifyPh | Yes, can be empty | +// | Ed25519Ctx | SignWithCtx | VerifyWithCtx | Yes, non-empty | +// | All above | (PrivateKey).Sign | VerifyAny | As above | +// +// Specific functions for sign and verify are defined. A generic signing +// function for all schemes is available through the crypto.Signer interface, +// which is implemented by the PrivateKey type. A correspond all-in-one +// verification method is provided by the VerifyAny function. +// +// Signing with Ed25519Ph or Ed25519Ctx requires a context string for domain +// separation. This parameter is passed using a SignerOptions struct defined +// in this package. While Ed25519Ph accepts an empty context, Ed25519Ctx +// enforces non-empty context strings. +// +// Compatibility with crypto.ed25519 +// +// These functions are compatible with the “Ed25519” function defined in +// RFC-8032. However, unlike RFC 8032's formulation, this package's private +// key representation includes a public key suffix to make multiple signing +// operations with the same key more efficient. This package refers to the +// RFC-8032 private key as the “seed”. +// +// References +// +// - RFC-8032: https://rfc-editor.org/rfc/rfc8032.txt +// - Ed25519: https://ed25519.cr.yp.to/ +// - EdDSA: High-speed high-security signatures. https://doi.org/10.1007/s13389-012-0027-1 +package ed25519 + +import ( + "bytes" + "crypto" + cryptoRand "crypto/rand" + "crypto/sha512" + "crypto/subtle" + "errors" + "fmt" + "io" + "strconv" + + "github.com/cloudflare/circl/sign" +) + +const ( + // ContextMaxSize is the maximum length (in bytes) allowed for context. + ContextMaxSize = 255 + // PublicKeySize is the size, in bytes, of public keys as used in this package. + PublicKeySize = 32 + // PrivateKeySize is the size, in bytes, of private keys as used in this package. + PrivateKeySize = 64 + // SignatureSize is the size, in bytes, of signatures generated and verified by this package. + SignatureSize = 64 + // SeedSize is the size, in bytes, of private key seeds. These are the private key representations used by RFC 8032. + SeedSize = 32 +) + +const ( + paramB = 256 / 8 // Size of keys in bytes. +) + +// SignerOptions implements crypto.SignerOpts and augments with parameters +// that are specific to the Ed25519 signature schemes. +type SignerOptions struct { + // Hash must be crypto.Hash(0) for Ed25519/Ed25519ctx, or crypto.SHA512 + // for Ed25519ph. + crypto.Hash + + // Context is an optional domain separation string for Ed25519ph and a + // must for Ed25519ctx. Its length must be less or equal than 255 bytes. + Context string + + // Scheme is an identifier for choosing a signature scheme. The zero value + // is ED25519. + Scheme SchemeID +} + +// SchemeID is an identifier for each signature scheme. +type SchemeID uint + +const ( + ED25519 SchemeID = iota + ED25519Ph + ED25519Ctx +) + +// PrivateKey is the type of Ed25519 private keys. It implements crypto.Signer. +type PrivateKey []byte + +// Equal reports whether priv and x have the same value. +func (priv PrivateKey) Equal(x crypto.PrivateKey) bool { + xx, ok := x.(PrivateKey) + return ok && subtle.ConstantTimeCompare(priv, xx) == 1 +} + +// Public returns the PublicKey corresponding to priv. +func (priv PrivateKey) Public() crypto.PublicKey { + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, priv[SeedSize:]) + return publicKey +} + +// Seed returns the private key seed corresponding to priv. It is provided for +// interoperability with RFC 8032. RFC 8032's private keys correspond to seeds +// in this package. +func (priv PrivateKey) Seed() []byte { + seed := make([]byte, SeedSize) + copy(seed, priv[:SeedSize]) + return seed +} + +func (priv PrivateKey) Scheme() sign.Scheme { return sch } + +func (pub PublicKey) Scheme() sign.Scheme { return sch } + +func (priv PrivateKey) MarshalBinary() (data []byte, err error) { + privateKey := make(PrivateKey, PrivateKeySize) + copy(privateKey, priv) + return privateKey, nil +} + +func (pub PublicKey) MarshalBinary() (data []byte, err error) { + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, pub) + return publicKey, nil +} + +// Equal reports whether pub and x have the same value. +func (pub PublicKey) Equal(x crypto.PublicKey) bool { + xx, ok := x.(PublicKey) + return ok && bytes.Equal(pub, xx) +} + +// Sign creates a signature of a message with priv key. +// This function is compatible with crypto.ed25519 and also supports the +// three signature variants defined in RFC-8032, namely Ed25519 (or pure +// EdDSA), Ed25519Ph, and Ed25519Ctx. +// The opts.HashFunc() must return zero to specify either Ed25519 or Ed25519Ctx +// variant. This can be achieved by passing crypto.Hash(0) as the value for +// opts. +// The opts.HashFunc() must return SHA512 to specify the Ed25519Ph variant. +// This can be achieved by passing crypto.SHA512 as the value for opts. +// Use a SignerOptions struct (defined in this package) to pass a context +// string for signing. +func (priv PrivateKey) Sign( + rand io.Reader, + message []byte, + opts crypto.SignerOpts) (signature []byte, err error) { + var ctx string + var scheme SchemeID + if o, ok := opts.(SignerOptions); ok { + ctx = o.Context + scheme = o.Scheme + } + + switch true { + case scheme == ED25519 && opts.HashFunc() == crypto.Hash(0): + return Sign(priv, message), nil + case scheme == ED25519Ph && opts.HashFunc() == crypto.SHA512: + return SignPh(priv, message, ctx), nil + case scheme == ED25519Ctx && opts.HashFunc() == crypto.Hash(0) && len(ctx) > 0: + return SignWithCtx(priv, message, ctx), nil + default: + return nil, errors.New("ed25519: bad hash algorithm") + } +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (PublicKey, PrivateKey, error) { + if rand == nil { + rand = cryptoRand.Reader + } + + seed := make([]byte, SeedSize) + if _, err := io.ReadFull(rand, seed); err != nil { + return nil, nil, err + } + + privateKey := NewKeyFromSeed(seed) + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, privateKey[SeedSize:]) + + return publicKey, privateKey, nil +} + +// NewKeyFromSeed calculates a private key from a seed. It will panic if +// len(seed) is not SeedSize. This function is provided for interoperability +// with RFC 8032. RFC 8032's private keys correspond to seeds in this +// package. +func NewKeyFromSeed(seed []byte) PrivateKey { + privateKey := make(PrivateKey, PrivateKeySize) + newKeyFromSeed(privateKey, seed) + return privateKey +} + +func newKeyFromSeed(privateKey, seed []byte) { + if l := len(seed); l != SeedSize { + panic("ed25519: bad seed length: " + strconv.Itoa(l)) + } + var P pointR1 + k := sha512.Sum512(seed) + clamp(k[:]) + reduceModOrder(k[:paramB], false) + P.fixedMult(k[:paramB]) + copy(privateKey[:SeedSize], seed) + _ = P.ToBytes(privateKey[SeedSize:]) +} + +func signAll(signature []byte, privateKey PrivateKey, message, ctx []byte, preHash bool) { + if l := len(privateKey); l != PrivateKeySize { + panic("ed25519: bad private key length: " + strconv.Itoa(l)) + } + + H := sha512.New() + var PHM []byte + + if preHash { + _, _ = H.Write(message) + PHM = H.Sum(nil) + H.Reset() + } else { + PHM = message + } + + // 1. Hash the 32-byte private key using SHA-512. + _, _ = H.Write(privateKey[:SeedSize]) + h := H.Sum(nil) + clamp(h[:]) + prefix, s := h[paramB:], h[:paramB] + + // 2. Compute SHA-512(dom2(F, C) || prefix || PH(M)) + H.Reset() + + writeDom(H, ctx, preHash) + + _, _ = H.Write(prefix) + _, _ = H.Write(PHM) + r := H.Sum(nil) + reduceModOrder(r[:], true) + + // 3. Compute the point [r]B. + var P pointR1 + P.fixedMult(r[:paramB]) + R := (&[paramB]byte{})[:] + if err := P.ToBytes(R); err != nil { + panic(err) + } + + // 4. Compute SHA512(dom2(F, C) || R || A || PH(M)). + H.Reset() + + writeDom(H, ctx, preHash) + + _, _ = H.Write(R) + _, _ = H.Write(privateKey[SeedSize:]) + _, _ = H.Write(PHM) + hRAM := H.Sum(nil) + + reduceModOrder(hRAM[:], true) + + // 5. Compute S = (r + k * s) mod order. + S := (&[paramB]byte{})[:] + calculateS(S, r[:paramB], hRAM[:paramB], s) + + // 6. The signature is the concatenation of R and S. + copy(signature[:paramB], R[:]) + copy(signature[paramB:], S[:]) +} + +// Sign signs the message with privateKey and returns a signature. +// This function supports the signature variant defined in RFC-8032: Ed25519, +// also known as the pure version of EdDSA. +// It will panic if len(privateKey) is not PrivateKeySize. +func Sign(privateKey PrivateKey, message []byte) []byte { + signature := make([]byte, SignatureSize) + signAll(signature, privateKey, message, []byte(""), false) + return signature +} + +// SignPh creates a signature of a message with private key and context. +// This function supports the signature variant defined in RFC-8032: Ed25519ph, +// meaning it internally hashes the message using SHA-512, and optionally +// accepts a context string. +// It will panic if len(privateKey) is not PrivateKeySize. +// Context could be passed to this function, which length should be no more than +// ContextMaxSize=255. It can be empty. +func SignPh(privateKey PrivateKey, message []byte, ctx string) []byte { + if len(ctx) > ContextMaxSize { + panic(fmt.Errorf("ed25519: bad context length: %v", len(ctx))) + } + + signature := make([]byte, SignatureSize) + signAll(signature, privateKey, message, []byte(ctx), true) + return signature +} + +// SignWithCtx creates a signature of a message with private key and context. +// This function supports the signature variant defined in RFC-8032: Ed25519ctx, +// meaning it accepts a non-empty context string. +// It will panic if len(privateKey) is not PrivateKeySize. +// Context must be passed to this function, which length should be no more than +// ContextMaxSize=255 and cannot be empty. +func SignWithCtx(privateKey PrivateKey, message []byte, ctx string) []byte { + if len(ctx) == 0 || len(ctx) > ContextMaxSize { + panic(fmt.Errorf("ed25519: bad context length: %v > %v", len(ctx), ContextMaxSize)) + } + + signature := make([]byte, SignatureSize) + signAll(signature, privateKey, message, []byte(ctx), false) + return signature +} + +func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool { + if len(public) != PublicKeySize || + len(signature) != SignatureSize || + !isLessThanOrder(signature[paramB:]) { + return false + } + + var P pointR1 + if ok := P.FromBytes(public); !ok { + return false + } + + H := sha512.New() + var PHM []byte + + if preHash { + _, _ = H.Write(message) + PHM = H.Sum(nil) + H.Reset() + } else { + PHM = message + } + + R := signature[:paramB] + + writeDom(H, ctx, preHash) + + _, _ = H.Write(R) + _, _ = H.Write(public) + _, _ = H.Write(PHM) + hRAM := H.Sum(nil) + reduceModOrder(hRAM[:], true) + + var Q pointR1 + encR := (&[paramB]byte{})[:] + P.neg() + Q.doubleMult(&P, signature[paramB:], hRAM[:paramB]) + _ = Q.ToBytes(encR) + return bytes.Equal(R, encR) +} + +// VerifyAny returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports all the three signature variants defined in RFC-8032, +// namely Ed25519 (or pure EdDSA), Ed25519Ph, and Ed25519Ctx. +// The opts.HashFunc() must return zero to specify either Ed25519 or Ed25519Ctx +// variant. This can be achieved by passing crypto.Hash(0) as the value for opts. +// The opts.HashFunc() must return SHA512 to specify the Ed25519Ph variant. +// This can be achieved by passing crypto.SHA512 as the value for opts. +// Use a SignerOptions struct to pass a context string for signing. +func VerifyAny(public PublicKey, message, signature []byte, opts crypto.SignerOpts) bool { + var ctx string + var scheme SchemeID + if o, ok := opts.(SignerOptions); ok { + ctx = o.Context + scheme = o.Scheme + } + + switch true { + case scheme == ED25519 && opts.HashFunc() == crypto.Hash(0): + return Verify(public, message, signature) + case scheme == ED25519Ph && opts.HashFunc() == crypto.SHA512: + return VerifyPh(public, message, signature, ctx) + case scheme == ED25519Ctx && opts.HashFunc() == crypto.Hash(0) && len(ctx) > 0: + return VerifyWithCtx(public, message, signature, ctx) + default: + return false + } +} + +// Verify returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports the signature variant defined in RFC-8032: Ed25519, +// also known as the pure version of EdDSA. +func Verify(public PublicKey, message, signature []byte) bool { + return verify(public, message, signature, []byte(""), false) +} + +// VerifyPh returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports the signature variant defined in RFC-8032: Ed25519ph, +// meaning it internally hashes the message using SHA-512. +// Context could be passed to this function, which length should be no more than +// 255. It can be empty. +func VerifyPh(public PublicKey, message, signature []byte, ctx string) bool { + return verify(public, message, signature, []byte(ctx), true) +} + +// VerifyWithCtx returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded, or when context is +// not provided. +// This function supports the signature variant defined in RFC-8032: Ed25519ctx, +// meaning it does not handle prehashed messages. Non-empty context string must be +// provided, and must not be more than 255 of length. +func VerifyWithCtx(public PublicKey, message, signature []byte, ctx string) bool { + if len(ctx) == 0 || len(ctx) > ContextMaxSize { + return false + } + + return verify(public, message, signature, []byte(ctx), false) +} + +func clamp(k []byte) { + k[0] &= 248 + k[paramB-1] = (k[paramB-1] & 127) | 64 +} + +// isLessThanOrder returns true if 0 <= x < order. +func isLessThanOrder(x []byte) bool { + i := len(order) - 1 + for i > 0 && x[i] == order[i] { + i-- + } + return x[i] < order[i] +} + +func writeDom(h io.Writer, ctx []byte, preHash bool) { + dom2 := "SigEd25519 no Ed25519 collisions" + + if len(ctx) > 0 { + _, _ = h.Write([]byte(dom2)) + if preHash { + _, _ = h.Write([]byte{byte(0x01), byte(len(ctx))}) + } else { + _, _ = h.Write([]byte{byte(0x00), byte(len(ctx))}) + } + _, _ = h.Write(ctx) + } else if preHash { + _, _ = h.Write([]byte(dom2)) + _, _ = h.Write([]byte{0x01, 0x00}) + } +} diff --git a/vendor/github.com/cloudflare/circl/sign/ed25519/modular.go b/vendor/github.com/cloudflare/circl/sign/ed25519/modular.go new file mode 100644 index 0000000000..10efafdcaf --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/ed25519/modular.go @@ -0,0 +1,175 @@ +package ed25519 + +import ( + "encoding/binary" + "math/bits" +) + +var order = [paramB]byte{ + 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, + 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, +} + +// isLessThan returns true if 0 <= x < y, and assumes that slices have the same length. +func isLessThan(x, y []byte) bool { + i := len(x) - 1 + for i > 0 && x[i] == y[i] { + i-- + } + return x[i] < y[i] +} + +// reduceModOrder calculates k = k mod order of the curve. +func reduceModOrder(k []byte, is512Bit bool) { + var X [((2 * paramB) * 8) / 64]uint64 + numWords := len(k) >> 3 + for i := 0; i < numWords; i++ { + X[i] = binary.LittleEndian.Uint64(k[i*8 : (i+1)*8]) + } + red512(&X, is512Bit) + for i := 0; i < numWords; i++ { + binary.LittleEndian.PutUint64(k[i*8:(i+1)*8], X[i]) + } +} + +// red512 calculates x = x mod Order of the curve. +func red512(x *[8]uint64, full bool) { + // Implementation of Algs.(14.47)+(14.52) of Handbook of Applied + // Cryptography, by A. Menezes, P. van Oorschot, and S. Vanstone. + const ( + ell0 = uint64(0x5812631a5cf5d3ed) + ell1 = uint64(0x14def9dea2f79cd6) + ell160 = uint64(0x812631a5cf5d3ed0) + ell161 = uint64(0x4def9dea2f79cd65) + ell162 = uint64(0x0000000000000001) + ) + + var c0, c1, c2, c3 uint64 + r0, r1, r2, r3, r4 := x[0], x[1], x[2], x[3], uint64(0) + + if full { + q0, q1, q2, q3 := x[4], x[5], x[6], x[7] + + for i := 0; i < 3; i++ { + h0, s0 := bits.Mul64(q0, ell160) + h1, s1 := bits.Mul64(q1, ell160) + h2, s2 := bits.Mul64(q2, ell160) + h3, s3 := bits.Mul64(q3, ell160) + + s1, c0 = bits.Add64(h0, s1, 0) + s2, c1 = bits.Add64(h1, s2, c0) + s3, c2 = bits.Add64(h2, s3, c1) + s4, _ := bits.Add64(h3, 0, c2) + + h0, l0 := bits.Mul64(q0, ell161) + h1, l1 := bits.Mul64(q1, ell161) + h2, l2 := bits.Mul64(q2, ell161) + h3, l3 := bits.Mul64(q3, ell161) + + l1, c0 = bits.Add64(h0, l1, 0) + l2, c1 = bits.Add64(h1, l2, c0) + l3, c2 = bits.Add64(h2, l3, c1) + l4, _ := bits.Add64(h3, 0, c2) + + s1, c0 = bits.Add64(s1, l0, 0) + s2, c1 = bits.Add64(s2, l1, c0) + s3, c2 = bits.Add64(s3, l2, c1) + s4, c3 = bits.Add64(s4, l3, c2) + s5, s6 := bits.Add64(l4, 0, c3) + + s2, c0 = bits.Add64(s2, q0, 0) + s3, c1 = bits.Add64(s3, q1, c0) + s4, c2 = bits.Add64(s4, q2, c1) + s5, c3 = bits.Add64(s5, q3, c2) + s6, s7 := bits.Add64(s6, 0, c3) + + q := q0 | q1 | q2 | q3 + m := -((q | -q) >> 63) // if q=0 then m=0...0 else m=1..1 + s0 &= m + s1 &= m + s2 &= m + s3 &= m + q0, q1, q2, q3 = s4, s5, s6, s7 + + if (i+1)%2 == 0 { + r0, c0 = bits.Add64(r0, s0, 0) + r1, c1 = bits.Add64(r1, s1, c0) + r2, c2 = bits.Add64(r2, s2, c1) + r3, c3 = bits.Add64(r3, s3, c2) + r4, _ = bits.Add64(r4, 0, c3) + } else { + r0, c0 = bits.Sub64(r0, s0, 0) + r1, c1 = bits.Sub64(r1, s1, c0) + r2, c2 = bits.Sub64(r2, s2, c1) + r3, c3 = bits.Sub64(r3, s3, c2) + r4, _ = bits.Sub64(r4, 0, c3) + } + } + + m := -(r4 >> 63) + r0, c0 = bits.Add64(r0, m&ell160, 0) + r1, c1 = bits.Add64(r1, m&ell161, c0) + r2, c2 = bits.Add64(r2, m&ell162, c1) + r3, c3 = bits.Add64(r3, 0, c2) + r4, _ = bits.Add64(r4, m&1, c3) + x[4], x[5], x[6], x[7] = 0, 0, 0, 0 + } + + q0 := (r4 << 4) | (r3 >> 60) + r3 &= (uint64(1) << 60) - 1 + + h0, s0 := bits.Mul64(ell0, q0) + h1, s1 := bits.Mul64(ell1, q0) + s1, c0 = bits.Add64(h0, s1, 0) + s2, _ := bits.Add64(h1, 0, c0) + + r0, c0 = bits.Sub64(r0, s0, 0) + r1, c1 = bits.Sub64(r1, s1, c0) + r2, c2 = bits.Sub64(r2, s2, c1) + r3, _ = bits.Sub64(r3, 0, c2) + + x[0], x[1], x[2], x[3] = r0, r1, r2, r3 +} + +// calculateS performs s = r+k*a mod Order of the curve. +func calculateS(s, r, k, a []byte) { + K := [4]uint64{ + binary.LittleEndian.Uint64(k[0*8 : 1*8]), + binary.LittleEndian.Uint64(k[1*8 : 2*8]), + binary.LittleEndian.Uint64(k[2*8 : 3*8]), + binary.LittleEndian.Uint64(k[3*8 : 4*8]), + } + S := [8]uint64{ + binary.LittleEndian.Uint64(r[0*8 : 1*8]), + binary.LittleEndian.Uint64(r[1*8 : 2*8]), + binary.LittleEndian.Uint64(r[2*8 : 3*8]), + binary.LittleEndian.Uint64(r[3*8 : 4*8]), + } + var c3 uint64 + for i := range K { + ai := binary.LittleEndian.Uint64(a[i*8 : (i+1)*8]) + + h0, l0 := bits.Mul64(K[0], ai) + h1, l1 := bits.Mul64(K[1], ai) + h2, l2 := bits.Mul64(K[2], ai) + h3, l3 := bits.Mul64(K[3], ai) + + l1, c0 := bits.Add64(h0, l1, 0) + l2, c1 := bits.Add64(h1, l2, c0) + l3, c2 := bits.Add64(h2, l3, c1) + l4, _ := bits.Add64(h3, 0, c2) + + S[i+0], c0 = bits.Add64(S[i+0], l0, 0) + S[i+1], c1 = bits.Add64(S[i+1], l1, c0) + S[i+2], c2 = bits.Add64(S[i+2], l2, c1) + S[i+3], c3 = bits.Add64(S[i+3], l3, c2) + S[i+4], _ = bits.Add64(S[i+4], l4, c3) + } + red512(&S, true) + binary.LittleEndian.PutUint64(s[0*8:1*8], S[0]) + binary.LittleEndian.PutUint64(s[1*8:2*8], S[1]) + binary.LittleEndian.PutUint64(s[2*8:3*8], S[2]) + binary.LittleEndian.PutUint64(s[3*8:4*8], S[3]) +} diff --git a/vendor/github.com/cloudflare/circl/sign/ed25519/mult.go b/vendor/github.com/cloudflare/circl/sign/ed25519/mult.go new file mode 100644 index 0000000000..ddcd71a390 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/ed25519/mult.go @@ -0,0 +1,179 @@ +package ed25519 + +import ( + "crypto/subtle" + "encoding/binary" + "math/bits" + + "github.com/cloudflare/circl/internal/conv" + "github.com/cloudflare/circl/math" + fp "github.com/cloudflare/circl/math/fp25519" +) + +var paramD = fp.Elt{ + 0xa3, 0x78, 0x59, 0x13, 0xca, 0x4d, 0xeb, 0x75, + 0xab, 0xd8, 0x41, 0x41, 0x4d, 0x0a, 0x70, 0x00, + 0x98, 0xe8, 0x79, 0x77, 0x79, 0x40, 0xc7, 0x8c, + 0x73, 0xfe, 0x6f, 0x2b, 0xee, 0x6c, 0x03, 0x52, +} + +// mLSBRecoding parameters. +const ( + fxT = 257 + fxV = 2 + fxW = 3 + fx2w1 = 1 << (uint(fxW) - 1) + numWords64 = (paramB * 8 / 64) +) + +// mLSBRecoding is the odd-only modified LSB-set. +// +// Reference: +// "Efficient and secure algorithms for GLV-based scalar multiplication and +// their implementation on GLV–GLS curves" by (Faz-Hernandez et al.) +// http://doi.org/10.1007/s13389-014-0085-7. +func mLSBRecoding(L []int8, k []byte) { + const ee = (fxT + fxW*fxV - 1) / (fxW * fxV) + const dd = ee * fxV + const ll = dd * fxW + if len(L) == (ll + 1) { + var m [numWords64 + 1]uint64 + for i := 0; i < numWords64; i++ { + m[i] = binary.LittleEndian.Uint64(k[8*i : 8*i+8]) + } + condAddOrderN(&m) + L[dd-1] = 1 + for i := 0; i < dd-1; i++ { + kip1 := (m[(i+1)/64] >> (uint(i+1) % 64)) & 0x1 + L[i] = int8(kip1<<1) - 1 + } + { // right-shift by d + right := uint(dd % 64) + left := uint(64) - right + lim := ((numWords64+1)*64 - dd) / 64 + j := dd / 64 + for i := 0; i < lim; i++ { + m[i] = (m[i+j] >> right) | (m[i+j+1] << left) + } + m[lim] = m[lim+j] >> right + } + for i := dd; i < ll; i++ { + L[i] = L[i%dd] * int8(m[0]&0x1) + div2subY(m[:], int64(L[i]>>1), numWords64) + } + L[ll] = int8(m[0]) + } +} + +// absolute returns always a positive value. +func absolute(x int32) int32 { + mask := x >> 31 + return (x + mask) ^ mask +} + +// condAddOrderN updates x = x+order if x is even, otherwise x remains unchanged. +func condAddOrderN(x *[numWords64 + 1]uint64) { + isOdd := (x[0] & 0x1) - 1 + c := uint64(0) + for i := 0; i < numWords64; i++ { + orderWord := binary.LittleEndian.Uint64(order[8*i : 8*i+8]) + o := isOdd & orderWord + x0, c0 := bits.Add64(x[i], o, c) + x[i] = x0 + c = c0 + } + x[numWords64], _ = bits.Add64(x[numWords64], 0, c) +} + +// div2subY update x = (x/2) - y. +func div2subY(x []uint64, y int64, l int) { + s := uint64(y >> 63) + for i := 0; i < l-1; i++ { + x[i] = (x[i] >> 1) | (x[i+1] << 63) + } + x[l-1] = (x[l-1] >> 1) + + b := uint64(0) + x0, b0 := bits.Sub64(x[0], uint64(y), b) + x[0] = x0 + b = b0 + for i := 1; i < l-1; i++ { + x0, b0 := bits.Sub64(x[i], s, b) + x[i] = x0 + b = b0 + } + x[l-1], _ = bits.Sub64(x[l-1], s, b) +} + +func (P *pointR1) fixedMult(scalar []byte) { + if len(scalar) != paramB { + panic("wrong scalar size") + } + const ee = (fxT + fxW*fxV - 1) / (fxW * fxV) + const dd = ee * fxV + const ll = dd * fxW + + L := make([]int8, ll+1) + mLSBRecoding(L[:], scalar) + S := &pointR3{} + P.SetIdentity() + for ii := ee - 1; ii >= 0; ii-- { + P.double() + for j := 0; j < fxV; j++ { + dig := L[fxW*dd-j*ee+ii-ee] + for i := (fxW-1)*dd - j*ee + ii - ee; i >= (2*dd - j*ee + ii - ee); i = i - dd { + dig = 2*dig + L[i] + } + idx := absolute(int32(dig)) + sig := L[dd-j*ee+ii-ee] + Tabj := &tabSign[fxV-j-1] + for k := 0; k < fx2w1; k++ { + S.cmov(&Tabj[k], subtle.ConstantTimeEq(int32(k), idx)) + } + S.cneg(subtle.ConstantTimeEq(int32(sig), -1)) + P.mixAdd(S) + } + } +} + +const ( + omegaFix = 7 + omegaVar = 5 +) + +// doubleMult returns P=mG+nQ. +func (P *pointR1) doubleMult(Q *pointR1, m, n []byte) { + nafFix := math.OmegaNAF(conv.BytesLe2BigInt(m), omegaFix) + nafVar := math.OmegaNAF(conv.BytesLe2BigInt(n), omegaVar) + + if len(nafFix) > len(nafVar) { + nafVar = append(nafVar, make([]int32, len(nafFix)-len(nafVar))...) + } else if len(nafFix) < len(nafVar) { + nafFix = append(nafFix, make([]int32, len(nafVar)-len(nafFix))...) + } + + var TabQ [1 << (omegaVar - 2)]pointR2 + Q.oddMultiples(TabQ[:]) + P.SetIdentity() + for i := len(nafFix) - 1; i >= 0; i-- { + P.double() + // Generator point + if nafFix[i] != 0 { + idxM := absolute(nafFix[i]) >> 1 + R := tabVerif[idxM] + if nafFix[i] < 0 { + R.neg() + } + P.mixAdd(&R) + } + // Variable input point + if nafVar[i] != 0 { + idxN := absolute(nafVar[i]) >> 1 + S := TabQ[idxN] + if nafVar[i] < 0 { + S.neg() + } + P.add(&S) + } + } +} diff --git a/vendor/github.com/cloudflare/circl/sign/ed25519/point.go b/vendor/github.com/cloudflare/circl/sign/ed25519/point.go new file mode 100644 index 0000000000..73505a6fd3 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/ed25519/point.go @@ -0,0 +1,193 @@ +package ed25519 + +import fp "github.com/cloudflare/circl/math/fp25519" + +type pointR1 struct{ x, y, z, ta, tb fp.Elt } +type pointR2 struct { + pointR3 + z2 fp.Elt +} +type pointR3 struct{ addYX, subYX, dt2 fp.Elt } + +func (P *pointR1) neg() { + fp.Neg(&P.x, &P.x) + fp.Neg(&P.ta, &P.ta) +} + +func (P *pointR1) SetIdentity() { + P.x = fp.Elt{} + fp.SetOne(&P.y) + fp.SetOne(&P.z) + P.ta = fp.Elt{} + P.tb = fp.Elt{} +} + +func (P *pointR1) toAffine() { + fp.Inv(&P.z, &P.z) + fp.Mul(&P.x, &P.x, &P.z) + fp.Mul(&P.y, &P.y, &P.z) + fp.Modp(&P.x) + fp.Modp(&P.y) + fp.SetOne(&P.z) + P.ta = P.x + P.tb = P.y +} + +func (P *pointR1) ToBytes(k []byte) error { + P.toAffine() + var x [fp.Size]byte + err := fp.ToBytes(k[:fp.Size], &P.y) + if err != nil { + return err + } + err = fp.ToBytes(x[:], &P.x) + if err != nil { + return err + } + b := x[0] & 1 + k[paramB-1] = k[paramB-1] | (b << 7) + return nil +} + +func (P *pointR1) FromBytes(k []byte) bool { + if len(k) != paramB { + panic("wrong size") + } + signX := k[paramB-1] >> 7 + copy(P.y[:], k[:fp.Size]) + P.y[fp.Size-1] &= 0x7F + p := fp.P() + if !isLessThan(P.y[:], p[:]) { + return false + } + + one, u, v := &fp.Elt{}, &fp.Elt{}, &fp.Elt{} + fp.SetOne(one) + fp.Sqr(u, &P.y) // u = y^2 + fp.Mul(v, u, ¶mD) // v = dy^2 + fp.Sub(u, u, one) // u = y^2-1 + fp.Add(v, v, one) // v = dy^2+1 + isQR := fp.InvSqrt(&P.x, u, v) // x = sqrt(u/v) + if !isQR { + return false + } + fp.Modp(&P.x) // x = x mod p + if fp.IsZero(&P.x) && signX == 1 { + return false + } + if signX != (P.x[0] & 1) { + fp.Neg(&P.x, &P.x) + } + P.ta = P.x + P.tb = P.y + fp.SetOne(&P.z) + return true +} + +// double calculates 2P for curves with A=-1. +func (P *pointR1) double() { + Px, Py, Pz, Pta, Ptb := &P.x, &P.y, &P.z, &P.ta, &P.tb + a, b, c, e, f, g, h := Px, Py, Pz, Pta, Px, Py, Ptb + fp.Add(e, Px, Py) // x+y + fp.Sqr(a, Px) // A = x^2 + fp.Sqr(b, Py) // B = y^2 + fp.Sqr(c, Pz) // z^2 + fp.Add(c, c, c) // C = 2*z^2 + fp.Add(h, a, b) // H = A+B + fp.Sqr(e, e) // (x+y)^2 + fp.Sub(e, e, h) // E = (x+y)^2-A-B + fp.Sub(g, b, a) // G = B-A + fp.Sub(f, c, g) // F = C-G + fp.Mul(Pz, f, g) // Z = F * G + fp.Mul(Px, e, f) // X = E * F + fp.Mul(Py, g, h) // Y = G * H, T = E * H +} + +func (P *pointR1) mixAdd(Q *pointR3) { + fp.Add(&P.z, &P.z, &P.z) // D = 2*z1 + P.coreAddition(Q) +} + +func (P *pointR1) add(Q *pointR2) { + fp.Mul(&P.z, &P.z, &Q.z2) // D = 2*z1*z2 + P.coreAddition(&Q.pointR3) +} + +// coreAddition calculates P=P+Q for curves with A=-1. +func (P *pointR1) coreAddition(Q *pointR3) { + Px, Py, Pz, Pta, Ptb := &P.x, &P.y, &P.z, &P.ta, &P.tb + addYX2, subYX2, dt2 := &Q.addYX, &Q.subYX, &Q.dt2 + a, b, c, d, e, f, g, h := Px, Py, &fp.Elt{}, Pz, Pta, Px, Py, Ptb + fp.Mul(c, Pta, Ptb) // t1 = ta*tb + fp.Sub(h, Py, Px) // y1-x1 + fp.Add(b, Py, Px) // y1+x1 + fp.Mul(a, h, subYX2) // A = (y1-x1)*(y2-x2) + fp.Mul(b, b, addYX2) // B = (y1+x1)*(y2+x2) + fp.Mul(c, c, dt2) // C = 2*D*t1*t2 + fp.Sub(e, b, a) // E = B-A + fp.Add(h, b, a) // H = B+A + fp.Sub(f, d, c) // F = D-C + fp.Add(g, d, c) // G = D+C + fp.Mul(Pz, f, g) // Z = F * G + fp.Mul(Px, e, f) // X = E * F + fp.Mul(Py, g, h) // Y = G * H, T = E * H +} + +func (P *pointR1) oddMultiples(T []pointR2) { + var R pointR2 + n := len(T) + T[0].fromR1(P) + _2P := *P + _2P.double() + R.fromR1(&_2P) + for i := 1; i < n; i++ { + P.add(&R) + T[i].fromR1(P) + } +} + +func (P *pointR1) isEqual(Q *pointR1) bool { + l, r := &fp.Elt{}, &fp.Elt{} + fp.Mul(l, &P.x, &Q.z) + fp.Mul(r, &Q.x, &P.z) + fp.Sub(l, l, r) + b := fp.IsZero(l) + fp.Mul(l, &P.y, &Q.z) + fp.Mul(r, &Q.y, &P.z) + fp.Sub(l, l, r) + b = b && fp.IsZero(l) + fp.Mul(l, &P.ta, &P.tb) + fp.Mul(l, l, &Q.z) + fp.Mul(r, &Q.ta, &Q.tb) + fp.Mul(r, r, &P.z) + fp.Sub(l, l, r) + b = b && fp.IsZero(l) + return b +} + +func (P *pointR3) neg() { + P.addYX, P.subYX = P.subYX, P.addYX + fp.Neg(&P.dt2, &P.dt2) +} + +func (P *pointR2) fromR1(Q *pointR1) { + fp.Add(&P.addYX, &Q.y, &Q.x) + fp.Sub(&P.subYX, &Q.y, &Q.x) + fp.Mul(&P.dt2, &Q.ta, &Q.tb) + fp.Mul(&P.dt2, &P.dt2, ¶mD) + fp.Add(&P.dt2, &P.dt2, &P.dt2) + fp.Add(&P.z2, &Q.z, &Q.z) +} + +func (P *pointR3) cneg(b int) { + t := &fp.Elt{} + fp.Cswap(&P.addYX, &P.subYX, uint(b)) + fp.Neg(t, &P.dt2) + fp.Cmov(&P.dt2, t, uint(b)) +} + +func (P *pointR3) cmov(Q *pointR3, b int) { + fp.Cmov(&P.addYX, &Q.addYX, uint(b)) + fp.Cmov(&P.subYX, &Q.subYX, uint(b)) + fp.Cmov(&P.dt2, &Q.dt2, uint(b)) +} diff --git a/vendor/github.com/cloudflare/circl/sign/ed25519/pubkey.go b/vendor/github.com/cloudflare/circl/sign/ed25519/pubkey.go new file mode 100644 index 0000000000..c3505b67ac --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/ed25519/pubkey.go @@ -0,0 +1,9 @@ +//go:build go1.13 +// +build go1.13 + +package ed25519 + +import cryptoEd25519 "crypto/ed25519" + +// PublicKey is the type of Ed25519 public keys. +type PublicKey cryptoEd25519.PublicKey diff --git a/vendor/github.com/cloudflare/circl/sign/ed25519/pubkey112.go b/vendor/github.com/cloudflare/circl/sign/ed25519/pubkey112.go new file mode 100644 index 0000000000..d57d86eff0 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/ed25519/pubkey112.go @@ -0,0 +1,7 @@ +//go:build !go1.13 +// +build !go1.13 + +package ed25519 + +// PublicKey is the type of Ed25519 public keys. +type PublicKey []byte diff --git a/vendor/github.com/cloudflare/circl/sign/ed25519/signapi.go b/vendor/github.com/cloudflare/circl/sign/ed25519/signapi.go new file mode 100644 index 0000000000..e4520f5203 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/ed25519/signapi.go @@ -0,0 +1,87 @@ +package ed25519 + +import ( + "crypto/rand" + "encoding/asn1" + + "github.com/cloudflare/circl/sign" +) + +var sch sign.Scheme = &scheme{} + +// Scheme returns a signature interface. +func Scheme() sign.Scheme { return sch } + +type scheme struct{} + +func (*scheme) Name() string { return "Ed25519" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SignatureSize() int { return SignatureSize } +func (*scheme) SeedSize() int { return SeedSize } +func (*scheme) TLSIdentifier() uint { return 0x0807 } +func (*scheme) SupportsContext() bool { return false } +func (*scheme) Oid() asn1.ObjectIdentifier { + return asn1.ObjectIdentifier{1, 3, 101, 112} +} + +func (*scheme) GenerateKey() (sign.PublicKey, sign.PrivateKey, error) { + return GenerateKey(rand.Reader) +} + +func (*scheme) Sign( + sk sign.PrivateKey, + message []byte, + opts *sign.SignatureOpts, +) []byte { + priv, ok := sk.(PrivateKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + if opts != nil && opts.Context != "" { + panic(sign.ErrContextNotSupported) + } + return Sign(priv, message) +} + +func (*scheme) Verify( + pk sign.PublicKey, + message, signature []byte, + opts *sign.SignatureOpts, +) bool { + pub, ok := pk.(PublicKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + if opts != nil { + if opts.Context != "" { + panic(sign.ErrContextNotSupported) + } + } + return Verify(pub, message, signature) +} + +func (*scheme) DeriveKey(seed []byte) (sign.PublicKey, sign.PrivateKey) { + privateKey := NewKeyFromSeed(seed) + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, privateKey[SeedSize:]) + return publicKey, privateKey +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (sign.PublicKey, error) { + if len(buf) < PublicKeySize { + return nil, sign.ErrPubKeySize + } + pub := make(PublicKey, PublicKeySize) + copy(pub, buf[:PublicKeySize]) + return pub, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (sign.PrivateKey, error) { + if len(buf) < PrivateKeySize { + return nil, sign.ErrPrivKeySize + } + priv := make(PrivateKey, PrivateKeySize) + copy(priv, buf[:PrivateKeySize]) + return priv, nil +} diff --git a/vendor/github.com/cloudflare/circl/sign/ed25519/tables.go b/vendor/github.com/cloudflare/circl/sign/ed25519/tables.go new file mode 100644 index 0000000000..8763b426fc --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/ed25519/tables.go @@ -0,0 +1,213 @@ +package ed25519 + +import fp "github.com/cloudflare/circl/math/fp25519" + +var tabSign = [fxV][fx2w1]pointR3{ + { + pointR3{ + addYX: fp.Elt{0x85, 0x3b, 0x8c, 0xf5, 0xc6, 0x93, 0xbc, 0x2f, 0x19, 0x0e, 0x8c, 0xfb, 0xc6, 0x2d, 0x93, 0xcf, 0xc2, 0x42, 0x3d, 0x64, 0x98, 0x48, 0x0b, 0x27, 0x65, 0xba, 0xd4, 0x33, 0x3a, 0x9d, 0xcf, 0x07}, + subYX: fp.Elt{0x3e, 0x91, 0x40, 0xd7, 0x05, 0x39, 0x10, 0x9d, 0xb3, 0xbe, 0x40, 0xd1, 0x05, 0x9f, 0x39, 0xfd, 0x09, 0x8a, 0x8f, 0x68, 0x34, 0x84, 0xc1, 0xa5, 0x67, 0x12, 0xf8, 0x98, 0x92, 0x2f, 0xfd, 0x44}, + dt2: fp.Elt{0x68, 0xaa, 0x7a, 0x87, 0x05, 0x12, 0xc9, 0xab, 0x9e, 0xc4, 0xaa, 0xcc, 0x23, 0xe8, 0xd9, 0x26, 0x8c, 0x59, 0x43, 0xdd, 0xcb, 0x7d, 0x1b, 0x5a, 0xa8, 0x65, 0x0c, 0x9f, 0x68, 0x7b, 0x11, 0x6f}, + }, + { + addYX: fp.Elt{0x7c, 0xb0, 0x9e, 0xe6, 0xc5, 0xbf, 0xfa, 0x13, 0x8e, 0x0d, 0x22, 0xde, 0xc8, 0xd1, 0xce, 0x52, 0x02, 0xd5, 0x62, 0x31, 0x71, 0x0e, 0x8e, 0x9d, 0xb0, 0xd6, 0x00, 0xa5, 0x5a, 0x0e, 0xce, 0x72}, + subYX: fp.Elt{0x1a, 0x8e, 0x5c, 0xdc, 0xa4, 0xb3, 0x6c, 0x51, 0x18, 0xa0, 0x09, 0x80, 0x9a, 0x46, 0x33, 0xd5, 0xe0, 0x3c, 0x4d, 0x3b, 0xfc, 0x49, 0xa2, 0x43, 0x29, 0xe1, 0x29, 0xa9, 0x93, 0xea, 0x7c, 0x35}, + dt2: fp.Elt{0x08, 0x46, 0x6f, 0x68, 0x7f, 0x0b, 0x7c, 0x9e, 0xad, 0xba, 0x07, 0x61, 0x74, 0x83, 0x2f, 0xfc, 0x26, 0xd6, 0x09, 0xb9, 0x00, 0x34, 0x36, 0x4f, 0x01, 0xf3, 0x48, 0xdb, 0x43, 0xba, 0x04, 0x44}, + }, + { + addYX: fp.Elt{0x4c, 0xda, 0x0d, 0x13, 0x66, 0xfd, 0x82, 0x84, 0x9f, 0x75, 0x5b, 0xa2, 0x17, 0xfe, 0x34, 0xbf, 0x1f, 0xcb, 0xba, 0x90, 0x55, 0x80, 0x83, 0xfd, 0x63, 0xb9, 0x18, 0xf8, 0x5b, 0x5d, 0x94, 0x1e}, + subYX: fp.Elt{0xb9, 0xdb, 0x6c, 0x04, 0x88, 0x22, 0xd8, 0x79, 0x83, 0x2f, 0x8d, 0x65, 0x6b, 0xd2, 0xab, 0x1b, 0xdd, 0x65, 0xe5, 0x93, 0x63, 0xf8, 0xa2, 0xd8, 0x3c, 0xf1, 0x4b, 0xc5, 0x99, 0xd1, 0xf2, 0x12}, + dt2: fp.Elt{0x05, 0x4c, 0xb8, 0x3b, 0xfe, 0xf5, 0x9f, 0x2e, 0xd1, 0xb2, 0xb8, 0xff, 0xfe, 0x6d, 0xd9, 0x37, 0xe0, 0xae, 0xb4, 0x5a, 0x51, 0x80, 0x7e, 0x9b, 0x1d, 0xd1, 0x8d, 0x8c, 0x56, 0xb1, 0x84, 0x35}, + }, + { + addYX: fp.Elt{0x39, 0x71, 0x43, 0x34, 0xe3, 0x42, 0x45, 0xa1, 0xf2, 0x68, 0x71, 0xa7, 0xe8, 0x23, 0xfd, 0x9f, 0x86, 0x48, 0xff, 0xe5, 0x96, 0x74, 0xcf, 0x05, 0x49, 0xe2, 0xb3, 0x6c, 0x17, 0x77, 0x2f, 0x6d}, + subYX: fp.Elt{0x73, 0x3f, 0xc1, 0xc7, 0x6a, 0x66, 0xa1, 0x20, 0xdd, 0x11, 0xfb, 0x7a, 0x6e, 0xa8, 0x51, 0xb8, 0x3f, 0x9d, 0xa2, 0x97, 0x84, 0xb5, 0xc7, 0x90, 0x7c, 0xab, 0x48, 0xd6, 0x84, 0xa3, 0xd5, 0x1a}, + dt2: fp.Elt{0x63, 0x27, 0x3c, 0x49, 0x4b, 0xfc, 0x22, 0xf2, 0x0b, 0x50, 0xc2, 0x0f, 0xb4, 0x1f, 0x31, 0x0c, 0x2f, 0x53, 0xab, 0xaa, 0x75, 0x6f, 0xe0, 0x69, 0x39, 0x56, 0xe0, 0x3b, 0xb7, 0xa8, 0xbf, 0x45}, + }, + }, + { + { + addYX: fp.Elt{0x00, 0x45, 0xd9, 0x0d, 0x58, 0x03, 0xfc, 0x29, 0x93, 0xec, 0xbb, 0x6f, 0xa4, 0x7a, 0xd2, 0xec, 0xf8, 0xa7, 0xe2, 0xc2, 0x5f, 0x15, 0x0a, 0x13, 0xd5, 0xa1, 0x06, 0xb7, 0x1a, 0x15, 0x6b, 0x41}, + subYX: fp.Elt{0x85, 0x8c, 0xb2, 0x17, 0xd6, 0x3b, 0x0a, 0xd3, 0xea, 0x3b, 0x77, 0x39, 0xb7, 0x77, 0xd3, 0xc5, 0xbf, 0x5c, 0x6a, 0x1e, 0x8c, 0xe7, 0xc6, 0xc6, 0xc4, 0xb7, 0x2a, 0x8b, 0xf7, 0xb8, 0x61, 0x0d}, + dt2: fp.Elt{0xb0, 0x36, 0xc1, 0xe9, 0xef, 0xd7, 0xa8, 0x56, 0x20, 0x4b, 0xe4, 0x58, 0xcd, 0xe5, 0x07, 0xbd, 0xab, 0xe0, 0x57, 0x1b, 0xda, 0x2f, 0xe6, 0xaf, 0xd2, 0xe8, 0x77, 0x42, 0xf7, 0x2a, 0x1a, 0x19}, + }, + { + addYX: fp.Elt{0x6a, 0x6d, 0x6d, 0xd1, 0xfa, 0xf5, 0x03, 0x30, 0xbd, 0x6d, 0xc2, 0xc8, 0xf5, 0x38, 0x80, 0x4f, 0xb2, 0xbe, 0xa1, 0x76, 0x50, 0x1a, 0x73, 0xf2, 0x78, 0x2b, 0x8e, 0x3a, 0x1e, 0x34, 0x47, 0x7b}, + subYX: fp.Elt{0xc3, 0x2c, 0x36, 0xdc, 0xc5, 0x45, 0xbc, 0xef, 0x1b, 0x64, 0xd6, 0x65, 0x28, 0xe9, 0xda, 0x84, 0x13, 0xbe, 0x27, 0x8e, 0x3f, 0x98, 0x2a, 0x37, 0xee, 0x78, 0x97, 0xd6, 0xc0, 0x6f, 0xb4, 0x53}, + dt2: fp.Elt{0x58, 0x5d, 0xa7, 0xa3, 0x68, 0xbb, 0x20, 0x30, 0x2e, 0x03, 0xe9, 0xb1, 0xd4, 0x90, 0x72, 0xe3, 0x71, 0xb2, 0x36, 0x3e, 0x73, 0xa0, 0x2e, 0x3d, 0xd1, 0x85, 0x33, 0x62, 0x4e, 0xa7, 0x7b, 0x31}, + }, + { + addYX: fp.Elt{0xbf, 0xc4, 0x38, 0x53, 0xfb, 0x68, 0xa9, 0x77, 0xce, 0x55, 0xf9, 0x05, 0xcb, 0xeb, 0xfb, 0x8c, 0x46, 0xc2, 0x32, 0x7c, 0xf0, 0xdb, 0xd7, 0x2c, 0x62, 0x8e, 0xdd, 0x54, 0x75, 0xcf, 0x3f, 0x33}, + subYX: fp.Elt{0x49, 0x50, 0x1f, 0x4e, 0x6e, 0x55, 0x55, 0xde, 0x8c, 0x4e, 0x77, 0x96, 0x38, 0x3b, 0xfe, 0xb6, 0x43, 0x3c, 0x86, 0x69, 0xc2, 0x72, 0x66, 0x1f, 0x6b, 0xf9, 0x87, 0xbc, 0x4f, 0x37, 0x3e, 0x3c}, + dt2: fp.Elt{0xd2, 0x2f, 0x06, 0x6b, 0x08, 0x07, 0x69, 0x77, 0xc0, 0x94, 0xcc, 0xae, 0x43, 0x00, 0x59, 0x6e, 0xa3, 0x63, 0xa8, 0xdd, 0xfa, 0x24, 0x18, 0xd0, 0x35, 0xc7, 0x78, 0xf7, 0x0d, 0xd4, 0x5a, 0x1e}, + }, + { + addYX: fp.Elt{0x45, 0xc1, 0x17, 0x51, 0xf8, 0xed, 0x7e, 0xc7, 0xa9, 0x1a, 0x11, 0x6e, 0x2d, 0xef, 0x0b, 0xd5, 0x3f, 0x98, 0xb0, 0xa3, 0x9d, 0x65, 0xf1, 0xcd, 0x53, 0x4a, 0x8a, 0x18, 0x70, 0x0a, 0x7f, 0x23}, + subYX: fp.Elt{0xdd, 0xef, 0xbe, 0x3a, 0x31, 0xe0, 0xbc, 0xbe, 0x6d, 0x5d, 0x79, 0x87, 0xd6, 0xbe, 0x68, 0xe3, 0x59, 0x76, 0x8c, 0x86, 0x0e, 0x7a, 0x92, 0x13, 0x14, 0x8f, 0x67, 0xb3, 0xcb, 0x1a, 0x76, 0x76}, + dt2: fp.Elt{0x56, 0x7a, 0x1c, 0x9d, 0xca, 0x96, 0xf9, 0xf9, 0x03, 0x21, 0xd4, 0xe8, 0xb3, 0xd5, 0xe9, 0x52, 0xc8, 0x54, 0x1e, 0x1b, 0x13, 0xb6, 0xfd, 0x47, 0x7d, 0x02, 0x32, 0x33, 0x27, 0xe2, 0x1f, 0x19}, + }, + }, +} + +var tabVerif = [1 << (omegaFix - 2)]pointR3{ + { /* 1P */ + addYX: fp.Elt{0x85, 0x3b, 0x8c, 0xf5, 0xc6, 0x93, 0xbc, 0x2f, 0x19, 0x0e, 0x8c, 0xfb, 0xc6, 0x2d, 0x93, 0xcf, 0xc2, 0x42, 0x3d, 0x64, 0x98, 0x48, 0x0b, 0x27, 0x65, 0xba, 0xd4, 0x33, 0x3a, 0x9d, 0xcf, 0x07}, + subYX: fp.Elt{0x3e, 0x91, 0x40, 0xd7, 0x05, 0x39, 0x10, 0x9d, 0xb3, 0xbe, 0x40, 0xd1, 0x05, 0x9f, 0x39, 0xfd, 0x09, 0x8a, 0x8f, 0x68, 0x34, 0x84, 0xc1, 0xa5, 0x67, 0x12, 0xf8, 0x98, 0x92, 0x2f, 0xfd, 0x44}, + dt2: fp.Elt{0x68, 0xaa, 0x7a, 0x87, 0x05, 0x12, 0xc9, 0xab, 0x9e, 0xc4, 0xaa, 0xcc, 0x23, 0xe8, 0xd9, 0x26, 0x8c, 0x59, 0x43, 0xdd, 0xcb, 0x7d, 0x1b, 0x5a, 0xa8, 0x65, 0x0c, 0x9f, 0x68, 0x7b, 0x11, 0x6f}, + }, + { /* 3P */ + addYX: fp.Elt{0x30, 0x97, 0xee, 0x4c, 0xa8, 0xb0, 0x25, 0xaf, 0x8a, 0x4b, 0x86, 0xe8, 0x30, 0x84, 0x5a, 0x02, 0x32, 0x67, 0x01, 0x9f, 0x02, 0x50, 0x1b, 0xc1, 0xf4, 0xf8, 0x80, 0x9a, 0x1b, 0x4e, 0x16, 0x7a}, + subYX: fp.Elt{0x65, 0xd2, 0xfc, 0xa4, 0xe8, 0x1f, 0x61, 0x56, 0x7d, 0xba, 0xc1, 0xe5, 0xfd, 0x53, 0xd3, 0x3b, 0xbd, 0xd6, 0x4b, 0x21, 0x1a, 0xf3, 0x31, 0x81, 0x62, 0xda, 0x5b, 0x55, 0x87, 0x15, 0xb9, 0x2a}, + dt2: fp.Elt{0x89, 0xd8, 0xd0, 0x0d, 0x3f, 0x93, 0xae, 0x14, 0x62, 0xda, 0x35, 0x1c, 0x22, 0x23, 0x94, 0x58, 0x4c, 0xdb, 0xf2, 0x8c, 0x45, 0xe5, 0x70, 0xd1, 0xc6, 0xb4, 0xb9, 0x12, 0xaf, 0x26, 0x28, 0x5a}, + }, + { /* 5P */ + addYX: fp.Elt{0x33, 0xbb, 0xa5, 0x08, 0x44, 0xbc, 0x12, 0xa2, 0x02, 0xed, 0x5e, 0xc7, 0xc3, 0x48, 0x50, 0x8d, 0x44, 0xec, 0xbf, 0x5a, 0x0c, 0xeb, 0x1b, 0xdd, 0xeb, 0x06, 0xe2, 0x46, 0xf1, 0xcc, 0x45, 0x29}, + subYX: fp.Elt{0xba, 0xd6, 0x47, 0xa4, 0xc3, 0x82, 0x91, 0x7f, 0xb7, 0x29, 0x27, 0x4b, 0xd1, 0x14, 0x00, 0xd5, 0x87, 0xa0, 0x64, 0xb8, 0x1c, 0xf1, 0x3c, 0xe3, 0xf3, 0x55, 0x1b, 0xeb, 0x73, 0x7e, 0x4a, 0x15}, + dt2: fp.Elt{0x85, 0x82, 0x2a, 0x81, 0xf1, 0xdb, 0xbb, 0xbc, 0xfc, 0xd1, 0xbd, 0xd0, 0x07, 0x08, 0x0e, 0x27, 0x2d, 0xa7, 0xbd, 0x1b, 0x0b, 0x67, 0x1b, 0xb4, 0x9a, 0xb6, 0x3b, 0x6b, 0x69, 0xbe, 0xaa, 0x43}, + }, + { /* 7P */ + addYX: fp.Elt{0xbf, 0xa3, 0x4e, 0x94, 0xd0, 0x5c, 0x1a, 0x6b, 0xd2, 0xc0, 0x9d, 0xb3, 0x3a, 0x35, 0x70, 0x74, 0x49, 0x2e, 0x54, 0x28, 0x82, 0x52, 0xb2, 0x71, 0x7e, 0x92, 0x3c, 0x28, 0x69, 0xea, 0x1b, 0x46}, + subYX: fp.Elt{0xb1, 0x21, 0x32, 0xaa, 0x9a, 0x2c, 0x6f, 0xba, 0xa7, 0x23, 0xba, 0x3b, 0x53, 0x21, 0xa0, 0x6c, 0x3a, 0x2c, 0x19, 0x92, 0x4f, 0x76, 0xea, 0x9d, 0xe0, 0x17, 0x53, 0x2e, 0x5d, 0xdd, 0x6e, 0x1d}, + dt2: fp.Elt{0xa2, 0xb3, 0xb8, 0x01, 0xc8, 0x6d, 0x83, 0xf1, 0x9a, 0xa4, 0x3e, 0x05, 0x47, 0x5f, 0x03, 0xb3, 0xf3, 0xad, 0x77, 0x58, 0xba, 0x41, 0x9c, 0x52, 0xa7, 0x90, 0x0f, 0x6a, 0x1c, 0xbb, 0x9f, 0x7a}, + }, + { /* 9P */ + addYX: fp.Elt{0x2f, 0x63, 0xa8, 0xa6, 0x8a, 0x67, 0x2e, 0x9b, 0xc5, 0x46, 0xbc, 0x51, 0x6f, 0x9e, 0x50, 0xa6, 0xb5, 0xf5, 0x86, 0xc6, 0xc9, 0x33, 0xb2, 0xce, 0x59, 0x7f, 0xdd, 0x8a, 0x33, 0xed, 0xb9, 0x34}, + subYX: fp.Elt{0x64, 0x80, 0x9d, 0x03, 0x7e, 0x21, 0x6e, 0xf3, 0x9b, 0x41, 0x20, 0xf5, 0xb6, 0x81, 0xa0, 0x98, 0x44, 0xb0, 0x5e, 0xe7, 0x08, 0xc6, 0xcb, 0x96, 0x8f, 0x9c, 0xdc, 0xfa, 0x51, 0x5a, 0xc0, 0x49}, + dt2: fp.Elt{0x1b, 0xaf, 0x45, 0x90, 0xbf, 0xe8, 0xb4, 0x06, 0x2f, 0xd2, 0x19, 0xa7, 0xe8, 0x83, 0xff, 0xe2, 0x16, 0xcf, 0xd4, 0x93, 0x29, 0xfc, 0xf6, 0xaa, 0x06, 0x8b, 0x00, 0x1b, 0x02, 0x72, 0xc1, 0x73}, + }, + { /* 11P */ + addYX: fp.Elt{0xde, 0x2a, 0x80, 0x8a, 0x84, 0x00, 0xbf, 0x2f, 0x27, 0x2e, 0x30, 0x02, 0xcf, 0xfe, 0xd9, 0xe5, 0x06, 0x34, 0x70, 0x17, 0x71, 0x84, 0x3e, 0x11, 0xaf, 0x8f, 0x6d, 0x54, 0xe2, 0xaa, 0x75, 0x42}, + subYX: fp.Elt{0x48, 0x43, 0x86, 0x49, 0x02, 0x5b, 0x5f, 0x31, 0x81, 0x83, 0x08, 0x77, 0x69, 0xb3, 0xd6, 0x3e, 0x95, 0xeb, 0x8d, 0x6a, 0x55, 0x75, 0xa0, 0xa3, 0x7f, 0xc7, 0xd5, 0x29, 0x80, 0x59, 0xab, 0x18}, + dt2: fp.Elt{0xe9, 0x89, 0x60, 0xfd, 0xc5, 0x2c, 0x2b, 0xd8, 0xa4, 0xe4, 0x82, 0x32, 0xa1, 0xb4, 0x1e, 0x03, 0x22, 0x86, 0x1a, 0xb5, 0x99, 0x11, 0x31, 0x44, 0x48, 0xf9, 0x3d, 0xb5, 0x22, 0x55, 0xc6, 0x3d}, + }, + { /* 13P */ + addYX: fp.Elt{0x6d, 0x7f, 0x00, 0xa2, 0x22, 0xc2, 0x70, 0xbf, 0xdb, 0xde, 0xbc, 0xb5, 0x9a, 0xb3, 0x84, 0xbf, 0x07, 0xba, 0x07, 0xfb, 0x12, 0x0e, 0x7a, 0x53, 0x41, 0xf2, 0x46, 0xc3, 0xee, 0xd7, 0x4f, 0x23}, + subYX: fp.Elt{0x93, 0xbf, 0x7f, 0x32, 0x3b, 0x01, 0x6f, 0x50, 0x6b, 0x6f, 0x77, 0x9b, 0xc9, 0xeb, 0xfc, 0xae, 0x68, 0x59, 0xad, 0xaa, 0x32, 0xb2, 0x12, 0x9d, 0xa7, 0x24, 0x60, 0x17, 0x2d, 0x88, 0x67, 0x02}, + dt2: fp.Elt{0x78, 0xa3, 0x2e, 0x73, 0x19, 0xa1, 0x60, 0x53, 0x71, 0xd4, 0x8d, 0xdf, 0xb1, 0xe6, 0x37, 0x24, 0x33, 0xe5, 0xa7, 0x91, 0xf8, 0x37, 0xef, 0xa2, 0x63, 0x78, 0x09, 0xaa, 0xfd, 0xa6, 0x7b, 0x49}, + }, + { /* 15P */ + addYX: fp.Elt{0xa0, 0xea, 0xcf, 0x13, 0x03, 0xcc, 0xce, 0x24, 0x6d, 0x24, 0x9c, 0x18, 0x8d, 0xc2, 0x48, 0x86, 0xd0, 0xd4, 0xf2, 0xc1, 0xfa, 0xbd, 0xbd, 0x2d, 0x2b, 0xe7, 0x2d, 0xf1, 0x17, 0x29, 0xe2, 0x61}, + subYX: fp.Elt{0x0b, 0xcf, 0x8c, 0x46, 0x86, 0xcd, 0x0b, 0x04, 0xd6, 0x10, 0x99, 0x2a, 0xa4, 0x9b, 0x82, 0xd3, 0x92, 0x51, 0xb2, 0x07, 0x08, 0x30, 0x08, 0x75, 0xbf, 0x5e, 0xd0, 0x18, 0x42, 0xcd, 0xb5, 0x43}, + dt2: fp.Elt{0x16, 0xb5, 0xd0, 0x9b, 0x2f, 0x76, 0x9a, 0x5d, 0xee, 0xde, 0x3f, 0x37, 0x4e, 0xaf, 0x38, 0xeb, 0x70, 0x42, 0xd6, 0x93, 0x7d, 0x5a, 0x2e, 0x03, 0x42, 0xd8, 0xe4, 0x0a, 0x21, 0x61, 0x1d, 0x51}, + }, + { /* 17P */ + addYX: fp.Elt{0x81, 0x9d, 0x0e, 0x95, 0xef, 0x76, 0xc6, 0x92, 0x4f, 0x04, 0xd7, 0xc0, 0xcd, 0x20, 0x46, 0xa5, 0x48, 0x12, 0x8f, 0x6f, 0x64, 0x36, 0x9b, 0xaa, 0xe3, 0x55, 0xb8, 0xdd, 0x24, 0x59, 0x32, 0x6d}, + subYX: fp.Elt{0x87, 0xde, 0x20, 0x44, 0x48, 0x86, 0x13, 0x08, 0xb4, 0xed, 0x92, 0xb5, 0x16, 0xf0, 0x1c, 0x8a, 0x25, 0x2d, 0x94, 0x29, 0x27, 0x4e, 0xfa, 0x39, 0x10, 0x28, 0x48, 0xe2, 0x6f, 0xfe, 0xa7, 0x71}, + dt2: fp.Elt{0x54, 0xc8, 0xc8, 0xa5, 0xb8, 0x82, 0x71, 0x6c, 0x03, 0x2a, 0x5f, 0xfe, 0x79, 0x14, 0xfd, 0x33, 0x0c, 0x8d, 0x77, 0x83, 0x18, 0x59, 0xcf, 0x72, 0xa9, 0xea, 0x9e, 0x55, 0xb6, 0xc4, 0x46, 0x47}, + }, + { /* 19P */ + addYX: fp.Elt{0x2b, 0x9a, 0xc6, 0x6d, 0x3c, 0x7b, 0x77, 0xd3, 0x17, 0xf6, 0x89, 0x6f, 0x27, 0xb2, 0xfa, 0xde, 0xb5, 0x16, 0x3a, 0xb5, 0xf7, 0x1c, 0x65, 0x45, 0xb7, 0x9f, 0xfe, 0x34, 0xde, 0x51, 0x9a, 0x5c}, + subYX: fp.Elt{0x47, 0x11, 0x74, 0x64, 0xc8, 0x46, 0x85, 0x34, 0x49, 0xc8, 0xfc, 0x0e, 0xdd, 0xae, 0x35, 0x7d, 0x32, 0xa3, 0x72, 0x06, 0x76, 0x9a, 0x93, 0xff, 0xd6, 0xe6, 0xb5, 0x7d, 0x49, 0x63, 0x96, 0x21}, + dt2: fp.Elt{0x67, 0x0e, 0xf1, 0x79, 0xcf, 0xf1, 0x10, 0xf5, 0x5b, 0x51, 0x58, 0xe6, 0xa1, 0xda, 0xdd, 0xff, 0x77, 0x22, 0x14, 0x10, 0x17, 0xa7, 0xc3, 0x09, 0xbb, 0x23, 0x82, 0x60, 0x3c, 0x50, 0x04, 0x48}, + }, + { /* 21P */ + addYX: fp.Elt{0xc7, 0x7f, 0xa3, 0x2c, 0xd0, 0x9e, 0x24, 0xc4, 0xab, 0xac, 0x15, 0xa6, 0xe3, 0xa0, 0x59, 0xa0, 0x23, 0x0e, 0x6e, 0xc9, 0xd7, 0x6e, 0xa9, 0x88, 0x6d, 0x69, 0x50, 0x16, 0xa5, 0x98, 0x33, 0x55}, + subYX: fp.Elt{0x75, 0xd1, 0x36, 0x3a, 0xd2, 0x21, 0x68, 0x3b, 0x32, 0x9e, 0x9b, 0xe9, 0xa7, 0x0a, 0xb4, 0xbb, 0x47, 0x8a, 0x83, 0x20, 0xe4, 0x5c, 0x9e, 0x5d, 0x5e, 0x4c, 0xde, 0x58, 0x88, 0x09, 0x1e, 0x77}, + dt2: fp.Elt{0xdf, 0x1e, 0x45, 0x78, 0xd2, 0xf5, 0x12, 0x9a, 0xcb, 0x9c, 0x89, 0x85, 0x79, 0x5d, 0xda, 0x3a, 0x08, 0x95, 0xa5, 0x9f, 0x2d, 0x4a, 0x7f, 0x47, 0x11, 0xa6, 0xf5, 0x8f, 0xd6, 0xd1, 0x5e, 0x5a}, + }, + { /* 23P */ + addYX: fp.Elt{0x83, 0x0e, 0x15, 0xfe, 0x2a, 0x12, 0x95, 0x11, 0xd8, 0x35, 0x4b, 0x7e, 0x25, 0x9a, 0x20, 0xcf, 0x20, 0x1e, 0x71, 0x1e, 0x29, 0xf8, 0x87, 0x73, 0xf0, 0x92, 0xbf, 0xd8, 0x97, 0xb8, 0xac, 0x44}, + subYX: fp.Elt{0x59, 0x73, 0x52, 0x58, 0xc5, 0xe0, 0xe5, 0xba, 0x7e, 0x9d, 0xdb, 0xca, 0x19, 0x5c, 0x2e, 0x39, 0xe9, 0xab, 0x1c, 0xda, 0x1e, 0x3c, 0x65, 0x28, 0x44, 0xdc, 0xef, 0x5f, 0x13, 0x60, 0x9b, 0x01}, + dt2: fp.Elt{0x83, 0x4b, 0x13, 0x5e, 0x14, 0x68, 0x60, 0x1e, 0x16, 0x4c, 0x30, 0x24, 0x4f, 0xe6, 0xf5, 0xc4, 0xd7, 0x3e, 0x1a, 0xfc, 0xa8, 0x88, 0x6e, 0x50, 0x92, 0x2f, 0xad, 0xe6, 0xfd, 0x49, 0x0c, 0x15}, + }, + { /* 25P */ + addYX: fp.Elt{0x38, 0x11, 0x47, 0x09, 0x95, 0xf2, 0x7b, 0x8e, 0x51, 0xa6, 0x75, 0x4f, 0x39, 0xef, 0x6f, 0x5d, 0xad, 0x08, 0xa7, 0x25, 0xc4, 0x79, 0xaf, 0x10, 0x22, 0x99, 0xb9, 0x5b, 0x07, 0x5a, 0x2b, 0x6b}, + subYX: fp.Elt{0x68, 0xa8, 0xdc, 0x9c, 0x3c, 0x86, 0x49, 0xb8, 0xd0, 0x4a, 0x71, 0xb8, 0xdb, 0x44, 0x3f, 0xc8, 0x8d, 0x16, 0x36, 0x0c, 0x56, 0xe3, 0x3e, 0xfe, 0xc1, 0xfb, 0x05, 0x1e, 0x79, 0xd7, 0xa6, 0x78}, + dt2: fp.Elt{0x76, 0xb9, 0xa0, 0x47, 0x4b, 0x70, 0xbf, 0x58, 0xd5, 0x48, 0x17, 0x74, 0x55, 0xb3, 0x01, 0xa6, 0x90, 0xf5, 0x42, 0xd5, 0xb1, 0x1f, 0x2b, 0xaa, 0x00, 0x5d, 0xd5, 0x4a, 0xfc, 0x7f, 0x5c, 0x72}, + }, + { /* 27P */ + addYX: fp.Elt{0xb2, 0x99, 0xcf, 0xd1, 0x15, 0x67, 0x42, 0xe4, 0x34, 0x0d, 0xa2, 0x02, 0x11, 0xd5, 0x52, 0x73, 0x9f, 0x10, 0x12, 0x8b, 0x7b, 0x15, 0xd1, 0x23, 0xa3, 0xf3, 0xb1, 0x7c, 0x27, 0xc9, 0x4c, 0x79}, + subYX: fp.Elt{0xc0, 0x98, 0xd0, 0x1c, 0xf7, 0x2b, 0x80, 0x91, 0x66, 0x63, 0x5e, 0xed, 0xa4, 0x6c, 0x41, 0xfe, 0x4c, 0x99, 0x02, 0x49, 0x71, 0x5d, 0x58, 0xdf, 0xe7, 0xfa, 0x55, 0xf8, 0x25, 0x46, 0xd5, 0x4c}, + dt2: fp.Elt{0x53, 0x50, 0xac, 0xc2, 0x26, 0xc4, 0xf6, 0x4a, 0x58, 0x72, 0xf6, 0x32, 0xad, 0xed, 0x9a, 0xbc, 0x21, 0x10, 0x31, 0x0a, 0xf1, 0x32, 0xd0, 0x2a, 0x85, 0x8e, 0xcc, 0x6f, 0x7b, 0x35, 0x08, 0x70}, + }, + { /* 29P */ + addYX: fp.Elt{0x01, 0x3f, 0x77, 0x38, 0x27, 0x67, 0x88, 0x0b, 0xfb, 0xcc, 0xfb, 0x95, 0xfa, 0xc8, 0xcc, 0xb8, 0xb6, 0x29, 0xad, 0xb9, 0xa3, 0xd5, 0x2d, 0x8d, 0x6a, 0x0f, 0xad, 0x51, 0x98, 0x7e, 0xef, 0x06}, + subYX: fp.Elt{0x34, 0x4a, 0x58, 0x82, 0xbb, 0x9f, 0x1b, 0xd0, 0x2b, 0x79, 0xb4, 0xd2, 0x63, 0x64, 0xab, 0x47, 0x02, 0x62, 0x53, 0x48, 0x9c, 0x63, 0x31, 0xb6, 0x28, 0xd4, 0xd6, 0x69, 0x36, 0x2a, 0xa9, 0x13}, + dt2: fp.Elt{0xe5, 0x7d, 0x57, 0xc0, 0x1c, 0x77, 0x93, 0xca, 0x5c, 0xdc, 0x35, 0x50, 0x1e, 0xe4, 0x40, 0x75, 0x71, 0xe0, 0x02, 0xd8, 0x01, 0x0f, 0x68, 0x24, 0x6a, 0xf8, 0x2a, 0x8a, 0xdf, 0x6d, 0x29, 0x3c}, + }, + { /* 31P */ + addYX: fp.Elt{0x13, 0xa7, 0x14, 0xd9, 0xf9, 0x15, 0xad, 0xae, 0x12, 0xf9, 0x8f, 0x8c, 0xf9, 0x7b, 0x2f, 0xa9, 0x30, 0xd7, 0x53, 0x9f, 0x17, 0x23, 0xf8, 0xaf, 0xba, 0x77, 0x0c, 0x49, 0x93, 0xd3, 0x99, 0x7a}, + subYX: fp.Elt{0x41, 0x25, 0x1f, 0xbb, 0x2e, 0x4d, 0xeb, 0xfc, 0x1f, 0xb9, 0xad, 0x40, 0xc7, 0x10, 0x95, 0xb8, 0x05, 0xad, 0xa1, 0xd0, 0x7d, 0xa3, 0x71, 0xfc, 0x7b, 0x71, 0x47, 0x07, 0x70, 0x2c, 0x89, 0x0a}, + dt2: fp.Elt{0xe8, 0xa3, 0xbd, 0x36, 0x24, 0xed, 0x52, 0x8f, 0x94, 0x07, 0xe8, 0x57, 0x41, 0xc8, 0xa8, 0x77, 0xe0, 0x9c, 0x2f, 0x26, 0x63, 0x65, 0xa9, 0xa5, 0xd2, 0xf7, 0x02, 0x83, 0xd2, 0x62, 0x67, 0x28}, + }, + { /* 33P */ + addYX: fp.Elt{0x25, 0x5b, 0xe3, 0x3c, 0x09, 0x36, 0x78, 0x4e, 0x97, 0xaa, 0x6b, 0xb2, 0x1d, 0x18, 0xe1, 0x82, 0x3f, 0xb8, 0xc7, 0xcb, 0xd3, 0x92, 0xc1, 0x0c, 0x3a, 0x9d, 0x9d, 0x6a, 0x04, 0xda, 0xf1, 0x32}, + subYX: fp.Elt{0xbd, 0xf5, 0x2e, 0xce, 0x2b, 0x8e, 0x55, 0x7c, 0x63, 0xbc, 0x47, 0x67, 0xb4, 0x6c, 0x98, 0xe4, 0xb8, 0x89, 0xbb, 0x3b, 0x9f, 0x17, 0x4a, 0x15, 0x7a, 0x76, 0xf1, 0xd6, 0xa3, 0xf2, 0x86, 0x76}, + dt2: fp.Elt{0x6a, 0x7c, 0x59, 0x6d, 0xa6, 0x12, 0x8d, 0xaa, 0x2b, 0x85, 0xd3, 0x04, 0x03, 0x93, 0x11, 0x8f, 0x22, 0xb0, 0x09, 0xc2, 0x73, 0xdc, 0x91, 0x3f, 0xa6, 0x28, 0xad, 0xa9, 0xf8, 0x05, 0x13, 0x56}, + }, + { /* 35P */ + addYX: fp.Elt{0xd1, 0xae, 0x92, 0xec, 0x8d, 0x97, 0x0c, 0x10, 0xe5, 0x73, 0x6d, 0x4d, 0x43, 0xd5, 0x43, 0xca, 0x48, 0xba, 0x47, 0xd8, 0x22, 0x1b, 0x13, 0x83, 0x2c, 0x4d, 0x5d, 0xe3, 0x53, 0xec, 0xaa}, + subYX: fp.Elt{0xd5, 0xc0, 0xb0, 0xe7, 0x28, 0xcc, 0x22, 0x67, 0x53, 0x5c, 0x07, 0xdb, 0xbb, 0xe9, 0x9d, 0x70, 0x61, 0x0a, 0x01, 0xd7, 0xa7, 0x8d, 0xf6, 0xca, 0x6c, 0xcc, 0x57, 0x2c, 0xef, 0x1a, 0x0a, 0x03}, + dt2: fp.Elt{0xaa, 0xd2, 0x3a, 0x00, 0x73, 0xf7, 0xb1, 0x7b, 0x08, 0x66, 0x21, 0x2b, 0x80, 0x29, 0x3f, 0x0b, 0x3e, 0xd2, 0x0e, 0x52, 0x86, 0xdc, 0x21, 0x78, 0x80, 0x54, 0x06, 0x24, 0x1c, 0x9c, 0xbe, 0x20}, + }, + { /* 37P */ + addYX: fp.Elt{0xa6, 0x73, 0x96, 0x24, 0xd8, 0x87, 0x53, 0xe1, 0x93, 0xe4, 0x46, 0xf5, 0x2d, 0xbc, 0x43, 0x59, 0xb5, 0x63, 0x6f, 0xc3, 0x81, 0x9a, 0x7f, 0x1c, 0xde, 0xc1, 0x0a, 0x1f, 0x36, 0xb3, 0x0a, 0x75}, + subYX: fp.Elt{0x60, 0x5e, 0x02, 0xe2, 0x4a, 0xe4, 0xe0, 0x20, 0x38, 0xb9, 0xdc, 0xcb, 0x2f, 0x3b, 0x3b, 0xb0, 0x1c, 0x0d, 0x5a, 0xf9, 0x9c, 0x63, 0x5d, 0x10, 0x11, 0xe3, 0x67, 0x50, 0x54, 0x4c, 0x76, 0x69}, + dt2: fp.Elt{0x37, 0x10, 0xf8, 0xa2, 0x83, 0x32, 0x8a, 0x1e, 0xf1, 0xcb, 0x7f, 0xbd, 0x23, 0xda, 0x2e, 0x6f, 0x63, 0x25, 0x2e, 0xac, 0x5b, 0xd1, 0x2f, 0xb7, 0x40, 0x50, 0x07, 0xb7, 0x3f, 0x6b, 0xf9, 0x54}, + }, + { /* 39P */ + addYX: fp.Elt{0x79, 0x92, 0x66, 0x29, 0x04, 0xf2, 0xad, 0x0f, 0x4a, 0x72, 0x7d, 0x7d, 0x04, 0xa2, 0xdd, 0x3a, 0xf1, 0x60, 0x57, 0x8c, 0x82, 0x94, 0x3d, 0x6f, 0x9e, 0x53, 0xb7, 0x2b, 0xc5, 0xe9, 0x7f, 0x3d}, + subYX: fp.Elt{0xcd, 0x1e, 0xb1, 0x16, 0xc6, 0xaf, 0x7d, 0x17, 0x79, 0x64, 0x57, 0xfa, 0x9c, 0x4b, 0x76, 0x89, 0x85, 0xe7, 0xec, 0xe6, 0x10, 0xa1, 0xa8, 0xb7, 0xf0, 0xdb, 0x85, 0xbe, 0x9f, 0x83, 0xe6, 0x78}, + dt2: fp.Elt{0x6b, 0x85, 0xb8, 0x37, 0xf7, 0x2d, 0x33, 0x70, 0x8a, 0x17, 0x1a, 0x04, 0x43, 0x5d, 0xd0, 0x75, 0x22, 0x9e, 0xe5, 0xa0, 0x4a, 0xf7, 0x0f, 0x32, 0x42, 0x82, 0x08, 0x50, 0xf3, 0x68, 0xf2, 0x70}, + }, + { /* 41P */ + addYX: fp.Elt{0x47, 0x5f, 0x80, 0xb1, 0x83, 0x45, 0x86, 0x66, 0x19, 0x7c, 0xdd, 0x60, 0xd1, 0xc5, 0x35, 0xf5, 0x06, 0xb0, 0x4c, 0x1e, 0xb7, 0x4e, 0x87, 0xe9, 0xd9, 0x89, 0xd8, 0xfa, 0x5c, 0x34, 0x0d, 0x7c}, + subYX: fp.Elt{0x55, 0xf3, 0xdc, 0x70, 0x20, 0x11, 0x24, 0x23, 0x17, 0xe1, 0xfc, 0xe7, 0x7e, 0xc9, 0x0c, 0x38, 0x98, 0xb6, 0x52, 0x35, 0xed, 0xde, 0x1d, 0xb3, 0xb9, 0xc4, 0xb8, 0x39, 0xc0, 0x56, 0x4e, 0x40}, + dt2: fp.Elt{0x8a, 0x33, 0x78, 0x8c, 0x4b, 0x1f, 0x1f, 0x59, 0xe1, 0xb5, 0xe0, 0x67, 0xb1, 0x6a, 0x36, 0xa0, 0x44, 0x3d, 0x5f, 0xb4, 0x52, 0x41, 0xbc, 0x5c, 0x77, 0xc7, 0xae, 0x2a, 0x76, 0x54, 0xd7, 0x20}, + }, + { /* 43P */ + addYX: fp.Elt{0x58, 0xb7, 0x3b, 0xc7, 0x6f, 0xc3, 0x8f, 0x5e, 0x9a, 0xbb, 0x3c, 0x36, 0xa5, 0x43, 0xe5, 0xac, 0x22, 0xc9, 0x3b, 0x90, 0x7d, 0x4a, 0x93, 0xa9, 0x62, 0xec, 0xce, 0xf3, 0x46, 0x1e, 0x8f, 0x2b}, + subYX: fp.Elt{0x43, 0xf5, 0xb9, 0x35, 0xb1, 0xfe, 0x74, 0x9d, 0x6c, 0x95, 0x8c, 0xde, 0xf1, 0x7d, 0xb3, 0x84, 0xa9, 0x8b, 0x13, 0x57, 0x07, 0x2b, 0x32, 0xe9, 0xe1, 0x4c, 0x0b, 0x79, 0xa8, 0xad, 0xb8, 0x38}, + dt2: fp.Elt{0x5d, 0xf9, 0x51, 0xdf, 0x9c, 0x4a, 0xc0, 0xb5, 0xac, 0xde, 0x1f, 0xcb, 0xae, 0x52, 0x39, 0x2b, 0xda, 0x66, 0x8b, 0x32, 0x8b, 0x6d, 0x10, 0x1d, 0x53, 0x19, 0xba, 0xce, 0x32, 0xeb, 0x9a, 0x04}, + }, + { /* 45P */ + addYX: fp.Elt{0x31, 0x79, 0xfc, 0x75, 0x0b, 0x7d, 0x50, 0xaa, 0xd3, 0x25, 0x67, 0x7a, 0x4b, 0x92, 0xef, 0x0f, 0x30, 0x39, 0x6b, 0x39, 0x2b, 0x54, 0x82, 0x1d, 0xfc, 0x74, 0xf6, 0x30, 0x75, 0xe1, 0x5e, 0x79}, + subYX: fp.Elt{0x7e, 0xfe, 0xdc, 0x63, 0x3c, 0x7d, 0x76, 0xd7, 0x40, 0x6e, 0x85, 0x97, 0x48, 0x59, 0x9c, 0x20, 0x13, 0x7c, 0x4f, 0xe1, 0x61, 0x68, 0x67, 0xb6, 0xfc, 0x25, 0xd6, 0xc8, 0xe0, 0x65, 0xc6, 0x51}, + dt2: fp.Elt{0x81, 0xbd, 0xec, 0x52, 0x0a, 0x5b, 0x4a, 0x25, 0xe7, 0xaf, 0x34, 0xe0, 0x6e, 0x1f, 0x41, 0x5d, 0x31, 0x4a, 0xee, 0xca, 0x0d, 0x4d, 0xa2, 0xe6, 0x77, 0x44, 0xc5, 0x9d, 0xf4, 0x9b, 0xd1, 0x6c}, + }, + { /* 47P */ + addYX: fp.Elt{0x86, 0xc3, 0xaf, 0x65, 0x21, 0x61, 0xfe, 0x1f, 0x10, 0x1b, 0xd5, 0xb8, 0x88, 0x2a, 0x2a, 0x08, 0xaa, 0x0b, 0x99, 0x20, 0x7e, 0x62, 0xf6, 0x76, 0xe7, 0x43, 0x9e, 0x42, 0xa7, 0xb3, 0x01, 0x5e}, + subYX: fp.Elt{0xa3, 0x9c, 0x17, 0x52, 0x90, 0x61, 0x87, 0x7e, 0x85, 0x9f, 0x2c, 0x0b, 0x06, 0x0a, 0x1d, 0x57, 0x1e, 0x71, 0x99, 