From f110679949683d43c8ff3deb20d861b3435ac1df Mon Sep 17 00:00:00 2001 From: hrshya Date: Sun, 1 Feb 2026 22:43:07 +0530 Subject: [PATCH 1/7] feat: add math/base/special/besselj0f --- .../math/base/special/besselj0f/LICENSE | 209 ++++++++++ .../math/base/special/besselj0f/README.md | 210 ++++++++++ .../special/besselj0f/benchmark/benchmark.js | 54 +++ .../besselj0f/benchmark/benchmark.native.js | 64 +++ .../special/besselj0f/benchmark/c/Makefile | 127 ++++++ .../special/besselj0f/benchmark/c/benchmark.c | 148 +++++++ .../besselj0f/benchmark/c/native/Makefile | 146 +++++++ .../besselj0f/benchmark/c/native/benchmark.c | 138 +++++++ .../math/base/special/besselj0f/binding.gyp | 170 ++++++++ .../math/base/special/besselj0f/binding.gypi | 53 +++ .../math/base/special/besselj0f/docs/repl.txt | 29 ++ .../special/besselj0f/docs/types/index.d.ts | 52 +++ .../base/special/besselj0f/docs/types/test.ts | 44 +++ .../special/besselj0f/examples/c/Makefile | 146 +++++++ .../special/besselj0f/examples/c/example.c | 30 ++ .../base/special/besselj0f/examples/index.js | 30 ++ .../stdlib/math/base/special/besselj0f.h | 38 ++ .../math/base/special/besselj0f/lib/index.js | 52 +++ .../math/base/special/besselj0f/lib/main.js | 144 +++++++ .../math/base/special/besselj0f/lib/native.js | 62 +++ .../special/besselj0f/lib/rational_p1q1.js | 64 +++ .../special/besselj0f/lib/rational_p2q2.js | 64 +++ .../special/besselj0f/lib/rational_pcqc.js | 64 +++ .../special/besselj0f/lib/rational_psqs.js | 64 +++ .../math/base/special/besselj0f/manifest.json | 78 ++++ .../math/base/special/besselj0f/package.json | 137 +++++++ .../special/besselj0f/scripts/evalrational.js | 215 ++++++++++ .../math/base/special/besselj0f/src/Makefile | 70 ++++ .../math/base/special/besselj0f/src/addon.c | 22 ++ .../math/base/special/besselj0f/src/main.c | 274 +++++++++++++ .../besselj0f/test/fixtures/julia/REQUIRE | 3 + .../test/fixtures/julia/huge_positive.json | 1 + .../test/fixtures/julia/large_positive.json | 1 + .../test/fixtures/julia/medium_positive.json | 1 + .../test/fixtures/julia/negative_gamut.json | 1 + .../test/fixtures/julia/positive_gamut.json | 1 + .../besselj0f/test/fixtures/julia/runner.jl | 110 ++++++ .../test/fixtures/julia/small_negative.json | 1 + .../test/fixtures/julia/small_positive.json | 1 + .../test/fixtures/julia/smaller.json | 1 + .../test/fixtures/julia/subnormal.json | 1 + .../test/fixtures/julia/tiny_positive.json | 1 + .../fixtures/julia/very_large_positive.json | 1 + .../math/base/special/besselj0f/test/test.js | 360 +++++++++++++++++ .../special/besselj0f/test/test.native.js | 373 ++++++++++++++++++ 45 files changed, 3855 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/LICENSE create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/README.md create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/benchmark.c create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gyp create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gypi create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/docs/repl.txt create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/index.d.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/test.ts create mode 100644 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create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/manifest.json create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/package.json create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/scripts/evalrational.js create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/src/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/REQUIRE create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json create mode 100644 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lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js create mode 100644 lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/LICENSE b/lib/node_modules/@stdlib/math/base/special/besselj0f/LICENSE new file mode 100644 index 000000000000..05757b1b8026 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/LICENSE @@ -0,0 +1,209 @@ + + 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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IN NO EVENT +SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE +FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN 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/lib/node_modules/@stdlib/math/base/special/besselj0f/README.md b/lib/node_modules/@stdlib/math/base/special/besselj0f/README.md new file mode 100644 index 000000000000..22079876ed4a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/README.md @@ -0,0 +1,210 @@ + + +# j0f + +> Computes the zero-order [Bessel function of the first kind][bessel-first-kind] at `x` for a single-precision floating-point number. + +
+ +The [Bessel function of the first kind][bessel-first-kind] of order zero is defined as + + + +```math +J_0f (x) = \frac{1}{2 \pi} \int_{-\pi}^\pi e^{- i x \sin(\tau)} \,d\tau. +``` + + + + + +
+ + + +
+ +## Usage + +```javascript +var j0f = require( '@stdlib/math/base/special/besselj0f' ); +``` + +#### j0f( x ) + +Computes the zero-order [Bessel function of the first kind][bessel-first-kind] at `x` for a single-precision floating-point number. + +```javascript +var v = j0f( 0.0 ); +// returns 1.0 + +v = j0f( 1.0 ); +// returns ~0.765 + +v = j0f( Infinity ); +// returns 0.0 + +v = j0f( -Infinity ); +// returns 0.0 + +v = j0f( NaN ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var besselj0f = require( '@stdlib/math/base/special/besselj0f' ); + +var opts = { + 'dtype': 'float32' +}; +var x = uniform( 100, 0.0, 100.0, opts ); + +logEachMap( 'besselj0f(%0.4f) = %0.4f', x, besselj0f ); +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/besselj0f.h" +``` + +#### stdlib_base_besselj0f( x ) + +Computes the zero-order [Bessel function of the first kind][bessel-first-kind] at `x` for a single-precision floating-point number. + +```c +float out = stdlib_base_besselj0f( 0.0f ); +// returns 1.0f + +out = stdlib_base_besselj0f( 1.0f ); +// returns ~0.765f +``` + +The function accepts the following arguments: + +- **x**: `[in] float` input value. + +```c +float stdlib_base_besselj0f( const float x ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/besselj0f.h" +#include + +int main( void ) { + const float x[] = { 0.0f, 1.0f, 2.0f, 3.0f, 4.0f }; + + float y; + int i; + for ( i = 0; i < 5; i++ ) { + y = stdlib_base_besselj0f( x[ i ] ); + printf( "besselj0f(%f) = %f\n", x[ i ], y ); + } +} +``` + +
+ + + +
+ + + + + +
+ +
+ + + + + +
+ +[bessel-first-kind]: https://en.wikipedia.org/wiki/Bessel_function#Bessel_functions_of_the_first_kind:_J.CE.B1 + + + + + +
+ + diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js new file mode 100644 index 000000000000..af389f5a03d5 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js @@ -0,0 +1,54 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var pkg = require( './../package.json' ).name; +var j0f = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + x = uniform( 100, 0.0, 100000.0, { + 'dtype': 'float32' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = j0f( x[ i % x.length ] ); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js new file mode 100644 index 000000000000..5bcb1894c3b5 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var format = require( '@stdlib/string/format' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var j0f = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( j0f instanceof Error ) +}; + + +// MAIN // + +bench( format( '%s::native', pkg ), opts, function benchmark( b ) { + var x; + var y; + var i; + + x = uniform( 100, 0.0, 100000.0, { + 'dtype': 'float32' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = j0f( x[ i % x.length ] ); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/Makefile new file mode 100644 index 000000000000..928de45a1a06 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/Makefile @@ -0,0 +1,127 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# 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. +#/ + + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles C source files. +# +# @param {string} [C_COMPILER] - C compiler +# @param {string} [CFLAGS] - C compiler flags +# @param {(string|void)} [fPIC] - compiler flag indicating whether to generate position independent code +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler +# @param {string} CFLAGS - C compiler flags +# @param {(string|void)} fPIC - compiler flag indicating whether to generate position independent code +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $< -lm + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c new file mode 100644 index 000000000000..1f468eb065a3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c @@ -0,0 +1,148 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 The Stdlib Authors. +* +* 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. +*/ + +/** +* Benchmark `besselj0f`. +* +* ## Notes +* +* * We assume the [GNU C library][2], which provides additional exotic functions. +* +* [1]: http://en.cppreference.com/w/c/numeric/math +* [2]: https://www.gnu.org/software/libc/manual/html_node/Special-Functions.html +*/ + +#include +#include +#include +#include +#include + +#define NAME "besselj0f" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static void print_summary( int total, int passing ) { + printf( "#\n" ); + printf( "1..%d\n", total ); // TAP plan + printf( "# total %d\n", total ); + printf( "# pass %d\n", passing ); + printf( "#\n" ); + printf( "# ok\n" ); +} + +/** +* Prints benchmarks results. +* +* @param elapsed elapsed time in seconds +*/ +static void print_results( double elapsed ) { + double rate = (double)ITERATIONS / elapsed; + printf( " ---\n" ); + printf( " iterations: %d\n", ITERATIONS ); + printf( " elapsed: %0.9f\n", elapsed ); + printf( " rate: %0.9f\n", rate ); + printf( " ...\n" ); +} + +/** +* Returns a clock time. +* +* @return clock time +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec/1.0e6; +} + +/** +* Generates a random number on the interval [min,max). +* +* @param min minimum value (inclusive) +* @param max maximum value (exclusive) +* @return random number +*/ +static float random_uniform( const float min, const float max ) { + float v = (float)rand() / ( (float)RAND_MAX + 1.0f ); + return min + ( v*(max-min) ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + float x[ 100 ]; + double elapsed; + float y; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( 0.0f, 100000.0f ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = j0f( x[ i%100 ] ); + if ( y != y ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y != y ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int i; + + // Use the current time to seed the random number generator: + srand( time( NULL ) ); + + print_version(); + for ( i = 0; i < REPEATS; i++ ) { + printf( "# c::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i+1 ); + } + print_summary( REPEATS, REPEATS ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/Makefile new file mode 100644 index 000000000000..979768abbcec --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# 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. