Vulkan spec

This commit is contained in:
2026-05-25 11:04:30 +01:00
commit d86a518b7d
375 changed files with 77089 additions and 0 deletions
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.cache
ccmat
cmat
main
compile_commands.json
rgb_u8_to_f32.py
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struct Vertex {
float3 position;
float3 color;
};
static float4x4 model = {
{ 1.00000, 0.00000, 0.00000, 0.00000},
{ 0.00000, 1.00000, 0.00000, 0.00000},
{ 0.00000, 0.00000, 1.00000, 0.00000},
{ 0.00000, 0.00000, 0.00000, 1.00000},
};
static float4x4 view = {
{ 0.80000, 0.00000, -0.60000, -0.00000},
{ 0.22283, 0.92848, 0.29711, -0.00000},
{ 0.55709, -0.37139, 0.74278, -5.38516},
{ 0.00000, 0.00000, 0.00000, 1.00000},
};
static float4x4 proj = {
{ 1.81066, 0.00000, 0.00000, 0.00000},
{ 0.00000, 2.41421, 0.00000, 0.00000},
{ 0.00000, 0.00000, -1.02020, -0.20202},
{ 0.00000, 0.00000, -1.00000, 0.00000},
};
struct VertexOutput {
float3 color;
float4 sv_position : SV_Position;
};
[shader("vertex")]
VertexOutput vertMain(Vertex vertex) {
VertexOutput output;
output.color = vertex.color;
output.sv_position = mul(proj, mul(view, mul(model, float4(vertex.position, 1.0))));
return output;
}
[shader("fragment")]
float4 fragMain(VertexOutput inVert) : SV_Target {
return float4(inVert.color, 1.0);
}
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#!/bin/bash
slangc 09_shader_base.slang -entry vertMain -entry fragMain -o 09_shader_base.spv
bear -- gcc -g -DNDEBUG -DVK_NO_PROTOTYPES -I$VULKAN_SDK/include -Iwapp/dist/include/ -Icglm/include -Lwapp/dist/lib/ $VULKAN_SDK/include/volk/volk.c main.c -lSDL3 -lwapp -lm -o main
clang -Icglm/include mat.c -lm -o cmat
clang++ mat.cc -lglm -o ccmat
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*.h linguist-language=C
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# These are supported funding model platforms
github: [recp]
patreon: recp
open_collective: cglm
ko_fi: # Replace with a single Ko-fi username
tidelift: # Replace with a single Tidelift platform-name/package-name e.g., npm/babel
custom: # Replace with a single custom sponsorship URL
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name: CI
on:
push:
branches: [ "master" ]
pull_request:
branches: [ "master" ]
jobs:
build_autotools:
name: Autotools / ${{ matrix.os }} / ${{ matrix.simd }}
runs-on: ${{ matrix.os }}
strategy:
fail-fast: false
matrix:
include:
# x86/x64 builds
- { os: macos-13, simd: none }
- { os: macos-13, simd: sse }
- { os: macos-13, simd: sse2 }
- { os: macos-13, simd: sse3 }
- { os: macos-13, simd: sse4 }
- { os: macos-13, simd: avx }
- { os: macos-13, simd: avx2 }
- { os: macos-14, simd: none }
- { os: macos-14, simd: sse }
- { os: macos-14, simd: sse2 }
- { os: macos-14, simd: sse3 }
- { os: macos-14, simd: sse4 }
- { os: macos-14, simd: avx }
- { os: macos-14, simd: avx2 }
- { os: ubuntu-22.04, simd: none }
- { os: ubuntu-22.04, simd: sse }
- { os: ubuntu-22.04, simd: sse2 }
- { os: ubuntu-22.04, simd: sse3 }
- { os: ubuntu-22.04, simd: sse4 }
- { os: ubuntu-22.04, simd: avx }
- { os: ubuntu-22.04, simd: avx2 }
- { os: ubuntu-24.04, simd: none }
- { os: ubuntu-24.04, simd: sse }
- { os: ubuntu-24.04, simd: sse2 }
- { os: ubuntu-24.04, simd: sse3 }
- { os: ubuntu-24.04, simd: sse4 }
- { os: ubuntu-24.04, simd: avx }
- { os: ubuntu-24.04, simd: avx2 }
# ARM64 builds
- { os: ubuntu-latest-arm64, simd: neon }
steps:
- uses: actions/checkout@v4
- name: Install Autotools on macOS
if: runner.os == 'macOS'
run: brew upgrade && brew install autoconf automake libtool
- name: Install Autotools on Ubuntu
if: matrix.os == 'ubuntu-22.04' || matrix.os == 'ubuntu-24.04'
run: sudo apt-get install -y autoconf automake libtool
- name: Set SIMD flags
run: |
if [ "${{ matrix.simd }}" == "none" ]; then
export CFLAGS=""
elif [ "${{ matrix.simd }}" == "sse" ]; then
export CFLAGS="-msse"
elif [ "${{ matrix.simd }}" == "sse2" ]; then
export CFLAGS="-msse2"
elif [ "${{ matrix.simd }}" == "sse3" ]; then
export CFLAGS="-msse3"
elif [ "${{ matrix.simd }}" == "sse4" ]; then
export CFLAGS="-msse4"
elif [ "${{ matrix.simd }}" == "avx" ]; then
export CFLAGS="-mavx"
elif [ "${{ matrix.simd }}" == "avx2" ]; then
export CFLAGS="-mavx2"
elif [ "${{ matrix.simd }}" == "neon" ]; then
export CFLAGS="-mfpu=neon"
fi
- name: Generate Autotools
run: ./autogen.sh
- name: Configure Autotools
run: ./configure CFLAGS="$CFLAGS"
- name: Build
run: make
- name: Test
run: make check
build_cmake_ios:
name: CMake / iOS
runs-on: macos-14
steps:
- uses: actions/checkout@v4
- name: Configure CMake
run: |
cmake \
-B build \
-GXcode \
-DCMAKE_SYSTEM_NAME=iOS \
-DCMAKE_BUILD_TYPE=Release \
-DCMAKE_XCODE_ATTRIBUTE_CODE_SIGNING_ALLOWED=NO \
-DCGLM_STATIC=ON \
-DCGLM_USE_TEST=ON
- name: Build
run: cmake --build build
build_cmake_ubuntu:
name: CMake / ${{ matrix.target.os }} / ${{ matrix.target.cc }} / ${{ matrix.target.arch }} / ${{ matrix.target.simd }}
runs-on: ${{ matrix.target.arch == 'arm64' && 'ubuntu-latest-arm64' || matrix.target.os }}
strategy:
fail-fast: false
matrix:
target:
# GCC 11 builds
- { os: ubuntu-20.04, cc: gcc-11, arch: x64, simd: none }
- { os: ubuntu-20.04, cc: gcc-11, arch: x64, simd: sse }
- { os: ubuntu-20.04, cc: gcc-11, arch: x64, simd: sse2 }
- { os: ubuntu-20.04, cc: gcc-11, arch: x64, simd: sse3 }
- { os: ubuntu-20.04, cc: gcc-11, arch: x64, simd: sse4 }
- { os: ubuntu-20.04, cc: gcc-11, arch: x64, simd: avx }
- { os: ubuntu-20.04, cc: gcc-11, arch: x64, simd: avx2 }
# GCC 12 builds
- { os: ubuntu-22.04, cc: gcc-12, arch: x64, simd: none }
- { os: ubuntu-22.04, cc: gcc-12, arch: x64, simd: sse }
- { os: ubuntu-22.04, cc: gcc-12, arch: x64, simd: sse2 }
- { os: ubuntu-22.04, cc: gcc-12, arch: x64, simd: sse3 }
- { os: ubuntu-22.04, cc: gcc-12, arch: x64, simd: sse4 }
- { os: ubuntu-22.04, cc: gcc-12, arch: x64, simd: avx }
- { os: ubuntu-22.04, cc: gcc-12, arch: x64, simd: avx2 }
# GCC 13 builds
- { os: ubuntu-24.04, cc: gcc-13, arch: x64, simd: none }
- { os: ubuntu-24.04, cc: gcc-13, arch: x64, simd: sse }
- { os: ubuntu-24.04, cc: gcc-13, arch: x64, simd: sse2 }
- { os: ubuntu-24.04, cc: gcc-13, arch: x64, simd: sse3 }
- { os: ubuntu-24.04, cc: gcc-13, arch: x64, simd: sse4 }
- { os: ubuntu-24.04, cc: gcc-13, arch: x64, simd: avx }
- { os: ubuntu-24.04, cc: gcc-13, arch: x64, simd: avx2 }
# Clang 12 builds
- { os: ubuntu-20.04, cc: clang-12, arch: x64, simd: none }
- { os: ubuntu-20.04, cc: clang-12, arch: x64, simd: sse }
- { os: ubuntu-20.04, cc: clang-12, arch: x64, simd: sse2 }
- { os: ubuntu-20.04, cc: clang-12, arch: x64, simd: sse3 }
- { os: ubuntu-20.04, cc: clang-12, arch: x64, simd: sse4 }
- { os: ubuntu-20.04, cc: clang-12, arch: x64, simd: avx }
- { os: ubuntu-20.04, cc: clang-12, arch: x64, simd: avx2 }
# Clang 15 builds
- { os: ubuntu-22.04, cc: clang-15, arch: x64, simd: none }
- { os: ubuntu-22.04, cc: clang-15, arch: x64, simd: sse }
- { os: ubuntu-22.04, cc: clang-15, arch: x64, simd: sse2 }
- { os: ubuntu-22.04, cc: clang-15, arch: x64, simd: sse3 }
- { os: ubuntu-22.04, cc: clang-15, arch: x64, simd: sse4 }
- { os: ubuntu-22.04, cc: clang-15, arch: x64, simd: avx }
- { os: ubuntu-22.04, cc: clang-15, arch: x64, simd: avx2 }
# ARM64 builds
- { os: ubuntu-latest, cc: gcc-12, arch: arm64, simd: neon }
- { os: ubuntu-latest, cc: gcc-13, arch: arm64, simd: neon }
# ARMv7 builds
- { os: ubuntu-latest-arm64, cc: gcc-12, arch: armv7, simd: neon }
- { os: ubuntu-latest-arm64, cc: gcc-12, arch: armv7, simd: none }
steps:
- uses: actions/checkout@v4
- name: Add Ubuntu Toolchain PPA
if: matrix.target.os == 'ubuntu-20.04'
run: |
sudo apt-get update
sudo apt-get install -y software-properties-common
sudo add-apt-repository -y ppa:ubuntu-toolchain-r/test
sudo apt-get update
- name: Install Compiler and Ninja
run: |
sudo apt-get install -y ${{ matrix.target.cc }} ninja-build
- name: Set SIMD flags
run: |
if [ "${{ matrix.simd }}" == "none" ]; then
export CFLAGS=""
elif [ "${{ matrix.simd }}" == "sse" ]; then
export CFLAGS="-msse"
elif [ "${{ matrix.simd }}" == "sse2" ]; then
export CFLAGS="-msse2"
elif [ "${{ matrix.simd }}" == "sse3" ]; then
export CFLAGS="-msse3"
elif [ "${{ matrix.simd }}" == "sse4" ]; then
export CFLAGS="-msse4"
elif [ "${{ matrix.simd }}" == "avx" ]; then
export CFLAGS="-mavx"
elif [ "${{ matrix.simd }}" == "avx2" ]; then
export CFLAGS="-mavx2"
elif [ "${{ matrix.simd }}" == "neon" ]; then
export CFLAGS="-mfpu=neon"
fi
- name: Configure CMake
run: |
if [ "${{ matrix.target.arch }}" == "armv7" ]; then
# Build for ARMv7
neon_flags=""
if [ "${{ matrix.simd }}" == "neon" ]; then
neon_flags="-mfpu=neon -mfloat-abi=hard"
fi
cmake -B build -GNinja -DCMAKE_BUILD_TYPE=Release \
-DCMAKE_C_COMPILER=${{ matrix.target.cc }} \
-DCMAKE_C_FLAGS="$CFLAGS -m32 -march=armv7-a ${neon_flags}" \
-DCGLM_STATIC=ON -DCGLM_USE_TEST=ON
elif [ "${{ matrix.target.arch }}" == "arm64" ]; then
# Build for ARM64 (AArch64)
neon_flags=""
if [ "${{ matrix.simd }}" == "neon" ]; then
neon_flags="+simd" # Enable SIMD/NEON features on ARM64
else
neon_flags="+nosimd" # Explicitly disable SIMD/NEON
fi
cmake -B build -GNinja -DCMAKE_BUILD_TYPE=Release \
-DCMAKE_C_COMPILER=${{ matrix.target.cc }} \
-DCMAKE_C_FLAGS="$CFLAGS -march=armv8-a${neon_flags}" \
-DCGLM_STATIC=ON -DCGLM_USE_TEST=ON
else
# Normal build (x86/x64)
cmake -B build -GNinja -DCMAKE_BUILD_TYPE=Release \
-DCMAKE_C_COMPILER=${{ matrix.target.cc }} \
-DCMAKE_C_FLAGS="$CFLAGS" \
-DCGLM_STATIC=ON -DCGLM_USE_TEST=ON
fi
- name: Build
run: cmake --build build
- name: Test
working-directory: build
run: ./tests
build_cmake_macos:
name: CMake / ${{ matrix.os }}
runs-on: ${{ matrix.os }}
strategy:
fail-fast: false
matrix:
os: [macos-13, macos-14]
steps:
- uses: actions/checkout@v4
- name: Install Ninja
if: runner.os == 'macOS'
run: brew upgrade && brew install ninja
- name: Configure CMake
run: |
cmake \
-B build \
-GNinja \
-DCMAKE_BUILD_TYPE=Release \
-DCGLM_STATIC=ON \
-DCGLM_USE_TEST=ON
- name: Build
run: cmake --build build
- name: Test
working-directory: build
run: ./tests
build_cmake:
name: CMake / ${{ matrix.os }} / ${{ matrix.simd }}
runs-on: ${{ matrix.os }}
strategy:
fail-fast: false
matrix:
include:
# x86/x64 builds
- { os: macos-13, simd: none }
- { os: macos-13, simd: sse }
- { os: macos-13, simd: sse2 }
- { os: macos-13, simd: sse3 }
- { os: macos-13, simd: sse4 }
- { os: macos-13, simd: avx }
- { os: macos-13, simd: avx2 }
- { os: macos-14, simd: none }
- { os: macos-14, simd: sse }
- { os: macos-14, simd: sse2 }
- { os: macos-14, simd: sse3 }
- { os: macos-14, simd: sse4 }
- { os: macos-14, simd: avx }
- { os: macos-14, simd: avx2 }
- { os: windows-2022, simd: none }
- { os: windows-2022, simd: sse }
- { os: windows-2022, simd: sse2 }
- { os: windows-2022, simd: sse3 }
- { os: windows-2022, simd: sse4 }
- { os: windows-2022, simd: avx }
- { os: windows-2022, simd: avx2 }
# ARM64 builds
- { os: macos-14-arm64, simd: neon }
steps:
- uses: actions/checkout@v4
- name: Install Ninja on macOS
if: runner.os == 'macOS'
run: brew upgrade && brew install ninja
- name: Set SIMD flags (Windows)
if: runner.os == 'Windows'
shell: pwsh
run: |
$simd = "${{ matrix.simd }}"
if ($simd -eq "none") {
$env:CFLAGS = ""
} elseif ($simd -eq "sse") {
$env:CFLAGS = "-arch:SSE"
} elseif ($simd -eq "sse2") {
$env:CFLAGS = "-arch:SSE2"
} elseif ($simd -eq "sse3") {
$env:CFLAGS = "-arch:SSE3"
} elseif ($simd -eq "sse4") {
$env:CFLAGS = "-arch:SSE4"
} elseif ($simd -eq "avx") {
$env:CFLAGS = "-arch:AVX"
} elseif ($simd -eq "avx2") {
$env:CFLAGS = "-arch:AVX2"
} elseif ($simd -eq "neon") {
$env:CFLAGS = "-arch:NEON"
}
- name: Set SIMD flags (Unix)
if: runner.os != 'Windows'
shell: bash
run: |
if [ "${{ matrix.simd }}" == "none" ]; then
export CFLAGS=""
elif [ "${{ matrix.simd }}" == "sse" ]; then
export CFLAGS="-msse"
elif [ "${{ matrix.simd }}" == "sse2" ]; then
export CFLAGS="-msse2"
elif [ "${{ matrix.simd }}" == "sse3" ]; then
export CFLAGS="-msse3"
elif [ "${{ matrix.simd }}" == "sse4" ]; then
export CFLAGS="-msse4"
elif [ "${{ matrix.simd }}" == "avx" ]; then
export CFLAGS="-mavx"
elif [ "${{ matrix.simd }}" == "avx2" ]; then
export CFLAGS="-mavx2"
elif [ "${{ matrix.simd }}" == "neon" ]; then
export CFLAGS="-mfpu=neon"
fi
- name: Configure CMake (Windows)
if: runner.os == 'Windows'
shell: pwsh
run: cmake -B build -G "Visual Studio 17 2022" -A x64 -T host=x64 -DCMAKE_BUILD_TYPE=Release -DCMAKE_C_FLAGS="$env:CFLAGS" -DCGLM_STATIC=ON -DCGLM_USE_TEST=ON
- name: Configure CMake (Unix)
if: runner.os != 'Windows'
shell: bash
run: cmake -B build -GNinja -DCMAKE_BUILD_TYPE=Release -DCMAKE_C_FLAGS="$CFLAGS" -DCGLM_STATIC=ON -DCGLM_USE_TEST=ON
- name: Build
run: cmake --build build
- name: Test (Windows)
if: runner.os == 'Windows'
shell: pwsh
working-directory: build
run: .\Debug\tests.exe
- name: Test (Unix)
if: runner.os != 'Windows'
shell: bash
working-directory: build
run: ./tests
build_meson:
name: Meson / ${{ matrix.os }} / ${{ matrix.simd }}
runs-on: ${{ contains(matrix.os, 'arm64') && 'ubuntu-latest-arm64' || matrix.os }}
strategy:
fail-fast: false
matrix:
include:
# x86/x64 builds
- { os: macos-14, simd: none }
- { os: macos-14, simd: sse }
- { os: macos-14, simd: sse2 }
- { os: macos-14, simd: sse3 }
- { os: macos-14, simd: sse4 }
- { os: macos-14, simd: avx }
- { os: macos-14, simd: avx2 }
- { os: ubuntu-22.04, simd: none }
- { os: ubuntu-22.04, simd: sse }
- { os: ubuntu-22.04, simd: sse2 }
- { os: ubuntu-22.04, simd: sse3 }
- { os: ubuntu-22.04, simd: sse4 }
- { os: ubuntu-22.04, simd: avx }
- { os: ubuntu-22.04, simd: avx2 }
- { os: ubuntu-24.04, simd: none }
- { os: ubuntu-24.04, simd: sse }
- { os: ubuntu-24.04, simd: sse2 }
- { os: ubuntu-24.04, simd: sse3 }
- { os: ubuntu-24.04, simd: sse4 }
- { os: ubuntu-24.04, simd: avx }
- { os: ubuntu-24.04, simd: avx2 }
- { os: windows-2022, simd: none }
- { os: windows-2022, simd: sse }
- { os: windows-2022, simd: sse2 }
- { os: windows-2022, simd: sse3 }
- { os: windows-2022, simd: sse4 }
- { os: windows-2022, simd: avx }
- { os: windows-2022, simd: avx2 }
# ARM64 builds
- { os: ubuntu-latest-arm64, simd: neon }
steps:
- uses: actions/checkout@v4
- uses: actions/setup-python@v5
with:
python-version: '3.12'
cache: 'pip'
- name: Install meson
run: python3 -m pip install meson ninja
- name: Set SIMD flags (Windows)
if: runner.os == 'Windows'
shell: pwsh
run: |
$simd = "${{ matrix.simd }}"
if ($simd -eq "none") {
$env:CFLAGS = ""
} elseif ($simd -eq "sse") {
$env:CFLAGS = "-arch:SSE"
} elseif ($simd -eq "sse2") {
$env:CFLAGS = "-arch:SSE2"
} elseif ($simd -eq "sse3") {
$env:CFLAGS = "-arch:SSE3"
} elseif ($simd -eq "sse4") {
$env:CFLAGS = "-arch:SSE4"
} elseif ($simd -eq "avx") {
$env:CFLAGS = "-arch:AVX"
} elseif ($simd -eq "avx2") {
$env:CFLAGS = "-arch:AVX2"
} elseif ($simd -eq "neon") {
$env:CFLAGS = "-arch:NEON"
}
- name: Set SIMD flags (Unix)
if: runner.os != 'Windows'
shell: bash
run: |
if [ "${{ matrix.simd }}" == "none" ]; then
export CFLAGS=""
elif [ "${{ matrix.simd }}" == "sse" ]; then
export CFLAGS="-msse"
elif [ "${{ matrix.simd }}" == "sse2" ]; then
export CFLAGS="-msse2"
elif [ "${{ matrix.simd }}" == "sse3" ]; then
export CFLAGS="-msse3"
elif [ "${{ matrix.simd }}" == "sse4" ]; then
export CFLAGS="-msse4"
elif [ "${{ matrix.simd }}" == "avx" ]; then
export CFLAGS="-mavx"
elif [ "${{ matrix.simd }}" == "avx2" ]; then
export CFLAGS="-mavx2"
elif [ "${{ matrix.simd }}" == "neon" ]; then
export CFLAGS="-mfpu=neon"
fi
- name: Build with meson (Windows)
if: runner.os == 'Windows'
shell: pwsh
run: |
meson setup build -Dbuildtype=release --default-library=static -Dbuild_tests=true -Dc_args="$env:CFLAGS"
meson test -C build
- name: Build with meson (Unix)
if: runner.os != 'Windows'
shell: bash
run: |
meson setup build -Dbuildtype=release --default-library=static -Dbuild_tests=true -Dc_args="$CFLAGS"
meson test -C build
build_msbuild:
name: MSBuild / Windows / ${{ matrix.simd }}
runs-on: windows-2022
strategy:
fail-fast: false
matrix:
simd: [none, sse, sse2, sse3, sse4, avx, avx2, neon]
steps:
- uses: actions/checkout@v4
- uses: microsoft/setup-msbuild@v2
- name: Retarget solution
run: |
vswhere -latest -products * -requires Microsoft.VisualStudio.Component.VC.Tools.x86.x64 -property installationPath
$vsInstallPath = vswhere -latest -products * -requires Microsoft.VisualStudio.Component.VC.Tools.x86.x64 -property installationPath
& "$vsInstallPath\Common7\IDE\devenv.com" cglm.sln /Upgrade
- name: Set SIMD flags
run: |
if ($Env:SIMD -eq 'none') {
$Env:CFLAGS=""
} elseif ($Env:SIMD -eq 'sse') {
$Env:CFLAGS="-arch:SSE"
} elseif ($Env:SIMD -eq 'sse2') {
$Env:CFLAGS="-arch:SSE2"
} elseif ($Env:SIMD -eq 'sse3') {
$Env:CFLAGS="-arch:SSE3"
} elseif ($Env:SIMD -eq 'sse4') {
$Env:CFLAGS="-arch:SSE4"
} elseif ($Env:SIMD -eq 'avx') {
$Env:CFLAGS="-arch:AVX"
} elseif ($Env:SIMD -eq 'avx2') {
$Env:CFLAGS="-arch:AVX2"
} elseif ($Env:SIMD -eq 'neon') {
$Env:CFLAGS="-arch:NEON"
}
- name: Build (x86)
working-directory: win
run: msbuild cglm.vcxproj /p:Configuration=Release /p:Platform=x86 /p:PlatformToolset=v143 /p:BuildInParallel=true /p:AdditionalOptions="$Env:CFLAGS"
- name: Build (x64)
working-directory: win
run: msbuild cglm.vcxproj /p:Configuration=Release /p:Platform=x64 /p:PlatformToolset=v143 /p:BuildInParallel=true /p:AdditionalOptions="$Env:CFLAGS"
build_documentation:
name: Documentation
runs-on: ubuntu-22.04
steps:
- uses: actions/checkout@v4
- uses: actions/setup-python@v5
with:
python-version: '3.12'
- name: Install Dependencies
working-directory: docs
run: python3 -m pip install -r requirements.txt
- name: Build
working-directory: docs
run: sphinx-build -W --keep-going source build
build_swift:
name: Swift ${{ matrix.swift }} / ${{ matrix.os }}
runs-on: ${{ matrix.os }}
strategy:
fail-fast: false
matrix:
os: [macos-13, macos-14, ubuntu-22.04]