0x84, 0xa8, 0xba, 0xa2, 0x80, 0x38, 0xe6, 0xb2, 0x40, 0xdb, 0xf3, 0x20, 0x75}, + dt2: fp.Elt{0xa1, 0x57, 0x93, 0xd3, 0xe3, 0x0b, 0xb5, 0x3d, 0xa5, 0x94, 0x9e, 0x59, 0xdd, 0x6c, 0x7b, 0x96, 0x6e, 0x1e, 0x31, 0xdf, 0x64, 0x9a, 0x30, 0x1a, 0x86, 0xc9, 0xf3, 0xce, 0x9c, 0x2c, 0x09, 0x71}, + }, + { /* 49P */ + addYX: fp.Elt{0xcf, 0x1d, 0x05, 0x74, 0xac, 0xd8, 0x6b, 0x85, 0x1e, 0xaa, 0xb7, 0x55, 0x08, 0xa4, 0xf6, 0x03, 0xeb, 0x3c, 0x74, 0xc9, 0xcb, 0xe7, 0x4a, 0x3a, 0xde, 0xab, 0x37, 0x71, 0xbb, 0xa5, 0x73, 0x41}, + subYX: fp.Elt{0x8c, 0x91, 0x64, 0x03, 0x3f, 0x52, 0xd8, 0x53, 0x1c, 0x6b, 0xab, 0x3f, 0xf4, 0x04, 0xb4, 0xa2, 0xa4, 0xe5, 0x81, 0x66, 0x9e, 0x4a, 0x0b, 0x08, 0xa7, 0x7b, 0x25, 0xd0, 0x03, 0x5b, 0xa1, 0x0e}, + dt2: fp.Elt{0x8a, 0x21, 0xf9, 0xf0, 0x31, 0x6e, 0xc5, 0x17, 0x08, 0x47, 0xfc, 0x1a, 0x2b, 0x6e, 0x69, 0x5a, 0x76, 0xf1, 0xb2, 0xf4, 0x68, 0x16, 0x93, 0xf7, 0x67, 0x3a, 0x4e, 0x4a, 0x61, 0x65, 0xc5, 0x5f}, + }, + { /* 51P */ + addYX: fp.Elt{0x8e, 0x98, 0x90, 0x77, 0xe6, 0xe1, 0x92, 0x48, 0x22, 0xd7, 0x5c, 0x1c, 0x0f, 0x95, 0xd5, 0x01, 0xed, 0x3e, 0x92, 0xe5, 0x9a, 0x81, 0xb0, 0xe3, 0x1b, 0x65, 0x46, 0x9d, 0x40, 0xc7, 0x14, 0x32}, + subYX: fp.Elt{0xe5, 0x7a, 0x6d, 0xc4, 0x0d, 0x57, 0x6e, 0x13, 0x8f, 0xdc, 0xf8, 0x54, 0xcc, 0xaa, 0xd0, 0x0f, 0x86, 0xad, 0x0d, 0x31, 0x03, 0x9f, 0x54, 0x59, 0xa1, 0x4a, 0x45, 0x4c, 0x41, 0x1c, 0x71, 0x62}, + dt2: fp.Elt{0x70, 0x17, 0x65, 0x06, 0x74, 0x82, 0x29, 0x13, 0x36, 0x94, 0x27, 0x8a, 0x66, 0xa0, 0xa4, 0x3b, 0x3c, 0x22, 0x5d, 0x18, 0xec, 0xb8, 0xb6, 0xd9, 0x3c, 0x83, 0xcb, 0x3e, 0x07, 0x94, 0xea, 0x5b}, + }, + { /* 53P */ + addYX: fp.Elt{0xf8, 0xd2, 0x43, 0xf3, 0x63, 0xce, 0x70, 0xb4, 0xf1, 0xe8, 0x43, 0x05, 0x8f, 0xba, 0x67, 0x00, 0x6f, 0x7b, 0x11, 0xa2, 0xa1, 0x51, 0xda, 0x35, 0x2f, 0xbd, 0xf1, 0x44, 0x59, 0x78, 0xd0, 0x4a}, + subYX: fp.Elt{0xe4, 0x9b, 0xc8, 0x12, 0x09, 0xbf, 0x1d, 0x64, 0x9c, 0x57, 0x6e, 0x7d, 0x31, 0x8b, 0xf3, 0xac, 0x65, 0xb0, 0x97, 0xf6, 0x02, 0x9e, 0xfe, 0xab, 0xec, 0x1e, 0xf6, 0x48, 0xc1, 0xd5, 0xac, 0x3a}, + dt2: fp.Elt{0x01, 0x83, 0x31, 0xc3, 0x34, 0x3b, 0x8e, 0x85, 0x26, 0x68, 0x31, 0x07, 0x47, 0xc0, 0x99, 0xdc, 0x8c, 0xa8, 0x9d, 0xd3, 0x2e, 0x5b, 0x08, 0x34, 0x3d, 0x85, 0x02, 0xd9, 0xb1, 0x0c, 0xff, 0x3a}, + }, + { /* 55P */ + addYX: fp.Elt{0x05, 0x35, 0xc5, 0xf4, 0x0b, 0x43, 0x26, 0x92, 0x83, 0x22, 0x1f, 0x26, 0x13, 0x9c, 0xe4, 0x68, 0xc6, 0x27, 0xd3, 0x8f, 0x78, 0x33, 0xef, 0x09, 0x7f, 0x9e, 0xd9, 0x2b, 0x73, 0x9f, 0xcf, 0x2c}, + subYX: fp.Elt{0x5e, 0x40, 0x20, 0x3a, 0xeb, 0xc7, 0xc5, 0x87, 0xc9, 0x56, 0xad, 0xed, 0xef, 0x11, 0xe3, 0x8e, 0xf9, 0xd5, 0x29, 0xad, 0x48, 0x2e, 0x25, 0x29, 0x1d, 0x25, 0xcd, 0xf4, 0x86, 0x7e, 0x0e, 0x11}, + dt2: fp.Elt{0xe4, 0xf5, 0x03, 0xd6, 0x9e, 0xd8, 0xc0, 0x57, 0x0c, 0x20, 0xb0, 0xf0, 0x28, 0x86, 0x88, 0x12, 0xb7, 0x3b, 0x2e, 0xa0, 0x09, 0x27, 0x17, 0x53, 0x37, 0x3a, 0x69, 0xb9, 0xe0, 0x57, 0xc5, 0x05}, + }, + { /* 57P */ + addYX: fp.Elt{0xb0, 0x0e, 0xc2, 0x89, 0xb0, 0xbb, 0x76, 0xf7, 0x5c, 0xd8, 0x0f, 0xfa, 0xf6, 0x5b, 0xf8, 0x61, 0xfb, 0x21, 0x44, 0x63, 0x4e, 0x3f, 0xb9, 0xb6, 0x05, 0x12, 0x86, 0x41, 0x08, 0xef, 0x9f, 0x28}, + subYX: fp.Elt{0x6f, 0x7e, 0xc9, 0x1f, 0x31, 0xce, 0xf9, 0xd8, 0xae, 0xfd, 0xf9, 0x11, 0x30, 0x26, 0x3f, 0x7a, 0xdd, 0x25, 0xed, 0x8b, 0xa0, 0x7e, 0x5b, 0xe1, 0x5a, 0x87, 0xe9, 0x8f, 0x17, 0x4c, 0x15, 0x6e}, + dt2: fp.Elt{0xbf, 0x9a, 0xd6, 0xfe, 0x36, 0x63, 0x61, 0xcf, 0x4f, 0xc9, 0x35, 0x83, 0xe7, 0xe4, 0x16, 0x9b, 0xe7, 0x7f, 0x3a, 0x75, 0x65, 0x97, 0x78, 0x13, 0x19, 0xa3, 0x5c, 0xa9, 0x42, 0xf6, 0xfb, 0x6a}, + }, + { /* 59P */ + addYX: fp.Elt{0xcc, 0xa8, 0x13, 0xf9, 0x70, 0x50, 0xe5, 0x5d, 0x61, 0xf5, 0x0c, 0x2b, 0x7b, 0x16, 0x1d, 0x7d, 0x89, 0xd4, 0xea, 0x90, 0xb6, 0x56, 0x29, 0xda, 0xd9, 0x1e, 0x80, 0xdb, 0xce, 0x93, 0xc0, 0x12}, + subYX: fp.Elt{0xc1, 0xd2, 0xf5, 0x62, 0x0c, 0xde, 0xa8, 0x7d, 0x9a, 0x7b, 0x0e, 0xb0, 0xa4, 0x3d, 0xfc, 0x98, 0xe0, 0x70, 0xad, 0x0d, 0xda, 0x6a, 0xeb, 0x7d, 0xc4, 0x38, 0x50, 0xb9, 0x51, 0xb8, 0xb4, 0x0d}, + dt2: fp.Elt{0x0f, 0x19, 0xb8, 0x08, 0x93, 0x7f, 0x14, 0xfc, 0x10, 0xe3, 0x1a, 0xa1, 0xa0, 0x9d, 0x96, 0x06, 0xfd, 0xd7, 0xc7, 0xda, 0x72, 0x55, 0xe7, 0xce, 0xe6, 0x5c, 0x63, 0xc6, 0x99, 0x87, 0xaa, 0x33}, + }, + { /* 61P */ + addYX: fp.Elt{0xb1, 0x6c, 0x15, 0xfc, 0x88, 0xf5, 0x48, 0x83, 0x27, 0x6d, 0x0a, 0x1a, 0x9b, 0xba, 0xa2, 0x6d, 0xb6, 0x5a, 0xca, 0x87, 0x5c, 0x2d, 0x26, 0xe2, 0xa6, 0x89, 0xd5, 0xc8, 0xc1, 0xd0, 0x2c, 0x21}, + subYX: fp.Elt{0xf2, 0x5c, 0x08, 0xbd, 0x1e, 0xf5, 0x0f, 0xaf, 0x1f, 0x3f, 0xd3, 0x67, 0x89, 0x1a, 0xf5, 0x78, 0x3c, 0x03, 0x60, 0x50, 0xe1, 0xbf, 0xc2, 0x6e, 0x86, 0x1a, 0xe2, 0xe8, 0x29, 0x6f, 0x3c, 0x23}, + dt2: fp.Elt{0x81, 0xc7, 0x18, 0x7f, 0x10, 0xd5, 0xf4, 0xd2, 0x28, 0x9d, 0x7e, 0x52, 0xf2, 0xcd, 0x2e, 0x12, 0x41, 0x33, 0x3d, 0x3d, 0x2a, 0x86, 0x0a, 0xa7, 0xe3, 0x4c, 0x91, 0x11, 0x89, 0x77, 0xb7, 0x1d}, + }, + { /* 63P */ + addYX: fp.Elt{0xb6, 0x1a, 0x70, 0xdd, 0x69, 0x47, 0x39, 0xb3, 0xa5, 0x8d, 0xcf, 0x19, 0xd4, 0xde, 0xb8, 0xe2, 0x52, 0xc8, 0x2a, 0xfd, 0x61, 0x41, 0xdf, 0x15, 0xbe, 0x24, 0x7d, 0x01, 0x8a, 0xca, 0xe2, 0x7a}, + subYX: fp.Elt{0x6f, 0xc2, 0x6b, 0x7c, 0x39, 0x52, 0xf3, 0xdd, 0x13, 0x01, 0xd5, 0x53, 0xcc, 0xe2, 0x97, 0x7a, 0x30, 0xa3, 0x79, 0xbf, 0x3a, 0xf4, 0x74, 0x7c, 0xfc, 0xad, 0xe2, 0x26, 0xad, 0x97, 0xad, 0x31}, + dt2: fp.Elt{0x62, 0xb9, 0x20, 0x09, 0xed, 0x17, 0xe8, 0xb7, 0x9d, 0xda, 0x19, 0x3f, 0xcc, 0x18, 0x85, 0x1e, 0x64, 0x0a, 0x56, 0x25, 0x4f, 0xc1, 0x91, 0xe4, 0x83, 0x2c, 0x62, 0xa6, 0x53, 0xfc, 0xd1, 0x1e}, + }, +} diff --git a/vendor/github.com/cloudflare/circl/sign/ed448/ed448.go b/vendor/github.com/cloudflare/circl/sign/ed448/ed448.go new file mode 100644 index 0000000000..36bceb3803 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/ed448/ed448.go @@ -0,0 +1,410 @@ +// Package ed448 implements Ed448 signature scheme as described in RFC-8032. +// +// This package implements two signature variants. +// +// | Scheme Name | Sign Function | Verification | Context | +// |-------------|-------------------|---------------|-------------------| +// | Ed448 | Sign | Verify | Yes, can be empty | +// | Ed448Ph | SignPh | VerifyPh | Yes, can be empty | +// | All above | (PrivateKey).Sign | VerifyAny | As above | +// +// Specific functions for sign and verify are defined. A generic signing +// function for all schemes is available through the crypto.Signer interface, +// which is implemented by the PrivateKey type. A correspond all-in-one +// verification method is provided by the VerifyAny function. +// +// Both schemes require a context string for domain separation. This parameter +// is passed using a SignerOptions struct defined in this package. +// +// References: +// +// - RFC8032 https://rfc-editor.org/rfc/rfc8032.txt +// - EdDSA for more curves https://eprint.iacr.org/2015/677 +// - High-speed high-security signatures. https://doi.org/10.1007/s13389-012-0027-1 +package ed448 + +import ( + "bytes" + "crypto" + cryptoRand "crypto/rand" + "crypto/subtle" + "errors" + "fmt" + "io" + "strconv" + + "github.com/cloudflare/circl/ecc/goldilocks" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/sign" +) + +const ( + // ContextMaxSize is the maximum length (in bytes) allowed for context. + ContextMaxSize = 255 + // PublicKeySize is the length in bytes of Ed448 public keys. + PublicKeySize = 57 + // PrivateKeySize is the length in bytes of Ed448 private keys. + PrivateKeySize = 114 + // SignatureSize is the length in bytes of signatures. + SignatureSize = 114 + // SeedSize is the size, in bytes, of private key seeds. These are the private key representations used by RFC 8032. + SeedSize = 57 +) + +const ( + paramB = 456 / 8 // Size of keys in bytes. + hashSize = 2 * paramB // Size of the hash function's output. +) + +// SignerOptions implements crypto.SignerOpts and augments with parameters +// that are specific to the Ed448 signature schemes. +type SignerOptions struct { + // Hash must be crypto.Hash(0) for both Ed448 and Ed448Ph. + crypto.Hash + + // Context is an optional domain separation string for signing. + // Its length must be less or equal than 255 bytes. + Context string + + // Scheme is an identifier for choosing a signature scheme. + Scheme SchemeID +} + +// SchemeID is an identifier for each signature scheme. +type SchemeID uint + +const ( + ED448 SchemeID = iota + ED448Ph +) + +// PublicKey is the type of Ed448 public keys. +type PublicKey []byte + +// Equal reports whether pub and x have the same value. +func (pub PublicKey) Equal(x crypto.PublicKey) bool { + xx, ok := x.(PublicKey) + return ok && bytes.Equal(pub, xx) +} + +// PrivateKey is the type of Ed448 private keys. It implements crypto.Signer. +type PrivateKey []byte + +// Equal reports whether priv and x have the same value. +func (priv PrivateKey) Equal(x crypto.PrivateKey) bool { + xx, ok := x.(PrivateKey) + return ok && subtle.ConstantTimeCompare(priv, xx) == 1 +} + +// Public returns the PublicKey corresponding to priv. +func (priv PrivateKey) Public() crypto.PublicKey { + publicKey := make([]byte, PublicKeySize) + copy(publicKey, priv[SeedSize:]) + return PublicKey(publicKey) +} + +// Seed returns the private key seed corresponding to priv. It is provided for +// interoperability with RFC 8032. RFC 8032's private keys correspond to seeds +// in this package. +func (priv PrivateKey) Seed() []byte { + seed := make([]byte, SeedSize) + copy(seed, priv[:SeedSize]) + return seed +} + +func (priv PrivateKey) Scheme() sign.Scheme { return sch } + +func (pub PublicKey) Scheme() sign.Scheme { return sch } + +func (priv PrivateKey) MarshalBinary() (data []byte, err error) { + privateKey := make(PrivateKey, PrivateKeySize) + copy(privateKey, priv) + return privateKey, nil +} + +func (pub PublicKey) MarshalBinary() (data []byte, err error) { + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, pub) + return publicKey, nil +} + +// Sign creates a signature of a message given a key pair. +// This function supports all the two signature variants defined in RFC-8032, +// namely Ed448 (or pure EdDSA) and Ed448Ph. +// The opts.HashFunc() must return zero to the specify Ed448 variant. This can +// be achieved by passing crypto.Hash(0) as the value for opts. +// Use an Options struct to pass a bool indicating that the ed448Ph variant +// should be used. +// The struct can also be optionally used to pass a context string for signing. +func (priv PrivateKey) Sign( + rand io.Reader, + message []byte, + opts crypto.SignerOpts) (signature []byte, err error) { + var ctx string + var scheme SchemeID + + if o, ok := opts.(SignerOptions); ok { + ctx = o.Context + scheme = o.Scheme + } + + switch true { + case scheme == ED448 && opts.HashFunc() == crypto.Hash(0): + return Sign(priv, message, ctx), nil + case scheme == ED448Ph && opts.HashFunc() == crypto.Hash(0): + return SignPh(priv, message, ctx), nil + default: + return nil, errors.New("ed448: bad hash algorithm") + } +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (PublicKey, PrivateKey, error) { + if rand == nil { + rand = cryptoRand.Reader + } + + seed := make(PrivateKey, SeedSize) + if _, err := io.ReadFull(rand, seed); err != nil { + return nil, nil, err + } + + privateKey := NewKeyFromSeed(seed) + publicKey := make([]byte, PublicKeySize) + copy(publicKey, privateKey[SeedSize:]) + + return publicKey, privateKey, nil +} + +// NewKeyFromSeed calculates a private key from a seed. It will panic if +// len(seed) is not SeedSize. This function is provided for interoperability +// with RFC 8032. RFC 8032's private keys correspond to seeds in this +// package. +func NewKeyFromSeed(seed []byte) PrivateKey { + privateKey := make([]byte, PrivateKeySize) + newKeyFromSeed(privateKey, seed) + return privateKey +} + +func newKeyFromSeed(privateKey, seed []byte) { + if l := len(seed); l != SeedSize { + panic("ed448: bad seed length: " + strconv.Itoa(l)) + } + + var h [hashSize]byte + H := sha3.NewShake256() + _, _ = H.Write(seed) + _, _ = H.Read(h[:]) + s := &goldilocks.Scalar{} + deriveSecretScalar(s, h[:paramB]) + + copy(privateKey[:SeedSize], seed) + _ = goldilocks.Curve{}.ScalarBaseMult(s).ToBytes(privateKey[SeedSize:]) +} + +func signAll(signature []byte, privateKey PrivateKey, message, ctx []byte, preHash bool) { + if len(ctx) > ContextMaxSize { + panic(fmt.Errorf("ed448: bad context length: " + strconv.Itoa(len(ctx)))) + } + + H := sha3.NewShake256() + var PHM []byte + + if preHash { + var h [64]byte + _, _ = H.Write(message) + _, _ = H.Read(h[:]) + PHM = h[:] + H.Reset() + } else { + PHM = message + } + + // 1. Hash the 57-byte private key using SHAKE256(x, 114). + var h [hashSize]byte + _, _ = H.Write(privateKey[:SeedSize]) + _, _ = H.Read(h[:]) + s := &goldilocks.Scalar{} + deriveSecretScalar(s, h[:paramB]) + prefix := h[paramB:] + + // 2. Compute SHAKE256(dom4(F, C) || prefix || PH(M), 114). + var rPM [hashSize]byte + H.Reset() + + writeDom(&H, ctx, preHash) + + _, _ = H.Write(prefix) + _, _ = H.Write(PHM) + _, _ = H.Read(rPM[:]) + + // 3. Compute the point [r]B. + r := &goldilocks.Scalar{} + r.FromBytes(rPM[:]) + R := (&[paramB]byte{})[:] + if err := (goldilocks.Curve{}.ScalarBaseMult(r).ToBytes(R)); err != nil { + panic(err) + } + // 4. Compute SHAKE256(dom4(F, C) || R || A || PH(M), 114) + var hRAM [hashSize]byte + H.Reset() + + writeDom(&H, ctx, preHash) + + _, _ = H.Write(R) + _, _ = H.Write(privateKey[SeedSize:]) + _, _ = H.Write(PHM) + _, _ = H.Read(hRAM[:]) + + // 5. Compute S = (r + k * s) mod order. + k := &goldilocks.Scalar{} + k.FromBytes(hRAM[:]) + S := &goldilocks.Scalar{} + S.Mul(k, s) + S.Add(S, r) + + // 6. The signature is the concatenation of R and S. + copy(signature[:paramB], R[:]) + copy(signature[paramB:], S[:]) +} + +// Sign signs the message with privateKey and returns a signature. +// This function supports the signature variant defined in RFC-8032: Ed448, +// also known as the pure version of EdDSA. +// It will panic if len(privateKey) is not PrivateKeySize. +func Sign(priv PrivateKey, message []byte, ctx string) []byte { + signature := make([]byte, SignatureSize) + signAll(signature, priv, message, []byte(ctx), false) + return signature +} + +// SignPh creates a signature of a message given a keypair. +// This function supports the signature variant defined in RFC-8032: Ed448ph, +// meaning it internally hashes the message using SHAKE-256. +// Context could be passed to this function, which length should be no more than +// 255. It can be empty. +func SignPh(priv PrivateKey, message []byte, ctx string) []byte { + signature := make([]byte, SignatureSize) + signAll(signature, priv, message, []byte(ctx), true) + return signature +} + +func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool { + if len(public) != PublicKeySize || + len(signature) != SignatureSize || + len(ctx) > ContextMaxSize || + !isLessThanOrder(signature[paramB:]) { + return false + } + + P, err := goldilocks.FromBytes(public) + if err != nil { + return false + } + + H := sha3.NewShake256() + var PHM []byte + + if preHash { + var h [64]byte + _, _ = H.Write(message) + _, _ = H.Read(h[:]) + PHM = h[:] + H.Reset() + } else { + PHM = message + } + + var hRAM [hashSize]byte + R := signature[:paramB] + + writeDom(&H, ctx, preHash) + + _, _ = H.Write(R) + _, _ = H.Write(public) + _, _ = H.Write(PHM) + _, _ = H.Read(hRAM[:]) + + k := &goldilocks.Scalar{} + k.FromBytes(hRAM[:]) + S := &goldilocks.Scalar{} + S.FromBytes(signature[paramB:]) + + encR := (&[paramB]byte{})[:] + P.Neg() + _ = goldilocks.Curve{}.CombinedMult(S, k, P).ToBytes(encR) + return bytes.Equal(R, encR) +} + +// VerifyAny returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports all the two signature variants defined in RFC-8032, +// namely Ed448 (or pure EdDSA) and Ed448Ph. +// The opts.HashFunc() must return zero, this can be achieved by passing +// crypto.Hash(0) as the value for opts. +// Use a SignerOptions struct to pass a context string for signing. +func VerifyAny(public PublicKey, message, signature []byte, opts crypto.SignerOpts) bool { + var ctx string + var scheme SchemeID + if o, ok := opts.(SignerOptions); ok { + ctx = o.Context + scheme = o.Scheme + } + + switch true { + case scheme == ED448 && opts.HashFunc() == crypto.Hash(0): + return Verify(public, message, signature, ctx) + case scheme == ED448Ph && opts.HashFunc() == crypto.Hash(0): + return VerifyPh(public, message, signature, ctx) + default: + return false + } +} + +// Verify returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports the signature variant defined in RFC-8032: Ed448, +// also known as the pure version of EdDSA. +func Verify(public PublicKey, message, signature []byte, ctx string) bool { + return verify(public, message, signature, []byte(ctx), false) +} + +// VerifyPh returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports the signature variant defined in RFC-8032: Ed448ph, +// meaning it internally hashes the message using SHAKE-256. +// Context could be passed to this function, which length should be no more than +// 255. It can be empty. +func VerifyPh(public PublicKey, message, signature []byte, ctx string) bool { + return verify(public, message, signature, []byte(ctx), true) +} + +func deriveSecretScalar(s *goldilocks.Scalar, h []byte) { + h[0] &= 0xFC // The two least significant bits of the first octet are cleared, + h[paramB-1] = 0x00 // all eight bits the last octet are cleared, and + h[paramB-2] |= 0x80 // the highest bit of the second to last octet is set. + s.FromBytes(h[:paramB]) +} + +// isLessThanOrder returns true if 0 <= x < order and if the last byte of x is zero. +func isLessThanOrder(x []byte) bool { + order := goldilocks.Curve{}.Order() + i := len(order) - 1 + for i > 0 && x[i] == order[i] { + i-- + } + return x[paramB-1] == 0 && x[i] < order[i] +} + +func writeDom(h io.Writer, ctx []byte, preHash bool) { + dom4 := "SigEd448" + _, _ = h.Write([]byte(dom4)) + + if preHash { + _, _ = h.Write([]byte{byte(0x01), byte(len(ctx))}) + } else { + _, _ = h.Write([]byte{byte(0x00), byte(len(ctx))}) + } + _, _ = h.Write(ctx) +} diff --git a/vendor/github.com/cloudflare/circl/sign/ed448/signapi.go b/vendor/github.com/cloudflare/circl/sign/ed448/signapi.go new file mode 100644 index 0000000000..22da8bc0a5 --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/ed448/signapi.go @@ -0,0 +1,87 @@ +package ed448 + +import ( + "crypto/rand" + "encoding/asn1" + + "github.com/cloudflare/circl/sign" +) + +var sch sign.Scheme = &scheme{} + +// Scheme returns a signature interface. +func Scheme() sign.Scheme { return sch } + +type scheme struct{} + +func (*scheme) Name() string { return "Ed448" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SignatureSize() int { return SignatureSize } +func (*scheme) SeedSize() int { return SeedSize } +func (*scheme) TLSIdentifier() uint { return 0x0808 } +func (*scheme) SupportsContext() bool { return true } +func (*scheme) Oid() asn1.ObjectIdentifier { + return asn1.ObjectIdentifier{1, 3, 101, 113} +} + +func (*scheme) GenerateKey() (sign.PublicKey, sign.PrivateKey, error) { + return GenerateKey(rand.Reader) +} + +func (*scheme) Sign( + sk sign.PrivateKey, + message []byte, + opts *sign.SignatureOpts, +) []byte { + priv, ok := sk.(PrivateKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + ctx := "" + if opts != nil { + ctx = opts.Context + } + return Sign(priv, message, ctx) +} + +func (*scheme) Verify( + pk sign.PublicKey, + message, signature []byte, + opts *sign.SignatureOpts, +) bool { + pub, ok := pk.(PublicKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + ctx := "" + if opts != nil { + ctx = opts.Context + } + return Verify(pub, message, signature, ctx) +} + +func (*scheme) DeriveKey(seed []byte) (sign.PublicKey, sign.PrivateKey) { + privateKey := NewKeyFromSeed(seed) + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, privateKey[SeedSize:]) + return publicKey, privateKey +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (sign.PublicKey, error) { + if len(buf) < PublicKeySize { + return nil, sign.ErrPubKeySize + } + pub := make(PublicKey, PublicKeySize) + copy(pub, buf[:PublicKeySize]) + return pub, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (sign.PrivateKey, error) { + if len(buf) < PrivateKeySize { + return nil, sign.ErrPrivKeySize + } + priv := make(PrivateKey, PrivateKeySize) + copy(priv, buf[:PrivateKeySize]) + return priv, nil +} diff --git a/vendor/github.com/cloudflare/circl/sign/sign.go b/vendor/github.com/cloudflare/circl/sign/sign.go new file mode 100644 index 0000000000..15bbad761b --- /dev/null +++ b/vendor/github.com/cloudflare/circl/sign/sign.go @@ -0,0 +1,111 @@ +// Package sign provides unified interfaces for signature schemes. +// +// A register of schemes is available in the package +// +// github.com/cloudflare/circl/sign/schemes +package sign + +import ( + "crypto" + "encoding" + "errors" +) + +type SignatureOpts struct { + // If non-empty, includes the given context in the signature if supported + // and will cause an error during signing otherwise. + Context string +} + +// A public key is used to verify a signature set by the corresponding private +// key. +type PublicKey interface { + // Returns the signature scheme for this public key. + Scheme() Scheme + Equal(crypto.PublicKey) bool + encoding.BinaryMarshaler + crypto.PublicKey +} + +// A private key allows one to create signatures. +type PrivateKey interface { + // Returns the signature scheme for this private key. + Scheme() Scheme + + Equal(crypto.PrivateKey) bool + // For compatibility with Go standard library + crypto.Signer + crypto.PrivateKey + encoding.BinaryMarshaler +} + +// A Scheme represents a specific instance of a signature scheme. +type Scheme interface { + // Name of the scheme. + Name() string + + // GenerateKey creates a new key-pair. + GenerateKey() (PublicKey, PrivateKey, error) + + // Creates a signature using the PrivateKey on the given message and + // returns the signature. opts are additional options which can be nil. + // + // Panics if key is nil or wrong type or opts context is not supported. + Sign(sk PrivateKey, message []byte, opts *SignatureOpts) []byte + + // Checks whether the given signature is a valid signature set by + // the private key corresponding to the given public key on the + // given message. opts are additional options which can be nil. + // + // Panics if key is nil or wrong type or opts context is not supported. + Verify(pk PublicKey, message []byte, signature []byte, opts *SignatureOpts) bool + + // Deterministically derives a keypair from a seed. If you're unsure, + // you're better off using GenerateKey(). + // + // Panics if seed is not of length SeedSize(). + DeriveKey(seed []byte) (PublicKey, PrivateKey) + + // Unmarshals a PublicKey from the provided buffer. + UnmarshalBinaryPublicKey([]byte) (PublicKey, error) + + // Unmarshals a PublicKey from the provided buffer. + UnmarshalBinaryPrivateKey([]byte) (PrivateKey, error) + + // Size of binary marshalled public keys. + PublicKeySize() int + + // Size of binary marshalled public keys. + PrivateKeySize() int + + // Size of signatures. + SignatureSize() int + + // Size of seeds. + SeedSize() int + + // Returns whether contexts are supported. + SupportsContext() bool +} + +var ( + // ErrTypeMismatch is the error used if types of, for instance, private + // and public keys don't match. + ErrTypeMismatch = errors.New("types mismatch") + + // ErrSeedSize is the error used if the provided seed is of the wrong + // size. + ErrSeedSize = errors.New("wrong seed size") + + // ErrPubKeySize is the error used if the provided public key is of + // the wrong size. + ErrPubKeySize = errors.New("wrong size for public key") + + // ErrPrivKeySize is the error used if the provided private key is of + // the wrong size. + ErrPrivKeySize = errors.New("wrong size for private key") + + // ErrContextNotSupported is the error used if a context is not + // supported. + ErrContextNotSupported = errors.New("context not supported") +) diff --git a/vendor/github.com/emirpasic/gods/containers/containers.go b/vendor/github.com/emirpasic/gods/containers/containers.go index c35ab36d2c..a512a3cbaa 100644 --- a/vendor/github.com/emirpasic/gods/containers/containers.go +++ b/vendor/github.com/emirpasic/gods/containers/containers.go @@ -21,10 +21,11 @@ type Container interface { Size() int Clear() Values() []interface{} + String() string } // GetSortedValues returns sorted container's elements with respect to the passed comparator. -// Does not effect the ordering of elements within the container. +// Does not affect the ordering of elements within the container. func GetSortedValues(container Container, comparator utils.Comparator) []interface{} { values := container.Values() if len(values) < 2 { diff --git a/vendor/github.com/emirpasic/gods/containers/enumerable.go b/vendor/github.com/emirpasic/gods/containers/enumerable.go index ac48b54531..70660054ae 100644 --- a/vendor/github.com/emirpasic/gods/containers/enumerable.go +++ b/vendor/github.com/emirpasic/gods/containers/enumerable.go @@ -11,11 +11,9 @@ type EnumerableWithIndex interface { // Map invokes the given function once for each element and returns a // container containing the values returned by the given function. - // TODO would appreciate help on how to enforce this in containers (don't want to type assert when chaining) // Map(func(index int, value interface{}) interface{}) Container // Select returns a new container containing all elements for which the given function returns a true value. - // TODO need help on how to enforce this in containers (don't want to type assert when chaining) // Select(func(index int, value interface{}) bool) Container // Any passes each element of the container to the given function and @@ -39,11 +37,9 @@ type EnumerableWithKey interface { // Map invokes the given function once for each element and returns a container // containing the values returned by the given function as key/value pairs. - // TODO need help on how to enforce this in containers (don't want to type assert when chaining) // Map(func(key interface{}, value interface{}) (interface{}, interface{})) Container // Select returns a new container containing all elements for which the given function returns a true value. - // TODO need help on how to enforce this in containers (don't want to type assert when chaining) // Select(func(key interface{}, value interface{}) bool) Container // Any passes each element of the container to the given function and diff --git a/vendor/github.com/emirpasic/gods/containers/iterator.go b/vendor/github.com/emirpasic/gods/containers/iterator.go index f1a52a365a..73994ec82a 100644 --- a/vendor/github.com/emirpasic/gods/containers/iterator.go +++ b/vendor/github.com/emirpasic/gods/containers/iterator.go @@ -28,6 +28,12 @@ type IteratorWithIndex interface { // If First() returns true, then first element's index and value can be retrieved by Index() and Value(). // Modifies the state of the iterator. First() bool + + // NextTo moves the iterator to the next element from current position that satisfies the condition given by the + // passed function, and returns true if there was a next element in the container. + // If NextTo() returns true, then next element's index and value can be retrieved by Index() and Value(). + // Modifies the state of the iterator. + NextTo(func(index int, value interface{}) bool) bool } // IteratorWithKey is a stateful iterator for ordered containers whose elements are key value pairs. @@ -54,6 +60,12 @@ type IteratorWithKey interface { // If First() returns true, then first element's key and value can be retrieved by Key() and Value(). // Modifies the state of the iterator. First() bool + + // NextTo moves the iterator to the next element from current position that satisfies the condition given by the + // passed function, and returns true if there was a next element in the container. + // If NextTo() returns true, then next element's key and value can be retrieved by Key() and Value(). + // Modifies the state of the iterator. + NextTo(func(key interface{}, value interface{}) bool) bool } // ReverseIteratorWithIndex is stateful iterator for ordered containers whose values can be fetched by an index. @@ -80,6 +92,12 @@ type ReverseIteratorWithIndex interface { // Modifies the state of the iterator. Last() bool + // PrevTo moves the iterator to the previous element from current position that satisfies the condition given by the + // passed function, and returns true if there was a next element in the container. + // If PrevTo() returns true, then next element's index and value can be retrieved by Index() and Value(). + // Modifies the state of the iterator. + PrevTo(func(index int, value interface{}) bool) bool + IteratorWithIndex } @@ -105,5 +123,11 @@ type ReverseIteratorWithKey interface { // Modifies the state of the iterator. Last() bool + // PrevTo moves the iterator to the previous element from current position that satisfies the condition given by the + // passed function, and returns true if there was a next element in the container. + // If PrevTo() returns true, then next element's key and value can be retrieved by Key() and Value(). + // Modifies the state of the iterator. + PrevTo(func(key interface{}, value interface{}) bool) bool + IteratorWithKey } diff --git a/vendor/github.com/emirpasic/gods/containers/serialization.go b/vendor/github.com/emirpasic/gods/containers/serialization.go index d7c90c83a0..fd9cbe23a3 100644 --- a/vendor/github.com/emirpasic/gods/containers/serialization.go +++ b/vendor/github.com/emirpasic/gods/containers/serialization.go @@ -8,10 +8,14 @@ package containers type JSONSerializer interface { // ToJSON outputs the JSON representation of containers's elements. ToJSON() ([]byte, error) + // MarshalJSON @implements json.Marshaler + MarshalJSON() ([]byte, error) } // JSONDeserializer provides JSON deserialization type JSONDeserializer interface { // FromJSON populates containers's elements from the input JSON representation. FromJSON([]byte) error + // UnmarshalJSON @implements json.Unmarshaler + UnmarshalJSON([]byte) error } diff --git a/vendor/github.com/emirpasic/gods/lists/arraylist/arraylist.go b/vendor/github.com/emirpasic/gods/lists/arraylist/arraylist.go index bfedac9eef..60ce458320 100644 --- a/vendor/github.com/emirpasic/gods/lists/arraylist/arraylist.go +++ b/vendor/github.com/emirpasic/gods/lists/arraylist/arraylist.go @@ -17,9 +17,8 @@ import ( "github.com/emirpasic/gods/utils" ) -func assertListImplementation() { - var _ lists.List = (*List)(nil) -} +// Assert List implementation +var _ lists.List = (*List)(nil) // List holds the elements in a slice type List struct { @@ -83,8 +82,8 @@ func (list *List) Contains(values ...interface{}) bool { for _, searchValue := range values { found := false - for _, element := range list.elements { - if element == searchValue { + for index := 0; index < list.size; index++ { + if list.elements[index] == searchValue { found = true break } diff --git a/vendor/github.com/emirpasic/gods/lists/arraylist/enumerable.go b/vendor/github.com/emirpasic/gods/lists/arraylist/enumerable.go index b3a8738825..8bd60b0a5c 100644 --- a/vendor/github.com/emirpasic/gods/lists/arraylist/enumerable.go +++ b/vendor/github.com/emirpasic/gods/lists/arraylist/enumerable.go @@ -6,9 +6,8 @@ package arraylist import "github.com/emirpasic/gods/containers" -func assertEnumerableImplementation() { - var _ containers.EnumerableWithIndex = (*List)(nil) -} +// Assert Enumerable implementation +var _ containers.EnumerableWithIndex = (*List)(nil) // Each calls the given function once for each element, passing that element's index and value. func (list *List) Each(f func(index int, value interface{})) { diff --git a/vendor/github.com/emirpasic/gods/lists/arraylist/iterator.go b/vendor/github.com/emirpasic/gods/lists/arraylist/iterator.go index 38a93f3a8f..f9efe20c54 100644 --- a/vendor/github.com/emirpasic/gods/lists/arraylist/iterator.go +++ b/vendor/github.com/emirpasic/gods/lists/arraylist/iterator.go @@ -6,9 +6,8 @@ package arraylist import "github.com/emirpasic/gods/containers" -func assertIteratorImplementation() { - var _ containers.ReverseIteratorWithIndex = (*Iterator)(nil) -} +// Assert Iterator implementation +var _ containers.ReverseIteratorWithIndex = (*Iterator)(nil) // Iterator holding the iterator's state type Iterator struct { @@ -81,3 +80,31 @@ func (iterator *Iterator) Last() bool { iterator.End() return iterator.Prev() } + +// NextTo moves the iterator to the next element from current position that satisfies the condition given by the +// passed function, and returns true if there was a next element in the container. +// If NextTo() returns true, then next element's index and value can be retrieved by Index() and Value(). +// Modifies the state of the iterator. +func (iterator *Iterator) NextTo(f func(index int, value interface{}) bool) bool { + for iterator.Next() { + index, value := iterator.Index(), iterator.Value() + if f(index, value) { + return true + } + } + return false +} + +// PrevTo moves the iterator to the previous element from current position that satisfies the condition given by the +// passed function, and returns true if there was a next element in the container. +// If PrevTo() returns true, then next element's index and value can be retrieved by Index() and Value(). +// Modifies the state of the iterator. +func (iterator *Iterator) PrevTo(f func(index int, value interface{}) bool) bool { + for iterator.Prev() { + index, value := iterator.Index(), iterator.Value() + if f(index, value) { + return true + } + } + return false +} diff --git a/vendor/github.com/emirpasic/gods/lists/arraylist/serialization.go b/vendor/github.com/emirpasic/gods/lists/arraylist/serialization.go index 2f283fb97d..5e86fe96f3 100644 --- a/vendor/github.com/emirpasic/gods/lists/arraylist/serialization.go +++ b/vendor/github.com/emirpasic/gods/lists/arraylist/serialization.go @@ -9,10 +9,9 @@ import ( "github.com/emirpasic/gods/containers" ) -func assertSerializationImplementation() { - var _ containers.JSONSerializer = (*List)(nil) - var _ containers.JSONDeserializer = (*List)(nil) -} +// Assert Serialization implementation +var _ containers.JSONSerializer = (*List)(nil) +var _ containers.JSONDeserializer = (*List)(nil) // ToJSON outputs the JSON representation of list's elements. func (list *List) ToJSON() ([]byte, error) { @@ -27,3 +26,13 @@ func (list *List) FromJSON(data []byte) error { } return err } + +// UnmarshalJSON @implements json.Unmarshaler +func (list *List) UnmarshalJSON(bytes []byte) error { + return list.FromJSON(bytes) +} + +// MarshalJSON @implements json.Marshaler +func (list *List) MarshalJSON() ([]byte, error) { + return list.ToJSON() +} diff --git a/vendor/github.com/emirpasic/gods/lists/lists.go b/vendor/github.com/emirpasic/gods/lists/lists.go index 1f6bb08e94..55bd619e23 100644 --- a/vendor/github.com/emirpasic/gods/lists/lists.go +++ b/vendor/github.com/emirpasic/gods/lists/lists.go @@ -30,4 +30,5 @@ type List interface { // Size() int // Clear() // Values() []interface{} + // String() string } diff --git a/vendor/github.com/emirpasic/gods/trees/binaryheap/binaryheap.go b/vendor/github.com/emirpasic/gods/trees/binaryheap/binaryheap.go index 70b28cf52d..e658f2577e 100644 --- a/vendor/github.com/emirpasic/gods/trees/binaryheap/binaryheap.go +++ b/vendor/github.com/emirpasic/gods/trees/binaryheap/binaryheap.go @@ -19,9 +19,8 @@ import ( "strings" ) -func assertTreeImplementation() { - var _ trees.Tree = (*Heap)(nil) -} +// Assert Tree implementation +var _ trees.Tree = (*Heap)(nil) // Heap holds elements in an array-list type Heap struct { @@ -98,15 +97,19 @@ func (heap *Heap) Clear() { // Values returns all elements in the heap. func (heap *Heap) Values() []interface{} { - return heap.list.Values() + values := make([]interface{}, heap.list.Size(), heap.list.Size()) + for it := heap.Iterator(); it.Next(); { + values[it.Index()] = it.Value() + } + return values } // String returns a string representation of container func (heap *Heap) String() string { str := "BinaryHeap\n" values := []string{} - for _, value := range heap.list.Values() { - values = append(values, fmt.Sprintf("%v", value)) + for it := heap.Iterator(); it.Next(); { + values = append(values, fmt.Sprintf("%v", it.Value())) } str += strings.Join(values, ", ") return str diff --git a/vendor/github.com/emirpasic/gods/trees/binaryheap/iterator.go b/vendor/github.com/emirpasic/gods/trees/binaryheap/iterator.go index beeb8d7013..f2179633b0 100644 --- a/vendor/github.com/emirpasic/gods/trees/binaryheap/iterator.go +++ b/vendor/github.com/emirpasic/gods/trees/binaryheap/iterator.go @@ -4,11 +4,12 @@ package binaryheap -import "github.com/emirpasic/gods/containers" +import ( + "github.com/emirpasic/gods/containers" +) -func assertIteratorImplementation() { - var _ containers.ReverseIteratorWithIndex = (*Iterator)(nil) -} +// Assert Iterator implementation +var _ containers.ReverseIteratorWithIndex = (*Iterator)(nil) // Iterator returns a stateful iterator whose values can be fetched by an index. type Iterator struct { @@ -45,7 +46,19 @@ func (iterator *Iterator) Prev() bool { // Value returns the current element's value. // Does not modify the state of the iterator. func (iterator *Iterator) Value() interface{} { - value, _ := iterator.heap.list.Get(iterator.index) + start, end := evaluateRange(iterator.index) + if end > iterator.heap.Size() { + end = iterator.heap.Size() + } + tmpHeap := NewWith(iterator.heap.Comparator) + for n := start; n < end; n++ { + value, _ := iterator.heap.list.Get(n) + tmpHeap.Push(value) + } + for n := 0; n < iterator.index-start; n++ { + tmpHeap.Pop() + } + value, _ := tmpHeap.Pop() return value } @@ -82,3 +95,49 @@ func (iterator *Iterator) Last() bool { iterator.End() return iterator.Prev() } + +// NextTo moves the iterator to the next element from current position that satisfies the condition given by the +// passed function, and returns true if there was a next element in the container. +// If NextTo() returns true, then next element's index and value can be retrieved by Index() and Value(). +// Modifies the state of the iterator. +func (iterator *Iterator) NextTo(f func(index int, value interface{}) bool) bool { + for iterator.Next() { + index, value := iterator.Index(), iterator.Value() + if f(index, value) { + return true + } + } + return false +} + +// PrevTo moves the iterator to the previous element from current position that satisfies the condition given by the +// passed function, and returns true if there was a next element in the container. +// If PrevTo() returns true, then next element's index and value can be retrieved by Index() and Value(). +// Modifies the state of the iterator. +func (iterator *Iterator) PrevTo(f func(index int, value interface{}) bool) bool { + for iterator.Prev() { + index, value := iterator.Index(), iterator.Value() + if f(index, value) { + return true + } + } + return false +} + +// numOfBits counts the number of bits of an int +func numOfBits(n int) uint { + var count uint + for n != 0 { + count++ + n >>= 1 + } + return count +} + +// evaluateRange evaluates the index range [start,end) of same level nodes in the heap as the index +func evaluateRange(index int) (start int, end int) { + bits := numOfBits(index+1) - 1 + start = 1< $(COVERAGE_REPORT); \ + $(GOTEST) -coverprofile=$(COVERAGE_REPORT) -coverpkg=./... -covermode=$(COVERAGE_MODE) ./... diff --git a/vendor/github.com/go-git/go-billy/v5/memfs/memory.go b/vendor/github.com/go-git/go-billy/v5/memfs/memory.go index f217693e6f..dab73968b6 100644 --- a/vendor/github.com/go-git/go-billy/v5/memfs/memory.go +++ b/vendor/github.com/go-git/go-billy/v5/memfs/memory.go @@ -310,14 +310,14 @@ func (f *file) Duplicate(filename string, mode os.FileMode, flag int) billy.File flag: flag, } - if isAppend(flag) { - new.position = int64(new.content.Len()) - } - if isTruncate(flag) { new.content.Truncate() } + if isAppend(flag) { + new.position = int64(new.content.Len()) + } + return new } diff --git a/vendor/github.com/go-git/go-billy/v5/memfs/storage.go b/vendor/github.com/go-git/go-billy/v5/memfs/storage.go index d3ff5a25db..e3c4e38bff 100644 --- a/vendor/github.com/go-git/go-billy/v5/memfs/storage.go +++ b/vendor/github.com/go-git/go-billy/v5/memfs/storage.go @@ -6,6 +6,7 @@ import ( "io" "os" "path/filepath" + "sync" ) type storage struct { @@ -174,6 +175,8 @@ func clean(path string) string { type content struct { name string bytes []byte + + m sync.RWMutex } func (c *content) WriteAt(p []byte, off int64) (int, error) { @@ -185,6 +188,7 @@ func (c *content) WriteAt(p []byte, off int64) (int, error) { } } + c.m.Lock() prev := len(c.bytes) diff := int(off) - prev @@ -196,6 +200,7 @@ func (c *content) WriteAt(p []byte, off int64) (int, error) { if len(c.bytes) < prev { c.bytes = c.bytes[:prev] } + c.m.Unlock() return len(p), nil } @@ -209,8 +214,10 @@ func (c *content) ReadAt(b []byte, off int64) (n int, err error) { } } + c.m.RLock() size := int64(len(c.bytes)) if off >= size { + c.m.RUnlock() return 0, io.EOF } @@ -220,10 +227,12 @@ func (c *content) ReadAt(b []byte, off int64) (n int, err error) { } btr := c.bytes[off : off+l] + n = copy(b, btr) + if len(btr) < len(b) { err = io.EOF } - n = copy(b, btr) + c.m.RUnlock() return } diff --git a/vendor/github.com/go-git/go-billy/v5/util/walk.go b/vendor/github.com/go-git/go-billy/v5/util/walk.go new file mode 100644 index 0000000000..1531bcaaae --- /dev/null +++ b/vendor/github.com/go-git/go-billy/v5/util/walk.go @@ -0,0 +1,72 @@ +package util + +import ( + "os" + "path/filepath" + + "github.com/go-git/go-billy/v5" +) + +// walk recursively descends path, calling walkFn +// adapted from https://golang.org/src/path/filepath/path.go +func walk(fs billy.Filesystem, path string, info os.FileInfo, walkFn filepath.WalkFunc) error { + if !info.IsDir() { + return walkFn(path, info, nil) + } + + names, err := readdirnames(fs, path) + err1 := walkFn(path, info, err) + // If err != nil, walk can't walk into this directory. + // err1 != nil means walkFn want walk to skip this directory or stop walking. + // Therefore, if one of err and err1 isn't nil, walk will return. + if err != nil || err1 != nil { + // The caller's behavior is controlled by the return value, which is decided + // by walkFn. walkFn may ignore err and return nil. + // If walkFn returns SkipDir, it will be handled by the caller. + // So walk should return whatever walkFn returns. + return err1 + } + + for _, name := range names { + filename := filepath.Join(path, name) + fileInfo, err := fs.Lstat(filename) + if err != nil { + if err := walkFn(filename, fileInfo, err); err != nil && err != filepath.SkipDir { + return err + } + } else { + err = walk(fs, filename, fileInfo, walkFn) + if err != nil { + if !fileInfo.IsDir() || err != filepath.SkipDir { + return err + } + } + } + } + return nil +} + +// Walk walks the file tree rooted at root, calling fn for each file or +// directory in the tree, including root. All errors that arise visiting files +// and directories are filtered by fn: see the WalkFunc documentation for +// details. +// +// The files are walked in lexical order, which makes the output deterministic +// but requires Walk to read an entire directory into memory before proceeding +// to walk that directory. Walk does not follow symbolic links. +// +// Function adapted from https://github.com/golang/go/blob/3b770f2ccb1fa6fecc22ea822a19447b10b70c5c/src/path/filepath/path.go#L500 +func Walk(fs billy.Filesystem, root string, walkFn filepath.WalkFunc) error { + info, err := fs.Lstat(root) + if err != nil { + err = walkFn(root, nil, err) + } else { + err = walk(fs, root, info, walkFn) + } + + if err == filepath.SkipDir { + return nil + } + + return err +} diff --git a/vendor/github.com/go-git/go-git/v5/.gitignore b/vendor/github.com/go-git/go-git/v5/.gitignore index 038dd9f1ed..e8d25f5483 100644 --- a/vendor/github.com/go-git/go-git/v5/.gitignore +++ b/vendor/github.com/go-git/go-git/v5/.gitignore @@ -2,3 +2,4 @@ coverage.out *~ coverage.txt profile.out +.tmp/ \ No newline at end of file diff --git a/vendor/github.com/go-git/go-git/v5/Makefile b/vendor/github.com/go-git/go-git/v5/Makefile index d10922fb10..2acb8bc45d 100644 --- a/vendor/github.com/go-git/go-git/v5/Makefile +++ b/vendor/github.com/go-git/go-git/v5/Makefile @@ -27,7 +27,7 @@ build-git: test: @echo "running against `git version`"; \ - $(GOTEST) ./... + $(GOTEST) -race ./... test-coverage: @echo "running against `git version`"; \ diff --git a/vendor/github.com/go-git/go-git/v5/config/branch.go b/vendor/github.com/go-git/go-git/v5/config/branch.go index fe86cf542c..652270a280 100644 --- a/vendor/github.com/go-git/go-git/v5/config/branch.go +++ b/vendor/github.com/go-git/go-git/v5/config/branch.go @@ -2,6 +2,7 @@ package config import ( "errors" + "strings" "github.com/go-git/go-git/v5/plumbing" format "github.com/go-git/go-git/v5/plumbing/format/config" @@ -26,6 +27,12 @@ type Branch struct { // "true" and "interactive". "false" is undocumented and // typically represented by the non-existence of this field Rebase string + // Description explains what the branch is for. + // Multi-line explanations may be used. + // + // Original git command to edit: + // git branch --edit-description + Description string raw *format.Subsection } @@ -75,9 +82,27 @@ func (b *Branch) marshal() *format.Subsection { b.raw.SetOption(rebaseKey, b.Rebase) } + if b.Description == "" { + b.raw.RemoveOption(descriptionKey) + } else { + desc := quoteDescription(b.Description) + b.raw.SetOption(descriptionKey, desc) + } + return b.raw } +// hack to trigger conditional quoting in the +// plumbing/format/config/Encoder.encodeOptions +// +// Current Encoder implementation uses Go %q format if value contains a backslash character, +// which is not consistent with reference git implementation. +// git just replaces newline characters with \n, while Encoder prints them directly. +// Until value quoting fix, we should escape description value by replacing newline characters with \n. +func quoteDescription(desc string) string { + return strings.ReplaceAll(desc, "\n", `\n`) +} + func (b *Branch) unmarshal(s *format.Subsection) error { b.raw = s @@ -85,6 +110,14 @@ func (b *Branch) unmarshal(s *format.Subsection) error { b.Remote = b.raw.Options.Get(remoteSection) b.Merge = plumbing.ReferenceName(b.raw.Options.Get(mergeKey)) b.Rebase = b.raw.Options.Get(rebaseKey) + b.Description = unquoteDescription(b.raw.Options.Get(descriptionKey)) return b.Validate() } + +// hack to enable conditional quoting in the +// plumbing/format/config/Encoder.encodeOptions +// goto quoteDescription for details. +func unquoteDescription(desc string) string { + return strings.ReplaceAll(desc, `\n`, "\n") +} diff --git a/vendor/github.com/go-git/go-git/v5/config/config.go b/vendor/github.com/go-git/go-git/v5/config/config.go index 1aee25a4c5..8051bc1455 100644 --- a/vendor/github.com/go-git/go-git/v5/config/config.go +++ b/vendor/github.com/go-git/go-git/v5/config/config.go @@ -15,7 +15,6 @@ import ( "github.com/go-git/go-billy/v5/osfs" "github.com/go-git/go-git/v5/internal/url" format "github.com/go-git/go-git/v5/plumbing/format/config" - "github.com/mitchellh/go-homedir" ) const ( @@ -150,7 +149,7 @@ func ReadConfig(r io.Reader) (*Config, error) { // config file to the given scope, a empty one is returned. func LoadConfig(scope Scope) (*Config, error) { if scope == LocalScope { - return nil, fmt.Errorf("LocalScope should be read from the a ConfigStorer.") + return nil, fmt.Errorf("LocalScope should be read from the a ConfigStorer") } files, err := Paths(scope) @@ -185,7 +184,7 @@ func Paths(scope Scope) ([]string, error) { files = append(files, filepath.Join(xdg, "git/config")) } - home, err := homedir.Dir() + home, err := os.UserHomeDir() if err != nil { return nil, err } @@ -247,6 +246,7 @@ const ( rebaseKey = "rebase" nameKey = "name" emailKey = "email" + descriptionKey = "description" defaultBranchKey = "defaultBranch" // DefaultPackWindow holds the number of previous objects used to diff --git a/vendor/github.com/go-git/go-git/v5/config/refspec.go b/vendor/github.com/go-git/go-git/v5/config/refspec.go index 4bfaa37bbb..e2cf8c97b1 100644 --- a/vendor/github.com/go-git/go-git/v5/config/refspec.go +++ b/vendor/github.com/go-git/go-git/v5/config/refspec.go @@ -64,7 +64,7 @@ func (s RefSpec) IsExactSHA1() bool { return plumbing.IsHash(s.Src()) } -// Src return the src side. +// Src returns the src side. func (s RefSpec) Src() string { spec := string(s) diff --git a/vendor/github.com/go-git/go-git/v5/internal/revision/parser.go b/vendor/github.com/go-git/go-git/v5/internal/revision/parser.go index 8facf17ffb..8a2a7190e5 100644 --- a/vendor/github.com/go-git/go-git/v5/internal/revision/parser.go +++ b/vendor/github.com/go-git/go-git/v5/internal/revision/parser.go @@ -322,6 +322,8 @@ func (p *Parser) parseAt() (Revisioner, error) { } return AtDate{t}, nil + case tok == eof: + return nil, &ErrInvalidRevision{s: `missing "}" in @{} structure`} default: date += lit } @@ -424,6 +426,8 @@ func (p *Parser) parseCaretBraces() (Revisioner, error) { p.unscan() case tok != slash && start: return nil, &ErrInvalidRevision{fmt.Sprintf(`"%s" is not a valid revision suffix brace component`, lit)} + case tok == eof: + return nil, &ErrInvalidRevision{s: `missing "}" in ^{} structure`} case tok != cbrace: p.unscan() re += lit diff --git a/vendor/github.com/go-git/go-git/v5/object_walker.go b/vendor/github.com/go-git/go-git/v5/object_walker.go index 3fcdd2999c..3a537bd802 100644 --- a/vendor/github.com/go-git/go-git/v5/object_walker.go +++ b/vendor/github.com/go-git/go-git/v5/object_walker.go @@ -60,7 +60,7 @@ func (p *objectWalker) walkObjectTree(hash plumbing.Hash) error { // Fetch the object. obj, err := object.GetObject(p.Storer, hash) if err != nil { - return fmt.Errorf("Getting object %s failed: %v", hash, err) + return fmt.Errorf("getting object %s failed: %v", hash, err) } // Walk all children depending on object type. switch obj := obj.