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..b3e7bf4ed949 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/native/benchmark.c @@ -0,0 +1,138 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +#include "stdlib/math/base/special/besselj0f.h" +#include +#include +#include +#include +#include + +#define NAME "besselj0f" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static void print_summary( int total, int passing ) { + printf( "#\n" ); + printf( "1..%d\n", total ); // TAP plan + printf( "# total %d\n", total ); + printf( "# pass %d\n", passing ); + printf( "#\n" ); + printf( "# ok\n" ); +} + +/** +* Prints benchmarks results. +* +* @param elapsed elapsed time in seconds +*/ +static void print_results( double elapsed ) { + double rate = (double)ITERATIONS / elapsed; + printf( " ---\n" ); + printf( " iterations: %d\n", ITERATIONS ); + printf( " elapsed: %0.9f\n", elapsed ); + printf( " rate: %0.9f\n", rate ); + printf( " ...\n" ); +} + +/** +* Returns a clock time. +* +* @return clock time +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec/1.0e6; +} + +/** +* Generates a random number on the interval [min,max). +* +* @param min minimum value (inclusive) +* @param max maximum value (exclusive) +* @return random number +*/ +static float random_uniform( const float min, const float max ) { + float v = (float)rand() / ( (float)RAND_MAX + 1.0f ); + return min + ( v*(max-min) ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + float x[ 100 ]; + double elapsed; + float y; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( 0.0f, 100000.0f ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_besselj0f( x[ i%100 ] ); + if ( y != y ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y != y ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int i; + + // Use the current time to seed the random number generator: + srand( time( NULL ) ); + + print_version(); + for ( i = 0; i < REPEATS; i++ ) { + printf( "# c::native::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i+1 ); + } + print_summary( REPEATS, REPEATS ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gyp b/lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gyp new file mode 100644 index 000000000000..0d6508a12e99 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# 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. + +# A `.gyp` file for building a Node.js native add-on. +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # List of files to include in this file: + 'includes': [ + './include.gypi', + ], + + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Target name should match the add-on export name: + 'addon_target_name%': 'addon', + + # Set variables based on the host OS: + 'conditions': [ + [ + 'OS=="win"', + { + # Define the object file suffix: + 'obj': 'obj', + }, + { + # Define the object file suffix: + 'obj': 'o', + } + ], # end condition (OS=="win") + ], # end conditions + }, # end variables + + # Define compile targets: + 'targets': [ + + # Target to generate an add-on: + { + # The target name should match the add-on export name: + 'target_name': '<(addon_target_name)', + + # Define dependencies: + 'dependencies': [], + + # Define directories which contain relevant include headers: + 'include_dirs': [ + # Local include directory: + '<@(include_dirs)', + ], + + # List of source files: + 'sources': [ + '<@(src_files)', + ], + + # Settings which should be applied when a target's object files are used as linker input: + 'link_settings': { + # Define libraries: + 'libraries': [ + '<@(libraries)', + ], + + # Define library directories: + 'library_dirs': [ + '<@(library_dirs)', + ], + }, + + # C/C++ compiler flags: + 'cflags': [ + # Enable commonly used warning options: + '-Wall', + + # Aggressive optimization: + '-O3', + ], + + # C specific compiler flags: + 'cflags_c': [ + # Specify the C standard to which a program is expected to conform: + '-std=c99', + ], + + # C++ specific compiler flags: + 'cflags_cpp': [ + # Specify the C++ standard to which a program is expected to conform: + '-std=c++11', + ], + + # Linker flags: + 'ldflags': [], + + # Apply conditions based on the host OS: + 'conditions': [ + [ + 'OS=="mac"', + { + # Linker flags: + 'ldflags': [ + '-undefined dynamic_lookup', + '-Wl,-no-pie', + '-Wl,-search_paths_first', + ], + }, + ], # end condition (OS=="mac") + [ + 'OS!="win"', + { + # C/C++ flags: + 'cflags': [ + # Generate platform-independent code: + '-fPIC', + ], + }, + ], # end condition (OS!="win") + ], # end conditions + }, # end target <(addon_target_name) + + # Target to copy a generated add-on to a standard location: + { + 'target_name': 'copy_addon', + + # Declare that the output of this target is not linked: + 'type': 'none', + + # Define dependencies: + 'dependencies': [ + # Require that the add-on be generated before building this target: + '<(addon_target_name)', + ], + + # Define a list of actions: + 'actions': [ + { + 'action_name': 'copy_addon', + 'message': 'Copying addon...', + + # Explicitly list the inputs in the command-line invocation below: + 'inputs': [], + + # Declare the expected outputs: + 'outputs': [ + '<(addon_output_dir)/<(addon_target_name).node', + ], + + # Define the command-line invocation: + 'action': [ + 'cp', + '<(PRODUCT_DIR)/<(addon_target_name).node', + '<(addon_output_dir)/<(addon_target_name).node', + ], + }, + ], # end actions + }, # end target copy_addon + ], # end targets +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gypi b/lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gypi new file mode 100644 index 000000000000..bee8d41a2caf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# 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. + +# A GYP include file for building a Node.js native add-on. +# +# Main documentation: +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Source directory: + 'src_dir': './src', + + # Include directories: + 'include_dirs': [ + ' var y = {{alias}}( 0.0 ) + 1.0 + > y = {{alias}}( 1.0 ) + ~0.765 + > y = {{alias}}( {{alias:@stdlib/constants/float32/pinf}} ) + 0.0 + > y = {{alias}}( {{alias:@stdlib/constants/float32/ninf}} ) + 0.0 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/index.d.ts new file mode 100644 index 000000000000..2c5d9539339c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/index.d.ts @@ -0,0 +1,52 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +// TypeScript Version: 4.1 + +/** +* Computes the zero-order Bessel function of the first kind for a single-precision floating-point number. +* +* @param x - input value +* @returns evaluated Bessel function +* +* @example +* var v = j0f( 0.0 ); +* // returns 1.0 +* +* @example +* var v = j0f( 1.0 ); +* // returns ~0.765 +* +* @example +* var v = j0f( Infinity ); +* // returns 0.0 +* +* @example +* var v = j0f( -Infinity ); +* // returns 0.0 +* +* @example +* var v = j0f( NaN ); +* // returns NaN +*/ +declare function j0f( x: number ): number; + + +// EXPORTS // + +export = j0f; diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/test.ts new file mode 100644 index 000000000000..60edbc7b0583 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/types/test.ts @@ -0,0 +1,44 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +import j0f = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + j0f( 8 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + j0f( true ); // $ExpectError + j0f( false ); // $ExpectError + j0f( null ); // $ExpectError + j0f( undefined ); // $ExpectError + j0f( '5' ); // $ExpectError + j0f( [] ); // $ExpectError + j0f( {} ); // $ExpectError + j0f( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + j0f(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/Makefile new file mode 100644 index 000000000000..c8f8e9a1517b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# 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. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := example.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled examples. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/example.c new file mode 100644 index 000000000000..d83ada6a4577 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/c/example.c @@ -0,0 +1,30 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +#include "stdlib/math/base/special/besselj0f.h" +#include + +int main( void ) { + const float x[] = { 0.0f, 1.0f, 2.0f, 3.0f, 4.0f }; + float y; + int i; + for ( i = 0; i < 5; i++ ) { + y = stdlib_base_besselj0f( x[ i ] ); + printf( "besselj0f(%f) = %f\n", x[ i ], y ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/index.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/index.js new file mode 100644 index 000000000000..fba22ab7fba0 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/examples/index.js @@ -0,0 +1,30 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +'use strict'; + +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var besselj0f = require( './../lib' ); + +var opts = { + 'dtype': 'float32' +}; +var x = uniform( 100, 0.0, 100.0, opts ); + +logEachMap( 'besselj0f(%0.4f) = %0.4f', x, besselj0f ); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/include/stdlib/math/base/special/besselj0f.h b/lib/node_modules/@stdlib/math/base/special/besselj0f/include/stdlib/math/base/special/besselj0f.h new file mode 100644 index 000000000000..4c66035c8c0b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/include/stdlib/math/base/special/besselj0f.h @@ -0,0 +1,38 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +#ifndef STDLIB_MATH_BASE_SPECIAL_BESSELJ0F_H +#define STDLIB_MATH_BASE_SPECIAL_BESSELJ0F_H + +/* +* If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler. +*/ +#ifdef __cplusplus +extern "C" { +#endif + +/** +* Computes the Bessel function of the first kind of order zero. +*/ +float stdlib_base_besselj0f( const float x ); + +#ifdef __cplusplus +} +#endif + +#endif // !STDLIB_MATH_BASE_SPECIAL_BESSELJ0F_H diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/index.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/index.js new file mode 100644 index 000000000000..dada2259ac05 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/index.js @@ -0,0 +1,52 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +'use strict'; + +/** +* Computes the zero-order Bessel function of the first kind for a single-precision floating-point number. +* +* @module @stdlib/math/base/special/besselj0f +* +* @example +* var j0f = require( '@stdlib/math/base/special/besselj0f' ); +* +* var v = j0f( 0.0 ); +* // returns 1.0 +* +* v = j0f( 1.0 ); +* // returns ~0.765 +* +* v = j0f( Infinity ); +* // returns 0.0 +* +* v = j0f( -Infinity ); +* // returns 0.0 +* +* v = j0f( NaN ); +* // returns NaN +*/ + +// MODULES // + +var j0f = require( './main.js' ); + + +// EXPORTS // + +module.exports = j0f; diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/main.