# This has no test yet.
steps:
- uses: actions/checkout@v4
- name: Build
run: swift build
build_cmake_arm:
name: CMake / ARM / ${{ matrix.os }} / ${{ matrix.arch }} / ${{ matrix.simd }}
runs-on: ${{ matrix.os }}
strategy:
fail-fast: false
matrix:
include:
# Linux ARM builds
- os: ubuntu-latest-arm64
arch: arm64
simd: neon
- os: ubuntu-latest-arm64
arch: armv7
simd: neon
- os: ubuntu-latest-arm64
arch: armv7
simd: none
# Windows ARM builds
- os: windows-latest-arm64
arch: arm64
simd: neon
- os: windows-latest-arm64
arch: arm
simd: neon
- os: windows-latest-arm64
arch: arm
simd: none
steps:
- uses: actions/checkout@v4
- name: Configure CMake (Windows)
if: runner.os == 'Windows'
shell: pwsh
run: |
$flags = ""
if ("${{ matrix.arch }}" -eq "arm") {
$flags = "-m32 -march=armv7-a"
if ("${{ matrix.simd }}" -eq "neon") {
$flags += " -mfpu=neon"
}
}
elseif ("${{ matrix.simd }}" -eq "neon") {
$flags = "-march=armv8-a+simd"
}
cmake -B build -G "Visual Studio 17 2022" -A ${{ matrix.arch == 'arm64' && 'ARM64' || 'ARM' }} `
-DCMAKE_BUILD_TYPE=Release `
-DCMAKE_C_FLAGS="$flags" `
-DCGLM_STATIC=ON -DCGLM_USE_TEST=ON
- name: Configure CMake (Unix)
if: runner.os != 'Windows'
shell: bash
run: |
flags=""
if [ "${{ matrix.arch }}" = "armv7" ]; then
flags="-m32 -march=armv7-a"
if [ "${{ matrix.simd }}" = "neon" ]; then
flags="$flags -mfpu=neon -mfloat-abi=hard"
fi
elif [ "${{ matrix.simd }}" = "neon" ]; then
flags="-march=armv8-a+simd"
fi
cmake -B build -GNinja -DCMAKE_BUILD_TYPE=Release \
-DCMAKE_C_FLAGS="$flags" \
-DCGLM_STATIC=ON -DCGLM_USE_TEST=ON
- name: Build
run: cmake --build build
- name: Test
working-directory: build
run: ./tests
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@@ -0,0 +1,107 @@
name: CMake WebAssembly
on:
push:
branches: [ "master" ]
pull_request:
branches: [ "master" ]
env:
wasmtime_version: v7.0.0
wasmer_version: v3.1.1
jobs:
build_wasi_sdk:
strategy:
matrix:
BUILD_TYPE: [Release, Debug, RelWithDebInfo, MinSizeRel]
C_FLAGS: ['', '-msimd128']
wasi_sdk_version: [19, 20]
# The CMake configure and build commands are platform agnostic and should work equally well on Windows or Mac.
# You can convert this to a matrix build if you need cross-platform coverage.
# See: https://docs.github.com/en/free-pro-team@latest/actions/learn-github-actions/managing-complex-workflows#using-a-build-matrix
runs-on: ubuntu-latest
steps:
- uses: actions/checkout@v4
- name: Downloading wasi-sdk
run: |
cd ${{github.workspace}}
wget --no-verbose https://github.com/WebAssembly/wasi-sdk/releases/download/wasi-sdk-${{matrix.wasi_sdk_version}}/wasi-sdk-${{matrix.wasi_sdk_version}}.0-linux.tar.gz
tar xf wasi-sdk-${{matrix.wasi_sdk_version}}.0-linux.tar.gz
# Building a wasm library without needing to define a main():
# https://github.com/WebAssembly/wasi-sdk/issues/332
- name: Modify CMakeLists.txt for WASI
run: |
echo 'if (CMAKE_SYSTEM_NAME STREQUAL "WASI")' >> CMakeLists.txt
echo ' target_link_options(${PROJECT_NAME} PRIVATE -mexec-model=reactor)' >> CMakeLists.txt
echo 'endif()' >> CMakeLists.txt
- name: Configure CMake
# Configure CMake in a 'build' subdirectory. `CMAKE_BUILD_TYPE` is only required if you are using a single-configuration generator such as make.
# See https://cmake.org/cmake/help/latest/variable/CMAKE_BUILD_TYPE.html?highlight=cmake_build_type
# Below suppress <<'clock' is deprecated: WASI lacks process-associated clocks; ...>> warns:
# -D_WASI_EMULATED_PROCESS_CLOCKS" -DCMAKE_EXE_LINKER_FLAGS="-lwasi-emulated-process-clocks
run: cmake -B ${{github.workspace}}/build -DCMAKE_BUILD_TYPE=${{matrix.BUILD_TYPE}} -DCMAKE_C_FLAGS="${{matrix.C_FLAGS}} -D_WASI_EMULATED_PROCESS_CLOCKS" -DCMAKE_EXE_LINKER_FLAGS="-lwasi-emulated-process-clocks" -DCMAKE_TOOLCHAIN_FILE=${{github.workspace}}/wasi-sdk-${{matrix.wasi_sdk_version}}.0/share/cmake/wasi-sdk.cmake -DWASI_SDK_PREFIX=${{github.workspace}}/wasi-sdk-${{matrix.wasi_sdk_version}}.0 -DCGLM_STATIC=ON -DCGLM_SHARED=OFF -DCGLM_USE_TEST=ON
- name: Build
# Build your program with the given configuration
run: cmake --build ${{github.workspace}}/build --config ${{matrix.BUILD_TYPE}}
- name: Test with wasmtime
run: |
cd ${{github.workspace}}
ls -lh ${{github.workspace}}/build/
wget --no-verbose https://github.com/bytecodealliance/wasmtime/releases/download/${{env.wasmtime_version}}/wasmtime-${{env.wasmtime_version}}-x86_64-linux.tar.xz
tar xf wasmtime-${{env.wasmtime_version}}-x86_64-linux.tar.xz
./wasmtime-${{env.wasmtime_version}}-x86_64-linux/wasmtime run --wasm-features simd ${{github.workspace}}/build/tests
- name: Test with wasmer
run: |
cd ${{github.workspace}}
mkdir wasmer
cd wasmer
wget --no-verbose https://github.com/wasmerio/wasmer/releases/download/${{env.wasmer_version}}/wasmer-linux-amd64.tar.gz
tar xf wasmer-linux-amd64.tar.gz
./bin/wasmer run --enable-simd ${{github.workspace}}/build/tests
build_emsdk:
strategy:
matrix:
BUILD_TYPE: [Release, Debug, RelWithDebInfo, MinSizeRel]
C_FLAGS: ['', '-msimd128', '-msse -msse2 -msimd128', '-msse -msse2 -msse3 -msse4 -msimd128']
runs-on: ubuntu-latest
steps:
- uses: actions/checkout@v4
- name: Setup emsdk
uses: mymindstorm/setup-emsdk@v12
- name: Verify emsdk
run: emcc -v
- name: Configure CMake
# Configure CMake in a 'build' subdirectory. `CMAKE_BUILD_TYPE` is only required if you are using a single-configuration generator such as make.
# See https://cmake.org/cmake/help/latest/variable/CMAKE_BUILD_TYPE.html?highlight=cmake_build_type
run: emcmake cmake -B ${{github.workspace}}/build -DCMAKE_BUILD_TYPE=${{matrix.BUILD_TYPE}} -DCMAKE_C_FLAGS="${{matrix.C_FLAGS}}" -DCMAKE_EXE_LINKER_FLAGS="-s STANDALONE_WASM" -DCGLM_STATIC=ON -DCGLM_USE_TEST=ON
- name: Build
# Build your program with the given configuration
run: cmake --build ${{github.workspace}}/build --config ${{matrix.BUILD_TYPE}}
- name: Test with wasmtime
run: |
cd ${{github.workspace}}
ls -lh ${{github.workspace}}/build/
wget --no-verbose https://github.com/bytecodealliance/wasmtime/releases/download/${{env.wasmtime_version}}/wasmtime-${{env.wasmtime_version}}-x86_64-linux.tar.xz
tar xf wasmtime-${{env.wasmtime_version}}-x86_64-linux.tar.xz
./wasmtime-${{env.wasmtime_version}}-x86_64-linux/wasmtime run --wasm-features simd ${{github.workspace}}/build/tests.wasm
- name: Test with wasmer
run: |
cd ${{github.workspace}}
mkdir wasmer
cd wasmer
wget --no-verbose https://github.com/wasmerio/wasmer/releases/download/${{env.wasmer_version}}/wasmer-linux-amd64.tar.gz
tar xf wasmer-linux-amd64.tar.gz
./bin/wasmer run --enable-simd ${{github.workspace}}/build/tests.wasm
+79
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name: Meson WebAssembly
on:
push:
branches: [ "master" ]
pull_request:
branches: [ "master" ]
env:
wasmtime_version: v7.0.0
wasmer_version: v3.1.1
jobs:
build_emsdk:
strategy:
matrix:
BUILD_TYPE: [debug, debugoptimized, release, minsize]
C_FLAGS: ['', '-msimd128', '-msse -msse2 -msimd128', '-msse -msse2 -msse3 -msse4 -msimd128']
runs-on: ubuntu-latest
steps:
- uses: actions/checkout@v4
- name: Setup emsdk
uses: mymindstorm/setup-emsdk@v13
- name: Verify emsdk
run: emcc -v
- name: Creating cross file
run: |
cat << EOF > ${{github.workspace}}/meson_cross_emsdk.txt
[binaries]
c = '`which emcc`'
cpp = '`which em++`'
ar = '`which emar`'
[built-in options]
c_args = ['-Wno-unused-parameter']
c_link_args = ['-s', 'STANDALONE_WASM']
cpp_args = ['-Wno-unused-parameter']
cpp_link_args = ['-s', 'STANDALONE_WASM']
[host_machine]
system = 'emscripten'
cpu_family = 'wasm32'
cpu = 'wasm32'
endian = 'little'
EOF
cat ${{github.workspace}}/meson_cross_emsdk.txt
- uses: actions/setup-python@v4
- name: Install meson
run: |
sudo python3 -m pip install meson ninja
- name: Build with meson
run: |
meson setup build -Dbuildtype=${{matrix.BUILD_TYPE}} --cross-file ${{github.workspace}}/meson_cross_emsdk.txt --default-library=static -Dbuild_tests=true
meson test -C build
- name: Test with wasmtime
run: |
cd ${{github.workspace}}
ls -lh ${{github.workspace}}/build/
wget --no-verbose https://github.com/bytecodealliance/wasmtime/releases/download/${{env.wasmtime_version}}/wasmtime-${{env.wasmtime_version}}-x86_64-linux.tar.xz
tar xf wasmtime-${{env.wasmtime_version}}-x86_64-linux.tar.xz
./wasmtime-${{env.wasmtime_version}}-x86_64-linux/wasmtime run --wasm-features simd ${{github.workspace}}/build/tests.wasm
- name: Test with wasmer
run: |
cd ${{github.workspace}}
mkdir wasmer
cd wasmer
wget --no-verbose https://github.com/wasmerio/wasmer/releases/download/${{env.wasmer_version}}/wasmer-linux-amd64.tar.gz
tar xf wasmer-linux-amd64.tar.gz
./bin/wasmer run --enable-simd ${{github.workspace}}/build/tests.wasm
+83
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@@ -0,0 +1,83 @@
*.xcodeproj
*.xcworkspace
*.sln
*.vcxproj
*.vcxproj.*
*.suo
*.sdf
*.opensdf
ipch/
Debug/
Release/
.DS_Store
.vs
*.nupkg
*.opendb
packages.config
/aclocal.m4
/ar-lib
/autom4te.cache/
/compile
/config.guess
/config.log
/config.status
/config.sub
/configure
/depcomp
/install-sh
/ltmain.sh
/missing
/libtool
/.libs/
.deps/
*.[oa]
*.l[oa]
Makefile
Makefile.in
m4/*.m4
.buildstamp
.dirstamp
packages/
.anjuta/*
*.anjuta*
config.h.*
/config.h
stamp*
COPYING
.idea/*
*.VC.db
cscope.*
*-git-ignored-file.*
test/*.trs
test/test_*
*.log
test/.libs/*
test/tests
cglm_arm/*
cglm_test_ios/*
cglm_test_iosTests/*
docs/build/*
win/cglm_test_*
* copy.*
*.o
*.obj
*codeanalysis.*.xml
*codeanalysis.xml
*.lib
*.tlog
win/x64
win/x85
win/Debug
cglm-test-ios*
/cglm.pc
test-driver
Default-568h@2x.png
build/
conftest.dir/*
confdefs.h
*.xcuserdatad
.idea
cmake-build-debug
*.o.tmp
xcode/*
.vscode
+39
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@@ -0,0 +1,39 @@
# Read the Docs configuration file for Sphinx projects
# See https://docs.readthedocs.io/en/stable/config-file/v2.html for details
# Required
version: 2
# Set the OS, Python version and other tools you might need
build:
os: ubuntu-22.04
tools:
python: "3.12"
# You can also specify other tool versions:
# nodejs: "20"
# rust: "1.70"
# golang: "1.20"
# Build documentation in the "docs/" directory with Sphinx
sphinx:
configuration: docs/source/conf.py
# You can configure Sphinx to use a different builder, for instance use the dirhtml builder for simpler URLs
# builder: "dirhtml"
# Fail on all warnings to avoid broken references
# fail_on_warning: true
# Optionally build your docs in additional formats such as PDF and ePub
# formats:
# - pdf
# - epub
# Optional but recommended, declare the Python requirements required
# to build your documentation
# See https://docs.readthedocs.io/en/stable/guides/reproducible-builds.html
# python:
# install:
# - requirements: docs/requirements.txt
python:
install:
- requirements: docs/requirements.txt
+68
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@@ -0,0 +1,68 @@
language: c
os:
- linux
- osx
arch:
- amd64
- ppc64le
- s390x
- arm64
sudo: required
dist: trusty
compiler:
- clang
- gcc
matrix:
fast_finish: true
exclude:
# Skip GCC builds on macOS.
- os: osx
compiler: gcc
include:
# Additional GCC builds for code coverage.
- os: linux
compiler: gcc
env: CODE_COVERAGE=ON
cache:
apt: true
addons:
apt:
packages:
- clang-3.6
- lcov
branches:
only:
- master
script:
- sh ./autogen.sh
- if [[ "$CC" == "gcc" && "$CODE_COVERAGE" == "ON" ]]; then
./configure CFLAGS="-ftest-coverage -fprofile-arcs -coverage";
else
./configure;
fi
- make
- make check
after_success:
- if [[ "$CC" == "gcc" && "$CODE_COVERAGE" == "ON" ]]; then
pip install --user cpp-coveralls &&
coveralls
--build-root .
--exclude lib
--exclude test
--gcov-options '\-lp'
--verbose &&
bash <(curl -s https://codecov.io/bash);
fi
# after_failure:
# - cat ./test-suite.log
+199
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# Building the library
cglm can be built using one of the following build systems:
## CMake (All platforms)
```bash
$ mkdir build
$ cd build
$ cmake .. # [Optional] -DCGLM_SHARED=ON
$ make
$ sudo make install # [Optional]
```
### Options with defaults
```CMake
option(CGLM_SHARED "Shared build" ON)
option(CGLM_STATIC "Static build" OFF)
option(CGLM_USE_C99 "" OFF) # C11
option(CGLM_USE_TEST "Enable Tests" OFF) # for make check - make test
```
### Including in a CMake project
#### Header only
This requires no building or installation of cglm.
* Example:
``` cmake
cmake_minimum_required(VERSION 3.8.2)
project(<Your Project Name>)
add_executable(${PROJECT_NAME} src/main.c)
target_link_libraries(${LIBRARY_NAME} PRIVATE
cglm_headers)
add_subdirectory(external/cglm/ EXCLUDE_FROM_ALL)
```
#### Linked
* Example:
```cmake
cmake_minimum_required(VERSION 3.8.2)
project(<Your Project Name>)
add_executable(${PROJECT_NAME} src/main.c)
target_link_libraries(${LIBRARY_NAME} PRIVATE
cglm)
add_subdirectory(external/cglm/)
# or you can use find_package to configure cglm
```
### Using CMake to build for WebAssembly
Since math functions like `sinf` are used, this can not be targeted at `wasm32-unknown-unknown`, one of [wasi-sdk](https://github.com/WebAssembly/wasi-sdk) or [emscripten](https://github.com/emscripten-core/emsdk) should be used.
Should note that shared build is not yet supported for WebAssembly.
For [simd128](https://github.com/WebAssembly/simd) support, add `-msimd128` to `CMAKE_C_FLAGS`, in command line `-DCMAKE_C_FLAGS="-msimd128"`.
For tests, the cmake option `CGLM_USE_TEST` would still work, you'll need a wasi runtime for running tests, see our [ci config file](.github/workflows/cmake-wasm.yml) for a detailed example.