(type) { @@ -98,7 +98,7 @@ func (p *objectWalker) walkObjectTree(hash plumbing.Hash) error { return p.walkObjectTree(obj.Target) default: // Error out on unhandled object types. - return fmt.Errorf("Unknown object %X %s %T\n", obj.ID(), obj.Type(), obj) + return fmt.Errorf("unknown object %X %s %T", obj.ID(), obj.Type(), obj) } return nil } diff --git a/vendor/github.com/go-git/go-git/v5/options.go b/vendor/github.com/go-git/go-git/v5/options.go index 70687965bb..747d512bc1 100644 --- a/vendor/github.com/go-git/go-git/v5/options.go +++ b/vendor/github.com/go-git/go-git/v5/options.go @@ -91,6 +91,8 @@ func (o *CloneOptions) Validate() error { type PullOptions struct { // Name of the remote to be pulled. If empty, uses the default. RemoteName string + // RemoteURL overrides the remote repo address with a custom URL + RemoteURL string // Remote branch to clone. If empty, uses HEAD. ReferenceName plumbing.ReferenceName // Fetch only ReferenceName if true. @@ -147,7 +149,9 @@ const ( type FetchOptions struct { // Name of the remote to fetch from. Defaults to origin. RemoteName string - RefSpecs []config.RefSpec + // RemoteURL overrides the remote repo address with a custom URL + RemoteURL string + RefSpecs []config.RefSpec // Depth limit fetching to the specified number of commits from the tip of // each remote branch history. Depth int @@ -192,8 +196,16 @@ func (o *FetchOptions) Validate() error { type PushOptions struct { // RemoteName is the name of the remote to be pushed to. RemoteName string - // RefSpecs specify what destination ref to update with what source - // object. A refspec with empty src can be used to delete a reference. + // RemoteURL overrides the remote repo address with a custom URL + RemoteURL string + // RefSpecs specify what destination ref to update with what source object. + // + // The format of a parameter is an optional plus +, followed by + // the source object , followed by a colon :, followed by the destination ref . + // The is often the name of the branch you would want to push, but it can be a SHA-1. + // The tells which ref on the remote side is updated with this push. + // + // A refspec with empty src can be used to delete a reference. RefSpecs []config.RefSpec // Auth credentials, if required, to use with the remote repository. Auth transport.AuthMethod @@ -206,13 +218,35 @@ type PushOptions struct { // Force allows the push to update a remote branch even when the local // branch does not descend from it. Force bool - // InsecureSkipTLS skips ssl verify if protocal is https + // InsecureSkipTLS skips ssl verify if protocol is https InsecureSkipTLS bool // CABundle specify additional ca bundle with system cert pool CABundle []byte // RequireRemoteRefs only allows a remote ref to be updated if its current // value is the one specified here. RequireRemoteRefs []config.RefSpec + // FollowTags will send any annotated tags with a commit target reachable from + // the refs already being pushed + FollowTags bool + // ForceWithLease allows a force push as long as the remote ref adheres to a "lease" + ForceWithLease *ForceWithLease + // PushOptions sets options to be transferred to the server during push. + Options map[string]string + // Atomic sets option to be an atomic push + Atomic bool +} + +// ForceWithLease sets fields on the lease +// If neither RefName nor Hash are set, ForceWithLease protects +// all refs in the refspec by ensuring the ref of the remote in the local repsitory +// matches the one in the ref advertisement. +type ForceWithLease struct { + // RefName, when set will protect the ref by ensuring it matches the + // hash in the ref advertisement. + RefName plumbing.ReferenceName + // Hash is the expected object id of RefName. The push will be rejected unless this + // matches the corresponding object id of RefName in the refs advertisement. + Hash plumbing.Hash } // Validate validates the fields and sets the default values. @@ -274,6 +308,8 @@ type CheckoutOptions struct { // target branch. Force and Keep are mutually exclusive, should not be both // set to true. Keep bool + // SparseCheckoutDirectories + SparseCheckoutDirectories []string } // Validate validates the fields and sets the default values. @@ -366,7 +402,7 @@ type LogOptions struct { // Show only those commits in which the specified file was inserted/updated. // It is equivalent to running `git log -- `. - // this field is kept for compatility, it can be replaced with PathFilter + // this field is kept for compatibility, it can be replaced with PathFilter FileName *string // Filter commits based on the path of files that are updated @@ -422,6 +458,10 @@ type CommitOptions struct { // All automatically stage files that have been modified and deleted, but // new files you have not told Git about are not affected. All bool + // AllowEmptyCommits enable empty commits to be created. An empty commit + // is when no changes to the tree were made, but a new commit message is + // provided. The default behavior is false, which results in ErrEmptyCommit. + AllowEmptyCommits bool // Author is the author's signature of the commit. If Author is empty the // Name and Email is read from the config, and time.Now it's used as When. Author *object.Signature @@ -571,7 +611,7 @@ func (o *CreateTagOptions) loadConfigTagger(r *Repository) error { type ListOptions struct { // Auth credentials, if required, to use with the remote repository. Auth transport.AuthMethod - // InsecureSkipTLS skips ssl verify if protocal is https + // InsecureSkipTLS skips ssl verify if protocol is https InsecureSkipTLS bool // CABundle specify additional ca bundle with system cert pool CABundle []byte diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/config/encoder.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/config/encoder.go index 4eac8968ad..de069aed5e 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/config/encoder.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/config/encoder.go @@ -11,6 +11,10 @@ type Encoder struct { w io.Writer } +var ( + subsectionReplacer = strings.NewReplacer(`"`, `\"`, `\`, `\\`) + valueReplacer = strings.NewReplacer(`"`, `\"`, `\`, `\\`, "\n", `\n`, "\t", `\t`, "\b", `\b`) +) // NewEncoder returns a new encoder that writes to w. func NewEncoder(w io.Writer) *Encoder { return &Encoder{w} @@ -48,8 +52,7 @@ func (e *Encoder) encodeSection(s *Section) error { } func (e *Encoder) encodeSubsection(sectionName string, s *Subsection) error { - //TODO: escape - if err := e.printf("[%s \"%s\"]\n", sectionName, s.Name); err != nil { + if err := e.printf("[%s \"%s\"]\n", sectionName, subsectionReplacer.Replace(s.Name)); err != nil { return err } @@ -58,12 +61,14 @@ func (e *Encoder) encodeSubsection(sectionName string, s *Subsection) error { func (e *Encoder) encodeOptions(opts Options) error { for _, o := range opts { - pattern := "\t%s = %s\n" - if strings.Contains(o.Value, "\\") { - pattern = "\t%s = %q\n" + var value string + if strings.ContainsAny(o.Value, "#;\"\t\n\\") || strings.HasPrefix(o.Value, " ") || strings.HasSuffix(o.Value, " ") { + value = `"`+valueReplacer.Replace(o.Value)+`"` + } else { + value = o.Value } - if err := e.printf(pattern, o.Key, o.Value); err != nil { + if err := e.printf("\t%s = %s\n", o.Key, value); err != nil { return err } } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/config/section.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/config/section.go index 07f72f35af..4625ac5837 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/config/section.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/config/section.go @@ -103,7 +103,7 @@ func (s *Section) RemoveSubsection(name string) *Section { return s } -// Option return the value for the specified key. Empty string is returned if +// Option returns the value for the specified key. Empty string is returned if // key does not exists. func (s *Section) Option(key string) string { return s.Options.Get(key) diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/diff/patch.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/diff/patch.go index 39a66a1a80..c7678b01a4 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/diff/patch.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/diff/patch.go @@ -9,7 +9,7 @@ import ( type Operation int const ( - // Equal item represents a equals diff. + // Equal item represents an equals diff. Equal Operation = iota // Add item represents an insert diff. Add @@ -26,15 +26,15 @@ type Patch interface { Message() string } -// FilePatch represents the necessary steps to transform one file to another. +// FilePatch represents the necessary steps to transform one file into another. type FilePatch interface { // IsBinary returns true if this patch is representing a binary file. IsBinary() bool - // Files returns the from and to Files, with all the necessary metadata to + // Files returns the from and to Files, with all the necessary metadata // about them. If the patch creates a new file, "from" will be nil. // If the patch deletes a file, "to" will be nil. Files() (from, to File) - // Chunks returns a slice of ordered changes to transform "from" File to + // Chunks returns a slice of ordered changes to transform "from" File into // "to" File. If the file is a binary one, Chunks will be empty. Chunks() []Chunk } @@ -49,7 +49,7 @@ type File interface { Path() string } -// Chunk represents a portion of a file transformation to another. +// Chunk represents a portion of a file transformation into another. type Chunk interface { // Content contains the portion of the file. Content() string diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/gitignore/dir.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/gitignore/dir.go index 7cea50cd8f..15bc9c779f 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/gitignore/dir.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/gitignore/dir.go @@ -13,13 +13,14 @@ import ( ) const ( - commentPrefix = "#" - coreSection = "core" - excludesfile = "excludesfile" - gitDir = ".git" - gitignoreFile = ".gitignore" - gitconfigFile = ".gitconfig" - systemFile = "/etc/gitconfig" + commentPrefix = "#" + coreSection = "core" + excludesfile = "excludesfile" + gitDir = ".git" + gitignoreFile = ".gitignore" + gitconfigFile = ".gitconfig" + systemFile = "/etc/gitconfig" + infoExcludeFile = gitDir + "/info/exclude" ) // readIgnoreFile reads a specific git ignore file. @@ -42,10 +43,14 @@ func readIgnoreFile(fs billy.Filesystem, path []string, ignoreFile string) (ps [ return } -// ReadPatterns reads gitignore patterns recursively traversing through the directory -// structure. The result is in the ascending order of priority (last higher). +// ReadPatterns reads the .git/info/exclude and then the gitignore patterns +// recursively traversing through the directory structure. The result is in +// the ascending order of priority (last higher). func ReadPatterns(fs billy.Filesystem, path []string) (ps []Pattern, err error) { - ps, _ = readIgnoreFile(fs, path, gitignoreFile) + ps, _ = readIgnoreFile(fs, path, infoExcludeFile) + + subps, _ := readIgnoreFile(fs, path, gitignoreFile) + ps = append(ps, subps...) var fis []os.FileInfo fis, err = fs.ReadDir(fs.Join(path...)) diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/idxfile/decoder.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/idxfile/decoder.go index 7768bd6505..51a3904894 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/idxfile/decoder.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/idxfile/decoder.go @@ -12,9 +12,9 @@ import ( var ( // ErrUnsupportedVersion is returned by Decode when the idx file version // is not supported. - ErrUnsupportedVersion = errors.New("Unsupported version") + ErrUnsupportedVersion = errors.New("unsupported version") // ErrMalformedIdxFile is returned by Decode when the idx file is corrupted. - ErrMalformedIdxFile = errors.New("Malformed IDX file") + ErrMalformedIdxFile = errors.New("malformed IDX file") ) const ( diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/idxfile/encoder.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/idxfile/encoder.go index 26b2e4d6b5..6ac445ff6e 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/idxfile/encoder.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/idxfile/encoder.go @@ -1,10 +1,10 @@ package idxfile import ( - "crypto/sha1" - "hash" + "crypto" "io" + "github.com/go-git/go-git/v5/plumbing/hash" "github.com/go-git/go-git/v5/utils/binary" ) @@ -16,7 +16,7 @@ type Encoder struct { // NewEncoder returns a new stream encoder that writes to w. func NewEncoder(w io.Writer) *Encoder { - h := sha1.New() + h := hash.New(crypto.SHA1) mw := io.MultiWriter(w, h) return &Encoder{mw, h} } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/index/decoder.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/index/decoder.go index 036b6365e6..c4da20c088 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/index/decoder.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/index/decoder.go @@ -3,15 +3,15 @@ package index import ( "bufio" "bytes" - "crypto/sha1" + "crypto" "errors" - "hash" "io" "io/ioutil" "strconv" "time" "github.com/go-git/go-git/v5/plumbing" + "github.com/go-git/go-git/v5/plumbing/hash" "github.com/go-git/go-git/v5/utils/binary" ) @@ -49,7 +49,7 @@ type Decoder struct { // NewDecoder returns a new decoder that reads from r. func NewDecoder(r io.Reader) *Decoder { - h := sha1.New() + h := hash.New(crypto.SHA1) return &Decoder{ r: io.TeeReader(r, h), hash: h, diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/index/encoder.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/index/encoder.go index 00d4e7a317..a91537870c 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/index/encoder.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/index/encoder.go @@ -2,19 +2,19 @@ package index import ( "bytes" - "crypto/sha1" + "crypto" "errors" - "hash" "io" "sort" "time" + "github.com/go-git/go-git/v5/plumbing/hash" "github.com/go-git/go-git/v5/utils/binary" ) var ( // EncodeVersionSupported is the range of supported index versions - EncodeVersionSupported uint32 = 2 + EncodeVersionSupported uint32 = 3 // ErrInvalidTimestamp is returned by Encode if a Index with a Entry with // negative timestamp values @@ -29,16 +29,16 @@ type Encoder struct { // NewEncoder returns a new encoder that writes to w. func NewEncoder(w io.Writer) *Encoder { - h := sha1.New() + h := hash.New(crypto.SHA1) mw := io.MultiWriter(w, h) return &Encoder{mw, h} } // Encode writes the Index to the stream of the encoder. func (e *Encoder) Encode(idx *Index) error { - // TODO: support versions v3 and v4 + // TODO: support v4 // TODO: support extensions - if idx.Version != EncodeVersionSupported { + if idx.Version > EncodeVersionSupported { return ErrUnsupportedVersion } @@ -68,8 +68,12 @@ func (e *Encoder) encodeEntries(idx *Index) error { if err := e.encodeEntry(entry); err != nil { return err } + entryLength := entryHeaderLength + if entry.IntentToAdd || entry.SkipWorktree { + entryLength += 2 + } - wrote := entryHeaderLength + len(entry.Name) + wrote := entryLength + len(entry.Name) if err := e.padEntry(wrote); err != nil { return err } @@ -79,10 +83,6 @@ func (e *Encoder) encodeEntries(idx *Index) error { } func (e *Encoder) encodeEntry(entry *Entry) error { - if entry.IntentToAdd || entry.SkipWorktree { - return ErrUnsupportedVersion - } - sec, nsec, err := e.timeToUint32(&entry.CreatedAt) if err != nil { return err @@ -110,9 +110,25 @@ func (e *Encoder) encodeEntry(entry *Entry) error { entry.GID, entry.Size, entry.Hash[:], - flags, } + flagsFlow := []interface{}{flags} + + if entry.IntentToAdd || entry.SkipWorktree { + var extendedFlags uint16 + + if entry.IntentToAdd { + extendedFlags |= intentToAddMask + } + if entry.SkipWorktree { + extendedFlags |= skipWorkTreeMask + } + + flagsFlow = []interface{}{flags | entryExtended, extendedFlags} + } + + flow = append(flow, flagsFlow...) + if err := binary.Write(e.w, flow...); err != nil { return err } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/index/index.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/index/index.go index 649416a2b4..f4c7647d34 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/index/index.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/index/index.go @@ -5,6 +5,7 @@ import ( "errors" "fmt" "path/filepath" + "strings" "time" "github.com/go-git/go-git/v5/plumbing" @@ -211,3 +212,20 @@ type EndOfIndexEntry struct { // their contents). Hash plumbing.Hash } + +// SkipUnless applies patterns in the form of A, A/B, A/B/C +// to the index to prevent the files from being checked out +func (i *Index) SkipUnless(patterns []string) { + for _, e := range i.Entries { + var include bool + for _, pattern := range patterns { + if strings.HasPrefix(e.Name, pattern) { + include = true + break + } + } + if !include { + e.SkipWorktree = true + } + } +} diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/objfile/reader.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/objfile/reader.go index b6b2ca06dd..d7932f4ea8 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/objfile/reader.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/objfile/reader.go @@ -1,13 +1,13 @@ package objfile import ( - "compress/zlib" "errors" "io" "strconv" "github.com/go-git/go-git/v5/plumbing" "github.com/go-git/go-git/v5/plumbing/format/packfile" + "github.com/go-git/go-git/v5/utils/sync" ) var ( @@ -20,20 +20,22 @@ var ( // Reader implements io.ReadCloser. Close should be called when finished with // the Reader. Close will not close the underlying io.Reader. type Reader struct { - multi io.Reader - zlib io.ReadCloser - hasher plumbing.Hasher + multi io.Reader + zlib io.Reader + zlibref sync.ZLibReader + hasher plumbing.Hasher } // NewReader returns a new Reader reading from r. func NewReader(r io.Reader) (*Reader, error) { - zlib, err := zlib.NewReader(r) + zlib, err := sync.GetZlibReader(r) if err != nil { return nil, packfile.ErrZLib.AddDetails(err.Error()) } return &Reader{ - zlib: zlib, + zlib: zlib.Reader, + zlibref: zlib, }, nil } @@ -110,5 +112,6 @@ func (r *Reader) Hash() plumbing.Hash { // Close releases any resources consumed by the Reader. Calling Close does not // close the wrapped io.Reader originally passed to NewReader. func (r *Reader) Close() error { - return r.zlib.Close() + sync.PutZlibReader(r.zlibref) + return nil } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/objfile/writer.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/objfile/writer.go index 2a96a4370b..0d0f154928 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/objfile/writer.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/objfile/writer.go @@ -7,6 +7,7 @@ import ( "strconv" "github.com/go-git/go-git/v5/plumbing" + "github.com/go-git/go-git/v5/utils/sync" ) var ( @@ -18,9 +19,9 @@ var ( // not close the underlying io.Writer. type Writer struct { raw io.Writer - zlib io.WriteCloser hasher plumbing.Hasher multi io.Writer + zlib *zlib.Writer closed bool pending int64 // number of unwritten bytes @@ -31,9 +32,10 @@ type Writer struct { // The returned Writer implements io.WriteCloser. Close should be called when // finished with the Writer. Close will not close the underlying io.Writer. func NewWriter(w io.Writer) *Writer { + zlib := sync.GetZlibWriter(w) return &Writer{ raw: w, - zlib: zlib.NewWriter(w), + zlib: zlib, } } @@ -100,6 +102,7 @@ func (w *Writer) Hash() plumbing.Hash { // Calling Close does not close the wrapped io.Writer originally passed to // NewWriter. func (w *Writer) Close() error { + defer sync.PutZlibWriter(w.zlib) if err := w.zlib.Close(); err != nil { return err } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/common.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/common.go index df423ad50c..36c5ef5b88 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/common.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/common.go @@ -1,10 +1,7 @@ package packfile import ( - "bytes" - "compress/zlib" "io" - "sync" "github.com/go-git/go-git/v5/plumbing/storer" "github.com/go-git/go-git/v5/utils/ioutil" @@ -61,18 +58,3 @@ func WritePackfileToObjectStorage( return err } - -var bufPool = sync.Pool{ - New: func() interface{} { - return bytes.NewBuffer(nil) - }, -} - -var zlibInitBytes = []byte{0x78, 0x9c, 0x01, 0x00, 0x00, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01} - -var zlibReaderPool = sync.Pool{ - New: func() interface{} { - r, _ := zlib.NewReader(bytes.NewReader(zlibInitBytes)) - return r - }, -} diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/diff_delta.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/diff_delta.go index 1951b34ef1..2c7a33581e 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/diff_delta.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/diff_delta.go @@ -5,6 +5,7 @@ import ( "github.com/go-git/go-git/v5/plumbing" "github.com/go-git/go-git/v5/utils/ioutil" + "github.com/go-git/go-git/v5/utils/sync" ) // See https://github.com/jelmer/dulwich/blob/master/dulwich/pack.py and @@ -43,18 +44,16 @@ func getDelta(index *deltaIndex, base, target plumbing.EncodedObject) (o plumbin defer ioutil.CheckClose(tr, &err) - bb := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(bb) - bb.Reset() + bb := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(bb) _, err = bb.ReadFrom(br) if err != nil { return nil, err } - tb := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(tb) - tb.Reset() + tb := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(tb) _, err = tb.ReadFrom(tr) if err != nil { @@ -80,9 +79,8 @@ func DiffDelta(src, tgt []byte) []byte { } func diffDelta(index *deltaIndex, src []byte, tgt []byte) []byte { - buf := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(buf) - buf.Reset() + buf := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(buf) buf.Write(deltaEncodeSize(len(src))) buf.Write(deltaEncodeSize(len(tgt))) @@ -90,9 +88,8 @@ func diffDelta(index *deltaIndex, src []byte, tgt []byte) []byte { index.init(src) } - ibuf := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(ibuf) - ibuf.Reset() + ibuf := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(ibuf) for i := 0; i < len(tgt); i++ { offset, l := index.findMatch(src, tgt, i) diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/encoder.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/encoder.go index 5501f8861c..a8a7e967bf 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/encoder.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/encoder.go @@ -2,11 +2,12 @@ package packfile import ( "compress/zlib" - "crypto/sha1" + "crypto" "fmt" "io" "github.com/go-git/go-git/v5/plumbing" + "github.com/go-git/go-git/v5/plumbing/hash" "github.com/go-git/go-git/v5/plumbing/storer" "github.com/go-git/go-git/v5/utils/binary" "github.com/go-git/go-git/v5/utils/ioutil" @@ -28,7 +29,7 @@ type Encoder struct { // OFSDeltaObject. To use Reference deltas, set useRefDeltas to true. func NewEncoder(w io.Writer, s storer.EncodedObjectStorer, useRefDeltas bool) *Encoder { h := plumbing.Hasher{ - Hash: sha1.New(), + Hash: hash.New(crypto.SHA1), } mw := io.MultiWriter(w, h) ow := newOffsetWriter(mw) diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/fsobject.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/fsobject.go index c5edaf52ee..238339daf8 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/fsobject.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/fsobject.go @@ -7,19 +7,20 @@ import ( "github.com/go-git/go-git/v5/plumbing" "github.com/go-git/go-git/v5/plumbing/cache" "github.com/go-git/go-git/v5/plumbing/format/idxfile" + "github.com/go-git/go-git/v5/utils/ioutil" ) // FSObject is an object from the packfile on the filesystem. type FSObject struct { - hash plumbing.Hash - h *ObjectHeader - offset int64 - size int64 - typ plumbing.ObjectType - index idxfile.Index - fs billy.Filesystem - path string - cache cache.Object + hash plumbing.Hash + offset int64 + size int64 + typ plumbing.ObjectType + index idxfile.Index + fs billy.Filesystem + path string + cache cache.Object + largeObjectThreshold int64 } // NewFSObject creates a new filesystem object. @@ -32,16 +33,18 @@ func NewFSObject( fs billy.Filesystem, path string, cache cache.Object, + largeObjectThreshold int64, ) *FSObject { return &FSObject{ - hash: hash, - offset: offset, - size: contentSize, - typ: finalType, - index: index, - fs: fs, - path: path, - cache: cache, + hash: hash, + offset: offset, + size: contentSize, + typ: finalType, + index: index, + fs: fs, + path: path, + cache: cache, + largeObjectThreshold: largeObjectThreshold, } } @@ -62,7 +65,21 @@ func (o *FSObject) Reader() (io.ReadCloser, error) { return nil, err } - p := NewPackfileWithCache(o.index, nil, f, o.cache) + p := NewPackfileWithCache(o.index, nil, f, o.cache, o.largeObjectThreshold) + if o.largeObjectThreshold > 0 && o.size > o.largeObjectThreshold { + // We have a big object + h, err := p.objectHeaderAtOffset(o.offset) + if err != nil { + return nil, err + } + + r, err := p.getReaderDirect(h) + if err != nil { + _ = f.Close() + return nil, err + } + return ioutil.NewReadCloserWithCloser(r, f.Close), nil + } r, err := p.getObjectContent(o.offset) if err != nil { _ = f.Close() @@ -100,17 +117,3 @@ func (o *FSObject) Type() plumbing.ObjectType { func (o *FSObject) Writer() (io.WriteCloser, error) { return nil, nil } - -type objectReader struct { - io.ReadCloser - f billy.File -} - -func (r *objectReader) Close() error { - if err := r.ReadCloser.Close(); err != nil { - _ = r.f.Close() - return err - } - - return r.f.Close() -} diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/packfile.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/packfile.go index ddd7f62fce..6852702257 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/packfile.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/packfile.go @@ -2,6 +2,7 @@ package packfile import ( "bytes" + "fmt" "io" "os" @@ -11,6 +12,7 @@ import ( "github.com/go-git/go-git/v5/plumbing/format/idxfile" "github.com/go-git/go-git/v5/plumbing/storer" "github.com/go-git/go-git/v5/utils/ioutil" + "github.com/go-git/go-git/v5/utils/sync" ) var ( @@ -35,11 +37,12 @@ const smallObjectThreshold = 16 * 1024 // Packfile allows retrieving information from inside a packfile. type Packfile struct { idxfile.Index - fs billy.Filesystem - file billy.File - s *Scanner - deltaBaseCache cache.Object - offsetToType map[int64]plumbing.ObjectType + fs billy.Filesystem + file billy.File + s *Scanner + deltaBaseCache cache.Object + offsetToType map[int64]plumbing.ObjectType + largeObjectThreshold int64 } // NewPackfileWithCache creates a new Packfile with the given object cache. @@ -50,6 +53,7 @@ func NewPackfileWithCache( fs billy.Filesystem, file billy.File, cache cache.Object, + largeObjectThreshold int64, ) *Packfile { s := NewScanner(file) return &Packfile{ @@ -59,6 +63,7 @@ func NewPackfileWithCache( s, cache, make(map[int64]plumbing.ObjectType), + largeObjectThreshold, } } @@ -66,8 +71,8 @@ func NewPackfileWithCache( // and packfile idx. // If the filesystem is provided, the packfile will return FSObjects, otherwise // it will return MemoryObjects. -func NewPackfile(index idxfile.Index, fs billy.Filesystem, file billy.File) *Packfile { - return NewPackfileWithCache(index, fs, file, cache.NewObjectLRUDefault()) +func NewPackfile(index idxfile.Index, fs billy.Filesystem, file billy.File, largeObjectThreshold int64) *Packfile { + return NewPackfileWithCache(index, fs, file, cache.NewObjectLRUDefault(), largeObjectThreshold) } // Get retrieves the encoded object in the packfile with the given hash. @@ -133,9 +138,8 @@ func (p *Packfile) getObjectSize(h *ObjectHeader) (int64, error) { case plumbing.CommitObject, plumbing.TreeObject, plumbing.BlobObject, plumbing.TagObject: return h.Length, nil case plumbing.REFDeltaObject, plumbing.OFSDeltaObject: - buf := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(buf) - buf.Reset() + buf := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(buf) if _, _, err := p.s.NextObject(buf); err != nil { return 0, err @@ -222,9 +226,9 @@ func (p *Packfile) getNextObject(h *ObjectHeader, hash plumbing.Hash) (plumbing. // For delta objects we read the delta data and apply the small object // optimization only if the expanded version of the object still meets // the small object threshold condition. - buf := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(buf) - buf.Reset() + buf := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(buf) + if _, _, err := p.s.NextObject(buf); err != nil { return nil, err } @@ -263,6 +267,7 @@ func (p *Packfile) getNextObject(h *ObjectHeader, hash plumbing.Hash) (plumbing. p.fs, p.file.Name(), p.deltaBaseCache, + p.largeObjectThreshold, ), nil } @@ -282,6 +287,49 @@ func (p *Packfile) getObjectContent(offset int64) (io.ReadCloser, error) { return obj.Reader() } +func asyncReader(p *Packfile) (io.ReadCloser, error) { + reader := ioutil.NewReaderUsingReaderAt(p.file, p.s.r.offset) + zr, err := sync.GetZlibReader(reader) + if err != nil { + return nil, fmt.Errorf("zlib reset error: %s", err) + } + + return ioutil.NewReadCloserWithCloser(zr.Reader, func() error { + sync.PutZlibReader(zr) + return nil + }), nil + +} + +func (p *Packfile) getReaderDirect(h *ObjectHeader) (io.ReadCloser, error) { + switch h.Type { + case plumbing.CommitObject, plumbing.TreeObject, plumbing.BlobObject, plumbing.TagObject: + return asyncReader(p) + case plumbing.REFDeltaObject: + deltaRc, err := asyncReader(p) + if err != nil { + return nil, err + } + r, err := p.readREFDeltaObjectContent(h, deltaRc) + if err != nil { + return nil, err + } + return r, nil + case plumbing.OFSDeltaObject: + deltaRc, err := asyncReader(p) + if err != nil { + return nil, err + } + r, err := p.readOFSDeltaObjectContent(h, deltaRc) + if err != nil { + return nil, err + } + return r, nil + default: + return nil, ErrInvalidObject.AddDetails("type %q", h.Type) + } +} + func (p *Packfile) getNextMemoryObject(h *ObjectHeader) (plumbing.EncodedObject, error) { var obj = new(plumbing.MemoryObject) obj.SetSize(h.Length) @@ -323,9 +371,9 @@ func (p *Packfile) fillRegularObjectContent(obj plumbing.EncodedObject) (err err } func (p *Packfile) fillREFDeltaObjectContent(obj plumbing.EncodedObject, ref plumbing.Hash) error { - buf := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(buf) - buf.Reset() + buf := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(buf) + _, _, err := p.s.NextObject(buf) if err != nil { return err @@ -334,6 +382,20 @@ func (p *Packfile) fillREFDeltaObjectContent(obj plumbing.EncodedObject, ref plu return p.fillREFDeltaObjectContentWithBuffer(obj, ref, buf) } +func (p *Packfile) readREFDeltaObjectContent(h *ObjectHeader, deltaRC io.Reader) (io.ReadCloser, error) { + var err error + + base, ok := p.cacheGet(h.Reference) + if !ok { + base, err = p.Get(h.Reference) + if err != nil { + return nil, err + } + } + + return ReaderFromDelta(base, deltaRC) +} + func (p *Packfile) fillREFDeltaObjectContentWithBuffer(obj plumbing.EncodedObject, ref plumbing.Hash, buf *bytes.Buffer) error { var err error @@ -353,9 +415,9 @@ func (p *Packfile) fillREFDeltaObjectContentWithBuffer(obj plumbing.EncodedObjec } func (p *Packfile) fillOFSDeltaObjectContent(obj plumbing.EncodedObject, offset int64) error { - buf := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(buf) - buf.Reset() + buf := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(buf) + _, _, err := p.s.NextObject(buf) if err != nil { return err @@ -364,6 +426,20 @@ func (p *Packfile) fillOFSDeltaObjectContent(obj plumbing.EncodedObject, offset return p.fillOFSDeltaObjectContentWithBuffer(obj, offset, buf) } +func (p *Packfile) readOFSDeltaObjectContent(h *ObjectHeader, deltaRC io.Reader) (io.ReadCloser, error) { + hash, err := p.FindHash(h.OffsetReference) + if err != nil { + return nil, err + } + + base, err := p.objectAtOffset(h.OffsetReference, hash) + if err != nil { + return nil, err + } + + return ReaderFromDelta(base, deltaRC) +} + func (p *Packfile) fillOFSDeltaObjectContentWithBuffer(obj plumbing.EncodedObject, offset int64, buf *bytes.Buffer) error { hash, err := p.FindHash(offset) if err != nil { diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/parser.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/parser.go index 4b5a5708cc..522c146f29 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/parser.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/parser.go @@ -10,6 +10,7 @@ import ( "github.com/go-git/go-git/v5/plumbing/cache" "github.com/go-git/go-git/v5/plumbing/storer" "github.com/go-git/go-git/v5/utils/ioutil" + "github.com/go-git/go-git/v5/utils/sync" ) var ( @@ -46,7 +47,6 @@ type Parser struct { oi []*objectInfo oiByHash map[plumbing.Hash]*objectInfo oiByOffset map[int64]*objectInfo - hashOffset map[plumbing.Hash]int64 checksum plumbing.Hash cache *cache.BufferLRU @@ -176,7 +176,8 @@ func (p *Parser) init() error { } func (p *Parser) indexObjects() error { - buf := new(bytes.Buffer) + buf := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(buf) for i := uint32(0); i < p.count; i++ { buf.Reset() @@ -220,6 +221,7 @@ func (p *Parser) indexObjects() error { ota = newBaseObject(oh.Offset, oh.Length, t) } + buf.Grow(int(oh.Length)) _, crc, err := p.scanner.NextObject(buf) if err != nil { return err @@ -265,7 +267,9 @@ func (p *Parser) indexObjects() error { } func (p *Parser) resolveDeltas() error { - buf := &bytes.Buffer{} + buf := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(buf) + for _, obj := range p.oi { buf.Reset() err := p.get(obj, buf) @@ -287,6 +291,7 @@ func (p *Parser) resolveDeltas() error { if err := p.resolveObject(stdioutil.Discard, child, content); err != nil { return err } + p.resolveExternalRef(child) } // Remove the delta from the cache. @@ -299,6 +304,16 @@ func (p *Parser) resolveDeltas() error { return nil } +func (p *Parser) resolveExternalRef(o *objectInfo) { + if ref, ok := p.oiByHash[o.SHA1]; ok && ref.ExternalRef { + p.oiByHash[o.SHA1] = o + o.Children = ref.Children + for _, c := range o.Children { + c.Parent = o + } + } +} + func (p *Parser) get(o *objectInfo, buf *bytes.Buffer) (err error) { if !o.ExternalRef { // skip cache check for placeholder parents b, ok := p.cache.Get(o.Offset) @@ -336,9 +351,8 @@ func (p *Parser) get(o *objectInfo, buf *bytes.Buffer) (err error) { } if o.DiskType.IsDelta() { - b := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(b) - b.Reset() + b := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(b) err := p.get(o.Parent, b) if err != nil { return err @@ -372,9 +386,8 @@ func (p *Parser) resolveObject( if !o.DiskType.IsDelta() { return nil } - buf := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(buf) - buf.Reset() + buf := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(buf) err := p.readData(buf, o) if err != nil { return err diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/patch_delta.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/patch_delta.go index 9e90f30a72..f00562d632 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/patch_delta.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/patch_delta.go @@ -1,12 +1,15 @@ package packfile import ( + "bufio" "bytes" "errors" "io" + "math" "github.com/go-git/go-git/v5/plumbing" "github.com/go-git/go-git/v5/utils/ioutil" + "github.com/go-git/go-git/v5/utils/sync" ) // See https://github.com/git/git/blob/49fa3dc76179e04b0833542fa52d0f287a4955ac/delta.h @@ -32,18 +35,16 @@ func ApplyDelta(target, base plumbing.EncodedObject, delta []byte) (err error) { defer ioutil.CheckClose(w, &err) - buf := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(buf) - buf.Reset() + buf := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(buf) _, err = buf.ReadFrom(r) if err != nil { return err } src := buf.Bytes() - dst := bufPool.Get().(*bytes.Buffer) - defer bufPool.Put(dst) - dst.Reset() + dst := sync.GetBytesBuffer() + defer sync.PutBytesBuffer(dst) err = patchDelta(dst, src, delta) if err != nil { return err @@ -51,9 +52,9 @@ func ApplyDelta(target, base plumbing.EncodedObject, delta []byte) (err error) { target.SetSize(int64(dst.Len())) - b := byteSlicePool.Get().([]byte) - _, err = io.CopyBuffer(w, dst, b) - byteSlicePool.Put(b) + b := sync.GetByteSlice() + _, err = io.CopyBuffer(w, dst, *b) + sync.PutByteSlice(b) return err } @@ -73,6 +74,131 @@ func PatchDelta(src, delta []byte) ([]byte, error) { return b.Bytes(), nil } +func ReaderFromDelta(base plumbing.EncodedObject, deltaRC io.Reader) (io.ReadCloser, error) { + deltaBuf := bufio.NewReaderSize(deltaRC, 1024) + srcSz, err := decodeLEB128ByteReader(deltaBuf) + if err != nil { + if err == io.EOF { + return nil, ErrInvalidDelta + } + return nil, err + } + if srcSz != uint(base.Size()) { + return nil, ErrInvalidDelta + } + + targetSz, err := decodeLEB128ByteReader(deltaBuf) + if err != nil { + if err == io.EOF { + return nil, ErrInvalidDelta + } + return nil, err + } + remainingTargetSz := targetSz + + dstRd, dstWr := io.Pipe() + + go func() { + baseRd, err := base.Reader() + if err != nil { + _ = dstWr.CloseWithError(ErrInvalidDelta) + return + } + defer baseRd.Close() + + baseBuf := bufio.NewReader(baseRd) + basePos := uint(0) + + for { + cmd, err := deltaBuf.ReadByte() + if err == io.EOF { + _ = dstWr.CloseWithError(ErrInvalidDelta) + return + } + if err != nil { + _ = dstWr.CloseWithError(err) + return + } + + if isCopyFromSrc(cmd) { + offset, err := decodeOffsetByteReader(cmd, deltaBuf) + if err != nil { + _ = dstWr.CloseWithError(err) + return + } + sz, err := decodeSizeByteReader(cmd, deltaBuf) + if err != nil { + _ = dstWr.CloseWithError(err) + return + } + + if invalidSize(sz, targetSz) || + invalidOffsetSize(offset, sz, srcSz) { + _ = dstWr.Close() + return + } + + discard := offset - basePos + if basePos > offset { + _ = baseRd.Close() + baseRd, err = base.Reader() + if err != nil { + _ = dstWr.CloseWithError(ErrInvalidDelta) + return + } + baseBuf.Reset(baseRd) + discard = offset + } + for discard > math.MaxInt32 { + n, err := baseBuf.Discard(math.MaxInt32) + if err != nil { + _ = dstWr.CloseWithError(err) + return + } + basePos += uint(n) + discard -= uint(n) + } + for discard > 0 { + n, err := baseBuf.Discard(int(discard)) + if err != nil { + _ = dstWr.CloseWithError(err) + return + } + basePos += uint(n) + discard -= uint(n) + } + if _, err := io.Copy(dstWr, io.LimitReader(baseBuf, int64(sz))); err != nil { + _ = dstWr.CloseWithError(err) + return + } + remainingTargetSz -= sz + basePos += sz + } else if isCopyFromDelta(cmd) { + sz := uint(cmd) // cmd is the size itself + if invalidSize(sz, targetSz) { + _ = dstWr.CloseWithError(ErrInvalidDelta) + return + } + if _, err := io.Copy(dstWr, io.LimitReader(deltaBuf, int64(sz))); err != nil { + _ = dstWr.CloseWithError(err) + return + } + + remainingTargetSz -= sz + } else { + _ = dstWr.CloseWithError(ErrDeltaCmd) + return + } + if remainingTargetSz <= 0 { + _ = dstWr.Close() + return + } + } + }() + + return dstRd, nil +} + func patchDelta(dst *bytes.Buffer, src, delta []byte) error { if len(delta) < deltaSizeMin { return ErrInvalidDelta @@ -161,6 +287,25 @@ func decodeLEB128(input []byte) (uint, []byte) { return num, input[sz:] } +func decodeLEB128ByteReader(input io.ByteReader) (uint, error) { + var num, sz uint + for { + b, err := input.ReadByte() + if err != nil { + return 0, err + } + + num |= (uint(b) & payload) << (sz * 7) // concats 7 bits chunks + sz++ + + if uint(b)&continuation == 0 { + break + } + } + + return num, nil +} + const ( payload = 0x7f // 0111 1111 continuation = 0x80 // 1000 0000 @@ -174,6 +319,40 @@ func isCopyFromDelta(cmd byte) bool { return (cmd&0x80) == 0 && cmd != 0 } +func decodeOffsetByteReader(cmd byte, delta io.ByteReader) (uint, error) { + var offset uint + if (cmd & 0x01) != 0 { + next, err := delta.ReadByte() + if err != nil { + return 0, err + } + offset = uint(next) + } + if (cmd & 0x02) != 0 { + next, err := delta.ReadByte() + if err != nil { + return 0, err + } + offset |= uint(next) << 8 + } + if (cmd & 0x04) != 0 { + next, err := delta.ReadByte() + if err != nil { + return 0, err + } + offset |= uint(next) << 16 + } + if (cmd & 0x08) != 0 { + next, err := delta.ReadByte() + if err != nil { + return 0, err + } + offset |= uint(next) << 24 + } + + return offset, nil +} + func decodeOffset(cmd byte, delta []byte) (uint, []byte, error) { var offset uint if (cmd & 0x01) != 0 { @@ -208,6 +387,36 @@ func decodeOffset(cmd byte, delta []byte) (uint, []byte, error) { return offset, delta, nil } +func decodeSizeByteReader(cmd byte, delta io.ByteReader) (uint, error) { + var sz uint + if (cmd & 0x10) != 0 { + next, err := delta.ReadByte() + if err != nil { + return 0, err + } + sz = uint(next) + } + if (cmd & 0x20) != 0 { + next, err := delta.ReadByte() + if err != nil { + return 0, err + } + sz |= uint(next) << 8 + } + if (cmd & 0x40) != 0 { + next, err := delta.ReadByte() + if err != nil { + return 0, err + } + sz |= uint(next) << 16 + } + if sz == 0 { + sz = 0x10000 + } + + return sz, nil +} + func decodeSize(cmd byte, delta []byte) (uint, []byte, error) { var sz uint if (cmd & 0x10) != 0 { diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/scanner.go b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/scanner.go index 6e6a687886..9ebb84a24a 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/scanner.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/format/packfile/scanner.go @@ -3,17 +3,16 @@ package packfile import ( "bufio" "bytes" - "compress/zlib" "fmt" "hash" "hash/crc32" "io" stdioutil "io/ioutil" - "sync" "github.com/go-git/go-git/v5/plumbing" "github.com/go-git/go-git/v5/utils/binary" "github.com/go-git/go-git/v5/utils/ioutil" + "github.com/go-git/go-git/v5/utils/sync" ) var ( @@ -114,7 +113,7 @@ func (s *Scanner) Header() (version, objects uint32, err error) { return } -// readSignature reads an returns the signature field in the packfile. +// readSignature reads a returns the signature field in the packfile. func (s *Scanner) readSignature() ([]byte, error) { var sig = make([]byte, 4) if _, err := io.ReadFull(s.r, sig); err != nil { @@ -320,29 +319,38 @@ func (s *Scanner) NextObject(w io.Writer) (written int64, crc32 uint32, err erro return } +// ReadObject returns a reader for the object content and an error +func (s *Scanner) ReadObject() (io.ReadCloser, error) { + s.pendingObject = nil + zr, err := sync.GetZlibReader(s.r) + + if err != nil { + return nil, fmt.Errorf("zlib reset error: %s", err) + } + + return ioutil.NewReadCloserWithCloser(zr.Reader, func() error { + sync.PutZlibReader(zr) + return nil + }), nil +} + // ReadRegularObject reads and write a non-deltified object // from it zlib stream in an object entry in the packfile. func (s *Scanner) copyObject(w io.Writer) (n int64, err error) { - zr := zlibReaderPool.Get().(io.ReadCloser) - defer zlibReaderPool.Put(zr) + zr, err := sync.GetZlibReader(s.r) + defer sync.PutZlibReader(zr) - if err = zr.(zlib.Resetter).Reset(s.r, nil); err != nil { + if err != nil { return 0, fmt.Errorf("zlib reset error: %s", err) } - defer ioutil.CheckClose(zr, &err) - buf := byteSlicePool.Get().([]byte) - n, err = io.CopyBuffer(w, zr, buf) - byteSlicePool.Put(buf) + defer ioutil.CheckClose(zr.Reader, &err) + buf := sync.GetByteSlice() + n, err = io.CopyBuffer(w, zr.Reader, *buf) + sync.PutByteSlice(buf) return } -var byteSlicePool = sync.Pool{ - New: func() interface{} { - return make([]byte, 32*1024) - }, -} - // SeekFromStart sets a new offset from start, returns the old position before // the change. func (s *Scanner) SeekFromStart(offset int64) (previous int64, err error) { @@ -372,9 +380,10 @@ func (s *Scanner) Checksum() (plumbing.Hash, error) { // Close reads the reader until io.EOF func (s *Scanner) Close() error { - buf := byteSlicePool.Get().([]byte) - _, err := io.CopyBuffer(stdioutil.Discard, s.r, buf) - byteSlicePool.Put(buf) + buf := sync.GetByteSlice() + _, err := io.CopyBuffer(stdioutil.Discard, s.r, *buf) + sync.PutByteSlice(buf) + return err } @@ -384,13 +393,13 @@ func (s *Scanner) Flush() error { } // scannerReader has the following characteristics: -// - Provides an io.SeekReader impl for bufio.Reader, when the underlying -// reader supports it. -// - Keeps track of the current read position, for when the underlying reader -// isn't an io.SeekReader, but we still want to know the current offset. -// - Writes to the hash writer what it reads, with the aid of a smaller buffer. -// The buffer helps avoid a performance penality for performing small writes -// to the crc32 hash writer. +// - Provides an io.SeekReader impl for bufio.Reader, when the underlying +// reader supports it. +// - Keeps track of the current read position, for when the underlying reader +// isn't an io.SeekReader, but we still want to know the current offset. +// - Writes to the hash writer what it reads, with the aid of a smaller buffer. +// The buffer helps avoid a performance penalty for performing small writes +// to the crc32 hash writer. type scannerReader struct { reader io.Reader crc io.Writer diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/hash.go b/vendor/github.com/go-git/go-git/v5/plumbing/hash.go index afc602a9ec..2fab7593bf 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/hash.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/hash.go @@ -2,11 +2,12 @@ package plumbing import ( "bytes" - "crypto/sha1" + "crypto" "encoding/hex" - "hash" "sort" "strconv" + + "github.com/go-git/go-git/v5/plumbing/hash" ) // Hash SHA1 hashed content @@ -46,7 +47,7 @@ type Hasher struct { } func NewHasher(t ObjectType, size int64) Hasher { - h := Hasher{sha1.New()} + h := Hasher{hash.New(crypto.SHA1)} h.Write(t.Bytes()) h.Write([]byte(" ")) h.Write([]byte(strconv.FormatInt(size, 10))) diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/hash/hash.go b/vendor/github.com/go-git/go-git/v5/plumbing/hash/hash.go new file mode 100644 index 0000000000..80e4b5f254 --- /dev/null +++ b/vendor/github.com/go-git/go-git/v5/plumbing/hash/hash.go @@ -0,0 +1,57 @@ +// package hash provides a way for managing the +// underlying hash implementations used across go-git. +package hash + +import ( + "crypto" + "fmt" + "hash" + + "github.com/pjbgf/sha1cd" +) + +// algos is a map of hash algorithms. +var algos = map[crypto.Hash]func() hash.Hash{} + +func init() { + reset() +} + +// reset resets the default algos value. Can be used after running tests +// that registers new algorithms to avoid side effects. +func reset() { + algos[crypto.SHA1] = sha1cd.New +} + +// RegisterHash allows for the hash algorithm used to be overriden. +// This ensures the hash selection for go-git must be explicit, when +// overriding the default value. +func RegisterHash(h crypto.Hash, f func() hash.Hash) error { + if f == nil { + return fmt.Errorf("cannot register hash: f is nil") + } + + switch h { + case crypto.SHA1: + algos[h] = f + default: + return fmt.Errorf("unsupported hash function: %v", h) + } + return nil +} + +// Hash is the same as hash.Hash. This allows consumers +// to not having to import this package alongside "hash". +type Hash interface { + hash.Hash +} + +// New returns a new Hash for the given hash function. +// It panics if the hash function is not registered. +func New(h crypto.Hash) Hash { + hh, ok := algos[h] + if !ok { + panic(fmt.Sprintf("hash algorithm not registered: %v", h)) + } + return hh() +} diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/memory.go b/vendor/github.com/go-git/go-git/v5/plumbing/memory.go index 21337cc0dd..6d11271dd6 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/memory.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/memory.go @@ -25,13 +25,13 @@ func (o *MemoryObject) Hash() Hash { return o.h } -// Type return the ObjectType +// Type returns the ObjectType func (o *MemoryObject) Type() ObjectType { return o.t } // SetType sets the ObjectType func (o *MemoryObject) SetType(t ObjectType) { o.t = t } -// Size return the size of the object +// Size returns the size of the object func (o *MemoryObject) Size() int64 { return o.sz } // SetSize set the object size, a content of the given size should be written diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/object/change.go b/vendor/github.com/go-git/go-git/v5/plumbing/object/change.go index 8b119bc9c9..3c619df868 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/object/change.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/object/change.go @@ -39,7 +39,7 @@ func (c *Change) Action() (merkletrie.Action, error) { return merkletrie.Modify, nil } -// Files return the files before and after a change. +// Files returns the files before and after a change. // For insertions from will be nil. For deletions to will be nil. func (c *Change) Files() (from, to *File, err error) { action, err := c.Action() diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/object/change_adaptor.go b/vendor/github.com/go-git/go-git/v5/plumbing/object/change_adaptor.go index f701188288..b96ee84d90 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/object/change_adaptor.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/object/change_adaptor.go @@ -16,11 +16,11 @@ func newChange(c merkletrie.Change) (*Change, error) { var err error if ret.From, err = newChangeEntry(c.From); err != nil { - return nil, fmt.Errorf("From field: %s", err) + return nil, fmt.Errorf("from field: %s", err) } if ret.To, err = newChangeEntry(c.To); err != nil { - return nil, fmt.Errorf("To field: %s", err) + return nil, fmt.Errorf("to field: %s", err) } return ret, nil diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/object/commit.go b/vendor/github.com/go-git/go-git/v5/plumbing/object/commit.go index 7a1b8e5ae0..d2f7184084 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/object/commit.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/object/commit.go @@ -1,7 +1,6 @@ package object import ( - "bufio" "bytes" "context" "errors" @@ -14,6 +13,7 @@ import ( "github.com/go-git/go-git/v5/plumbing" "github.com/go-git/go-git/v5/plumbing/storer" "github.com/go-git/go-git/v5/utils/ioutil" + "github.com/go-git/go-git/v5/utils/sync" ) const ( @@ -180,9 +180,8 @@ func (c *Commit) Decode(o plumbing.EncodedObject) (err error) { } defer ioutil.CheckClose(reader, &err) - r := bufPool.Get().(*bufio.Reader) - defer bufPool.Put(r) - r.Reset(reader) + r := sync.GetBufioReader(reader) + defer sync.PutBufioReader(r) var message bool var pgpsig bool diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/object/common.go b/vendor/github.com/go-git/go-git/v5/plumbing/object/common.go deleted file mode 100644 index 3591f5f0a6..0000000000 --- a/vendor/github.com/go-git/go-git/v5/plumbing/object/common.go +++ /dev/null @@ -1,12 +0,0 @@ -package object - -import ( - "bufio" - "sync" -) - -var bufPool = sync.Pool{ - New: func() interface{} { - return bufio.NewReader(nil) - }, -} diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/object/patch.go b/vendor/github.com/go-git/go-git/v5/plumbing/object/patch.go index 56b62c191f..06bc35bbcc 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/object/patch.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/object/patch.go @@ -96,10 +96,6 @@ func filePatchWithContext(ctx context.Context, c *Change) (fdiff.FilePatch, erro } -func filePatch(c *Change) (fdiff.FilePatch, error) { - return filePatchWithContext(context.Background(), c) -} - func fileContent(f *File) (content string, isBinary bool, err error) { if f == nil { return diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/object/rename.go b/vendor/github.com/go-git/go-git/v5/plumbing/object/rename.go index 7fed72c2f5..0394613fff 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/object/rename.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/object/rename.go @@ -403,10 +403,16 @@ func min(a, b int) int { return b } +const maxMatrixSize = 10000 + func buildSimilarityMatrix(srcs, dsts []*Change, renameScore int) (similarityMatrix, error) { // Allocate for the worst-case scenario where every pair has a score // that we need to consider. We might not need that many. - matrix := make(similarityMatrix, 0, len(srcs)*len(dsts)) + matrixSize := len(srcs) * len(dsts) + if matrixSize > maxMatrixSize { + matrixSize = maxMatrixSize + } + matrix := make(similarityMatrix, 0, matrixSize) srcSizes := make([]int64, len(srcs)) dstSizes := make([]int64, len(dsts)) dstTooLarge := make(map[int]bool) diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/object/signature.go b/vendor/github.com/go-git/go-git/v5/plumbing/object/signature.go new file mode 100644 index 0000000000..91cf371f0c --- /dev/null +++ b/vendor/github.com/go-git/go-git/v5/plumbing/object/signature.go @@ -0,0 +1,101 @@ +package object + +import "bytes" + +const ( + signatureTypeUnknown signatureType = iota + signatureTypeOpenPGP + signatureTypeX509 + signatureTypeSSH +) + +var ( + // openPGPSignatureFormat is the format of an OpenPGP signature. + openPGPSignatureFormat = signatureFormat{ + []byte("-----BEGIN PGP SIGNATURE-----"), + []byte("-----BEGIN PGP MESSAGE-----"), + } + // x509SignatureFormat is the format of an X509 signature, which is + // a PKCS#7 (S/MIME) signature. + x509SignatureFormat = signatureFormat{ + []byte("-----BEGIN CERTIFICATE-----"), + } + + // sshSignatureFormat is the format of an SSH signature. + sshSignatureFormat = signatureFormat{ + []byte("-----BEGIN SSH SIGNATURE-----"), + } +) + +var ( + // knownSignatureFormats is a map of known signature formats, indexed by + // their signatureType. + knownSignatureFormats = map[signatureType]signatureFormat{ + signatureTypeOpenPGP: openPGPSignatureFormat, + signatureTypeX509: x509SignatureFormat, + signatureTypeSSH: sshSignatureFormat, + } +) + +// signatureType represents the type of the signature. +type signatureType int8 + +// signatureFormat represents the beginning of a signature. +type signatureFormat [][]byte + +// typeForSignature returns the type of the signature based on its format. +func typeForSignature(b []byte) signatureType { + for t, i := range knownSignatureFormats { + for _, begin := range i { + if bytes.HasPrefix(b, begin) { + return t + } + } + } + return signatureTypeUnknown +} + +// parseSignedBytes returns the position of the last signature block found in +// the given bytes. If no signature block is found, it returns -1. +// +// When multiple signature blocks are found, the position of the last one is +// returned. Any tailing bytes after this signature block start should be +// considered part of the signature. +// +// Given this, it would be safe to use the returned position to split the bytes +// into two parts: the first part containing the message, the second part +// containing the signature. +// +// Example: +// +// message := []byte(`Message with signature +// +// -----BEGIN SSH SIGNATURE----- +// ...