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Merge branch 'staging' into release
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‎.github/workflows/ci.yml‎

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with:
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github_token: ${{ secrets.GITHUB_TOKEN }}
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publish_dir: ./${{ steps.badge_dir.outputs.dir }}
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destination_dir: ${{ steps.badge_dir.outputs.dir }}
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destination_dir: ${{ steps.badge_dir.outputs.dir }}
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coverage:
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name: coverage / ubuntu-24.04 / gcc-14
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runs-on: ubuntu-24.04
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needs: build
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env:
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CC: gcc-14
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CXX: g++-14
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GCOV: gcov-14
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steps:
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- name: Checkout
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uses: actions/checkout@v5
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with:
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fetch-depth: 0
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- name: Install dependencies
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shell: bash
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run: |
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sudo apt-get update
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sudo apt-get install -y cmake ninja-build gcc-14 g++-14 lcov
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- name: Configure
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shell: bash
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run: |
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cmake -S . -B build -G Ninja -DCMAKE_BUILD_TYPE=Debug -DCMAKE_C_COMPILER=gcc-14 -DCMAKE_CXX_COMPILER=g++-14 -DCMAKE_C_FLAGS="--coverage -O0 -g" -DCMAKE_CXX_FLAGS="--coverage -O0 -g"
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- name: Build
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shell: bash
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run: |
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cmake --build build --parallel
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- name: Test
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shell: bash
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run: |
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ctest --test-dir build --output-on-failure --parallel
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- name: Capture coverage
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shell: bash
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run: |
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lcov --gcov-tool /usr/bin/gcov-14 --rc geninfo_unexecuted_blocks=1 --directory build --capture --output-file coverage.full.info
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lcov --gcov-tool /usr/bin/gcov-14 --remove coverage.full.info '/usr/*' '*/test/*' '*/thirdparty/*' --ignore-errors unused --output-file coverage.info
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rm coverage.full.info
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lcov --gcov-tool /usr/bin/gcov-14 --list coverage.info
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- name: Upload coverage reports to Codecov
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uses: codecov/codecov-action@v5
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with:
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files: coverage.info
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fail_ci_if_error: true
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env:
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CODECOV_TOKEN: ${{ secrets.CODECOV_TOKEN }}

‎CMakeLists.txt‎

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add_test_case(example)
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add_test_case(decimal)
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add_test_case(decimal-bid-spec)
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add_test_case(decimal-display)
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add_test_case(float-conversion)
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add_test_case(ops-add-sub)
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add_test_case(ops-mul-div)
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add_test_case(ops-transcendental)
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add_test_case(import-export)
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add_test_case(constants)
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add_test_case(algebraic-identities)
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endif()
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# ------------------------------------------------------------------------------
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# MkDocs Documentation Targets

‎README.md‎

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11

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[![CI](https://github.com/vargalabs/libdecimal/actions/workflows/ci.yml/badge.svg)](https://github.com/vargalabs/libdecimal/actions/workflows/ci.yml)
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[![codecov](https://codecov.io/gh/vargalabs/libdecimal/branch/main/graph/badge.svg)](https://codecov.io/gh/vargalabs/libdecimal)
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[![codecov](https://codecov.io/gh/vargalabs/libdecimal/graph/badge.svg?token=F6YCNG3HEY)](https://codecov.io/gh/vargalabs/libdecimal)
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[![MIT License](https://img.shields.io/badge/license-MIT-green.svg)](LICENSE)
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[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.19323619.svg)](https://doi.org/10.5281/zenodo.19323619)
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[![GitHub release](https://img.shields.io/github/v/release/vargalabs/libdecimal.svg)](https://github.com/vargalabs/libdecimal/releases)
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target_link_libraries(app PRIVATE libdecimal::libdecimal)
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```
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## Attribution
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**LIBDECIMAL** builds on Intel’s LIBBID implementation of IEEE 754 decimal arithmetic. **The heavy lifting** — the arithmetic itself — comes from the work **of Marius Cornea, John Harrison, Cristina Anderson, and Evgeny Gvozdev**. **The** underlying **model** traces back **to Mike Cowlishaw** and the IEEE 754 standard.
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**The template/macro contraption** that makes it usable in modern C++, **along with the full decomposition of BID into sign, significand, and exponent** — that **is on me**.
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[200]: https://vargalabs.github.io/libdecimal/badges/ubuntu-22.04-gcc-13.svg
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[201]: https://vargalabs.github.io/libdecimal/badges/ubuntu-22.04-gcc-14.svg
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[202]: https://vargalabs.github.io/libdecimal/badges/ubuntu-22.04-gcc-15.svg