#### WASI SDK
```bash
$ cmake .. \
-DCMAKE_TOOLCHAIN_FILE=/path/to/wasi-sdk-19.0/share/cmake/wasi-sdk.cmake \
-DWASI_SDK_PREFIX=/path/to/wasi-sdk-19.0
```
Where `/path/to/wasi-sdk-19.0/` is the path to extracted [wasi sdk](https://github.com/WebAssembly/wasi-sdk).
In this case it would by default make a static build.
#### Emscripten
```bash
$ emcmake cmake .. \
-DCMAKE_EXE_LINKER_FLAGS="-s STANDALONE_WASM" \
-DCGLM_STATIC=ON
```
The `emcmake` here is the cmake wrapper for Emscripten from installed [emsdk](https://github.com/emscripten-core/emsdk).
## Meson (All platforms)
```bash
$ meson build # [Optional] --default-library=static
$ cd build
$ ninja
$ sudo ninja install # [Optional]
```
### Options with Defaults:
```meson
c_std=c11
buildtype=release
default_library=shared
build_tests=true # to run tests: ninja test
```
### Including in a Meson project
* Example:
```meson
# Clone cglm or create a cglm.wrap under <source_root>/subprojects
project('name', 'c')
cglm_dep = dependency('cglm', fallback : 'cglm', 'cglm_dep')
executable('exe', 'src/main.c', dependencies : cglm_dep)
```
## Swift (Swift Package Manager)
Currently only default build options are supported. Add **cglm** dependency to your project:
```swift
...
Package(
...
dependencies: [
...
.package(url: "https://github.com/recp/cglm", .branch("master")),
]
...
)
```
Now add **cgml** as a dependency to your target. Product choices are:
- **cglm** for inlined version of the library which can be linked only statically
- **cglmc** for a compiled version of the library with no linking limitation
```swift
...
.target(
...
dependencies: [
...
.product(name: "cglm", package: "cglm"),
]
...
)
...
```
## Unix (Autotools)
```bash
$ sh autogen.sh
$ ./configure
$ make
$ make check # [Optional]
$ [sudo] make install # [Optional]
```
This will also install pkg-config files so you can use
`pkg-config --cflags cglm` and `pkg-config --libs cglm` to retrieve compiler
and linker flags.
The files will be installed into the given prefix (usually `/usr/local` by
default on Linux), but your pkg-config may not be configured to actually check
there. You can figure out where it's looking by running `pkg-config --variable
pc_path pkg-config` and change the path the files are installed to via
`./configure --with-pkgconfigdir=/your/path`. Alternatively, you can add the
prefix path to your `PKG_CONFIG_PATH` environment variable.
## Windows (MSBuild)
Windows related build file and project files are located in `win` folder,
make sure you are inside `cglm/win` folder.
Code Analysis is enabled, so it may take awhile to build.
```Powershell
$ cd win
$ .\build.bat
```
if `msbuild` won't work (because of multi version VS) then try to build with `devenv`:
```Powershell
$ devenv cglm.sln /Build Release
```
### Running Tests on Windows
You can see test project in same visual studio solution file. It is enough to run that project to run tests.
# Building the documentation
First you need install Sphinx: http://www.sphinx-doc.org/en/master/usage/installation.html
then:
```bash
$ cd docs
$ sphinx-build source build
```
it will compile docs into build folder, you can run index.html inside that function.
+197
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cmake_minimum_required(VERSION 3.13)
project(cglm
VERSION 0.9.6
HOMEPAGE_URL https://github.com/recp/cglm
DESCRIPTION "OpenGL Mathematics (glm) for C"
LANGUAGES C
)
set(CMAKE_C_STANDARD 11)
set(CMAKE_C_STANDARD_REQUIRED YES)
set(DEFAULT_BUILD_TYPE "Release")
set(CGLM_BUILD)
option(CGLM_SHARED "Shared build" ON)
option(CGLM_STATIC "Static build" OFF)
option(CGLM_USE_C99 "" OFF)
option(CGLM_USE_TEST "Enable Tests" OFF)
if(CMAKE_SYSTEM_NAME STREQUAL WASI)
set(CGLM_STATIC ON CACHE BOOL "Static option" FORCE)
set(CGLM_SHARED OFF CACHE BOOL "Shared option" FORCE)
endif()
if(NOT CGLM_STATIC AND CGLM_SHARED)
set(CGLM_BUILD SHARED)
else(CGLM_STATIC)
set(CGLM_BUILD STATIC)
endif()
if(CGLM_USE_C99)
set(CMAKE_C_STANDARD 99)
endif()
if(MSVC)
add_definitions(-D_WINDOWS -D_USRDLL)
if(NOT CMAKE_BUILD_TYPE MATCHES Debug)
add_definitions(-DNDEBUG)
add_compile_options(/W3 /Ox /Gy /Oi /TC)
foreach(flag_var
CMAKE_C_FLAGS CMAKE_C_FLAGS_DEBUG CMAKE_C_FLAGS_RELEASE
CMAKE_C_FLAGS_MINSIZEREL CMAKE_C_FLAGS_RELWITHDEBINFO)
string(REGEX REPLACE "/RTC(su|[1su])" "" ${flag_var} "${${flag_var}}")
endforeach(flag_var)
endif()
else()
add_compile_options(-Wall)
if(NOT CMAKE_BUILD_TYPE MATCHES Debug)
add_compile_options(-O3)
endif()
endif()
get_directory_property(hasParent PARENT_DIRECTORY)
if(NOT hasParent AND NOT CMAKE_BUILD_TYPE AND NOT CMAKE_CONFIGURATION_TYPES)
message(STATUS "Setting build type to '${DEFAULT_BUILD_TYPE}' as none was specified.")
set(CMAKE_BUILD_TYPE "${DEFAULT_BUILD_TYPE}" CACHE STRING "Choose the type of build." FORCE)
# Set the possible values of build type for cmake-gui
set_property(CACHE CMAKE_BUILD_TYPE PROPERTY STRINGS "Debug" "Release" "MinSizeRel" "RelWithDebInfo")
endif()
include(GNUInstallDirs)
set(CPACK_PROJECT_NAME ${PROJECT_NAME})
set(CPACK_PROJECT_VERSION ${PROJECT_VERSION})
if(NOT CPack_CMake_INCLUDED)
include(CPack)
endif()
# Target Start
add_library(${PROJECT_NAME}
${CGLM_BUILD}
src/euler.c
src/affine.c
src/io.c
src/quat.c
src/cam.c
src/vec2.c
src/ivec2.c
src/vec3.c
src/ivec3.c
src/vec4.c
src/ivec4.c
src/mat2.c
src/mat2x3.c
src/mat2x4.c
src/mat3.c
src/mat3x2.c
src/mat3x4.c
src/mat4.c
src/mat4x2.c
src/mat4x3.c
src/plane.c
src/noise.c
src/frustum.c
src/box.c
src/aabb2d.c
src/project.c
src/sphere.c
src/ease.c
src/curve.c
src/bezier.c
src/ray.c
src/affine2d.c
src/clipspace/ortho_lh_no.c
src/clipspace/ortho_lh_zo.c
src/clipspace/ortho_rh_no.c
src/clipspace/ortho_rh_zo.c
src/clipspace/persp_lh_no.c
src/clipspace/persp_lh_zo.c
src/clipspace/persp_rh_no.c
src/clipspace/persp_rh_zo.c
src/clipspace/view_lh_no.c
src/clipspace/view_lh_zo.c
src/clipspace/view_rh_no.c
src/clipspace/view_rh_zo.c
src/clipspace/project_no.c
src/clipspace/project_zo.c
)
if(CGLM_SHARED)
add_definitions(-DCGLM_EXPORTS)
else()
target_compile_definitions(${PROJECT_NAME} PUBLIC -DCGLM_STATIC)
endif()
set_target_properties(${PROJECT_NAME} PROPERTIES
VERSION ${PROJECT_VERSION}
SOVERSION ${PROJECT_VERSION_MAJOR})
if(WIN32)
# Because SOVERSION has no effect to file naming on Windows
set_target_properties(${PROJECT_NAME} PROPERTIES
RUNTIME_OUTPUT_NAME ${PROJECT_NAME}-${PROJECT_VERSION_MAJOR})
endif()
target_include_directories(${PROJECT_NAME}
PUBLIC
$<INSTALL_INTERFACE:include>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/include>
PRIVATE
${CMAKE_CURRENT_SOURCE_DIR}/src
)
# Target for header-only usage
add_library(${PROJECT_NAME}_headers INTERFACE)
target_include_directories(${PROJECT_NAME}_headers INTERFACE
${CMAKE_CURRENT_SOURCE_DIR}/include)
# Test Configuration
if(CGLM_USE_TEST)
include(CTest)
enable_testing()
add_subdirectory(test)
endif()
# Install
install(TARGETS ${PROJECT_NAME}
EXPORT ${PROJECT_NAME}
LIBRARY DESTINATION ${CMAKE_INSTALL_LIBDIR}
ARCHIVE DESTINATION ${CMAKE_INSTALL_LIBDIR}
RUNTIME DESTINATION ${CMAKE_INSTALL_BINDIR})
install(DIRECTORY include/${PROJECT_NAME} DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}
PATTERN ".*" EXCLUDE)
# Config
export(TARGETS ${PROJECT_NAME}
NAMESPACE ${PROJECT_NAME}::
FILE "${CMAKE_CURRENT_BINARY_DIR}/${PROJECT_NAME}Config.cmake"
)
install(EXPORT ${PROJECT_NAME}
FILE "${PROJECT_NAME}Config.cmake"
NAMESPACE ${PROJECT_NAME}::
DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME})
set(PACKAGE_NAME ${PROJECT_NAME})
set(prefix ${CMAKE_INSTALL_PREFIX})
set(exec_prefix ${CMAKE_INSTALL_PREFIX})
if (IS_ABSOLUTE "${CMAKE_INSTALL_INCLUDEDIR}")
set(includedir "${CMAKE_INSTALL_INCLUDEDIR}")
else()
set(includedir "\${prefix}/${CMAKE_INSTALL_INCLUDEDIR}")
endif()
if (IS_ABSOLUTE "${CMAKE_INSTALL_LIBDIR}")
set(libdir "${CMAKE_INSTALL_LIBDIR}")
else()
set(libdir "\${exec_prefix}/${CMAKE_INSTALL_LIBDIR}")
endif()
set(PACKAGE_VERSION "${PROJECT_VERSION}")
configure_file(cglm.pc.in cglm.pc @ONLY)
install(FILES ${CMAKE_CURRENT_BINARY_DIR}/cglm.pc
DESTINATION ${CMAKE_INSTALL_LIBDIR}/pkgconfig)
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# CONTRIBUTING
Any contributions (code, documentation, ...) are welcome.
# New Features
- This library may not accept all new features, it is better to create an issue and get approval before coding
- You must add test for every new feature
- The feature must be compiled on both UNIX/POSIX systems (e.g. macos, linux...) and Windows
# Code Style
This library is written with C99, don't try to add C++ files (yes it can compiled into lib),
if you have enough reason to add C++ files than create an issue and get approval before coding,
- All functions must have `glm` prefix
- Lines should be wrapped at 80 characters.
- Don't invent new style for existing ones
- Use C89 style comments (`/* comments */`) not C++ style comments (`// comments`)
- Don't use TABs instead use 2 spaces for TABs
- All indents must be 2 spaces, not 1 nor 4 space
- All functions in `include` folder must be exported by `CGLM_EXPORT` and wrapped by `extern "C" {` for C++
- Crate new line for return type, attribs:
```C
CGLM_INLINE
void
glm_mul(mat4 m1, mat4 m2, mat4 dest)
```
not acceptable:
```C
CGLM_INLINE void glm_mul(mat4 m1, mat4 m2, mat4 dest)
```
- Variables must be declared at the top of a scope before usage:
```C
int x;
int y;
x = y = 0;
```
not acceptable:
```C
int x;
x = 0;
int y = 0;
```
- All files must retain same LICENSE statement
- Code with warnings will not be accepted, please suppress them (not by disabling them)
- Run code anaylysis before submitting pull requests, if you use Xcode you can enable Sanitizer in scheme, you can use valgrind in linux
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This library [initially] used some [piece of] implementations
(may include codes) from these open source projects/resources:
1. Initial Affine Transforms
The original glm repo (g-truc), url: https://github.com/g-truc/glm
LICENSE[S]:
The Happy Bunny License (Modified MIT License)
The MIT License
Copyright (c) 2005 - 2016 G-Truc Creation
FULL LICENSE: https://github.com/g-truc/glm/blob/master/copying.txt
2. Initial Quaternions
Anton's OpenGL 4 Tutorials book source code:
LICENSE:
OpenGL 4 Example Code.
Accompanies written series "Anton's OpenGL 4 Tutorials"
Email: anton at antongerdelan dot net
First version 27 Jan 2014
Copyright Dr Anton Gerdelan, Trinity College Dublin, Ireland.
3. Euler Angles
David Eberly
Geometric Tools, LLC http://www.geometrictools.com/
Copyright (c) 1998-2016. All Rights Reserved.
Computing Euler angles from a rotation matrix (euler.pdf)
Gregory G. Slabaugh
4. Extracting Planes
Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
Authors:
Gil Gribb (ggribb@ravensoft.com)
Klaus Hartmann (k_hartmann@osnabrueck.netsurf.de)
5. Transform AABB
Transform Axis Aligned Bounding Boxes:
http://dev.theomader.com/transform-bounding-boxes/
https://github.com/erich666/GraphicsGems/blob/master/gems/TransBox.c
6. Cull frustum
http://www.txutxi.com/?p=584
http://old.cescg.org/CESCG-2002/DSykoraJJelinek/
7. Quaternions
Initial mat4_quat is borrowed from Apple's simd library
8. Vector Rotation using Quaternion
https://gamedev.stackexchange.com/questions/28395/rotating-vector3-by-a-quaternion
9. Sphere AABB intersect
https://github.com/erich666/GraphicsGems/blob/master/gems/BoxSphere.c
10. Horizontal add
https://stackoverflow.com/questions/6996764/fastest-way-to-do-horizontal-float-vector-sum-on-x86
11. de casteljau implementation and comments
https://forums.khronos.org/showthread.php/10264-Animations-in-1-4-1-release-notes-revision-A/page2?highlight=bezier
https://forums.khronos.org/showthread.php/10644-Animation-Bezier-interpolation
https://forums.khronos.org/showthread.php/10387-2D-Tangents-in-Bezier-Splines?p=34164&viewfull=1#post34164
https://forums.khronos.org/showthread.php/10651-Animation-TCB-Spline-Interpolation-in-COLLADA?highlight=bezier
12. vec2 cross product
http://allenchou.net/2013/07/cross-product-of-2d-vectors/
13. Ray triangle intersect
MöllerTrumbore ray-triangle intersection algorithm, from "Fast, Minimum Storage Ray/Triangle Intersection"
Authors:
Thomas Möller (tompa@clarus.se)
Ben Trumbore (wbt@graphics.cornell.edu)
Link to paper: http://webserver2.tecgraf.puc-rio.br/~mgattass/cg/trbRR/Fast%20MinimumStorage%20RayTriangle%20Intersection.pdf
14. ARM NEON: Matrix Vector Multiplication
https://stackoverflow.com/a/57793352/2676533
16. ARM NEON Div
http://github.com/microsoft/DirectXMath
17. Pick Matrix
glu project -> project.c
18. Ray sphere intersection
RAY TRACING GEMS
HIGH-QUALITY AND REAL-TIME RENDERING WITH DXR AND OTHER APIS
CHAPTER 7
Precision Improvements for Ray/Sphere Intersection
Eric Haines (1), Johannes Günther (2), and Tomas Akenine-Möller (1)
(1) NVIDIA
(2) Intel
Wyman, C., and Haines, E. Getting Started with RTX Ray Tracing.