`) +// +// var signature string +// if pos, _ := parseSignedBytes(message); pos != -1 { +// signature = string(message[pos:]) +// message = message[:pos] +// } +// +// This logic is on par with git's gpg-interface.c:parse_signed_buffer(). +// https://github.com/git/git/blob/7c2ef319c52c4997256f5807564523dfd4acdfc7/gpg-interface.c#L668 +func parseSignedBytes(b []byte) (int, signatureType) { + var n, match = 0, -1 + var t signatureType + for n < len(b) { + var i = b[n:] + if st := typeForSignature(i); st != signatureTypeUnknown { + match = n + t = st + } + if eol := bytes.IndexByte(i, '\n'); eol >= 0 { + n += eol + 1 + continue + } + // If we reach this point, we've reached the end. + break + } + return match, t +} diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/object/tag.go b/vendor/github.com/go-git/go-git/v5/plumbing/object/tag.go index 216010d913..cf46c08e18 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/object/tag.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/object/tag.go @@ -1,18 +1,16 @@ package object import ( - "bufio" "bytes" "fmt" "io" - stdioutil "io/ioutil" "strings" "github.com/ProtonMail/go-crypto/openpgp" - "github.com/go-git/go-git/v5/plumbing" "github.com/go-git/go-git/v5/plumbing/storer" "github.com/go-git/go-git/v5/utils/ioutil" + "github.com/go-git/go-git/v5/utils/sync" ) // Tag represents an annotated tag object. It points to a single git object of @@ -93,9 +91,9 @@ func (t *Tag) Decode(o plumbing.EncodedObject) (err error) { } defer ioutil.CheckClose(reader, &err) - r := bufPool.Get().(*bufio.Reader) - defer bufPool.Put(r) - r.Reset(reader) + r := sync.GetBufioReader(reader) + defer sync.PutBufioReader(r) + for { var line []byte line, err = r.ReadBytes('\n') @@ -128,40 +126,15 @@ func (t *Tag) Decode(o plumbing.EncodedObject) (err error) { } } - data, err := stdioutil.ReadAll(r) + data, err := io.ReadAll(r) if err != nil { return err } - - var pgpsig bool - // Check if data contains PGP signature. - if bytes.Contains(data, []byte(beginpgp)) { - // Split the lines at newline. - messageAndSig := bytes.Split(data, []byte("\n")) - - for _, l := range messageAndSig { - if pgpsig { - if bytes.Contains(l, []byte(endpgp)) { - t.PGPSignature += endpgp + "\n" - break - } else { - t.PGPSignature += string(l) + "\n" - } - continue - } - - // Check if it's the beginning of a PGP signature. - if bytes.Contains(l, []byte(beginpgp)) { - t.PGPSignature += beginpgp + "\n" - pgpsig = true - continue - } - - t.Message += string(l) + "\n" - } - } else { - t.Message = string(data) + if sm, _ := parseSignedBytes(data); sm >= 0 { + t.PGPSignature = string(data[sm:]) + data = data[:sm] } + t.Message = string(data) return nil } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/object/tree.go b/vendor/github.com/go-git/go-git/v5/plumbing/object/tree.go index 5e6378ca49..e9f7666b83 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/object/tree.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/object/tree.go @@ -1,7 +1,6 @@ package object import ( - "bufio" "context" "errors" "fmt" @@ -14,6 +13,7 @@ import ( "github.com/go-git/go-git/v5/plumbing/filemode" "github.com/go-git/go-git/v5/plumbing/storer" "github.com/go-git/go-git/v5/utils/ioutil" + "github.com/go-git/go-git/v5/utils/sync" ) const ( @@ -230,9 +230,9 @@ func (t *Tree) Decode(o plumbing.EncodedObject) (err error) { } defer ioutil.CheckClose(reader, &err) - r := bufPool.Get().(*bufio.Reader) - defer bufPool.Put(r) - r.Reset(reader) + r := sync.GetBufioReader(reader) + defer sync.PutBufioReader(r) + for { str, err := r.ReadString(' ') if err != nil { diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/object/treenoder.go b/vendor/github.com/go-git/go-git/v5/plumbing/object/treenoder.go index b4891b957c..6e7b334cbd 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/object/treenoder.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/object/treenoder.go @@ -38,6 +38,10 @@ func NewTreeRootNode(t *Tree) noder.Noder { } } +func (t *treeNoder) Skip() bool { + return false +} + func (t *treeNoder) isRoot() bool { return t.name == "" } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/capability/capability.go b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/capability/capability.go index 8d6a56f532..b52e8a49d5 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/capability/capability.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/capability/capability.go @@ -1,6 +1,11 @@ // Package capability defines the server and client capabilities. package capability +import ( + "fmt" + "os" +) + // Capability describes a server or client capability. type Capability string @@ -238,7 +243,15 @@ const ( Filter Capability = "filter" ) -const DefaultAgent = "go-git/4.x" +const userAgent = "go-git/5.x" + +// DefaultAgent provides the user agent string. +func DefaultAgent() string { + if envUserAgent, ok := os.LookupEnv("GO_GIT_USER_AGENT_EXTRA"); ok { + return fmt.Sprintf("%s %s", userAgent, envUserAgent) + } + return userAgent +} var known = map[Capability]bool{ MultiACK: true, MultiACKDetailed: true, NoDone: true, ThinPack: true, diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/capability/list.go b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/capability/list.go index f41ec799cf..553d81cbe4 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/capability/list.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/capability/list.go @@ -86,7 +86,9 @@ func (l *List) Get(capability Capability) []string { // Set sets a capability removing the previous values func (l *List) Set(capability Capability, values ...string) error { - delete(l.m, capability) + if _, ok := l.m[capability]; ok { + l.m[capability].Values = l.m[capability].Values[:0] + } return l.Add(capability, values...) } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/common.go b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/common.go index ab07ac8f74..fef50a4509 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/common.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/common.go @@ -19,7 +19,6 @@ var ( // common sp = []byte(" ") eol = []byte("\n") - eq = []byte{'='} // advertised-refs null = []byte("\x00") diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/srvresp.go b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/srvresp.go index b3a7ee804c..8cd0a72479 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/srvresp.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/srvresp.go @@ -21,11 +21,6 @@ type ServerResponse struct { // Decode decodes the response into the struct, isMultiACK should be true, if // the request was done with multi_ack or multi_ack_detailed capabilities. func (r *ServerResponse) Decode(reader *bufio.Reader, isMultiACK bool) error { - // TODO: implement support for multi_ack or multi_ack_detailed responses - if isMultiACK { - return errors.New("multi_ack and multi_ack_detailed are not supported") - } - s := pktline.NewScanner(reader) for s.Scan() { @@ -48,7 +43,23 @@ func (r *ServerResponse) Decode(reader *bufio.Reader, isMultiACK bool) error { } } - return s.Err() + // isMultiACK is true when the remote server advertises the related + // capabilities when they are not in transport.UnsupportedCapabilities. + // + // Users may decide to remove multi_ack and multi_ack_detailed from the + // unsupported capabilities list, which allows them to do initial clones + // from Azure DevOps. + // + // Follow-up fetches may error, therefore errors are wrapped with additional + // information highlighting that this capabilities are not supported by go-git. + // + // TODO: Implement support for multi_ack or multi_ack_detailed responses. + err := s.Err() + if err != nil && isMultiACK { + return fmt.Errorf("multi_ack and multi_ack_detailed are not supported: %w", err) + } + + return err } // stopReading detects when a valid command such as ACK or NAK is found to be @@ -113,8 +124,9 @@ func (r *ServerResponse) decodeACKLine(line []byte) error { } // Encode encodes the ServerResponse into a writer. -func (r *ServerResponse) Encode(w io.Writer) error { - if len(r.ACKs) > 1 { +func (r *ServerResponse) Encode(w io.Writer, isMultiACK bool) error { + if len(r.ACKs) > 1 && !isMultiACK { + // For further information, refer to comments in the Decode func above. return errors.New("multi_ack and multi_ack_detailed are not supported") } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/ulreq.go b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/ulreq.go index ddec06e996..344f8c7e3a 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/ulreq.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/ulreq.go @@ -95,7 +95,7 @@ func NewUploadRequestFromCapabilities(adv *capability.List) *UploadRequest { } if adv.Supports(capability.Agent) { - r.Capabilities.Set(capability.Agent, capability.DefaultAgent) + r.Capabilities.Set(capability.Agent, capability.DefaultAgent()) } return r diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/updreq.go b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/updreq.go index 4d927d8b8e..8f39b39cbd 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/updreq.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/updreq.go @@ -19,6 +19,7 @@ var ( type ReferenceUpdateRequest struct { Capabilities *capability.List Commands []*Command + Options []*Option Shallow *plumbing.Hash // Packfile contains an optional packfile reader. Packfile io.ReadCloser @@ -58,7 +59,7 @@ func NewReferenceUpdateRequestFromCapabilities(adv *capability.List) *ReferenceU r := NewReferenceUpdateRequest() if adv.Supports(capability.Agent) { - r.Capabilities.Set(capability.Agent, capability.DefaultAgent) + r.Capabilities.Set(capability.Agent, capability.DefaultAgent()) } if adv.Supports(capability.ReportStatus) { @@ -86,9 +87,9 @@ type Action string const ( Create Action = "create" - Update = "update" - Delete = "delete" - Invalid = "invalid" + Update Action = "update" + Delete Action = "delete" + Invalid Action = "invalid" ) type Command struct { @@ -120,3 +121,8 @@ func (c *Command) validate() error { return nil } + +type Option struct { + Key string + Value string +} diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/updreq_encode.go b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/updreq_encode.go index 2545e935e6..1205cfaf18 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/updreq_encode.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/updreq_encode.go @@ -9,10 +9,6 @@ import ( "github.com/go-git/go-git/v5/plumbing/protocol/packp/capability" ) -var ( - zeroHashString = plumbing.ZeroHash.String() -) - // Encode writes the ReferenceUpdateRequest encoding to the stream. func (req *ReferenceUpdateRequest) Encode(w io.Writer) error { if err := req.validate(); err != nil { @@ -29,6 +25,12 @@ func (req *ReferenceUpdateRequest) Encode(w io.Writer) error { return err } + if req.Capabilities.Supports(capability.PushOptions) { + if err := req.encodeOptions(e, req.Options); err != nil { + return err + } + } + if req.Packfile != nil { if _, err := io.Copy(w, req.Packfile); err != nil { return err @@ -73,3 +75,15 @@ func formatCommand(cmd *Command) string { n := cmd.New.String() return fmt.Sprintf("%s %s %s", o, n, cmd.Name) } + +func (req *ReferenceUpdateRequest) encodeOptions(e *pktline.Encoder, + opts []*Option) error { + + for _, opt := range opts { + if err := e.Encodef("%s=%s", opt.Key, opt.Value); err != nil { + return err + } + } + + return e.Flush() +} diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/uppackresp.go b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/uppackresp.go index a9a7192ea5..a485cb7b26 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/uppackresp.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/protocol/packp/uppackresp.go @@ -24,7 +24,6 @@ type UploadPackResponse struct { r io.ReadCloser isShallow bool isMultiACK bool - isOk bool } // NewUploadPackResponse create a new UploadPackResponse instance, the request @@ -79,7 +78,7 @@ func (r *UploadPackResponse) Encode(w io.Writer) (err error) { } } - if err := r.ServerResponse.Encode(w); err != nil { + if err := r.ServerResponse.Encode(w, r.isMultiACK); err != nil { return err } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/reference.go b/vendor/github.com/go-git/go-git/v5/plumbing/reference.go index 08e908f1f3..eef11e8275 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/reference.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/reference.go @@ -168,22 +168,22 @@ func NewHashReference(n ReferenceName, h Hash) *Reference { } } -// Type return the type of a reference +// Type returns the type of a reference func (r *Reference) Type() ReferenceType { return r.t } -// Name return the name of a reference +// Name returns the name of a reference func (r *Reference) Name() ReferenceName { return r.n } -// Hash return the hash of a hash reference +// Hash returns the hash of a hash reference func (r *Reference) Hash() Hash { return r.h } -// Target return the target of a symbolic reference +// Target returns the target of a symbolic reference func (r *Reference) Target() ReferenceName { return r.target } @@ -204,6 +204,21 @@ func (r *Reference) Strings() [2]string { } func (r *Reference) String() string { - s := r.Strings() - return fmt.Sprintf("%s %s", s[1], s[0]) + ref := "" + switch r.Type() { + case HashReference: + ref = r.Hash().String() + case SymbolicReference: + ref = symrefPrefix + r.Target().String() + default: + return "" + } + + name := r.Name().String() + var v strings.Builder + v.Grow(len(ref) + len(name) + 1) + v.WriteString(ref) + v.WriteString(" ") + v.WriteString(name) + return v.String() } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/storer/object.go b/vendor/github.com/go-git/go-git/v5/plumbing/storer/object.go index dfe309db16..d8a9c27a6c 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/storer/object.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/storer/object.go @@ -52,8 +52,8 @@ type DeltaObjectStorer interface { DeltaObject(plumbing.ObjectType, plumbing.Hash) (plumbing.EncodedObject, error) } -// Transactioner is a optional method for ObjectStorer, it enable transaction -// base write and read operations in the storage +// Transactioner is a optional method for ObjectStorer, it enables transactional read and write +// operations. type Transactioner interface { // Begin starts a transaction. Begin() Transaction @@ -87,8 +87,8 @@ type PackedObjectStorer interface { DeleteOldObjectPackAndIndex(plumbing.Hash, time.Time) error } -// PackfileWriter is a optional method for ObjectStorer, it enable direct write -// of packfile to the storage +// PackfileWriter is an optional method for ObjectStorer, it enables directly writing +// a packfile to storage. type PackfileWriter interface { // PackfileWriter returns a writer for writing a packfile to the storage // diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/transport/common.go b/vendor/github.com/go-git/go-git/v5/plumbing/transport/common.go index a9ee2caee7..a2a78f0289 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/transport/common.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/transport/common.go @@ -112,7 +112,7 @@ type Endpoint struct { Port int // Path is the repository path. Path string - // InsecureSkipTLS skips ssl verify if protocal is https + // InsecureSkipTLS skips ssl verify if protocol is https InsecureSkipTLS bool // CaBundle specify additional ca bundle with system cert pool CaBundle []byte diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/transport/git/common.go b/vendor/github.com/go-git/go-git/v5/plumbing/transport/git/common.go index 306aae261f..c18d600c21 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/transport/git/common.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/transport/git/common.go @@ -77,14 +77,14 @@ func (c *command) StderrPipe() (io.Reader, error) { return nil, nil } -// StdinPipe return the underlying connection as WriteCloser, wrapped to prevent +// StdinPipe returns the underlying connection as WriteCloser, wrapped to prevent // call to the Close function from the connection, a command execution in git // protocol can't be closed or killed func (c *command) StdinPipe() (io.WriteCloser, error) { return ioutil.WriteNopCloser(c.conn), nil } -// StdoutPipe return the underlying connection as Reader +// StdoutPipe returns the underlying connection as Reader func (c *command) StdoutPipe() (io.Reader, error) { return c.conn, nil } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/transport/internal/common/common.go b/vendor/github.com/go-git/go-git/v5/plumbing/transport/internal/common/common.go index fdb148f599..b2c2fee381 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/transport/internal/common/common.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/transport/internal/common/common.go @@ -374,7 +374,7 @@ func (s *session) checkNotFoundError() error { case <-t.C: return ErrTimeoutExceeded case line, ok := <-s.firstErrLine: - if !ok { + if !ok || len(line) == 0 { return nil } @@ -428,11 +428,6 @@ func isRepoNotFoundError(s string) bool { return false } -var ( - nak = []byte("NAK") - eol = []byte("\n") -) - // uploadPack implements the git-upload-pack protocol. func uploadPack(w io.WriteCloser, r io.Reader, req *packp.UploadPackRequest) error { // TODO support multi_ack mode diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/transport/server/server.go b/vendor/github.com/go-git/go-git/v5/plumbing/transport/server/server.go index 8ab70fe707..11fa0c8013 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/transport/server/server.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/transport/server/server.go @@ -189,7 +189,7 @@ func (s *upSession) objectsToUpload(req *packp.UploadPackRequest) ([]plumbing.Ha } func (*upSession) setSupportedCapabilities(c *capability.List) error { - if err := c.Set(capability.Agent, capability.DefaultAgent); err != nil { + if err := c.Set(capability.Agent, capability.DefaultAgent()); err != nil { return err } @@ -355,7 +355,7 @@ func (s *rpSession) reportStatus() *packp.ReportStatus { } func (*rpSession) setSupportedCapabilities(c *capability.List) error { - if err := c.Set(capability.Agent, capability.DefaultAgent); err != nil { + if err := c.Set(capability.Agent, capability.DefaultAgent()); err != nil { return err } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/transport/ssh/auth_method.go b/vendor/github.com/go-git/go-git/v5/plumbing/transport/ssh/auth_method.go index 3514669546..e89ce4ba3c 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/transport/ssh/auth_method.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/transport/ssh/auth_method.go @@ -10,10 +10,9 @@ import ( "github.com/go-git/go-git/v5/plumbing/transport" - "github.com/mitchellh/go-homedir" + "github.com/skeema/knownhosts" sshagent "github.com/xanzy/ssh-agent" "golang.org/x/crypto/ssh" - "golang.org/x/crypto/ssh/knownhosts" ) const DefaultUsername = "git" @@ -224,12 +223,19 @@ func (a *PublicKeysCallback) ClientConfig() (*ssh.ClientConfig, error) { // // If list of files is empty, then it will be read from the SSH_KNOWN_HOSTS // environment variable, example: -// /home/foo/custom_known_hosts_file:/etc/custom_known/hosts_file +// +// /home/foo/custom_known_hosts_file:/etc/custom_known/hosts_file // // If SSH_KNOWN_HOSTS is not set the following file locations will be used: -// ~/.ssh/known_hosts -// /etc/ssh/ssh_known_hosts +// +// ~/.ssh/known_hosts +// /etc/ssh/ssh_known_hosts func NewKnownHostsCallback(files ...string) (ssh.HostKeyCallback, error) { + kh, err := newKnownHosts(files...) + return ssh.HostKeyCallback(kh), err +} + +func newKnownHosts(files ...string) (knownhosts.HostKeyCallback, error) { var err error if len(files) == 0 { @@ -251,7 +257,7 @@ func getDefaultKnownHostsFiles() ([]string, error) { return files, nil } - homeDirPath, err := homedir.Dir() + homeDirPath, err := os.UserHomeDir() if err != nil { return nil, err } diff --git a/vendor/github.com/go-git/go-git/v5/plumbing/transport/ssh/common.go b/vendor/github.com/go-git/go-git/v5/plumbing/transport/ssh/common.go index 46e79134c3..e06958a3ba 100644 --- a/vendor/github.com/go-git/go-git/v5/plumbing/transport/ssh/common.go +++ b/vendor/github.com/go-git/go-git/v5/plumbing/transport/ssh/common.go @@ -10,6 +10,7 @@ import ( "github.com/go-git/go-git/v5/plumbing/transport" "github.com/go-git/go-git/v5/plumbing/transport/internal/common" + "github.com/skeema/knownhosts" "github.com/kevinburke/ssh_config" "golang.org/x/crypto/ssh" @@ -121,10 +122,24 @@ func (c *command) connect() error { if err != nil { return err } + hostWithPort := c.getHostWithPort() + if config.HostKeyCallback == nil { + kh, err := newKnownHosts() + if err != nil { + return err + } + config.HostKeyCallback = kh.HostKeyCallback() + config.HostKeyAlgorithms = kh.HostKeyAlgorithms(hostWithPort) + } else if len(config.HostKeyAlgorithms) == 0 { + // Set the HostKeyAlgorithms based on HostKeyCallback. + // For background see https://github.com/go-git/go-git/issues/411 as well as + // https://github.com/golang/go/issues/29286 for root cause. + config.HostKeyAlgorithms = knownhosts.HostKeyAlgorithms(config.HostKeyCallback, hostWithPort) + } overrideConfig(c.config, config) - c.client, err = dial("tcp", c.getHostWithPort(), config) + c.client, err = dial("tcp", hostWithPort, config) if err != nil { return err } diff --git a/vendor/github.com/go-git/go-git/v5/prune.go b/vendor/github.com/go-git/go-git/v5/prune.go index cc5907a142..8e35b994e7 100644 --- a/vendor/github.com/go-git/go-git/v5/prune.go +++ b/vendor/github.com/go-git/go-git/v5/prune.go @@ -17,7 +17,7 @@ type PruneOptions struct { Handler PruneHandler } -var ErrLooseObjectsNotSupported = errors.New("Loose objects not supported") +var ErrLooseObjectsNotSupported = errors.New("loose objects not supported") // DeleteObject deletes an object from a repository. // The type conveniently matches PruneHandler. diff --git a/vendor/github.com/go-git/go-git/v5/remote.go b/vendor/github.com/go-git/go-git/v5/remote.go index 4a06106c53..db78ae7187 100644 --- a/vendor/github.com/go-git/go-git/v5/remote.go +++ b/vendor/github.com/go-git/go-git/v5/remote.go @@ -5,10 +5,12 @@ import ( "errors" "fmt" "io" + "strings" "time" "github.com/go-git/go-billy/v5/osfs" "github.com/go-git/go-git/v5/config" + "github.com/go-git/go-git/v5/internal/url" "github.com/go-git/go-git/v5/plumbing" "github.com/go-git/go-git/v5/plumbing/cache" "github.com/go-git/go-git/v5/plumbing/format/packfile" @@ -103,7 +105,11 @@ func (r *Remote) PushContext(ctx context.Context, o *PushOptions) (err error) { return fmt.Errorf("remote names don't match: %s != %s", o.RemoteName, r.c.Name) } - s, err := newSendPackSession(r.c.URLs[0], o.Auth, o.InsecureSkipTLS, o.CABundle) + if o.RemoteURL == "" { + o.RemoteURL = r.c.URLs[0] + } + + s, err := newSendPackSession(o.RemoteURL, o.Auth, o.InsecureSkipTLS, o.CABundle) if err != nil { return err } @@ -183,12 +189,12 @@ func (r *Remote) PushContext(ctx context.Context, o *PushOptions) (err error) { var hashesToPush []plumbing.Hash // Avoid the expensive revlist operation if we're only doing deletes. if !allDelete { - if r.c.IsFirstURLLocal() { + if url.IsLocalEndpoint(o.RemoteURL) { // If we're are pushing to a local repo, it might be much // faster to use a local storage layer to get the commits // to ignore, when calculating the object revlist. localStorer := filesystem.NewStorage( - osfs.New(r.c.URLs[0]), cache.NewObjectLRUDefault()) + osfs.New(o.RemoteURL), cache.NewObjectLRUDefault()) hashesToPush, err = revlist.ObjectsWithStorageForIgnores( r.s, localStorer, objects, haves) } else { @@ -225,6 +231,74 @@ func (r *Remote) useRefDeltas(ar *packp.AdvRefs) bool { return !ar.Capabilities.Supports(capability.OFSDelta) } +func (r *Remote) addReachableTags(localRefs []*plumbing.Reference, remoteRefs storer.ReferenceStorer, req *packp.ReferenceUpdateRequest) error { + tags := make(map[plumbing.Reference]struct{}) + // get a list of all tags locally + for _, ref := range localRefs { + if strings.HasPrefix(string(ref.Name()), "refs/tags") { + tags[*ref] = struct{}{} + } + } + + remoteRefIter, err := remoteRefs.IterReferences() + if err != nil { + return err + } + + // remove any that are already on the remote + if err := remoteRefIter.ForEach(func(reference *plumbing.Reference) error { + delete(tags, *reference) + return nil + }); err != nil { + return err + } + + for tag := range tags { + tagObject, err := object.GetObject(r.s, tag.Hash()) + var tagCommit *object.Commit + if err != nil { + return fmt.Errorf("get tag object: %w", err) + } + + if tagObject.Type() != plumbing.TagObject { + continue + } + + annotatedTag, ok := tagObject.(*object.Tag) + if !ok { + return errors.New("could not get annotated tag object") + } + + tagCommit, err = object.GetCommit(r.s, annotatedTag.Target) + if err != nil { + return fmt.Errorf("get annotated tag commit: %w", err) + } + + // only include tags that are reachable from one of the refs + // already being pushed + for _, cmd := range req.Commands { + if tag.Name() == cmd.Name { + continue + } + + if strings.HasPrefix(cmd.Name.String(), "refs/tags") { + continue + } + + c, err := object.GetCommit(r.s, cmd.New) + if err != nil { + return fmt.Errorf("get commit %v: %w", cmd.Name, err) + } + + if isAncestor, err := tagCommit.IsAncestor(c); err == nil && isAncestor { + req.Commands = append(req.Commands, &packp.Command{Name: tag.Name(), New: tag.Hash()}) + } + } + } + + return nil +} + func (r *Remote) newReferenceUpdateRequest( o *PushOptions, localRefs []*plumbing.Reference, @@ -242,10 +316,28 @@ func (r *Remote) newReferenceUpdateRequest( } } - if err := r.addReferencesToUpdate(o.RefSpecs, localRefs, remoteRefs, req, o.Prune); err != nil { + if ar.Capabilities.Supports(capability.PushOptions) { + _ = req.Capabilities.Set(capability.PushOptions) + for k, v := range o.Options { + req.Options = append(req.Options, &packp.Option{Key: k, Value: v}) + } + } + + if o.Atomic && ar.Capabilities.Supports(capability.Atomic) { + _ = req.Capabilities.Set(capability.Atomic) + } + + if err := r.addReferencesToUpdate(o.RefSpecs, localRefs, remoteRefs, req, o.Prune, o.ForceWithLease); err != nil { + return nil, err } + if o.FollowTags { + if err := r.addReachableTags(localRefs, remoteRefs, req); err != nil { + return nil, err + } + } + return req, nil } @@ -314,7 +406,11 @@ func (r *Remote) fetch(ctx context.Context, o *FetchOptions) (sto storer.Referen o.RefSpecs = r.c.Fetch } - s, err := newUploadPackSession(r.c.URLs[0], o.Auth, o.InsecureSkipTLS, o.CABundle) + if o.RemoteURL == "" { + o.RemoteURL = r.c.URLs[0] + } + + s, err := newUploadPackSession(o.RemoteURL, o.Auth, o.InsecureSkipTLS, o.CABundle) if err != nil { return nil, err } @@ -474,6 +570,7 @@ func (r *Remote) addReferencesToUpdate( remoteRefs storer.ReferenceStorer, req *packp.ReferenceUpdateRequest, prune bool, + forceWithLease *ForceWithLease, ) error { // This references dictionary will be used to search references by name. refsDict := make(map[string]*plumbing.Reference) @@ -487,7 +584,7 @@ func (r *Remote) addReferencesToUpdate( return err } } else { - err := r.addOrUpdateReferences(rs, localRefs, refsDict, remoteRefs, req) + err := r.addOrUpdateReferences(rs, localRefs, refsDict, remoteRefs, req, forceWithLease) if err != nil { return err } @@ -509,20 +606,25 @@ func (r *Remote) addOrUpdateReferences( refsDict map[string]*plumbing.Reference, remoteRefs storer.ReferenceStorer, req *packp.ReferenceUpdateRequest, + forceWithLease *ForceWithLease, ) error { // If it is not a wilcard refspec we can directly search for the reference // in the references dictionary. if !rs.IsWildcard() { ref, ok := refsDict[rs.Src()] if !ok { + commit, err := object.GetCommit(r.s, plumbing.NewHash(rs.Src())) + if err == nil { + return r.addCommit(rs, remoteRefs, commit.Hash, req) + } return nil } - return r.addReferenceIfRefSpecMatches(rs, remoteRefs, ref, req) + return r.addReferenceIfRefSpecMatches(rs, remoteRefs, ref, req, forceWithLease) } for _, ref := range localRefs { - err := r.addReferenceIfRefSpecMatches(rs, remoteRefs, ref, req) + err := r.addReferenceIfRefSpecMatches(rs, remoteRefs, ref, req, forceWithLease) if err != nil { return err } @@ -569,9 +671,46 @@ func (r *Remote) deleteReferences(rs config.RefSpec, }) } +func (r *Remote) addCommit(rs config.RefSpec, + remoteRefs storer.ReferenceStorer, localCommit plumbing.Hash, + req *packp.ReferenceUpdateRequest) error { + + if rs.IsWildcard() { + return errors.New("can't use wildcard together with hash refspecs") + } + + cmd := &packp.Command{ + Name: rs.Dst(""), + Old: plumbing.ZeroHash, + New: localCommit, + } + remoteRef, err := remoteRefs.Reference(cmd.Name) + if err == nil { + if remoteRef.Type() != plumbing.HashReference { + //TODO: check actual git behavior here + return nil + } + + cmd.Old = remoteRef.Hash() + } else if err != plumbing.ErrReferenceNotFound { + return err + } + if cmd.Old == cmd.New { + return nil + } + if !rs.IsForceUpdate() { + if err := checkFastForwardUpdate(r.s, remoteRefs, cmd); err != nil { + return err + } + } + + req.Commands = append(req.Commands, cmd) + return nil +} + func (r *Remote) addReferenceIfRefSpecMatches(rs config.RefSpec, remoteRefs storer.ReferenceStorer, localRef *plumbing.Reference, - req *packp.ReferenceUpdateRequest) error { + req *packp.ReferenceUpdateRequest, forceWithLease *ForceWithLease) error { if localRef.Type() != plumbing.HashReference { return nil @@ -603,7 +742,11 @@ func (r *Remote) addReferenceIfRefSpecMatches(rs config.RefSpec, return nil } - if !rs.IsForceUpdate() { + if forceWithLease != nil { + if err = r.checkForceWithLease(localRef, cmd, forceWithLease); err != nil { + return err + } + } else if !rs.IsForceUpdate() { if err := checkFastForwardUpdate(r.s, remoteRefs, cmd); err != nil { return err } @@ -613,6 +756,31 @@ func (r *Remote) addReferenceIfRefSpecMatches(rs config.RefSpec, return nil } +func (r *Remote) checkForceWithLease(localRef *plumbing.Reference, cmd *packp.Command, forceWithLease *ForceWithLease) error { + remotePrefix := fmt.Sprintf("refs/remotes/%s/", r.Config().Name) + + ref, err := storer.ResolveReference( + r.s, + plumbing.ReferenceName(remotePrefix+strings.Replace(localRef.Name().String(), "refs/heads/", "", -1))) + if err != nil { + return err + } + + if forceWithLease.RefName.String() == "" || (forceWithLease.RefName == cmd.Name) { + expectedOID := ref.Hash() + + if !forceWithLease.Hash.IsZero() { + expectedOID = forceWithLease.Hash + } + + if cmd.Old != expectedOID { + return fmt.Errorf("non-fast-forward update: %s", cmd.Name.String()) + } + } + + return nil +} + func (r *Remote) references() ([]*plumbing.Reference, error) { var localRefs []*plumbing.Reference diff --git a/vendor/github.com/go-git/go-git/v5/repository.go b/vendor/github.com/go-git/go-git/v5/repository.go index d3fbf97593..2a06f8be37 100644 --- a/vendor/github.com/go-git/go-git/v5/repository.go +++ b/vendor/github.com/go-git/go-git/v5/repository.go @@ -56,7 +56,7 @@ var ( ErrWorktreeNotProvided = errors.New("worktree should be provided") ErrIsBareRepository = errors.New("worktree not available in a bare repository") ErrUnableToResolveCommit = errors.New("unable to resolve commit") - ErrPackedObjectsNotSupported = errors.New("Packed objects not supported") + ErrPackedObjectsNotSupported = errors.New("packed objects not supported") ) // Repository represents a git repository @@ -280,6 +280,9 @@ func dotGitToOSFilesystems(path string, detect bool) (dot, wt billy.Filesystem, pathinfo, err := fs.Stat("/") if !os.IsNotExist(err) { + if pathinfo == nil { + return nil, nil, err + } if !pathinfo.IsDir() && detect { fs = osfs.New(filepath.Dir(path)) } @@ -747,21 +750,20 @@ func (r *Repository) buildTagSignature(tag *object.Tag, signKey *openpgp.Entity) // If you want to check to see if the tag is an annotated tag, you can call // TagObject on the hash of the reference in ForEach: // -// ref, err := r.Tag("v0.1.0") -// if err != nil { -// // Handle error -// } -// -// obj, err := r.TagObject(ref.Hash()) -// switch err { -// case nil: -// // Tag object present -// case plumbing.ErrObjectNotFound: -// // Not a tag object -// default: -// // Some other error -// } +// ref, err := r.Tag("v0.1.0") +// if err != nil { +// // Handle error +// } // +// obj, err := r.TagObject(ref.Hash()) +// switch err { +// case nil: +// // Tag object present +// case plumbing.ErrObjectNotFound: +// // Not a tag object +// default: +// // Some other error +// } func (r *Repository) Tag(name string) (*plumbing.Reference, error) { ref, err := r.Reference(plumbing.ReferenceName(path.Join("refs", "tags", name)), false) if err != nil { @@ -1238,26 +1240,25 @@ func commitIterFunc(order LogOrder) func(c *object.Commit) object.CommitIter { // If you want to check to see if the tag is an annotated tag, you can call // TagObject on the hash Reference passed in through ForEach: // -// iter, err := r.Tags() -// if err != nil { -// // Handle error -// } -// -// if err := iter.ForEach(func (ref *plumbing.Reference) error { -// obj, err := r.TagObject(ref.Hash()) -// switch err { -// case nil: -// // Tag object present -// case plumbing.ErrObjectNotFound: -// // Not a tag object -// default: -// // Some other error -// return err -// } -// }); err != nil { -// // Handle outer iterator error -// } +// iter, err := r.Tags() +// if err != nil { +// // Handle error +// } // +// if err := iter.ForEach(func (ref *plumbing.Reference) error { +// obj, err := r.TagObject(ref.Hash()) +// switch err { +// case nil: +// // Tag object present +// case plumbing.ErrObjectNotFound: +// // Not a tag object +// default: +// // Some other error +// return err +// } +// }); err != nil { +// // Handle outer iterator error +// } func (r *Repository) Tags() (storer.ReferenceIter, error) { refIter, err := r.Storer.IterReferences() if err != nil { @@ -1421,9 +1422,13 @@ func (r *Repository) Worktree() (*Worktree, error) { // // Implemented resolvers : HEAD, branch, tag, heads/branch, refs/heads/branch, // refs/tags/tag, refs/remotes/origin/branch, refs/remotes/origin/HEAD, tilde and caret (HEAD~1, master~^, tag~2, ref/heads/master~1, ...), selection by text (HEAD^{/fix nasty bug}), hash (prefix and full) -func (r *Repository) ResolveRevision(rev plumbing.Revision) (*plumbing.Hash, error) { - p := revision.NewParserFromString(string(rev)) +func (r *Repository) ResolveRevision(in plumbing.Revision) (*plumbing.Hash, error) { + rev := in.String() + if rev == "" { + return &plumbing.ZeroHash, plumbing.ErrReferenceNotFound + } + p := revision.NewParserFromString(rev) items, err := p.Parse() if err != nil { @@ -1547,13 +1552,17 @@ func (r *Repository) ResolveRevision(rev plumbing.Revision) (*plumbing.Hash, err } if c == nil { - return &plumbing.ZeroHash, fmt.Errorf(`No commit message match regexp : "%s"`, re.String()) + return &plumbing.ZeroHash, fmt.Errorf("no commit message match regexp: %q", re.String()) } commit = c } } + if commit == nil { + return &plumbing.ZeroHash, plumbing.ErrReferenceNotFound + } + return &commit.Hash, nil } diff --git a/vendor/github.com/go-git/go-git/v5/storage/filesystem/dotgit/dotgit.go b/vendor/github.com/go-git/go-git/v5/storage/filesystem/dotgit/dotgit.go index 6c386f7992..2be2bae3ec 100644 --- a/vendor/github.com/go-git/go-git/v5/storage/filesystem/dotgit/dotgit.go +++ b/vendor/github.com/go-git/go-git/v5/storage/filesystem/dotgit/dotgit.go @@ -943,6 +943,7 @@ func (d *DotGit) walkReferencesTree(refs *[]*plumbing.Reference, relPath []strin files, err := d.fs.ReadDir(d.fs.Join(relPath...)) if err != nil { if os.IsNotExist(err) { + // a race happened, and our directory is gone now return nil } @@ -960,6 +961,10 @@ func (d *DotGit) walkReferencesTree(refs *[]*plumbing.Reference, relPath []strin } ref, err := d.readReferenceFile(".", strings.Join(newRelPath, "/")) + if os.IsNotExist(err) { + // a race happened, and our file is gone now + continue + } if err != nil { return err } diff --git a/vendor/github.com/go-git/go-git/v5/storage/filesystem/dotgit/reader.go b/vendor/github.com/go-git/go-git/v5/storage/filesystem/dotgit/reader.go new file mode 100644 index 0000000000..975f92ac6a --- /dev/null +++ b/vendor/github.com/go-git/go-git/v5/storage/filesystem/dotgit/reader.go @@ -0,0 +1,79 @@ +package dotgit + +import ( + "fmt" + "io" + "os" + + "github.com/go-git/go-git/v5/plumbing" + "github.com/go-git/go-git/v5/plumbing/format/objfile" + "github.com/go-git/go-git/v5/utils/ioutil" +) + +var _ (plumbing.EncodedObject) = &EncodedObject{} + +type EncodedObject struct { + dir *DotGit + h plumbing.Hash + t plumbing.ObjectType + sz int64 +} + +func (e *EncodedObject) Hash() plumbing.Hash { + return e.h +} + +func (e *EncodedObject) Reader() (io.ReadCloser, error) { + f, err := e.dir.Object(e.h) + if err != nil { + if os.IsNotExist(err) { + return nil, plumbing.ErrObjectNotFound + } + + return nil, err + } + r, err := objfile.NewReader(f) + if err != nil { + return nil, err + } + + t, size, err := r.Header() + if err != nil { + _ = r.Close() + return nil, err + } + if t != e.t { + _ = r.Close() + return nil, objfile.ErrHeader + } + if size != e.sz { + _ = r.Close() + return nil, objfile.ErrHeader + } + return ioutil.NewReadCloserWithCloser(r, f.Close), nil +} + +func (e *EncodedObject) SetType(plumbing.ObjectType) {} + +func (e *EncodedObject) Type() plumbing.ObjectType { + return e.t +} + +func (e *EncodedObject) Size() int64 { + return e.sz +} + +func (e *EncodedObject) SetSize(int64) {} + +func (e *EncodedObject) Writer() (io.WriteCloser, error) { + return nil, fmt.Errorf("not supported") +} + +func NewEncodedObject(dir *DotGit, h plumbing.Hash, t plumbing.ObjectType, size int64) *EncodedObject { + return &EncodedObject{ + dir: dir, + h: h, + t: t, + sz: size, + } +} diff --git a/vendor/github.com/go-git/go-git/v5/storage/filesystem/object.go b/vendor/github.com/go-git/go-git/v5/storage/filesystem/object.go index 0c25dad613..21667fa5a8 100644 --- a/vendor/github.com/go-git/go-git/v5/storage/filesystem/object.go +++ b/vendor/github.com/go-git/go-git/v5/storage/filesystem/object.go @@ -4,6 +4,7 @@ import ( "bytes" "io" "os" + "sync" "time" "github.com/go-git/go-git/v5/plumbing" @@ -204,9 +205,9 @@ func (s *ObjectStorage) packfile(idx idxfile.Index, pack plumbing.Hash) (*packfi var p *packfile.Packfile if s.objectCache != nil { - p = packfile.NewPackfileWithCache(idx, s.dir.Fs(), f, s.objectCache) + p = packfile.NewPackfileWithCache(idx, s.dir.Fs(), f, s.objectCache, s.options.LargeObjectThreshold) } else { - p = packfile.NewPackfile(idx, s.dir.Fs(), f) + p = packfile.NewPackfile(idx, s.dir.Fs(), f, s.options.LargeObjectThreshold) } return p, s.storePackfileInCache(pack, p) @@ -389,7 +390,6 @@ func (s *ObjectStorage) getFromUnpacked(h plumbing.Hash) (obj plumbing.EncodedOb return cacheObj, nil } - obj = s.NewEncodedObject() r, err := objfile.NewReader(f) if err != nil { return nil, err @@ -402,6 +402,13 @@ func (s *ObjectStorage) getFromUnpacked(h plumbing.Hash) (obj plumbing.EncodedOb return nil, err } + if s.options.LargeObjectThreshold > 0 && size > s.options.LargeObjectThreshold { + obj = dotgit.NewEncodedObject(s.dir, h, t, size) + return obj, nil + } + + obj = s.NewEncodedObject() + obj.SetType(t) obj.SetSize(size) w, err := obj.Writer() @@ -413,10 +420,21 @@ func (s *ObjectStorage) getFromUnpacked(h plumbing.Hash) (obj plumbing.EncodedOb s.objectCache.Put(obj) - _, err = io.Copy(w, r) + bufp := copyBufferPool.Get().(*[]byte) + buf := *bufp + _, err = io.CopyBuffer(w, r, buf) + copyBufferPool.Put(bufp) + return obj, err } +var copyBufferPool = sync.Pool{ + New: func() interface{} { + b := make([]byte, 32*1024) + return &b + }, +} + // Get returns the object with the given hash, by searching for it in // the packfile. func (s *ObjectStorage) getFromPackfile(h plumbing.Hash, canBeDelta bool) ( @@ -595,6 +613,7 @@ func (s *ObjectStorage) buildPackfileIters( return newPackfileIter( s.dir.Fs(), pack, t, seen, s.index[h], s.objectCache, s.options.KeepDescriptors, + s.options.LargeObjectThreshold, ) }, }, nil @@ -684,6 +703,7 @@ func NewPackfileIter( idxFile billy.File, t plumbing.ObjectType, keepPack bool, + largeObjectThreshold int64, ) (storer.EncodedObjectIter, error) { idx := idxfile.NewMemoryIndex() if err := idxfile.NewDecoder(idxFile).Decode(idx); err != nil { @@ -695,7 +715,7 @@ func NewPackfileIter( } seen := make(map[plumbing.Hash]struct{}) - return newPackfileIter(fs, f, t, seen, idx, nil, keepPack) + return newPackfileIter(fs, f, t, seen, idx, nil, keepPack, largeObjectThreshold) } func newPackfileIter( @@ -706,12 +726,13 @@ func newPackfileIter( index idxfile.Index, cache cache.Object, keepPack bool, + largeObjectThreshold int64, ) (storer.EncodedObjectIter, error) { var p *packfile.Packfile if cache != nil { - p = packfile.NewPackfileWithCache(index, fs, f, cache) + p = packfile.NewPackfileWithCache(index, fs, f, cache, largeObjectThreshold) } else { - p = packfile.NewPackfile(index, fs, f) + p = packfile.NewPackfile(index, fs, f, largeObjectThreshold) } iter, err := p.GetByType(t) diff --git a/vendor/github.com/go-git/go-git/v5/storage/filesystem/shallow.go b/vendor/github.com/go-git/go-git/v5/storage/filesystem/shallow.go index afb600cf2d..ac48fdfbb3 100644 --- a/vendor/github.com/go-git/go-git/v5/storage/filesystem/shallow.go +++ b/vendor/github.com/go-git/go-git/v5/storage/filesystem/shallow.go @@ -34,7 +34,7 @@ func (s *ShallowStorage) SetShallow(commits []plumbing.Hash) error { return err } -// Shallow return the shallow commits reading from shallo file from .git +// Shallow returns the shallow commits reading from shallo file from .git func (s *ShallowStorage) Shallow() ([]plumbing.Hash, error) { f, err := s.dir.Shallow() if f == nil || err != nil { diff --git a/vendor/github.com/go-git/go-git/v5/storage/filesystem/storage.go b/vendor/github.com/go-git/go-git/v5/storage/filesystem/storage.go index 8b69b27b00..7e7a2c50f6 100644 --- a/vendor/github.com/go-git/go-git/v5/storage/filesystem/storage.go +++ b/vendor/github.com/go-git/go-git/v5/storage/filesystem/storage.go @@ -34,6 +34,9 @@ type Options struct { // MaxOpenDescriptors is the max number of file descriptors to keep // open. If KeepDescriptors is true, all file descriptors will remain open. MaxOpenDescriptors int + // LargeObjectThreshold maximum object size (in bytes) that will be read in to memory. + // If left unset or set to 0 there is no limit + LargeObjectThreshold int64 } // NewStorage returns a new Storage backed by a given `fs.Filesystem` and cache. diff --git a/vendor/github.com/go-git/go-git/v5/storage/memory/storage.go b/vendor/github.com/go-git/go-git/v5/storage/memory/storage.go index a8e56697b9..ef6a44551a 100644 --- a/vendor/github.com/go-git/go-git/v5/storage/memory/storage.go +++ b/vendor/github.com/go-git/go-git/v5/storage/memory/storage.go @@ -193,7 +193,7 @@ func (o *ObjectStorage) DeleteOldObjectPackAndIndex(plumbing.Hash, time.Time) er return nil } -var errNotSupported = fmt.Errorf("Not supported") +var errNotSupported = fmt.Errorf("not supported") func (o *ObjectStorage) LooseObjectTime(hash plumbing.Hash) (time.Time, error) { return time.Time{}, errNotSupported diff --git a/vendor/github.com/go-git/go-git/v5/utils/ioutil/common.go b/vendor/github.com/go-git/go-git/v5/utils/ioutil/common.go index b52e85a380..b0ace4e628 100644 --- a/vendor/github.com/go-git/go-git/v5/utils/ioutil/common.go +++ b/vendor/github.com/go-git/go-git/v5/utils/ioutil/common.go @@ -55,6 +55,28 @@ func NewReadCloser(r io.Reader, c io.Closer) io.ReadCloser { return &readCloser{Reader: r, closer: c} } +type readCloserCloser struct { + io.ReadCloser + closer func() error +} + +func (r *readCloserCloser) Close() (err error) { + defer func() { + if err == nil { + err = r.closer() + return + } + _ = r.closer() + }() + return r.ReadCloser.Close() +} + +// NewReadCloserWithCloser creates an `io.ReadCloser` with the given `io.ReaderCloser` and +// `io.Closer` that ensures that the closer is closed on close +func NewReadCloserWithCloser(r io.ReadCloser, c func() error) io.ReadCloser { + return &readCloserCloser{ReadCloser: r, closer: c} +} + type writeCloser struct { io.Writer closer io.Closer @@ -82,6 +104,24 @@ func WriteNopCloser(w io.Writer) io.WriteCloser { return writeNopCloser{w} } +type readerAtAsReader struct { + io.ReaderAt + offset int64 +} + +func (r *readerAtAsReader) Read(bs []byte) (int, error) { + n, err := r.ReaderAt.ReadAt(bs, r.offset) + r.offset += int64(n) + return n, err +} + +func NewReaderUsingReaderAt(r io.ReaderAt, offset int64) io.Reader { + return &readerAtAsReader{ + ReaderAt: r, + offset: offset, + } +} + // CheckClose calls Close on the given io.Closer. If the given *error points to // nil, it will be assigned the error returned by Close. Otherwise, any error // returned by Close will be ignored. CheckClose is usually called with defer. diff --git a/vendor/github.com/go-git/go-git/v5/utils/merkletrie/difftree.go b/vendor/github.com/go-git/go-git/v5/utils/merkletrie/difftree.go index bd084b2ab0..9f5145a267 100644 --- a/vendor/github.com/go-git/go-git/v5/utils/merkletrie/difftree.go +++ b/vendor/github.com/go-git/go-git/v5/utils/merkletrie/difftree.go @@ -304,13 +304,38 @@ func DiffTreeContext(ctx context.Context, fromTree, toTree noder.Noder, return nil, err } case onlyToRemains: - if err = ret.AddRecursiveInsert(to); err != nil { - return nil, err + if to.Skip() { + if err = ret.AddRecursiveDelete(to); err != nil { + return nil, err + } + } else { + if err = ret.AddRecursiveInsert(to); err != nil { + return nil, err + } } if err = ii.nextTo(); err != nil { return nil, err } case bothHaveNodes: + if from.Skip() { + if err = ret.AddRecursiveDelete(from); err != nil { + return nil, err + } + if err := ii.nextBoth(); err != nil { + return nil, err + } + break + } + if to.Skip() { + if err = ret.AddRecursiveDelete(to); err != nil { + return nil, err + } + if err := ii.nextBoth(); err != nil { + return nil, err + } + break + } + if err = diffNodes(&ret, ii); err != nil { return nil, err } diff --git a/vendor/github.com/go-git/go-git/v5/utils/merkletrie/filesystem/node.go b/vendor/github.com/go-git/go-git/v5/utils/merkletrie/filesystem/node.go index 2fc3d7a638..ad169ff4ae 100644 --- a/vendor/github.com/go-git/go-git/v5/utils/merkletrie/filesystem/node.go +++ b/vendor/github.com/go-git/go-git/v5/utils/merkletrie/filesystem/node.go @@ -61,6 +61,10 @@ func (n *node) IsDir() bool { return n.isDir } +func (n *node) Skip() bool { + return false +} + func (n *node) Children() ([]noder.Noder, error) { if err := n.calculateChildren(); err != nil { return nil, err diff --git a/vendor/github.com/go-git/go-git/v5/utils/merkletrie/index/node.go b/vendor/github.com/go-git/go-git/v5/utils/merkletrie/index/node.go index d05b0c694d..c1809f7ecd 100644 --- a/vendor/github.com/go-git/go-git/v5/utils/merkletrie/index/node.go +++ b/vendor/github.com/go-git/go-git/v5/utils/merkletrie/index/node.go @@ -19,6 +19,7 @@ type node struct { entry *index.Entry children []noder.Noder isDir bool + skip bool } // NewRootNode returns the root node of a computed tree from a index.Index, @@ -39,7 +40,7 @@ func NewRootNode(idx *index.Index) noder.Noder { continue } - n := &node{path: fullpath} + n := &node{path: fullpath, skip: e.SkipWorktree} if fullpath == e.Name { n.entry = e } else { @@ -58,6 +59,10 @@ func (n *node) String() string { return n.path } +func (n *node) Skip() bool { + return n.skip +} + // Hash the hash of a filesystem is a 24-byte slice, is the result of // concatenating the computed plumbing.Hash of the file as a Blob and its // plumbing.FileMode; that way the difftree algorithm will detect changes in the diff --git a/vendor/github.com/go-git/go-git/v5/utils/merkletrie/noder/noder.go b/vendor/github.com/go-git/go-git/v5/utils/merkletrie/noder/noder.go index d6b3de4ada..6d22b8c14e 100644 --- a/vendor/github.com/go-git/go-git/v5/utils/merkletrie/noder/noder.go +++ b/vendor/github.com/go-git/go-git/v5/utils/merkletrie/noder/noder.go @@ -53,6 +53,7 @@ type Noder interface { // implement NumChildren in O(1) while Children is usually more // complex. NumChildren() (int, error) + Skip() bool } // NoChildren represents the children of a noder without children. diff --git a/vendor/github.com/go-git/go-git/v5/utils/merkletrie/noder/path.go b/vendor/github.com/go-git/go-git/v5/utils/merkletrie/noder/path.go index 1c7ef54eeb..6c1d363320 100644 --- a/vendor/github.com/go-git/go-git/v5/utils/merkletrie/noder/path.go +++ b/vendor/github.com/go-git/go-git/v5/utils/merkletrie/noder/path.go @@ -15,6 +15,14 @@ import ( // not be used. type Path []Noder +func (p Path) Skip() bool { + if len(p) > 0 { + return p.Last().Skip() + } + + return false +} + // String returns the full path of the final noder as a string, using // "/" as the separator. func (p Path) String() string { diff --git a/vendor/github.com/go-git/go-git/v5/utils/sync/bufio.go b/vendor/github.com/go-git/go-git/v5/utils/sync/bufio.go new file mode 100644 index 0000000000..5009ea8047 --- /dev/null +++ b/vendor/github.com/go-git/go-git/v5/utils/sync/bufio.go @@ -0,0 +1,29 @@ +package sync + +import ( + "bufio" + "io" + "sync" +) + +var bufioReader = sync.Pool{ + New: func() interface{} { + return bufio.NewReader(nil) + }, +} + +// GetBufioReader returns a *bufio.Reader that is managed by a sync.Pool. +// Returns a bufio.Reader that is resetted with reader and ready for use. +// +// After use, the *bufio.Reader should be put back into the sync.Pool +// by calling PutBufioReader. +func GetBufioReader(reader io.Reader) *bufio.Reader { + r := bufioReader.Get().(*bufio.Reader) + r.Reset(reader) + return r +} + +// PutBufioReader puts reader back into its sync.Pool. +func PutBufioReader(reader *bufio.Reader) { + bufioReader.Put(reader) +} diff --git a/vendor/github.com/go-git/go-git/v5/utils/sync/bytes.go b/vendor/github.com/go-git/go-git/v5/utils/sync/bytes.go new file mode 100644 index 0000000000..dd06fc0bc6 --- /dev/null +++ b/vendor/github.com/go-git/go-git/v5/utils/sync/bytes.go @@ -0,0 +1,51 @@ +package sync + +import ( + "bytes" + "sync" +) + +var ( + byteSlice = sync.Pool{ + New: func() interface{} { + b := make([]byte, 16*1024) + return &b + }, + } + bytesBuffer = sync.Pool{ + New: func() interface{} { + return bytes.NewBuffer(nil) + }, + } +) + +// GetByteSlice returns a *[]byte that is managed by a sync.Pool. +// The initial slice length will be 16384 (16kb). +// +// After use, the *[]byte should be put back into the sync.Pool +// by calling PutByteSlice. +func GetByteSlice() *[]byte { + buf := byteSlice.Get().(*[]byte) + return buf +} + +// PutByteSlice puts buf back into its sync.Pool. +func PutByteSlice(buf *[]byte) { + byteSlice.Put(buf) +} + +// GetBytesBuffer returns a *bytes.Buffer that is managed by a sync.Pool. +// Returns a buffer that is resetted and ready for use. +// +// After use, the *bytes.Buffer should be put back into the sync.Pool +// by calling PutBytesBuffer. +func GetBytesBuffer() *bytes.Buffer { + buf := bytesBuffer.Get().(*bytes.Buffer) + buf.Reset() + return buf +} + +// PutBytesBuffer puts buf back into its sync.Pool. +func PutBytesBuffer(buf *bytes.Buffer) { + bytesBuffer.Put(buf) +} diff --git a/vendor/github.com/go-git/go-git/v5/utils/sync/zlib.go b/vendor/github.com/go-git/go-git/v5/utils/sync/zlib.go new file mode 100644 index 0000000000..c613885957 --- /dev/null +++ b/vendor/github.com/go-git/go-git/v5/utils/sync/zlib.go @@ -0,0 +1,74 @@ +package sync + +import ( + "bytes" + "compress/zlib" + "io" + "sync" +) + +var ( + zlibInitBytes = []byte{0x78, 0x9c, 0x01, 0x00, 0x00, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01} + zlibReader = sync.Pool{ + New: func() interface{} { + r, _ := zlib.NewReader(bytes.NewReader(zlibInitBytes)) + return ZLibReader{ + Reader: r.