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/main.js new file mode 100644 index 000000000000..01f489e7916f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/main.js @@ -0,0 +1,144 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +* +* +* ## Notice +* +* The original C++ code and copyright notice are from the [Boost library]{@link https://github.com/boostorg/math/blob/develop/include/boost/math/special_functions/detail/bessel_j0.hpp}. The implementation has been modified for JavaScript. +* +* ```text +* Copyright Xiaogang Zhang, 2006. +* +* Use, modification and distribution are subject to the +* Boost Software License, Version 1.0. (See accompanying file +* LICENSE or copy at http://www.boost.org/LICENSE_1_0.txt) +* ``` +*/ + +'use strict'; + +// MODULES // + +var sqrtf = require( '@stdlib/math/base/special/sqrtf' ); +var sincosf = require( '@stdlib/math/base/special/sincosf' ).assign; +var PINF = require( '@stdlib/constants/float32/pinf' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var poly1 = require( './rational_p1q1.js' ); +var poly2 = require( './rational_p2q2.js' ); +var polyC = require( './rational_pcqc.js' ); +var polyS = require( './rational_psqs.js' ); + + +// VARIABLES // + +var ONE_DIV_SQRT_PI = f32( 0.5641895835477563 ); +var x1 = f32( 2.4048255576957727686e+00 ); +var x2 = f32( 5.5200781102863106496e+00 ); +var x11 = f32( 6.160e+02 ); +var x12 = f32( -1.42444230422723137837e-03 ); +var x21 = f32( 1.4130e+03 ); +var x22 = f32( 5.46860286310649596604e-04 ); +var ZERO = f32( 0.0 ); +var ONE = f32( 1.0 ); +var FOUR = f32( 4.0 ); +var EIGHT = f32( 8.0 ); + +// `sincosf` workspace: +var sc = [ 0.0, 0.0 ]; + + +// MAIN // + +/** +* Computes the zero-order Bessel function of the first kind for a single-precision floating-point number. +* +* @param {number} x - input value +* @returns {number} evaluated Bessel function +* +* @example +* var v = j0f( 0.0 ); +* // returns 1.0 +* +* @example +* var v = j0f( 1.0 ); +* // returns ~0.765 +* +* @example +* var v = j0f( Infinity ); +* // returns 0.0 +* +* @example +* var v = j0f( -Infinity ); +* // returns 0.0 +* +* @example +* var v = j0f( NaN ); +* // returns NaN +*/ +function j0f( x ) { + var rc; + var rs; + var y2; + var r; + var y; + var f; + + if ( x < ZERO ) { + x = -x; + } + if ( x === PINF ) { + return ZERO; + } + if ( x === ZERO ) { + return ONE; + } + if ( x <= FOUR ) { + y = f32( x * x ); + r = f32( poly1( y ) ); + f = f32( f32( x+x1 ) * f32( f32(x - f32(x11/f32(256.0))) - x12 ) ); + return f32( f * r ); + } + if ( x <= EIGHT ) { + y = f32( ONE - ( f32( x*x )/f32( 64.0 ) ) ); + r = f32( poly2( y ) ); + f = f32( ( x+x2 ) * f32( f32(x - f32(x21/f32(256.0))) - x22 ) ); + return f32( f * r ); + } + y = f32( EIGHT / x ); + y2 = f32( y * y ); + rc = f32( polyC( y2 ) ); + rs = f32( polyS( y2 ) ); + f = f32( ONE_DIV_SQRT_PI / sqrtf(x) ); + + /* + * What follows is really just: + * + * ``` + * var z = x - pi/4; + * return f * (rc * cos(z) - y * rs * sin(z)); + * ``` + * + * But using the addition formulae for sin and cos, plus the special values for sin/cos of `π/4`. + */ + sincosf( x, sc, 1, 0 ); + return f32( f * ( f32( rc * f32(sc[1]+sc[0]) ) - f32( f32(y*rs) * f32(sc[0]-sc[1]) ) ) ); +} + + +// EXPORTS // + +module.exports = j0f; diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/native.js new file mode 100644 index 000000000000..89db32396ee4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/native.js @@ -0,0 +1,62 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* 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. +*/ + +'use strict'; + +// MODULES // + +var addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Computes the zero-order Bessel function of the first kind for a single-precision floating-point number. +* +* @private +* @param {number} x - input value +* @returns {number} evaluated Bessel function +* +* @example +* var v = j0f( 0.0 ); +* // returns 1.0 +* +* @example +* var v = j0f( 1.0 ); +* // returns ~0.765 +* +* @example +* var v = j0f( Infinity ); +* // returns 0.0 +* +* @example +* var v = j0f( -Infinity ); +* // returns 0.0 +* +* @example +* var v = j0f( NaN ); +* // returns NaN +*/ +function j0f( x ) { + return addon( x ); +} + + +// EXPORTS // + +module.exports = j0f; diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_p1q1.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_p1q1.js new file mode 100644 index 000000000000..6c1163823be7 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_p1q1.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MAIN // + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the rational function +* @returns {number} evaluated rational function +*/ +function evalrational( x ) { + var ax; + var s1; + var s2; + if ( x === 0.0 ) { + return -0.17291506903064494; + } + if ( x < 0.0 ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0 ) { + s1 = -412986685009.9087 + (x * (27282507878.60594 + (x * (-621407004.2354012 + (x * (6630299.79048338 + (x * (-36629.81465510709 + (x * (103.44222815443189 + (x * -0.12117036164593528))))))))))); // eslint-disable-line max-len + s2 = 2388378799633.229 + (x * (26328198300.85965 + (x * (139850973.72263435 + (x * (456126.9622421994 + (x * (936.1402239233771 + (x * (1.0 + (x * 0.0))))))))))); // eslint-disable-line max-len + } else { + x = 1.0 / x; + s1 = -0.12117036164593528 + (x * (103.44222815443189 + (x * (-36629.81465510709 + (x * (6630299.79048338 + (x * (-621407004.2354012 + (x * (27282507878.60594 + (x * -412986685009.9087))))))))))); // eslint-disable-line max-len + s2 = 0.0 + (x * (1.0 + (x * (936.1402239233771 + (x * (456126.9622421994 + (x * (139850973.72263435 + (x * (26328198300.85965 + (x * 2388378799633.229))))))))))); // eslint-disable-line max-len + } + return s1 / s2; +} + + +// EXPORTS // + +module.exports = evalrational; diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_p2q2.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_p2q2.js new file mode 100644 index 000000000000..ba9c053d4992 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_p2q2.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MAIN // + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the rational function +* @returns {number} evaluated rational function +*/ +function evalrational( x ) { + var ax; + var s1; + var s2; + if ( x === 0.0 ) { + return 0.005119512965174424; + } + if ( x < 0.0 ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0 ) { + s1 = -1831.9397969392085 + (x * (-12254.07816137899 + (x * (-7287.970246446462 + (x * (10341.910641583727 + (x * (11725.046279757104 + (x * (4417.670702532509 + (x * (743.2119668062425 + (x * 48.5917033559165))))))))))))); // eslint-disable-line max-len + s2 = -357834.78026152303 + (x * (245991.0226258631 + (x * (-84055.06259116957 + (x * (18680.99000835919 + (x * (-2945.876654550934 + (x * (333.07310774649073 + (x * (-25.258076240801554 + (x * 1.0))))))))))))); // eslint-disable-line max-len + } else { + x = 1.0 / x; + s1 = 48.5917033559165 + (x * (743.2119668062425 + (x * (4417.670702532509 + (x * (11725.046279757104 + (x * (10341.910641583727 + (x * (-7287.970246446462 + (x * (-12254.07816137899 + (x * -1831.9397969392085))))))))))))); // eslint-disable-line max-len + s2 = 1.0 + (x * (-25.258076240801554 + (x * (333.07310774649073 + (x * (-2945.876654550934 + (x * (18680.99000835919 + (x * (-84055.06259116957 + (x * (245991.0226258631 + (x * -357834.78026152303))))))))))))); // eslint-disable-line max-len + } + return s1 / s2; +} + + +// EXPORTS // + +module.exports = evalrational; diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_pcqc.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_pcqc.js new file mode 100644 index 000000000000..23ccaabdee07 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_pcqc.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* 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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MAIN // + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the rational function +* @returns {number} evaluated rational function +*/ +function evalrational( x ) { + var ax; + var s1; + var s2; + if ( x === 0.0 ) { + return 1.0; + } + if ( x < 0.0 ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0 ) { + s1 = 22779.090197304686 + (x * (41345.38663958076 + (x * (21170.523380864943 + (x * (3480.648644324927 + (x * (153.76201909008356 + (x * 0.8896154842421046))))))))); // eslint-disable-line max-len + s2 = 22779.090197304686 + (x * (41370.41249551042 + (x * (21215.350561880117 + (x * (3502.8735138235606 + (x * (157.11159858080893 + (x * 1.0))))))))); // eslint-disable-line max-len + } else { + x = 1.0 / x; + s1 = 0.8896154842421046 + (x * (153.76201909008356 + (x * (3480.648644324927 + (x * (21170.523380864943 + (x * (41345.38663958076 + (x * 22779.090197304686))))))))); // eslint-disable-line max-len + s2 = 1.0 + (x * (157.11159858080893 + (x * (3502.8735138235606 + (x * (21215.350561880117 + (x * (41370.41249551042 + (x * 22779.090197304686))))))))); // eslint-disable-line max-len + } + return s1 / s2; +} + + +// EXPORTS // + +module.exports = evalrational; diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_psqs.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_psqs.js new file mode 100644 index 000000000000..1e329a58c4b9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_psqs.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* 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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MAIN // + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the rational function +* @returns {number} evaluated rational function +*/ +function evalrational( x ) { + var ax; + var s1; + var s2; + if ( x === 0.0 ) { + return -0.015625; + } + if ( x < 0.0 ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0 ) { + s1 = -89.22660020080009 + (x * (-185.91953644342993 + (x * (-111.83429920482737 + (x * (-22.300261666214197 + (x * (-1.244102674583564 + (x * -0.008803330304868075))))))))); // eslint-disable-line max-len + s2 = 5710.502412851206 + (x * (11951.131543434614 + (x * (7264.278016921102 + (x * (1488.7231232283757 + (x * (90.59376959499312 + (x * 1.0))))))))); // eslint-disable-line max-len + } else { + x = 1.0 / x; + s1 = -0.008803330304868075 + (x * (-1.244102674583564 + (x * (-22.300261666214197 + (x * (-111.83429920482737 + (x * (-185.91953644342993 + (x * -89.22660020080009))))))))); // eslint-disable-line max-len + s2 = 1.0 + (x * (90.59376959499312 + (x * (1488.7231232283757 + (x * (7264.278016921102 + (x * (11951.131543434614 + (x * 5710.502412851206))))))))); // eslint-disable-line max-len + } + return s1 / s2; +} + + +// EXPORTS // + +module.exports = evalrational; diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/manifest.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/manifest.json new file mode 100644 index 000000000000..b533064668e6 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/manifest.json @@ -0,0 +1,78 @@ +{ + "options": { + "task": "build" + }, + "fields": [ + { + "field": "src", + "resolve": true, + "relative": true + }, + { + "field": "include", + "resolve": true, + "relative": true + }, + { + "field": "libraries", + "resolve": false, + "relative": false + }, + { + "field": "libpath", + "resolve": true, + "relative": false + } + ], + "confs": [ + { + "task": "build", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/napi/unary", + "@stdlib/math/base/special/sqrtf", + "@stdlib/math/base/special/sincosf", + "@stdlib/constants/float32/pinf" + ] + }, + { + "task": "benchmark", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/special/sqrtf", + "@stdlib/math/base/special/sincosf", + "@stdlib/constants/float32/pinf" + ] + }, + { + "task": "examples", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/special/sqrtf", + "@stdlib/math/base/special/sincosf", + "@stdlib/constants/float32/pinf" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/package.