https://github.com/NVIDIAGameWorks/GettingStartedWithRTXRayTracing
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The MIT License (MIT)
Copyright (c) 2015 Recep Aslantas <info@recp.me>
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
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#******************************************************************************
# Copyright (c), Recep Aslantas. *
# *
# MIT License (MIT), http://opensource.org/licenses/MIT *
# Full license can be found in the LICENSE file *
# *
#******************************************************************************
ACLOCAL_AMFLAGS = -I m4
AM_CFLAGS = -Wall \
-std=gnu11 \
-O3 \
-Wstrict-aliasing=2 \
-fstrict-aliasing
lib_LTLIBRARIES = libcglm.la
libcglm_la_LDFLAGS = -no-undefined -version-info 0:1:0
checkLDFLAGS = -L./.libs \
-lm \
-lcglm
checkCFLAGS = $(AM_CFLAGS) \
-std=gnu11 \
-O3 \
-DCGLM_DEFINE_PRINTS \
-I./include
check_PROGRAMS = test/tests
TESTS = $(check_PROGRAMS)
test_tests_LDFLAGS = $(checkLDFLAGS)
test_tests_CFLAGS = $(checkCFLAGS)
cglmdir=$(includedir)/cglm
cglm_HEADERS = include/cglm/version.h \
include/cglm/common.h \
include/cglm/types.h \
include/cglm/types-struct.h \
include/cglm/cglm.h \
include/cglm/call.h \
include/cglm/struct.h \
include/cglm/cam.h \
include/cglm/io.h \
include/cglm/mat4.h \
include/cglm/mat4x2.h \
include/cglm/mat4x3.h \
include/cglm/mat3.h \
include/cglm/mat3x2.h \
include/cglm/mat3x4.h \
include/cglm/mat2.h \
include/cglm/mat2x3.h \
include/cglm/mat2x4.h \
include/cglm/affine-pre.h \
include/cglm/affine-post.h \
include/cglm/affine.h \
include/cglm/affine-mat.h \
include/cglm/vec2.h \
include/cglm/vec2-ext.h \
include/cglm/ivec2.h \
include/cglm/vec3.h \
include/cglm/vec3-ext.h \
include/cglm/ivec3.h \
include/cglm/vec4.h \
include/cglm/vec4-ext.h \
include/cglm/ivec4.h \
include/cglm/euler.h \
include/cglm/util.h \
include/cglm/quat.h \
include/cglm/plane.h \
include/cglm/noise.h \
include/cglm/frustum.h \
include/cglm/box.h \
include/cglm/aabb2d.h \
include/cglm/color.h \
include/cglm/project.h \
include/cglm/sphere.h \
include/cglm/ease.h \
include/cglm/curve.h \
include/cglm/bezier.h \
include/cglm/applesimd.h \
include/cglm/ray.h \
include/cglm/affine2d.h
cglm_clipspacedir=$(includedir)/cglm/clipspace
cglm_clipspace_HEADERS = include/cglm/clipspace/persp.h \
include/cglm/clipspace/persp_lh_no.h \
include/cglm/clipspace/persp_lh_zo.h \
include/cglm/clipspace/persp_rh_no.h \
include/cglm/clipspace/persp_rh_zo.h \
include/cglm/clipspace/ortho_lh_no.h \
include/cglm/clipspace/ortho_lh_zo.h \
include/cglm/clipspace/ortho_rh_no.h \
include/cglm/clipspace/ortho_rh_zo.h \
include/cglm/clipspace/view_lh.h \
include/cglm/clipspace/view_rh.h \
include/cglm/clipspace/view_lh_no.h \
include/cglm/clipspace/view_lh_zo.h \
include/cglm/clipspace/view_rh_no.h \
include/cglm/clipspace/view_rh_zo.h \
include/cglm/clipspace/project_no.h \
include/cglm/clipspace/project_zo.h
cglm_calldir=$(includedir)/cglm/call
cglm_call_HEADERS = include/cglm/call/mat4.h \
include/cglm/call/mat4x2.h \
include/cglm/call/mat4x3.h \
include/cglm/call/mat3.h \
include/cglm/call/mat3x2.h \
include/cglm/call/mat3x4.h \
include/cglm/call/mat2.h \
include/cglm/call/mat2x3.h \
include/cglm/call/mat2x4.h \
include/cglm/call/vec2.h \
include/cglm/call/vec3.h \
include/cglm/call/vec4.h \
include/cglm/call/ivec2.h \
include/cglm/call/ivec3.h \
include/cglm/call/ivec4.h \
include/cglm/call/io.h \
include/cglm/call/cam.h \
include/cglm/call/quat.h \
include/cglm/call/euler.h \
include/cglm/call/plane.h \
include/cglm/call/noise.h \
include/cglm/call/frustum.h \
include/cglm/call/box.h \
include/cglm/call/project.h \
include/cglm/call/sphere.h \
include/cglm/call/ease.h \
include/cglm/call/curve.h \
include/cglm/call/bezier.h \
include/cglm/call/ray.h \
include/cglm/call/affine.h \
include/cglm/call/affine2d.h \
include/cglm/call/aabb2d.h
cglm_call_clipspacedir=$(includedir)/cglm/call/clipspace
cglm_call_clipspace_HEADERS = include/cglm/call/clipspace/persp_lh_no.h \
include/cglm/call/clipspace/persp_lh_zo.h \
include/cglm/call/clipspace/persp_rh_no.h \
include/cglm/call/clipspace/persp_rh_zo.h \
include/cglm/call/clipspace/ortho_lh_no.h \
include/cglm/call/clipspace/ortho_lh_zo.h \
include/cglm/call/clipspace/ortho_rh_no.h \
include/cglm/call/clipspace/ortho_rh_zo.h \
include/cglm/call/clipspace/view_lh_no.h \
include/cglm/call/clipspace/view_lh_zo.h \
include/cglm/call/clipspace/view_rh_no.h \
include/cglm/call/clipspace/view_rh_zo.h \
include/cglm/call/clipspace/project_no.h \
include/cglm/call/clipspace/project_zo.h
cglm_simddir=$(includedir)/cglm/simd
cglm_simd_HEADERS = include/cglm/simd/intrin.h \
include/cglm/simd/x86.h \
include/cglm/simd/arm.h \
include/cglm/simd/wasm.h
cglm_simd_sse2dir=$(includedir)/cglm/simd/sse2
cglm_simd_sse2_HEADERS = include/cglm/simd/sse2/affine.h \
include/cglm/simd/sse2/mat4.h \
include/cglm/simd/sse2/mat3.h \
include/cglm/simd/sse2/mat2.h \
include/cglm/simd/sse2/quat.h
cglm_simd_avxdir=$(includedir)/cglm/simd/avx
cglm_simd_avx_HEADERS = include/cglm/simd/avx/mat4.h \
include/cglm/simd/avx/affine.h
cglm_simd_neondir=$(includedir)/cglm/simd/neon
cglm_simd_neon_HEADERS = include/cglm/simd/neon/affine.h \
include/cglm/simd/neon/mat2.h \
include/cglm/simd/neon/mat4.h \
include/cglm/simd/neon/quat.h
cglm_simd_wasmdir=$(includedir)/cglm/simd/wasm
cglm_simd_wasm_HEADERS = include/cglm/simd/wasm/affine.h \
include/cglm/simd/wasm/mat2.h \
include/cglm/simd/wasm/mat3.h \
include/cglm/simd/wasm/mat4.h \
include/cglm/simd/wasm/quat.h
cglm_handeddir=$(includedir)/cglm/handed
cglm_handed_HEADERS = include/cglm/handed/euler_to_quat_lh.h \
include/cglm/handed/euler_to_quat_rh.h
cglm_structdir=$(includedir)/cglm/struct
cglm_struct_HEADERS = include/cglm/struct/mat4.h \
include/cglm/struct/mat4x2.h \
include/cglm/struct/mat4x3.h \
include/cglm/struct/mat3.h \
include/cglm/struct/mat3x2.h \
include/cglm/struct/mat3x4.h \
include/cglm/struct/mat2.h \
include/cglm/struct/mat2x3.h \
include/cglm/struct/mat2x4.h \
include/cglm/struct/affine-pre.h \
include/cglm/struct/affine-post.h \
include/cglm/struct/affine-mat.h \
include/cglm/struct/affine.h \
include/cglm/struct/affine2d.h \
include/cglm/struct/vec2.h \
include/cglm/struct/vec2-ext.h \
include/cglm/struct/ivec2.h \
include/cglm/struct/vec3.h \
include/cglm/struct/vec3-ext.h \
include/cglm/struct/ivec3.h \
include/cglm/struct/vec4.h \
include/cglm/struct/vec4-ext.h \
include/cglm/struct/ivec4.h \
include/cglm/struct/io.h \
include/cglm/struct/cam.h \
include/cglm/struct/quat.h \
include/cglm/struct/euler.h \
include/cglm/struct/plane.h \
include/cglm/struct/noise.h \
include/cglm/struct/frustum.h \
include/cglm/struct/box.h \
include/cglm/struct/aabb2d.h \
include/cglm/struct/project.h \
include/cglm/struct/sphere.h \
include/cglm/struct/color.h \
include/cglm/struct/curve.h \
include/cglm/struct/ray.h
cglm_struct_clipspacedir=$(includedir)/cglm/struct/clipspace
cglm_struct_clipspace_HEADERS = include/cglm/struct/clipspace/persp_lh_no.h \
include/cglm/struct/clipspace/persp_lh_zo.h \
include/cglm/struct/clipspace/persp_rh_no.h \
include/cglm/struct/clipspace/persp_rh_zo.h \
include/cglm/struct/clipspace/ortho_lh_no.h \
include/cglm/struct/clipspace/ortho_lh_zo.h \
include/cglm/struct/clipspace/ortho_rh_no.h \
include/cglm/struct/clipspace/ortho_rh_zo.h \
include/cglm/struct/clipspace/view_lh_no.h \
include/cglm/struct/clipspace/view_lh_zo.h \
include/cglm/struct/clipspace/view_rh_no.h \
include/cglm/struct/clipspace/view_rh_zo.h \
include/cglm/struct/clipspace/project_no.h \
include/cglm/struct/clipspace/project_zo.h
cglm_struct_handeddir=$(includedir)/cglm/struct/handed
cglm_struct_handed_HEADERS = include/cglm/struct/handed/euler_to_quat_lh.h \
include/cglm/struct/handed/euler_to_quat_rh.h
libcglm_la_SOURCES=\
src/euler.c \
src/affine.c \
src/io.c \
src/quat.c \
src/cam.c \
src/vec2.c \
src/ivec2.c \
src/vec3.c \
src/ivec3.c \
src/vec4.c \
src/ivec4.c \
src/mat2.c \
src/mat2x3.c \
src/mat2x4.c \
src/mat3.c \
src/mat3x2.c \
src/mat3x4.c \
src/mat4.c \
src/mat4x2.c \
src/mat4x3.c \
src/plane.c \
src/noise.c \
src/frustum.c \
src/box.c \
src/project.c \
src/sphere.c \
src/ease.c \
src/curve.c \
src/bezier.c \
src/ray.c \
src/affine2d.c \
src/aabb2d.c \
src/clipspace/ortho_lh_no.c \
src/clipspace/ortho_lh_zo.c \
src/clipspace/ortho_rh_no.c \
src/clipspace/ortho_rh_zo.c \
src/clipspace/persp_lh_no.c \
src/clipspace/persp_lh_zo.c \
src/clipspace/persp_rh_no.c \
src/clipspace/persp_rh_zo.c \
src/clipspace/view_lh_no.c \
src/clipspace/view_lh_zo.c \
src/clipspace/view_rh_no.c \
src/clipspace/view_rh_zo.c \
src/clipspace/project_no.c \
src/clipspace/project_zo.c
test_tests_SOURCES=\
test/runner.c \
test/src/test_common.c \
test/src/tests.c \
test/src/test_clamp.c \
test/src/test_euler.c \
test/src/test_bezier.c \
test/src/test_struct.c
pkgconfig_DATA=cglm.pc
# When running configure with --prefix, $VPATH references
# the source directory that post-build.sh is in. When not
# using a prefix, $VPATH will be unset, so we need to fall
# back to using . to run the script.
#export VPATH
# all-local:
# sh $${VPATH:-.}/post-build.sh
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// swift-tools-version:5.2
import PackageDescription
let package = Package(
name: "cglm",
products: [
.library(name: "cglm", type: .static, targets: ["cglmHeader"]),
.library(name: "cglmc", targets: ["cglmCompiled"]),
],
dependencies: [],
targets: [
.target(
name: "cglmCompiled",
path: "./",
exclude: [
"./docs",
"./src/swift",
"./include",
"./test",
"./win",
],
sources: [
"./src",
],
publicHeadersPath: "./include"
),
.target(
name: "cglmHeader",
path: "./",
exclude: [
"./docs",
"./include",
"./test",
"./win",
],
sources: [
"./src/swift",
],
publicHeadersPath: "./include"
),
],
cLanguageStandard: .c11
)
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# 🎥 OpenGL Mathematics (glm) for `C`
<p align="center">
<img alt="" src="cglm.png" width="550" />
</p>
<br>
<p align="center">
<a href="https://github.com/recp/cglm/actions/workflows/ci.yml">
<img src="https://github.com/recp/cglm/actions/workflows/ci.yml/badge.svg"
alt="Build Status">
</a>
<a href="http://cglm.readthedocs.io/en/latest/?badge=latest">
<img src="https://readthedocs.org/projects/cglm/badge/?version=latest"
alt="Documentation Status">
</a>
<a href="https://www.codacy.com/app/recp/cglm?utm_source=github.com&amp;utm_medium=referral&amp;utm_content=recp/cglm&amp;utm_campaign=Badge_Grade">
<img src="https://api.codacy.com/project/badge/Grade/6a62b37d5f214f178ebef269dc4a6bf1"
alt="Codacy Badge"/>
</a>
<a href="https://coveralls.io/github/recp/cglm?branch=master">
<img src="https://coveralls.io/repos/github/recp/cglm/badge.svg?branch=master"
alt="Coverage Status"/>
</a>
<a href="https://codecov.io/gh/recp/cglm">
<img src="https://codecov.io/gh/recp/cglm/branch/master/graph/badge.svg"
alt="Coverage Status"/>
</a>
<br /><br />
<a href="#sponsors">
<img src="https://opencollective.com/cglm/sponsors/badge.svg"
alt="Sponsors on Open Collective"/>
</a>
<a href="#backers">
<img src="https://opencollective.com/cglm/backers/badge.svg"
alt="Backers on Open Collective"/>
</a>
</p>
<br>
<p align="center">
A highly optimized 2D|3D math library. Also known as OpenGL Mathematics (glm) for C. <b>cglm</b> provides fast and ergonomic math functions to ease graphics programming. It is community friendly feel free to report any bugs and issues you face. <br>
<i>If you're using C++, you might want to check out <a href="https://github.com/g-truc/glm">GLM</a></i>
</p>
- Allocation-free
- Header-only
- SIMD-optimized
- API-agnostic
---
### 📚 Documentation
All functions and their parameters are documented above their declaration inside their corresponding headers. <br />
Alternatively, you can read the complete documentation [here](http://cglm.readthedocs.io).
### 🔨 Building
cglm can be used in it's entirety as a header-only library simply by including `cglm/cglm.h`. If you wish to link against it instead, it can be built using one of the supported build systems. Detailed information about building on individual platforms and build systems along with the instructions for building the documentation can be found in [BUILDING.md](./BUILDING.md).
### ✅ Usage
#### Header-only
Include the `cglm/cglm.h` header and use functions with the `glm_` prefix.
```c
#include "cglm/cglm.h"
// ...
vec2 vector;
glm_vec2_zero(vector);
```
#### Struct API
Include `cglm/struct.h` and use `glms_`.
```c
#include "cglm/struct.h"
// ...
vec2s vector = glms_vec2_zero();
```
#### Linked
Include `cglm/call.h` and use `glmc_`.
```c
#include "cglm/call.h"
// ...
vec2 vector;
glmc_vec2_zero(vector);
```
### ❗ Alignment
While cglm by default aligns what's necessary, it is possible to disable this by defining `CGLM_ALL_UNALIGNED`. If you're targeting machines with any kind of SIMD support, make sure that all `vec4`, `mat4` and `mat2` arguments you pass to cglm functions are aligned to prevent unexpected crashes, alternatively use the unaligned versions if present.
### Struct API
The struct API works as follows (note the `s` suffix on types, `glms_` prefix on functions and `GLMS_` on constants):
```C
#include <cglm/struct.h>
mat4s mat = GLMS_MAT4_IDENTITY_INIT;
mat4s inv = glms_mat4_inv(mat);
```
Struct functions generally take parameters *by copy* and *return* the results rather than taking pointers and writing to out parameters. That means your variables can usually be `const`, if you're into that.
The types used are actually unions that allow access to the same data in multiple ways. One of these involves anonymous structures available since C11. MSVC supports them in earlier versions out of the box and GCC/Clang as well if you enable `-fms-extensions`.
To explicitly enable anonymous structures `#define CGLM_USE_ANONYMOUS_STRUCT 1`, or `0` to disable them.
For backwards compatibility, you can also `#define CGLM_NO_ANONYMOUS_STRUCT` to disable them. If you don't specify explicitly, cglm will attempt a best guess based on your compiler and C version.
### 📌 Migration notes:
- `_dup` (duplicate) functions were renamed to `_copy`. For instance: `glm_vec_dup` -> `glm_vec3_copy`.
- OpenGL related functions were dropped to make cglm API independent.
- **[bugfix]** Euler angles had been previously implemented in reverse order (extrinsic). This was fixed to be intrinsic.
- **[major change]** Starting with **v0.4.0**, quaternions are stored as [x, y, z, w]. Previously it was [w, x, y, z].
- **[api rename]** Starting with **v0.4.5**, `glm_simd_` functions are renamed to `glmm_`.
- **[new option]** Starting with **v0.4.5**, alignment requirements can be disabled. Read more in the documentation.
- **[major change]** Starting with **v0.5.0**, vec3 functions occupy the **glm_vec3_** namespace. This used to be **glm_vec_** in earlier versions.
- **[major change]** Starting with **v0.5.1**, `vec3` and `mat3` types are not aligned by default.
- **[major change]** Starting with **v0.7.3**, inline print functions are disabled by default in release mode to eliminate printing costs (see the Options chapter of the docs). <br> Colored output can be disabled (see documentation).
- **[major change]** Starting with **v0.8.3**, alternate clipspace configurations are supported. The `CGLM_FORCE_DEPTH_ZERO_TO_ONE` and `CGLM_FORCE_LEFT_HANDED` flags are provided to control clip depth and handedness. This makes it easier to incorporate cglm into projects using graphics APIs such as Vulkan or Metal. See https://cglm.readthedocs.io/en/latest/opt.html#clipspace-option-s
### 🚀 Features
- scalar and simd (sse, avx, neon...) optimizations
- general purpose matrix operations (mat4, mat3)
- chain matrix multiplication (square only)
- general purpose vector operations (cross, dot, rotate, proj, angle...)
- affine transformations
- matrix decomposition (extract rotation, scaling factor)
- optimized affine transform matrices (mul, rigid-body inverse)
- camera (lookat)
- projections (ortho, perspective)
- quaternions
- euler angles / yaw-pitch-roll to matrix
- extract euler angles
- frustum (extract view frustum planes, corners...)
- bounding box (AABB in Frustum (culling), crop, merge...)
- bounding sphere
- project, unproject
- easing functions
- curves
- curve interpolation helpers (SMC, deCasteljau...)
- comversion helpers from cglm types to Apple's simd library to pass cglm types to Metal GL without packing them on both sides
- ray intersection helpers
---
<table>
<tbody>
<tr>
<td>
<div>Like other graphics libraries (especially OpenGL), cglm uses column-major layout to keep matrices in memory. </div>
<div>&nbsp;</div>
<div>While we might support row-major matrices in the future, currently if you need your matrices to be in row-major layout you have to transpose them. </div>
</td>
<td>
<img src="https://upload.wikimedia.org/wikipedia/commons/3/3f/Matrix_Columns.svg" width="300px" />
</td>
</tr>
</tbody>
</table>
---
cglm contains general purpose mat4 product and inverse functions but also provides optimized versions for affine transformations. If you want to multiply two affine transformation matrices you can use glm_mul instead of glm_mat4_mul and glm_inv_tr (ROT + TR) instead glm_mat4_inv.
```C
/* multiplication */
mat4 modelMat;
glm_mul(T, R, modelMat);
/* othonormal rot + tr matrix inverse (rigid-body) */
glm_inv_tr(modelMat);
```
## Contributors
This project exists thanks to all the people who contribute. [[Contribute](CONTRIBUTING.md)]
<a href="https://github.com/recp/cglm/graphs/contributors"><img src="https://opencollective.com/cglm/contributors.svg?width=890&button=false" /></a>
## Backers
Thank you to all our backers! 🙏 [[Become a backer](https://opencollective.com/cglm#backer)]
<a href="https://opencollective.com/cglm#backers" target="_blank"><img src="https://opencollective.com/cglm/backers.svg?width=890"></a>
## Sponsors
Support this project by becoming a sponsor. Your logo will show up here with a link to your website. [[Become a sponsor](https://opencollective.com/cglm#sponsor)]
<a href="https://opencollective.com/cglm/sponsor/0/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/0/avatar.svg"></a>
<a href="https://opencollective.com/cglm/sponsor/1/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/1/avatar.svg"></a>
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<a href="https://opencollective.com/cglm/sponsor/7/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/7/avatar.svg"></a>
<a href="https://opencollective.com/cglm/sponsor/8/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/8/avatar.svg"></a>
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theme: jekyll-theme-minimal
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#! /bin/sh
#
# Copyright (c), Recep Aslantas.
#
# MIT License (MIT), http://opensource.org/licenses/MIT
# Full license can be found in the LICENSE file
#
cd $(dirname "$0")
autoheader
if [ "$(uname)" = "Darwin" ]; then
glibtoolize
else
libtoolize
fi
aclocal -I m4
autoconf
automake --add-missing --copy
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prefix=@prefix@
exec_prefix=@exec_prefix@
libdir=@libdir@
includedir=@includedir@
Name: @PACKAGE_NAME@
Description: OpenGL Mathematics (glm) for C
URL: https://github.com/recp/cglm
Version: @PACKAGE_VERSION@
Cflags: -I${includedir}
Libs: -L${libdir} -lcglm @LIBS@
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Pod::Spec.new do |s|
# Description
s.name = "cglm"
s.version = "0.9.5"
s.summary = "📽 Highly Optimized Graphics Math (glm) for C"
s.description = <<-DESC
cglm is math library for graphics programming for C. See the documentation or README for all features.
DESC
s.documentation_url = "http://cglm.readthedocs.io"
# Home
s.homepage = "https://github.com/recp/cglm"
s.license = { :type => "MIT", :file => "LICENSE" }
s.author = { "Recep Aslantas" => "recp@acm.org" }
# Sources
s.source = { :git => "https://github.com/recp/cglm.git", :tag => "v#{s.version}" }
s.source_files = "src", "include/cglm/**/*.h"
s.public_header_files = "include", "include/cglm/**/*.h"
s.exclude_files = "src/win/*", "src/dllmain.c", "src/**/*.h"
s.preserve_paths = "include", "src"
s.header_mappings_dir = "include"
# Linking
s.library = "m"
# Configuration
s.pod_target_xcconfig = {
'CLANG_ENABLE_MODULES' => 'NO',
'CLANG_ALLOW_NON_MODULAR_INCLUDES_IN_FRAMEWORK_MODULES' => 'YES',
'CLANG_WARN_DOCUMENTATION_COMMENTS' => 'NO',
'GCC_C_LANGUAGE_STANDARD' => 'gnu11',
'GCC_PREPROCESSOR_DEFINITIONS' => '$(inherited) GLM_TESTS_NO_COLORFUL_OUTPUT'
}
end
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#*****************************************************************************
# Copyright (c), Recep Aslantas. *
# *
# MIT License (MIT), http://opensource.org/licenses/MIT *
# Full license can be found in the LICENSE file *
# *
#*****************************************************************************
AC_PREREQ([2.69])
AC_INIT([cglm], [0.9.6], [info@recp.me])
AM_INIT_AUTOMAKE([-Wall foreign subdir-objects serial-tests])
# Don't use the default cflags (-O2 -g), we set ours manually in Makefile.am.
: ${CFLAGS=""}
AC_CONFIG_MACRO_DIR([m4])
AC_CONFIG_SRCDIR([src/])
AC_CONFIG_HEADERS([config.h])
# Dependencies for pkg-config.
PKG_PROG_PKG_CONFIG
# Ancient versions of pkg-config (such as the one used in Travis CI)
# don't have this macro, so we need to do it manually.
m4_ifdef([PKG_INSTALLDIR], [
PKG_INSTALLDIR
], [
AC_ARG_WITH([pkgconfigdir],
[AS_HELP_STRING([--with-pkgconfigdir],
[pkg-config installation directory ['${libdir}/pkgconfig']])],,
[with_pkgconfigdir=]'${libdir}/pkgconfig')
AC_SUBST([pkgconfigdir], [$with_pkgconfigdir])
])
# Checks for programs.
AC_PROG_CC
AM_PROG_CC_C_O
AC_PROG_INSTALL
AM_PROG_AR
AC_ENABLE_SHARED
AC_ENABLE_STATIC
LT_INIT
# Checks for libraries.
AC_CHECK_LIB([m], [floor])
m4_ifdef([AM_SILENT_RULES], [AM_SILENT_RULES([yes])])
AC_SYS_LARGEFILE
# Checks for header files.
AC_CHECK_HEADERS([limits.h \
stddef.h \
stdint.h \
stdlib.h \
string.h ])
# Checks for typedefs, structures, and compiler characteristics.
AC_CHECK_HEADER_STDBOOL
AC_C_INLINE
AC_TYPE_INT32_T
AC_TYPE_INT64_T
AC_TYPE_SIZE_T
AC_TYPE_UINT16_T
AC_TYPE_UINT32_T
AC_TYPE_UINT64_T
AC_TYPE_UINT8_T
# Checks for library functions.
AC_FUNC_ERROR_AT_LINE
AC_CONFIG_FILES([Makefile cglm.pc])
AC_OUTPUT
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@ECHO OFF
pushd %~dp0
REM Command file for Sphinx documentation
if "%SPHINXBUILD%" == "" (
set SPHINXBUILD=python -msphinx
)
set SOURCEDIR=source
set BUILDDIR=build
set SPHINXPROJ=cglm
if "%1" == "" goto help
%SPHINXBUILD% >NUL 2>NUL
if errorlevel 9009 (
echo.
echo.The Sphinx module was not found. Make sure you have Sphinx installed,
echo.then set the SPHINXBUILD environment variable to point to the full
echo.path of the 'sphinx-build' executable. Alternatively you may add the
echo.Sphinx directory to PATH.
echo.
echo.If you don't have Sphinx installed, grab it from
echo.http://sphinx-doc.org/
exit /b 1
)
%SPHINXBUILD% -M %1 %SOURCEDIR% %BUILDDIR% %SPHINXOPTS%
goto end
:help
%SPHINXBUILD% -M help %SOURCEDIR% %BUILDDIR% %SPHINXOPTS%
:end
popd
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# Defining the exact version will make sure things don't break
sphinx==7.2.6
sphinx_rtd_theme==2.0.0
readthedocs-sphinx-search==0.3.2
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.. default-domain:: C
2d axis aligned bounding box (AABB)
================================================================================
Header: cglm/aabb2d.h
Some convenient functions provided for AABB.