(zlibReadCloser), + } + }, + } + zlibWriter = sync.Pool{ + New: func() interface{} { + return zlib.NewWriter(nil) + }, + } +) + +type zlibReadCloser interface { + io.ReadCloser + zlib.Resetter +} + +type ZLibReader struct { + dict *[]byte + Reader zlibReadCloser +} + +// GetZlibReader returns a ZLibReader that is managed by a sync.Pool. +// Returns a ZLibReader that is resetted using a dictionary that is +// also managed by a sync.Pool. +// +// After use, the ZLibReader should be put back into the sync.Pool +// by calling PutZlibReader. +func GetZlibReader(r io.Reader) (ZLibReader, error) { + z := zlibReader.Get().(ZLibReader) + z.dict = GetByteSlice() + + err := z.Reader.Reset(r, *z.dict) + + return z, err +} + +// PutZlibReader puts z back into its sync.Pool, first closing the reader. +// The Byte slice dictionary is also put back into its sync.Pool. +func PutZlibReader(z ZLibReader) { + z.Reader.Close() + PutByteSlice(z.dict) + zlibReader.Put(z) +} + +// GetZlibWriter returns a *zlib.Writer that is managed by a sync.Pool. +// Returns a writer that is resetted with w and ready for use. +// +// After use, the *zlib.Writer should be put back into the sync.Pool +// by calling PutZlibWriter. +func GetZlibWriter(w io.Writer) *zlib.Writer { + z := zlibWriter.Get().(*zlib.Writer) + z.Reset(w) + return z +} + +// PutZlibWriter puts w back into its sync.Pool. +func PutZlibWriter(w *zlib.Writer) { + zlibWriter.Put(w) +} diff --git a/vendor/github.com/go-git/go-git/v5/worktree.go b/vendor/github.com/go-git/go-git/v5/worktree.go index f23d9f1703..d28ba32419 100644 --- a/vendor/github.com/go-git/go-git/v5/worktree.go +++ b/vendor/github.com/go-git/go-git/v5/worktree.go @@ -9,8 +9,9 @@ import ( "os" "path/filepath" "strings" - "sync" + "github.com/go-git/go-billy/v5" + "github.com/go-git/go-billy/v5/util" "github.com/go-git/go-git/v5/config" "github.com/go-git/go-git/v5/plumbing" "github.com/go-git/go-git/v5/plumbing/filemode" @@ -20,9 +21,7 @@ import ( "github.com/go-git/go-git/v5/plumbing/storer" "github.com/go-git/go-git/v5/utils/ioutil" "github.com/go-git/go-git/v5/utils/merkletrie" - - "github.com/go-git/go-billy/v5" - "github.com/go-git/go-billy/v5/util" + "github.com/go-git/go-git/v5/utils/sync" ) var ( @@ -73,6 +72,7 @@ func (w *Worktree) PullContext(ctx context.Context, o *PullOptions) error { fetchHead, err := remote.fetch(ctx, &FetchOptions{ RemoteName: o.RemoteName, + RemoteURL: o.RemoteURL, Depth: o.Depth, Auth: o.Auth, Progress: o.Progress, @@ -182,6 +182,10 @@ func (w *Worktree) Checkout(opts *CheckoutOptions) error { return err } + if len(opts.SparseCheckoutDirectories) > 0 { + return w.ResetSparsely(ro, opts.SparseCheckoutDirectories) + } + return w.Reset(ro) } func (w *Worktree) createBranch(opts *CheckoutOptions) error { @@ -262,8 +266,7 @@ func (w *Worktree) setHEADToBranch(branch plumbing.ReferenceName, commit plumbin return w.r.Storer.SetReference(head) } -// Reset the worktree to a specified state. -func (w *Worktree) Reset(opts *ResetOptions) error { +func (w *Worktree) ResetSparsely(opts *ResetOptions, dirs []string) error { if err := opts.Validate(w.r); err != nil { return err } @@ -293,7 +296,7 @@ func (w *Worktree) Reset(opts *ResetOptions) error { } if opts.Mode == MixedReset || opts.Mode == MergeReset || opts.Mode == HardReset { - if err := w.resetIndex(t); err != nil { + if err := w.resetIndex(t, dirs); err != nil { return err } } @@ -307,8 +310,17 @@ func (w *Worktree) Reset(opts *ResetOptions) error { return nil } -func (w *Worktree) resetIndex(t *object.Tree) error { +// Reset the worktree to a specified state. +func (w *Worktree) Reset(opts *ResetOptions) error { + return w.ResetSparsely(opts, nil) +} + +func (w *Worktree) resetIndex(t *object.Tree, dirs []string) error { idx, err := w.r.Storer.Index() + if len(dirs) > 0 { + idx.SkipUnless(dirs) + } + if err != nil { return err } @@ -398,7 +410,7 @@ func (w *Worktree) checkoutChange(ch merkletrie.Change, t *object.Tree, idx *ind isSubmodule = e.Mode == filemode.Submodule case merkletrie.Delete: - return rmFileAndDirIfEmpty(w.Filesystem, ch.From.String()) + return rmFileAndDirsIfEmpty(w.Filesystem, ch.From.String()) } if isSubmodule { @@ -520,12 +532,6 @@ func (w *Worktree) checkoutChangeRegularFile(name string, return nil } -var copyBufferPool = sync.Pool{ - New: func() interface{} { - return make([]byte, 32*1024) - }, -} - func (w *Worktree) checkoutFile(f *object.File) (err error) { mode, err := f.Mode.ToOSFileMode() if err != nil { @@ -549,9 +555,9 @@ func (w *Worktree) checkoutFile(f *object.File) (err error) { } defer ioutil.CheckClose(to, &err) - buf := copyBufferPool.Get().([]byte) - _, err = io.CopyBuffer(to, from, buf) - copyBufferPool.Put(buf) + buf := sync.GetByteSlice() + _, err = io.CopyBuffer(to, from, *buf) + sync.PutByteSlice(buf) return } @@ -772,8 +778,10 @@ func (w *Worktree) doClean(status Status, opts *CleanOptions, dir string, files } if opts.Dir && dir != "" { - return doCleanDirectories(w.Filesystem, dir) + _, err := removeDirIfEmpty(w.Filesystem, dir) + return err } + return nil } @@ -914,25 +922,52 @@ func findMatchInFile(file *object.File, treeName string, opts *GrepOptions) ([]G return grepResults, nil } -func rmFileAndDirIfEmpty(fs billy.Filesystem, name string) error { +// will walk up the directory tree removing all encountered empty +// directories, not just the one containing this file +func rmFileAndDirsIfEmpty(fs billy.Filesystem, name string) error { if err := util.RemoveAll(fs, name); err != nil { return err } dir := filepath.Dir(name) - return doCleanDirectories(fs, dir) + for { + removed, err := removeDirIfEmpty(fs, dir) + if err != nil { + return err + } + + if !removed { + // directory was not empty and not removed, + // stop checking parents + break + } + + // move to parent directory + dir = filepath.Dir(dir) + } + + return nil } -// doCleanDirectories removes empty subdirs (without files) -func doCleanDirectories(fs billy.Filesystem, dir string) error { +// removeDirIfEmpty will remove the supplied directory `dir` if +// `dir` is empty +// returns true if the directory was removed +func removeDirIfEmpty(fs billy.Filesystem, dir string) (bool, error) { files, err := fs.ReadDir(dir) if err != nil { - return err + return false, err } - if len(files) == 0 { - return fs.Remove(dir) + + if len(files) > 0 { + return false, nil } - return nil + + err = fs.Remove(dir) + if err != nil { + return false, err + } + + return true, nil } type indexBuilder struct { diff --git a/vendor/github.com/go-git/go-git/v5/worktree_bsd.go b/vendor/github.com/go-git/go-git/v5/worktree_bsd.go index d4ea327588..d4682eb83b 100644 --- a/vendor/github.com/go-git/go-git/v5/worktree_bsd.go +++ b/vendor/github.com/go-git/go-git/v5/worktree_bsd.go @@ -12,7 +12,7 @@ import ( func init() { fillSystemInfo = func(e *index.Entry, sys interface{}) { if os, ok := sys.(*syscall.Stat_t); ok { - e.CreatedAt = time.Unix(int64(os.Atimespec.Sec), int64(os.Atimespec.Nsec)) + e.CreatedAt = time.Unix(os.Atimespec.Unix()) e.Dev = uint32(os.Dev) e.Inode = uint32(os.Ino) e.GID = os.Gid diff --git a/vendor/github.com/go-git/go-git/v5/worktree_commit.go b/vendor/github.com/go-git/go-git/v5/worktree_commit.go index dc7956909e..e9277217aa 100644 --- a/vendor/github.com/go-git/go-git/v5/worktree_commit.go +++ b/vendor/github.com/go-git/go-git/v5/worktree_commit.go @@ -2,6 +2,7 @@ package git import ( "bytes" + "errors" "path" "sort" "strings" @@ -16,6 +17,12 @@ import ( "github.com/go-git/go-billy/v5" ) +var ( + // ErrEmptyCommit occurs when a commit is attempted using a clean + // working tree, with no changes to be committed. + ErrEmptyCommit = errors.New("cannot create empty commit: clean working tree") +) + // Commit stores the current contents of the index in a new commit along with // a log message from the user describing the changes. func (w *Worktree) Commit(msg string, opts *CommitOptions) (plumbing.Hash, error) { @@ -39,7 +46,7 @@ func (w *Worktree) Commit(msg string, opts *CommitOptions) (plumbing.Hash, error s: w.r.Storer, } - tree, err := h.BuildTree(idx) + tree, err := h.BuildTree(idx, opts) if err != nil { return plumbing.ZeroHash, err } @@ -145,7 +152,11 @@ type buildTreeHelper struct { // BuildTree builds the tree objects and push its to the storer, the hash // of the root tree is returned. -func (h *buildTreeHelper) BuildTree(idx *index.Index) (plumbing.Hash, error) { +func (h *buildTreeHelper) BuildTree(idx *index.Index, opts *CommitOptions) (plumbing.Hash, error) { + if len(idx.Entries) == 0 && (opts == nil || !opts.AllowEmptyCommits) { + return plumbing.ZeroHash, ErrEmptyCommit + } + const rootNode = "" h.trees = map[string]*object.Tree{rootNode: {}} h.entries = map[string]*object.TreeEntry{} diff --git a/vendor/github.com/go-git/go-git/v5/worktree_linux.go b/vendor/github.com/go-git/go-git/v5/worktree_linux.go index cf0db25242..6fcace2f93 100644 --- a/vendor/github.com/go-git/go-git/v5/worktree_linux.go +++ b/vendor/github.com/go-git/go-git/v5/worktree_linux.go @@ -12,7 +12,7 @@ import ( func init() { fillSystemInfo = func(e *index.Entry, sys interface{}) { if os, ok := sys.(*syscall.Stat_t); ok { - e.CreatedAt = time.Unix(int64(os.Ctim.Sec), int64(os.Ctim.Nsec)) + e.CreatedAt = time.Unix(os.Ctim.Unix()) e.Dev = uint32(os.Dev) e.Inode = uint32(os.Ino) e.GID = os.Gid diff --git a/vendor/github.com/go-git/go-git/v5/worktree_status.go b/vendor/github.com/go-git/go-git/v5/worktree_status.go index c639f13208..f3091cff60 100644 --- a/vendor/github.com/go-git/go-git/v5/worktree_status.go +++ b/vendor/github.com/go-git/go-git/v5/worktree_status.go @@ -270,10 +270,6 @@ func (w *Worktree) Add(path string) (plumbing.Hash, error) { } func (w *Worktree) doAddDirectory(idx *index.Index, s Status, directory string, ignorePattern []gitignore.Pattern) (added bool, err error) { - files, err := w.Filesystem.ReadDir(directory) - if err != nil { - return false, err - } if len(ignorePattern) > 0 { m := gitignore.NewMatcher(ignorePattern) matchPath := strings.Split(directory, string(os.PathSeparator)) @@ -283,20 +279,13 @@ func (w *Worktree) doAddDirectory(idx *index.Index, s Status, directory string, } } - for _, file := range files { - name := path.Join(directory, file.Name()) - - var a bool - if file.IsDir() { - if file.Name() == GitDirName { - // ignore special git directory - continue - } - a, err = w.doAddDirectory(idx, s, name, ignorePattern) - } else { - a, _, err = w.doAddFile(idx, s, name, ignorePattern) + for name := range s { + if !isPathInDirectory(name, filepath.ToSlash(filepath.Clean(directory))) { + continue } + var a bool + a, _, err = w.doAddFile(idx, s, name, ignorePattern) if err != nil { return } @@ -309,6 +298,26 @@ func (w *Worktree) doAddDirectory(idx *index.Index, s Status, directory string, return } +func isPathInDirectory(path, directory string) bool { + ps := strings.Split(path, "/") + ds := strings.Split(directory, "/") + + if len(ds) == 1 && ds[0] == "." { + return true + } + + if len(ps) < len(ds) { + return false + } + + for i := 0; i < len(ds); i++ { + if ps[i] != ds[i] { + return false + } + } + return true +} + // AddWithOptions file contents to the index, updates the index using the // current content found in the working tree, to prepare the content staged for // the next commit. diff --git a/vendor/github.com/go-git/go-git/v5/worktree_unix_other.go b/vendor/github.com/go-git/go-git/v5/worktree_unix_other.go index f45966be96..5b16e70b70 100644 --- a/vendor/github.com/go-git/go-git/v5/worktree_unix_other.go +++ b/vendor/github.com/go-git/go-git/v5/worktree_unix_other.go @@ -12,7 +12,7 @@ import ( func init() { fillSystemInfo = func(e *index.Entry, sys interface{}) { if os, ok := sys.(*syscall.Stat_t); ok { - e.CreatedAt = time.Unix(int64(os.Atim.Sec), int64(os.Atim.Nsec)) + e.CreatedAt = time.Unix(os.Atim.Unix()) e.Dev = uint32(os.Dev) e.Inode = uint32(os.Ino) e.GID = os.Gid diff --git a/vendor/github.com/kevinburke/ssh_config/AUTHORS.txt b/vendor/github.com/kevinburke/ssh_config/AUTHORS.txt index 9dc410104b..311aeb1b4f 100644 --- a/vendor/github.com/kevinburke/ssh_config/AUTHORS.txt +++ b/vendor/github.com/kevinburke/ssh_config/AUTHORS.txt @@ -1,6 +1,9 @@ +Carlos A Becker +Dustin Spicuzza Eugene Terentev Kevin Burke Mark Nevill +Scott Lessans Sergey Lukjanov Wayne Ashley Berry santosh653 <70637961+santosh653@users.noreply.github.com> diff --git a/vendor/github.com/kevinburke/ssh_config/CHANGELOG.md b/vendor/github.com/kevinburke/ssh_config/CHANGELOG.md new file mode 100644 index 0000000000..d32a3f5106 --- /dev/null +++ b/vendor/github.com/kevinburke/ssh_config/CHANGELOG.md @@ -0,0 +1,19 @@ +# Changes + +## Version 1.2 + +Previously, if a Host declaration or a value had trailing whitespace, that +whitespace would have been included as part of the value. This led to unexpected +consequences. For example: + +``` +Host example # A comment + HostName example.com # Another comment +``` + +Prior to version 1.2, the value for Host would have been "example " and the +value for HostName would have been "example.com ". Both of these are +unintuitive. + +Instead, we strip the trailing whitespace in the configuration, which leads to +more intuitive behavior. diff --git a/vendor/github.com/kevinburke/ssh_config/Makefile b/vendor/github.com/kevinburke/ssh_config/Makefile index a1880d18e1..df7ee728be 100644 --- a/vendor/github.com/kevinburke/ssh_config/Makefile +++ b/vendor/github.com/kevinburke/ssh_config/Makefile @@ -19,8 +19,11 @@ race-test: lint $(BUMP_VERSION): go get -u github.com/kevinburke/bump_version +$(WRITE_MAILMAP): + go get -u github.com/kevinburke/write_mailmap + release: test | $(BUMP_VERSION) - $(BUMP_VERSION) minor config.go + $(BUMP_VERSION) --tag-prefix=v minor config.go force: ; diff --git a/vendor/github.com/kevinburke/ssh_config/README.md b/vendor/github.com/kevinburke/ssh_config/README.md index d1adfed7c6..f14b2168f7 100644 --- a/vendor/github.com/kevinburke/ssh_config/README.md +++ b/vendor/github.com/kevinburke/ssh_config/README.md @@ -84,6 +84,9 @@ file format. ## Donating -Donations free up time to make improvements to the library, and respond to -bug reports. You can send donations via Paypal's "Send Money" feature to -kev@inburke.com. Donations are not tax deductible in the USA. +I don't get paid to maintain this project. Donations free up time to make +improvements to the library, and respond to bug reports. You can send donations +via Paypal's "Send Money" feature to kev@inburke.com. Donations are not tax +deductible in the USA. + +You can also reach out about a consulting engagement: https://burke.services diff --git a/vendor/github.com/kevinburke/ssh_config/config.go b/vendor/github.com/kevinburke/ssh_config/config.go index 7c2c8b679c..00d815c1a9 100644 --- a/vendor/github.com/kevinburke/ssh_config/config.go +++ b/vendor/github.com/kevinburke/ssh_config/config.go @@ -34,7 +34,6 @@ import ( "errors" "fmt" "io" - "io/ioutil" "os" osuser "os/user" "path/filepath" @@ -44,7 +43,7 @@ import ( "sync" ) -const version = "1.0" +const version = "1.2" var _ = version @@ -279,7 +278,7 @@ func parseFile(filename string) (*Config, error) { } func parseWithDepth(filename string, depth uint8) (*Config, error) { - b, err := ioutil.ReadFile(filename) + b, err := os.ReadFile(filename) if err != nil { return nil, err } @@ -294,13 +293,19 @@ func isSystem(filename string) bool { // Decode reads r into a Config, or returns an error if r could not be parsed as // an SSH config file. func Decode(r io.Reader) (*Config, error) { - b, err := ioutil.ReadAll(r) + b, err := io.ReadAll(r) if err != nil { return nil, err } return decodeBytes(b, false, 0) } +// DecodeBytes reads b into a Config, or returns an error if r could not be +// parsed as an SSH config file. +func DecodeBytes(b []byte) (*Config, error) { + return decodeBytes(b, false, 0) +} + func decodeBytes(b []byte, system bool, depth uint8) (c *Config, err error) { defer func() { if r := recover(); r != nil { @@ -493,7 +498,10 @@ type Host struct { // A Node is either a key/value pair or a comment line. Nodes []Node // EOLComment is the comment (if any) terminating the Host line. - EOLComment string + EOLComment string + // Whitespace if any between the Host declaration and a trailing comment. + spaceBeforeComment string + hasEquals bool leadingSpace int // TODO: handle spaces vs tabs here. // The file starts with an implicit "Host *" declaration. @@ -525,7 +533,7 @@ func (h *Host) Matches(alias string) bool { // String prints h as it would appear in a config file. Minor tweaks may be // present in the whitespace in the printed file. func (h *Host) String() string { - var buf bytes.Buffer + var buf strings.Builder //lint:ignore S1002 I prefer to write it this way if h.implicit == false { buf.WriteString(strings.Repeat(" ", int(h.leadingSpace))) @@ -541,8 +549,9 @@ func (h *Host) String() string { buf.WriteString(" ") } } + buf.WriteString(h.spaceBeforeComment) if h.EOLComment != "" { - buf.WriteString(" #") + buf.WriteByte('#') buf.WriteString(h.EOLComment) } buf.WriteByte('\n') @@ -563,12 +572,14 @@ type Node interface { // KV is a line in the config file that contains a key, a value, and possibly // a comment. type KV struct { - Key string - Value string - Comment string - hasEquals bool - leadingSpace int // Space before the key. TODO handle spaces vs tabs. - position Position + Key string + Value string + // Whitespace after the value but before any comment + spaceAfterValue string + Comment string + hasEquals bool + leadingSpace int // Space before the key. TODO handle spaces vs tabs. + position Position } // Pos returns k's Position. @@ -576,8 +587,7 @@ func (k *KV) Pos() Position { return k.position } -// String prints k as it was parsed in the config file. There may be slight -// changes to the whitespace between values. +// String prints k as it was parsed in the config file. func (k *KV) String() string { if k == nil { return "" @@ -586,9 +596,9 @@ func (k *KV) String() string { if k.hasEquals { equals = " = " } - line := fmt.Sprintf("%s%s%s%s", strings.Repeat(" ", int(k.leadingSpace)), k.Key, equals, k.Value) + line := strings.Repeat(" ", int(k.leadingSpace)) + k.Key + equals + k.Value + k.spaceAfterValue if k.Comment != "" { - line += " #" + k.Comment + line += "#" + k.Comment } return line } diff --git a/vendor/github.com/kevinburke/ssh_config/parser.go b/vendor/github.com/kevinburke/ssh_config/parser.go index 36c42055f5..2b1e718cb3 100644 --- a/vendor/github.com/kevinburke/ssh_config/parser.go +++ b/vendor/github.com/kevinburke/ssh_config/parser.go @@ -3,6 +3,7 @@ package ssh_config import ( "fmt" "strings" + "unicode" ) type sshParser struct { @@ -122,11 +123,16 @@ func (p *sshParser) parseKV() sshParserStateFn { } patterns = append(patterns, pat) } + // val.val at this point could be e.g. "example.com " + hostval := strings.TrimRightFunc(val.val, unicode.IsSpace) + spaceBeforeComment := val.val[len(hostval):] + val.val = hostval p.config.Hosts = append(p.config.Hosts, &Host{ - Patterns: patterns, - Nodes: make([]Node, 0), - EOLComment: comment, - hasEquals: hasEquals, + Patterns: patterns, + Nodes: make([]Node, 0), + EOLComment: comment, + spaceBeforeComment: spaceBeforeComment, + hasEquals: hasEquals, }) return p.parseStart } @@ -144,13 +150,16 @@ func (p *sshParser) parseKV() sshParserStateFn { lastHost.Nodes = append(lastHost.Nodes, inc) return p.parseStart } + shortval := strings.TrimRightFunc(val.val, unicode.IsSpace) + spaceAfterValue := val.val[len(shortval):] kv := &KV{ - Key: key.val, - Value: val.val, - Comment: comment, - hasEquals: hasEquals, - leadingSpace: key.Position.Col - 1, - position: key.Position, + Key: key.val, + Value: shortval, + spaceAfterValue: spaceAfterValue, + Comment: comment, + hasEquals: hasEquals, + leadingSpace: key.Position.Col - 1, + position: key.Position, } lastHost.Nodes = append(lastHost.Nodes, kv) return p.parseStart diff --git a/vendor/github.com/pjbgf/sha1cd/Dockerfile.arm b/vendor/github.com/pjbgf/sha1cd/Dockerfile.arm new file mode 100644 index 0000000000..99761296fb --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/Dockerfile.arm @@ -0,0 +1,23 @@ +FROM golang:1.20@sha256:2edf6aab2d57644f3fe7407132a0d1770846867465a39c2083770cf62734b05d + +ENV GOOS=linux +ENV GOARCH=arm +ENV CGO_ENABLED=1 +ENV CC=arm-linux-gnueabihf-gcc +ENV PATH="/go/bin/${GOOS}_${GOARCH}:${PATH}" +ENV PKG_CONFIG_PATH=/usr/lib/arm-linux-gnueabihf/pkgconfig + +RUN dpkg --add-architecture armhf \ + && apt update \ + && apt install -y --no-install-recommends \ + upx \ + gcc-arm-linux-gnueabihf \ + libc6-dev-armhf-cross \ + pkg-config \ + && rm -rf /var/lib/apt/lists/* + +COPY . /src/workdir + +WORKDIR /src/workdir + +RUN go build ./... diff --git a/vendor/github.com/pjbgf/sha1cd/Dockerfile.arm64 b/vendor/github.com/pjbgf/sha1cd/Dockerfile.arm64 new file mode 100644 index 0000000000..66bd09474f --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/Dockerfile.arm64 @@ -0,0 +1,23 @@ +FROM golang:1.20@sha256:2edf6aab2d57644f3fe7407132a0d1770846867465a39c2083770cf62734b05d + +ENV GOOS=linux +ENV GOARCH=arm64 +ENV CGO_ENABLED=1 +ENV CC=aarch64-linux-gnu-gcc +ENV PATH="/go/bin/${GOOS}_${GOARCH}:${PATH}" +ENV PKG_CONFIG_PATH=/usr/lib/aarch64-linux-gnu/pkgconfig + +# install build & runtime dependencies +RUN dpkg --add-architecture arm64 \ + && apt update \ + && apt install -y --no-install-recommends \ + gcc-aarch64-linux-gnu \ + libc6-dev-arm64-cross \ + pkg-config \ + && rm -rf /var/lib/apt/lists/* + +COPY . /src/workdir + +WORKDIR /src/workdir + +RUN go build ./... diff --git a/vendor/github.com/pjbgf/sha1cd/LICENSE b/vendor/github.com/pjbgf/sha1cd/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/vendor/github.com/pjbgf/sha1cd/Makefile b/vendor/github.com/pjbgf/sha1cd/Makefile new file mode 100644 index 0000000000..b24f2cbad6 --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/Makefile @@ -0,0 +1,40 @@ +FUZZ_TIME ?= 1m + +export CGO_ENABLED := 1 + +.PHONY: test +test: + go test ./... + +.PHONY: bench +bench: + go test -benchmem -run=^$$ -bench ^Benchmark ./... + +.PHONY: fuzz +fuzz: + go test -tags gofuzz -fuzz=. -fuzztime=$(FUZZ_TIME) ./test/ + +# Cross build project in arm/v7. +build-arm: + docker build -t sha1cd-arm -f Dockerfile.arm . + docker run --rm sha1cd-arm + +# Cross build project in arm64. +build-arm64: + docker build -t sha1cd-arm64 -f Dockerfile.arm64 . + docker run --rm sha1cd-arm64 + +# Build with cgo disabled. +build-nocgo: + CGO_ENABLED=0 go build ./cgo + +# Run cross-compilation to assure supported architectures. +cross-build: build-arm build-arm64 build-nocgo + +generate: + go run sha1cdblock_amd64_asm.go -out sha1cdblock_amd64.s + sed -i 's;&\samd64;&\n// +build !noasm,gc,amd64;g' sha1cdblock_amd64.s + +verify: generate + git diff --exit-code + go vet ./... diff --git a/vendor/github.com/pjbgf/sha1cd/README.md b/vendor/github.com/pjbgf/sha1cd/README.md new file mode 100644 index 0000000000..378cf78cf7 --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/README.md @@ -0,0 +1,58 @@ +# sha1cd + +A Go implementation of SHA1 with counter-cryptanalysis, which detects +collision attacks. + +The `cgo/lib` code is a carbon copy of the [original code], based on +the award winning [white paper] by Marc Stevens. + +The Go implementation is largely based off Go's generic sha1. +At present no SIMD optimisations have been implemented. + +## Usage + +`sha1cd` can be used as a drop-in replacement for `crypto/sha1`: + +```golang +import "github.com/pjbgf/sha1cd" + +func test(){ + data := []byte("data to be sha1 hashed") + h := sha1cd.Sum(data) + fmt.Printf("hash: %q\n", hex.EncodeToString(h)) +} +``` + +To obtain information as to whether a collision was found, use the +func `CollisionResistantSum`. + +```golang +import "github.com/pjbgf/sha1cd" + +func test(){ + data := []byte("data to be sha1 hashed") + h, col := sha1cd.CollisionResistantSum(data) + if col { + fmt.Println("collision found!") + } + fmt.Printf("hash: %q", hex.EncodeToString(h)) +} +``` + +Note that the algorithm will automatically avoid collision, by +extending the SHA1 to 240-steps, instead of 80 when a collision +attempt is detected. Therefore, inputs that contains the unavoidable +bit conditions will yield a different hash from `sha1cd`, when compared +with results using `crypto/sha1`. Valid inputs will have matching the outputs. + +## References +- https://shattered.io/ +- https://github.com/cr-marcstevens/sha1collisiondetection +- https://csrc.nist.gov/Projects/Cryptographic-Algorithm-Validation-Program/Secure-Hashing#shavs + +## Use of the Original Implementation +- https://github.com/git/git/commit/28dc98e343ca4eb370a29ceec4c19beac9b5c01e +- https://github.com/libgit2/libgit2/pull/4136 + +[original code]: https://github.com/cr-marcstevens/sha1collisiondetection +[white paper]: https://marc-stevens.nl/research/papers/C13-S.pdf diff --git a/vendor/github.com/pjbgf/sha1cd/detection.go b/vendor/github.com/pjbgf/sha1cd/detection.go new file mode 100644 index 0000000000..a1458748c7 --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/detection.go @@ -0,0 +1,11 @@ +package sha1cd + +import "hash" + +type CollisionResistantHash interface { + // CollisionResistantSum extends on Sum by returning an additional boolean + // which indicates whether a collision was found during the hashing process. + CollisionResistantSum(b []byte) ([]byte, bool) + + hash.Hash +} diff --git a/vendor/github.com/pjbgf/sha1cd/internal/const.go b/vendor/github.com/pjbgf/sha1cd/internal/const.go new file mode 100644 index 0000000000..944a131d39 --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/internal/const.go @@ -0,0 +1,42 @@ +package shared + +const ( + // Constants for the SHA-1 hash function. + K0 = 0x5A827999 + K1 = 0x6ED9EBA1 + K2 = 0x8F1BBCDC + K3 = 0xCA62C1D6 + + // Initial values for the buffer variables: h0, h1, h2, h3, h4. + Init0 = 0x67452301 + Init1 = 0xEFCDAB89 + Init2 = 0x98BADCFE + Init3 = 0x10325476 + Init4 = 0xC3D2E1F0 + + // Initial values for the temporary variables (ihvtmp0, ihvtmp1, ihvtmp2, ihvtmp3, ihvtmp4) during the SHA recompression step. + InitTmp0 = 0xD5 + InitTmp1 = 0x394 + InitTmp2 = 0x8152A8 + InitTmp3 = 0x0 + InitTmp4 = 0xA7ECE0 + + // SHA1 contains 2 buffers, each based off 5 32-bit words. + WordBuffers = 5 + + // The output of SHA1 is 20 bytes (160 bits). + Size = 20 + + // Rounds represents the number of steps required to process each chunk. + Rounds = 80 + + // SHA1 processes the input data in chunks. Each chunk contains 64 bytes. + Chunk = 64 + + // The number of pre-step compression state to store. + // Currently there are 3 pre-step compression states required: 0, 58, 65. + PreStepState = 3 + + Magic = "shacd\x01" + MarshaledSize = len(Magic) + 5*4 + Chunk + 8 +) diff --git a/vendor/github.com/pjbgf/sha1cd/sha1cd.go b/vendor/github.com/pjbgf/sha1cd/sha1cd.go new file mode 100644 index 0000000000..a69e480ee9 --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/sha1cd.go @@ -0,0 +1,227 @@ +// Copyright 2009 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package sha1cd implements collision detection based on the whitepaper +// Counter-cryptanalysis from Marc Stevens. The original ubc implementation +// was done by Marc Stevens and Dan Shumow, and can be found at: +// https://github.com/cr-marcstevens/sha1collisiondetection +package sha1cd + +// This SHA1 implementation is based on Go's generic SHA1. +// Original: https://github.com/golang/go/blob/master/src/crypto/sha1/sha1.go + +import ( + "crypto" + "encoding/binary" + "errors" + "hash" + + shared "github.com/pjbgf/sha1cd/internal" +) + +func init() { + crypto.RegisterHash(crypto.SHA1, New) +} + +// The size of a SHA-1 checksum in bytes. +const Size = shared.Size + +// The blocksize of SHA-1 in bytes. +const BlockSize = shared.Chunk + +// digest represents the partial evaluation of a checksum. +type digest struct { + h [shared.WordBuffers]uint32 + x [shared.Chunk]byte + nx int + len uint64 + + // col defines whether a collision has been found. + col bool + blockFunc func(dig *digest, p []byte) +} + +func (d *digest) MarshalBinary() ([]byte, error) { + b := make([]byte, 0, shared.MarshaledSize) + b = append(b, shared.Magic...) + b = appendUint32(b, d.h[0]) + b = appendUint32(b, d.h[1]) + b = appendUint32(b, d.h[2]) + b = appendUint32(b, d.h[3]) + b = appendUint32(b, d.h[4]) + b = append(b, d.x[:d.nx]...) + b = b[:len(b)+len(d.x)-d.nx] // already zero + b = appendUint64(b, d.len) + return b, nil +} + +func appendUint32(b []byte, v uint32) []byte { + return append(b, + byte(v>>24), + byte(v>>16), + byte(v>>8), + byte(v), + ) +} + +func appendUint64(b []byte, v uint64) []byte { + return append(b, + byte(v>>56), + byte(v>>48), + byte(v>>40), + byte(v>>32), + byte(v>>24), + byte(v>>16), + byte(v>>8), + byte(v), + ) +} + +func (d *digest) UnmarshalBinary(b []byte) error { + if len(b) < len(shared.Magic) || string(b[:len(shared.Magic)]) != shared.Magic { + return errors.New("crypto/sha1: invalid hash state identifier") + } + if len(b) != shared.MarshaledSize { + return errors.New("crypto/sha1: invalid hash state size") + } + b = b[len(shared.Magic):] + b, d.h[0] = consumeUint32(b) + b, d.h[1] = consumeUint32(b) + b, d.h[2] = consumeUint32(b) + b, d.h[3] = consumeUint32(b) + b, d.h[4] = consumeUint32(b) + b = b[copy(d.x[:], b):] + b, d.len = consumeUint64(b) + d.nx = int(d.len % shared.Chunk) + return nil +} + +func consumeUint64(b []byte) ([]byte, uint64) { + _ = b[7] + x := uint64(b[7]) | uint64(b[6])<<8 | uint64(b[shared.WordBuffers])<<16 | uint64(b[4])<<24 | + uint64(b[3])<<32 | uint64(b[2])<<40 | uint64(b[1])<<48 | uint64(b[0])<<56 + return b[8:], x +} + +func consumeUint32(b []byte) ([]byte, uint32) { + _ = b[3] + x := uint32(b[3]) | uint32(b[2])<<8 | uint32(b[1])<<16 | uint32(b[0])<<24 + return b[4:], x +} + +func (d *digest) Reset() { + d.h[0] = shared.Init0 + d.h[1] = shared.Init1 + d.h[2] = shared.Init2 + d.h[3] = shared.Init3 + d.h[4] = shared.Init4 + d.nx = 0 + d.len = 0 + + d.col = false +} + +// New returns a new hash.Hash computing the SHA1 checksum. The Hash also +// implements encoding.BinaryMarshaler and encoding.BinaryUnmarshaler to +// marshal and unmarshal the internal state of the hash. +func New() hash.Hash { + d := new(digest) + + d.blockFunc = block + d.Reset() + return d +} + +// NewGeneric is equivalent to New but uses the Go generic implementation, +// avoiding any processor-specific optimizations. +func NewGeneric() hash.Hash { + d := new(digest) + + d.blockFunc = blockGeneric + d.Reset() + return d +} + +func (d *digest) Size() int { return Size } + +func (d *digest) BlockSize() int { return BlockSize } + +func (d *digest) Write(p []byte) (nn int, err error) { + if len(p) == 0 { + return + } + + nn = len(p) + d.len += uint64(nn) + if d.nx > 0 { + n := copy(d.x[d.nx:], p) + d.nx += n + if d.nx == shared.Chunk { + d.blockFunc(d, d.x[:]) + d.nx = 0 + } + p = p[n:] + } + if len(p) >= shared.Chunk { + n := len(p) &^ (shared.Chunk - 1) + d.blockFunc(d, p[:n]) + p = p[n:] + } + if len(p) > 0 { + d.nx = copy(d.x[:], p) + } + return +} + +func (d *digest) Sum(in []byte) []byte { + // Make a copy of d so that caller can keep writing and summing. + d0 := *d + hash := d0.checkSum() + return append(in, hash[:]...) +} + +func (d *digest) checkSum() [Size]byte { + len := d.len + // Padding. Add a 1 bit and 0 bits until 56 bytes mod 64. + var tmp [64]byte + tmp[0] = 0x80 + if len%64 < 56 { + d.Write(tmp[0 : 56-len%64]) + } else { + d.Write(tmp[0 : 64+56-len%64]) + } + + // Length in bits. + len <<= 3 + binary.BigEndian.PutUint64(tmp[:], len) + d.Write(tmp[0:8]) + + if d.nx != 0 { + panic("d.nx != 0") + } + + var digest [Size]byte + + binary.BigEndian.PutUint32(digest[0:], d.h[0]) + binary.BigEndian.PutUint32(digest[4:], d.h[1]) + binary.BigEndian.PutUint32(digest[8:], d.h[2]) + binary.BigEndian.PutUint32(digest[12:], d.h[3]) + binary.BigEndian.PutUint32(digest[16:], d.h[4]) + + return digest +} + +// Sum returns the SHA-1 checksum of the data. +func Sum(data []byte) ([Size]byte, bool) { + d := New().(*digest) + d.Write(data) + return d.checkSum(), d.col +} + +func (d *digest) CollisionResistantSum(in []byte) ([]byte, bool) { + // Make a copy of d so that caller can keep writing and summing. + d0 := *d + hash := d0.checkSum() + return append(in, hash[:]...), d0.col +} diff --git a/vendor/github.com/pjbgf/sha1cd/sha1cdblock_amd64.go b/vendor/github.com/pjbgf/sha1cd/sha1cdblock_amd64.go new file mode 100644 index 0000000000..95e0830842 --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/sha1cdblock_amd64.go @@ -0,0 +1,50 @@ +//go:build !noasm && gc && amd64 +// +build !noasm,gc,amd64 + +package sha1cd + +import ( + "math" + "unsafe" + + shared "github.com/pjbgf/sha1cd/internal" +) + +type sliceHeader struct { + base uintptr + len int + cap int +} + +// blockAMD64 hashes the message p into the current state in dig. +// Both m1 and cs are used to store intermediate results which are used by the collision detection logic. +// +//go:noescape +func blockAMD64(dig *digest, p sliceHeader, m1 []uint32, cs [][5]uint32) + +func block(dig *digest, p []byte) { + m1 := [shared.Rounds]uint32{} + cs := [shared.PreStepState][shared.WordBuffers]uint32{} + + for len(p) >= shared.Chunk { + // Only send a block to be processed, as the collission detection + // works on a block by block basis. + ips := sliceHeader{ + base: uintptr(unsafe.Pointer(&p[0])), + len: int(math.Min(float64(len(p)), float64(shared.Chunk))), + cap: shared.Chunk, + } + + blockAMD64(dig, ips, m1[:], cs[:]) + + col := checkCollision(m1, cs, dig.h) + if col { + dig.col = true + + blockAMD64(dig, ips, m1[:], cs[:]) + blockAMD64(dig, ips, m1[:], cs[:]) + } + + p = p[shared.Chunk:] + } +} diff --git a/vendor/github.com/pjbgf/sha1cd/sha1cdblock_amd64.s b/vendor/github.com/pjbgf/sha1cd/sha1cdblock_amd64.s new file mode 100644 index 0000000000..86f9821cab --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/sha1cdblock_amd64.s @@ -0,0 +1,2274 @@ +// Code generated by command: go run sha1cdblock_amd64_asm.go -out sha1cdblock_amd64.s. DO NOT EDIT. + +//go:build !noasm && gc && amd64 +// +build !noasm,gc,amd64 + +#include "textflag.h" + +// func blockAMD64(dig *digest, p []byte, m1 []uint32, cs [][5]uint32) +TEXT ·blockAMD64(SB), NOSPLIT, $64-80 + MOVQ dig+0(FP), R8 + MOVQ p_base+8(FP), DI + MOVQ p_len+16(FP), DX + SHRQ $+6, DX + SHLQ $+6, DX + LEAQ (DI)(DX*1), SI + + // Load h0, h1, h2, h3, h4. + MOVL (R8), AX + MOVL 4(R8), BX + MOVL 8(R8), CX + MOVL 12(R8), DX + MOVL 16(R8), BP + + // len(p) >= chunk + CMPQ DI, SI + JEQ end + +loop: + // Initialize registers a, b, c, d, e. + MOVL AX, R10 + MOVL BX, R11 + MOVL CX, R12 + MOVL DX, R13 + MOVL BP, R14 + + // ROUND1 (steps 0-15) + // Load cs + MOVQ cs_base+56(FP), R8 + MOVL R10, (R8) + MOVL R11, 4(R8) + MOVL R12, 8(R8) + MOVL R13, 12(R8) + MOVL R14, 16(R8) + + // ROUND1(0) + // LOAD + MOVL (DI), R9 + BSWAPL R9 + MOVL R9, (SP) + + // FUNC1 + MOVL R13, R15 + XORL R12, R15 + ANDL R11, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 1518500249(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL (SP), R9 + MOVL R9, (R8) + + // ROUND1(1) + // LOAD + MOVL 4(DI), R9 + BSWAPL R9 + MOVL R9, 4(SP) + + // FUNC1 + MOVL R12, R15 + XORL R11, R15 + ANDL R10, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 1518500249(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 4(SP), R9 + MOVL R9, 4(R8) + + // ROUND1(2) + // LOAD + MOVL 8(DI), R9 + BSWAPL R9 + MOVL R9, 8(SP) + + // FUNC1 + MOVL R11, R15 + XORL R10, R15 + ANDL R14, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 1518500249(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 8(SP), R9 + MOVL R9, 8(R8) + + // ROUND1(3) + // LOAD + MOVL 12(DI), R9 + BSWAPL R9 + MOVL R9, 12(SP) + + // FUNC1 + MOVL R10, R15 + XORL R14, R15 + ANDL R13, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 1518500249(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 12(SP), R9 + MOVL R9, 12(R8) + + // ROUND1(4) + // LOAD + MOVL 16(DI), R9 + BSWAPL R9 + MOVL R9, 16(SP) + + // FUNC1 + MOVL R14, R15 + XORL R13, R15 + ANDL R12, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 1518500249(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 16(SP), R9 + MOVL R9, 16(R8) + + // ROUND1(5) + // LOAD + MOVL 20(DI), R9 + BSWAPL R9 + MOVL R9, 20(SP) + + // FUNC1 + MOVL R13, R15 + XORL R12, R15 + ANDL R11, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 1518500249(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 20(SP), R9 + MOVL R9, 20(R8) + + // ROUND1(6) + // LOAD + MOVL 24(DI), R9 + BSWAPL R9 + MOVL R9, 24(SP) + + // FUNC1 + MOVL R12, R15 + XORL R11, R15 + ANDL R10, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 1518500249(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 24(SP), R9 + MOVL R9, 24(R8) + + // ROUND1(7) + // LOAD + MOVL 28(DI), R9 + BSWAPL R9 + MOVL R9, 28(SP) + + // FUNC1 + MOVL R11, R15 + XORL R10, R15 + ANDL R14, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 1518500249(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 28(SP), R9 + MOVL R9, 28(R8) + + // ROUND1(8) + // LOAD + MOVL 32(DI), R9 + BSWAPL R9 + MOVL R9, 32(SP) + + // FUNC1 + MOVL R10, R15 + XORL R14, R15 + ANDL R13, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 1518500249(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 32(SP), R9 + MOVL R9, 32(R8) + + // ROUND1(9) + // LOAD + MOVL 36(DI), R9 + BSWAPL R9 + MOVL R9, 36(SP) + + // FUNC1 + MOVL R14, R15 + XORL R13, R15 + ANDL R12, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 1518500249(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 36(SP), R9 + MOVL R9, 36(R8) + + // ROUND1(10) + // LOAD + MOVL 40(DI), R9 + BSWAPL R9 + MOVL R9, 40(SP) + + // FUNC1 + MOVL R13, R15 + XORL R12, R15 + ANDL R11, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 1518500249(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 40(SP), R9 + MOVL R9, 40(R8) + + // ROUND1(11) + // LOAD + MOVL 44(DI), R9 + BSWAPL R9 + MOVL R9, 44(SP) + + // FUNC1 + MOVL R12, R15 + XORL R11, R15 + ANDL R10, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 1518500249(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 44(SP), R9 + MOVL R9, 44(R8) + + // ROUND1(12) + // LOAD + MOVL 48(DI), R9 + BSWAPL R9 + MOVL R9, 48(SP) + + // FUNC1 + MOVL R11, R15 + XORL R10, R15 + ANDL R14, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 1518500249(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 48(SP), R9 + MOVL R9, 48(R8) + + // ROUND1(13) + // LOAD + MOVL 52(DI), R9 + BSWAPL R9 + MOVL R9, 52(SP) + + // FUNC1 + MOVL R10, R15 + XORL R14, R15 + ANDL R13, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 1518500249(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 52(SP), R9 + MOVL R9, 52(R8) + + // ROUND1(14) + // LOAD + MOVL 56(DI), R9 + BSWAPL R9 + MOVL R9, 56(SP) + + // FUNC1 + MOVL R14, R15 + XORL R13, R15 + ANDL R12, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 1518500249(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 56(SP), R9 + MOVL R9, 56(R8) + + // ROUND1(15) + // LOAD + MOVL 60(DI), R9 + BSWAPL R9 + MOVL R9, 60(SP) + + // FUNC1 + MOVL R13, R15 + XORL R12, R15 + ANDL R11, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 1518500249(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 60(SP), R9 + MOVL R9, 60(R8) + + // ROUND1x (steps 16-19) - same as ROUND1 but with no data load. + // ROUND1x(16) + // SHUFFLE + MOVL (SP), R9 + XORL 52(SP), R9 + XORL 32(SP), R9 + XORL 8(SP), R9 + ROLL $+1, R9 + MOVL R9, (SP) + + // FUNC1 + MOVL R12, R15 + XORL R11, R15 + ANDL R10, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 1518500249(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL (SP), R9 + MOVL R9, 64(R8) + + // ROUND1x(17) + // SHUFFLE + MOVL 4(SP), R9 + XORL 56(SP), R9 + XORL 36(SP), R9 + XORL 12(SP), R9 + ROLL $+1, R9 + MOVL R9, 4(SP) + + // FUNC1 + MOVL R11, R15 + XORL R10, R15 + ANDL R14, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 1518500249(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 4(SP), R9 + MOVL R9, 68(R8) + + // ROUND1x(18) + // SHUFFLE + MOVL 8(SP), R9 + XORL 60(SP), R9 + XORL 40(SP), R9 + XORL 16(SP), R9 + ROLL $+1, R9 + MOVL R9, 8(SP) + + // FUNC1 + MOVL R10, R15 + XORL R14, R15 + ANDL R13, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 1518500249(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 8(SP), R9 + MOVL R9, 72(R8) + + // ROUND1x(19) + // SHUFFLE + MOVL 12(SP), R9 + XORL (SP), R9 + XORL 44(SP), R9 + XORL 20(SP), R9 + ROLL $+1, R9 + MOVL R9, 12(SP) + + // FUNC1 + MOVL R14, R15 + XORL R13, R15 + ANDL R12, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 1518500249(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 12(SP), R9 + MOVL R9, 76(R8) + + // ROUND2 (steps 20-39) + // ROUND2(20) + // SHUFFLE + MOVL 16(SP), R9 + XORL 4(SP), R9 + XORL 48(SP), R9 + XORL 24(SP), R9 + ROLL $+1, R9 + MOVL R9, 16(SP) + + // FUNC2 + MOVL R11, R15 + XORL R12, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 1859775393(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 16(SP), R9 + MOVL R9, 80(R8) + + // ROUND2(21) + // SHUFFLE + MOVL 20(SP), R9 + XORL 8(SP), R9 + XORL 52(SP), R9 + XORL 28(SP), R9 + ROLL $+1, R9 + MOVL R9, 20(SP) + + // FUNC2 + MOVL R10, R15 + XORL R11, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 1859775393(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 20(SP), R9 + MOVL R9, 84(R8) + + // ROUND2(22) + // SHUFFLE + MOVL 24(SP), R9 + XORL 12(SP), R9 + XORL 56(SP), R9 + XORL 32(SP), R9 + ROLL $+1, R9 + MOVL R9, 24(SP) + + // FUNC2 + MOVL R14, R15 + XORL R10, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 1859775393(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 24(SP), R9 + MOVL R9, 88(R8) + + // ROUND2(23) + // SHUFFLE + MOVL 28(SP), R9 + XORL 16(SP), R9 + XORL 60(SP), R9 + XORL 36(SP), R9 + ROLL $+1, R9 + MOVL R9, 28(SP) + + // FUNC2 + MOVL R13, R15 + XORL R14, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 1859775393(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 28(SP), R9 + MOVL R9, 92(R8) + + // ROUND2(24) + // SHUFFLE + MOVL 32(SP), R9 + XORL 20(SP), R9 + XORL (SP), R9 + XORL 40(SP), R9 + ROLL $+1, R9 + MOVL R9, 32(SP) + + // FUNC2 + MOVL R12, R15 + XORL R13, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 1859775393(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 32(SP), R9 + MOVL R9, 96(R8) + + // ROUND2(25) + // SHUFFLE + MOVL 36(SP), R9 + XORL 24(SP), R9 + XORL 4(SP), R9 + XORL 44(SP), R9 + ROLL $+1, R9 + MOVL R9, 36(SP) + + // FUNC2 + MOVL R11, R15 + XORL R12, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 1859775393(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 36(SP), R9 + MOVL R9, 100(R8) + + // ROUND2(26) + // SHUFFLE + MOVL 40(SP), R9 + XORL 28(SP), R9 + XORL 8(SP), R9 + XORL 48(SP), R9 + ROLL $+1, R9 + MOVL R9, 40(SP) + + // FUNC2 + MOVL R10, R15 + XORL R11, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 1859775393(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 40(SP), R9 + MOVL R9, 104(R8) + + // ROUND2(27) + // SHUFFLE + MOVL 44(SP), R9 + XORL 32(SP), R9 + XORL 12(SP), R9 + XORL 52(SP), R9 + ROLL $+1, R9 + MOVL R9, 44(SP) + + // FUNC2 + MOVL R14, R15 + XORL R10, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 1859775393(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 44(SP), R9 + MOVL R9, 108(R8) + + // ROUND2(28) + // SHUFFLE + MOVL 48(SP), R9 + XORL 36(SP), R9 + XORL 16(SP), R9 + XORL 56(SP), R9 + ROLL $+1, R9 + MOVL R9, 48(SP) + + // FUNC2 + MOVL R13, R15 + XORL R14, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 1859775393(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 48(SP), R9 + MOVL R9, 112(R8) + + // ROUND2(29) + // SHUFFLE + MOVL 52(SP), R9 + XORL 40(SP), R9 + XORL 20(SP), R9 + XORL 60(SP), R9 + ROLL $+1, R9 + MOVL R9, 52(SP) + + // FUNC2 + MOVL R12, R15 + XORL R13, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 1859775393(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 52(SP), R9 + MOVL R9, 116(R8) + + // ROUND2(30) + // SHUFFLE + MOVL 56(SP), R9 + XORL 44(SP), R9 + XORL 24(SP), R9 + XORL (SP), R9 + ROLL $+1, R9 + MOVL R9, 56(SP) + + // FUNC2 + MOVL R11, R15 + XORL R12, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 1859775393(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 56(SP), R9 + MOVL R9, 120(R8) + + // ROUND2(31) + // SHUFFLE + MOVL 60(SP), R9 + XORL 48(SP), R9 + XORL 28(SP), R9 + XORL 4(SP), R9 + ROLL $+1, R9 + MOVL R9, 60(SP) + + // FUNC2 + MOVL R10, R15 + XORL R11, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 1859775393(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 60(SP), R9 + MOVL R9, 124(R8) + + // ROUND2(32) + // SHUFFLE + MOVL (SP), R9 + XORL 52(SP), R9 + XORL 32(SP), R9 + XORL 8(SP), R9 + ROLL $+1, R9 + MOVL R9, (SP) + + // FUNC2 + MOVL R14, R15 + XORL R10, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 1859775393(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL (SP), R9 + MOVL R9, 128(R8) + + // ROUND2(33) + // SHUFFLE + MOVL 4(SP), R9 + XORL 56(SP), R9 + XORL 36(SP), R9 + XORL 12(SP), R9 + ROLL $+1, R9 + MOVL R9, 4(SP) + + // FUNC2 + MOVL R13, R15 + XORL R14, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 1859775393(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 4(SP), R9 + MOVL R9, 132(R8) + + // ROUND2(34) + // SHUFFLE + MOVL 8(SP), R9 + XORL 60(SP), R9 + XORL 40(SP), R9 + XORL 16(SP), R9 + ROLL $+1, R9 + MOVL R9, 8(SP) + + // FUNC2 + MOVL R12, R15 + XORL R13, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 1859775393(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 8(SP), R9 + MOVL R9, 136(R8) + + // ROUND2(35) + // SHUFFLE + MOVL 12(SP), R9 + XORL (SP), R9 + XORL 44(SP), R9 + XORL 20(SP), R9 + ROLL $+1, R9 + MOVL R9, 12(SP) + + // FUNC2 + MOVL R11, R15 + XORL R12, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 1859775393(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 12(SP), R9 + MOVL R9, 140(R8) + + // ROUND2(36) + // SHUFFLE + MOVL 16(SP), R9 + XORL 4(SP), R9 + XORL 48(SP), R9 + XORL 24(SP), R9 + ROLL $+1, R9 + MOVL R9, 16(SP) + + // FUNC2 + MOVL R10, R15 + XORL R11, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 1859775393(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 16(SP), R9 + MOVL R9, 144(R8) + + // ROUND2(37) + // SHUFFLE + MOVL 20(SP), R9 + XORL 8(SP), R9 + XORL 52(SP), R9 + XORL 28(SP), R9 + ROLL $+1, R9 + MOVL R9, 20(SP) + + // FUNC2 + MOVL R14, R15 + XORL R10, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 1859775393(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 20(SP), R9 + MOVL R9, 148(R8) + + // ROUND2(38) + // SHUFFLE + MOVL 24(SP), R9 + XORL 12(SP), R9 + XORL 56(SP), R9 + XORL 32(SP), R9 + ROLL $+1, R9 + MOVL R9, 24(SP) + + // FUNC2 + MOVL R13, R15 + XORL R14, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 1859775393(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 24(SP), R9 + MOVL R9, 152(R8) + + // ROUND2(39) + // SHUFFLE + MOVL 28(SP), R9 + XORL 16(SP), R9 + XORL 60(SP), R9 + XORL 36(SP), R9 + ROLL $+1, R9 + MOVL R9, 28(SP) + + // FUNC2 + MOVL R12, R15 + XORL R13, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 1859775393(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 28(SP), R9 + MOVL R9, 156(R8) + + // ROUND3 (steps 40-59) + // ROUND3(40) + // SHUFFLE + MOVL 32(SP), R9 + XORL 20(SP), R9 + XORL (SP), R9 + XORL 40(SP), R9 + ROLL $+1, R9 + MOVL R9, 32(SP) + + // FUNC3 + MOVL R11, R8 + ORL R12, R8 + ANDL R13, R8 + MOVL R11, R15 + ANDL R12, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 2400959708(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 32(SP), R9 + MOVL R9, 160(R8) + + // ROUND3(41) + // SHUFFLE + MOVL 36(SP), R9 + XORL 24(SP), R9 + XORL 4(SP), R9 + XORL 44(SP), R9 + ROLL $+1, R9 + MOVL R9, 36(SP) + + // FUNC3 + MOVL R10, R8 + ORL R11, R8 + ANDL R12, R8 + MOVL R10, R15 + ANDL R11, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 2400959708(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 36(SP), R9 + MOVL R9, 164(R8) + + // ROUND3(42) + // SHUFFLE + MOVL 40(SP), R9 + XORL 28(SP), R9 + XORL 8(SP), R9 + XORL 48(SP), R9 + ROLL $+1, R9 + MOVL R9, 40(SP) + + // FUNC3 + MOVL R14, R8 + ORL R10, R8 + ANDL R11, R8 + MOVL R14, R15 + ANDL R10, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 2400959708(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 40(SP), R9 + MOVL R9, 168(R8) + + // ROUND3(43) + // SHUFFLE + MOVL 44(SP), R9 + XORL 32(SP), R9 + XORL 12(SP), R9 + XORL 52(SP), R9 + ROLL $+1, R9 + MOVL R9, 44(SP) + + // FUNC3 + MOVL R13, R8 + ORL R14, R8 + ANDL R10, R8 + MOVL R13, R15 + ANDL R14, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 2400959708(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 44(SP), R9 + MOVL R9, 172(R8) + + // ROUND3(44) + // SHUFFLE + MOVL 48(SP), R9 + XORL 36(SP), R9 + XORL 16(SP), R9 + XORL 56(SP), R9 + ROLL $+1, R9 + MOVL R9, 48(SP) + + // FUNC3 + MOVL R12, R8 + ORL R13, R8 + ANDL R14, R8 + MOVL R12, R15 + ANDL R13, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 2400959708(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 48(SP), R9 + MOVL R9, 176(R8) + + // ROUND3(45) + // SHUFFLE + MOVL 52(SP), R9 + XORL 40(SP), R9 + XORL 20(SP), R9 + XORL 60(SP), R9 + ROLL $+1, R9 + MOVL R9, 52(SP) + + // FUNC3 + MOVL R11, R8 + ORL R12, R8 + ANDL R13, R8 + MOVL R11, R15 + ANDL R12, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 2400959708(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 52(SP), R9 + MOVL R9, 180(R8) + + // ROUND3(46) + // SHUFFLE + MOVL 56(SP), R9 + XORL 44(SP), R9 + XORL 24(SP), R9 + XORL (SP), R9 + ROLL $+1, R9 + MOVL R9, 56(SP) + + // FUNC3 + MOVL R10, R8 + ORL R11, R8 + ANDL R12, R8 + MOVL R10, R15 + ANDL R11, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 2400959708(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 56(SP), R9 + MOVL R9, 184(R8) + + // ROUND3(47) + // SHUFFLE + MOVL 60(SP), R9 + XORL 48(SP), R9 + XORL 28(SP), R9 + XORL 4(SP), R9 + ROLL $+1, R9 + MOVL R9, 60(SP) + + // FUNC3 + MOVL R14, R8 + ORL R10, R8 + ANDL R11, R8 + MOVL R14, R15 + ANDL R10, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 2400959708(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 60(SP), R9 + MOVL R9, 188(R8) + + // ROUND3(48) + // SHUFFLE + MOVL (SP), R9 + XORL 52(SP), R9 + XORL 32(SP), R9 + XORL 8(SP), R9 + ROLL $+1, R9 + MOVL R9, (SP) + + // FUNC3 + MOVL R13, R8 + ORL R14, R8 + ANDL R10, R8 + MOVL R13, R15 + ANDL R14, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 2400959708(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL (SP), R9 + MOVL R9, 192(R8) + + // ROUND3(49) + // SHUFFLE + MOVL 4(SP), R9 + XORL 56(SP), R9 + XORL 36(SP), R9 + XORL 12(SP), R9 + ROLL $+1, R9 + MOVL R9, 4(SP) + + // FUNC3 + MOVL R12, R8 + ORL R13, R8 + ANDL R14, R8 + MOVL R12, R15 + ANDL R13, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 2400959708(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 4(SP), R9 + MOVL R9, 196(R8) + + // ROUND3(50) + // SHUFFLE + MOVL 8(SP), R9 + XORL 60(SP), R9 + XORL 40(SP), R9 + XORL 16(SP), R9 + ROLL $+1, R9 + MOVL R9, 8(SP) + + // FUNC3 + MOVL R11, R8 + ORL R12, R8 + ANDL R13, R8 + MOVL R11, R15 + ANDL R12, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 2400959708(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 8(SP), R9 + MOVL R9, 200(R8) + + // ROUND3(51) + // SHUFFLE + MOVL 12(SP), R9 + XORL (SP), R9 + XORL 44(SP), R9 + XORL 20(SP), R9 + ROLL $+1, R9 + MOVL R9, 12(SP) + + // FUNC3 + MOVL R10, R8 + ORL R11, R8 + ANDL R12, R8 + MOVL R10, R15 + ANDL R11, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 2400959708(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 12(SP), R9 + MOVL R9, 204(R8) + + // ROUND3(52) + // SHUFFLE + MOVL 16(SP), R9 + XORL 4(SP), R9 + XORL 48(SP), R9 + XORL 24(SP), R9 + ROLL $+1, R9 + MOVL R9, 16(SP) + + // FUNC3 + MOVL R14, R8 + ORL R10, R8 + ANDL R11, R8 + MOVL R14, R15 + ANDL R10, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 2400959708(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 