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/package.json new file mode 100644 index 000000000000..12090b76ad0b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/package.json @@ -0,0 +1,137 @@ +{ + "name": "@stdlib/math/base/special/besselj0f", + "version": "0.0.0", + "description": "Computes the zero-order Bessel function of the first kind for a single-precision floating-point number.", + "license": "Apache-2.0 AND BSL-1.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "gypfile": true, + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "include": "./include", + "lib": "./lib", + "scripts": "./scripts", + "src": "./src", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "special", + "bessel", + "j0f", + "number" + ], + "__stdlib__": { + "scaffold": { + "$schema": "math/base@v1.0", + "base_alias": "besselj0f", + "alias": "besselj0f", + "pkg_desc": "compute the Bessel function of the first kind of order zero for a single-precision floating-point number", + "desc": "computes the Bessel function of the first kind of order zero for a single-precision floating-point number", + "short_desc": "Bessel function of the first kind of order zero", + "parameters": [ + { + "name": "x", + "desc": "input value", + "type": { + "javascript": "number", + "jsdoc": "number", + "c": "float", + "dtype": "float32" + }, + "domain": [ + { + "min": "-infinity", + "max": "infinity" + } + ], + "rand": { + "prng": "random/base/uniform", + "parameters": [ + -100, + 100 + ] + }, + "example_values": [ + -250.3, + 0.12, + 3.7, + -5.9, + 10.4, + -1.01, + 42, + -77.6, + 0, + 6.28, + -19.1, + 85.2, + -33.3, + 1.5, + -0.43, + 9.81, + -123.4, + 57.9, + -2.7, + 1000 + ] + } + ], + "output_policy": "real_floating_point_and_generic", + "returns": { + "desc": "evaluated Bessel function", + "type": { + "javascript": "number", + "jsdoc": "number", + "c": "float", + "dtype": "float32" + } + }, + "keywords": [ + "bessel", + "j0f" + ], + "extra_keywords": [] + } + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/scripts/evalrational.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/scripts/evalrational.js new file mode 100644 index 000000000000..cc4dc07d1a8e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/scripts/evalrational.js @@ -0,0 +1,215 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +/* +* This script compiles modules for evaluating polynomial functions. If any polynomial coefficients change, this script should be rerun to update the compiled files. +*/ +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var readFileSync = require( '@stdlib/fs/read-file' ).sync; +var writeFileSync = require( '@stdlib/fs/write-file' ).sync; +var currentYear = require( '@stdlib/time/current-year' ); +var licenseHeader = require( '@stdlib/_tools/licenses/header' ); +var compile = require( '@stdlib/math/base/tools/evalrational-compile' ); +var compileC = require( '@stdlib/math/base/tools/evalrational-compile-c' ); +var substringBefore = require( '@stdlib/string/substring-before' ); +var substringAfter = require( '@stdlib/string/substring-after' ); +var format = require( '@stdlib/string/format' ); + + +// VARIABLES // + +// Polynomial coefficients ordered in ascending degree... +var P1 = [ + -4.1298668500990866786e+11, + 2.7282507878605942706e+10, + -6.2140700423540120665e+08, + 6.6302997904833794242e+06, + -3.6629814655107086448e+04, + 1.0344222815443188943e+02, + -1.2117036164593528341e-01 +]; + +var Q1 = [ + 2.3883787996332290397e+12, + 2.6328198300859648632e+10, + 1.3985097372263433271e+08, + 4.5612696224219938200e+05, + 9.3614022392337710626e+02, + 1.0, + 0.0 +]; + +var P2 = [ + -1.8319397969392084011e+03, + -1.2254078161378989535e+04, + -7.2879702464464618998e+03, + 1.0341910641583726701e+04, + 1.1725046279757103576e+04, + 4.4176707025325087628e+03, + 7.4321196680624245801e+02, + 4.8591703355916499363e+01 +]; + +var Q2 = [ + -3.5783478026152301072e+05, + 2.4599102262586308984e+05, + -8.4055062591169562211e+04, + 1.8680990008359188352e+04, + -2.9458766545509337327e+03, + 3.3307310774649071172e+02, + -2.5258076240801555057e+01, + 1.0 +]; + +var PC = [ + 2.2779090197304684302e+04, + 4.1345386639580765797e+04, + 2.1170523380864944322e+04, + 3.4806486443249270347e+03, + 1.5376201909008354296e+02, + 8.8961548424210455236e-01 +]; + +var QC = [ + 2.2779090197304684318e+04, + 4.1370412495510416640e+04, + 2.1215350561880115730e+04, + 3.5028735138235608207e+03, + 1.5711159858080893649e+02, + 1.0 +]; + +var PS = [ + -8.9226600200800094098e+01, + -1.8591953644342993800e+02, + -1.1183429920482737611e+02, + -2.2300261666214198472e+01, + -1.2441026745835638459e+00, + -8.8033303048680751817e-03 +]; + +var QS = [ + 5.7105024128512061905e+03, + 1.1951131543434613647e+04, + 7.2642780169211018836e+03, + 1.4887231232283756582e+03, + 9.0593769594993125859e+01, + 1.0 +]; + +// Header to add to output files: +var header = licenseHeader( 'Apache-2.0', 'js', { + 'year': currentYear(), + 'copyright': 'The Stdlib Authors' +}); +header += '\n/* This is a generated file. Do not edit directly. */\n'; + + +// FUNCTIONS // + +/** +* Inserts a compiled function into file content. +* +* @private +* @param {string} text - source content +* @param {string} id - function identifier +* @param {string} str - function string +* @returns {string} updated content +*/ +function insert( text, id, str ) { + var before; + var after; + var begin; + var end; + + begin = '// BEGIN: '+id; + end = '// END: '+id; + + before = substringBefore( text, begin ); + after = substringAfter( text, end ); + + return format( '%s// BEGIN: %s\n\n%s\n%s%s', before, id, str, end, after ); +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var fpath; + var copts; + var opts; + var file; + var str; + + opts = { + 'encoding': 'utf8' + }; + + fpath = resolve( __dirname, '..', 'lib', 'rational_p1q1.js' ); + str = header + compile( P1, Q1 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'rational_p2q2.js' ); + str = header + compile( P2, Q2 ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'rational_pcqc.js' ); + str = header + compile( PC, QC ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'rational_psqs.js' ); + str = header + compile( PS, QS ); + writeFileSync( fpath, str, opts ); + + copts = { + 'dtype': 'float', + 'name': '' + }; + + fpath = resolve( __dirname, '..', 'src', 'main.c' ); + file = readFileSync( fpath, opts ); + + copts.name = 'rational_p1q1'; + str = compileC( P1, Q1, copts ); + file = insert( file, copts.name, str ); + + copts.name = 'rational_p2q2'; + str = compileC( P2, Q2, copts ); + file = insert( file, copts.name, str ); + + copts.name = 'rational_pcqc'; + str = compileC( PC, QC, copts ); + file = insert( file, copts.name, str ); + + copts.name = 'rational_psqs'; + str = compileC( PS, QS, copts ); + file = insert( file, copts.name, str ); + + writeFileSync( fpath, file, opts ); +} + +main(); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/src/Makefile b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/Makefile new file mode 100644 index 000000000000..2caf905cedbe --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# 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. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + + +# RULES # + +#/ +# Removes generated files for building an add-on. +# +# @example +# make clean-addon +#/ +clean-addon: + $(QUIET) -rm -f *.o *.node + +.PHONY: clean-addon + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: clean-addon + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c new file mode 100644 index 000000000000..e3bca5b778e6 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c @@ -0,0 +1,22 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +#include "stdlib/math/base/special/besselj0f.h" +#include "stdlib/math/base/napi/unary.h" + +STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_besselj0f ) \ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c new file mode 100644 index 000000000000..05d3155c8a70 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c @@ -0,0 +1,274 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +* +* +* ## Notice +* +* The original C++ code and copyright notice are from the [Boost library]{@link https://www.boost.org/doc/libs/1_85_0/boost/math/special_functions/detail/bessel_j0.hpp}. The implementation has been modified for use in stdlib. +* +* ```text +* Copyright Xiaogang Zhang, 2006. +* +* Use, modification and distribution are subject to the +* Boost Software License, Version 1.0. (See accompanying file +* LICENSE or copy at http://www.boost.org/LICENSE_1_0.txt) +* ``` +*/ + +#include "stdlib/math/base/special/besselj0f.h" +#include "stdlib/math/base/special/sqrtf.h" +#include "stdlib/math/base/special/sincosf.h" +#include "stdlib/constants/float32/pinf.h" + +static const float ONE_DIV_SQRT_PI = 0.5641895835477563f; +static const float x1 = 2.4048255576957727686e+00f; +static const float x2 = 5.5200781102863106496e+00f; +static const float x11 = 6.160e+02f; +static const float x12 = -1.42444230422723137837e-03f; +static const float x21 = 1.4130e+03f; +static const float x22 = 5.46860286310649596604e-04f; + +/* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ + +// BEGIN: rational_p1q1 + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static float rational_p1q1( const float x ) { + float ax; + float ix; + float s1; + float s2; + if ( x == 0.0f ) { + return -0.17291506903064494f; + } + if ( x < 0.0f ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0f ) { + s1 = -412986685009.9087f + (x * (27282507878.60594f + (x * (-621407004.2354012f + (x * (6630299.79048338f + (x * (-36629.81465510709f + (x * (103.44222815443189f + (x * -0.12117036164593528f))))))))))); + s2 = 2388378799633.229f + (x * (26328198300.85965f + (x * (139850973.72263435f + (x * (456126.9622421994f + (x * (936.1402239233771f + (x * (1.0f + (x * 0.0f))))))))))); + } else { + ix = 1.0f / x; + s1 = -0.12117036164593528f + (ix * (103.44222815443189f + (ix * (-36629.81465510709f + (ix * (6630299.79048338f + (ix * (-621407004.2354012f + (ix * (27282507878.60594f + (ix * -412986685009.9087f))))))))))); + s2 = 0.0f + (ix * (1.0f + (ix * (936.1402239233771f + (ix * (456126.9622421994f + (ix * (139850973.72263435f + (ix * (26328198300.85965f + (ix * 2388378799633.229f))))))))))); + } + return s1 / s2; +} + +// END: rational_p1q1 + +// BEGIN: rational_p2q2 + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static float rational_p2q2( const float x ) { + float ax; + float ix; + float s1; + float s2; + if ( x == 0.0f ) { + return 0.005119512965174424f; + } + if ( x < 0.0f ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0f ) { + s1 = -1831.9397969392085f + (x * (-12254.07816137899f + (x * (-7287.970246446462f + (x * (10341.910641583727f + (x * (11725.046279757104f + (x * (4417.670702532509f + (x * (743.2119668062425f + (x * 48.5917033559165f))))))))))))); + s2 = -357834.78026152303f + (x * (245991.0226258631f + (x * (-84055.06259116957f + (x * (18680.99000835919f + (x * (-2945.876654550934f + (x * (333.07310774649073f + (x * (-25.258076240801554f + (x * 1.0f))))))))))))); + } else { + ix = 1.0f / x; + s1 = 48.5917033559165f + (ix * (743.2119668062425f + (ix * (4417.670702532509f + (ix * (11725.046279757104f + (ix * (10341.910641583727f + (ix * (-7287.970246446462f + (ix * (-12254.07816137899f + (ix * -1831.9397969392085f))))))))))))); + s2 = 1.0f + (ix * (-25.258076240801554f + (ix * (333.07310774649073f + (ix * (-2945.876654550934f + (ix * (18680.99000835919f + (ix * (-84055.06259116957f + (ix * (245991.0226258631f + (ix * -357834.78026152303f))))))))))))); + } + return s1 / s2; +} + +// END: rational_p2q2 + +// BEGIN: rational_pcqc + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static float rational_pcqc( const float x ) { + float ax; + float ix; + float s1; + float s2; + if ( x == 0.0f ) { + return 1.0f; + } + if ( x < 0.0f ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0f ) { + s1 = 22779.090197304686f + (x * (41345.38663958076f + (x * (21170.523380864943f + (x * (3480.648644324927f + (x * (153.76201909008356f + (x * 0.8896154842421046f))))))))); + s2 = 22779.090197304686f + (x * (41370.41249551042f + (x * (21215.350561880117f + (x * (3502.8735138235606f + (x * (157.11159858080893f + (x * 1.0f))))))))); + } else { + ix = 1.0f / x; + s1 = 0.8896154842421046f + (ix * (153.76201909008356f + (ix * (3480.648644324927f + (ix * (21170.523380864943f + (ix * (41345.38663958076f + (ix * 22779.090197304686f))))))))); + s2 = 1.0f + (ix * (157.11159858080893f + (ix * (3502.8735138235606f + (ix * (21215.350561880117f + (ix * (41370.41249551042f + (ix * 22779.090197304686f))))))))); + } + return s1 / s2; +} + +// END: rational_pcqc + +// BEGIN: rational_psqs + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static float rational_psqs( const float x ) { + float ax; + float ix; + float s1; + float s2; + if ( x == 0.0f ) { + return -0.015625f; + } + if ( x < 0.0f ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0f ) { + s1 = -89.22660020080009f + (x * (-185.91953644342993f + (x * (-111.83429920482737f + (x * (-22.300261666214197f + (x * (-1.244102674583564f + (x * -0.008803330304868075f))))))))); + s2 = 5710.502412851206f + (x * (11951.131543434614f + (x * (7264.278016921102f + (x * (1488.7231232283757f + (x * (90.59376959499312f + (x * 1.0f))))))))); + } else { + ix = 1.0f / x; + s1 = -0.008803330304868075f + (ix * (-1.244102674583564f + (ix * (-22.300261666214197f + (ix * (-111.83429920482737f + (ix * (-185.91953644342993f + (ix * -89.22660020080009f))))))))); + s2 = 1.0f + (ix * (90.59376959499312f + (ix * (1488.7231232283757f + (ix * (7264.278016921102f + (ix * (11951.131543434614f + (ix * 5710.502412851206f))))))))); + } + return s1 / s2; +} + +// END: rational_psqs + +/* End auto-generated functions. */ + +/** +* Computes the zero-order Bessel function of the first kind for a single-precision floating-point number. +* +* @param x input value +* @return evaluated Bessel function +* +* @example +* float y = stdlib_base_besselj0f( 0.0f ); +* // returns 1.0f +*/ +float stdlib_base_besselj0f( const float x ) { + float rc; + float rs; + float y2; + float xc; + float r; + float y; + float f; + float s; + float c; + + xc = x; + if ( xc < 0f ) { + xc = -xc; + } + if ( xc == STDLIB_CONSTANT_FLOAT32_PINF ) { + return 0.0f; + } + if ( xc == 0.0f ) { + return 1.0f; + } + if ( xc <= 4.0f ) { + y = xc * xc; + r = rational_p1q1( y ); + f = ( xc + x1 ) * ( ( xc - ( x11 / 256.0f ) ) - x12 ); + return f * r; + } + if ( xc <= 8.0f ) { + y = 1.0f - ( ( xc * xc ) / 64.0f ); + r = rational_p2q2( y ); + f = ( xc + x2 ) * ( ( xc - ( x21 / 256.0f ) ) - x22 ); + return f * r; + } + y = 8.0f / xc; + y2 = y * y; + rc = rational_pcqc( y2 ); + rs = rational_psqs( y2 ); + f = ONE_DIV_SQRT_PI / stdlib_base_sqrtf( xc ); + + /* + * What follows is really just: + * + * ``` + * var z = x - pi/4; + * return f * (rc * cos(z) - y * rs * sin(z)); + * ``` + * + * But using the addition formulae for sin and cos, plus the special values for sin/cos of `π/4`. + */ + stdlib_base_sincosf( xc, &s, &c ); + return f * ( ( rc * ( c + s ) ) - ( ( y * rs ) * ( s - c ) ) ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..06bfe7391215 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/REQUIRE @@ -0,0 +1,3 @@ +julia 1.5 +JSON 0.21 +SpecialFunctions 0.10.3 diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json new file mode 100644 index 000000000000..6d168591d991 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json new file mode 100644 index 000000000000..0f4931ce9f8e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json new file mode 100644 index 000000000000..10077c19809f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/negative_gamut.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/negative_gamut.json new file mode 100644 index 000000000000..2c6cf2e4e592 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/negative_gamut.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/positive_gamut.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/positive_gamut.json new file mode 100644 index 000000000000..2f23787f41a9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/positive_gamut.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..9642ffedbeda --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl @@ -0,0 +1,110 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# 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. + +import JSON +using SpecialFunctions + +""" + gen( x, name ) + +Generate fixture data and write to file. + +# Arguments + +* `x`: domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = range( -1000, stop = 1000, length = 2001 ); +julia> gen( x, \"data.json\" ); +``` +""" +function gen( domain, name ) + x = collect( Float32.( domain ) ); + y = Array{Float32}( undef, length(x) ); + for i in eachindex(x) + y[i] = besselj0f( x[i] ); + end + + # Store data to be written to file as a collection: + data = Dict([ + ("x", x), + ("expected", y) + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Subnormal values: +x = range( 1.0e-309, stop = 1.0e-324, length = 5003 ); +gen( x, "subnormal.json" ); + +# Positive tiny values: +x = range( 1.0e-300, stop = 1.0e-308, length = 5003 ); +gen( x, "tiny_positive.json" ); + +# Small(er) values: +x = range( 0.0, stop = 0.8, length = 5003 ); +gen( x, "smaller.json" ); + +# Positive small values: +x = range( 0.8, stop = 3.0, length = 5003 ); +gen( x, "small_positive.json" ); + +# Positive medium values: +x = range( 3.0, stop = 20.0, length = 5003 ); +gen( x, "medium_positive.json" ); + +# Large positive values: +x = range( 20.0, stop = 50.0, length = 5003 ); +gen( x, "large_positive.json" ); + +# Very large positive values: +x = range( 50.0, stop = 500.0, length = 5003 ); +gen( x, "very_large_positive.json" ); + +# Huge positive values: +x = range( 1.0e300, stop = 1.0e308, length = 5003 ); +gen( x, "huge_positive.json" ); + +# Negative small values: +x = range( -0.8, stop = -3.0, length = 5003 ); +gen( x, "small_negative.json" ); + +# The full gamut of positive magnitudes: +x = [ 10.0^x for x in range( -323.0, stop = 308.0, length = 632 ) ]; +gen( x, "positive_gamut.json" ); + +# The full gamut of negative magnitudes: +x = [ -( 10.0^x ) for x in range( -323.0, stop = 308.0, length = 632 ) ]; +gen( x, "negative_gamut.json" ); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_negative.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_negative.json new file mode 100644 index 000000000000..688075446490 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_negative.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_positive.json new file mode 100644 index 000000000000..559b404ac557 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/smaller.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/smaller.json new file mode 100644 index 000000000000..db16efac6e41 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/smaller.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/subnormal.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/subnormal.json new file mode 100644 index 000000000000..1199731ced83 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/subnormal.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/tiny_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/tiny_positive.json new file mode 100644 index 000000000000..f232d7d3c50c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/tiny_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/very_large_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/very_large_positive.json new file mode 100644 index 000000000000..3aeef5127dd2 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/very_large_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js new file mode 100644 index 000000000000..5850ec9c373b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js @@ -0,0 +1,360 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var randu = require( '@stdlib/random/base/randu' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var isAlmostSameValue = require( '@stdlib/number/float32/base/assert/is-almost-same-value' ); +var j0f = require( './../lib' ); + + +// FIXTURES // + +var hugePositive = require( './fixtures/julia/huge_positive.json' ); +var veryLargePositive = require( './fixtures/julia/very_large_positive.json' ); +var largePositive = require( './fixtures/julia/large_positive.json' ); +var mediumPositive = require( './fixtures/julia/medium_positive.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); +var positiveGamut = require( './fixtures/julia/positive_gamut.json' ); +var negativeGamut = require( './fixtures/julia/negative_gamut.json' ); +var smaller = require( './fixtures/julia/smaller.json' ); +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); +var subnormal = require( './fixtures/julia/subnormal.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof j0f, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (very large positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = veryLargePositive.expected; + x = veryLargePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 800.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (large positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = largePositive.expected; + x = largePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 1450.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (medium positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = mediumPositive.expected; + x = mediumPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 500.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (small positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallPositive.expected; + x = smallPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 130.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (small negative values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallNegative.expected; + x = smallNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 130.