**Definition of aabb:**
cglm defines an aabb as a two dimensional array of vec2's.
The first element is the **min** point and the second one is the **max** point.
If you have another type e.g. struct or even another representation then you must
convert it before and after calling a cglm aabb2d function.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. :c:func:`glm_aabb2d_size`
Functions:
1. :c:func:`glm_aabb2d_copy`
#. :c:func:`glm_aabb2d_zero`
#. :c:func:`glm_aabb2d_transform`
#. :c:func:`glm_aabb2d_merge`
#. :c:func:`glm_aabb2d_crop`
#. :c:func:`glm_aabb2d_crop_until`
#. :c:func:`glm_aabb2d_invalidate`
#. :c:func:`glm_aabb2d_isvalid`
#. :c:func:`glm_aabb2d_diag`
#. :c:func:`glm_aabb2d_sizev`
#. :c:func:`glm_aabb2d_radius`
#. :c:func:`glm_aabb2d_center`
#. :c:func:`glm_aabb2d_aabb`
#. :c:func:`glm_aabb2d_circle`
#. :c:func:`glm_aabb2d_point`
#. :c:func:`glm_aabb2d_contains`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_aabb2d_copy(vec2 aabb[2], vec2 dest[2])
| copy all members of [aabb] to [dest]
Parameters:
| *[in]* **aabb** bounding box
| *[out]* **dest** destination
.. c:function:: void glm_aabb2d_zero(vec2 aabb[2])
| makes all members of [aabb] 0.0f (zero)
Parameters:
| *[in, out]* **aabb** bounding box
.. c:function:: void glm_aabb2d_transform(vec2 aabb[2], mat3 m, vec2 dest[2])
| apply transform to Axis-Aligned Bounding Box
Parameters:
| *[in]* **aabb** bounding box
| *[in]* **m** transform matrix
| *[out]* **dest** transformed bounding box
.. c:function:: void glm_aabb2d_merge(vec2 aabb1[2], vec2 aabb2[2], vec2 dest[2])
| merges two AABB bounding box and creates new one
two aabb must be in the same space
Parameters:
| *[in]* **aabb1** bounding box 1
| *[in]* **aabb2** bounding box 2
| *[out]* **dest** merged bounding box
.. c:function:: void glm_aabb2d_crop(vec2 aabb[2], vec2 cropAabb[2], vec2 dest[2])
| crops a bounding box with another one.
this could be useful for getting a bbox which fits with view frustum and
object bounding boxes. In this case you crop view frustum box with objects
box
Parameters:
| *[in]* **aabb** bounding box 1
| *[in]* **cropAabb** crop box
| *[out]* **dest** cropped bounding box
.. c:function:: void glm_aabb2d_crop_until(vec2 aabb[2], vec2 cropAabb[2], vec2 clampAabb[2], vec2 dest[2])
| crops a bounding box with another one.
this could be useful for getting a bbox which fits with view frustum and
object bounding boxes. In this case you crop view frustum box with objects
box
Parameters:
| *[in]* **aabb** bounding box
| *[in]* **cropAabb** crop box
| *[in]* **clampAabb** minimum box
| *[out]* **dest** cropped bounding box
.. c:function:: void glm_aabb2d_invalidate(vec2 aabb[2])
| invalidate AABB min and max values
| It fills *max* values with -FLT_MAX and *min* values with +FLT_MAX
Parameters:
| *[in, out]* **aabb** bounding box
.. c:function:: bool glm_aabb2d_isvalid(vec2 aabb[2])
| check if AABB is valid or not
Parameters:
| *[in]* **aabb** bounding box
Returns:
returns true if aabb is valid otherwise false
.. c:function:: float glm_aabb2d_diag(vec2 aabb[2])
| distance between min and max
Parameters:
| *[in]* **aabb** bounding box
Returns:
distance between min - max
.. c:function:: void glm_aabb2d_sizev(vec2 aabb[2], vec2 dest)
| size vector of aabb
Parameters:
| *[in]* **aabb** bounding box
| *[out]* **dest** size vector
Returns:
size vector of aabb max - min
.. c:function:: float glm_aabb2d_radius(vec2 aabb[2])
| radius of sphere which surrounds AABB
Parameters:
| *[in]* **aabb** bounding box
.. c:function:: void glm_aabb2d_center(vec2 aabb[2], vec2 dest)
| computes center point of AABB
Parameters:
| *[in]* **aabb** bounding box
| *[out]* **dest** center of bounding box
.. c:function:: bool glm_aabb2d_aabb(vec2 aabb[2], vec2 other[2])
| check if two AABB intersects
Parameters:
| *[in]* **aabb** bounding box
| *[out]* **other** other bounding box
.. c:function:: bool glm_aabb2d_circle(vec2 aabb[2], vec3 c)
| check if AABB intersects with sphere
| https://github.com/erich666/GraphicsGems/blob/master/gems/BoxSphere.c
| Solid Box - Solid Sphere test.
Parameters:
| *[in]* **aabb** solid bounding box
| *[out]* **c** solid circle
.. c:function:: bool glm_aabb2d_point(vec2 aabb[2], vec2 point)
| check if point is inside of AABB
Parameters:
| *[in]* **aabb** bounding box
| *[out]* **point** point
.. c:function:: bool glm_aabb2d_contains(vec2 aabb[2], vec2 other[2])
| check if AABB contains other AABB
Parameters:
| *[in]* **aabb** bounding box
| *[out]* **other** other bounding box
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.. default-domain:: C
3D Affine Transforms (common)
================================================================================
Common transform functions.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_translate_make`
#. :c:func:`glm_scale_to`
#. :c:func:`glm_scale_make`
#. :c:func:`glm_scale`
#. :c:func:`glm_scale_uni`
#. :c:func:`glm_rotate_make`
#. :c:func:`glm_rotate_atm`
#. :c:func:`glm_decompose_scalev`
#. :c:func:`glm_uniscaled`
#. :c:func:`glm_decompose_rs`
#. :c:func:`glm_decompose`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_translate_make(mat4 m, vec3 v)
creates NEW translate transform matrix by *v* vector.
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** translate vector [x, y, z]
.. c:function:: void glm_scale_to(mat4 m, vec3 v, mat4 dest)
scale existing transform matrix by *v* vector and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **v** scale vector [x, y, z]
| *[out]* **dest** scaled matrix
.. c:function:: void glm_scale_make(mat4 m, vec3 v)
creates NEW scale matrix by v vector
Parameters:
| *[out]* **m** affine transform
| *[in]* **v** scale vector [x, y, z]
.. c:function:: void glm_scale(mat4 m, vec3 v)
scales existing transform matrix by v vector
and stores result in same matrix
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** scale vector [x, y, z]
.. c:function:: void glm_scale_uni(mat4 m, float s)
applies uniform scale to existing transform matrix v = [s, s, s]
and stores result in same matrix
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** scale factor
.. c:function:: void glm_rotate_make(mat4 m, float angle, vec3 axis)
creates NEW rotation matrix by angle and axis,
axis will be normalized so you don't need to normalize it
Parameters:
| *[out]* **m** affine transform
| *[in]* **axis** angle (radians)
| *[in]* **axis** axis
.. c:function:: void glm_rotate_atm(mat4 m, vec3 pivot, float angle, vec3 axis)
| creates NEW rotation matrix by angle and axis at given point
| this creates rotation matrix, it assumes you don't have a matrix
| this should work faster than glm_rotate_at because it reduces one glm_translate.
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **pivot** pivot, anchor point, rotation center
| *[in]* **angle** angle (radians)
| *[in]* **axis** axis
.. c:function:: void glm_decompose_scalev(mat4 m, vec3 s)
decompose scale vector
Parameters:
| *[in]* **m** affine transform
| *[out]* **s** scale vector (Sx, Sy, Sz)
.. c:function:: bool glm_uniscaled(mat4 m)
returns true if matrix is uniform scaled.
This is helpful for creating normal matrix.
Parameters:
| *[in]* **m** matrix
.. c:function:: void glm_decompose_rs(mat4 m, mat4 r, vec3 s)
decompose rotation matrix (mat4) and scale vector [Sx, Sy, Sz]
DON'T pass projected matrix here
Parameters:
| *[in]* **m** affine transform
| *[out]* **r** rotation matrix
| *[out]* **s** scale matrix
.. c:function:: void glm_decompose(mat4 m, vec4 t, mat4 r, vec3 s)
decompose affine transform, TODO: extract shear factors.
DON'T pass projected matrix here
Parameters:
| *[in]* **m** affine transform
| *[out]* **t** translation vector
| *[out]* **r** rotation matrix (mat4)
| *[out]* **s** scaling vector [X, Y, Z]
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.. default-domain:: C
3D Affine Transform Matrix (specialized functions)
================================================================================
Header: cglm/affine-mat.h
We mostly use glm_mat4_* for 4x4 general and transform matrices. **cglm**
provides optimized version of some functions. Because affine transform matrix is
a known format, for instance all last item of first three columns is zero.
You should be careful when using these functions. For instance :c:func:`glm_mul`
assumes matrix will be this format:
.. code-block:: text
R R R X
R R R Y
R R R Z
0 0 0 W
if you override zero values here then use :c:func:`glm_mat4_mul` version.
You cannot use :c:func:`glm_mul` anymore.
Same is also true for :c:func:`glm_inv_tr` if you only have rotation and
translation then it will work as expected, otherwise you cannot use that.
In the future it may accept scale factors too but currently it does not.
Table of contents (click func go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_mul`
#. :c:func:`glm_mul_rot`
#. :c:func:`glm_inv_tr`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mul(mat4 m1, mat4 m2, mat4 dest)
| this is similar to glm_mat4_mul but specialized to affine transform
Matrix format should be:
.. code-block:: text
R R R X
R R R Y
R R R Z
0 0 0 W
this reduces some multiplications. It should be faster than mat4_mul.
if you are not sure about matrix format then DON'T use this! use mat4_mul
Parameters:
| *[in]* **m1** affine matrix 1
| *[in]* **m2** affine matrix 2
| *[out]* **dest** result matrix
.. c:function:: void glm_mul_rot(mat4 m1, mat4 m2, mat4 dest)
| this is similar to glm_mat4_mul but specialized to rotation matrix
Right Matrix format should be (left is free):
.. code-block:: text
R R R 0
R R R 0
R R R 0
0 0 0 1
this reduces some multiplications. It should be faster than mat4_mul.
if you are not sure about matrix format then DON'T use this! use mat4_mul
Parameters:
| *[in]* **m1** affine matrix 1
| *[in]* **m2** affine matrix 2
| *[out]* **dest** result matrix
.. c:function:: void glm_inv_tr(mat4 mat)
| inverse orthonormal rotation + translation matrix (ridig-body)
.. code-block:: text
X = | R T | X' = | R' -R'T |
| 0 1 | | 0 1 |
use this if you only have rotation + translation, this should work faster
than :c:func:`glm_mat4_inv`
Don't use this if your matrix includes other things e.g. scale, shear...
Parameters:
| *[in,out]* **mat** affine matrix
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.. default-domain:: C
3D Affine Transforms (post)
================================================================================
Post transform functions are similar to pre transform functions except order of application is reversed.
Post transform functions are applied after the object is transformed with given (model matrix) transform.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_translated_to`
#. :c:func:`glm_translated`
#. :c:func:`glm_translated_x`
#. :c:func:`glm_translated_y`
#. :c:func:`glm_translated_z`
#. :c:func:`glm_rotated_x`
#. :c:func:`glm_rotated_y`
#. :c:func:`glm_rotated_z`
#. :c:func:`glm_rotated`
#. :c:func:`glm_rotated_at`
#. :c:func:`glm_spinned`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_translated_to(mat4 m, vec3 v, mat4 dest)
translate existing transform matrix by *v* vector and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **v** translate vector [x, y, z]
| *[out]* **dest** translated matrix
.. c:function:: void glm_translated(mat4 m, vec3 v)
translate existing transform matrix by *v* vector
and stores result in same matrix
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** translate vector [x, y, z]
.. c:function:: void glm_translated_x(mat4 m, float x)
translate existing transform matrix by x factor
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** x factor
.. c:function:: void glm_translated_y(mat4 m, float y)
translate existing transform matrix by *y* factor
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** y factor
.. c:function:: void glm_translated_z(mat4 m, float z)
translate existing transform matrix by *z* factor
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** z factor
.. c:function:: void glm_rotated_x(mat4 m, float angle, mat4 dest)
rotate existing transform matrix around X axis by angle
and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[out]* **dest** rotated matrix
.. c:function:: void glm_rotated_y(mat4 m, float angle, mat4 dest)
rotate existing transform matrix around Y axis by angle
and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[out]* **dest** rotated matrix
.. c:function:: void glm_rotated_z(mat4 m, float angle, mat4 dest)
rotate existing transform matrix around Z axis by angle
and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[out]* **dest** rotated matrix
.. c:function:: void glm_rotated(mat4 m, float angle, vec3 axis)
rotate existing transform matrix around Z axis by angle and axis
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[in]* **axis** axis
.. c:function:: void glm_rotated_at(mat4 m, vec3 pivot, float angle, vec3 axis)
rotate existing transform around given axis by angle at given pivot point (rotation center)
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **pivot** pivot, anchor point, rotation center
| *[in]* **angle** angle (radians)
| *[in]* **axis** axis
.. c:function:: void glm_spinned(mat4 m, float angle, vec3 axis)
| rotate existing transform matrix around given axis by angle around self (doesn't affected by position)
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[in]* **axis** axis
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.. default-domain:: C
3D Affine Transforms (pre)
================================================================================
Pre transform functions which are regular transform functions.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_translate_to`
#. :c:func:`glm_translate`
#. :c:func:`glm_translate_x`
#. :c:func:`glm_translate_y`
#. :c:func:`glm_translate_z`
#. :c:func:`glm_translate_make`
#. :c:func:`glm_scale_to`
#. :c:func:`glm_scale_make`
#. :c:func:`glm_scale`
#. :c:func:`glm_scale_uni`
#. :c:func:`glm_rotate_x`
#. :c:func:`glm_rotate_y`
#. :c:func:`glm_rotate_z`
#. :c:func:`glm_rotate_make`
#. :c:func:`glm_rotate`
#. :c:func:`glm_rotate_at`
#. :c:func:`glm_rotate_atm`
#. :c:func:`glm_decompose_scalev`
#. :c:func:`glm_uniscaled`
#. :c:func:`glm_decompose_rs`
#. :c:func:`glm_decompose`
#. :c:func:`glm_spin`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_translate_to(mat4 m, vec3 v, mat4 dest)
translate existing transform matrix by *v* vector and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **v** translate vector [x, y, z]
| *[out]* **dest** translated matrix
.. c:function:: void glm_translate(mat4 m, vec3 v)
translate existing transform matrix by *v* vector
and stores result in same matrix
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** translate vector [x, y, z]
.. c:function:: void glm_translate_x(mat4 m, float x)
translate existing transform matrix by x factor
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** x factor
.. c:function:: void glm_translate_y(mat4 m, float y)
translate existing transform matrix by *y* factor
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** y factor
.. c:function:: void glm_translate_z(mat4 m, float z)
translate existing transform matrix by *z* factor
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** z factor
.. c:function:: void glm_rotate_x(mat4 m, float angle, mat4 dest)
rotate existing transform matrix around X axis by angle
and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[out]* **dest** rotated matrix
.. c:function:: void glm_rotate_y(mat4 m, float angle, mat4 dest)
rotate existing transform matrix around Y axis by angle
and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[out]* **dest** rotated matrix
.. c:function:: void glm_rotate_z(mat4 m, float angle, mat4 dest)
rotate existing transform matrix around Z axis by angle
and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[out]* **dest** rotated matrix
.. c:function:: void glm_rotate(mat4 m, float angle, vec3 axis)
rotate existing transform matrix around given axis by angle at ORIGIN (0,0,0)
**❗️IMPORTANT ❗️**
If you need to rotate object around itself e.g. center of object or at
some point [of object] then `glm_rotate_at()` would be better choice to do so.
Even if object's model transform is identity, rotation may not be around
center of object if object does not lay out at ORIGIN perfectly.
Using `glm_rotate_at()` with center of bounding shape ( AABB, Sphere ... )
would be an easy option to rotate around object if object is not at origin.
One another option to rotate around itself at any point is `glm_spin()`
which is perfect if only rotating around model position is desired e.g. not
specific point on model for instance center of geometry or center of mass,
again if geometry is not perfectly centered at origin at identity transform,
rotation may not be around geometry.
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[in]* **axis** axis
.. c:function:: void glm_rotate_at(mat4 m, vec3 pivot, float angle, vec3 axis)
rotate existing transform around given axis by angle at given pivot point (rotation center)
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **pivot** pivot, anchor point, rotation center
| *[in]* **angle** angle (radians)
| *[in]* **axis** axis
.. c:function:: void glm_spin(mat4 m, float angle, vec3 axis)
| rotate existing transform matrix around given axis by angle around self (doesn't affected by position)
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[in]* **axis** axis
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.. default-domain:: C
3D Affine Transforms
================================================================================
Header: cglm/affine.h
Before starting, **cglm** provides two kind of transform functions; pre and post.
Pre functions (`T' = Tnew * T`) are like `glm_translate`, `glm_rotate` which means it will translate the vector first and then apply the model transformation.
Post functions (`T' = T * Tnew`) are like `glm_translated`, `glm_rotated` which means it will apply the model transformation first and then translate the vector.
`glm_translate`, `glm_rotate` are pre functions and are similar to C++ **glm** which you are familiar with.
In new versions of **cglm** we added `glm_translated`, `glm_rotated`... which are post functions,
they are useful in some cases, e.g. append transform to existing transform (apply/append transform as last transform T' = T * Tnew).
Post functions are named after pre functions with `ed` suffix, e.g. `glm_translate` -> `glm_translated`. So don't mix them up.
Initialize Transform Matrices
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions with **_make** prefix expect you don't have a matrix and they create
a matrix for you. You don't need to pass identity matrix.
But other functions expect you have a matrix and you want to transform them. If
you didn't have any existing matrix you have to initialize matrix to identity
before sending to transform functions.
There are also functions to decompose transform matrix. These functions can't
decompose matrix after projected.
Rotation Center
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Rotating functions uses origin as rotation center (pivot/anchor point),
since scale factors are stored in rotation matrix, same may also true for scalling.
cglm provides some functions for rotating around at given point e.g.
**glm_rotate_at**, **glm_quat_rotate_at**. Use them or follow next section for algorithm ("Rotate or Scale around specific Point (Pivot Point / Anchor Point)").
Also **cglm** provides :c:func:`glm_spin` and :c:func:`glm_spinned` functions to rotate around itself. No need to give pivot.
These functions are useful for rotating around center of object.
Rotate or Scale around specific Point (Anchor Point)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If you want to rotate model around arbitrary point follow these steps:
1. Move model from pivot point to origin: **translate(-pivot.x, -pivot.y, -pivot.z)**
2. Apply rotation (or scaling maybe)
3. Move model back from origin to pivot (reverse of step-1): **translate(pivot.x, pivot.y, pivot.z)**
**glm_rotate_at**, **glm_quat_rotate_at** and their helper functions works that way.
So if you use them you don't need to do these steps manually which are done by **cglm**.