16(SP), R9 + MOVL R9, 208(R8) + + // ROUND3(53) + // SHUFFLE + MOVL 20(SP), R9 + XORL 8(SP), R9 + XORL 52(SP), R9 + XORL 28(SP), R9 + ROLL $+1, R9 + MOVL R9, 20(SP) + + // FUNC3 + MOVL R13, R8 + ORL R14, R8 + ANDL R10, R8 + MOVL R13, R15 + ANDL R14, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 2400959708(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 20(SP), R9 + MOVL R9, 212(R8) + + // ROUND3(54) + // SHUFFLE + MOVL 24(SP), R9 + XORL 12(SP), R9 + XORL 56(SP), R9 + XORL 32(SP), R9 + ROLL $+1, R9 + MOVL R9, 24(SP) + + // FUNC3 + MOVL R12, R8 + ORL R13, R8 + ANDL R14, R8 + MOVL R12, R15 + ANDL R13, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 2400959708(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 24(SP), R9 + MOVL R9, 216(R8) + + // ROUND3(55) + // SHUFFLE + MOVL 28(SP), R9 + XORL 16(SP), R9 + XORL 60(SP), R9 + XORL 36(SP), R9 + ROLL $+1, R9 + MOVL R9, 28(SP) + + // FUNC3 + MOVL R11, R8 + ORL R12, R8 + ANDL R13, R8 + MOVL R11, R15 + ANDL R12, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 2400959708(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 28(SP), R9 + MOVL R9, 220(R8) + + // ROUND3(56) + // SHUFFLE + MOVL 32(SP), R9 + XORL 20(SP), R9 + XORL (SP), R9 + XORL 40(SP), R9 + ROLL $+1, R9 + MOVL R9, 32(SP) + + // FUNC3 + MOVL R10, R8 + ORL R11, R8 + ANDL R12, R8 + MOVL R10, R15 + ANDL R11, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 2400959708(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 32(SP), R9 + MOVL R9, 224(R8) + + // ROUND3(57) + // SHUFFLE + MOVL 36(SP), R9 + XORL 24(SP), R9 + XORL 4(SP), R9 + XORL 44(SP), R9 + ROLL $+1, R9 + MOVL R9, 36(SP) + + // FUNC3 + MOVL R14, R8 + ORL R10, R8 + ANDL R11, R8 + MOVL R14, R15 + ANDL R10, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 2400959708(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 36(SP), R9 + MOVL R9, 228(R8) + + // Load cs + MOVQ cs_base+56(FP), R8 + MOVL R12, 20(R8) + MOVL R13, 24(R8) + MOVL R14, 28(R8) + MOVL R10, 32(R8) + MOVL R11, 36(R8) + + // ROUND3(58) + // SHUFFLE + MOVL 40(SP), R9 + XORL 28(SP), R9 + XORL 8(SP), R9 + XORL 48(SP), R9 + ROLL $+1, R9 + MOVL R9, 40(SP) + + // FUNC3 + MOVL R13, R8 + ORL R14, R8 + ANDL R10, R8 + MOVL R13, R15 + ANDL R14, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 2400959708(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 40(SP), R9 + MOVL R9, 232(R8) + + // ROUND3(59) + // SHUFFLE + MOVL 44(SP), R9 + XORL 32(SP), R9 + XORL 12(SP), R9 + XORL 52(SP), R9 + ROLL $+1, R9 + MOVL R9, 44(SP) + + // FUNC3 + MOVL R12, R8 + ORL R13, R8 + ANDL R14, R8 + MOVL R12, R15 + ANDL R13, R15 + ORL R8, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 2400959708(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 44(SP), R9 + MOVL R9, 236(R8) + + // ROUND4 (steps 60-79) + // ROUND4(60) + // SHUFFLE + MOVL 48(SP), R9 + XORL 36(SP), R9 + XORL 16(SP), R9 + XORL 56(SP), R9 + ROLL $+1, R9 + MOVL R9, 48(SP) + + // FUNC2 + MOVL R11, R15 + XORL R12, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 3395469782(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 48(SP), R9 + MOVL R9, 240(R8) + + // ROUND4(61) + // SHUFFLE + MOVL 52(SP), R9 + XORL 40(SP), R9 + XORL 20(SP), R9 + XORL 60(SP), R9 + ROLL $+1, R9 + MOVL R9, 52(SP) + + // FUNC2 + MOVL R10, R15 + XORL R11, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 3395469782(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 52(SP), R9 + MOVL R9, 244(R8) + + // ROUND4(62) + // SHUFFLE + MOVL 56(SP), R9 + XORL 44(SP), R9 + XORL 24(SP), R9 + XORL (SP), R9 + ROLL $+1, R9 + MOVL R9, 56(SP) + + // FUNC2 + MOVL R14, R15 + XORL R10, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 3395469782(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 56(SP), R9 + MOVL R9, 248(R8) + + // ROUND4(63) + // SHUFFLE + MOVL 60(SP), R9 + XORL 48(SP), R9 + XORL 28(SP), R9 + XORL 4(SP), R9 + ROLL $+1, R9 + MOVL R9, 60(SP) + + // FUNC2 + MOVL R13, R15 + XORL R14, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 3395469782(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 60(SP), R9 + MOVL R9, 252(R8) + + // ROUND4(64) + // SHUFFLE + MOVL (SP), R9 + XORL 52(SP), R9 + XORL 32(SP), R9 + XORL 8(SP), R9 + ROLL $+1, R9 + MOVL R9, (SP) + + // FUNC2 + MOVL R12, R15 + XORL R13, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 3395469782(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL (SP), R9 + MOVL R9, 256(R8) + + // Load cs + MOVQ cs_base+56(FP), R8 + MOVL R10, 40(R8) + MOVL R11, 44(R8) + MOVL R12, 48(R8) + MOVL R13, 52(R8) + MOVL R14, 56(R8) + + // ROUND4(65) + // SHUFFLE + MOVL 4(SP), R9 + XORL 56(SP), R9 + XORL 36(SP), R9 + XORL 12(SP), R9 + ROLL $+1, R9 + MOVL R9, 4(SP) + + // FUNC2 + MOVL R11, R15 + XORL R12, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 3395469782(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 4(SP), R9 + MOVL R9, 260(R8) + + // ROUND4(66) + // SHUFFLE + MOVL 8(SP), R9 + XORL 60(SP), R9 + XORL 40(SP), R9 + XORL 16(SP), R9 + ROLL $+1, R9 + MOVL R9, 8(SP) + + // FUNC2 + MOVL R10, R15 + XORL R11, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 3395469782(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 8(SP), R9 + MOVL R9, 264(R8) + + // ROUND4(67) + // SHUFFLE + MOVL 12(SP), R9 + XORL (SP), R9 + XORL 44(SP), R9 + XORL 20(SP), R9 + ROLL $+1, R9 + MOVL R9, 12(SP) + + // FUNC2 + MOVL R14, R15 + XORL R10, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 3395469782(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 12(SP), R9 + MOVL R9, 268(R8) + + // ROUND4(68) + // SHUFFLE + MOVL 16(SP), R9 + XORL 4(SP), R9 + XORL 48(SP), R9 + XORL 24(SP), R9 + ROLL $+1, R9 + MOVL R9, 16(SP) + + // FUNC2 + MOVL R13, R15 + XORL R14, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 3395469782(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 16(SP), R9 + MOVL R9, 272(R8) + + // ROUND4(69) + // SHUFFLE + MOVL 20(SP), R9 + XORL 8(SP), R9 + XORL 52(SP), R9 + XORL 28(SP), R9 + ROLL $+1, R9 + MOVL R9, 20(SP) + + // FUNC2 + MOVL R12, R15 + XORL R13, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 3395469782(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 20(SP), R9 + MOVL R9, 276(R8) + + // ROUND4(70) + // SHUFFLE + MOVL 24(SP), R9 + XORL 12(SP), R9 + XORL 56(SP), R9 + XORL 32(SP), R9 + ROLL $+1, R9 + MOVL R9, 24(SP) + + // FUNC2 + MOVL R11, R15 + XORL R12, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 3395469782(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 24(SP), R9 + MOVL R9, 280(R8) + + // ROUND4(71) + // SHUFFLE + MOVL 28(SP), R9 + XORL 16(SP), R9 + XORL 60(SP), R9 + XORL 36(SP), R9 + ROLL $+1, R9 + MOVL R9, 28(SP) + + // FUNC2 + MOVL R10, R15 + XORL R11, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 3395469782(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 28(SP), R9 + MOVL R9, 284(R8) + + // ROUND4(72) + // SHUFFLE + MOVL 32(SP), R9 + XORL 20(SP), R9 + XORL (SP), R9 + XORL 40(SP), R9 + ROLL $+1, R9 + MOVL R9, 32(SP) + + // FUNC2 + MOVL R14, R15 + XORL R10, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 3395469782(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 32(SP), R9 + MOVL R9, 288(R8) + + // ROUND4(73) + // SHUFFLE + MOVL 36(SP), R9 + XORL 24(SP), R9 + XORL 4(SP), R9 + XORL 44(SP), R9 + ROLL $+1, R9 + MOVL R9, 36(SP) + + // FUNC2 + MOVL R13, R15 + XORL R14, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 3395469782(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 36(SP), R9 + MOVL R9, 292(R8) + + // ROUND4(74) + // SHUFFLE + MOVL 40(SP), R9 + XORL 28(SP), R9 + XORL 8(SP), R9 + XORL 48(SP), R9 + ROLL $+1, R9 + MOVL R9, 40(SP) + + // FUNC2 + MOVL R12, R15 + XORL R13, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 3395469782(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 40(SP), R9 + MOVL R9, 296(R8) + + // ROUND4(75) + // SHUFFLE + MOVL 44(SP), R9 + XORL 32(SP), R9 + XORL 12(SP), R9 + XORL 52(SP), R9 + ROLL $+1, R9 + MOVL R9, 44(SP) + + // FUNC2 + MOVL R11, R15 + XORL R12, R15 + XORL R13, R15 + + // MIX + ROLL $+30, R11 + ADDL R15, R14 + MOVL R10, R8 + ROLL $+5, R8 + LEAL 3395469782(R14)(R9*1), R14 + ADDL R8, R14 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 44(SP), R9 + MOVL R9, 300(R8) + + // ROUND4(76) + // SHUFFLE + MOVL 48(SP), R9 + XORL 36(SP), R9 + XORL 16(SP), R9 + XORL 56(SP), R9 + ROLL $+1, R9 + MOVL R9, 48(SP) + + // FUNC2 + MOVL R10, R15 + XORL R11, R15 + XORL R12, R15 + + // MIX + ROLL $+30, R10 + ADDL R15, R13 + MOVL R14, R8 + ROLL $+5, R8 + LEAL 3395469782(R13)(R9*1), R13 + ADDL R8, R13 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 48(SP), R9 + MOVL R9, 304(R8) + + // ROUND4(77) + // SHUFFLE + MOVL 52(SP), R9 + XORL 40(SP), R9 + XORL 20(SP), R9 + XORL 60(SP), R9 + ROLL $+1, R9 + MOVL R9, 52(SP) + + // FUNC2 + MOVL R14, R15 + XORL R10, R15 + XORL R11, R15 + + // MIX + ROLL $+30, R14 + ADDL R15, R12 + MOVL R13, R8 + ROLL $+5, R8 + LEAL 3395469782(R12)(R9*1), R12 + ADDL R8, R12 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 52(SP), R9 + MOVL R9, 308(R8) + + // ROUND4(78) + // SHUFFLE + MOVL 56(SP), R9 + XORL 44(SP), R9 + XORL 24(SP), R9 + XORL (SP), R9 + ROLL $+1, R9 + MOVL R9, 56(SP) + + // FUNC2 + MOVL R13, R15 + XORL R14, R15 + XORL R10, R15 + + // MIX + ROLL $+30, R13 + ADDL R15, R11 + MOVL R12, R8 + ROLL $+5, R8 + LEAL 3395469782(R11)(R9*1), R11 + ADDL R8, R11 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 56(SP), R9 + MOVL R9, 312(R8) + + // ROUND4(79) + // SHUFFLE + MOVL 60(SP), R9 + XORL 48(SP), R9 + XORL 28(SP), R9 + XORL 4(SP), R9 + ROLL $+1, R9 + MOVL R9, 60(SP) + + // FUNC2 + MOVL R12, R15 + XORL R13, R15 + XORL R14, R15 + + // MIX + ROLL $+30, R12 + ADDL R15, R10 + MOVL R11, R8 + ROLL $+5, R8 + LEAL 3395469782(R10)(R9*1), R10 + ADDL R8, R10 + + // Load m1 + MOVQ m1_base+32(FP), R8 + MOVL 60(SP), R9 + MOVL R9, 316(R8) + + // Add registers to temp hash. + ADDL R10, AX + ADDL R11, BX + ADDL R12, CX + ADDL R13, DX + ADDL R14, BP + ADDQ $+64, DI + CMPQ DI, SI + JB loop + +end: + MOVQ dig+0(FP), SI + MOVL AX, (SI) + MOVL BX, 4(SI) + MOVL CX, 8(SI) + MOVL DX, 12(SI) + MOVL BP, 16(SI) + RET diff --git a/vendor/github.com/pjbgf/sha1cd/sha1cdblock_generic.go b/vendor/github.com/pjbgf/sha1cd/sha1cdblock_generic.go new file mode 100644 index 0000000000..ba8b96e879 --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/sha1cdblock_generic.go @@ -0,0 +1,268 @@ +// Copyright 2009 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Originally from: https://github.com/go/blob/master/src/crypto/sha1/sha1block.go +// It has been modified to support collision detection. + +package sha1cd + +import ( + "fmt" + "math/bits" + + shared "github.com/pjbgf/sha1cd/internal" + "github.com/pjbgf/sha1cd/ubc" +) + +// blockGeneric is a portable, pure Go version of the SHA-1 block step. +// It's used by sha1block_generic.go and tests. +func blockGeneric(dig *digest, p []byte) { + var w [16]uint32 + + // cs stores the pre-step compression state for only the steps required for the + // collision detection, which are 0, 58 and 65. + // Refer to ubc/const.go for more details. + cs := [shared.PreStepState][shared.WordBuffers]uint32{} + + h0, h1, h2, h3, h4 := dig.h[0], dig.h[1], dig.h[2], dig.h[3], dig.h[4] + for len(p) >= shared.Chunk { + m1 := [shared.Rounds]uint32{} + hi := 1 + + // Collision attacks are thwarted by hashing a detected near-collision block 3 times. + // Think of it as extending SHA-1 from 80-steps to 240-steps for such blocks: + // The best collision attacks against SHA-1 have complexity about 2^60, + // thus for 240-steps an immediate lower-bound for the best cryptanalytic attacks would be 2^180. + // An attacker would be better off using a generic birthday search of complexity 2^80. + rehash: + a, b, c, d, e := h0, h1, h2, h3, h4 + + // Each of the four 20-iteration rounds + // differs only in the computation of f and + // the choice of K (K0, K1, etc). + i := 0 + + // Store pre-step compression state for the collision detection. + cs[0] = [shared.WordBuffers]uint32{a, b, c, d, e} + + for ; i < 16; i++ { + // load step + j := i * 4 + w[i] = uint32(p[j])<<24 | uint32(p[j+1])<<16 | uint32(p[j+2])<<8 | uint32(p[j+3]) + + f := b&c | (^b)&d + t := bits.RotateLeft32(a, 5) + f + e + w[i&0xf] + shared.K0 + a, b, c, d, e = t, a, bits.RotateLeft32(b, 30), c, d + + // Store compression state for the collision detection. + m1[i] = w[i&0xf] + } + for ; i < 20; i++ { + tmp := w[(i-3)&0xf] ^ w[(i-8)&0xf] ^ w[(i-14)&0xf] ^ w[(i)&0xf] + w[i&0xf] = tmp<<1 | tmp>>(32-1) + + f := b&c | (^b)&d + t := bits.RotateLeft32(a, 5) + f + e + w[i&0xf] + shared.K0 + a, b, c, d, e = t, a, bits.RotateLeft32(b, 30), c, d + + // Store compression state for the collision detection. + m1[i] = w[i&0xf] + } + for ; i < 40; i++ { + tmp := w[(i-3)&0xf] ^ w[(i-8)&0xf] ^ w[(i-14)&0xf] ^ w[(i)&0xf] + w[i&0xf] = tmp<<1 | tmp>>(32-1) + + f := b ^ c ^ d + t := bits.RotateLeft32(a, 5) + f + e + w[i&0xf] + shared.K1 + a, b, c, d, e = t, a, bits.RotateLeft32(b, 30), c, d + + // Store compression state for the collision detection. + m1[i] = w[i&0xf] + } + for ; i < 60; i++ { + if i == 58 { + // Store pre-step compression state for the collision detection. + cs[1] = [shared.WordBuffers]uint32{a, b, c, d, e} + } + + tmp := w[(i-3)&0xf] ^ w[(i-8)&0xf] ^ w[(i-14)&0xf] ^ w[(i)&0xf] + w[i&0xf] = tmp<<1 | tmp>>(32-1) + + f := ((b | c) & d) | (b & c) + t := bits.RotateLeft32(a, 5) + f + e + w[i&0xf] + shared.K2 + a, b, c, d, e = t, a, bits.RotateLeft32(b, 30), c, d + + // Store compression state for the collision detection. + m1[i] = w[i&0xf] + } + for ; i < 80; i++ { + if i == 65 { + // Store pre-step compression state for the collision detection. + cs[2] = [shared.WordBuffers]uint32{a, b, c, d, e} + } + + tmp := w[(i-3)&0xf] ^ w[(i-8)&0xf] ^ w[(i-14)&0xf] ^ w[(i)&0xf] + w[i&0xf] = tmp<<1 | tmp>>(32-1) + + f := b ^ c ^ d + t := bits.RotateLeft32(a, 5) + f + e + w[i&0xf] + shared.K3 + a, b, c, d, e = t, a, bits.RotateLeft32(b, 30), c, d + + // Store compression state for the collision detection. + m1[i] = w[i&0xf] + } + + h0 += a + h1 += b + h2 += c + h3 += d + h4 += e + + if hi == 2 { + hi++ + goto rehash + } + + if hi == 1 { + col := checkCollision(m1, cs, [shared.WordBuffers]uint32{h0, h1, h2, h3, h4}) + if col { + dig.col = true + hi++ + goto rehash + } + } + + p = p[shared.Chunk:] + } + + dig.h[0], dig.h[1], dig.h[2], dig.h[3], dig.h[4] = h0, h1, h2, h3, h4 +} + +func checkCollision( + m1 [shared.Rounds]uint32, + cs [shared.PreStepState][shared.WordBuffers]uint32, + state [shared.WordBuffers]uint32) bool { + + if mask := ubc.CalculateDvMask(m1); mask != 0 { + dvs := ubc.SHA1_dvs() + + for i := 0; dvs[i].DvType != 0; i++ { + if (mask & ((uint32)(1) << uint32(dvs[i].MaskB))) != 0 { + var csState [shared.WordBuffers]uint32 + switch dvs[i].TestT { + case 58: + csState = cs[1] + case 65: + csState = cs[2] + case 0: + csState = cs[0] + default: + panic(fmt.Sprintf("dvs data is trying to use a testT that isn't available: %d", dvs[i].TestT)) + } + + col := hasCollided( + dvs[i].TestT, // testT is the step number + // m2 is a secondary message created XORing with + // ubc's DM prior to the SHA recompression step. + m1, dvs[i].Dm, + csState, + state) + + if col { + return true + } + } + } + } + return false +} + +func hasCollided(step uint32, m1, dm [shared.Rounds]uint32, + state [shared.WordBuffers]uint32, h [shared.WordBuffers]uint32) bool { + // Intermediary Hash Value. + ihv := [shared.WordBuffers]uint32{} + + a, b, c, d, e := state[0], state[1], state[2], state[3], state[4] + + // Walk backwards from current step to undo previous compression. + // The existing collision detection does not have dvs higher than 65, + // start value of i accordingly. + for i := uint32(64); i >= 60; i-- { + a, b, c, d, e = b, c, d, e, a + if step > i { + b = bits.RotateLeft32(b, -30) + f := b ^ c ^ d + e -= bits.RotateLeft32(a, 5) + f + shared.K3 + (m1[i] ^ dm[i]) // m2 = m1 ^ dm. + } + } + for i := uint32(59); i >= 40; i-- { + a, b, c, d, e = b, c, d, e, a + if step > i { + b = bits.RotateLeft32(b, -30) + f := ((b | c) & d) | (b & c) + e -= bits.RotateLeft32(a, 5) + f + shared.K2 + (m1[i] ^ dm[i]) + } + } + for i := uint32(39); i >= 20; i-- { + a, b, c, d, e = b, c, d, e, a + if step > i { + b = bits.RotateLeft32(b, -30) + f := b ^ c ^ d + e -= bits.RotateLeft32(a, 5) + f + shared.K1 + (m1[i] ^ dm[i]) + } + } + for i := uint32(20); i > 0; i-- { + j := i - 1 + a, b, c, d, e = b, c, d, e, a + if step > j { + b = bits.RotateLeft32(b, -30) // undo the rotate left + f := b&c | (^b)&d + // subtract from e + e -= bits.RotateLeft32(a, 5) + f + shared.K0 + (m1[j] ^ dm[j]) + } + } + + ihv[0] = a + ihv[1] = b + ihv[2] = c + ihv[3] = d + ihv[4] = e + a = state[0] + b = state[1] + c = state[2] + d = state[3] + e = state[4] + + // Recompress blocks based on the current step. + // The existing collision detection does not have dvs below 58, so they have been removed + // from the source code. If new dvs are added which target rounds below 40, that logic + // will need to be readded here. + for i := uint32(40); i < 60; i++ { + if step <= i { + f := ((b | c) & d) | (b & c) + t := bits.RotateLeft32(a, 5) + f + e + shared.K2 + (m1[i] ^ dm[i]) + a, b, c, d, e = t, a, bits.RotateLeft32(b, 30), c, d + } + } + for i := uint32(60); i < 80; i++ { + if step <= i { + f := b ^ c ^ d + t := bits.RotateLeft32(a, 5) + f + e + shared.K3 + (m1[i] ^ dm[i]) + a, b, c, d, e = t, a, bits.RotateLeft32(b, 30), c, d + } + } + + ihv[0] += a + ihv[1] += b + ihv[2] += c + ihv[3] += d + ihv[4] += e + + if ((ihv[0] ^ h[0]) | (ihv[1] ^ h[1]) | + (ihv[2] ^ h[2]) | (ihv[3] ^ h[3]) | (ihv[4] ^ h[4])) == 0 { + return true + } + + return false +} diff --git a/vendor/github.com/pjbgf/sha1cd/sha1cdblock_noasm.go b/vendor/github.com/pjbgf/sha1cd/sha1cdblock_noasm.go new file mode 100644 index 0000000000..15bae5a7e8 --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/sha1cdblock_noasm.go @@ -0,0 +1,8 @@ +//go:build !amd64 || noasm || !gc +// +build !amd64 noasm !gc + +package sha1cd + +func block(dig *digest, p []byte) { + blockGeneric(dig, p) +} diff --git a/vendor/github.com/pjbgf/sha1cd/ubc/check.go b/vendor/github.com/pjbgf/sha1cd/ubc/check.go new file mode 100644 index 0000000000..167a5558fd --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/ubc/check.go @@ -0,0 +1,368 @@ +// Based on the C implementation from Marc Stevens and Dan Shumow. +// https://github.com/cr-marcstevens/sha1collisiondetection + +package ubc + +type DvInfo struct { + // DvType, DvK and DvB define the DV: I(K,B) or II(K,B) (see the paper). + // https://marc-stevens.nl/research/papers/C13-S.pdf + DvType uint32 + DvK uint32 + DvB uint32 + + // TestT is the step to do the recompression from for collision detection. + TestT uint32 + + // MaskI and MaskB define the bit to check for each DV in the dvmask returned by ubc_check. + MaskI uint32 + MaskB uint32 + + // Dm is the expanded message block XOR-difference defined by the DV. + Dm [80]uint32 +} + +// CalculateDvMask takes as input an expanded message block and verifies the unavoidable bitconditions +// for all listed DVs. It returns a dvmask where each bit belonging to a DV is set if all +// unavoidable bitconditions for that DV have been met. +// Thus, one needs to do the recompression check for each DV that has its bit set. +func CalculateDvMask(W [80]uint32) uint32 { + mask := uint32(0xFFFFFFFF) + mask &= (((((W[44] ^ W[45]) >> 29) & 1) - 1) | ^(DV_I_48_0_bit | DV_I_51_0_bit | DV_I_52_0_bit | DV_II_45_0_bit | DV_II_46_0_bit | DV_II_50_0_bit | DV_II_51_0_bit)) + mask &= (((((W[49] ^ W[50]) >> 29) & 1) - 1) | ^(DV_I_46_0_bit | DV_II_45_0_bit | DV_II_50_0_bit | DV_II_51_0_bit | DV_II_55_0_bit | DV_II_56_0_bit)) + mask &= (((((W[48] ^ W[49]) >> 29) & 1) - 1) | ^(DV_I_45_0_bit | DV_I_52_0_bit | DV_II_49_0_bit | DV_II_50_0_bit | DV_II_54_0_bit | DV_II_55_0_bit)) + mask &= ((((W[47] ^ (W[50] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_I_47_0_bit | DV_I_49_0_bit | DV_I_51_0_bit | DV_II_45_0_bit | DV_II_51_0_bit | DV_II_56_0_bit)) + mask &= (((((W[47] ^ W[48]) >> 29) & 1) - 1) | ^(DV_I_44_0_bit | DV_I_51_0_bit | DV_II_48_0_bit | DV_II_49_0_bit | DV_II_53_0_bit | DV_II_54_0_bit)) + mask &= (((((W[46] >> 4) ^ (W[49] >> 29)) & 1) - 1) | ^(DV_I_46_0_bit | DV_I_48_0_bit | DV_I_50_0_bit | DV_I_52_0_bit | DV_II_50_0_bit | DV_II_55_0_bit)) + mask &= (((((W[46] ^ W[47]) >> 29) & 1) - 1) | ^(DV_I_43_0_bit | DV_I_50_0_bit | DV_II_47_0_bit | DV_II_48_0_bit | DV_II_52_0_bit | DV_II_53_0_bit)) + mask &= (((((W[45] >> 4) ^ (W[48] >> 29)) & 1) - 1) | ^(DV_I_45_0_bit | DV_I_47_0_bit | DV_I_49_0_bit | DV_I_51_0_bit | DV_II_49_0_bit | DV_II_54_0_bit)) + mask &= (((((W[45] ^ W[46]) >> 29) & 1) - 1) | ^(DV_I_49_0_bit | DV_I_52_0_bit | DV_II_46_0_bit | DV_II_47_0_bit | DV_II_51_0_bit | DV_II_52_0_bit)) + mask &= (((((W[44] >> 4) ^ (W[47] >> 29)) & 1) - 1) | ^(DV_I_44_0_bit | DV_I_46_0_bit | DV_I_48_0_bit | DV_I_50_0_bit | DV_II_48_0_bit | DV_II_53_0_bit)) + mask &= (((((W[43] >> 4) ^ (W[46] >> 29)) & 1) - 1) | ^(DV_I_43_0_bit | DV_I_45_0_bit | DV_I_47_0_bit | DV_I_49_0_bit | DV_II_47_0_bit | DV_II_52_0_bit)) + mask &= (((((W[43] ^ W[44]) >> 29) & 1) - 1) | ^(DV_I_47_0_bit | DV_I_50_0_bit | DV_I_51_0_bit | DV_II_45_0_bit | DV_II_49_0_bit | DV_II_50_0_bit)) + mask &= (((((W[42] >> 4) ^ (W[45] >> 29)) & 1) - 1) | ^(DV_I_44_0_bit | DV_I_46_0_bit | DV_I_48_0_bit | DV_I_52_0_bit | DV_II_46_0_bit | DV_II_51_0_bit)) + mask &= (((((W[41] >> 4) ^ (W[44] >> 29)) & 1) - 1) | ^(DV_I_43_0_bit | DV_I_45_0_bit | DV_I_47_0_bit | DV_I_51_0_bit | DV_II_45_0_bit | DV_II_50_0_bit)) + mask &= (((((W[40] ^ W[41]) >> 29) & 1) - 1) | ^(DV_I_44_0_bit | DV_I_47_0_bit | DV_I_48_0_bit | DV_II_46_0_bit | DV_II_47_0_bit | DV_II_56_0_bit)) + mask &= (((((W[54] ^ W[55]) >> 29) & 1) - 1) | ^(DV_I_51_0_bit | DV_II_47_0_bit | DV_II_50_0_bit | DV_II_55_0_bit | DV_II_56_0_bit)) + mask &= (((((W[53] ^ W[54]) >> 29) & 1) - 1) | ^(DV_I_50_0_bit | DV_II_46_0_bit | DV_II_49_0_bit | DV_II_54_0_bit | DV_II_55_0_bit)) + mask &= (((((W[52] ^ W[53]) >> 29) & 1) - 1) | ^(DV_I_49_0_bit | DV_II_45_0_bit | DV_II_48_0_bit | DV_II_53_0_bit | DV_II_54_0_bit)) + mask &= ((((W[50] ^ (W[53] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_I_50_0_bit | DV_I_52_0_bit | DV_II_46_0_bit | DV_II_48_0_bit | DV_II_54_0_bit)) + mask &= (((((W[50] ^ W[51]) >> 29) & 1) - 1) | ^(DV_I_47_0_bit | DV_II_46_0_bit | DV_II_51_0_bit | DV_II_52_0_bit | DV_II_56_0_bit)) + mask &= ((((W[49] ^ (W[52] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_I_49_0_bit | DV_I_51_0_bit | DV_II_45_0_bit | DV_II_47_0_bit | DV_II_53_0_bit)) + mask &= ((((W[48] ^ (W[51] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_I_48_0_bit | DV_I_50_0_bit | DV_I_52_0_bit | DV_II_46_0_bit | DV_II_52_0_bit)) + mask &= (((((W[42] ^ W[43]) >> 29) & 1) - 1) | ^(DV_I_46_0_bit | DV_I_49_0_bit | DV_I_50_0_bit | DV_II_48_0_bit | DV_II_49_0_bit)) + mask &= (((((W[41] ^ W[42]) >> 29) & 1) - 1) | ^(DV_I_45_0_bit | DV_I_48_0_bit | DV_I_49_0_bit | DV_II_47_0_bit | DV_II_48_0_bit)) + mask &= (((((W[40] >> 4) ^ (W[43] >> 29)) & 1) - 1) | ^(DV_I_44_0_bit | DV_I_46_0_bit | DV_I_50_0_bit | DV_II_49_0_bit | DV_II_56_0_bit)) + mask &= (((((W[39] >> 4) ^ (W[42] >> 29)) & 1) - 1) | ^(DV_I_43_0_bit | DV_I_45_0_bit | DV_I_49_0_bit | DV_II_48_0_bit | DV_II_55_0_bit)) + + if (mask & (DV_I_44_0_bit | DV_I_48_0_bit | DV_II_47_0_bit | DV_II_54_0_bit | DV_II_56_0_bit)) != 0 { + mask &= (((((W[38] >> 4) ^ (W[41] >> 29)) & 1) - 1) | ^(DV_I_44_0_bit | DV_I_48_0_bit | DV_II_47_0_bit | DV_II_54_0_bit | DV_II_56_0_bit)) + } + mask &= (((((W[37] >> 4) ^ (W[40] >> 29)) & 1) - 1) | ^(DV_I_43_0_bit | DV_I_47_0_bit | DV_II_46_0_bit | DV_II_53_0_bit | DV_II_55_0_bit)) + if (mask & (DV_I_52_0_bit | DV_II_48_0_bit | DV_II_51_0_bit | DV_II_56_0_bit)) != 0 { + mask &= (((((W[55] ^ W[56]) >> 29) & 1) - 1) | ^(DV_I_52_0_bit | DV_II_48_0_bit | DV_II_51_0_bit | DV_II_56_0_bit)) + } + if (mask & (DV_I_52_0_bit | DV_II_48_0_bit | DV_II_50_0_bit | DV_II_56_0_bit)) != 0 { + mask &= ((((W[52] ^ (W[55] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_I_52_0_bit | DV_II_48_0_bit | DV_II_50_0_bit | DV_II_56_0_bit)) + } + if (mask & (DV_I_51_0_bit | DV_II_47_0_bit | DV_II_49_0_bit | DV_II_55_0_bit)) != 0 { + mask &= ((((W[51] ^ (W[54] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_I_51_0_bit | DV_II_47_0_bit | DV_II_49_0_bit | DV_II_55_0_bit)) + } + if (mask & (DV_I_48_0_bit | DV_II_47_0_bit | DV_II_52_0_bit | DV_II_53_0_bit)) != 0 { + mask &= (((((W[51] ^ W[52]) >> 29) & 1) - 1) | ^(DV_I_48_0_bit | DV_II_47_0_bit | DV_II_52_0_bit | DV_II_53_0_bit)) + } + if (mask & (DV_I_46_0_bit | DV_I_49_0_bit | DV_II_45_0_bit | DV_II_48_0_bit)) != 0 { + mask &= (((((W[36] >> 4) ^ (W[40] >> 29)) & 1) - 1) | ^(DV_I_46_0_bit | DV_I_49_0_bit | DV_II_45_0_bit | DV_II_48_0_bit)) + } + if (mask & (DV_I_52_0_bit | DV_II_48_0_bit | DV_II_49_0_bit)) != 0 { + mask &= ((0 - (((W[53] ^ W[56]) >> 29) & 1)) | ^(DV_I_52_0_bit | DV_II_48_0_bit | DV_II_49_0_bit)) + } + if (mask & (DV_I_50_0_bit | DV_II_46_0_bit | DV_II_47_0_bit)) != 0 { + mask &= ((0 - (((W[51] ^ W[54]) >> 29) & 1)) | ^(DV_I_50_0_bit | DV_II_46_0_bit | DV_II_47_0_bit)) + } + if (mask & (DV_I_49_0_bit | DV_I_51_0_bit | DV_II_45_0_bit)) != 0 { + mask &= ((0 - (((W[50] ^ W[52]) >> 29) & 1)) | ^(DV_I_49_0_bit | DV_I_51_0_bit | DV_II_45_0_bit)) + } + if (mask & (DV_I_48_0_bit | DV_I_50_0_bit | DV_I_52_0_bit)) != 0 { + mask &= ((0 - (((W[49] ^ W[51]) >> 29) & 1)) | ^(DV_I_48_0_bit | DV_I_50_0_bit | DV_I_52_0_bit)) + } + if (mask & (DV_I_47_0_bit | DV_I_49_0_bit | DV_I_51_0_bit)) != 0 { + mask &= ((0 - (((W[48] ^ W[50]) >> 29) & 1)) | ^(DV_I_47_0_bit | DV_I_49_0_bit | DV_I_51_0_bit)) + } + if (mask & (DV_I_46_0_bit | DV_I_48_0_bit | DV_I_50_0_bit)) != 0 { + mask &= ((0 - (((W[47] ^ W[49]) >> 29) & 1)) | ^(DV_I_46_0_bit | DV_I_48_0_bit | DV_I_50_0_bit)) + } + if (mask & (DV_I_45_0_bit | DV_I_47_0_bit | DV_I_49_0_bit)) != 0 { + mask &= ((0 - (((W[46] ^ W[48]) >> 29) & 1)) | ^(DV_I_45_0_bit | DV_I_47_0_bit | DV_I_49_0_bit)) + } + mask &= ((((W[45] ^ W[47]) & (1 << 6)) - (1 << 6)) | ^(DV_I_47_2_bit | DV_I_49_2_bit | DV_I_51_2_bit)) + if (mask & (DV_I_44_0_bit | DV_I_46_0_bit | DV_I_48_0_bit)) != 0 { + mask &= ((0 - (((W[45] ^ W[47]) >> 29) & 1)) | ^(DV_I_44_0_bit | DV_I_46_0_bit | DV_I_48_0_bit)) + } + mask &= (((((W[44] ^ W[46]) >> 6) & 1) - 1) | ^(DV_I_46_2_bit | DV_I_48_2_bit | DV_I_50_2_bit)) + if (mask & (DV_I_43_0_bit | DV_I_45_0_bit | DV_I_47_0_bit)) != 0 { + mask &= ((0 - (((W[44] ^ W[46]) >> 29) & 1)) | ^(DV_I_43_0_bit | DV_I_45_0_bit | DV_I_47_0_bit)) + } + mask &= ((0 - ((W[41] ^ (W[42] >> 5)) & (1 << 1))) | ^(DV_I_48_2_bit | DV_II_46_2_bit | DV_II_51_2_bit)) + mask &= ((0 - ((W[40] ^ (W[41] >> 5)) & (1 << 1))) | ^(DV_I_47_2_bit | DV_I_51_2_bit | DV_II_50_2_bit)) + if (mask & (DV_I_44_0_bit | DV_I_46_0_bit | DV_II_56_0_bit)) != 0 { + mask &= ((0 - (((W[40] ^ W[42]) >> 4) & 1)) | ^(DV_I_44_0_bit | DV_I_46_0_bit | DV_II_56_0_bit)) + } + mask &= ((0 - ((W[39] ^ (W[40] >> 5)) & (1 << 1))) | ^(DV_I_46_2_bit | DV_I_50_2_bit | DV_II_49_2_bit)) + if (mask & (DV_I_43_0_bit | DV_I_45_0_bit | DV_II_55_0_bit)) != 0 { + mask &= ((0 - (((W[39] ^ W[41]) >> 4) & 1)) | ^(DV_I_43_0_bit | DV_I_45_0_bit | DV_II_55_0_bit)) + } + if (mask & (DV_I_44_0_bit | DV_II_54_0_bit | DV_II_56_0_bit)) != 0 { + mask &= ((0 - (((W[38] ^ W[40]) >> 4) & 1)) | ^(DV_I_44_0_bit | DV_II_54_0_bit | DV_II_56_0_bit)) + } + if (mask & (DV_I_43_0_bit | DV_II_53_0_bit | DV_II_55_0_bit)) != 0 { + mask &= ((0 - (((W[37] ^ W[39]) >> 4) & 1)) | ^(DV_I_43_0_bit | DV_II_53_0_bit | DV_II_55_0_bit)) + } + mask &= ((0 - ((W[36] ^ (W[37] >> 5)) & (1 << 1))) | ^(DV_I_47_2_bit | DV_I_50_2_bit | DV_II_46_2_bit)) + if (mask & (DV_I_45_0_bit | DV_I_48_0_bit | DV_II_47_0_bit)) != 0 { + mask &= (((((W[35] >> 4) ^ (W[39] >> 29)) & 1) - 1) | ^(DV_I_45_0_bit | DV_I_48_0_bit | DV_II_47_0_bit)) + } + if (mask & (DV_I_48_0_bit | DV_II_48_0_bit)) != 0 { + mask &= ((0 - ((W[63] ^ (W[64] >> 5)) & (1 << 0))) | ^(DV_I_48_0_bit | DV_II_48_0_bit)) + } + if (mask & (DV_I_45_0_bit | DV_II_45_0_bit)) != 0 { + mask &= ((0 - ((W[63] ^ (W[64] >> 5)) & (1 << 1))) | ^(DV_I_45_0_bit | DV_II_45_0_bit)) + } + if (mask & (DV_I_47_0_bit | DV_II_47_0_bit)) != 0 { + mask &= ((0 - ((W[62] ^ (W[63] >> 5)) & (1 << 0))) | ^(DV_I_47_0_bit | DV_II_47_0_bit)) + } + if (mask & (DV_I_46_0_bit | DV_II_46_0_bit)) != 0 { + mask &= ((0 - ((W[61] ^ (W[62] >> 5)) & (1 << 0))) | ^(DV_I_46_0_bit | DV_II_46_0_bit)) + } + mask &= ((0 - ((W[61] ^ (W[62] >> 5)) & (1 << 2))) | ^(DV_I_46_2_bit | DV_II_46_2_bit)) + if (mask & (DV_I_45_0_bit | DV_II_45_0_bit)) != 0 { + mask &= ((0 - ((W[60] ^ (W[61] >> 5)) & (1 << 0))) | ^(DV_I_45_0_bit | DV_II_45_0_bit)) + } + if (mask & (DV_II_51_0_bit | DV_II_54_0_bit)) != 0 { + mask &= (((((W[58] ^ W[59]) >> 29) & 1) - 1) | ^(DV_II_51_0_bit | DV_II_54_0_bit)) + } + if (mask & (DV_II_50_0_bit | DV_II_53_0_bit)) != 0 { + mask &= (((((W[57] ^ W[58]) >> 29) & 1) - 1) | ^(DV_II_50_0_bit | DV_II_53_0_bit)) + } + if (mask & (DV_II_52_0_bit | DV_II_54_0_bit)) != 0 { + mask &= ((((W[56] ^ (W[59] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_II_52_0_bit | DV_II_54_0_bit)) + } + if (mask & (DV_II_51_0_bit | DV_II_52_0_bit)) != 0 { + mask &= ((0 - (((W[56] ^ W[59]) >> 29) & 1)) | ^(DV_II_51_0_bit | DV_II_52_0_bit)) + } + if (mask & (DV_II_49_0_bit | DV_II_52_0_bit)) != 0 { + mask &= (((((W[56] ^ W[57]) >> 29) & 1) - 1) | ^(DV_II_49_0_bit | DV_II_52_0_bit)) + } + if (mask & (DV_II_51_0_bit | DV_II_53_0_bit)) != 0 { + mask &= ((((W[55] ^ (W[58] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_II_51_0_bit | DV_II_53_0_bit)) + } + if (mask & (DV_II_50_0_bit | DV_II_52_0_bit)) != 0 { + mask &= ((((W[54] ^ (W[57] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_II_50_0_bit | DV_II_52_0_bit)) + } + if (mask & (DV_II_49_0_bit | DV_II_51_0_bit)) != 0 { + mask &= ((((W[53] ^ (W[56] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_II_49_0_bit | DV_II_51_0_bit)) + } + mask &= ((((W[51] ^ (W[50] >> 5)) & (1 << 1)) - (1 << 1)) | ^(DV_I_50_2_bit | DV_II_46_2_bit)) + mask &= ((((W[48] ^ W[50]) & (1 << 6)) - (1 << 6)) | ^(DV_I_50_2_bit | DV_II_46_2_bit)) + if (mask & (DV_I_51_0_bit | DV_I_52_0_bit)) != 0 { + mask &= ((0 - (((W[48] ^ W[55]) >> 29) & 1)) | ^(DV_I_51_0_bit | DV_I_52_0_bit)) + } + mask &= ((((W[47] ^ W[49]) & (1 << 6)) - (1 << 6)) | ^(DV_I_49_2_bit | DV_I_51_2_bit)) + mask &= ((((W[48] ^ (W[47] >> 5)) & (1 << 1)) - (1 << 1)) | ^(DV_I_47_2_bit | DV_II_51_2_bit)) + mask &= ((((W[46] ^ W[48]) & (1 << 6)) - (1 << 6)) | ^(DV_I_48_2_bit | DV_I_50_2_bit)) + mask &= ((((W[47] ^ (W[46] >> 5)) & (1 << 1)) - (1 << 1)) | ^(DV_I_46_2_bit | DV_II_50_2_bit)) + mask &= ((0 - ((W[44] ^ (W[45] >> 5)) & (1 << 1))) | ^(DV_I_51_2_bit | DV_II_49_2_bit)) + mask &= ((((W[43] ^ W[45]) & (1 << 6)) - (1 << 6)) | ^(DV_I_47_2_bit | DV_I_49_2_bit)) + mask &= (((((W[42] ^ W[44]) >> 6) & 1) - 1) | ^(DV_I_46_2_bit | DV_I_48_2_bit)) + mask &= ((((W[43] ^ (W[42] >> 5)) & (1 << 1)) - (1 << 1)) | ^(DV_II_46_2_bit | DV_II_51_2_bit)) + mask &= ((((W[42] ^ (W[41] >> 5)) & (1 << 1)) - (1 << 1)) | ^(DV_I_51_2_bit | DV_II_50_2_bit)) + mask &= ((((W[41] ^ (W[40] >> 5)) & (1 << 1)) - (1 << 1)) | ^(DV_I_50_2_bit | DV_II_49_2_bit)) + if (mask & (DV_I_52_0_bit | DV_II_51_0_bit)) != 0 { + mask &= ((((W[39] ^ (W[43] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_I_52_0_bit | DV_II_51_0_bit)) + } + if (mask & (DV_I_51_0_bit | DV_II_50_0_bit)) != 0 { + mask &= ((((W[38] ^ (W[42] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_I_51_0_bit | DV_II_50_0_bit)) + } + if (mask & (DV_I_48_2_bit | DV_I_51_2_bit)) != 0 { + mask &= ((0 - ((W[37] ^ (W[38] >> 5)) & (1 << 1))) | ^(DV_I_48_2_bit | DV_I_51_2_bit)) + } + if (mask & (DV_I_50_0_bit | DV_II_49_0_bit)) != 0 { + mask &= ((((W[37] ^ (W[41] >> 25)) & (1 << 4)) - (1 << 4)) | ^(DV_I_50_0_bit | DV_II_49_0_bit)) + } + if (mask & (DV_II_52_0_bit | DV_II_54_0_bit)) != 0 { + mask &= ((0 - ((W[36] ^ W[38]) & (1 << 4))) | ^(DV_II_52_0_bit | DV_II_54_0_bit)) + } + mask &= ((0 - ((W[35] ^ (W[36] >> 5)) & (1 << 1))) | ^(DV_I_46_2_bit | DV_I_49_2_bit)) + if (mask & (DV_I_51_0_bit | DV_II_47_0_bit)) != 0 { + mask &= ((((W[35] ^ (W[39] >> 25)) & (1 << 3)) - (1 << 3)) | ^(DV_I_51_0_bit | DV_II_47_0_bit)) + } + + if mask != 0 { + if (mask & DV_I_43_0_bit) != 0 { + if not((W[61]^(W[62]>>5))&(1<<1)) != 0 || + not(not((W[59]^(W[63]>>25))&(1<<5))) != 0 || + not((W[58]^(W[63]>>30))&(1<<0)) != 0 { + mask &= ^DV_I_43_0_bit + } + } + if (mask & DV_I_44_0_bit) != 0 { + if not((W[62]^(W[63]>>5))&(1<<1)) != 0 || + not(not((W[60]^(W[64]>>25))&(1<<5))) != 0 || + not((W[59]^(W[64]>>30))&(1<<0)) != 0 { + mask &= ^DV_I_44_0_bit + } + } + if (mask & DV_I_46_2_bit) != 0 { + mask &= ((^((W[40] ^ W[42]) >> 2)) | ^DV_I_46_2_bit) + } + if (mask & DV_I_47_2_bit) != 0 { + if not((W[62]^(W[63]>>5))&(1<<2)) != 0 || + not(not((W[41]^W[43])&(1<<6))) != 0 { + mask &= ^DV_I_47_2_bit + } + } + if (mask & DV_I_48_2_bit) != 0 { + if not((W[63]^(W[64]>>5))&(1<<2)) != 0 || + not(not((W[48]^(W[49]<<5))&(1<<6))) != 0 { + mask &= ^DV_I_48_2_bit + } + } + if (mask & DV_I_49_2_bit) != 0 { + if not(not((W[49]^(W[50]<<5))&(1<<6))) != 0 || + not((W[42]^W[50])&(1<<1)) != 0 || + not(not((W[39]^(W[40]<<5))&(1<<6))) != 0 || + not((W[38]^W[40])&(1<<1)) != 0 { + mask &= ^DV_I_49_2_bit + } + } + if (mask & DV_I_50_0_bit) != 0 { + mask &= (((W[36] ^ W[37]) << 7) | ^DV_I_50_0_bit) + } + if (mask & DV_I_50_2_bit) != 0 { + mask &= (((W[43] ^ W[51]) << 11) | ^DV_I_50_2_bit) + } + if (mask & DV_I_51_0_bit) != 0 { + mask &= (((W[37] ^ W[38]) << 9) | ^DV_I_51_0_bit) + } + if (mask & DV_I_51_2_bit) != 0 { + if not(not((W[51]^(W[52]<<5))&(1<<6))) != 0 || + not(not((W[49]^W[51])&(1<<6))) != 0 || + not(not((W[37]^(W[37]>>5))&(1<<1))) != 0 || + not(not((W[35]^(W[39]>>25))&(1<<5))) != 0 { + mask &= ^DV_I_51_2_bit + } + } + if (mask & DV_I_52_0_bit) != 0 { + mask &= (((W[38] ^ W[39]) << 11) | ^DV_I_52_0_bit) + } + if (mask & DV_II_46_2_bit) != 0 { + mask &= (((W[47] ^ W[51]) << 17) | ^DV_II_46_2_bit) + } + if (mask & DV_II_48_0_bit) != 0 { + if not(not((W[36]^(W[40]>>25))&(1<<3))) != 0 || + not((W[35]^(W[40]<<2))&(1<<30)) != 0 { + mask &= ^DV_II_48_0_bit + } + } + if (mask & DV_II_49_0_bit) != 0 { + if not(not((W[37]^(W[41]>>25))&(1<<3))) != 0 || + not((W[36]^(W[41]<<2))&(1<<30)) != 0 { + mask &= ^DV_II_49_0_bit + } + } + if (mask & DV_II_49_2_bit) != 0 { + if not(not((W[53]^(W[54]<<5))&(1<<6))) != 0 || + not(not((W[51]^W[53])&(1<<6))) != 0 || + not((W[50]^W[54])&(1<<1)) != 0 || + not(not((W[45]^(W[46]<<5))&(1<<6))) != 0 || + not(not((W[37]^(W[41]>>25))&(1<<5))) != 0 || + not((W[36]^(W[41]>>30))&(1<<0)) != 0 { + mask &= ^DV_II_49_2_bit + } + } + if (mask & DV_II_50_0_bit) != 0 { + if not((W[55]^W[58])&(1<<29)) != 0 || + not(not((W[38]^(W[42]>>25))&(1<<3))) != 0 || + not((W[37]^(W[42]<<2))&(1<<30)) != 0 { + mask &= ^DV_II_50_0_bit + } + } + if (mask & DV_II_50_2_bit) != 0 { + if not(not((W[54]^(W[55]<<5))&(1<<6))) != 0 || + not(not((W[52]^W[54])&(1<<6))) != 0 || + not((W[51]^W[55])&(1<<1)) != 0 || + not((W[45]^W[47])&(1<<1)) != 0 || + not(not((W[38]^(W[42]>>25))&(1<<5))) != 0 || + not((W[37]^(W[42]>>30))&(1<<0)) != 0 { + mask &= ^DV_II_50_2_bit + } + } + if (mask & DV_II_51_0_bit) != 0 { + if not(not((W[39]^(W[43]>>25))&(1<<3))) != 0 || + not((W[38]^(W[43]<<2))&(1<<30)) != 0 { + mask &= ^DV_II_51_0_bit + } + } + if (mask & DV_II_51_2_bit) != 0 { + if not(not((W[55]^(W[56]<<5))&(1<<6))) != 0 || + not(not((W[53]^W[55])&(1<<6))) != 0 || + not((W[52]^W[56])&(1<<1)) != 0 || + not((W[46]^W[48])&(1<<1)) != 0 || + not(not((W[39]^(W[43]>>25))&(1<<5))) != 0 || + not((W[38]^(W[43]>>30))&(1<<0)) != 0 { + mask &= ^DV_II_51_2_bit + } + } + if (mask & DV_II_52_0_bit) != 0 { + if not(not((W[59]^W[60])&(1<<29))) != 0 || + not(not((W[40]^(W[44]>>25))&(1<<3))) != 0 || + not(not((W[40]^(W[44]>>25))&(1<<4))) != 0 || + not((W[39]^(W[44]<<2))&(1<<30)) != 0 { + mask &= ^DV_II_52_0_bit + } + } + if (mask & DV_II_53_0_bit) != 0 { + if not((W[58]^W[61])&(1<<29)) != 0 || + not(not((W[57]^(W[61]>>25))&(1<<4))) != 0 || + not(not((W[41]^(W[45]>>25))&(1<<3))) != 0 || + not(not((W[41]^(W[45]>>25))&(1<<4))) != 0 { + mask &= ^DV_II_53_0_bit + } + } + if (mask & DV_II_54_0_bit) != 0 { + if not(not((W[58]^(W[62]>>25))&(1<<4))) != 0 || + not(not((W[42]^(W[46]>>25))&(1<<3))) != 0 || + not(not((W[42]^(W[46]>>25))&(1<<4))) != 0 { + mask &= ^DV_II_54_0_bit + } + } + if (mask & DV_II_55_0_bit) != 0 { + if not(not((W[59]^(W[63]>>25))&(1<<4))) != 0 || + not(not((W[57]^(W[59]>>25))&(1<<4))) != 0 || + not(not((W[43]^(W[47]>>25))&(1<<3))) != 0 || + not(not((W[43]^(W[47]>>25))&(1<<4))) != 0 { + mask &= ^DV_II_55_0_bit + } + } + if (mask & DV_II_56_0_bit) != 0 { + if not(not((W[60]^(W[64]>>25))&(1<<4))) != 0 || + not(not((W[44]^(W[48]>>25))&(1<<3))) != 0 || + not(not((W[44]^(W[48]>>25))&(1<<4))) != 0 { + mask &= ^DV_II_56_0_bit + } + } + } + + return mask +} + +func not(x uint32) uint32 { + if x == 0 { + return 1 + } + + return 0 +} + +func SHA1_dvs() []DvInfo { + return sha1_dvs +} diff --git a/vendor/github.com/pjbgf/sha1cd/ubc/const.go b/vendor/github.com/pjbgf/sha1cd/ubc/const.go new file mode 100644 index 0000000000..eac14f466f --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/ubc/const.go @@ -0,0 +1,624 @@ +// Based on the C implementation from Marc Stevens and Dan Shumow. +// https://github.com/cr-marcstevens/sha1collisiondetection + +package ubc + +const ( + CheckSize = 80 + + DV_I_43_0_bit = (uint32)(1 << 0) + DV_I_44_0_bit = (uint32)(1 << 1) + DV_I_45_0_bit = (uint32)(1 << 2) + DV_I_46_0_bit = (uint32)(1 << 3) + DV_I_46_2_bit = (uint32)(1 << 4) + DV_I_47_0_bit = (uint32)(1 << 5) + DV_I_47_2_bit = (uint32)(1 << 6) + DV_I_48_0_bit = (uint32)(1 << 7) + DV_I_48_2_bit = (uint32)(1 << 8) + DV_I_49_0_bit = (uint32)(1 << 9) + DV_I_49_2_bit = (uint32)(1 << 10) + DV_I_50_0_bit = (uint32)(1 << 11) + DV_I_50_2_bit = (uint32)(1 << 12) + DV_I_51_0_bit = (uint32)(1 << 13) + DV_I_51_2_bit = (uint32)(1 << 14) + DV_I_52_0_bit = (uint32)(1 << 15) + DV_II_45_0_bit = (uint32)(1 << 16) + DV_II_46_0_bit = (uint32)(1 << 17) + DV_II_46_2_bit = (uint32)(1 << 18) + DV_II_47_0_bit = (uint32)(1 << 19) + DV_II_48_0_bit = (uint32)(1 << 20) + DV_II_49_0_bit = (uint32)(1 << 21) + DV_II_49_2_bit = (uint32)(1 << 22) + DV_II_50_0_bit = (uint32)(1 << 23) + DV_II_50_2_bit = (uint32)(1 << 24) + DV_II_51_0_bit = (uint32)(1 << 25) + DV_II_51_2_bit = (uint32)(1 << 26) + DV_II_52_0_bit = (uint32)(1 << 27) + DV_II_53_0_bit = (uint32)(1 << 28) + DV_II_54_0_bit = (uint32)(1 << 29) + DV_II_55_0_bit = (uint32)(1 << 30) + DV_II_56_0_bit = (uint32)(1 << 31) +) + +// sha1_dvs contains a list of SHA-1 Disturbance Vectors (DV) which defines the +// unavoidable bit conditions when a collision attack is in progress. +var sha1_dvs = []DvInfo{ + { + DvType: 1, DvK: 43, DvB: 0, TestT: 58, MaskI: 0, MaskB: 0, + Dm: [CheckSize]uint32{ + 0x08000000, 0x9800000c, 0xd8000010, 0x08000010, 0xb8000010, 0x98000000, 0x60000000, + 0x00000008, 0xc0000000, 0x90000014, 0x10000010, 0xb8000014, 0x28000000, 0x20000010, + 0x48000000, 0x08000018, 0x60000000, 0x90000010, 0xf0000010, 0x90000008, 0xc0000000, + 0x90000010, 0xf0000010, 0xb0000008, 0x40000000, 0x90000000, 0xf0000010, 0x90000018, + 0x60000000, 0x90000010, 0x90000010, 0x90000000, 0x80000000, 0x00000010, 0xa0000000, + 0x20000000, 0xa0000000, 0x20000010, 0x00000000, 0x20000010, 0x20000000, 0x00000010, + 0x20000000, 0x00000010, 0xa0000000, 0x00000000, 0x20000000, 0x20000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000001, 0x00000020, 0x00000001, 0x40000002, 0x40000040, + 0x40000002, 0x80000004, 0x80000080, 0x80000006, 0x00000049, 0x00000103, 0x80000009, + 0x80000012, 0x80000202, 0x00000018, 0x00000164, 0x00000408, 0x800000e6, 0x8000004c, + 0x00000803, 0x80000161, 0x80000599}, + }, { + DvType: 1, DvK: 44, DvB: 0, TestT: 58, MaskI: 0, MaskB: 1, + Dm: [CheckSize]uint32{ + 0xb4000008, 0x08000000, 0x9800000c, 0xd8000010, 0x08000010, 0xb8000010, 0x98000000, + 0x60000000, 0x00000008, 0xc0000000, 0x90000014, 0x10000010, 0xb8000014, 0x28000000, + 0x20000010, 0x48000000, 0x08000018, 0x60000000, 0x90000010, 0xf0000010, 0x90000008, + 0xc0000000, 0x90000010, 0xf0000010, 0xb0000008, 0x40000000, 0x90000000, 0xf0000010, + 0x90000018, 0x60000000, 0x90000010, 0x90000010, 0x90000000, 0x80000000, 0x00000010, + 0xa0000000, 0x20000000, 0xa0000000, 0x20000010, 0x00000000, 0x20000010, 0x20000000, + 0x00000010, 0x20000000, 0x00000010, 0xa0000000, 0x00000000, 0x20000000, 0x20000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0x00000020, 0x00000001, 0x40000002, + 0x40000040, 0x40000002, 0x80000004, 0x80000080, 0x80000006, 0x00000049, 0x00000103, + 0x80000009, 0x80000012, 0x80000202, 0x00000018, 0x00000164, 0x00000408, 0x800000e6, + 0x8000004c, 0x00000803, 0x80000161}, + }, + { + DvType: 1, DvK: 45, DvB: 0, TestT: 58, MaskI: 0, MaskB: 2, + Dm: [CheckSize]uint32{ + 0xf4000014, 0xb4000008, 0x08000000, 0x9800000c, 0xd8000010, 0x08000010, 0xb8000010, + 0x98000000, 0x60000000, 0x00000008, 0xc0000000, 0x90000014, 0x10000010, 0xb8000014, + 0x28000000, 0x20000010, 0x48000000, 0x08000018, 0x60000000, 0x90000010, 0xf0000010, + 0x90000008, 0xc0000000, 0x90000010, 0xf0000010, 0xb0000008, 0x40000000, 0x90000000, + 0xf0000010, 0x90000018, 0x60000000, 0x90000010, 0x90000010, 0x90000000, 0x80000000, + 0x00000010, 0xa0000000, 0x20000000, 0xa0000000, 0x20000010, 0x00000000, 0x20000010, + 0x20000000, 0x00000010, 0x20000000, 0x00000010, 0xa0000000, 0x00000000, 0x20000000, + 0x20000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0x00000020, 0x00000001, + 0x40000002, 0x40000040, 0x40000002, 0x80000004, 0x80000080, 0x80000006, 0x00000049, + 0x00000103, 0x80000009, 0x80000012, 0x80000202, 0x00000018, 0x00000164, 0x00000408, + 0x800000e6, 0x8000004c, 0x00000803}, + }, + { + DvType: 1, DvK: 46, DvB: 0, TestT: 58, MaskI: 0, MaskB: 3, + Dm: [CheckSize]uint32{ + 0x2c000010, 0xf4000014, 0xb4000008, 0x08000000, 0x9800000c, 0xd8000010, 0x08000010, + 0xb8000010, 0x98000000, 0x60000000, 0x00000008, 0xc0000000, 0x90000014, 0x10000010, + 0xb8000014, 0x28000000, 0x20000010, 0x48000000, 0x08000018, 0x60000000, 0x90000010, + 0xf0000010, 0x90000008, 0xc0000000, 0x90000010, 0xf0000010, 0xb0000008, 0x40000000, + 0x90000000, 0xf0000010, 0x90000018, 0x60000000, 0x90000010, 0x90000010, 0x90000000, + 0x80000000, 0x00000010, 0xa0000000, 0x20000000, 0xa0000000, 0x20000010, 0x00000000, + 0x20000010, 0x20000000, 0x00000010, 0x20000000, 0x00000010, 0xa0000000, 0x00000000, + 0x20000000, 0x20000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0x00000020, + 0x00000001, 0x40000002, 0x40000040, 0x40000002, 0x80000004, 0x80000080, 0x80000006, + 0x00000049, 0x00000103, 0x80000009, 0x80000012, 0x80000202, 0x00000018, 0x00000164, + 0x00000408, 0x800000e6, 0x8000004c}, + }, + { + DvType: 1, DvK: 46, DvB: 2, TestT: 58, MaskI: 0, MaskB: 4, + Dm: [CheckSize]uint32{ + 0xb0000040, 0xd0000053, 0xd0000022, 0x20000000, 0x60000032, 0x60000043, + 0x20000040, 0xe0000042, 0x60000002, 0x80000001, 0x00000020, 0x00000003, + 0x40000052, 0x40000040, 0xe0000052, 0xa0000000, 0x80000040, 0x20000001, + 0x20000060, 0x80000001, 0x40000042, 0xc0000043, 0x40000022, 0x00000003, + 0x40000042, 0xc0000043, 0xc0000022, 0x00000001, 0x40000002, 0xc0000043, + 0x40000062, 0x80000001, 0x40000042, 0x40000042, 0x40000002, 0x00000002, + 0x00000040, 0x80000002, 0x80000000, 0x80000002, 0x80000040, 0x00000000, + 0x80000040, 0x80000000, 0x00000040, 0x80000000, 0x00000040, 0x80000002, + 0x00000000, 0x80000000, 0x80000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000004, 0x00000080, 0x00000004, 0x00000009, 0x00000101, + 0x00000009, 0x00000012, 0x00000202, 0x0000001a, 0x00000124, 0x0000040c, + 0x00000026, 0x0000004a, 0x0000080a, 0x00000060, 0x00000590, 0x00001020, + 0x0000039a, 0x00000132}, + }, + { + DvType: 1, DvK: 47, DvB: 0, TestT: 58, MaskI: 0, MaskB: 5, + Dm: [CheckSize]uint32{ + 0xc8000010, 0x2c000010, 0xf4000014, 0xb4000008, 0x08000000, 0x9800000c, + 0xd8000010, 0x08000010, 0xb8000010, 0x98000000, 0x60000000, 0x00000008, + 0xc0000000, 0x90000014, 0x10000010, 0xb8000014, 0x28000000, 0x20000010, + 0x48000000, 0x08000018, 0x60000000, 0x90000010, 0xf0000010, 0x90000008, + 0xc0000000, 0x90000010, 0xf0000010, 0xb0000008, 0x40000000, 0x90000000, + 0xf0000010, 0x90000018, 0x60000000, 0x90000010, 0x90000010, 0x90000000, + 0x80000000, 0x00000010, 0xa0000000, 0x20000000, 0xa0000000, 0x20000010, + 0x00000000, 0x20000010, 0x20000000, 0x00000010, 0x20000000, 0x00000010, + 0xa0000000, 0x00000000, 0x20000000, 0x20000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000001, 0x00000020, 0x00000001, 0x40000002, + 0x40000040, 0x40000002, 0x80000004, 0x80000080, 0x80000006, 0x00000049, + 0x00000103, 0x80000009, 0x80000012, 0x80000202, 0x00000018, 0x00000164, + 0x00000408, 0x800000e6}, + }, + { + DvType: 1, DvK: 47, DvB: 2, TestT: 58, MaskI: 0, MaskB: 6, + Dm: [CheckSize]uint32{ + 0x20000043, 0xb0000040, 0xd0000053, 0xd0000022, 0x20000000, 0x60000032, + 0x60000043, 0x20000040, 0xe0000042, 0x60000002, 0x80000001, 0x00000020, + 0x00000003, 0x40000052, 0x40000040, 0xe0000052, 0xa0000000, 0x80000040, + 0x20000001, 0x20000060, 0x80000001, 0x40000042, 0xc0000043, 0x40000022, + 0x00000003, 0x40000042, 0xc0000043, 0xc0000022, 0x00000001, 0x40000002, + 0xc0000043, 0x40000062, 0x80000001, 0x40000042, 0x40000042, 0x40000002, + 0x00000002, 0x00000040, 0x80000002, 0x80000000, 0x80000002, 0x80000040, + 0x00000000, 0x80000040, 0x80000000, 0x00000040, 0x80000000, 0x00000040, + 0x80000002, 0x00000000, 0x80000000, 0x80000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000004, 0x00000080, 0x00000004, 0x00000009, + 0x00000101, 0x00000009, 0x00000012, 0x00000202, 0x0000001a, 0x00000124, + 0x0000040c, 0x00000026, 0x0000004a, 0x0000080a, 0x00000060, 0x00000590, + 0x00001020, 0x0000039a, + }, + }, + { + DvType: 1, DvK: 48, DvB: 0, TestT: 58, MaskI: 0, MaskB: 7, + Dm: [CheckSize]uint32{ + 0xb800000a, 0xc8000010, 0x2c000010, 0xf4000014, 0xb4000008, 0x08000000, + 0x9800000c, 0xd8000010, 0x08000010, 0xb8000010, 0x98000000, 0x60000000, + 0x00000008, 0xc0000000, 0x90000014, 0x10000010, 0xb8000014, 0x28000000, + 0x20000010, 0x48000000, 0x08000018, 0x60000000, 0x90000010, 0xf0000010, + 0x90000008, 0xc0000000, 0x90000010, 0xf0000010, 0xb0000008, 0x40000000, + 0x90000000, 0xf0000010, 0x90000018, 0x60000000, 0x90000010, 0x90000010, + 0x90000000, 0x80000000, 0x00000010, 0xa0000000, 0x20000000, 0xa0000000, + 0x20000010, 0x00000000, 0x20000010, 0x20000000, 0x00000010, 0x20000000, + 0x00000010, 0xa0000000, 0x00000000, 0x20000000, 0x20000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0x00000020, 0x00000001, + 0x40000002, 0x40000040, 0x40000002, 0x80000004, 0x80000080, 0x80000006, + 0x00000049, 0x00000103, 0x80000009, 0x80000012, 0x80000202, 0x00000018, + 0x00000164, 0x00000408, + }, + }, + { + DvType: 1, DvK: 48, DvB: 2, TestT: 58, MaskI: 0, MaskB: 8, + Dm: [CheckSize]uint32{ + 0xe000002a, 0x20000043, 0xb0000040, 0xd0000053, 0xd0000022, 0x20000000, + 0x60000032, 0x60000043, 0x20000040, 0xe0000042, 0x60000002, 0x80000001, + 0x00000020, 0x00000003, 0x40000052, 0x40000040, 0xe0000052, 0xa0000000, + 0x80000040, 0x20000001, 0x20000060, 0x80000001, 0x40000042, 0xc0000043, + 0x40000022, 0x00000003, 0x40000042, 0xc0000043, 0xc0000022, 0x00000001, + 0x40000002, 0xc0000043, 0x40000062, 0x80000001, 0x40000042, 0x40000042, + 0x40000002, 0x00000002, 0x00000040, 0x80000002, 0x80000000, 0x80000002, + 0x80000040, 0x00000000, 0x80000040, 0x80000000, 0x00000040, 0x80000000, + 0x00000040, 0x80000002, 0x00000000, 0x80000000, 0x80000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000004, 0x00000080, 0x00000004, + 0x00000009, 0x00000101, 0x00000009, 0x00000012, 0x00000202, 0x0000001a, + 0x00000124, 0x0000040c, 0x00000026, 0x0000004a, 0x0000080a, 0x00000060, + 0x00000590, 0x00001020}, + }, + { + DvType: 1, DvK: 49, DvB: 0, TestT: 58, MaskI: 0, MaskB: 9, + Dm: [CheckSize]uint32{ + 0x18000000, 0xb800000a, 0xc8000010, 0x2c000010, 0xf4000014, 0xb4000008, + 0x08000000, 0x9800000c, 0xd8000010, 0x08000010, 0xb8000010, 0x98000000, + 0x60000000, 0x00000008, 0xc0000000, 0x90000014, 0x10000010, 0xb8000014, + 0x28000000, 0x20000010, 0x48000000, 0x08000018, 0x60000000, 0x90000010, + 0xf0000010, 0x90000008, 0xc0000000, 0x90000010, 0xf0000010, 0xb0000008, + 0x40000000, 0x90000000, 0xf0000010, 0x90000018, 0x60000000, 0x90000010, + 0x90000010, 0x90000000, 0x80000000, 0x00000010, 0xa0000000, 0x20000000, + 0xa0000000, 0x20000010, 0x00000000, 0x20000010, 0x20000000, 0x00000010, + 0x20000000, 0x00000010, 0xa0000000, 0x00000000, 0x20000000, 0x20000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0x00000020, + 0x00000001, 0x40000002, 0x40000040, 0x40000002, 0x80000004, 0x80000080, + 0x80000006, 0x00000049, 0x00000103, 0x80000009, 0x80000012, 0x80000202, + 0x00000018, 0x00000164}, + }, + { + DvType: 1, DvK: 49, DvB: 2, TestT: 58, MaskI: 0, MaskB: 10, + Dm: [CheckSize]uint32{ + 0x60000000, 0xe000002a, 0x20000043, 0xb0000040, 0xd0000053, 0xd0000022, + 0x20000000, 0x60000032, 0x60000043, 0x20000040, 0xe0000042, 0x60000002, + 0x80000001, 0x00000020, 0x00000003, 0x40000052, 0x40000040, 0xe0000052, + 0xa0000000, 0x80000040, 0x20000001, 0x20000060, 0x80000001, 0x40000042, + 0xc0000043, 0x40000022, 0x00000003, 0x40000042, 0xc0000043, 0xc0000022, + 0x00000001, 0x40000002, 0xc0000043, 0x40000062, 0x80000001, 0x40000042, + 0x40000042, 0x40000002, 0x00000002, 0x00000040, 0x80000002, 0x80000000, + 0x80000002, 0x80000040, 0x00000000, 0x80000040, 0x80000000, 0x00000040, + 0x80000000, 0x00000040, 0x80000002, 0x00000000, 0x80000000, 0x80000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000004, 0x00000080, + 0x00000004, 0x00000009, 0x00000101, 0x00000009, 0x00000012, 0x00000202, + 0x0000001a, 0x00000124, 0x0000040c, 0x00000026, 0x0000004a, 0x0000080a, + 0x00000060, 0x00000590}, + }, + { + DvType: 1, DvK: 50, DvB: 0, TestT: 65, MaskI: 0, MaskB: 11, + Dm: [CheckSize]uint32{ + 0x0800000c, 0x18000000, 0xb800000a, 0xc8000010, 0x2c000010, 0xf4000014, + 0xb4000008, 0x08000000, 0x9800000c, 0xd8000010, 0x08000010, 0xb8000010, + 0x98000000, 0x60000000, 0x00000008, 0xc0000000, 0x90000014, 0x10000010, + 0xb8000014, 0x28000000, 0x20000010, 0x48000000, 0x08000018, 0x60000000, + 0x90000010, 0xf0000010, 0x90000008, 0xc0000000, 0x90000010, 0xf0000010, + 0xb0000008, 0x40000000, 0x90000000, 0xf0000010, 0x90000018, 0x60000000, + 0x90000010, 0x90000010, 0x90000000, 0x80000000, 0x00000010, 0xa0000000, + 0x20000000, 0xa0000000, 0x20000010, 0x00000000, 0x20000010, 0x20000000, + 0x00000010, 0x20000000, 0x00000010, 0xa0000000, 0x00000000, 0x20000000, + 0x20000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, + 0x00000020, 0x00000001, 0x40000002, 0x40000040, 0x40000002, 0x80000004, + 0x80000080, 0x80000006, 0x00000049, 0x00000103, 0x80000009, 0x80000012, + 0x80000202, 0x00000018, + }, + }, + { + DvType: 1, DvK: 50, DvB: 2, TestT: 65, MaskI: 0, MaskB: 12, + Dm: [CheckSize]uint32{ + 0x20000030, 0x60000000, 0xe000002a, 0x20000043, 0xb0000040, 0xd0000053, + 0xd0000022, 0x20000000, 0x60000032, 0x60000043, 0x20000040, 0xe0000042, + 0x60000002, 0x80000001, 0x00000020, 0x00000003, 0x40000052, 0x40000040, + 0xe0000052, 0xa0000000, 0x80000040, 0x20000001, 0x20000060, 0x80000001, + 0x40000042, 0xc0000043, 0x40000022, 0x00000003, 0x40000042, 0xc0000043, + 0xc0000022, 0x00000001, 0x40000002, 0xc0000043, 0x40000062, 0x80000001, + 0x40000042, 0x40000042, 0x40000002, 0x00000002, 0x00000040, 0x80000002, + 0x80000000, 0x80000002, 0x80000040, 0x00000000, 0x80000040, 0x80000000, + 0x00000040, 0x80000000, 0x00000040, 0x80000002, 0x00000000, 0x80000000, + 0x80000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000004, + 0x00000080, 0x00000004, 0x00000009, 0x00000101, 0x00000009, 0x00000012, + 0x00000202, 0x0000001a, 0x00000124, 0x0000040c, 0x00000026, 0x0000004a, + 0x0000080a, 0x00000060}, + }, + { + DvType: 1, DvK: 51, DvB: 0, TestT: 65, MaskI: 0, MaskB: 13, + Dm: [CheckSize]uint32{ + 0xe8000000, 0x0800000c, 0x18000000, 0xb800000a, 0xc8000010, 0x2c000010, + 0xf4000014, 0xb4000008, 0x08000000, 0x9800000c, 0xd8000010, 0x08000010, + 0xb8000010, 0x98000000, 0x60000000, 0x00000008, 0xc0000000, 0x90000014, + 0x10000010, 0xb8000014, 0x28000000, 0x20000010, 0x48000000, 0x08000018, + 0x60000000, 0x90000010, 0xf0000010, 0x90000008, 0xc0000000, 0x90000010, + 0xf0000010, 0xb0000008, 0x40000000, 0x90000000, 0xf0000010, 0x90000018, + 