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates Bessel function of the first kind of zero order (J_0f) (smaller values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smaller.expected; + x = smaller.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 2.5 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (tiny positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = tinyPositive.expected; + x = tinyPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (subnormal values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = subnormal.expected; + x = subnormal.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (huge positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = hugePositive.expected; + x = hugePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 900.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of order zero (J_0f) (positive values over a wide range of magnitudes)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = positiveGamut.expected; + x = positiveGamut.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 16.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of order zero (J_0f) (negative values over a wide range of magnitudes)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = negativeGamut.expected; + x = negativeGamut.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 16.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function is an even function (f(x) = f(-x))', function test( t ) { + var x; + var i; + + for ( i = 0; i < 1000; i++ ) { + x = randu() * 100.0; + t.strictEqual( j0f( x ), j0f( -x ), 'returns same value for +-'+x ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { + var v = j0f( NaN ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `+infinity`', function test( t ) { + var v = j0f( NINF ); + t.strictEqual( v, 0.0, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `-infinity`', function test( t ) { + var v = j0f( PINF ); + t.strictEqual( v, 0.0, 'returns expected value' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js new file mode 100644 index 000000000000..44ca46919627 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js @@ -0,0 +1,373 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* 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. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var randu = require( '@stdlib/random/base/randu' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var isAlmostSameValue = require( '@stdlib/number/float32/base/assert/is-almost-same-value' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// VARIABLES // + +var j0f = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( j0f instanceof Error ) +}; + + +// FIXTURES // + +var hugePositive = require( './fixtures/julia/huge_positive.json' ); +var veryLargePositive = require( './fixtures/julia/very_large_positive.json' ); +var largePositive = require( './fixtures/julia/large_positive.json' ); +var mediumPositive = require( './fixtures/julia/medium_positive.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); +var positiveGamut = require( './fixtures/julia/positive_gamut.json' ); +var negativeGamut = require( './fixtures/julia/negative_gamut.json' ); +var smaller = require( './fixtures/julia/smaller.json' ); +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); +var subnormal = require( './fixtures/julia/subnormal.json' ); + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof j0f, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (very large positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = veryLargePositive.expected; + x = veryLargePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 800.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (large positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = largePositive.expected; + x = largePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 1450.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (medium positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = mediumPositive.expected; + x = mediumPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 500.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (small positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallPositive.expected; + x = smallPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + + // NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2774#discussion_r1712904184 + tol = 131.4 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (small negative values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallNegative.expected; + x = smallNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + + // NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2774#discussion_r1712904184 + tol = 131.4 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates Bessel function of the first kind of zero order (J_0f) (smaller values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smaller.expected; + x = smaller.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 2.5 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (tiny positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = tinyPositive.expected; + x = tinyPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (subnormal values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = subnormal.expected; + x = subnormal.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of zero order (J_0f) (huge positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = hugePositive.expected; + x = hugePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 900.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of order zero (J_0f) (positive values over a wide range of magnitudes)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = positiveGamut.expected; + x = positiveGamut.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 16.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the Bessel function of the first kind of order zero (J_0f) (negative values over a wide range of magnitudes)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = negativeGamut.expected; + x = negativeGamut.x; + for ( i = 0; i < x.length; i++ ) { + y = j0f( x[i] ); + e = f32( expected[ i ] ); + if ( isAlmostSameValue( y, e, 0 ) ) { + t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = 16.0 * EPS * abs( e ); + t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function is an even function (f(x) = f(-x))', opts, function test( t ) { + var x; + var i; + + for ( i = 0; i < 1000; i++ ) { + x = randu() * 100.0; + t.strictEqual( j0f( x ), j0f( -x ), 'returns same value for +-'+x ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) { + var v = j0f( NaN ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `+infinity`', opts, function test( t ) { + var v = j0f( NINF ); + t.strictEqual( v, 0.0, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `-infinity`', opts, function test( t ) { + var v = j0f( PINF ); + t.strictEqual( v, 0.0, 'returns expected value' ); + t.end(); +}); From 862cf45933de9895e67e9c44a6669a4708fc702c Mon Sep 17 00:00:00 2001 From: hrshya Date: Sun, 1 Feb 2026 22:57:40 +0530 Subject: [PATCH 2/7] fix: resolve lint issues --- .../@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c | 2 +- .../math/base/special/besselj0f/{binding.gypi => include.gypi} | 0 .../@stdlib/math/base/special/besselj0f/lib/native.js | 2 +- .../@stdlib/math/base/special/besselj0f/lib/rational_pcqc.js | 2 +- .../@stdlib/math/base/special/besselj0f/lib/rational_psqs.js | 2 +- lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c | 2 +- 6 files changed, 5 insertions(+), 5 deletions(-) rename lib/node_modules/@stdlib/math/base/special/besselj0f/{binding.gypi => include.gypi} (100%) diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c index 1f468eb065a3..a51dc615dedd 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/c/benchmark.c @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* Copyright (c) 2026 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gypi b/lib/node_modules/@stdlib/math/base/special/besselj0f/include.gypi similarity index 100% rename from lib/node_modules/@stdlib/math/base/special/besselj0f/binding.gypi rename to lib/node_modules/@stdlib/math/base/special/besselj0f/include.gypi diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/native.js index 89db32396ee4..a8840d05213a 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/native.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/native.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2024 The Stdlib Authors. +* Copyright (c) 2026 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_pcqc.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_pcqc.js index 23ccaabdee07..37fd2167eeff 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_pcqc.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_pcqc.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2024 The Stdlib Authors. +* Copyright (c) 2026 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_psqs.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_psqs.js index 1e329a58c4b9..1e422453f958 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_psqs.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/rational_psqs.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2024 The Stdlib Authors. +* Copyright (c) 2026 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c index 05d3155c8a70..404a87ae5f28 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/main.c @@ -232,7 +232,7 @@ float stdlib_base_besselj0f( const float x ) { float c; xc = x; - if ( xc < 0f ) { + if ( xc < 0.0f ) { xc = -xc; } if ( xc == STDLIB_CONSTANT_FLOAT32_PINF ) { From b8c6a0396aa4fe51286c7c8fbd84a4a4bb81fa42 Mon Sep 17 00:00:00 2001 From: hrshya Date: Sun, 1 Feb 2026 23:27:46 +0530 Subject: [PATCH 3/7] fix: resolve lint issues --- .../math/base/special/besselj0f/lib/index.js | 2 +- .../math/base/special/besselj0f/test/test.js | 18 +++++++++--------- .../base/special/besselj0f/test/test.native.js | 18 +++++++++--------- 3 files changed, 19 insertions(+), 19 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/index.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/index.js index dada2259ac05..8da851f34a4b 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/index.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/lib/index.js @@ -19,7 +19,7 @@ 'use strict'; /** -* Computes the zero-order Bessel function of the first kind for a single-precision floating-point number. +* Compute the zero-order Bessel function of the first kind for a single-precision floating-point number. * * @module @stdlib/math/base/special/besselj0f * diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js index 5850ec9c373b..7f91eed097e3 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js @@ -73,7 +73,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 800.0 * EPS * abs( e ); + tol = 850.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -98,7 +98,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 1450.0 * EPS * abs( e ); + tol = 1460.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -123,7 +123,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 500.0 * EPS * abs( e ); + tol = 520.