The implementation would be:
.. code-block:: c
:linenos:
glm_translate(m, pivot);
glm_rotate(m, angle, axis);
glm_translate(m, pivotInv); /* pivotInv = -pivot */
or just:
.. code-block:: c
:linenos:
glm_rotate_at(m, pivot, angle, axis);
.. _TransformsOrder:
Transforms Order
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
It is important to understand this part especially if you call transform
functions multiple times
`glm_translate`, `glm_rotate`, `glm_scale` and `glm_quat_rotate` and their
helpers functions works like this (cglm provides reverse order as `ed` suffix e.g `glm_translated`, `glm_rotated` see post transforms):
.. code-block:: c
:linenos:
TransformMatrix = TransformMatrix * TranslateMatrix; // glm_translate()
TransformMatrix = TransformMatrix * RotateMatrix; // glm_rotate(), glm_quat_rotate()
TransformMatrix = TransformMatrix * ScaleMatrix; // glm_scale()
As you can see it is multiplied as right matrix. For instance what will happen if you call `glm_translate` twice?
.. code-block:: c
:linenos:
glm_translate(transform, translate1); /* transform = transform * translate1 */
glm_translate(transform, translate2); /* transform = transform * translate2 */
glm_rotate(transform, angle, axis) /* transform = transform * rotation */
Now lets try to understand this:
1. You call translate using `translate1` and you expect it will be first transform
because you call it first, do you?
Result will be **`transform = transform * translate1`**
2. Then you call translate using `translate2` and you expect it will be second transform?
Result will be **`transform = transform * translate2`**. Now lets expand transform,
it was `transform * translate1` before second call.
Now it is **`transform = transform * translate1 * translate2`**, now do you understand what I say?
3. After last call transform will be:
**`transform = transform * translate1 * translate2 * rotation`**
The order will be; **rotation will be applied first**, then **translate2** then **translate1**
It is all about matrix multiplication order. It is similar to MVP matrix:
`MVP = Projection * View * Model`, model will be applied first, then view then projection.
**Confused?**
In the end the last function call applied first in shaders.
As alternative way, you can create transform matrices individually then combine manually,
but don't forget that `glm_translate`, `glm_rotate`, `glm_scale`... are optimized and should be faster (an smaller assembly output) than manual multiplication
.. code-block:: c
:linenos:
mat4 transform1, transform2, transform3, finalTransform;
glm_translate_make(transform1, translate1);
glm_translate_make(transform2, translate2);
glm_rotate_make(transform3, angle, axis);
/* first apply transform1, then transform2, thentransform3 */
glm_mat4_mulN((mat4 *[]){&transform3, &transform2, &transform1}, 3, finalTransform);
/* if you don't want to use mulN, same as above */
glm_mat4_mul(transform3, transform2, finalTransform);
glm_mat4_mul(finalTransform, transform1, finalTransform);
Now transform1 will be applied first, then transform2 then transform3
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_translate_to`
#. :c:func:`glm_translate`
#. :c:func:`glm_translate_x`
#. :c:func:`glm_translate_y`
#. :c:func:`glm_translate_z`
#. :c:func:`glm_translate_make`
#. :c:func:`glm_scale_to`
#. :c:func:`glm_scale_make`
#. :c:func:`glm_scale`
#. :c:func:`glm_scale_uni`
#. :c:func:`glm_rotate_x`
#. :c:func:`glm_rotate_y`
#. :c:func:`glm_rotate_z`
#. :c:func:`glm_rotate_make`
#. :c:func:`glm_rotate`
#. :c:func:`glm_rotate_at`
#. :c:func:`glm_rotate_atm`
#. :c:func:`glm_decompose_scalev`
#. :c:func:`glm_uniscaled`
#. :c:func:`glm_decompose_rs`
#. :c:func:`glm_decompose`
Post functions (**NEW**):
1. :c:func:`glm_translated_to`
#. :c:func:`glm_translated`
#. :c:func:`glm_translated_x`
#. :c:func:`glm_translated_y`
#. :c:func:`glm_translated_z`
#. :c:func:`glm_rotated_x`
#. :c:func:`glm_rotated_y`
#. :c:func:`glm_rotated_z`
#. :c:func:`glm_rotated`
#. :c:func:`glm_rotated_at`
#. :c:func:`glm_spinned`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. toctree::
:maxdepth: 1
:caption: Affine categories:
affine-common
affine-pre
affine-post
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.. default-domain:: C
2D Affine Transforms
================================================================================
Header: cglm/affine2d.h
2D Transforms uses `2d` suffix for naming. If there is no 2D suffix it is 3D function.
Initialize Transform Matrices
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions with **_make** prefix expect you don't have a matrix and they create
a matrix for you. You don't need to pass identity matrix.
But other functions expect you have a matrix and you want to transform them. If
you didn't have any existing matrix you have to initialize matrix to identity
before sending to transform functions.
Transforms Order
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
See :ref:`TransformsOrder` to read similar section.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_translate2d`
#. :c:func:`glm_translate2d_to`
#. :c:func:`glm_translate2d_x`
#. :c:func:`glm_translate2d_y`
#. :c:func:`glm_translate2d_make`
#. :c:func:`glm_scale2d_to`
#. :c:func:`glm_scale2d_make`
#. :c:func:`glm_scale2d`
#. :c:func:`glm_scale2d_uni`
#. :c:func:`glm_rotate2d_make`
#. :c:func:`glm_rotate2d`
#. :c:func:`glm_rotate2d_to`
.. c:function:: void glm_translate2d(mat3 m, vec2 v)
translate existing 2d transform matrix by *v* vector and stores result in same matrix
Parameters:
| *[in, out]* **m** 2d affine transform
| *[in]* **v** translate vector [x, y]
.. c:function:: void glm_translate2d_to(mat3 m, vec2 v, mat3 dest)
translate existing 2d transform matrix by *v* vector and store result in dest
Parameters:
| *[in]* **m** 2d affine transform
| *[in]* **v** translate vector [x, y]
| *[out]* **dest** translated matrix
.. c:function:: void glm_translate2d_x(mat3 m, float x)
translate existing 2d transform matrix by x factor
Parameters:
| *[in, out]* **m** 2d affine transform
| *[in]* **x** x factor
.. c:function:: void glm_translate2d_y(mat3 m, float y)
translate existing 2d transform matrix by y factor
Parameters:
| *[in, out]* **m** 2d affine transform
| *[in]* **y** y factor
.. c:function:: void glm_translate2d_make(mat3 m, vec2 v)
creates NEW translate 2d transform matrix by *v* vector
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** translate vector [x, y]
.. c:function:: void glm_scale2d_to(mat3 m, vec2 v, mat3 dest)
scale existing 2d transform matrix by *v* vector and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **v** scale vector [x, y]
| *[out]* **dest** scaled matrix
.. c:function:: void glm_scale2d_make(mat3 m, vec2 v)
creates NEW 2d scale matrix by *v* vector
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** scale vector [x, y]
.. c:function:: void glm_scale2d(mat3 m, vec2 v)
scales existing 2d transform matrix by *v* vector and stores result in same matrix
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **v** translate vector [x, y]
.. c:function:: void glm_scale2d_uni(mat3 m, float s)
applies uniform scale to existing 2d transform matrix v = [s, s] and stores result in same matrix
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **s** scale factor
.. c:function:: void glm_rotate2d_make(mat3 m, float angle)
creates NEW rotation matrix by angle around *Z* axis
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **angle** angle (radians)
.. c:function:: void glm_rotate2d(mat3 m, float angle)
rotate existing 2d transform matrix around *Z* axis by angle and store result in same matrix
Parameters:
| *[in, out]* **m** affine transform
| *[in]* **angle** angle (radians)
.. c:function:: void glm_rotate2d_to(mat3 m, float angle, mat3 dest)
rotate existing 2d transform matrix around *Z* axis by angle and store result in dest
Parameters:
| *[in]* **m** affine transform
| *[in]* **angle** angle (radians)
| *[out]* **dest** rotated matrix
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📚 API documentation
================================
**cglm** provides a few APIs for similar functions.
* 📦 **Inline API**: All functions are inline. You can include **cglm/cglm.h** header
to use this API. This is the default API. `glm_` is namespace/prefix for this API.
* 📦 **Call API**: All functions are not inline. You need to build *cglm* and link it
to your project. You can include **cglm/call.h** header to use this API. `glmc_` is namespace/prefix for this API.
And also there are also sub categories:
* 📦 **Array API**: Types are raw arrays and functions takes array as argument. You can include **cglm/cglm.h** header
to use this API. This is the default API. `glm_` is namespace/prefix for this API.
* 📦 **Struct API**: Types are union/struct and functions takes struct as argument and return structs if needed. You can include **cglm/struct.h** header
to use this API. This also includes **cglm/cglm.h** header.`glms_` is namespace/prefix for this API but your can omit or change it, see struct api docs.
* 📦 **SIMD API**: SIMD functions and helpers. `glmm_` is namespace/prefix for this API.
📌 Since struct api and call api are built top of inline array api, follow inline array api docs for individual functions.
.. toctree::
:maxdepth: 1
:caption: API documentations:
api_inline_array
api_struct
api_call
api_simd
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Call API
================================
Call API is pre-built API for making calls from library. It is built on top of the array api. **glmc_** is the namespace for the call api.
**c** stands for call.
You need to built cglm to use call api. See build instructions (:doc:`build`) for more details.
The functions except namespace **glmc_** are same as inline api. See ( :doc:`api_inline_array` ) for more details.
📌 In the future we can define option to forward inline functions or struct api to call api.
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Array API - Inline (Default)
========================================
This is the default API of *cglm*. All functions are forced to be inlined
and struct api, call api uses this inline api to share implementation.
📌 Call api is also array api but it is not inlined.
In the future there may be option to forward struct api to call api instead of inline api to reduce binary size if needed.
📌 **USE this API docs for similar functions in struct and call api**
📌 In struct api you can omit namespace e.g :code:`glms_vec3_dot` can be called as :code:`vec3_dot` in struct api, see :doc:`api_struct` to configure struct api for more details.
📌 In struct api functions can return struct/union
📌 In struct api you can access items like **.x**, **.y**, **.z**, **.w**, **.r**, **.g**, **.b**, **.a**, **.m00**, **m01**...
Some functions may exist twice, once for their namespace and once for global namespace
to make easier to write very common functions
For instance, in general we use :code:`glm_vec3_dot` to get dot product
of two **vec3**. Now we can also do this with :code:`glm_dot`,
same for *_cross* and so on...
The original function stays where it is, the function in global namespace
of same name is just an alias, so there is no call version of those functions.
e.g there is no func like :code:`glmc_dot` because *glm_dot* is just alias for
:code:`glm_vec3_dot`
By including **cglm/cglm.h** header you will include all inline version
of functions. Since functions in this header[s] are inline you don't need to
build or link *cglm* against your project.
But by including **cglm/call.h** header you will include all *non-inline*
version of functions. You need to build *cglm* and link it.
Follow the :doc:`build` documentation for this
.. toctree::
:maxdepth: 1
:caption: API categories:
affine
affine-mat
affine2d
cam
frustum
box
aabb2d
quat
euler
mat2
mat2x3
mat2x4
mat3
mat3x2
mat3x4
mat4
mat4x2
mat4x3
vec2
vec2-ext
vec3
vec3-ext
vec4
vec4-ext
ivec2
ivec3
ivec4
color
plane
noise
project
util
io
call
sphere
curve
bezier
version
ray
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SIMD API
================================
SIMD api is special api for SIMD operations. **glmm_** prefix is used for SIMD operations in cglm. It is used in many places in cglm.
You can use it for your own SIMD operations too. In the future the api may be extended by time.
Supported SIMD architectures ( may vary by time )
* SSE / SSE2
* AVX
* NEON
* WASM 128
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Struct API
================================
Struct API is alternative API to array api to use **cglm** with improved type safety and easy to use.
Since struct api is built top of array api, every struct API is not documented here.
See array api documentation for more information for individual functions.
By default struct api adds `s` suffix to every type name e.g. vec3s, mat4s, versors etc.
Also struct api `s` suffix to namespace e.g. `glms_vec3_add`, `glms_mat4_mul` etc.
By starting v0.9.0, struct api namespace is configurable. We can omit **glms_** namespace or
even change it with custom name to move existing api integrations to **cglm** more easily...
We can also add **s** to function names if we want e.g. `glms_vec3_add()` -> `vec3_add()` or `vec3s_add()`.
By including **cglm/struct.h** header you will include all struct api. It will also include **cglm/cglm.h** too.
Since struct apis are inline you don't need to build or link *cglm* against
your project unless if you want to use pre-built call-api too.
Struct API is built top of array api. So you can mix them.
Use **.raw** union member to access raw array data to use it with array api.
Unlike array api ([0], [1], [0][0] ...), it is also possible to use struct api
with **.x**, **.y**, **.z**, **.w**, **.r**, **.g**, **.b**, **.a**, **.m00**, **m01**...
accessors to access individual elements/properties of vectors and matrices.
Struct API usage:
-----------------
.. code-block:: c
#include <cglm/struct.h>
mat4s m1 = glms_mat4_identity(); /* init... */
mat4s m2 = glms_mat4_identity(); /* init... */
mat4s m3 = glms_mat4_mul(glms_mat4_mul(m1, m2), glms_mat4_mul(m3, m4));
vec3s v1 = { 1.0f, 0.0f, 0.0f };
vec3s v2 = { 0.0f, 1.0f, 0.0f };
vec4s v4 = { 0.0f, 1.0f, 0.0f, 0.0f };
vec4 v5a = { 0.0f, 1.0f, 0.0f, 0.0f };
mat4s m4 = glms_rotate(m3, M_PI_2,
glms_vec3_cross(glms_vec3_add(v1, v6)
glms_vec3_add(v1, v7)));
v1.x = 1.0f; v1.y = 0.0f; v1.z = 0.0f;
// or
v1.raw[0] = 1.0f; v1.raw[1] = 0.0f; v1.raw[2] = 0.0f;
/* use struct api with array api (mix them). */
/* use .raw to access array and use it with array api */
glm_vec4_add(m4.col[0].raw, v5a, m4.col[0].raw);
glm_mat4_mulv(m4.raw, v4.raw, v5a);
or omit `glms_` namespace completely (see options below):
.. code-block:: c
#define CGLM_OMIT_NS_FROM_STRUCT_API
#include <cglm/struct.h>
mat4s m1 = mat4_identity(); /* init... */
mat4s m2 = mat4_identity(); /* init... */
mat4s m3 = mat4_mul(mat4_mul(m1, m2), mat4_mul(m3, m4));
vec3s v1 = { 1.0f, 0.0f, 0.0f };
vec3s v2 = { 0.0f, 1.0f, 0.0f };
vec4s v4 = { 0.0f, 1.0f, 0.0f, 0.0f };
vec4 v5a = { 0.0f, 1.0f, 0.0f, 0.0f };
mat4s m4 = glms_rotate(m3, M_PI_2,
vec3_cross(vec3_add(v1, v6)
vec3_add(v1, v7)));
v1.x = 1.0f; v1.y = 0.0f; v1.z = 0.0f;
// or
v1.raw[0] = 1.0f; v1.raw[1] = 0.0f; v1.raw[2] = 0.0f;
/* use struct api with array api (mix them) */
glm_vec4_add(m4.col[0].raw, v5a, m4.col[0].raw);
glm_mat4_mulv(m4.raw, v4.raw, v5a);
Configuring the Struct API:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
To configure the Struct API namespace, you can define the following macros before including the cglm/struct.h header:
- **CGLM_OMIT_NS_FROM_STRUCT_API**: omits CGLM_STRUCT_API_NS (`glms_`) namespace completely if there is sub namespace e.g `mat4_`, `vec4_` ... DEFAULT is not defined
- **CGLM_STRUCT_API_NS**: define name space for struct api, DEFAULT is **glms**
- **CGLM_STRUCT_API_NAME_SUFFIX**: define name suffix, DEFAULT is **empty** e.g defining it as #define CGLM_STRUCT_API_NAME_SUFFIX s will add s suffix to mat4_mul -> mat4s_mul
❗️ IMPORTANT ❗️
It's a good idea to set up your config macros in build settings like CMake, Xcode, or Visual Studio. This is especially important if you're using features like Modules in Xcode, where adding macros directly before the **cglm** headers might not work.
Detailed documentation for Struct API:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Since struct api if built top of array api, see array api functions for more information about individual functions.
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.. default-domain:: C
Bezier
================================================================================
Header: cglm/bezier.h
Common helpers for cubic bezier and similar curves.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_bezier`
2. :c:func:`glm_hermite`
3. :c:func:`glm_decasteljau`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: float glm_bezier(float s, float p0, float c0, float c1, float p1)
| cubic bezier interpolation
| formula:
.. code-block:: text
B(s) = P0*(1-s)^3 + 3*C0*s*(1-s)^2 + 3*C1*s^2*(1-s) + P1*s^3
| similar result using matrix:
.. code-block:: text
B(s) = glm_smc(t, GLM_BEZIER_MAT, (vec4){p0, c0, c1, p1})
| glm_eq(glm_smc(...), glm_bezier(...)) should return TRUE
Parameters:
| *[in]* **s** parameter between 0 and 1
| *[in]* **p0** begin point
| *[in]* **c0** control point 1
| *[in]* **c1** control point 2
| *[in]* **p1** end point
Returns:
B(s)
.. c:function:: float glm_hermite(float s, float p0, float t0, float t1, float p1)
| cubic hermite interpolation
| formula:
.. code-block:: text
H(s) = P0*(2*s^3 - 3*s^2 + 1) + T0*(s^3 - 2*s^2 + s) + P1*(-2*s^3 + 3*s^2) + T1*(s^3 - s^2)
| similar result using matrix:
.. code-block:: text
H(s) = glm_smc(t, GLM_HERMITE_MAT, (vec4){p0, p1, c0, c1})
| glm_eq(glm_smc(...), glm_hermite(...)) should return TRUE
Parameters:
| *[in]* **s** parameter between 0 and 1
| *[in]* **p0** begin point
| *[in]* **t0** tangent 1
| *[in]* **t1** tangent 2
| *[in]* **p1** end point
Returns:
B(s)
.. c:function:: float glm_decasteljau(float prm, float p0, float c0, float c1, float p1)
| iterative way to solve cubic equation
Parameters:
| *[in]* **prm** parameter between 0 and 1
| *[in]* **p0** begin point
| *[in]* **c0** control point 1
| *[in]* **c1** control point 2
| *[in]* **p1** end point
Returns:
parameter to use in cubic equation
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.. default-domain:: C
axis aligned bounding box (AABB)
================================================================================
Header: cglm/box.h
Some convenient functions provided for AABB.
**Definition of box:**
cglm defines box as two dimensional array of vec3.
The first element is **min** point and the second one is **max** point.
If you have another type e.g. struct or even another representation then you must
convert it before and after call cglm box function.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_aabb_transform`
#. :c:func:`glm_aabb_merge`
#. :c:func:`glm_aabb_crop`
#. :c:func:`glm_aabb_crop_until`
#. :c:func:`glm_aabb_frustum`
#. :c:func:`glm_aabb_invalidate`
#. :c:func:`glm_aabb_isvalid`
#. :c:func:`glm_aabb_size`
#. :c:func:`glm_aabb_radius`
#. :c:func:`glm_aabb_center`
#. :c:func:`glm_aabb_aabb`
#. :c:func:`glm_aabb_sphere`
#. :c:func:`glm_aabb_point`
#. :c:func:`glm_aabb_contains`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_aabb_transform(vec3 box[2], mat4 m, vec3 dest[2])
| apply transform to Axis-Aligned Bounding Box
Parameters:
| *[in]* **box** bounding box
| *[in]* **m** transform matrix
| *[out]* **dest** transformed bounding box
.. c:function:: void glm_aabb_merge(vec3 box1[2], vec3 box2[2], vec3 dest[2])
| merges two AABB bounding box and creates new one
two box must be in same space, if one of box is in different space then
you should consider to convert it's space by glm_box_space
Parameters:
| *[in]* **box1** bounding box 1
| *[in]* **box2** bounding box 2
| *[out]* **dest** merged bounding box
.. c:function:: void glm_aabb_crop(vec3 box[2], vec3 cropBox[2], vec3 dest[2])
| crops a bounding box with another one.
this could be useful for getting a bbox which fits with view frustum and
object bounding boxes. In this case you crop view frustum box with objects
box
Parameters:
| *[in]* **box** bounding box 1
| *[in]* **cropBox** crop box
| *[out]* **dest** cropped bounding box
.. c:function:: void glm_aabb_crop_until(vec3 box[2], vec3 cropBox[2], vec3 clampBox[2], vec3 dest[2])
| crops a bounding box with another one.
this could be useful for getting a bbox which fits with view frustum and
object bounding boxes. In this case you crop view frustum box with objects
box
Parameters:
| *[in]* **box** bounding box
| *[in]* **cropBox** crop box
| *[in]* **clampBox** minimum box
| *[out]* **dest** cropped bounding box
.. c:function:: bool glm_aabb_frustum(vec3 box[2], vec4 planes[6])
| check if AABB intersects with frustum planes
this could be useful for frustum culling using AABB.