‎docs/constants.md‎

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All constants are compile-time initialized via string → `decimal_t<T>` conversion. High-precision decimal constants defined in `math::constants<T>`, where `T` controls precision.
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=== "Example"
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```cpp
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using decimal = math::constants<uint64_t>;
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auto x = decimal::pi;
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auto y = decimal::sqrt2;
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auto z = decimal::deg_to_rad * angle;
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// composability
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auto circumference = decimal::two_pi * r;
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auto angle_rad = deg * decimal::deg_to_rad;
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auto exp_growth = decimal::e.pow(t);
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```
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=== ":material-decimal-decrease:{.icon} decimal32"
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```cpp
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template <> struct constants<uint32_t>{ // 7 digit precision
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using decimal_t = typename math::decimal_t<uint32_t>;
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inline static const decimal_t nan = static_cast<decimal_t>("nan");
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inline static const decimal_t inf = static_cast<decimal_t>("inf");
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inline static const decimal_t zero = static_cast<decimal_t>("0");
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inline static const decimal_t one = static_cast<decimal_t>("1");
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inline static const decimal_t pi = static_cast<decimal_t>("3.141593");
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inline static const decimal_t tau = static_cast<decimal_t>("6.283185");
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inline static const decimal_t e = static_cast<decimal_t>("2.718282");
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inline static const decimal_t phi = static_cast<decimal_t>("1.618034");
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inline static const decimal_t golden_ratio = phi;
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inline static const decimal_t silver_ratio = static_cast<decimal_t>("2.414214");
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inline static const decimal_t sqrt2 = static_cast<decimal_t>("1.414214");
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inline static const decimal_t sqrt3 = static_cast<decimal_t>("1.732051");
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inline static const decimal_t sqrt5 = static_cast<decimal_t>("2.236068");
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inline static const decimal_t ln2 = static_cast<decimal_t>("0.693147");
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inline static const decimal_t ln10 = static_cast<decimal_t>("2.302586");
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inline static const decimal_t log2e = static_cast<decimal_t>("1.442696");
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inline static const decimal_t log10e = static_cast<decimal_t>("0.4342945");
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inline static const decimal_t deg_to_rad = static_cast<decimal_t>("0.01745329");
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inline static const decimal_t rad_to_deg = static_cast<decimal_t>("57.29578");
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inline static const decimal_t inv_pi = static_cast<decimal_t>("0.3183099");
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inline static const decimal_t two_pi = static_cast<decimal_t>("6.283185");
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inline static const decimal_t half_pi = static_cast<decimal_t>("1.570796");
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inline static const decimal_t quarter_pi = static_cast<decimal_t>("0.7853982");
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inline static const decimal_t cube_root_2 = static_cast<decimal_t>("1.259921");
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inline static const decimal_t cube_root_3 = static_cast<decimal_t>("1.4422496");
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};
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```
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=== ":material-decimal:{.icon} decimal64"
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```cpp
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template <> struct constants<uint64_t> { // 16 digit precision
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using decimal_t = typename math::decimal_t<uint64_t>;
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inline static const decimal_t nan = static_cast<decimal_t>("nan");
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inline static const decimal_t inf = static_cast<decimal_t>("inf");
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inline static const decimal_t zero = static_cast<decimal_t>("0");
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inline static const decimal_t one = static_cast<decimal_t>("1");
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inline static const decimal_t pi = static_cast<decimal_t>("3.141592653589793");
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inline static const decimal_t tau = static_cast<decimal_t>("6.283185307179586");
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inline static const decimal_t e = static_cast<decimal_t>("2.718281828459045");
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inline static const decimal_t phi = static_cast<decimal_t>("1.618033988749895");
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inline static const decimal_t silver_ratio = static_cast<decimal_t>("2.414213562373095");
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inline static const decimal_t sqrt2 = static_cast<decimal_t>("1.414213562373095");