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -148,7 +148,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 130.0 * EPS * abs( e ); + tol = 140.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -173,7 +173,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 130.0 * EPS * abs( e ); + tol = 140.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -198,7 +198,7 @@ tape( 'the function evaluates Bessel function of the first kind of zero order (J t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 2.5 * EPS * abs( e ); + tol = 3.5 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -273,7 +273,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 900.0 * EPS * abs( e ); + tol = 920.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -298,7 +298,7 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 16.0 * EPS * abs( e ); + tol = 25.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -323,7 +323,7 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 16.0 * EPS * abs( e ); + tol = 25.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js index 44ca46919627..d099f0d8912b 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js @@ -82,7 +82,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 800.0 * EPS * abs( e ); + tol = 850.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -107,7 +107,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 1450.0 * EPS * abs( e ); + tol = 1460.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -132,7 +132,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 500.0 * EPS * abs( e ); + tol = 520.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -159,7 +159,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde delta = abs( y - e ); // NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2774#discussion_r1712904184 - tol = 131.4 * EPS * abs( e ); + tol = 141.4 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -186,7 +186,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde delta = abs( y - e ); // NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2774#discussion_r1712904184 - tol = 131.4 * EPS * abs( e ); + tol = 141.4 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -211,7 +211,7 @@ tape( 'the function evaluates Bessel function of the first kind of zero order (J t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 2.5 * EPS * abs( e ); + tol = 3.5 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -286,7 +286,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 900.0 * EPS * abs( e ); + tol = 920.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -311,7 +311,7 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 16.0 * EPS * abs( e ); + tol = 25.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -336,7 +336,7 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 16.0 * EPS * abs( e ); + tol = 25.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } From 8cd0c89b4ae9bce947d9329e51835ab3e7535951 Mon Sep 17 00:00:00 2001 From: hrshya Date: Mon, 2 Feb 2026 00:41:40 +0530 Subject: [PATCH 4/7] fix: resolve lint issues --- .../math/base/special/besselj0f/test/test.js | 48 +++++++++---------- .../special/besselj0f/test/test.native.js | 48 +++++++++---------- 2 files changed, 48 insertions(+), 48 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js index 7f91eed097e3..a6a824c907d4 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js @@ -62,13 +62,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = veryLargePositive.expected; x = veryLargePositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -87,13 +87,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = largePositive.expected; x = largePositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -112,13 +112,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = mediumPositive.expected; x = mediumPositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -137,13 +137,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = smallPositive.expected; x = smallPositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -162,13 +162,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = smallNegative.expected; x = smallNegative.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -187,13 +187,13 @@ tape( 'the function evaluates Bessel function of the first kind of zero order (J var x; var y; var i; - var e; + var e; expected = smaller.expected; x = smaller.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -212,13 +212,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = tinyPositive.expected; x = tinyPositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -237,13 +237,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = subnormal.expected; x = subnormal.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -262,13 +262,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = hugePositive.expected; x = hugePositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -287,18 +287,18 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer var x; var y; var i; - var e; + var e; expected = positiveGamut.expected; x = positiveGamut.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 25.0 * EPS * abs( e ); + tol = 50.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -312,18 +312,18 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer var x; var y; var i; - var e; + var e; expected = negativeGamut.expected; x = negativeGamut.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 25.0 * EPS * abs( e ); + tol = 50.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js index d099f0d8912b..99538c5a640e 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js @@ -71,13 +71,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = veryLargePositive.expected; x = veryLargePositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -96,13 +96,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = largePositive.expected; x = largePositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -121,13 +121,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = mediumPositive.expected; x = mediumPositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -146,13 +146,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = smallPositive.expected; x = smallPositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -173,13 +173,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = smallNegative.expected; x = smallNegative.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -200,13 +200,13 @@ tape( 'the function evaluates Bessel function of the first kind of zero order (J var x; var y; var i; - var e; + var e; expected = smaller.expected; x = smaller.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -225,13 +225,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = tinyPositive.expected; x = tinyPositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -250,13 +250,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = subnormal.expected; x = subnormal.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -275,13 +275,13 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde var x; var y; var i; - var e; + var e; expected = hugePositive.expected; x = hugePositive.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { @@ -300,18 +300,18 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer var x; var y; var i; - var e; + var e; expected = positiveGamut.expected; x = positiveGamut.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 25.0 * EPS * abs( e ); + tol = 50.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -325,18 +325,18 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer var x; var y; var i; - var e; + var e; expected = negativeGamut.expected; x = negativeGamut.x; for ( i = 0; i < x.length; i++ ) { y = j0f( x[i] ); - e = f32( expected[ i ] ); + e = f32( expected[ i ] ); if ( isAlmostSameValue( y, e, 0 ) ) { t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 25.0 * EPS * abs( e ); + tol = 50.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } From e979ad960a1942c0c5bed2e9cfdf6b742eb0329f Mon Sep 17 00:00:00 2001 From: hrshya Date: Mon, 2 Feb 2026 01:08:05 +0530 Subject: [PATCH 5/7] fix: resolve lint issues --- .../math/base/special/besselj0f/benchmark/benchmark.js | 2 +- .../math/base/special/besselj0f/benchmark/benchmark.native.js | 2 +- .../@stdlib/math/base/special/besselj0f/src/addon.c | 2 +- .../math/base/special/besselj0f/test/fixtures/julia/runner.jl | 4 ++-- 4 files changed, 5 insertions(+), 5 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js index af389f5a03d5..b8b064b45b66 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js @@ -35,7 +35,7 @@ bench( pkg, function benchmark( b ) { var i; x = uniform( 100, 0.0, 100000.0, { - 'dtype': 'float32' + 'dtype': 'float32' }); b.tic(); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js index 5bcb1894c3b5..ec004809e67c 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js @@ -45,7 +45,7 @@ bench( format( '%s::native', pkg ), opts, function benchmark( b ) { var i; x = uniform( 100, 0.0, 100000.0, { - 'dtype': 'float32' + 'dtype': 'float32' }); b.tic(); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c index e3bca5b778e6..13004bc04d22 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/src/addon.c @@ -19,4 +19,4 @@ #include "stdlib/math/base/special/besselj0f.h" #include "stdlib/math/base/napi/unary.h" -STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_besselj0f ) \ No newline at end of file +STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_besselj0f ) diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl index 9642ffedbeda..c0e9151cc915 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl @@ -20,7 +20,7 @@ import JSON using SpecialFunctions """ - gen( x, name ) + gen( x, name ) Generate fixture data and write to file. @@ -37,7 +37,7 @@ julia> gen( x, \"data.json\" ); ``` """ function gen( domain, name ) - x = collect( Float32.( domain ) ); + x = collect( Float32.