OPTIMIZATION HINT:
if planes order is similar to LEFT, RIGHT, BOTTOM, TOP, NEAR, FAR
then this method should run even faster because it would only use two
planes if object is not inside the two planes
fortunately cglm extracts planes as this order! just pass what you got!
Parameters:
| *[in]* **box** bounding box
| *[out]* **planes** frustum planes
.. c:function:: void glm_aabb_invalidate(vec3 box[2])
| invalidate AABB min and max values
| It fills *max* values with -FLT_MAX and *min* values with +FLT_MAX
Parameters:
| *[in, out]* **box** bounding box
.. c:function:: bool glm_aabb_isvalid(vec3 box[2])
| check if AABB is valid or not
Parameters:
| *[in]* **box** bounding box
Returns:
returns true if aabb is valid otherwise false
.. c:function:: float glm_aabb_size(vec3 box[2])
| distance between of min and max
Parameters:
| *[in]* **box** bounding box
Returns:
distance between min - max
.. c:function:: float glm_aabb_radius(vec3 box[2])
| radius of sphere which surrounds AABB
Parameters:
| *[in]* **box** bounding box
.. c:function:: void glm_aabb_center(vec3 box[2], vec3 dest)
| computes center point of AABB
Parameters:
| *[in]* **box** bounding box
| *[out]* **dest** center of bounding box
.. c:function:: bool glm_aabb_aabb(vec3 box[2], vec3 other[2])
| check if two AABB intersects
Parameters:
| *[in]* **box** bounding box
| *[out]* **other** other bounding box
.. c:function:: bool glm_aabb_sphere(vec3 box[2], vec4 s)
| check if AABB intersects with sphere
| https://github.com/erich666/GraphicsGems/blob/master/gems/BoxSphere.c
| Solid Box - Solid Sphere test.
Parameters:
| *[in]* **box** solid bounding box
| *[out]* **s** solid sphere
.. c:function:: bool glm_aabb_point(vec3 box[2], vec3 point)
| check if point is inside of AABB
Parameters:
| *[in]* **box** bounding box
| *[out]* **point** point
.. c:function:: bool glm_aabb_contains(vec3 box[2], vec3 other[2])
| check if AABB contains other AABB
Parameters:
| *[in]* **box** bounding box
| *[out]* **other** other bounding box
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Build cglm
================================
| **cglm** does not have any external dependencies.
.. note::
If you only need to inline versions, you don't need to build **cglm**, you don't need to link it to your program.
Just import cglm to your project as dependency / external lib by copy-paste then use it as usual
CMake (All platforms):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. code-block:: bash
:linenos:
$ mkdir build
$ cd build
$ cmake .. # [Optional] -DCGLM_SHARED=ON
$ make
$ sudo make install # [Optional]
**make** will build cglm to **build** folder.
If you don't want to install **cglm** to your system's folder you can get static and dynamic libs in this folder.
**CMake Options:**
.. code-block:: CMake
:linenos:
option(CGLM_SHARED "Shared build" ON)
option(CGLM_STATIC "Static build" OFF)
option(CGLM_USE_C99 "" OFF) # C11
option(CGLM_USE_TEST "Enable Tests" OFF) # for make check - make test
**Use as header-only library with your CMake project example**
This requires no building or installation of cglm.
.. code-block:: CMake
:linenos:
cmake_minimum_required(VERSION 3.8.2)
project(<Your Project Name>)
add_executable(${PROJECT_NAME} src/main.c)
target_link_libraries(${LIBRARY_NAME} PRIVATE
cglm_headers)
add_subdirectory(external/cglm/ EXCLUDE_FROM_ALL)
**Use with your CMake project example**
.. code-block:: CMake
:linenos:
cmake_minimum_required(VERSION 3.8.2)
project(<Your Project Name>)
add_executable(${PROJECT_NAME} src/main.c)
target_link_libraries(${LIBRARY_NAME} PRIVATE
cglm)
add_subdirectory(external/cglm/)
Meson (All platforms):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. code-block::
:linenos:
$ meson build # [Optional] --default-library=static
$ cd build
$ ninja
$ sudo ninja install # [Optional]
**Meson Options:**
.. code-block::
:linenos:
c_std=c11
buildtype=release
default_library=shared
enable_tests=false # to run tests: ninja test
**Use with your Meson project**
.. code-block::
:linenos:
# Clone cglm or create a cglm.wrap under <source_root>/subprojects
project('name', 'c')
cglm_dep = dependency('cglm', fallback : 'cglm', 'cglm_dep')
executable('exe', 'src/main.c', dependencies : cglm_dep)
Unix (Autotools):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. code-block:: bash
:linenos:
$ sh autogen.sh
$ ./configure
$ make
$ make check # run tests (optional)
$ [sudo] make install # install to system (optional)
**make** will build cglm to **.libs** sub folder in project folder.
If you don't want to install **cglm** to your system's folder you can get static and dynamic libs in this folder.
Windows (MSBuild):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Windows related build files, project files are located in `win` folder,
make sure you are inside in cglm/win folder.
Code Analysis are enabled, it may take awhile to build.
.. code-block:: bash
:linenos:
$ cd win
$ .\build.bat
if *msbuild* is not worked (because of multi versions of Visual Studio)
then try to build with *devenv*:
.. code-block:: bash
:linenos:
$ devenv cglm.sln /Build Release
Currently tests are not available on Windows.
Documentation (Sphinx):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
**cglm** uses sphinx framework for documentation, it allows lot of formats for documentation. To see all options see sphinx build page:
https://www.sphinx-doc.org/en/master/man/sphinx-build.html
Example build:
.. code-block:: bash
:linenos:
$ cd cglm/docs
$ sphinx-build source build
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.. default-domain:: C
precompiled functions (call)
================================================================================
All functions in **glm_** namespace are forced to **inline**.
Most functions also have pre-compiled version.
Precompiled versions are in **glmc_** namespace. *c* in the namespace stands for
"call".
Since precompiled functions are just wrapper for inline versions,
these functions are not documented individually.
It would be duplicate documentation also it
would be hard to sync documentation between inline and call version for me.
By including **clgm/cglm.h** you include all inline versions. To get precompiled
versions you need to include **cglm/call.h** header it also includes all
call versions plus *clgm/cglm.h* (inline versions)
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.. default-domain:: C
camera
======
Header: cglm/cam.h
There are many convenient functions for camera. For instance :c:func:`glm_look`
is just wrapper for :c:func:`glm_lookat`. Sometimes you only have direction
instead of target, so that makes easy to build view matrix using direction.
There is also :c:func:`glm_look_anyup` function which can help build view matrix
without providing UP axis. It uses :c:func:`glm_vec3_ortho` to get a UP axis and
builds view matrix.
You can also *_default* versions of ortho and perspective to build projection
fast if you don't care specific projection values.
*_decomp* means decompose; these function can help to decompose projection
matrices.
.. note:: Be careful when working with high range (very small near, very large
far) projection matrices. You may not get exact value you gave.
**float** type cannot store very high precision so you will lose precision.
Also your projection matrix will be inaccurate due to losing precision
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_frustum`
#. :c:func:`glm_ortho`
#. :c:func:`glm_ortho_aabb`
#. :c:func:`glm_ortho_aabb_p`
#. :c:func:`glm_ortho_aabb_pz`
#. :c:func:`glm_ortho_default`
#. :c:func:`glm_ortho_default_s`
#. :c:func:`glm_perspective`
#. :c:func:`glm_persp_move_far`
#. :c:func:`glm_perspective_default`
#. :c:func:`glm_perspective_resize`
#. :c:func:`glm_lookat`
#. :c:func:`glm_look`
#. :c:func:`glm_look_anyup`
#. :c:func:`glm_persp_decomp`
#. :c:func:`glm_persp_decompv`
#. :c:func:`glm_persp_decomp_x`
#. :c:func:`glm_persp_decomp_y`
#. :c:func:`glm_persp_decomp_z`
#. :c:func:`glm_persp_decomp_far`
#. :c:func:`glm_persp_decomp_near`
#. :c:func:`glm_persp_fovy`
#. :c:func:`glm_persp_aspect`
#. :c:func:`glm_persp_sizes`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_frustum(float left, float right, float bottom, float top, float nearVal, float farVal, mat4 dest)
| set up perspective peprojection matrix
Parameters:
| *[in]* **left** viewport.left
| *[in]* **right** viewport.right
| *[in]* **bottom** viewport.bottom
| *[in]* **top** viewport.top
| *[in]* **nearVal** near clipping plane
| *[in]* **farVal** far clipping plane
| *[out]* **dest** result matrix
.. c:function:: void glm_ortho(float left, float right, float bottom, float top, float nearVal, float farVal, mat4 dest)
| set up orthographic projection matrix
Parameters:
| *[in]* **left** viewport.left
| *[in]* **right** viewport.right
| *[in]* **bottom** viewport.bottom
| *[in]* **top** viewport.top
| *[in]* **nearVal** near clipping plane
| *[in]* **farVal** far clipping plane
| *[out]* **dest** result matrix
.. c:function:: void glm_ortho_aabb(vec3 box[2], mat4 dest)
| set up orthographic projection matrix using bounding box
| bounding box (AABB) must be in view space
Parameters:
| *[in]* **box** AABB
| *[in]* **dest** result matrix
.. c:function:: void glm_ortho_aabb_p(vec3 box[2], float padding, mat4 dest)
| set up orthographic projection matrix using bounding box
| bounding box (AABB) must be in view space
this version adds padding to box
Parameters:
| *[in]* **box** AABB
| *[in]* **padding** padding
| *[out]* **dest** result matrix
.. c:function:: void glm_ortho_aabb_pz(vec3 box[2], float padding, mat4 dest)
| set up orthographic projection matrix using bounding box
| bounding box (AABB) must be in view space
this version adds Z padding to box
Parameters:
| *[in]* **box** AABB
| *[in]* **padding** padding for near and far
| *[out]* **dest** result matrix
Returns:
square of norm / magnitude
.. c:function:: void glm_ortho_default(float aspect, mat4 dest)
| set up unit orthographic projection matrix
Parameters:
| *[in]* **aspect** aspect ration ( width / height )
| *[out]* **dest** result matrix
.. c:function:: void glm_ortho_default_s(float aspect, float size, mat4 dest)
| set up orthographic projection matrix with given CUBE size
Parameters:
| *[in]* **aspect** aspect ration ( width / height )
| *[in]* **size** cube size
| *[out]* **dest** result matrix
.. c:function:: void glm_perspective(float fovy, float aspect, float nearVal, float farVal, mat4 dest)
| set up perspective projection matrix
Parameters:
| *[in]* **fovy** field of view angle (in radians)
| *[in]* **aspect** aspect ratio ( width / height )
| *[in]* **nearVal** near clipping plane
| *[in]* **farVal** far clipping planes
| *[out]* **dest** result matrix
.. c:function:: void glm_persp_move_far(mat4 proj, float deltaFar)
| extend perspective projection matrix's far distance
| this function does not guarantee far >= near, be aware of that!
Parameters:
| *[in, out]* **proj** projection matrix to extend
| *[in]* **deltaFar** distance from existing far (negative to shink)
.. c:function:: void glm_perspective_default(float aspect, mat4 dest)
| set up perspective projection matrix with default near/far
and angle values
Parameters:
| *[in]* **aspect** aspect aspect ratio ( width / height )
| *[out]* **dest** result matrix
.. c:function:: void glm_perspective_resize(float aspect, mat4 proj)
| resize perspective matrix by aspect ratio ( width / height )
this makes very easy to resize proj matrix when window / viewport reized
Parameters:
| *[in]* **aspect** aspect ratio ( width / height )
| *[in, out]* **proj** perspective projection matrix
.. c:function:: void glm_lookat(vec3 eye, vec3 center, vec3 up, mat4 dest)
| set up view matrix
.. note:: The UP vector must not be parallel to the line of sight from the eye point to the reference point.
Parameters:
| *[in]* **eye** eye vector
| *[in]* **center** center vector
| *[in]* **up** up vector
| *[out]* **dest** result matrix
.. c:function:: void glm_look(vec3 eye, vec3 dir, vec3 up, mat4 dest)
| set up view matrix
convenient wrapper for :c:func:`glm_lookat`: if you only have direction not
target self then this might be useful. Because you need to get target
from direction.
.. note:: The UP vector must not be parallel to the line of sight from the eye point to the reference point.
Parameters:
| *[in]* **eye** eye vector
| *[in]* **dir** direction vector
| *[in]* **up** up vector
| *[out]* **dest** result matrix
.. c:function:: void glm_look_anyup(vec3 eye, vec3 dir, mat4 dest)
| set up view matrix
convenient wrapper for :c:func:`glm_look` if you only have direction
and if you don't care what UP vector is then this might be useful
to create view matrix
Parameters:
| *[in]* **eye** eye vector
| *[in]* **dir** direction vector
| *[out]* **dest** result matrix
.. c:function:: void glm_persp_decomp(mat4 proj, float *nearVal, float *farVal, float *top, float *bottom, float *left, float *right)
| decomposes frustum values of perspective projection.
Parameters:
| *[in]* **eye** perspective projection matrix
| *[out]* **nearVal** near
| *[out]* **farVal** far
| *[out]* **top** top
| *[out]* **bottom** bottom
| *[out]* **left** left
| *[out]* **right** right
.. c:function:: void glm_persp_decompv(mat4 proj, float dest[6])
| decomposes frustum values of perspective projection.
| this makes easy to get all values at once
Parameters:
| *[in]* **proj** perspective projection matrix
| *[out]* **dest** array
.. c:function:: void glm_persp_decomp_x(mat4 proj, float *left, float *right)
| decomposes left and right values of perspective projection.
| x stands for x axis (left / right axis)
Parameters:
| *[in]* **proj** perspective projection matrix
| *[out]* **left** left
| *[out]* **right** right
.. c:function:: void glm_persp_decomp_y(mat4 proj, float *top, float *bottom)
| decomposes top and bottom values of perspective projection.
| y stands for y axis (top / bottom axis)
Parameters:
| *[in]* **proj** perspective projection matrix
| *[out]* **top** top
| *[out]* **bottom** bottom
.. c:function:: void glm_persp_decomp_z(mat4 proj, float *nearVal, float *farVal)
| decomposes near and far values of perspective projection.
| z stands for z axis (near / far axis)
Parameters:
| *[in]* **proj** perspective projection matrix
| *[out]* **nearVal** near
| *[out]* **farVal** far
.. c:function:: void glm_persp_decomp_far(mat4 proj, float * __restrict farVal)
| decomposes far value of perspective projection.
Parameters:
| *[in]* **proj** perspective projection matrix
| *[out]* **farVal** far
.. c:function:: void glm_persp_decomp_near(mat4 proj, float * __restrict nearVal)
| decomposes near value of perspective projection.
Parameters:
| *[in]* **proj** perspective projection matrix
| *[out]* **nearVal** near
.. c:function:: float glm_persp_fovy(mat4 proj)
| returns field of view angle along the Y-axis (in radians)
if you need to degrees, use glm_deg to convert it or use this:
fovy_deg = glm_deg(glm_persp_fovy(projMatrix))
Parameters:
| *[in]* **proj** perspective projection matrix
Returns:
| fovy in radians
.. c:function:: float glm_persp_aspect(mat4 proj)
| returns aspect ratio of perspective projection
Parameters:
| *[in]* **proj** perspective projection matrix
.. c:function:: void glm_persp_sizes(mat4 proj, float fovy, vec4 dest)
| returns sizes of near and far planes of perspective projection
Parameters:
| *[in]* **proj** perspective projection matrix
| *[in]* **fovy** fovy (see brief)
| *[out]* **dest** sizes order: [Wnear, Hnear, Wfar, Hfar]
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.. default-domain:: C
color
================================================================================
Header: cglm/color.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_luminance`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: float glm_luminance(vec3 rgb)
| averages the color channels into one value
This function uses formula in COLLADA 1.5 spec which is
.. code-block:: text
luminance = (color.r * 0.212671) +
(color.g * 0.715160) +
(color.b * 0.072169)
It is based on the ISO/CIE color standards (see ITU-R Recommendation BT.709-4),
that averages the color channels into one value
Parameters:
| *[in]* **rgb** RGB color
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# -*- coding: utf-8 -*-
#
# cglm documentation build configuration file, created by
# sphinx-quickstart on Tue Jun 6 20:31:05 2017.
#
# This file is execfile()d with the current directory set to its
# containing dir.
#
# Note that not all possible configuration values are present in this
# autogenerated file.
#
# All configuration values have a default; values that are commented out
# serve to show the default.
# If extensions (or modules to document with autodoc) are in another directory,
# add these directories to sys.path here. If the directory is relative to the
# documentation root, use os.path.abspath to make it absolute, like shown here.
#
# import os
# import sys
# sys.path.insert(0, os.path.abspath('.'))
# -- General configuration ------------------------------------------------
# If your documentation needs a minimal Sphinx version, state it here.
#
# needs_sphinx = '3.0'
# Add any Sphinx extension module names here, as strings. They can be
# extensions coming with Sphinx (named 'sphinx.ext.*') or your custom
# ones.
extensions = [
'sphinx.ext.doctest',
'sphinx.ext.todo',
'sphinx.ext.coverage',
'sphinx.ext.mathjax',
'sphinx.ext.ifconfig',
'sphinx.ext.viewcode',
'sphinx.ext.githubpages'
]
# Add any paths that contain templates here, relative to this directory.
templates_path = ['_templates']
# The suffix(es) of source filenames.
# You can specify multiple suffix as a list of string:
#
# source_suffix = ['.rst', '.md']
source_suffix = '.rst'
# The master toctree document.
master_doc = 'index'
# General information about the project.
project = u'cglm'
copyright = u'2017, Recep Aslantas'
author = u'Recep Aslantas'
# The version info for the project you're documenting, acts as replacement for
# |version| and |release|, also used in various other places throughout the
# built documents.
#
# The short X.Y version.
version = u'0.9.6'
# The full version, including alpha/beta/rc tags.
release = u'0.9.6'
# The language for content autogenerated by Sphinx. Refer to documentation
# for a list of supported languages.
#
# This is also used if you do content translation via gettext catalogs.
# Usually you set "language" from the command line for these cases.
language = 'en'
# List of patterns, relative to source directory, that match files and
# directories to ignore when looking for source files.
# This patterns also effect to html_static_path and html_extra_path
exclude_patterns = []
# The name of the Pygments (syntax highlighting) style to use.
pygments_style = 'sphinx'
# If true, `todo` and `todoList` produce output, else they produce nothing.
todo_include_todos = False
# -- Options for HTML output ----------------------------------------------
# The theme to use for HTML and HTML Help pages. See the documentation for
# a list of builtin themes.
#
html_theme = 'sphinx_rtd_theme'
pygments_style = 'monokai'
# Theme options are theme-specific and customize the look and feel of a theme
# further. For a list of options available for each theme, see the
# documentation.
#
# html_theme_options = {}
html_theme_options = {
# 'github_banner': 'true',
# 'github_button': 'true',
# 'github_user': 'recp',
# 'github_repo': 'cglm',
# 'travis_button': 'true',
# 'show_related': 'true',
# 'fixed_sidebar': 'true'
}
# Add any paths that contain custom static files (such as style sheets) here,
# relative to this directory. They are copied after the builtin static files,
# so a file named "default.css" will overwrite the builtin "default.css".
html_static_path = ['sphinx-static']
# Add customm CSS and JS files
html_css_files = ['theme_overrides.css']
html_js_files = []
# -- Options for HTMLHelp output ------------------------------------------
# Output file base name for HTML help builder.
htmlhelp_basename = 'cglmdoc'
# -- Options for LaTeX output ---------------------------------------------
latex_elements = {
# The paper size ('letterpaper' or 'a4paper').
#
# 'papersize': 'letterpaper',
# The font size ('10pt', '11pt' or '12pt').
#
# 'pointsize': '10pt',
# Additional stuff for the LaTeX preamble.
#
# 'preamble': '',
# Latex figure (float) alignment
#
# 'figure_align': 'htbp',
}
# Grouping the document tree into LaTeX files. List of tuples
# (source start file, target name, title,
# author, documentclass [howto, manual, or own class]).
latex_documents = [
(master_doc, 'cglm.tex', u'cglm Documentation',
u'Recep Aslantas', 'manual'),
]
# -- Options for manual page output ---------------------------------------
# One entry per manual page. List of tuples
# (source start file, name, description, authors, manual section).
man_pages = [
(master_doc, 'cglm', u'cglm Documentation',
[author], 1)
]
# -- Options for Texinfo output -------------------------------------------
# Grouping the document tree into Texinfo files. List of tuples
# (source start file, target name, title, author,
# dir menu entry, description, category)
texinfo_documents = [
(master_doc, 'cglm', u'cglm Documentation',
author, 'cglm', 'One line description of project.',
'Miscellaneous'),
]
# -- Options for Epub output -------------------------------------------------
# Bibliographic Dublin Core info.
epub_title = project
epub_author = author
epub_publisher = author
epub_copyright = copyright
# The unique identifier of the text. This can be a ISBN number
# or the project homepage.
#
# epub_identifier = ''
# A unique identification for the text.
#
# epub_uid = ''
# A list of files that should not be packed into the epub file.
epub_exclude_files = ['search.html']
# -- Extension configuration -------------------------------------------------
# -- Options for todo extension ----------------------------------------------
# If true, `todo` and `todoList` produce output, else they produce nothing.
todo_include_todos = True
# -- Options for the C domain ------------------------------------------------
c_id_attributes = ['__restrict']
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.. default-domain:: C
Curve
================================================================================
Header: cglm/curve.h
Common helpers for common curves. For specific curve see its header/doc
e.g bezier
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_smc`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: float glm_smc(float s, mat4 m, vec4 c)
| helper function to calculate **S** * **M** * **C** multiplication for curves
| this function does not encourage you to use SMC, instead it is a helper if you use SMC.
| if you want to specify S as vector then use more generic glm_mat4_rmc() func.
| Example usage:
.. code-block:: c
Bs = glm_smc(s, GLM_BEZIER_MAT, (vec4){p0, c0, c1, p1})
Parameters:
| *[in]* **s** parameter between 0 and 1 (this will be [s3, s2, s, 1])
| *[in]* **m** basis matrix
| *[out]* **c** position/control vector
Returns:
scalar value e.g. Bs
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.. default-domain:: C
euler angles
============
Header: cglm/euler.h
You may wonder what **glm_euler_sq** type ( **_sq** stands for sequence ) and
:c:func:`glm_euler_by_order` do.