0x60000000, 0x90000010, 0x90000010, 0x90000000, 0x80000000, 0x00000010, + 0xa0000000, 0x20000000, 0xa0000000, 0x20000010, 0x00000000, 0x20000010, + 0x20000000, 0x00000010, 0x20000000, 0x00000010, 0xa0000000, 0x00000000, + 0x20000000, 0x20000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000001, 0x00000020, 0x00000001, 0x40000002, 0x40000040, 0x40000002, + 0x80000004, 0x80000080, 0x80000006, 0x00000049, 0x00000103, 0x80000009, + 0x80000012, 0x80000202}, + }, + { + DvType: 1, DvK: 51, DvB: 2, TestT: 65, MaskI: 0, MaskB: 14, + Dm: [CheckSize]uint32{ + 0xa0000003, 0x20000030, 0x60000000, 0xe000002a, 0x20000043, 0xb0000040, + 0xd0000053, 0xd0000022, 0x20000000, 0x60000032, 0x60000043, 0x20000040, + 0xe0000042, 0x60000002, 0x80000001, 0x00000020, 0x00000003, 0x40000052, + 0x40000040, 0xe0000052, 0xa0000000, 0x80000040, 0x20000001, 0x20000060, + 0x80000001, 0x40000042, 0xc0000043, 0x40000022, 0x00000003, 0x40000042, + 0xc0000043, 0xc0000022, 0x00000001, 0x40000002, 0xc0000043, 0x40000062, + 0x80000001, 0x40000042, 0x40000042, 0x40000002, 0x00000002, 0x00000040, + 0x80000002, 0x80000000, 0x80000002, 0x80000040, 0x00000000, 0x80000040, + 0x80000000, 0x00000040, 0x80000000, 0x00000040, 0x80000002, 0x00000000, + 0x80000000, 0x80000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000004, 0x00000080, 0x00000004, 0x00000009, 0x00000101, 0x00000009, + 0x00000012, 0x00000202, 0x0000001a, 0x00000124, 0x0000040c, 0x00000026, + 0x0000004a, 0x0000080a}, + }, + { + DvType: 1, DvK: 52, DvB: 0, TestT: 65, MaskI: 0, MaskB: 15, + Dm: [CheckSize]uint32{ + 0x04000010, 0xe8000000, 0x0800000c, 0x18000000, 0xb800000a, 0xc8000010, + 0x2c000010, 0xf4000014, 0xb4000008, 0x08000000, 0x9800000c, 0xd8000010, + 0x08000010, 0xb8000010, 0x98000000, 0x60000000, 0x00000008, 0xc0000000, + 0x90000014, 0x10000010, 0xb8000014, 0x28000000, 0x20000010, 0x48000000, + 0x08000018, 0x60000000, 0x90000010, 0xf0000010, 0x90000008, 0xc0000000, + 0x90000010, 0xf0000010, 0xb0000008, 0x40000000, 0x90000000, 0xf0000010, + 0x90000018, 0x60000000, 0x90000010, 0x90000010, 0x90000000, 0x80000000, + 0x00000010, 0xa0000000, 0x20000000, 0xa0000000, 0x20000010, 0x00000000, + 0x20000010, 0x20000000, 0x00000010, 0x20000000, 0x00000010, 0xa0000000, + 0x00000000, 0x20000000, 0x20000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000001, 0x00000020, 0x00000001, 0x40000002, 0x40000040, + 0x40000002, 0x80000004, 0x80000080, 0x80000006, 0x00000049, 0x00000103, + 0x80000009, 0x80000012}, + }, + { + DvType: 2, DvK: 45, DvB: 0, TestT: 58, MaskI: 0, MaskB: 16, + Dm: [CheckSize]uint32{ + 0xec000014, 0x0c000002, 0xc0000010, 0xb400001c, 0x2c000004, 0xbc000018, + 0xb0000010, 0x0000000c, 0xb8000010, 0x08000018, 0x78000010, 0x08000014, + 0x70000010, 0xb800001c, 0xe8000000, 0xb0000004, 0x58000010, 0xb000000c, + 0x48000000, 0xb0000000, 0xb8000010, 0x98000010, 0xa0000000, 0x00000000, + 0x00000000, 0x20000000, 0x80000000, 0x00000010, 0x00000000, 0x20000010, + 0x20000000, 0x00000010, 0x60000000, 0x00000018, 0xe0000000, 0x90000000, + 0x30000010, 0xb0000000, 0x20000000, 0x20000000, 0xa0000000, 0x00000010, + 0x80000000, 0x20000000, 0x20000000, 0x20000000, 0x80000000, 0x00000010, + 0x00000000, 0x20000010, 0xa0000000, 0x00000000, 0x20000000, 0x20000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000001, 0x00000020, 0x00000001, 0x40000002, 0x40000041, 0x40000022, + 0x80000005, 0xc0000082, 0xc0000046, 0x4000004b, 0x80000107, 0x00000089, + 0x00000014, 0x8000024b, 0x0000011b, 0x8000016d, 0x8000041a, 0x000002e4, + 0x80000054, 0x00000967}, + }, + { + DvType: 2, DvK: 46, DvB: 0, TestT: 58, MaskI: 0, MaskB: 17, + Dm: [CheckSize]uint32{ + 0x2400001c, 0xec000014, 0x0c000002, 0xc0000010, 0xb400001c, 0x2c000004, + 0xbc000018, 0xb0000010, 0x0000000c, 0xb8000010, 0x08000018, 0x78000010, + 0x08000014, 0x70000010, 0xb800001c, 0xe8000000, 0xb0000004, 0x58000010, + 0xb000000c, 0x48000000, 0xb0000000, 0xb8000010, 0x98000010, 0xa0000000, + 0x00000000, 0x00000000, 0x20000000, 0x80000000, 0x00000010, 0x00000000, + 0x20000010, 0x20000000, 0x00000010, 0x60000000, 0x00000018, 0xe0000000, + 0x90000000, 0x30000010, 0xb0000000, 0x20000000, 0x20000000, 0xa0000000, + 0x00000010, 0x80000000, 0x20000000, 0x20000000, 0x20000000, 0x80000000, + 0x00000010, 0x00000000, 0x20000010, 0xa0000000, 0x00000000, 0x20000000, + 0x20000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000001, 0x00000020, 0x00000001, 0x40000002, 0x40000041, + 0x40000022, 0x80000005, 0xc0000082, 0xc0000046, 0x4000004b, 0x80000107, + 0x00000089, 0x00000014, 0x8000024b, 0x0000011b, 0x8000016d, 0x8000041a, + 0x000002e4, 0x80000054}, + }, + { + DvType: 2, DvK: 46, DvB: 2, TestT: 58, MaskI: 0, MaskB: 18, + Dm: [CheckSize]uint32{ + 0x90000070, 0xb0000053, 0x30000008, 0x00000043, 0xd0000072, 0xb0000010, + 0xf0000062, 0xc0000042, 0x00000030, 0xe0000042, 0x20000060, 0xe0000041, + 0x20000050, 0xc0000041, 0xe0000072, 0xa0000003, 0xc0000012, 0x60000041, + 0xc0000032, 0x20000001, 0xc0000002, 0xe0000042, 0x60000042, 0x80000002, + 0x00000000, 0x00000000, 0x80000000, 0x00000002, 0x00000040, 0x00000000, + 0x80000040, 0x80000000, 0x00000040, 0x80000001, 0x00000060, 0x80000003, + 0x40000002, 0xc0000040, 0xc0000002, 0x80000000, 0x80000000, 0x80000002, + 0x00000040, 0x00000002, 0x80000000, 0x80000000, 0x80000000, 0x00000002, + 0x00000040, 0x00000000, 0x80000040, 0x80000002, 0x00000000, 0x80000000, + 0x80000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000004, 0x00000080, 0x00000004, 0x00000009, 0x00000105, + 0x00000089, 0x00000016, 0x0000020b, 0x0000011b, 0x0000012d, 0x0000041e, + 0x00000224, 0x00000050, 0x0000092e, 0x0000046c, 0x000005b6, 0x0000106a, + 0x00000b90, 0x00000152}, + }, + { + DvType: 2, DvK: 47, DvB: 0, TestT: 58, MaskI: 0, MaskB: 19, + Dm: [CheckSize]uint32{ + 0x20000010, 0x2400001c, 0xec000014, 0x0c000002, 0xc0000010, 0xb400001c, + 0x2c000004, 0xbc000018, 0xb0000010, 0x0000000c, 0xb8000010, 0x08000018, + 0x78000010, 0x08000014, 0x70000010, 0xb800001c, 0xe8000000, 0xb0000004, + 0x58000010, 0xb000000c, 0x48000000, 0xb0000000, 0xb8000010, 0x98000010, + 0xa0000000, 0x00000000, 0x00000000, 0x20000000, 0x80000000, 0x00000010, + 0x00000000, 0x20000010, 0x20000000, 0x00000010, 0x60000000, 0x00000018, + 0xe0000000, 0x90000000, 0x30000010, 0xb0000000, 0x20000000, 0x20000000, + 0xa0000000, 0x00000010, 0x80000000, 0x20000000, 0x20000000, 0x20000000, + 0x80000000, 0x00000010, 0x00000000, 0x20000010, 0xa0000000, 0x00000000, + 0x20000000, 0x20000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000001, 0x00000020, 0x00000001, 0x40000002, + 0x40000041, 0x40000022, 0x80000005, 0xc0000082, 0xc0000046, 0x4000004b, + 0x80000107, 0x00000089, 0x00000014, 0x8000024b, 0x0000011b, 0x8000016d, + 0x8000041a, 0x000002e4}, + }, + { + DvType: 2, DvK: 48, DvB: 0, TestT: 58, MaskI: 0, MaskB: 20, + Dm: [CheckSize]uint32{ + 0xbc00001a, 0x20000010, 0x2400001c, 0xec000014, 0x0c000002, 0xc0000010, + 0xb400001c, 0x2c000004, 0xbc000018, 0xb0000010, 0x0000000c, 0xb8000010, + 0x08000018, 0x78000010, 0x08000014, 0x70000010, 0xb800001c, 0xe8000000, + 0xb0000004, 0x58000010, 0xb000000c, 0x48000000, 0xb0000000, 0xb8000010, + 0x98000010, 0xa0000000, 0x00000000, 0x00000000, 0x20000000, 0x80000000, + 0x00000010, 0x00000000, 0x20000010, 0x20000000, 0x00000010, 0x60000000, + 0x00000018, 0xe0000000, 0x90000000, 0x30000010, 0xb0000000, 0x20000000, + 0x20000000, 0xa0000000, 0x00000010, 0x80000000, 0x20000000, 0x20000000, + 0x20000000, 0x80000000, 0x00000010, 0x00000000, 0x20000010, 0xa0000000, + 0x00000000, 0x20000000, 0x20000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0x00000020, 0x00000001, + 0x40000002, 0x40000041, 0x40000022, 0x80000005, 0xc0000082, 0xc0000046, + 0x4000004b, 0x80000107, 0x00000089, 0x00000014, 0x8000024b, 0x0000011b, + 0x8000016d, 0x8000041a}, + }, + { + DvType: 2, DvK: 49, DvB: 0, TestT: 58, MaskI: 0, MaskB: 21, + Dm: [CheckSize]uint32{ + 0x3c000004, 0xbc00001a, 0x20000010, 0x2400001c, 0xec000014, 0x0c000002, + 0xc0000010, 0xb400001c, 0x2c000004, 0xbc000018, 0xb0000010, 0x0000000c, + 0xb8000010, 0x08000018, 0x78000010, 0x08000014, 0x70000010, 0xb800001c, + 0xe8000000, 0xb0000004, 0x58000010, 0xb000000c, 0x48000000, 0xb0000000, + 0xb8000010, 0x98000010, 0xa0000000, 0x00000000, 0x00000000, 0x20000000, + 0x80000000, 0x00000010, 0x00000000, 0x20000010, 0x20000000, 0x00000010, + 0x60000000, 0x00000018, 0xe0000000, 0x90000000, 0x30000010, 0xb0000000, + 0x20000000, 0x20000000, 0xa0000000, 0x00000010, 0x80000000, 0x20000000, + 0x20000000, 0x20000000, 0x80000000, 0x00000010, 0x00000000, 0x20000010, + 0xa0000000, 0x00000000, 0x20000000, 0x20000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0x00000020, + 0x00000001, 0x40000002, 0x40000041, 0x40000022, 0x80000005, 0xc0000082, + 0xc0000046, 0x4000004b, 0x80000107, 0x00000089, 0x00000014, 0x8000024b, + 0x0000011b, 0x8000016d}, + }, + { + DvType: 2, DvK: 49, DvB: 2, TestT: 58, MaskI: 0, MaskB: 22, + Dm: [CheckSize]uint32{ + 0xf0000010, 0xf000006a, 0x80000040, 0x90000070, 0xb0000053, 0x30000008, + 0x00000043, 0xd0000072, 0xb0000010, 0xf0000062, 0xc0000042, 0x00000030, + 0xe0000042, 0x20000060, 0xe0000041, 0x20000050, 0xc0000041, 0xe0000072, + 0xa0000003, 0xc0000012, 0x60000041, 0xc0000032, 0x20000001, 0xc0000002, + 0xe0000042, 0x60000042, 0x80000002, 0x00000000, 0x00000000, 0x80000000, + 0x00000002, 0x00000040, 0x00000000, 0x80000040, 0x80000000, 0x00000040, + 0x80000001, 0x00000060, 0x80000003, 0x40000002, 0xc0000040, 0xc0000002, + 0x80000000, 0x80000000, 0x80000002, 0x00000040, 0x00000002, 0x80000000, + 0x80000000, 0x80000000, 0x00000002, 0x00000040, 0x00000000, 0x80000040, + 0x80000002, 0x00000000, 0x80000000, 0x80000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000004, 0x00000080, + 0x00000004, 0x00000009, 0x00000105, 0x00000089, 0x00000016, 0x0000020b, + 0x0000011b, 0x0000012d, 0x0000041e, 0x00000224, 0x00000050, 0x0000092e, + 0x0000046c, 0x000005b6}, + }, + { + DvType: 2, DvK: 50, DvB: 0, TestT: 65, MaskI: 0, MaskB: 23, + Dm: [CheckSize]uint32{ + 0xb400001c, 0x3c000004, 0xbc00001a, 0x20000010, 0x2400001c, 0xec000014, + 0x0c000002, 0xc0000010, 0xb400001c, 0x2c000004, 0xbc000018, 0xb0000010, + 0x0000000c, 0xb8000010, 0x08000018, 0x78000010, 0x08000014, 0x70000010, + 0xb800001c, 0xe8000000, 0xb0000004, 0x58000010, 0xb000000c, 0x48000000, + 0xb0000000, 0xb8000010, 0x98000010, 0xa0000000, 0x00000000, 0x00000000, + 0x20000000, 0x80000000, 0x00000010, 0x00000000, 0x20000010, 0x20000000, + 0x00000010, 0x60000000, 0x00000018, 0xe0000000, 0x90000000, 0x30000010, + 0xb0000000, 0x20000000, 0x20000000, 0xa0000000, 0x00000010, 0x80000000, + 0x20000000, 0x20000000, 0x20000000, 0x80000000, 0x00000010, 0x00000000, + 0x20000010, 0xa0000000, 0x00000000, 0x20000000, 0x20000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, + 0x00000020, 0x00000001, 0x40000002, 0x40000041, 0x40000022, 0x80000005, + 0xc0000082, 0xc0000046, 0x4000004b, 0x80000107, 0x00000089, 0x00000014, + 0x8000024b, 0x0000011b}, + }, + { + DvType: 2, DvK: 50, DvB: 2, TestT: 65, MaskI: 0, MaskB: 24, + Dm: [CheckSize]uint32{ + 0xd0000072, 0xf0000010, 0xf000006a, 0x80000040, 0x90000070, 0xb0000053, + 0x30000008, 0x00000043, 0xd0000072, 0xb0000010, 0xf0000062, 0xc0000042, + 0x00000030, 0xe0000042, 0x20000060, 0xe0000041, 0x20000050, 0xc0000041, + 0xe0000072, 0xa0000003, 0xc0000012, 0x60000041, 0xc0000032, 0x20000001, + 0xc0000002, 0xe0000042, 0x60000042, 0x80000002, 0x00000000, 0x00000000, + 0x80000000, 0x00000002, 0x00000040, 0x00000000, 0x80000040, 0x80000000, + 0x00000040, 0x80000001, 0x00000060, 0x80000003, 0x40000002, 0xc0000040, + 0xc0000002, 0x80000000, 0x80000000, 0x80000002, 0x00000040, 0x00000002, + 0x80000000, 0x80000000, 0x80000000, 0x00000002, 0x00000040, 0x00000000, + 0x80000040, 0x80000002, 0x00000000, 0x80000000, 0x80000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000004, + 0x00000080, 0x00000004, 0x00000009, 0x00000105, 0x00000089, 0x00000016, + 0x0000020b, 0x0000011b, 0x0000012d, 0x0000041e, 0x00000224, 0x00000050, + 0x0000092e, 0x0000046c}, + }, + { + DvType: 2, DvK: 51, DvB: 0, TestT: 65, MaskI: 0, MaskB: 25, + Dm: [CheckSize]uint32{ + 0xc0000010, 0xb400001c, 0x3c000004, 0xbc00001a, 0x20000010, 0x2400001c, + 0xec000014, 0x0c000002, 0xc0000010, 0xb400001c, 0x2c000004, 0xbc000018, + 0xb0000010, 0x0000000c, 0xb8000010, 0x08000018, 0x78000010, 0x08000014, + 0x70000010, 0xb800001c, 0xe8000000, 0xb0000004, 0x58000010, 0xb000000c, + 0x48000000, 0xb0000000, 0xb8000010, 0x98000010, 0xa0000000, 0x00000000, + 0x00000000, 0x20000000, 0x80000000, 0x00000010, 0x00000000, 0x20000010, + 0x20000000, 0x00000010, 0x60000000, 0x00000018, 0xe0000000, 0x90000000, + 0x30000010, 0xb0000000, 0x20000000, 0x20000000, 0xa0000000, 0x00000010, + 0x80000000, 0x20000000, 0x20000000, 0x20000000, 0x80000000, 0x00000010, + 0x00000000, 0x20000010, 0xa0000000, 0x00000000, 0x20000000, 0x20000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000001, 0x00000020, 0x00000001, 0x40000002, 0x40000041, 0x40000022, + 0x80000005, 0xc0000082, 0xc0000046, 0x4000004b, 0x80000107, 0x00000089, + 0x00000014, 0x8000024b}, + }, + { + DvType: 2, DvK: 51, DvB: 2, TestT: 65, MaskI: 0, MaskB: 26, + Dm: [CheckSize]uint32{ + 0x00000043, 0xd0000072, 0xf0000010, 0xf000006a, 0x80000040, 0x90000070, + 0xb0000053, 0x30000008, 0x00000043, 0xd0000072, 0xb0000010, 0xf0000062, + 0xc0000042, 0x00000030, 0xe0000042, 0x20000060, 0xe0000041, 0x20000050, + 0xc0000041, 0xe0000072, 0xa0000003, 0xc0000012, 0x60000041, 0xc0000032, + 0x20000001, 0xc0000002, 0xe0000042, 0x60000042, 0x80000002, 0x00000000, + 0x00000000, 0x80000000, 0x00000002, 0x00000040, 0x00000000, 0x80000040, + 0x80000000, 0x00000040, 0x80000001, 0x00000060, 0x80000003, 0x40000002, + 0xc0000040, 0xc0000002, 0x80000000, 0x80000000, 0x80000002, 0x00000040, + 0x00000002, 0x80000000, 0x80000000, 0x80000000, 0x00000002, 0x00000040, + 0x00000000, 0x80000040, 0x80000002, 0x00000000, 0x80000000, 0x80000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000004, 0x00000080, 0x00000004, 0x00000009, 0x00000105, 0x00000089, + 0x00000016, 0x0000020b, 0x0000011b, 0x0000012d, 0x0000041e, 0x00000224, + 0x00000050, 0x0000092e}, + }, + { + DvType: 2, DvK: 52, DvB: 0, TestT: 65, MaskI: 0, MaskB: 27, + Dm: [CheckSize]uint32{ + 0x0c000002, 0xc0000010, 0xb400001c, 0x3c000004, 0xbc00001a, 0x20000010, + 0x2400001c, 0xec000014, 0x0c000002, 0xc0000010, 0xb400001c, 0x2c000004, + 0xbc000018, 0xb0000010, 0x0000000c, 0xb8000010, 0x08000018, 0x78000010, + 0x08000014, 0x70000010, 0xb800001c, 0xe8000000, 0xb0000004, 0x58000010, + 0xb000000c, 0x48000000, 0xb0000000, 0xb8000010, 0x98000010, 0xa0000000, + 0x00000000, 0x00000000, 0x20000000, 0x80000000, 0x00000010, 0x00000000, + 0x20000010, 0x20000000, 0x00000010, 0x60000000, 0x00000018, 0xe0000000, + 0x90000000, 0x30000010, 0xb0000000, 0x20000000, 0x20000000, 0xa0000000, + 0x00000010, 0x80000000, 0x20000000, 0x20000000, 0x20000000, 0x80000000, + 0x00000010, 0x00000000, 0x20000010, 0xa0000000, 0x00000000, 0x20000000, + 0x20000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000001, 0x00000020, 0x00000001, 0x40000002, 0x40000041, + 0x40000022, 0x80000005, 0xc0000082, 0xc0000046, 0x4000004b, 0x80000107, + 0x00000089, 0x00000014}, + }, + { + DvType: 2, DvK: 53, DvB: 0, TestT: 65, MaskI: 0, MaskB: 28, + Dm: [CheckSize]uint32{ + 0xcc000014, 0x0c000002, 0xc0000010, 0xb400001c, 0x3c000004, 0xbc00001a, + 0x20000010, 0x2400001c, 0xec000014, 0x0c000002, 0xc0000010, 0xb400001c, + 0x2c000004, 0xbc000018, 0xb0000010, 0x0000000c, 0xb8000010, 0x08000018, + 0x78000010, 0x08000014, 0x70000010, 0xb800001c, 0xe8000000, 0xb0000004, + 0x58000010, 0xb000000c, 0x48000000, 0xb0000000, 0xb8000010, 0x98000010, + 0xa0000000, 0x00000000, 0x00000000, 0x20000000, 0x80000000, 0x00000010, + 0x00000000, 0x20000010, 0x20000000, 0x00000010, 0x60000000, 0x00000018, + 0xe0000000, 0x90000000, 0x30000010, 0xb0000000, 0x20000000, 0x20000000, + 0xa0000000, 0x00000010, 0x80000000, 0x20000000, 0x20000000, 0x20000000, + 0x80000000, 0x00000010, 0x00000000, 0x20000010, 0xa0000000, 0x00000000, + 0x20000000, 0x20000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000001, 0x00000020, 0x00000001, 0x40000002, + 0x40000041, 0x40000022, 0x80000005, 0xc0000082, 0xc0000046, 0x4000004b, + 0x80000107, 0x00000089}, + }, + { + DvType: 2, DvK: 54, DvB: 0, TestT: 65, MaskI: 0, MaskB: 29, + Dm: [CheckSize]uint32{ + 0x0400001c, 0xcc000014, 0x0c000002, 0xc0000010, 0xb400001c, 0x3c000004, + 0xbc00001a, 0x20000010, 0x2400001c, 0xec000014, 0x0c000002, 0xc0000010, + 0xb400001c, 0x2c000004, 0xbc000018, 0xb0000010, 0x0000000c, 0xb8000010, + 0x08000018, 0x78000010, 0x08000014, 0x70000010, 0xb800001c, 0xe8000000, + 0xb0000004, 0x58000010, 0xb000000c, 0x48000000, 0xb0000000, 0xb8000010, + 0x98000010, 0xa0000000, 0x00000000, 0x00000000, 0x20000000, 0x80000000, + 0x00000010, 0x00000000, 0x20000010, 0x20000000, 0x00000010, 0x60000000, + 0x00000018, 0xe0000000, 0x90000000, 0x30000010, 0xb0000000, 0x20000000, + 0x20000000, 0xa0000000, 0x00000010, 0x80000000, 0x20000000, 0x20000000, + 0x20000000, 0x80000000, 0x00000010, 0x00000000, 0x20000010, 0xa0000000, + 0x00000000, 0x20000000, 0x20000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0x00000020, 0x00000001, + 0x40000002, 0x40000041, 0x40000022, 0x80000005, 0xc0000082, 0xc0000046, + 0x4000004b, 0x80000107}, + }, + { + DvType: 2, DvK: 55, DvB: 0, TestT: 65, MaskI: 0, MaskB: 30, + Dm: [CheckSize]uint32{ + 0x00000010, 0x0400001c, 0xcc000014, 0x0c000002, 0xc0000010, 0xb400001c, + 0x3c000004, 0xbc00001a, 0x20000010, 0x2400001c, 0xec000014, 0x0c000002, + 0xc0000010, 0xb400001c, 0x2c000004, 0xbc000018, 0xb0000010, 0x0000000c, + 0xb8000010, 0x08000018, 0x78000010, 0x08000014, 0x70000010, 0xb800001c, + 0xe8000000, 0xb0000004, 0x58000010, 0xb000000c, 0x48000000, 0xb0000000, + 0xb8000010, 0x98000010, 0xa0000000, 0x00000000, 0x00000000, 0x20000000, + 0x80000000, 0x00000010, 0x00000000, 0x20000010, 0x20000000, 0x00000010, + 0x60000000, 0x00000018, 0xe0000000, 0x90000000, 0x30000010, 0xb0000000, + 0x20000000, 0x20000000, 0xa0000000, 0x00000010, 0x80000000, 0x20000000, + 0x20000000, 0x20000000, 0x80000000, 0x00000010, 0x00000000, 0x20000010, + 0xa0000000, 0x00000000, 0x20000000, 0x20000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0x00000020, + 0x00000001, 0x40000002, 0x40000041, 0x40000022, 0x80000005, 0xc0000082, + 0xc0000046, 0x4000004b}, + }, + { + DvType: 2, DvK: 56, DvB: 0, TestT: 65, MaskI: 0, MaskB: 31, + Dm: [CheckSize]uint32{ + 0x2600001a, 0x00000010, 0x0400001c, 0xcc000014, 0x0c000002, 0xc0000010, + 0xb400001c, 0x3c000004, 0xbc00001a, 0x20000010, 0x2400001c, 0xec000014, + 0x0c000002, 0xc0000010, 0xb400001c, 0x2c000004, 0xbc000018, 0xb0000010, + 0x0000000c, 0xb8000010, 0x08000018, 0x78000010, 0x08000014, 0x70000010, + 0xb800001c, 0xe8000000, 0xb0000004, 0x58000010, 0xb000000c, 0x48000000, + 0xb0000000, 0xb8000010, 0x98000010, 0xa0000000, 0x00000000, 0x00000000, + 0x20000000, 0x80000000, 0x00000010, 0x00000000, 0x20000010, 0x20000000, + 0x00000010, 0x60000000, 0x00000018, 0xe0000000, 0x90000000, 0x30000010, + 0xb0000000, 0x20000000, 0x20000000, 0xa0000000, 0x00000010, 0x80000000, + 0x20000000, 0x20000000, 0x20000000, 0x80000000, 0x00000010, 0x00000000, + 0x20000010, 0xa0000000, 0x00000000, 0x20000000, 0x20000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, + 0x00000020, 0x00000001, 0x40000002, 0x40000041, 0x40000022, 0x80000005, + 0xc0000082, 0xc0000046}, + }, + { + DvType: 0, DvK: 0, DvB: 0, TestT: 0, MaskI: 0, MaskB: 0, + Dm: [CheckSize]uint32{ + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0}, + }, +} diff --git a/vendor/github.com/pjbgf/sha1cd/ubc/doc.go b/vendor/github.com/pjbgf/sha1cd/ubc/doc.go new file mode 100644 index 0000000000..0090e36b90 --- /dev/null +++ b/vendor/github.com/pjbgf/sha1cd/ubc/doc.go @@ -0,0 +1,3 @@ +// ubc package provides ways for SHA1 blocks to be checked for +// Unavoidable Bit Conditions that arise from crypto analysis attacks. +package ubc diff --git a/vendor/github.com/skeema/knownhosts/LICENSE b/vendor/github.com/skeema/knownhosts/LICENSE new file mode 100644 index 0000000000..8dada3edaf --- /dev/null +++ b/vendor/github.com/skeema/knownhosts/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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You may reproduce and distribute copies of the + Work or Derivative Works thereof in any medium, with or without + modifications, and in Source or Object form, provided that You + meet the following conditions: + + (a) You must give any other recipients of the Work or + Derivative Works a copy of this License; and + + (b) You must cause any modified files to carry prominent notices + stating that You changed the files; and + + (c) You must retain, in the Source form of any Derivative Works + that You distribute, all copyright, patent, trademark, and + attribution notices from the Source form of the Work, + excluding those notices that do not pertain to any part of + the Derivative Works; and + + (d) If the Work includes a "NOTICE" text file as part of its + distribution, then any Derivative Works that You distribute must + include a readable copy of the attribution notices contained + within such NOTICE file, excluding those notices that do not + pertain to any part of the Derivative Works, in at least one + of the following places: within a NOTICE text file distributed + as part of the Derivative Works; within the Source form or + documentation, if provided along with the Derivative Works; or, + within a display generated by the Derivative Works, if and + wherever such third-party notices normally appear. The contents + of the NOTICE file are for informational purposes only and + do not modify the License. You may add Your own attribution + notices within Derivative Works that You distribute, alongside + or as an addendum to the NOTICE text from the Work, provided + that such additional attribution notices cannot be construed + as modifying the License. + + You may add Your own copyright statement to Your modifications and + may provide additional or different license terms and conditions + for use, reproduction, or distribution of Your modifications, or + for any such Derivative Works as a whole, provided Your use, + reproduction, and distribution of the Work otherwise complies with + the conditions stated in this License. + + 5. Submission of Contributions. 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In no event and under no legal theory, + whether in tort (including negligence), contract, or otherwise, + unless required by applicable law (such as deliberate and grossly + negligent acts) or agreed to in writing, shall any Contributor be + liable to You for damages, including any direct, indirect, special, + incidental, or consequential damages of any character arising as a + result of this License or out of the use or inability to use the + Work (including but not limited to damages for loss of goodwill, + work stoppage, computer failure or malfunction, or any and all + other commercial damages or losses), even if such Contributor + has been advised of the possibility of such damages. + + 9. Accepting Warranty or Additional Liability. While redistributing + the Work or Derivative Works thereof, You may choose to offer, + and charge a fee for, acceptance of support, warranty, indemnity, + or other liability obligations and/or rights consistent with this + License. However, in accepting such obligations, You may act only + on Your own behalf and on Your sole responsibility, not on behalf + of any other Contributor, and only if You agree to indemnify, + defend, and hold each Contributor harmless for any liability + incurred by, or claims asserted against, such Contributor by reason + of your accepting any such warranty or additional liability. + + END OF TERMS AND CONDITIONS + + APPENDIX: How to apply the Apache License to your work. + + To apply the Apache License to your work, attach the following + boilerplate notice, with the fields enclosed by brackets "{}" + replaced with your own identifying information. (Don't include + the brackets!) The text should be enclosed in the appropriate + comment syntax for the file format. We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright {yyyy} {name of copyright owner} + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/vendor/github.com/skeema/knownhosts/NOTICE b/vendor/github.com/skeema/knownhosts/NOTICE new file mode 100644 index 0000000000..12db8fc650 --- /dev/null +++ b/vendor/github.com/skeema/knownhosts/NOTICE @@ -0,0 +1,13 @@ +Copyright 2022 Skeema LLC + +Licensed under the Apache License, Version 2.0 (the "License"); +you may not use this file except in compliance with the License. +You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + +Unless required by applicable law or agreed to in writing, software +distributed under the License is distributed on an "AS IS" BASIS, +WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +See the License for the specific language governing permissions and +limitations under the License. diff --git a/vendor/github.com/skeema/knownhosts/README.md b/vendor/github.com/skeema/knownhosts/README.md new file mode 100644 index 0000000000..23ac9e337b --- /dev/null +++ b/vendor/github.com/skeema/knownhosts/README.md @@ -0,0 +1,99 @@ +# knownhosts: enhanced Golang SSH known_hosts management + +[![build status](https://img.shields.io/github/workflow/status/skeema/knownhosts/Tests/main)](https://github.com/skeema/knownhosts/actions) +[![godoc](https://img.shields.io/badge/godoc-reference-blue.svg)](https://pkg.go.dev/github.com/skeema/knownhosts) + + +> This repo is brought to you by [Skeema](https://github.com/skeema/skeema), a +> declarative pure-SQL schema management system for MySQL and MariaDB. Our +> premium products include extensive [SSH tunnel](https://www.skeema.io/docs/options/#ssh) +> functionality, which internally makes use of this package. + +Go provides excellent functionality for OpenSSH known_hosts files in its +external package [golang.org/x/crypto/ssh/knownhosts](https://pkg.go.dev/golang.org/x/crypto/ssh/knownhosts). +However, that package is somewhat low-level, making it difficult to implement full known_hosts management similar to command-line `ssh`'s behavior for `StrictHostKeyChecking=no` configuration. + +This repo ([github.com/skeema/knownhosts](https://github.com/skeema/knownhosts)) is a thin wrapper package around [golang.org/x/crypto/ssh/knownhosts](https://pkg.go.dev/golang.org/x/crypto/ssh/knownhosts), adding functions which provide the following functionality: + +* Look up known_hosts public keys for any given host +* Auto-populate ssh.ClientConfig.HostKeyAlgorithms easily based on known_hosts +* Write new known_hosts entries to an io.Writer +* Determine if an ssh.HostKeyCallback's error corresponds to a host whose key has changed (indicating potential MitM attack) vs a host that just isn't known yet + +## How host key lookup works + +Although [golang.org/x/crypto/ssh/knownhosts](https://pkg.go.dev/golang.org/x/crypto/ssh/knownhosts) doesn't directly expose a way to query its known_host map, we use a subtle trick to do so: invoke the HostKeyCallback with a valid host but a bogus key. The resulting KeyError allows us to determine which public keys are actually present for that host. + +By using this technique, [github.com/skeema/knownhosts](https://github.com/skeema/knownhosts) doesn't need to duplicate or re-implement any of the actual known_hosts management from [golang.org/x/crypto/ssh/knownhosts](https://pkg.go.dev/golang.org/x/crypto/ssh/knownhosts). + +## Populating ssh.ClientConfig.HostKeyAlgorithms based on known_hosts + +Hosts often have multiple public keys, each of a different type (algorithm). This can be [problematic](https://github.com/golang/go/issues/29286) in [golang.org/x/crypto/ssh/knownhosts](https://pkg.go.dev/golang.org/x/crypto/ssh/knownhosts): if a host's first public key is *not* in known_hosts, but a key of a different type *is*, the HostKeyCallback returns an error. The solution is to populate `ssh.ClientConfig.HostKeyAlgorithms` based on the algorithms of the known_hosts entries for that host, but +[golang.org/x/crypto/ssh/knownhosts](https://pkg.go.dev/golang.org/x/crypto/ssh/knownhosts) +does not provide an obvious way to do so. + +This package uses its host key lookup trick in order to make ssh.ClientConfig.HostKeyAlgorithms easy to populate: + +```golang +import ( + "golang.org/x/crypto/ssh" + "github.com/skeema/knownhosts" +) + +func sshConfigForHost(hostWithPort string) (*ssh.ClientConfig, error) { + kh, err := knownhosts.New("/home/myuser/.ssh/known_hosts") + if err != nil { + return nil, err + } + config := &ssh.ClientConfig{ + User: "myuser", + Auth: []ssh.AuthMethod{ /* ... */ }, + HostKeyCallback: kh.HostKeyCallback(), // or, equivalently, use ssh.HostKeyCallback(kh) + HostKeyAlgorithms: kh.HostKeyAlgorithms(hostWithPort), + } + return config, nil +} +``` + +## Writing new known_hosts entries + +If you wish to mimic the behavior of OpenSSH's `StrictHostKeyChecking=no` or `StrictHostKeyChecking=ask`, this package provides a few functions to simplify this task. For example: + +```golang +sshHost := "yourserver.com:22" +khPath := "/home/myuser/.ssh/known_hosts" +kh, err := knownhosts.New(khPath) +if err != nil { + log.Fatal("Failed to read known_hosts: ", err) +} + +// Create a custom permissive hostkey callback which still errors on hosts +// with changed keys, but allows unknown hosts and adds them to known_hosts +cb := ssh.HostKeyCallback(func(hostname string, remote net.Addr, key ssh.PublicKey) error { + err := kh(hostname, remote, key) + if knownhosts.IsHostKeyChanged(err) { + return fmt.Errorf("REMOTE HOST IDENTIFICATION HAS CHANGED for host %s! This may indicate a MitM attack.", hostname) + } else if knownhosts.IsHostUnknown(err) { + f, ferr := os.OpenFile(khPath, os.O_APPEND|os.O_WRONLY, 0600) + if ferr == nil { + defer f.Close() + ferr = knownhosts.WriteKnownHost(f, hostname, remote, key) + } + if ferr == nil { + log.Printf("Added host %s to known_hosts\n", hostname) + } else { + log.Printf("Failed to add host %s to known_hosts: %v\n", hostname, ferr) + } + return nil // permit previously-unknown hosts (warning: may be insecure) + } + return err +}) + +config := &ssh.ClientConfig{ + User: "myuser", + Auth: []ssh.AuthMethod{ /* ... */ }, + HostKeyCallback: cb, + HostKeyAlgorithms: kh.HostKeyAlgorithms(sshHost), +} +``` + diff --git a/vendor/github.com/skeema/knownhosts/knownhosts.go b/vendor/github.com/skeema/knownhosts/knownhosts.go new file mode 100644 index 0000000000..be3047c6e5 --- /dev/null +++ b/vendor/github.com/skeema/knownhosts/knownhosts.go @@ -0,0 +1,132 @@ +// Package knownhosts is a thin wrapper around golang.org/x/crypto/ssh/knownhosts, +// adding the ability to obtain the list of host key algorithms for a known host. +package knownhosts + +import ( + "errors" + "io" + "net" + "sort" + + "golang.org/x/crypto/ssh" + xknownhosts "golang.org/x/crypto/ssh/knownhosts" +) + +// HostKeyCallback wraps ssh.HostKeyCallback with an additional method to +// perform host key algorithm lookups from the known_hosts entries. +type HostKeyCallback ssh.HostKeyCallback + +// New creates a host key callback from the given OpenSSH host key files. The +// returned value may be used in ssh.ClientConfig.HostKeyCallback by casting it +// to ssh.HostKeyCallback, or using its HostKeyCallback method. Otherwise, it +// operates the same as the New function in golang.org/x/crypto/ssh/knownhosts. +func New(files ...string) (HostKeyCallback, error) { + cb, err := xknownhosts.New(files...) + return HostKeyCallback(cb), err +} + +// HostKeyCallback simply casts the receiver back to ssh.HostKeyCallback, for +// use in ssh.ClientConfig.HostKeyCallback. +func (hkcb HostKeyCallback) HostKeyCallback() ssh.HostKeyCallback { + return ssh.HostKeyCallback(hkcb) +} + +// HostKeys returns a slice of known host public keys for the supplied host:port +// found in the known_hosts file(s), or an empty slice if the host is not +// already known. For hosts that have multiple known_hosts entries (for +// different key types), the result will be sorted by known_hosts filename and +// line number. +func (hkcb HostKeyCallback) HostKeys(hostWithPort string) (keys []ssh.PublicKey) { + var keyErr *xknownhosts.KeyError + placeholderAddr := &net.TCPAddr{IP: []byte{0, 0, 0, 0}} + placeholderPubKey := &fakePublicKey{} + var kkeys []xknownhosts.KnownKey + if hkcbErr := hkcb(hostWithPort, placeholderAddr, placeholderPubKey); errors.As(hkcbErr, &keyErr) { + for _, knownKey := range keyErr.Want { + kkeys = append(kkeys, knownKey) + } + knownKeyLess := func(i, j int) bool { + if kkeys[i].Filename < kkeys[j].Filename { + return true + } + return (kkeys[i].Filename == kkeys[j].Filename && kkeys[i].Line < kkeys[j].Line) + } + sort.Slice(kkeys, knownKeyLess) + keys = make([]ssh.PublicKey, len(kkeys)) + for n := range kkeys { + keys[n] = kkeys[n].Key + } + } + return keys +} + +// HostKeyAlgorithms returns a slice of host key algorithms for the supplied +// host:port found in the known_hosts file(s), or an empty slice if the host +// is not already known. The result may be used in ssh.ClientConfig's +// HostKeyAlgorithms field, either as-is or after filtering (if you wish to +// ignore or prefer particular algorithms). For hosts that have multiple +// known_hosts entries (for different key types), the result will be sorted by +// known_hosts filename and line number. +func (hkcb HostKeyCallback) HostKeyAlgorithms(hostWithPort string) (algos []string) { + for _, key := range hkcb.HostKeys(hostWithPort) { + algos = append(algos, key.Type()) + } + return algos +} + +// HostKeyAlgorithms is a convenience function for performing host key algorithm +// lookups on an ssh.HostKeyCallback directly. It is intended for use in code +// paths that stay with the New method of golang.org/x/crypto/ssh/knownhosts +// rather than this package's New method. +func HostKeyAlgorithms(cb ssh.HostKeyCallback, hostWithPort string) []string { + return HostKeyCallback(cb).HostKeyAlgorithms(hostWithPort) +} + +// IsHostKeyChanged returns a boolean indicating whether the error indicates +// the host key has changed. It is intended to be called on the error returned +// from invoking a HostKeyCallback to check whether an SSH host is known. +func IsHostKeyChanged(err error) bool { + var keyErr *xknownhosts.KeyError + return errors.As(err, &keyErr) && len(keyErr.Want) > 0 +} + +// IsHostUnknown returns a boolean indicating whether the error represents an +// unknown host. It is intended to be called on the error returned from invoking +// a HostKeyCallback to check whether an SSH host is known. +func IsHostUnknown(err error) bool { + var keyErr *xknownhosts.KeyError + return errors.As(err, &keyErr) && len(keyErr.Want) == 0 +} + +// WriteKnownHost writes a known_hosts line to writer for the supplied hostname, +// remote, and key. This is useful when writing a custom hostkey callback which +// wraps a callback obtained from knownhosts.New to provide additional +// known_hosts management functionality. The hostname, remote, and key typically +// correspond to the callback's args. +func WriteKnownHost(w io.Writer, hostname string, remote net.Addr, key ssh.PublicKey) error { + // Always include hostname; only also include remote if it isn't a zero value + // and doesn't normalize to the same string as hostname. + addresses := []string{hostname} + remoteStr := remote.String() + remoteStrNormalized := xknownhosts.Normalize(remoteStr) + if remoteStrNormalized != "[0.0.0.0]:0" && remoteStrNormalized != xknownhosts.Normalize(hostname) { + addresses = append(addresses, remoteStr) + } + line := xknownhosts.Line(addresses, key) + "\n" + _, err := w.Write([]byte(line)) + return err +} + +// fakePublicKey is used as part of the work-around for +// https://github.com/golang/go/issues/29286 +type fakePublicKey struct{} + +func (fakePublicKey) Type() string { + return "fake-public-key" +} +func (fakePublicKey) Marshal() []byte { + return []byte("fake public key") +} +func (fakePublicKey) Verify(_ []byte, _ *ssh.Signature) error { + return errors.New("Verify called on placeholder key") +} diff --git a/vendor/github.com/xanzy/ssh-agent/pageant_windows.go b/vendor/github.com/xanzy/ssh-agent/pageant_windows.go index 21d3cba2a5..1608e54cc2 100644 --- a/vendor/github.com/xanzy/ssh-agent/pageant_windows.go +++ b/vendor/github.com/xanzy/ssh-agent/pageant_windows.go @@ -17,6 +17,7 @@ // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. // +//go:build windows // +build windows package sshagent @@ -31,6 +32,8 @@ import ( "sync" "syscall" "unsafe" + + "golang.org/x/sys/windows" ) // Maximum size of message can be sent to pageant @@ -59,13 +62,16 @@ type copyData struct { var ( lock sync.Mutex - winFindWindow = winAPI("user32.dll", "FindWindowW") - winGetCurrentThreadID = winAPI("kernel32.dll", "GetCurrentThreadId") - winSendMessage = winAPI("user32.dll", "SendMessageW") + user32dll = windows.NewLazySystemDLL("user32.dll") + winFindWindow = winAPI(user32dll, "FindWindowW") + winSendMessage = winAPI(user32dll, "SendMessageW") + + kernel32dll = windows.NewLazySystemDLL("kernel32.dll") + winGetCurrentThreadID = winAPI(kernel32dll, "GetCurrentThreadId") ) -func winAPI(dllName, funcName string) func(...uintptr) (uintptr, uintptr, error) { - proc := syscall.MustLoadDLL(dllName).MustFindProc(funcName) +func winAPI(dll *windows.LazyDLL, funcName string) func(...uintptr) (uintptr, uintptr, error) { + proc := dll.NewProc(funcName) return func(a ...uintptr) (uintptr, uintptr, error) { return proc.Call(a...) } } diff --git a/vendor/github.com/xanzy/ssh-agent/sshagent.go b/vendor/github.com/xanzy/ssh-agent/sshagent.go index 259fea2b63..4a4ee30c93 100644 --- a/vendor/github.com/xanzy/ssh-agent/sshagent.go +++ b/vendor/github.com/xanzy/ssh-agent/sshagent.go @@ -14,6 +14,7 @@ // limitations under the License. // +//go:build !windows // +build !windows package sshagent diff --git a/vendor/github.com/xanzy/ssh-agent/sshagent_windows.go b/vendor/github.com/xanzy/ssh-agent/sshagent_windows.go index ca77e6a965..175d1619d8 100644 --- a/vendor/github.com/xanzy/ssh-agent/sshagent_windows.go +++ b/vendor/github.com/xanzy/ssh-agent/sshagent_windows.go @@ -17,6 +17,7 @@ // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. // +//go:build windows // +build windows package sshagent diff --git a/vendor/golang.org/x/crypto/curve25519/internal/field/fe_generic.go b/vendor/golang.org/x/crypto/curve25519/internal/field/fe_generic.go index 7b5b78cbd6..2671217da5 100644 --- a/vendor/golang.org/x/crypto/curve25519/internal/field/fe_generic.go +++ b/vendor/golang.org/x/crypto/curve25519/internal/field/fe_generic.go @@ -245,7 +245,7 @@ func feSquareGeneric(v, a *Element) { v.carryPropagate() } -// carryPropagate brings the limbs below 52 bits by applying the reduction +// carryPropagateGeneric brings the limbs below 52 bits by applying the reduction // identity (a * 2²⁵⁵ + b = a * 19 + b) to the l4 carry. TODO inline func (v *Element) carryPropagateGeneric() *Element { c0 := v.l0 >> 51 diff --git a/vendor/golang.org/x/crypto/hkdf/hkdf.go b/vendor/golang.org/x/crypto/hkdf/hkdf.go new file mode 100644 index 0000000000..dda3f143be --- /dev/null +++ b/vendor/golang.org/x/crypto/hkdf/hkdf.go @@ -0,0 +1,93 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package hkdf implements the HMAC-based Extract-and-Expand Key Derivation +// Function (HKDF) as defined in RFC 5869. +// +// HKDF is a cryptographic key derivation function (KDF) with the goal of +// expanding limited input keying material into one or more cryptographically +// strong secret keys. +package hkdf // import "golang.org/x/crypto/hkdf" + +import ( + "crypto/hmac" + "errors" + "hash" + "io" +) + +// Extract generates a pseudorandom key for use with Expand from an input secret +// and an optional independent salt. +// +// Only use this function if you need to reuse the extracted key with multiple +// Expand invocations and different context values. Most common scenarios, +// including the generation of multiple keys, should use New instead. +func Extract(hash func() hash.Hash, secret, salt []byte) []byte { + if salt == nil { + salt = make([]byte, hash().Size()) + } + extractor := hmac.New(hash, salt) + extractor.Write(secret) + return extractor.Sum(nil) +} + +type hkdf struct { + expander hash.Hash + size int + + info []byte + counter byte + + prev []byte + buf []byte +} + +func (f *hkdf) Read(p []byte) (int, error) { + // Check whether enough data can be generated + need := len(p) + remains := len(f.buf) + int(255-f.counter+1)*f.size + if remains < need { + return 0, errors.New("hkdf: entropy limit reached") + } + // Read any leftover from the buffer + n := copy(p, f.buf) + p = p[n:] + + // Fill the rest of the buffer + for len(p) > 0 { + f.expander.Reset() + f.expander.Write(f.prev) + f.expander.Write(f.info) + f.expander.Write([]byte{f.counter}) + f.prev = f.expander.Sum(f.prev[:0]) + f.counter++ + + // Copy the new batch into p + f.buf = f.prev + n = copy(p, f.buf) + p = p[n:] + } + // Save leftovers for next run + f.buf = f.buf[n:] + + return need, nil +} + +// Expand returns a Reader, from which keys can be read, using the given +// pseudorandom key and optional context info, skipping the extraction step. +// +// The pseudorandomKey should have been generated by Extract, or be a uniformly +// random or pseudorandom cryptographically strong key. See RFC 5869, Section +// 3.3. Most common scenarios will want to use New instead. +func Expand(hash func() hash.Hash, pseudorandomKey, info []byte) io.Reader { + expander := hmac.New(hash, pseudorandomKey) + return &hkdf{expander, expander.Size(), info, 1, nil, nil} +} + +// New returns a Reader, from which keys can be read, using the given hash, +// secret, salt and context info. Salt and info can be nil. +func New(hash func() hash.Hash, secret, salt, info []byte) io.Reader { + prk := Extract(hash, secret, salt) + return Expand(hash, prk, info) +} diff --git a/vendor/golang.org/x/crypto/sha3/doc.go b/vendor/golang.org/x/crypto/sha3/doc.go new file mode 100644 index 0000000000..decd8cf9bf --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/doc.go @@ -0,0 +1,62 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package sha3 implements the SHA-3 fixed-output-length hash functions and +// the SHAKE variable-output-length hash functions defined by FIPS-202. +// +// Both types of hash function use the "sponge" construction and the Keccak +// permutation. For a detailed specification see http://keccak.noekeon.org/ +// +// # Guidance +// +// If you aren't sure what function you need, use SHAKE256 with at least 64 +// bytes of output. The SHAKE instances are faster than the SHA3 instances; +// the latter have to allocate memory to conform to the hash.Hash interface. +// +// If you need a secret-key MAC (message authentication code), prepend the +// secret key to the input, hash with SHAKE256 and read at least 32 bytes of +// output. +// +// # Security strengths +// +// The SHA3-x (x equals 224, 256, 384, or 512) functions have a security +// strength against preimage attacks of x bits. Since they only produce "x" +// bits of output, their collision-resistance is only "x/2" bits. +// +// The SHAKE-256 and -128 functions have a generic security strength of 256 and +// 128 bits against all attacks, provided that at least 2x bits of their output +// is used. Requesting more than 64 or 32 bytes of output, respectively, does +// not increase the collision-resistance of the SHAKE functions. +// +// # The sponge construction +// +// A sponge builds a pseudo-random function from a public pseudo-random +// permutation, by applying the permutation to a state of "rate + capacity" +// bytes, but hiding "capacity" of the bytes. +// +// A sponge starts out with a zero state. To hash an input using a sponge, up +// to "rate" bytes of the input are XORed into the sponge's state. The sponge +// is then "full" and the permutation is applied to "empty" it. This process is +// repeated until all the input has been "absorbed". The input is then padded. +// The digest is "squeezed" from the sponge in the same way, except that output +// is copied out instead of input being XORed in. +// +// A sponge is parameterized by its generic security strength, which is equal +// to half its capacity; capacity + rate is equal to the permutation's width. +// Since the KeccakF-1600 permutation is 1600 bits (200 bytes) wide, this means +// that the security strength of a sponge instance is equal to (1600 - bitrate) / 2. +// +// # Recommendations +// +// The SHAKE functions are recommended for most new uses. They can produce +// output of arbitrary length. SHAKE256, with an output length of at least +// 64 bytes, provides 256-bit security against all attacks. The Keccak team +// recommends it for most applications upgrading from SHA2-512. (NIST chose a +// much stronger, but much slower, sponge instance for SHA3-512.) +// +// The SHA-3 functions are "drop-in" replacements for the SHA-2 functions. +// They produce output of the same length, with the same security strengths +// against all attacks. This means, in particular, that SHA3-256 only has +// 128-bit collision resistance, because its output length is 32 bytes. +package sha3 // import "golang.org/x/crypto/sha3" diff --git a/vendor/golang.org/x/crypto/sha3/hashes.go b/vendor/golang.org/x/crypto/sha3/hashes.go new file mode 100644 index 0000000000..0d8043fd2a --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/hashes.go @@ -0,0 +1,97 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// This file provides functions for creating instances of the SHA-3 +// and SHAKE hash functions, as well as utility functions for hashing +// bytes. + +import ( + "hash" +) + +// New224 creates a new SHA3-224 hash. +// Its generic security strength is 224 bits against preimage attacks, +// and 112 bits against collision attacks. +func New224() hash.Hash { + if h := new224Asm(); h != nil { + return h + } + return &state{rate: 144, outputLen: 28, dsbyte: 0x06} +} + +// New256 creates a new SHA3-256 hash. +// Its generic security strength is 256 bits against preimage attacks, +// and 128 bits against collision attacks. +func New256() hash.Hash { + if h := new256Asm(); h != nil { + return h + } + return &state{rate: 136, outputLen: 32, dsbyte: 0x06} +} + +// New384 creates a new SHA3-384 hash. +// Its generic security strength is 384 bits against preimage attacks, +// and 192 bits against collision attacks. +func New384() hash.Hash { + if h := new384Asm(); h != nil { + return h + } + return &state{rate: 104, outputLen: 48, dsbyte: 0x06} +} + +// New512 creates a new SHA3-512 hash. +// Its generic security strength is 512 bits against preimage attacks, +// and 256 bits against collision attacks. +func New512() hash.Hash { + if h := new512Asm(); h != nil { + return h + } + return &state{rate: 72, outputLen: 64, dsbyte: 0x06} +} + +// NewLegacyKeccak256 creates a new Keccak-256 hash. +// +// Only use this function if you require compatibility with an existing cryptosystem +// that uses non-standard padding. All other users should use New256 instead. +func NewLegacyKeccak256() hash.Hash { return &state{rate: 136, outputLen: 32, dsbyte: 0x01} } + +// NewLegacyKeccak512 creates a new Keccak-512 hash. +// +// Only use this function if you require compatibility with an existing cryptosystem +// that uses non-standard padding. All other users should use New512 instead. +func NewLegacyKeccak512() hash.Hash { return &state{rate: 72, outputLen: 64, dsbyte: 0x01} } + +// Sum224 returns the SHA3-224 digest of the data. +func Sum224(data []byte) (digest [28]byte) { + h := New224() + h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum256 returns the SHA3-256 digest of the data. +func Sum256(data []byte) (digest [32]byte) { + h := New256() + h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum384 returns the SHA3-384 digest of the data. +func Sum384(data []byte) (digest [48]byte) { + h := New384() + h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum512 returns the SHA3-512 digest of the data. +func Sum512(data []byte) (digest [64]byte) { + h := New512() + h.Write(data) + h.Sum(digest[:0]) + return +} diff --git a/vendor/golang.org/x/crypto/sha3/hashes_generic.go b/vendor/golang.org/x/crypto/sha3/hashes_generic.go new file mode 100644 index 0000000000..c74fc20fcb --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/hashes_generic.go @@ -0,0 +1,28 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build !gc || purego || !s390x +// +build !gc purego !s390x + +package sha3 + +import ( + "hash" +) + +// new224Asm returns an assembly implementation of SHA3-224 if available, +// otherwise it returns nil. +func new224Asm() hash.Hash { return nil } + +// new256Asm returns an assembly implementation of SHA3-256 if available, +// otherwise it returns nil. +func new256Asm() hash.Hash { return nil } + +// new384Asm returns an assembly implementation of SHA3-384 if available, +// otherwise it returns nil. +func new384Asm() hash.Hash { return nil } + +// new512Asm returns an assembly implementation of SHA3-512 if available, +// otherwise it returns nil. +func new512Asm() hash.Hash { return nil } diff --git a/vendor/golang.org/x/crypto/sha3/keccakf.go b/vendor/golang.org/x/crypto/sha3/keccakf.go new file mode 100644 index 0000000000..e5faa375c0 --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/keccakf.go @@ -0,0 +1,415 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build !amd64 || purego || !gc +// +build !amd64 purego !gc + +package sha3 + +import "math/bits" + +// rc stores the round constants for use in the ι step. +var rc = [24]uint64{ + 0x0000000000000001, + 0x0000000000008082, + 0x800000000000808A, + 0x8000000080008000, + 0x000000000000808B, + 0x0000000080000001, + 0x8000000080008081, + 0x8000000000008009, + 0x000000000000008A, + 0x0000000000000088, + 0x0000000080008009, + 0x000000008000000A, + 0x000000008000808B, + 0x800000000000008B, + 0x8000000000008089, + 0x8000000000008003, + 0x8000000000008002, + 0x8000000000000080, + 0x000000000000800A, + 0x800000008000000A, + 0x8000000080008081, + 0x8000000000008080, + 0x0000000080000001, + 0x8000000080008008, +} + +// keccakF1600 applies the Keccak permutation to a 1600b-wide +// state represented as a slice of 25 uint64s. +func keccakF1600(a *[25]uint64) { + // Implementation translated from Keccak-inplace.c + // in the keccak reference code. + var t, bc0, bc1, bc2, bc3, bc4, d0, d1, d2, d3, d4 uint64 + + for i := 0; i < 24; i += 4 { + // Combines the 5 steps in each round into 2 steps. + // Unrolls 4 rounds per loop and spreads some steps across rounds. + + // Round 1 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[6] ^ d1 + bc1 = bits.RotateLeft64(t, 44) + t = a[12] ^ d2 + bc2 = bits.RotateLeft64(t, 43) + t = a[18] ^ d3 + bc3 = bits.RotateLeft64(t, 21) + t = a[24] ^ d4 + bc4 = bits.RotateLeft64(t, 14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i] + a[6] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc2 = bits.RotateLeft64(t, 3) + t = a[16] ^ d1 + bc3 = bits.RotateLeft64(t, 45) + t = a[22] ^ d2 + bc4 = bits.RotateLeft64(t, 61) + t = a[3] ^ d3 + bc0 = bits.RotateLeft64(t, 28) + t = a[9] ^ d4 + bc1 = bits.RotateLeft64(t, 20) + a[10] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc4 = bits.RotateLeft64(t, 18) + t = a[1] ^ d1 + bc0 = bits.RotateLeft64(t, 1) + t = a[7] ^ d2 + bc1 = bits.RotateLeft64(t, 6) + t = a[13] ^ d3 + bc2 = bits.RotateLeft64(t, 25) + t = a[19] ^ d4 + bc3 = bits.RotateLeft64(t, 8) + a[20] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc1 = bits.RotateLeft64(t, 36) + t = a[11] ^ d1 + bc2 = bits.RotateLeft64(t, 10) + t = a[17] ^ d2 + bc3 = bits.RotateLeft64(t, 15) + t = a[23] ^ d3 + bc4 = bits.RotateLeft64(t, 56) + t = a[4] ^ d4 + bc0 = bits.RotateLeft64(t, 27) + a[5] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc3 = bits.RotateLeft64(t, 41) + t = a[21] ^ d1 + bc4 = bits.RotateLeft64(t, 2) + t = a[2] ^ d2 + bc0 = bits.RotateLeft64(t, 62) + t = a[8] ^ d3 + bc1 = bits.RotateLeft64(t, 55) + t = a[14] ^ d4 + bc2 = bits.RotateLeft64(t, 39) + a[15] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + // Round 2 