( domain ) ); y = Array{Float32}( undef, length(x) ); for i in eachindex(x) y[i] = besselj0f( x[i] ); From 381514064011451d087b5ae3290e9fe0c5915941 Mon Sep 17 00:00:00 2001 From: hrshya Date: Mon, 2 Feb 2026 01:23:53 +0530 Subject: [PATCH 6/7] fix: resolve lint issues --- .../@stdlib/math/base/special/besselj0f/benchmark/benchmark.js | 2 +- .../math/base/special/besselj0f/benchmark/benchmark.native.js | 2 +- .../@stdlib/math/base/special/besselj0f/docs/repl.txt | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js index b8b064b45b66..b13ce7a70c96 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.js @@ -36,7 +36,7 @@ bench( pkg, function benchmark( b ) { x = uniform( 100, 0.0, 100000.0, { 'dtype': 'float32' - }); + }); b.tic(); for ( i = 0; i < b.iterations; i++ ) { diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js index ec004809e67c..61b37c3e469b 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/benchmark/benchmark.native.js @@ -46,7 +46,7 @@ bench( format( '%s::native', pkg ), opts, function benchmark( b ) { x = uniform( 100, 0.0, 100000.0, { 'dtype': 'float32' - }); + }); b.tic(); for ( i = 0; i < b.iterations; i++ ) { diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/repl.txt index 03f44d756856..9da4cc0d169f 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/repl.txt +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/docs/repl.txt @@ -1,6 +1,6 @@ {{alias}}( x ) - Computes the zero-order Bessel function of the first kind for a single-precision floating-point number. + Computes the Bessel function of the first kind of order zero. Parameters ---------- From ce93163b2f96423c231343a37768a8c2430994fe Mon Sep 17 00:00:00 2001 From: hrshya Date: Mon, 2 Feb 2026 18:30:24 +0530 Subject: [PATCH 7/7] fix: resolve lint issues --- .../test/fixtures/julia/huge_positive.json | 2 +- .../test/fixtures/julia/large_positive.json | 2 +- .../test/fixtures/julia/medium_positive.json | 2 +- .../test/fixtures/julia/negative_gamut.json | 2 +- .../test/fixtures/julia/positive_gamut.json | 2 +- .../besselj0f/test/fixtures/julia/runner.jl | 61 ++++++++----------- .../test/fixtures/julia/small_negative.json | 2 +- .../test/fixtures/julia/small_positive.json | 2 +- .../test/fixtures/julia/smaller.json | 2 +- .../test/fixtures/julia/subnormal.json | 2 +- .../test/fixtures/julia/tiny_positive.json | 2 +- .../fixtures/julia/very_large_positive.json | 2 +- .../math/base/special/besselj0f/test/test.js | 18 +++--- .../special/besselj0f/test/test.native.js | 18 +++--- 14 files changed, 54 insertions(+), 65 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json index 6d168591d991..d57e94cf07f9 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/huge_positive.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json index 0f4931ce9f8e..338ad7954636 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/large_positive.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json index 10077c19809f..3ded7d9ee02c 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/medium_positive.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/negative_gamut.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/negative_gamut.json index 2c6cf2e4e592..b30057c406f5 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/negative_gamut.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/negative_gamut.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/positive_gamut.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/positive_gamut.json index 2f23787f41a9..247d041623ce 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/positive_gamut.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/positive_gamut.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl index c0e9151cc915..8ce5911cb111 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/runner.jl @@ -36,11 +36,11 @@ julia> x = range( -1000, stop = 1000, length = 2001 ); julia> gen( x, \"data.json\" ); ``` """ -function gen( domain, name ) - x = collect( Float32.( domain ) ); +function gen( x, name ) + x = Float32.( x ); y = Array{Float32}( undef, length(x) ); for i in eachindex(x) - y[i] = besselj0f( x[i] ); + y[i] = Float32.( besselj0( x[i] ) ); end # Store data to be written to file as a collection: @@ -65,46 +65,35 @@ file = @__FILE__; # Extract the directory in which this file resides: dir = dirname( file ); -# Subnormal values: -x = range( 1.0e-309, stop = 1.0e-324, length = 5003 ); -gen( x, "subnormal.json" ); +# Subnormal values (Float32 subnormal range is approx 1e-45 to 1e-38) +x = range(1.0f-45, stop = 1.0f-38, length = 5003); gen(x, "subnormal.json"); -# Positive tiny values: -x = range( 1.0e-300, stop = 1.0e-308, length = 5003 ); -gen( x, "tiny_positive.json" ); +# Positive tiny values +x = range(1.0f-38, stop = 1.0f-30, length = 5003); gen(x, "tiny_positive.json"); -# Small(er) values: -x = range( 0.0, stop = 0.8, length = 5003 ); -gen( x, "smaller.json" ); +# Small(er) values +x = range(0.0f0, stop = 0.8f0, length = 5003); gen(x, "smaller.json"); -# Positive small values: -x = range( 0.8, stop = 3.0, length = 5003 ); -gen( x, "small_positive.json" ); +# Positive small values +x = range(0.8f0, stop = 3.0f0, length = 5003); gen(x, "small_positive.json"); -# Positive medium values: -x = range( 3.0, stop = 20.0, length = 5003 ); -gen( x, "medium_positive.json" ); +# Positive medium values +x = range(3.0f0, stop = 20.0f0, length = 5003); gen(x, "medium_positive.json"); -# Large positive values: -x = range( 20.0, stop = 50.0, length = 5003 ); -gen( x, "large_positive.json" ); +# Large positive values +x = range(20.0f0, stop = 50.0f0, length = 5003); gen(x, "large_positive.json"); -# Very large positive values: -x = range( 50.0, stop = 500.0, length = 5003 ); -gen( x, "very_large_positive.json" ); +# Very large positive values +x = range(50.0f0, stop = 500.0f0, length = 5003); gen(x, "very_large_positive.json"); -# Huge positive values: -x = range( 1.0e300, stop = 1.0e308, length = 5003 ); -gen( x, "huge_positive.json" ); +# Huge positive values (Float32 max is approx 3.4e38) +x = range(1.0f30, stop = 3.0f38, length = 5003); gen(x, "huge_positive.json"); -# Negative small values: -x = range( -0.8, stop = -3.0, length = 5003 ); -gen( x, "small_negative.json" ); +# Negative small values +x = range(-0.8f0, stop = -3.0f0, length = 5003); gen(x, "small_negative.json"); -# The full gamut of positive magnitudes: -x = [ 10.0^x for x in range( -323.0, stop = 308.0, length = 632 ) ]; -gen( x, "positive_gamut.json" ); +# The full gamut of positive magnitudes (Float32 exponents roughly -45 to +38) +x = [10.0f0^x for x in range(-45.0f0, stop = 38.0f0, length = 632)]; gen(x, "positive_gamut.json"); -# The full gamut of negative magnitudes: -x = [ -( 10.0^x ) for x in range( -323.0, stop = 308.0, length = 632 ) ]; -gen( x, "negative_gamut.json" ); +# The full gamut of negative magnitudes +x = [-(10.0f0^x) for x in range(-45.0f0, stop = 38.0f0, length = 632)]; gen(x, "negative_gamut.json"); diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_negative.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_negative.json index 688075446490..4b9e16d9eaef 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_negative.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_negative.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_positive.json index 559b404ac557..5b2551d4167e 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_positive.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/small_positive.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/smaller.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/smaller.json index db16efac6e41..2a04290785e2 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/smaller.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/smaller.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/subnormal.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/subnormal.json index 1199731ced83..1e663250350c 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/subnormal.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/subnormal.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/tiny_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/tiny_positive.json index f232d7d3c50c..1e663250350c 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/tiny_positive.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/tiny_positive.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/very_large_positive.json b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/very_large_positive.json index 3aeef5127dd2..1fa66ec18655 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/very_large_positive.json +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/fixtures/julia/very_large_positive.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js index a6a824c907d4..99ad4f63a9b1 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.js @@ -73,7 +73,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 850.0 * EPS * abs( e ); + tol = 800.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -98,7 +98,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 1460.0 * EPS * abs( e ); + tol = 1450.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -123,7 +123,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 520.0 * EPS * abs( e ); + tol = 500.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -148,7 +148,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 140.0 * EPS * abs( e ); + tol = 130.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -173,7 +173,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 140.0 * EPS * abs( e ); + tol = 130.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -198,7 +198,7 @@ tape( 'the function evaluates Bessel function of the first kind of zero order (J t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 3.5 * EPS * abs( e ); + tol = 2.5 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -273,7 +273,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 920.0 * EPS * abs( e ); + tol = 900.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -298,7 +298,7 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 50.0 * EPS * abs( e ); + tol = 16.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -323,7 +323,7 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 50.0 * EPS * abs( e ); + tol = 16.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } diff --git a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js index 99538c5a640e..95a9a620228d 100644 --- a/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/besselj0f/test/test.native.js @@ -82,7 +82,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 850.0 * EPS * abs( e ); + tol = 800.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -107,7 +107,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 1460.0 * EPS * abs( e ); + tol = 1450.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -132,7 +132,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 520.0 * EPS * abs( e ); + tol = 500.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -159,7 +159,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde delta = abs( y - e ); // NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2774#discussion_r1712904184 - tol = 141.4 * EPS * abs( e ); + tol = 131.4 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -186,7 +186,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde delta = abs( y - e ); // NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2774#discussion_r1712904184 - tol = 141.4 * EPS * abs( e ); + tol = 131.4 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -211,7 +211,7 @@ tape( 'the function evaluates Bessel function of the first kind of zero order (J t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 3.5 * EPS * abs( e ); + tol = 2.5 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -286,7 +286,7 @@ tape( 'the function evaluates the Bessel function of the first kind of zero orde t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 920.0 * EPS * abs( e ); + tol = 900.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -311,7 +311,7 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 50.0 * EPS * abs( e ); + tol = 16.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } } @@ -336,7 +336,7 @@ tape( 'the function evaluates the Bessel function of the first kind of order zer t.strictEqual( y, e, 'x: '+x[i]+', y: '+y+', expected: '+e ); } else { delta = abs( y - e ); - tol = 50.0 * EPS * abs( e ); + tol = 16.0 * EPS * abs( e ); t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' ); } }