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inline static const decimal_t sqrt3 = static_cast<decimal_t>("1.732050807568877");
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inline static const decimal_t sqrt5 = static_cast<decimal_t>("2.236067977499790");
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inline static const decimal_t ln2 = static_cast<decimal_t>("0.6931471805599453");
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inline static const decimal_t ln10 = static_cast<decimal_t>("2.302585092994046");
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inline static const decimal_t log2e = static_cast<decimal_t>("1.442695040888963");
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inline static const decimal_t log10e = static_cast<decimal_t>("0.4342944819032518");
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inline static const decimal_t deg_to_rad = static_cast<decimal_t>("0.01745329251994330");
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inline static const decimal_t rad_to_deg = static_cast<decimal_t>("57.29577951308232");
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inline static const decimal_t inv_pi = static_cast<decimal_t>("0.3183098861837907");
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inline static const decimal_t two_pi = static_cast<decimal_t>("6.283185307179586");
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inline static const decimal_t half_pi = static_cast<decimal_t>("1.570796326794897");
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inline static const decimal_t quarter_pi = static_cast<decimal_t>("0.785398163397448");
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inline static const decimal_t cube_root_2 = static_cast<decimal_t>("1.259921049894873");
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inline static const decimal_t cube_root_3 = static_cast<decimal_t>("1.442249570307408");
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};
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```
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=== ":material-decimal-increase:{.icon} decimal128"
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```cpp
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template <> struct constants<BID_UINT128> { // 34 digit precision
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using decimal_t = typename math::decimal_t<BID_UINT128>;
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inline static const decimal_t nan = static_cast<decimal_t>("nan");
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inline static const decimal_t inf = static_cast<decimal_t>("inf");
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inline static const decimal_t zero = static_cast<decimal_t>("0");
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inline static const decimal_t one = static_cast<decimal_t>("1");
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inline static const decimal_t pi = static_cast<decimal_t>("3.1415926535897932384626433832795029");
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inline static const decimal_t tau = static_cast<decimal_t>("6.2831853071795864769252867665590058");
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inline static const decimal_t e = static_cast<decimal_t>("2.7182818284590452353602874713526625");
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inline static const decimal_t phi = static_cast<decimal_t>("1.6180339887498948482045868343656381");
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inline static const decimal_t golden_ratio = phi;
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inline static const decimal_t silver_ratio = static_cast<decimal_t>("2.4142135623730950488016887242096981");
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inline static const decimal_t sqrt2 = static_cast<decimal_t>("1.4142135623730950488016887242096981");
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inline static const decimal_t sqrt3 = static_cast<decimal_t>("1.7320508075688772935274463415058724");
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inline static const decimal_t sqrt5 = static_cast<decimal_t>("2.2360679774997896964091736687312762");
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inline static const decimal_t ln2 = static_cast<decimal_t>("0.6931471805599453094172321214581766");
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inline static const decimal_t ln10 = static_cast<decimal_t>("2.3025850929940456840179914546843642");
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inline static const decimal_t log2e = static_cast<decimal_t>("1.4426950408889634073599246810018921");
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inline static const decimal_t log10e = static_cast<decimal_t>("0.4342944819032518276511289189166051");
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inline static const decimal_t deg_to_rad = static_cast<decimal_t>("0.0174532925199432957692369076848861");
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inline static const decimal_t rad_to_deg = static_cast<decimal_t>("57.2957795130823208767981548141051703");
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inline static const decimal_t inv_pi = static_cast<decimal_t>("0.3183098861837906715377675267450287");
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inline static const decimal_t two_pi = tau;
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inline static const decimal_t half_pi = static_cast<decimal_t>("1.5707963267948966192313216916397514");
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inline static const decimal_t quarter_pi = static_cast<decimal_t>("0.7853981633974483096156608458198757");
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inline static const decimal_t cube_root_2 = static_cast<decimal_t>("1.2599210498948731647672106072782284");
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inline static const decimal_t cube_root_3 = static_cast<decimal_t>("1.4422495703074083823216383107801096");
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};
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```
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<div class="clear-both"></div>

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