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[16] ^ d1 + bc1 = bits.RotateLeft64(t, 44) + t = a[7] ^ d2 + bc2 = bits.RotateLeft64(t, 43) + t = a[23] ^ d3 + bc3 = bits.RotateLeft64(t, 21) + t = a[14] ^ d4 + bc4 = bits.RotateLeft64(t, 14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i+1] + a[16] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc2 = bits.RotateLeft64(t, 3) + t = a[11] ^ d1 + bc3 = bits.RotateLeft64(t, 45) + t = a[2] ^ d2 + bc4 = bits.RotateLeft64(t, 61) + t = a[18] ^ d3 + bc0 = bits.RotateLeft64(t, 28) + t = a[9] ^ d4 + bc1 = bits.RotateLeft64(t, 20) + a[20] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc4 = bits.RotateLeft64(t, 18) + t = a[6] ^ d1 + bc0 = bits.RotateLeft64(t, 1) + t = a[22] ^ d2 + bc1 = bits.RotateLeft64(t, 6) + t = a[13] ^ d3 + bc2 = bits.RotateLeft64(t, 25) + t = a[4] ^ d4 + bc3 = bits.RotateLeft64(t, 8) + a[15] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc1 = bits.RotateLeft64(t, 36) + t = a[1] ^ d1 + bc2 = bits.RotateLeft64(t, 10) + t = a[17] ^ d2 + bc3 = bits.RotateLeft64(t, 15) + t = a[8] ^ d3 + bc4 = bits.RotateLeft64(t, 56) + t = a[24] ^ d4 + bc0 = bits.RotateLeft64(t, 27) + a[10] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc3 = bits.RotateLeft64(t, 41) + t = a[21] ^ d1 + bc4 = bits.RotateLeft64(t, 2) + t = a[12] ^ d2 + bc0 = bits.RotateLeft64(t, 62) + t = a[3] ^ d3 + bc1 = bits.RotateLeft64(t, 55) + t = a[19] ^ d4 + bc2 = bits.RotateLeft64(t, 39) + a[5] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + // Round 3 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[11] ^ d1 + bc1 = bits.RotateLeft64(t, 44) + t = a[22] ^ d2 + bc2 = bits.RotateLeft64(t, 43) + t = a[8] ^ d3 + bc3 = bits.RotateLeft64(t, 21) + t = a[19] ^ d4 + bc4 = bits.RotateLeft64(t, 14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i+2] + a[11] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc2 = bits.RotateLeft64(t, 3) + t = a[1] ^ d1 + bc3 = bits.RotateLeft64(t, 45) + t = a[12] ^ d2 + bc4 = bits.RotateLeft64(t, 61) + t = a[23] ^ d3 + bc0 = bits.RotateLeft64(t, 28) + t = a[9] ^ d4 + bc1 = bits.RotateLeft64(t, 20) + a[15] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc4 = bits.RotateLeft64(t, 18) + t = a[16] ^ d1 + bc0 = bits.RotateLeft64(t, 1) + t = a[2] ^ d2 + bc1 = bits.RotateLeft64(t, 6) + t = a[13] ^ d3 + bc2 = bits.RotateLeft64(t, 25) + t = a[24] ^ d4 + bc3 = bits.RotateLeft64(t, 8) + a[5] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc1 = bits.RotateLeft64(t, 36) + t = a[6] ^ d1 + bc2 = bits.RotateLeft64(t, 10) + t = a[17] ^ d2 + bc3 = bits.RotateLeft64(t, 15) + t = a[3] ^ d3 + bc4 = bits.RotateLeft64(t, 56) + t = a[14] ^ d4 + bc0 = bits.RotateLeft64(t, 27) + a[20] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc3 = bits.RotateLeft64(t, 41) + t = a[21] ^ d1 + bc4 = bits.RotateLeft64(t, 2) + t = a[7] ^ d2 + bc0 = bits.RotateLeft64(t, 62) + t = a[18] ^ d3 + bc1 = bits.RotateLeft64(t, 55) + t = a[4] ^ d4 + bc2 = bits.RotateLeft64(t, 39) + a[10] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + // Round 4 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[1] ^ d1 + bc1 = bits.RotateLeft64(t, 44) + t = a[2] ^ d2 + bc2 = bits.RotateLeft64(t, 43) + t = a[3] ^ d3 + bc3 = bits.RotateLeft64(t, 21) + t = a[4] ^ d4 + bc4 = bits.RotateLeft64(t, 14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i+3] + a[1] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc2 = bits.RotateLeft64(t, 3) + t = a[6] ^ d1 + bc3 = bits.RotateLeft64(t, 45) + t = a[7] ^ d2 + bc4 = bits.RotateLeft64(t, 61) + t = a[8] ^ d3 + bc0 = bits.RotateLeft64(t, 28) + t = a[9] ^ d4 + bc1 = bits.RotateLeft64(t, 20) + a[5] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc4 = bits.RotateLeft64(t, 18) + t = a[11] ^ d1 + bc0 = bits.RotateLeft64(t, 1) + t = a[12] ^ d2 + bc1 = bits.RotateLeft64(t, 6) + t = a[13] ^ d3 + bc2 = bits.RotateLeft64(t, 25) + t = a[14] ^ d4 + bc3 = bits.RotateLeft64(t, 8) + a[10] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc1 = bits.RotateLeft64(t, 36) + t = a[16] ^ d1 + bc2 = bits.RotateLeft64(t, 10) + t = a[17] ^ d2 + bc3 = bits.RotateLeft64(t, 15) + t = a[18] ^ d3 + bc4 = bits.RotateLeft64(t, 56) + t = a[19] ^ d4 + bc0 = bits.RotateLeft64(t, 27) + a[15] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc3 = bits.RotateLeft64(t, 41) + t = a[21] ^ d1 + bc4 = bits.RotateLeft64(t, 2) + t = a[22] ^ d2 + bc0 = bits.RotateLeft64(t, 62) + t = a[23] ^ d3 + bc1 = bits.RotateLeft64(t, 55) + t = a[24] ^ d4 + bc2 = bits.RotateLeft64(t, 39) + a[20] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + } +} diff --git a/vendor/golang.org/x/crypto/sha3/keccakf_amd64.go b/vendor/golang.org/x/crypto/sha3/keccakf_amd64.go new file mode 100644 index 0000000000..248a38241f --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/keccakf_amd64.go @@ -0,0 +1,14 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build amd64 && !purego && gc +// +build amd64,!purego,gc + +package sha3 + +// This function is implemented in keccakf_amd64.s. + +//go:noescape + +func keccakF1600(a *[25]uint64) diff --git a/vendor/golang.org/x/crypto/sha3/keccakf_amd64.s b/vendor/golang.org/x/crypto/sha3/keccakf_amd64.s new file mode 100644 index 0000000000..4cfa54383b --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/keccakf_amd64.s @@ -0,0 +1,391 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build amd64 && !purego && gc +// +build amd64,!purego,gc + +// This code was translated into a form compatible with 6a from the public +// domain sources at https://github.com/gvanas/KeccakCodePackage + +// Offsets in state +#define _ba (0*8) +#define _be (1*8) +#define _bi (2*8) +#define _bo (3*8) +#define _bu (4*8) +#define _ga (5*8) +#define _ge (6*8) +#define _gi (7*8) +#define _go (8*8) +#define _gu (9*8) +#define _ka (10*8) +#define _ke (11*8) +#define _ki (12*8) +#define _ko (13*8) +#define _ku (14*8) +#define _ma (15*8) +#define _me (16*8) +#define _mi (17*8) +#define _mo (18*8) +#define _mu (19*8) +#define _sa (20*8) +#define _se (21*8) +#define _si (22*8) +#define _so (23*8) +#define _su (24*8) + +// Temporary registers +#define rT1 AX + +// Round vars +#define rpState DI +#define rpStack SP + +#define rDa BX +#define rDe CX +#define rDi DX +#define rDo R8 +#define rDu R9 + +#define rBa R10 +#define rBe R11 +#define rBi R12 +#define rBo R13 +#define rBu R14 + +#define rCa SI +#define rCe BP +#define rCi rBi +#define rCo rBo +#define rCu R15 + +#define MOVQ_RBI_RCE MOVQ rBi, rCe +#define XORQ_RT1_RCA XORQ rT1, rCa +#define XORQ_RT1_RCE XORQ rT1, rCe +#define XORQ_RBA_RCU XORQ rBa, rCu +#define XORQ_RBE_RCU XORQ rBe, rCu +#define XORQ_RDU_RCU XORQ rDu, rCu +#define XORQ_RDA_RCA XORQ rDa, rCa +#define XORQ_RDE_RCE XORQ rDe, rCe + +#define mKeccakRound(iState, oState, rc, B_RBI_RCE, G_RT1_RCA, G_RT1_RCE, G_RBA_RCU, K_RT1_RCA, K_RT1_RCE, K_RBA_RCU, M_RT1_RCA, M_RT1_RCE, M_RBE_RCU, S_RDU_RCU, S_RDA_RCA, S_RDE_RCE) \ + /* Prepare round */ \ + MOVQ rCe, rDa; \ + ROLQ $1, rDa; \ + \ + MOVQ _bi(iState), rCi; \ + XORQ _gi(iState), rDi; \ + XORQ rCu, rDa; \ + XORQ _ki(iState), rCi; \ + XORQ _mi(iState), rDi; \ + XORQ rDi, rCi; \ + \ + MOVQ rCi, rDe; \ + ROLQ $1, rDe; \ + \ + MOVQ _bo(iState), rCo; \ + XORQ _go(iState), rDo; \ + XORQ rCa, rDe; \ + XORQ _ko(iState), rCo; \ + XORQ _mo(iState), rDo; \ + XORQ rDo, rCo; \ + \ + MOVQ rCo, rDi; \ + ROLQ $1, rDi; \ + \ + MOVQ rCu, rDo; \ + XORQ rCe, rDi; \ + ROLQ $1, rDo; \ + \ + MOVQ rCa, rDu; \ + XORQ rCi, rDo; \ + ROLQ $1, rDu; \ + \ + /* Result b */ \ + MOVQ _ba(iState), rBa; \ + MOVQ _ge(iState), rBe; \ + XORQ rCo, rDu; \ + MOVQ _ki(iState), rBi; \ + MOVQ _mo(iState), rBo; \ + MOVQ _su(iState), rBu; \ + XORQ rDe, rBe; \ + ROLQ $44, rBe; \ + XORQ rDi, rBi; \ + XORQ rDa, rBa; \ + ROLQ $43, rBi; \ + \ + MOVQ rBe, rCa; \ + MOVQ rc, rT1; \ + ORQ rBi, rCa; \ + XORQ rBa, rT1; \ + XORQ rT1, rCa; \ + MOVQ rCa, _ba(oState); \ + \ + XORQ rDu, rBu; \ + ROLQ $14, rBu; \ + MOVQ rBa, rCu; \ + ANDQ rBe, rCu; \ + XORQ rBu, rCu; \ + MOVQ rCu, _bu(oState); \ + \ + XORQ rDo, rBo; \ + ROLQ $21, rBo; \ + MOVQ rBo, rT1; \ + ANDQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _bi(oState); \ + \ + NOTQ rBi; \ + ORQ rBa, rBu; \ + ORQ rBo, rBi; \ + XORQ rBo, rBu; \ + XORQ rBe, rBi; \ + MOVQ rBu, _bo(oState); \ + MOVQ rBi, _be(oState); \ + B_RBI_RCE; \ + \ + /* Result g */ \ + MOVQ _gu(iState), rBe; \ + XORQ rDu, rBe; \ + MOVQ _ka(iState), rBi; \ + ROLQ $20, rBe; \ + XORQ rDa, rBi; \ + ROLQ $3, rBi; \ + MOVQ _bo(iState), rBa; \ + MOVQ rBe, rT1; \ + ORQ rBi, rT1; \ + XORQ rDo, rBa; \ + MOVQ _me(iState), rBo; \ + MOVQ _si(iState), rBu; \ + ROLQ $28, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ga(oState); \ + G_RT1_RCA; \ + \ + XORQ rDe, rBo; \ + ROLQ $45, rBo; \ + MOVQ rBi, rT1; \ + ANDQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _ge(oState); \ + G_RT1_RCE; \ + \ + XORQ rDi, rBu; \ + ROLQ $61, rBu; \ + MOVQ rBu, rT1; \ + ORQ rBa, rT1; \ + XORQ rBo, rT1; \ + MOVQ rT1, _go(oState); \ + \ + ANDQ rBe, rBa; \ + XORQ rBu, rBa; \ + MOVQ rBa, _gu(oState); \ + NOTQ rBu; \ + G_RBA_RCU; \ + \ + ORQ rBu, rBo; \ + XORQ rBi, rBo; \ + MOVQ rBo, _gi(oState); \ + \ + /* Result k */ \ + MOVQ _be(iState), rBa; \ + MOVQ _gi(iState), rBe; \ + MOVQ _ko(iState), rBi; \ + MOVQ _mu(iState), rBo; \ + MOVQ _sa(iState), rBu; \ + XORQ rDi, rBe; \ + ROLQ $6, rBe; \ + XORQ rDo, rBi; \ + ROLQ $25, rBi; \ + MOVQ rBe, rT1; \ + ORQ rBi, rT1; \ + XORQ rDe, rBa; \ + ROLQ $1, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ka(oState); \ + K_RT1_RCA; \ + \ + XORQ rDu, rBo; \ + ROLQ $8, rBo; \ + MOVQ rBi, rT1; \ + ANDQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _ke(oState); \ + K_RT1_RCE; \ + \ + XORQ rDa, rBu; \ + ROLQ $18, rBu; \ + NOTQ rBo; \ + MOVQ rBo, rT1; \ + ANDQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _ki(oState); \ + \ + MOVQ rBu, rT1; \ + ORQ rBa, rT1; \ + XORQ rBo, rT1; \ + MOVQ rT1, _ko(oState); \ + \ + ANDQ rBe, rBa; \ + XORQ rBu, rBa; \ + MOVQ rBa, _ku(oState); \ + K_RBA_RCU; \ + \ + /* Result m */ \ + MOVQ _ga(iState), rBe; \ + XORQ rDa, rBe; \ + MOVQ _ke(iState), rBi; \ + ROLQ $36, rBe; \ + XORQ rDe, rBi; \ + MOVQ _bu(iState), rBa; \ + ROLQ $10, rBi; \ + MOVQ rBe, rT1; \ + MOVQ _mi(iState), rBo; \ + ANDQ rBi, rT1; \ + XORQ rDu, rBa; \ + MOVQ _so(iState), rBu; \ + ROLQ $27, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ma(oState); \ + M_RT1_RCA; \ + \ + XORQ rDi, rBo; \ + ROLQ $15, rBo; \ + MOVQ rBi, rT1; \ + ORQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _me(oState); \ + M_RT1_RCE; \ + \ + XORQ rDo, rBu; \ + ROLQ $56, rBu; \ + NOTQ rBo; \ + MOVQ rBo, rT1; \ + ORQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _mi(oState); \ + \ + ORQ rBa, rBe; \ + XORQ rBu, rBe; \ + MOVQ rBe, _mu(oState); \ + \ + ANDQ rBa, rBu; \ + XORQ rBo, rBu; \ + MOVQ rBu, _mo(oState); \ + M_RBE_RCU; \ + \ + /* Result s */ \ + MOVQ _bi(iState), rBa; \ + MOVQ _go(iState), rBe; \ + MOVQ _ku(iState), rBi; \ + XORQ rDi, rBa; \ + MOVQ _ma(iState), rBo; \ + ROLQ $62, rBa; \ + XORQ rDo, rBe; \ + MOVQ _se(iState), rBu; \ + ROLQ $55, rBe; \ + \ + XORQ rDu, rBi; \ + MOVQ rBa, rDu; \ + XORQ rDe, rBu; \ + ROLQ $2, rBu; \ + ANDQ rBe, rDu; \ + XORQ rBu, rDu; \ + MOVQ rDu, _su(oState); \ + \ + ROLQ $39, rBi; \ + S_RDU_RCU; \ + NOTQ rBe; \ + XORQ rDa, rBo; \ + MOVQ rBe, rDa; \ + ANDQ rBi, rDa; \ + XORQ rBa, rDa; \ + MOVQ rDa, _sa(oState); \ + S_RDA_RCA; \ + \ + ROLQ $41, rBo; \ + MOVQ rBi, rDe; \ + ORQ rBo, rDe; \ + XORQ rBe, rDe; \ + MOVQ rDe, _se(oState); \ + S_RDE_RCE; \ + \ + MOVQ rBo, rDi; \ + MOVQ rBu, rDo; \ + ANDQ rBu, rDi; \ + ORQ rBa, rDo; \ + XORQ rBi, rDi; \ + XORQ rBo, rDo; \ + MOVQ rDi, _si(oState); \ + MOVQ rDo, _so(oState) \ + +// func keccakF1600(state *[25]uint64) +TEXT ·keccakF1600(SB), 0, $200-8 + MOVQ state+0(FP), rpState + + // Convert the user state into an internal state + NOTQ _be(rpState) + NOTQ _bi(rpState) + NOTQ _go(rpState) + NOTQ _ki(rpState) + NOTQ _mi(rpState) + NOTQ _sa(rpState) + + // Execute the KeccakF permutation + MOVQ _ba(rpState), rCa + MOVQ _be(rpState), rCe + MOVQ _bu(rpState), rCu + + XORQ _ga(rpState), rCa + XORQ _ge(rpState), rCe + XORQ _gu(rpState), rCu + + XORQ _ka(rpState), rCa + XORQ _ke(rpState), rCe + XORQ _ku(rpState), rCu + + XORQ _ma(rpState), rCa + XORQ _me(rpState), rCe + XORQ _mu(rpState), rCu + + XORQ _sa(rpState), rCa + XORQ _se(rpState), rCe + MOVQ _si(rpState), rDi + MOVQ _so(rpState), rDo + XORQ _su(rpState), rCu + + mKeccakRound(rpState, rpStack, $0x0000000000000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000000008082, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x800000000000808a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000080008000, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000808b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000080000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000080008081, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008009, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000008a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000000000088, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x0000000080008009, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x000000008000000a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000008000808b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x800000000000008b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000000008089, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008003, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000000008002, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000000080, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000800a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x800000008000000a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000080008081, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008080, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x0000000080000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000080008008, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP) + + // Revert the internal state to the user state + NOTQ _be(rpState) + NOTQ _bi(rpState) + NOTQ _go(rpState) + NOTQ _ki(rpState) + NOTQ _mi(rpState) + NOTQ _sa(rpState) + + RET diff --git a/vendor/golang.org/x/crypto/sha3/register.go b/vendor/golang.org/x/crypto/sha3/register.go new file mode 100644 index 0000000000..8b4453aac3 --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/register.go @@ -0,0 +1,19 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build go1.4 +// +build go1.4 + +package sha3 + +import ( + "crypto" +) + +func init() { + crypto.RegisterHash(crypto.SHA3_224, New224) + crypto.RegisterHash(crypto.SHA3_256, New256) + crypto.RegisterHash(crypto.SHA3_384, New384) + crypto.RegisterHash(crypto.SHA3_512, New512) +} diff --git a/vendor/golang.org/x/crypto/sha3/sha3.go b/vendor/golang.org/x/crypto/sha3/sha3.go new file mode 100644 index 0000000000..fa182beb40 --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/sha3.go @@ -0,0 +1,193 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// spongeDirection indicates the direction bytes are flowing through the sponge. +type spongeDirection int + +const ( + // spongeAbsorbing indicates that the sponge is absorbing input. + spongeAbsorbing spongeDirection = iota + // spongeSqueezing indicates that the sponge is being squeezed. + spongeSqueezing +) + +const ( + // maxRate is the maximum size of the internal buffer. SHAKE-256 + // currently needs the largest buffer. + maxRate = 168 +) + +type state struct { + // Generic sponge components. + a [25]uint64 // main state of the hash + buf []byte // points into storage + rate int // the number of bytes of state to use + + // dsbyte contains the "domain separation" bits and the first bit of + // the padding. Sections 6.1 and 6.2 of [1] separate the outputs of the + // SHA-3 and SHAKE functions by appending bitstrings to the message. + // Using a little-endian bit-ordering convention, these are "01" for SHA-3 + // and "1111" for SHAKE, or 00000010b and 00001111b, respectively. Then the + // padding rule from section 5.1 is applied to pad the message to a multiple + // of the rate, which involves adding a "1" bit, zero or more "0" bits, and + // a final "1" bit. We merge the first "1" bit from the padding into dsbyte, + // giving 00000110b (0x06) and 00011111b (0x1f). + // [1] http://csrc.nist.gov/publications/drafts/fips-202/fips_202_draft.pdf + // "Draft FIPS 202: SHA-3 Standard: Permutation-Based Hash and + // Extendable-Output Functions (May 2014)" + dsbyte byte + + storage storageBuf + + // Specific to SHA-3 and SHAKE. + outputLen int // the default output size in bytes + state spongeDirection // whether the sponge is absorbing or squeezing +} + +// BlockSize returns the rate of sponge underlying this hash function. +func (d *state) BlockSize() int { return d.rate } + +// Size returns the output size of the hash function in bytes. +func (d *state) Size() int { return d.outputLen } + +// Reset clears the internal state by zeroing the sponge state and +// the byte buffer, and setting Sponge.state to absorbing. +func (d *state) Reset() { + // Zero the permutation's state. + for i := range d.a { + d.a[i] = 0 + } + d.state = spongeAbsorbing + d.buf = d.storage.asBytes()[:0] +} + +func (d *state) clone() *state { + ret := *d + if ret.state == spongeAbsorbing { + ret.buf = ret.storage.asBytes()[:len(ret.buf)] + } else { + ret.buf = ret.storage.asBytes()[d.rate-cap(d.buf) : d.rate] + } + + return &ret +} + +// permute applies the KeccakF-1600 permutation. It handles +// any input-output buffering. +func (d *state) permute() { + switch d.state { + case spongeAbsorbing: + // If we're absorbing, we need to xor the input into the state + // before applying the permutation. + xorIn(d, d.buf) + d.buf = d.storage.asBytes()[:0] + keccakF1600(&d.a) + case spongeSqueezing: + // If we're squeezing, we need to apply the permutation before + // copying more output. + keccakF1600(&d.a) + d.buf = d.storage.asBytes()[:d.rate] + copyOut(d, d.buf) + } +} + +// pads appends the domain separation bits in dsbyte, applies +// the multi-bitrate 10..1 padding rule, and permutes the state. +func (d *state) padAndPermute(dsbyte byte) { + if d.buf == nil { + d.buf = d.storage.asBytes()[:0] + } + // Pad with this instance's domain-separator bits. We know that there's + // at least one byte of space in d.buf because, if it were full, + // permute would have been called to empty it. dsbyte also contains the + // first one bit for the padding. See the comment in the state struct. + d.buf = append(d.buf, dsbyte) + zerosStart := len(d.buf) + d.buf = d.storage.asBytes()[:d.rate] + for i := zerosStart; i < d.rate; i++ { + d.buf[i] = 0 + } + // This adds the final one bit for the padding. Because of the way that + // bits are numbered from the LSB upwards, the final bit is the MSB of + // the last byte. + d.buf[d.rate-1] ^= 0x80 + // Apply the permutation + d.permute() + d.state = spongeSqueezing + d.buf = d.storage.asBytes()[:d.rate] + copyOut(d, d.buf) +} + +// Write absorbs more data into the hash's state. It produces an error +// if more data is written to the ShakeHash after writing +func (d *state) Write(p []byte) (written int, err error) { + if d.state != spongeAbsorbing { + panic("sha3: write to sponge after read") + } + if d.buf == nil { + d.buf = d.storage.asBytes()[:0] + } + written = len(p) + + for len(p) > 0 { + if len(d.buf) == 0 && len(p) >= d.rate { + // The fast path; absorb a full "rate" bytes of input and apply the permutation. + xorIn(d, p[:d.rate]) + p = p[d.rate:] + keccakF1600(&d.a) + } else { + // The slow path; buffer the input until we can fill the sponge, and then xor it in. + todo := d.rate - len(d.buf) + if todo > len(p) { + todo = len(p) + } + d.buf = append(d.buf, p[:todo]...) + p = p[todo:] + + // If the sponge is full, apply the permutation. + if len(d.buf) == d.rate { + d.permute() + } + } + } + + return +} + +// Read squeezes an arbitrary number of bytes from the sponge. +func (d *state) Read(out []byte) (n int, err error) { + // If we're still absorbing, pad and apply the permutation. + if d.state == spongeAbsorbing { + d.padAndPermute(d.dsbyte) + } + + n = len(out) + + // Now, do the squeezing. + for len(out) > 0 { + n := copy(out, d.buf) + d.buf = d.buf[n:] + out = out[n:] + + // Apply the permutation if we've squeezed the sponge dry. + if len(d.buf) == 0 { + d.permute() + } + } + + return +} + +// Sum applies padding to the hash state and then squeezes out the desired +// number of output bytes. +func (d *state) Sum(in []byte) []byte { + // Make a copy of the original hash so that caller can keep writing + // and summing. + dup := d.clone() + hash := make([]byte, dup.outputLen) + dup.Read(hash) + return append(in, hash...) +} diff --git a/vendor/golang.org/x/crypto/sha3/sha3_s390x.go b/vendor/golang.org/x/crypto/sha3/sha3_s390x.go new file mode 100644 index 0000000000..63a3edb4ce --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/sha3_s390x.go @@ -0,0 +1,287 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build gc && !purego +// +build gc,!purego + +package sha3 + +// This file contains code for using the 'compute intermediate +// message digest' (KIMD) and 'compute last message digest' (KLMD) +// instructions to compute SHA-3 and SHAKE hashes on IBM Z. + +import ( + "hash" + + "golang.org/x/sys/cpu" +) + +// codes represent 7-bit KIMD/KLMD function codes as defined in +// the Principles of Operation. +type code uint64 + +const ( + // function codes for KIMD/KLMD + sha3_224 code = 32 + sha3_256 = 33 + sha3_384 = 34 + sha3_512 = 35 + shake_128 = 36 + shake_256 = 37 + nopad = 0x100 +) + +// kimd is a wrapper for the 'compute intermediate message digest' instruction. +// src must be a multiple of the rate for the given function code. +// +//go:noescape +func kimd(function code, chain *[200]byte, src []byte) + +// klmd is a wrapper for the 'compute last message digest' instruction. +// src padding is handled by the instruction. +// +//go:noescape +func klmd(function code, chain *[200]byte, dst, src []byte) + +type asmState struct { + a [200]byte // 1600 bit state + buf []byte // care must be taken to ensure cap(buf) is a multiple of rate + rate int // equivalent to block size + storage [3072]byte // underlying storage for buf + outputLen int // output length if fixed, 0 if not + function code // KIMD/KLMD function code + state spongeDirection // whether the sponge is absorbing or squeezing +} + +func newAsmState(function code) *asmState { + var s asmState + s.function = function + switch function { + case sha3_224: + s.rate = 144 + s.outputLen = 28 + case sha3_256: + s.rate = 136 + s.outputLen = 32 + case sha3_384: + s.rate = 104 + s.outputLen = 48 + case sha3_512: + s.rate = 72 + s.outputLen = 64 + case shake_128: + s.rate = 168 + case shake_256: + s.rate = 136 + default: + panic("sha3: unrecognized function code") + } + + // limit s.buf size to a multiple of s.rate + s.resetBuf() + return &s +} + +func (s *asmState) clone() *asmState { + c := *s + c.buf = c.storage[:len(s.buf):cap(s.buf)] + return &c +} + +// copyIntoBuf copies b into buf. It will panic if there is not enough space to +// store all of b. +func (s *asmState) copyIntoBuf(b []byte) { + bufLen := len(s.buf) + s.buf = s.buf[:len(s.buf)+len(b)] + copy(s.buf[bufLen:], b) +} + +// resetBuf points buf at storage, sets the length to 0 and sets cap to be a +// multiple of the rate. +func (s *asmState) resetBuf() { + max := (cap(s.storage) / s.rate) * s.rate + s.buf = s.storage[:0:max] +} + +// Write (via the embedded io.Writer interface) adds more data to the running hash. +// It never returns an error. +func (s *asmState) Write(b []byte) (int, error) { + if s.state != spongeAbsorbing { + panic("sha3: write to sponge after read") + } + length := len(b) + for len(b) > 0 { + if len(s.buf) == 0 && len(b) >= cap(s.buf) { + // Hash the data directly and push any remaining bytes + // into the buffer. + remainder := len(b) % s.rate + kimd(s.function, &s.a, b[:len(b)-remainder]) + if remainder != 0 { + s.copyIntoBuf(b[len(b)-remainder:]) + } + return length, nil + } + + if len(s.buf) == cap(s.buf) { + // flush the buffer + kimd(s.function, &s.a, s.buf) + s.buf = s.buf[:0] + } + + // copy as much as we can into the buffer + n := len(b) + if len(b) > cap(s.buf)-len(s.buf) { + n = cap(s.buf) - len(s.buf) + } + s.copyIntoBuf(b[:n]) + b = b[n:] + } + return length, nil +} + +// Read squeezes an arbitrary number of bytes from the sponge. +func (s *asmState) Read(out []byte) (n int, err error) { + n = len(out) + + // need to pad if we were absorbing + if s.state == spongeAbsorbing { + s.state = spongeSqueezing + + // write hash directly into out if possible + if len(out)%s.rate == 0 { + klmd(s.function, &s.a, out, s.buf) // len(out) may be 0 + s.buf = s.buf[:0] + return + } + + // write hash into buffer + max := cap(s.buf) + if max > len(out) { + max = (len(out)/s.rate)*s.rate + s.rate + } + klmd(s.function, &s.a, s.buf[:max], s.buf) + s.buf = s.buf[:max] + } + + for len(out) > 0 { + // flush the buffer + if len(s.buf) != 0 { + c := copy(out, s.buf) + out = out[c:] + s.buf = s.buf[c:] + continue + } + + // write hash directly into out if possible + if len(out)%s.rate == 0 { + klmd(s.function|nopad, &s.a, out, nil) + return + } + + // write hash into buffer + s.resetBuf() + if cap(s.buf) > len(out) { + s.buf = s.buf[:(len(out)/s.rate)*s.rate+s.rate] + } + klmd(s.function|nopad, &s.a, s.buf, nil) + } + return +} + +// Sum appends the current hash to b and returns the resulting slice. +// It does not change the underlying hash state. +func (s *asmState) Sum(b []byte) []byte { + if s.outputLen == 0 { + panic("sha3: cannot call Sum on SHAKE functions") + } + + // Copy the state to preserve the original. + a := s.a + + // Hash the buffer. Note that we don't clear it because we + // aren't updating the state. + klmd(s.function, &a, nil, s.buf) + return append(b, a[:s.outputLen]...) +} + +// Reset resets the Hash to its initial state. +func (s *asmState) Reset() { + for i := range s.a { + s.a[i] = 0 + } + s.resetBuf() + s.state = spongeAbsorbing +} + +// Size returns the number of bytes Sum will return. +func (s *asmState) Size() int { + return s.outputLen +} + +// BlockSize returns the hash's underlying block size. +// The Write method must be able to accept any amount +// of data, but it may operate more efficiently if all writes +// are a multiple of the block size. +func (s *asmState) BlockSize() int { + return s.rate +} + +// Clone returns a copy of the ShakeHash in its current state. +func (s *asmState) Clone() ShakeHash { + return s.clone() +} + +// new224Asm returns an assembly implementation of SHA3-224 if available, +// otherwise it returns nil. +func new224Asm() hash.Hash { + if cpu.S390X.HasSHA3 { + return newAsmState(sha3_224) + } + return nil +} + +// new256Asm returns an assembly implementation of SHA3-256 if available, +// otherwise it returns nil. +func new256Asm() hash.Hash { + if cpu.S390X.HasSHA3 { + return newAsmState(sha3_256) + } + return nil +} + +// new384Asm returns an assembly implementation of SHA3-384 if available, +// otherwise it returns nil. +func new384Asm() hash.Hash { + if cpu.S390X.HasSHA3 { + return newAsmState(sha3_384) + } + return nil +} + +// new512Asm returns an assembly implementation of SHA3-512 if available, +// otherwise it returns nil. +func new512Asm() hash.Hash { + if cpu.S390X.HasSHA3 { + return newAsmState(sha3_512) + } + return nil +} + +// newShake128Asm returns an assembly implementation of SHAKE-128 if available, +// otherwise it returns nil. +func newShake128Asm() ShakeHash { + if cpu.S390X.HasSHA3 { + return newAsmState(shake_128) + } + return nil +} + +// newShake256Asm returns an assembly implementation of SHAKE-256 if available, +// otherwise it returns nil. +func newShake256Asm() ShakeHash { + if cpu.S390X.HasSHA3 { + return newAsmState(shake_256) + } + return nil +} diff --git a/vendor/golang.org/x/crypto/sha3/sha3_s390x.s b/vendor/golang.org/x/crypto/sha3/sha3_s390x.s new file mode 100644 index 0000000000..a0e051b045 --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/sha3_s390x.s @@ -0,0 +1,34 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build gc && !purego +// +build gc,!purego + +#include "textflag.h" + +// func kimd(function code, chain *[200]byte, src []byte) +TEXT ·kimd(SB), NOFRAME|NOSPLIT, $0-40 + MOVD function+0(FP), R0 + MOVD chain+8(FP), R1 + LMG src+16(FP), R2, R3 // R2=base, R3=len + +continue: + WORD $0xB93E0002 // KIMD --, R2 + BVS continue // continue if interrupted + MOVD $0, R0 // reset R0 for pre-go1.8 compilers + RET + +// func klmd(function code, chain *[200]byte, dst, src []byte) +TEXT ·klmd(SB), NOFRAME|NOSPLIT, $0-64 + // TODO: SHAKE support + MOVD function+0(FP), R0 + MOVD chain+8(FP), R1 + LMG dst+16(FP), R2, R3 // R2=base, R3=len + LMG src+40(FP), R4, R5 // R4=base, R5=len + +continue: + WORD $0xB93F0024 // KLMD R2, R4 + BVS continue // continue if interrupted + MOVD $0, R0 // reset R0 for pre-go1.8 compilers + RET diff --git a/vendor/golang.org/x/crypto/sha3/shake.go b/vendor/golang.org/x/crypto/sha3/shake.go new file mode 100644 index 0000000000..d7be2954ab --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/shake.go @@ -0,0 +1,173 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// This file defines the ShakeHash interface, and provides +// functions for creating SHAKE and cSHAKE instances, as well as utility +// functions for hashing bytes to arbitrary-length output. +// +// +// SHAKE implementation is based on FIPS PUB 202 [1] +// cSHAKE implementations is based on NIST SP 800-185 [2] +// +// [1] https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf +// [2] https://doi.org/10.6028/NIST.SP.800-185 + +import ( + "encoding/binary" + "io" +) + +// ShakeHash defines the interface to hash functions that +// support arbitrary-length output. +type ShakeHash interface { + // Write absorbs more data into the hash's state. It panics if input is + // written to it after output has been read from it. + io.Writer + + // Read reads more output from the hash; reading affects the hash's + // state. (ShakeHash.Read is thus very different from Hash.Sum) + // It never returns an error. + io.Reader + + // Clone returns a copy of the ShakeHash in its current state. + Clone() ShakeHash + + // Reset resets the ShakeHash to its initial state. + Reset() +} + +// cSHAKE specific context +type cshakeState struct { + *state // SHA-3 state context and Read/Write operations + + // initBlock is the cSHAKE specific initialization set of bytes. It is initialized + // by newCShake function and stores concatenation of N followed by S, encoded + // by the method specified in 3.3 of [1]. + // It is stored here in order for Reset() to be able to put context into + // initial state. + initBlock []byte +} + +// Consts for configuring initial SHA-3 state +const ( + dsbyteShake = 0x1f + dsbyteCShake = 0x04 + rate128 = 168 + rate256 = 136 +) + +func bytepad(input []byte, w int) []byte { + // leftEncode always returns max 9 bytes + buf := make([]byte, 0, 9+len(input)+w) + buf = append(buf, leftEncode(uint64(w))...) + buf = append(buf, input...) + padlen := w - (len(buf) % w) + return append(buf, make([]byte, padlen)...) +} + +func leftEncode(value uint64) []byte { + var b [9]byte + binary.BigEndian.PutUint64(b[1:], value) + // Trim all but last leading zero bytes + i := byte(1) + for i < 8 && b[i] == 0 { + i++ + } + // Prepend number of encoded bytes + b[i-1] = 9 - i + return b[i-1:] +} + +func newCShake(N, S []byte, rate int, dsbyte byte) ShakeHash { + c := cshakeState{state: &state{rate: rate, dsbyte: dsbyte}} + + // leftEncode returns max 9 bytes + c.initBlock = make([]byte, 0, 9*2+len(N)+len(S)) + c.initBlock = append(c.initBlock, leftEncode(uint64(len(N)*8))...) + c.initBlock = append(c.initBlock, N...) + c.initBlock = append(c.initBlock, leftEncode(uint64(len(S)*8))...) + c.initBlock = append(c.initBlock, S...) + c.Write(bytepad(c.initBlock, c.rate)) + return &c +} + +// Reset resets the hash to initial state. +func (c *cshakeState) Reset() { + c.state.Reset() + c.Write(bytepad(c.initBlock, c.rate)) +} + +// Clone returns copy of a cSHAKE context within its current state. +func (c *cshakeState) Clone() ShakeHash { + b := make([]byte, len(c.initBlock)) + copy(b, c.initBlock) + return &cshakeState{state: c.clone(), initBlock: b} +} + +// Clone returns copy of SHAKE context within its current state. +func (c *state) Clone() ShakeHash { + return c.clone() +} + +// NewShake128 creates a new SHAKE128 variable-output-length ShakeHash. +// Its generic security strength is 128 bits against all attacks if at +// least 32 bytes of its output are used. +func NewShake128() ShakeHash { + if h := newShake128Asm(); h != nil { + return h + } + return &state{rate: rate128, dsbyte: dsbyteShake} +} + +// NewShake256 creates a new SHAKE256 variable-output-length ShakeHash. +// Its generic security strength is 256 bits against all attacks if +// at least 64 bytes of its output are used. +func NewShake256() ShakeHash { + if h := newShake256Asm(); h != nil { + return h + } + return &state{rate: rate256, dsbyte: dsbyteShake} +} + +// NewCShake128 creates a new instance of cSHAKE128 variable-output-length ShakeHash, +// a customizable variant of SHAKE128. +// N is used to define functions based on cSHAKE, it can be empty when plain cSHAKE is +// desired. S is a customization byte string used for domain separation - two cSHAKE +// computations on same input with different S yield unrelated outputs. +// When N and S are both empty, this is equivalent to NewShake128. +func NewCShake128(N, S []byte) ShakeHash { + if len(N) == 0 && len(S) == 0 { + return NewShake128() + } + return newCShake(N, S, rate128, dsbyteCShake) +} + +// NewCShake256 creates a new instance of cSHAKE256 variable-output-length ShakeHash, +// a customizable variant of SHAKE256. +// N is used to define functions based on cSHAKE, it can be empty when plain cSHAKE is +// desired. S is a customization byte string used for domain separation - two cSHAKE +// computations on same input with different S yield unrelated outputs. +// When N and S are both empty, this is equivalent to NewShake256. +func NewCShake256(N, S []byte) ShakeHash { + if len(N) == 0 && len(S) == 0 { + return NewShake256() + } + return newCShake(N, S, rate256, dsbyteCShake) +} + +// ShakeSum128 writes an arbitrary-length digest of data into hash. +func ShakeSum128(hash, data []byte) { + h := NewShake128() + h.Write(data) + h.Read(hash) +} + +// ShakeSum256 writes an arbitrary-length digest of data into hash. +func ShakeSum256(hash, data []byte) { + h := NewShake256() + h.Write(data) + h.Read(hash) +} diff --git a/vendor/golang.org/x/crypto/sha3/shake_generic.go b/vendor/golang.org/x/crypto/sha3/shake_generic.go new file mode 100644 index 0000000000..5c0710ef98 --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/shake_generic.go @@ -0,0 +1,20 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build !gc || purego || !s390x +// +build !gc purego !s390x + +package sha3 + +// newShake128Asm returns an assembly implementation of SHAKE-128 if available, +// otherwise it returns nil. +func newShake128Asm() ShakeHash { + return nil +} + +// newShake256Asm returns an assembly implementation of SHAKE-256 if available, +// otherwise it returns nil. +func newShake256Asm() ShakeHash { + return nil +} diff --git a/vendor/golang.org/x/crypto/sha3/xor.go b/vendor/golang.org/x/crypto/sha3/xor.go new file mode 100644 index 0000000000..59c8eb9418 --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/xor.go @@ -0,0 +1,24 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build (!amd64 && !386 && !ppc64le) || purego +// +build !amd64,!386,!ppc64le purego + +package sha3 + +// A storageBuf is an aligned array of maxRate bytes. +type storageBuf [maxRate]byte + +func (b *storageBuf) asBytes() *[maxRate]byte { + return (*[maxRate]byte)(b) +} + +var ( + xorIn = xorInGeneric + copyOut = copyOutGeneric + xorInUnaligned = xorInGeneric + copyOutUnaligned = copyOutGeneric +) + +const xorImplementationUnaligned = "generic" diff --git a/vendor/golang.org/x/crypto/sha3/xor_generic.go b/vendor/golang.org/x/crypto/sha3/xor_generic.go new file mode 100644 index 0000000000..8d94771127 --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/xor_generic.go @@ -0,0 +1,28 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +import "encoding/binary" + +// xorInGeneric xors the bytes in buf into the state; it +// makes no non-portable assumptions about memory layout +// or alignment. +func xorInGeneric(d *state, buf []byte) { + n := len(buf) / 8 + + for i := 0; i < n; i++ { + a := binary.LittleEndian.Uint64(buf) + d.a[i] ^= a + buf = buf[8:] + } +} + +// copyOutGeneric copies uint64s to a byte buffer. +func copyOutGeneric(d *state, b []byte) { + for i := 0; len(b) >= 8; i++ { + binary.LittleEndian.PutUint64(b, d.a[i]) + b = b[8:] + } +} diff --git a/vendor/golang.org/x/crypto/sha3/xor_unaligned.go b/vendor/golang.org/x/crypto/sha3/xor_unaligned.go new file mode 100644 index 0000000000..1ce606246d --- /dev/null +++ b/vendor/golang.org/x/crypto/sha3/xor_unaligned.go @@ -0,0 +1,68 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +//go:build (amd64 || 386 || ppc64le) && !purego +// +build amd64 386 ppc64le +// +build !purego + +package sha3 + +import "unsafe" + +// A storageBuf is an aligned array of maxRate bytes. +type storageBuf [maxRate / 8]uint64 + +func (b *storageBuf) asBytes() *[maxRate]byte { + return (*[maxRate]byte)(unsafe.Pointer(b)) +} + +// xorInUnaligned uses unaligned reads and writes to update d.a to contain d.a +// XOR buf. +func xorInUnaligned(d *state, buf []byte) { + n := len(buf) + bw := (*[maxRate / 8]uint64)(unsafe.Pointer(&buf[0]))[: n/8 : n/8] + if n >= 72 { + d.a[0] ^= bw[0] + d.a[1] ^= bw[1] + d.a[2] ^= bw[2] + d.a[3] ^= bw[3] + d.a[4] ^= bw[4] + d.a[5] ^= bw[5] + d.a[6] ^= bw[6] + d.a[7] ^= bw[7] + d.a[8] ^= bw[8] + } + if n >= 104 { + d.a[9] ^= bw[9] + d.a[10] ^= bw[10] + d.a[11] ^= bw[11] + d.a[12] ^= bw[12] + } + if n >= 136 { + d.a[13] ^= bw[13] + d.a[14] ^= bw[14] + d.a[15] ^= bw[15] + d.a[16] ^= bw[16] + } + if n >= 144 { + d.a[17] ^= bw[17] + } + if n >= 168 { + d.a[18] ^= bw[18] + d.a[19] ^= bw[19] + d.a[20] ^= bw[20] + } +} + +func copyOutUnaligned(d *state, buf []byte) { + ab := (*[maxRate]uint8)(unsafe.Pointer(&d.a[0])) + copy(buf, ab[:]) +} + +var ( + xorIn = xorInUnaligned + copyOut = copyOutUnaligned +) + +const xorImplementationUnaligned = "unaligned" diff --git a/vendor/golang.org/x/crypto/ssh/common.go b/vendor/golang.org/x/crypto/ssh/common.go index 7a5ff2d2eb..c7964275de 100644 --- a/vendor/golang.org/x/crypto/ssh/common.go +++ b/vendor/golang.org/x/crypto/ssh/common.go @@ -10,6 +10,7 @@ import ( "fmt" "io" "math" + "strings" "sync" _ "crypto/sha1" @@ -118,6 +119,20 @@ func algorithmsForKeyFormat(keyFormat string) []string { } } +// supportedPubKeyAuthAlgos specifies the supported client public key +// authentication algorithms. Note that this doesn't include certificate types +// since those use the underlying algorithm. This list is sent to the client if +// it supports the server-sig-algs extension. Order is irrelevant. +var supportedPubKeyAuthAlgos = []string{ + KeyAlgoED25519, + KeyAlgoSKED25519, KeyAlgoSKECDSA256, + KeyAlgoECDSA256, KeyAlgoECDSA384, KeyAlgoECDSA521, + KeyAlgoRSASHA256, KeyAlgoRSASHA512, KeyAlgoRSA, + KeyAlgoDSA, +} + +var supportedPubKeyAuthAlgosList = strings.Join(supportedPubKeyAuthAlgos, ",") + // unexpectedMessageError results when the SSH message that we received didn't // match what we wanted. func unexpectedMessageError(expected, got uint8) error { diff --git a/vendor/golang.org/x/crypto/ssh/handshake.go b/vendor/golang.org/x/crypto/ssh/handshake.go index 653dc4d2cf..07a1843e0a 100644 --- a/vendor/golang.org/x/crypto/ssh/handshake.go +++ b/vendor/golang.org/x/crypto/ssh/handshake.go @@ -58,11 +58,13 @@ type handshakeTransport struct { incoming chan []byte readError error - mu sync.Mutex - writeError error - sentInitPacket []byte - sentInitMsg *kexInitMsg - pendingPackets [][]byte // Used when a key exchange is in progress. + mu sync.Mutex + writeError error + sentInitPacket []byte + sentInitMsg *kexInitMsg + pendingPackets [][]byte // Used when a key exchange is in progress. + writePacketsLeft uint32 + writeBytesLeft int64 // If the read loop wants to schedule a kex, it pings this // channel, and the write loop will send out a kex @@ -71,7 +73,8 @@ type handshakeTransport struct { // If the other side requests or confirms a kex, its kexInit // packet is sent here for the write loop to find it. - startKex chan *pendingKex + startKex chan *pendingKex + kexLoopDone chan struct{} // closed (with writeError non-nil) when kexLoop exits // data for host key checking hostKeyCallback HostKeyCallback @@ -86,12 +89,10 @@ type handshakeTransport struct { // Algorithms agreed in the last key exchange. algorithms *algorithms + // Counters exclusively owned by readLoop. readPacketsLeft uint32 readBytesLeft int64 - writePacketsLeft uint32 - writeBytesLeft int64 - // The session ID or nil if first kex did not complete yet. sessionID []byte } @@ -108,7 +109,8 @@ func newHandshakeTransport(conn keyingTransport, config *Config, clientVersion, clientVersion: clientVersion, incoming: make(chan []byte, chanSize), requestKex: make(chan struct{}, 1), - startKex: make(chan *pendingKex, 1), + startKex: make(chan *pendingKex), + kexLoopDone: make(chan struct{}), config: config, } @@ -340,16 +342,17 @@ write: t.mu.Unlock() } + // Unblock reader. + t.conn.Close() + // drain startKex channel. We don't service t.requestKex // because nobody does blocking sends there. - go func() { - for init := range t.startKex { - init.done <- t.writeError - } - }() + for request := range t.startKex { + request.done <- t.getWriteError() + } - // Unblock reader. - t.conn.Close() + // Mark that the loop is done so that Close can return. + close(t.kexLoopDone) } // The protocol uses uint32 for packet counters, so we can't let them @@ -545,7 +548,16 @@ func (t *handshakeTransport) writePacket(p []byte) error { } func (t *handshakeTransport) Close() error { - return t.conn.Close() + // Close the connection. This should cause the readLoop goroutine to wake up + // and close t.startKex, which will shut down kexLoop if running. + err := t.conn.Close() + + // Wait for the kexLoop goroutine to complete. + // At that point we know that the readLoop goroutine is complete too, + // because kexLoop itself waits for readLoop to close the startKex channel. + <-t.kexLoopDone + + return err } func (t *handshakeTransport) enterKeyExchange(otherInitPacket []byte) error { @@ -615,7 +627,8 @@ func (t *handshakeTransport) enterKeyExchange(otherInitPacket []byte) error { return err } - if t.sessionID == nil { + firstKeyExchange := t.sessionID == nil + if firstKeyExchange { t.sessionID = result.H } result.SessionID = t.sessionID @@ -626,6 +639,24 @@ func (t *handshakeTransport) enterKeyExchange(otherInitPacket []byte) error { if err = t.conn.writePacket([]byte{msgNewKeys}); err != nil { return err } + + // On the server side, after the first SSH_MSG_NEWKEYS, send a SSH_MSG_EXT_INFO + // message with the server-sig-algs extension if the client supports it. See + // RFC 8308, Sections 2.4 and 3.1. + if !isClient && firstKeyExchange && contains(clientInit.KexAlgos, "ext-info-c") { + extInfo := &extInfoMsg{ + NumExtensions: 1, + Payload: make([]byte, 0, 4+15+4+len(supportedPubKeyAuthAlgosList)), + } + extInfo.Payload = appendInt(extInfo.Payload, len("server-sig-algs")) + extInfo.Payload = append(extInfo.Payload, "server-sig-algs"...) + extInfo.Payload = appendInt(extInfo.Payload, len(supportedPubKeyAuthAlgosList)) + extInfo.Payload = append(extInfo.Payload, supportedPubKeyAuthAlgosList...) + if err := t.conn.writePacket(Marshal(extInfo)); err != nil { + return err + } + } + if packet, err := t.conn.readPacket(); err != nil { return err } else if packet[0] != msgNewKeys { diff --git a/vendor/golang.org/x/crypto/ssh/knownhosts/knownhosts.go b/vendor/golang.org/x/crypto/ssh/knownhosts/knownhosts.go index 260cfe58c6..7376a8dff2 100644 --- a/vendor/golang.org/x/crypto/ssh/knownhosts/knownhosts.go +++ b/vendor/golang.org/x/crypto/ssh/knownhosts/knownhosts.go @@ -142,7 +142,7 @@ func keyEq(a, b ssh.PublicKey) bool { return bytes.Equal(a.Marshal(), b.Marshal()) } -// IsAuthorityForHost can be used as a callback in ssh.CertChecker +// IsHostAuthority can be used as a callback in ssh.CertChecker func (db *hostKeyDB) IsHostAuthority(remote ssh.PublicKey, address string) bool { h, p, err := net.SplitHostPort(address) if err != nil { diff --git a/vendor/golang.org/x/crypto/ssh/server.go b/vendor/golang.org/x/crypto/ssh/server.go index 2260b20afc..9e3870292f 100644 --- a/vendor/golang.org/x/crypto/ssh/server.go +++ b/vendor/golang.org/x/crypto/ssh/server.go @@ -291,15 +291,6 @@ func (s *connection) serverHandshake(config *ServerConfig) (*Permissions, error) return perms, err } -func isAcceptableAlgo(algo string) bool { - switch algo { - case KeyAlgoRSA, KeyAlgoRSASHA256, KeyAlgoRSASHA512, KeyAlgoDSA, KeyAlgoECDSA256, KeyAlgoECDSA384, KeyAlgoECDSA521, KeyAlgoSKECDSA256, KeyAlgoED25519, KeyAlgoSKED25519, - CertAlgoRSAv01, CertAlgoDSAv01, CertAlgoECDSA256v01, CertAlgoECDSA384v01, CertAlgoECDSA521v01, CertAlgoSKECDSA256v01, CertAlgoED25519v01, CertAlgoSKED25519v01: - return true - } - return false -} - func checkSourceAddress(addr net.Addr, sourceAddrs string) error { if addr == nil { return errors.New("ssh: no address known for client, but source-address match required") @@ -514,7 +505,7 @@ userAuthLoop: return nil, parseError(msgUserAuthRequest) } algo := string(algoBytes) - if !isAcceptableAlgo(algo) { + if !contains(supportedPubKeyAuthAlgos, underlyingAlgo(algo)) { authErr = fmt.Errorf("ssh: algorithm %q not accepted", algo) break } @@ -572,7 +563,7 @@ userAuthLoop: // algorithm name that corresponds to algo with // sig.Format. This is usually the same, but // for certs, the names differ. - if !isAcceptableAlgo(sig.Format) { + if !contains(supportedPubKeyAuthAlgos, sig.Format) { authErr = fmt.Errorf("ssh: algorithm %q not accepted", sig.Format) break } diff --git a/vendor/modules.txt b/vendor/modules.txt index 6cd351797f..6fe7e8a038 100644 --- a/vendor/modules.txt +++ b/vendor/modules.txt @@ -74,7 +74,7 @@ github.com/GoogleCloudPlatform/docker-credential-gcr/util/cmd github.com/Microsoft/go-winio github.com/Microsoft/go-winio/internal/socket github.com/Microsoft/go-winio/pkg/guid -# github.com/ProtonMail/go-crypto v0.0.0-20220113124808-70ae35bab23f +# github.com/ProtonMail/go-crypto v0.0.0-20230217124315-7d5c6f04bbb8 ## explicit; go 1.13 github.com/ProtonMail/go-crypto/bitcurves github.com/ProtonMail/go-crypto/brainpool @@ -85,6 +85,8 @@ github.com/ProtonMail/go-crypto/openpgp github.com/ProtonMail/go-crypto/openpgp/aes/keywrap github.com/ProtonMail/go-crypto/openpgp/armor github.com/ProtonMail/go-crypto/openpgp/ecdh +github.com/ProtonMail/go-crypto/openpgp/ecdsa +github.com/ProtonMail/go-crypto/openpgp/eddsa github.com/ProtonMail/go-crypto/openpgp/elgamal github.com/ProtonMail/go-crypto/openpgp/errors github.com/ProtonMail/go-crypto/openpgp/internal/algorithm @@ -92,7 +94,7 @@ github.com/ProtonMail/go-crypto/openpgp/internal/ecc github.com/ProtonMail/go-crypto/openpgp/internal/encoding github.com/ProtonMail/go-crypto/openpgp/packet github.com/ProtonMail/go-crypto/openpgp/s2k -# github.com/acomagu/bufpipe v1.0.3 +# github.com/acomagu/bufpipe v1.0.4 ## explicit; go 1.12 github.com/acomagu/bufpipe # github.com/agext/levenshtein v1.2.3 @@ -275,6 +277,20 @@ github.com/cilium/ebpf/internal github.com/cilium/ebpf/internal/sys github.com/cilium/ebpf/internal/unix github.com/cilium/ebpf/link +# github.com/cloudflare/circl v1.1.0 +## explicit; go 1.15 +github.com/cloudflare/circl/dh/x25519 +github.com/cloudflare/circl/dh/x448 +github.com/cloudflare/circl/ecc/goldilocks +github.com/cloudflare/circl/internal/conv +github.com/cloudflare/circl/internal/sha3 +github.com/cloudflare/circl/math +github.com/cloudflare/circl/math/fp25519 +github.com/cloudflare/circl/math/fp448 +github.com/cloudflare/circl/math/mlsbset +github.com/cloudflare/circl/sign +github.com/cloudflare/circl/sign/ed25519 +github.com/cloudflare/circl/sign/ed448 # github.com/containerd/cgroups v1.1.0 ## explicit; go 1.17 github.com/containerd/cgroups @@ -426,8 +442,8 @@ github.com/docker/go-units # github.com/ePirat/docker-credential-gitlabci v1.0.0 ## explicit; go 1.17 github.com/ePirat/docker-credential-gitlabci/pkg/credhelper -# github.com/emirpasic/gods v1.12.0 -## explicit +# github.com/emirpasic/gods v1.18.1 +## explicit; go 1.2 github.com/emirpasic/gods/containers github.com/emirpasic/gods/lists github.com/emirpasic/gods/lists/arraylist @@ -443,7 +459,7 @@ github.com/go-git/gcfg github.com/go-git/gcfg/scanner github.com/go-git/gcfg/token github.com/go-git/gcfg/types -# github.com/go-git/go-billy/v5 v5.3.1 +# github.com/go-git/go-billy/v5 v5.4.1 ## explicit; go 1.13 github.com/go-git/go-billy/v5 github.com/go-git/go-billy/v5/helper/chroot @@ -451,7 +467,7 @@ github.com/go-git/go-billy/v5/helper/polyfill github.com/go-git/go-billy/v5/memfs github.com/go-git/go-billy/v5/osfs github.com/go-git/go-billy/v5/util -# github.com/go-git/go-git/v5 v5.4.2 +# github.com/go-git/go-git/v5 v5.6.1 ## explicit; go 1.13 github.com/go-git/go-git/v5 github.com/go-git/go-git/v5/config @@ -469,6 +485,7 @@ github.com/go-git/go-git/v5/plumbing/format/index github.com/go-git/go-git/v5/plumbing/format/objfile github.com/go-git/go-git/v5/plumbing/format/packfile github.com/go-git/go-git/v5/plumbing/format/pktline +github.com/go-git/go-git/v5/plumbing/hash github.com/go-git/go-git/v5/plumbing/object github.com/go-git/go-git/v5/plumbing/protocol/packp github.com/go-git/go-git/v5/plumbing/protocol/packp/capability @@ -495,6 +512,7 @@ github.com/go-git/go-git/v5/utils/merkletrie/filesystem github.com/go-git/go-git/v5/utils/merkletrie/index github.com/go-git/go-git/v5/utils/merkletrie/internal/frame github.com/go-git/go-git/v5/utils/merkletrie/noder +github.com/go-git/go-git/v5/utils/sync # github.com/godbus/dbus/v5 v5.1.0 ## explicit; go 1.12 github.com/godbus/dbus/v5 @@ -620,7 +638,7 @@ github.com/jmespath/go-jmespath # github.com/karrick/godirwalk v1.16.1 ## explicit; go 1.13 github.com/karrick/godirwalk -# github.com/kevinburke/ssh_config v1.1.0 +# github.com/kevinburke/ssh_config v1.2.0 ## explicit github.com/kevinburke/ssh_config # github.com/klauspost/compress v1.16.0 @@ -723,6 +741,11 @@ github.com/otiai10/copy # github.com/pelletier/go-toml v1.9.5 ## explicit; go 1.12 github.com/pelletier/go-toml +# github.com/pjbgf/sha1cd v0.3.0 +## explicit; go 1.19 +github.com/pjbgf/sha1cd +github.com/pjbgf/sha1cd/internal +github.com/pjbgf/sha1cd/ubc # github.com/pkg/errors v0.9.1 ## explicit github.com/pkg/errors @@ -757,6 +780,9 @@ github.com/sergi/go-diff/diffmatchpatch # github.com/sirupsen/logrus v1.9.0 ## explicit; go 1.13 github.com/sirupsen/logrus +# github.com/skeema/knownhosts v1.1.0 +## explicit; go 1.17 +github.com/skeema/knownhosts # github.com/spf13/afero v1.9.2 ## explicit; go 1.16 github.com/spf13/afero @@ -792,7 +818,7 @@ github.com/toqueteos/webbrowser github.com/vbatts/tar-split/archive/tar github.com/vbatts/tar-split/tar/asm github.com/vbatts/tar-split/tar/storage -# github.com/xanzy/ssh-agent v0.3.1 +# github.com/xanzy/ssh-agent v0.3.3 ## explicit; go 1.16 github.com/xanzy/ssh-agent # go.etcd.io/etcd/raft/v3 v3.5.6 @@ -819,7 +845,7 @@ go.opencensus.io/trace/propagation go.opencensus.io/trace/tracestate # go.uber.org/goleak v1.2.1 ## explicit; go 1.18 -# golang.org/x/crypto v0.2.0 +# golang.org/x/crypto v0.6.0 ## explicit; go 1.17 golang.org/x/crypto/blowfish golang.org/x/crypto/cast5 @@ -827,10 +853,12 @@ golang.org/x/crypto/chacha20 golang.org/x/crypto/curve25519 golang.org/x/crypto/curve25519/internal/field golang.org/x/crypto/ed25519 +golang.org/x/crypto/hkdf golang.org/x/crypto/internal/alias golang.org/x/crypto/internal/poly1305 golang.org/x/crypto/pkcs12 golang.org/x/crypto/pkcs12/internal/rc2 +golang.org/x/crypto/sha3 golang.org/x/crypto/ssh golang.org/x/crypto/ssh/agent golang.org/x/crypto/ssh/internal/bcrypt_pbkdf