I used them to convert euler angles in one coordinate system to another. For
instance if you have **Z_UP** euler angles and if you want to convert it
to **Y_UP** axis then :c:func:`glm_euler_by_order` is your friend. For more
information check :c:func:`glm_euler_order` documentation
You must pass arrays as array, if you use C compiler then you can use something
like this:
.. code-block:: c
float pitch, yaw, roll;
mat4 rot;
/* pitch = ...; yaw = ...; roll = ... */
glm_euler((vec3){pitch, yaw, roll}, rot);
Rotation Conveniention
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Current *cglm*'s euler functions uses these convention:
* TaitBryan angles (x-y-z convention)
* Intrinsic rotations (pitch, yaw and roll).
This is reserve order of extrinsic (elevation, heading and bank) rotation
* Right hand rule (actually all rotations in *cglm* use **RH**)
* All angles used in *cglm* are **RADIANS** not degrees
**NOTE**: The default :c:func:`glm_euler` function is the short name of
:c:func:`glm_euler_xyz` this is why you can't see :c:func:`glm_euler_xyz`.
When you see an euler function which doesn't have any X, Y, Z suffix then
assume that uses **_xyz** (or instead it accept order as parameter).
If rotation doesn't work properly, your options:
1. If you use (or paste) degrees convert it to radians before calling an euler function
.. code-block:: c
float pitch, yaw, roll;
mat4 rot;
/* pitch = degrees; yaw = degrees; roll = degrees */
glm_euler((vec3){glm_rad(pitch), glm_rad(yaw), glm_rad(roll)}, rot);
2. Convention mismatch. You may have extrinsic angles,
if you do (if you must) then consider to use reverse order e.g if you have
**xyz** extrinsic then use **zyx**
3. *cglm* may implemented it wrong, consider to create an issue to report it
or pull request to fix it
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Types:
1. glm_euler_sq
Functions:
1. :c:func:`glm_euler_order`
#. :c:func:`glm_euler_angles`
#. :c:func:`glm_euler`
#. :c:func:`glm_euler_xyz`
#. :c:func:`glm_euler_zyx`
#. :c:func:`glm_euler_zxy`
#. :c:func:`glm_euler_xzy`
#. :c:func:`glm_euler_yzx`
#. :c:func:`glm_euler_yxz`
#. :c:func:`glm_euler_by_order`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: glm_euler_sq glm_euler_order(int ord[3])
| packs euler angles order to glm_euler_sq enum.
To use :c:func:`glm_euler_by_order` function you need *glm_euler_sq*. You
can get it with this function.
You can build param like this:
| X = 0, Y = 1, Z = 2
if you have ZYX order then you pass this: [2, 1, 0] = ZYX.
if you have YXZ order then you pass this: [1, 0, 2] = YXZ
As you can see first item specifies which axis will be first then the
second one specifies which one will be next an so on.
Parameters:
| *[in]* **ord** euler angles order [Angle1, Angle2, Angle2]
Returns:
packed euler order
.. c:function:: void glm_euler_angles(mat4 m, vec3 dest)
| extract euler angles (in radians) using xyz order
Parameters:
| *[in]* **m** affine transform
| *[out]* **dest** angles vector [x, y, z]
.. c:function:: void glm_euler(vec3 angles, mat4 dest)
| build rotation matrix from euler angles
this is alias of glm_euler_xyz function
Parameters:
| *[in]* **angles** angles as vector [Xangle, Yangle, Zangle]
| *[in]* **dest** rotation matrix
.. c:function:: void glm_euler_xyz(vec3 angles, mat4 dest)
| build rotation matrix from euler angles
Parameters:
| *[in]* **angles** angles as vector [Xangle, Yangle, Zangle]
| *[in]* **dest** rotation matrix
.. c:function:: void glm_euler_zyx(vec3 angles, mat4 dest)
| build rotation matrix from euler angles
Parameters:
| *[in]* **angles** angles as vector [Xangle, Yangle, Zangle]
| *[in]* **dest** rotation matrix
.. c:function:: void glm_euler_zxy(vec3 angles, mat4 dest)
| build rotation matrix from euler angles
Parameters:
| *[in]* **angles** angles as vector [Xangle, Yangle, Zangle]
| *[in]* **dest** rotation matrix
.. c:function:: void glm_euler_xzy(vec3 angles, mat4 dest)
| build rotation matrix from euler angles
Parameters:
| *[in]* **angles** angles as vector [Xangle, Yangle, Zangle]
| *[in]* **dest** rotation matrix
.. c:function:: void glm_euler_yzx(vec3 angles, mat4 dest)
build rotation matrix from euler angles
Parameters:
| *[in]* **angles** angles as vector [Xangle, Yangle, Zangle]
| *[in]* **dest** rotation matrix
.. c:function:: void glm_euler_yxz(vec3 angles, mat4 dest)
| build rotation matrix from euler angles
Parameters:
| *[in]* **angles** angles as vector [Xangle, Yangle, Zangle]
| *[in]* **dest** rotation matrix
.. c:function:: void glm_euler_by_order(vec3 angles, glm_euler_sq ord, mat4 dest)
| build rotation matrix from euler angles with given euler order.
Use :c:func:`glm_euler_order` function to build *ord* parameter
Parameters:
| *[in]* **angles** angles as vector [Xangle, Yangle, Zangle]
| *[in]* **ord** euler order
| *[in]* **dest** rotation matrix
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Features
================================================================================
* **scalar** and **simd** (sse, avx, neon, wasm...) optimizations
* option to use different clipspaces e.g. Left Handed, Zero-to-One... (currently right handed negative-one is default)
* array api and struct api, you can use arrays or structs.
* general purpose matrix operations (mat4, mat3)
* chain matrix multiplication (square only)
* general purpose vector operations (cross, dot, rotate, proj, angle...)
* affine transformations
* matrix decomposition (extract rotation, scaling factor)
* optimized affine transform matrices (mul, rigid-body inverse)
* camera (lookat)
* projections (ortho, perspective)
* quaternions
* euler angles / yaw-pitch-roll to matrix
* extract euler angles
* inline or pre-compiled function call
* frustum (extract view frustum planes, corners...)
* bounding box (AABB in Frustum (culling), crop, merge...)
* 2d bounding box (crop, merge...)
* bounding sphere
* project, unproject
* easing functions
* curves
* curve interpolation helpers (SMC, deCasteljau...)
* helpers to convert cglm types to Apple's simd library to pass cglm types to Metal GL without packing them on both sides
* ray intersection helpers
* and others...
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.. default-domain:: C
frustum
=============
Header: cglm/frustum.h
cglm provides convenient functions to extract frustum planes, corners...
All extracted corners are **vec4** so you must create array of **vec4**
not **vec3**. If you want to store them to save space you msut convert them
yourself.
**vec4** is used to speed up functions need to corners. This is why frustum
functions use *vec4* instead of *vec3*
Currently related-functions use [-1, 1] clip space configuration to extract
corners but you can override it by prodiving **GLM_CUSTOM_CLIPSPACE** macro.
If you provide it then you have to all bottom macros as *vec4*
Current configuration:
.. code-block:: c
/* near */
GLM_CSCOORD_LBN {-1.0f, -1.0f, -1.0f, 1.0f}
GLM_CSCOORD_LTN {-1.0f, 1.0f, -1.0f, 1.0f}
GLM_CSCOORD_RTN { 1.0f, 1.0f, -1.0f, 1.0f}
GLM_CSCOORD_RBN { 1.0f, -1.0f, -1.0f, 1.0f}
/* far */
GLM_CSCOORD_LBF {-1.0f, -1.0f, 1.0f, 1.0f}
GLM_CSCOORD_LTF {-1.0f, 1.0f, 1.0f, 1.0f}
GLM_CSCOORD_RTF { 1.0f, 1.0f, 1.0f, 1.0f}
GLM_CSCOORD_RBF { 1.0f, -1.0f, 1.0f, 1.0f}
Explain of short names:
* **LBN**: left bottom near
* **LTN**: left top near
* **RTN**: right top near
* **RBN**: right bottom near
* **LBF**: left bottom far
* **LTF**: left top far
* **RTF**: right top far
* **RBF**: right bottom far
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
.. code-block:: c
GLM_LBN 0 /* left bottom near */
GLM_LTN 1 /* left top near */
GLM_RTN 2 /* right top near */
GLM_RBN 3 /* right bottom near */
GLM_LBF 4 /* left bottom far */
GLM_LTF 5 /* left top far */
GLM_RTF 6 /* right top far */
GLM_RBF 7 /* right bottom far */
GLM_LEFT 0
GLM_RIGHT 1
GLM_BOTTOM 2
GLM_TOP 3
GLM_NEAR 4
GLM_FAR 5
Functions:
1. :c:func:`glm_frustum_planes`
#. :c:func:`glm_frustum_corners`
#. :c:func:`glm_frustum_center`
#. :c:func:`glm_frustum_box`
#. :c:func:`glm_frustum_corners_at`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_frustum_planes(mat4 m, vec4 dest[6])
| extracts view frustum planes
planes' space:
- if m = proj: View Space
- if m = viewProj: World Space
- if m = MVP: Object Space
You probably want to extract planes in world space so use viewProj as m
Computing viewProj:
.. code-block:: c
glm_mat4_mul(proj, view, viewProj);
Exracted planes order: [left, right, bottom, top, near, far]
Parameters:
| *[in]* **m** matrix
| *[out]* **dest** exracted view frustum planes
.. c:function:: void glm_frustum_corners(mat4 invMat, vec4 dest[8])
| extracts view frustum corners using clip-space coordinates
corners' space:
- if m = invViewProj: World Space
- if m = invMVP: Object Space
You probably want to extract corners in world space so use **invViewProj**
Computing invViewProj:
.. code-block:: c
glm_mat4_mul(proj, view, viewProj);
...
glm_mat4_inv(viewProj, invViewProj);
if you have a near coord at **i** index,
you can get it's far coord by i + 4;
follow example below to understand that
For instance to find center coordinates between a near and its far coord:
.. code-block:: c
for (j = 0; j < 4; j++) {
glm_vec3_center(corners[i], corners[i + 4], centerCorners[i]);
}
corners[i + 4] is far of corners[i] point.
Parameters:
| *[in]* **invMat** matrix
| *[out]* **dest** exracted view frustum corners
.. c:function:: void glm_frustum_center(vec4 corners[8], vec4 dest)
| finds center of view frustum
Parameters:
| *[in]* **corners** view frustum corners
| *[out]* **dest** view frustum center
.. c:function:: void glm_frustum_box(vec4 corners[8], mat4 m, vec3 box[2])
| finds bounding box of frustum relative to given matrix e.g. view mat
Parameters:
| *[in]* **corners** view frustum corners
| *[in]* **m** matrix to convert existing conners
| *[out]* **box** bounding box as array [min, max]
.. c:function:: void glm_frustum_corners_at(vec4 corners[8], float splitDist, float farDist, vec4 planeCorners[4])
| finds planes corners which is between near and far planes (parallel)
this will be helpful if you want to split a frustum e.g. CSM/PSSM. This will
find planes' corners but you will need to one more plane.
Actually you have it, it is near, far or created previously with this func ;)
Parameters:
| *[in]* **corners** frustum corners
| *[in]* **splitDist** split distance
| *[in]* **farDist** far distance (zFar)
| *[out]* **planeCorners** plane corners [LB, LT, RT, RB]
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Getting Started
================================
Types:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
**cglm** uses **glm** prefix for all functions e.g. glm_lookat. You can see supported types in common header file:
.. code-block:: c
:linenos:
typedef float vec2[2];
typedef float vec3[3];
typedef int ivec3[3];
typedef CGLM_ALIGN_IF(16) float vec4[4];
typedef vec4 versor;
typedef vec3 mat3[3];
#ifdef __AVX__
typedef CGLM_ALIGN_IF(32) vec4 mat4[4];
#else
typedef CGLM_ALIGN_IF(16) vec4 mat4[4];
#endif
As you can see types don't store extra information in favor of space.
You can send these values e.g. matrix to OpenGL directly without casting or calling a function like *value_ptr*
Alignment Is Required:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
**vec4** and **mat4** requires 16 (32 for **mat4** if AVX is enabled) byte alignment because **vec4** and **mat4** operations are vectorized by SIMD instructions (SSE/AVX/NEON).
**UPDATE:**
By starting v0.4.5 cglm provides an option to disable alignment requirement, it is enabled as default
| Check :doc:`opt` page for more details
Also alignment is disabled for older msvc versions as default. Now alignment is only required in Visual Studio 2017 version 15.6+ if CGLM_ALL_UNALIGNED macro is not defined.
Allocations:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*cglm* doesn't alloc any memory on heap. So it doesn't provide any allocator.
You must allocate memory yourself. You should alloc memory for out parameters too if you pass pointer of memory location. When allocating memory, don't forget that **vec4** and **mat4** require alignment.
.. note:: Unaligned **vec4** and unaligned **mat4** operations will be supported in the future. Check todo list.
Because you may want to multiply a CGLM matrix with external matrix.
There is no guarantee that non-CGLM matrix is aligned. Unaligned types will have *u* prefix e.g. **umat4**
Array vs Struct:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*cglm* uses arrays for vector and matrix types. So you can't access individual
elements like vec.x, vec.y, vec.z... You must use subscript to access vector elements
e.g. vec[0], vec[1], vec[2].
Also I think it is more meaningful to access matrix elements with subscript
e.g **matrix[2][3]** instead of **matrix._23**. Since matrix is array of vectors,
vectors are also defined as array. This makes types homogeneous.
**Return arrays?**
Since C doesn't support return arrays, cglm also doesn't support this feature.
Function design:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. image:: cglm-intro.png
:width: 492px
:height: 297px
:align: center
cglm provides a few way to call a function to do same operation.
* Inline - *glm_, glm_u*
* Pre-compiled - *glmc_, glmc_u*
For instance **glm_mat4_mul** is inline (all *glm_* functions are inline), to make it non-inline (pre-compiled),
call it as **glmc_mat4_mul** from library, to use unaligned version use **glm_umat4_mul** (todo).
Most functions have **dest** parameter for output. For instance mat4_mul func looks like this:
.. code-block:: c
CGLM_INLINE
void
glm_mat4_mul(mat4 m1, mat4 m2, mat4 dest)
The dest parameter is out parameter. Result will be stored in **dest**.
Also in this case matrix multiplication order is dest = m1 * m2.
* Changing parameter order will change the multiplication order.
* You can pass all parameter same (this is similar to m1 `*=` m1), you can pass **dest** as m1 or m2 (this is similar to m1 `*=` m2)
**v** postfix in function names
-------------------------------
You may see **v** postfix in some function names, v stands for vector.
For instance consider a function that accepts three parameters x, y, z.
This function may be overloaded by **v** postfix to accept vector (vec3) instead of separate parameters.
In some places the v means that it will be apply to a vector.
**_to** postfix in function names
---------------------------------
*_to* version of function will store the result in specified parameter instead of in-out parameter.
Some functions don't have _to prefix but they still behave like this e.g. glm_mat4_mul.
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.. cglm documentation master file, created by
sphinx-quickstart on Tue Jun 6 20:31:05 2017.
You can adapt this file completely to your liking, but it should at least
contain the root `toctree` directive.
cglm Documentation
================================
**cglm** is an optimized 3D math library written in C99 (compatible with C89).
It is similar to the original **glm** library, except **cglm** is mainly for
**C**.
**cglm** stores matrices as column-major order but in the future row-major is
considered to be supported as optional.
.. toctree::
:maxdepth: 2
:caption: Getting Started:
features
build
getting_started
.. toctree::
:maxdepth: 2
:caption: How To:
opengl
.. toctree::
:maxdepth: 3
:caption: API:
api
.. toctree::
:maxdepth: 2
:caption: Options:
opt
.. toctree::
:maxdepth: 2
:caption: Troubleshooting:
troubleshooting
Indices and Tables:
===================
* :ref:`genindex`
* :ref:`modindex`
* :ref:`search`
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.. default-domain:: C
io (input / output e.g. print)
================================================================================
Header: cglm/io.h
There are some built-in print functions which may save your time,
especially for debugging.
All functions accept **FILE** parameter which makes very flexible.
You can even print it to file on disk.
In general you will want to print them to console to see results.
You can use **stdout** and **stderr** to write results to console.
Some programs may occupy **stdout** but you can still use **stderr**.
Using **stderr** is suggested.
Example to print mat4 matrix:
.. code-block:: c
mat4 transform;
/* ... */
glm_mat4_print(transform, stderr);
.. note:: print functions use **%0.4f** precision if you need more
(you probably will in some cases), you can change it temporary.
cglm may provide precision parameter in the future.
Changes since **v0.7.3**:
* Now mis-alignment of columns are fixed: larger numbers are printed via %g and others are printed via %f. Column widths are calculated before print.
* Now values are colorful ;)
* Some print improvements
* New options with default values:
.. code-block:: c
#define CGLM_PRINT_PRECISION 5
#define CGLM_PRINT_MAX_TO_SHORT 1e5
#define CGLM_PRINT_COLOR "\033[36m"
#define CGLM_PRINT_COLOR_RESET "\033[0m"
* Inline prints are only enabled in DEBUG mode and if **CGLM_DEFINE_PRINTS** is defined.
Check options page.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_mat4_print`
#. :c:func:`glm_mat3_print`
#. :c:func:`glm_vec4_print`
#. :c:func:`glm_ivec4_print`
#. :c:func:`glm_vec3_print`
#. :c:func:`glm_ivec3_print`
#. :c:func:`glm_vec2_print`
#. :c:func:`glm_ivec2_print`
#. :c:func:`glm_versor_print`
#. :c:func:`glm_aabb_print`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat4_print(mat4 matrix, FILE * __restrict ostream)
| print matrix to given stream
Parameters:
| *[in]* **matrix** matrix
| *[in]* **ostream** FILE to write
.. c:function:: void glm_mat3_print(mat3 matrix, FILE * __restrict ostream)
| print matrix to given stream
Parameters:
| *[in]* **matrix** matrix
| *[in]* **ostream** FILE to write
.. c:function:: void glm_vec4_print(vec4 vec, FILE * __restrict ostream)
| print vector to given stream
Parameters:
| *[in]* **vec** vector
| *[in]* **ostream** FILE to write
.. c:function:: void glm_ivec4_print(ivec4 vec, FILE * __restrict ostream)
| print vector to given stream
Parameters:
| *[in]* **vec** vector
| *[in]* **ostream** FILE to write
.. c:function:: void glm_vec3_print(vec3 vec, FILE * __restrict ostream)
| print vector to given stream
Parameters:
| *[in]* **vec** vector
| *[in]* **ostream** FILE to write
.. c:function:: void glm_ivec3_print(ivec3 vec, FILE * __restrict ostream)
| print vector to given stream
Parameters:
| *[in]* **vec** vector
| *[in]* **ostream** FILE to write
.. c:function:: void glm_vec2_print(vec2 vec, FILE * __restrict ostream)
| print vector to given stream
Parameters:
| *[in]* **vec** vector
| *[in]* **ostream** FILE to write
.. c:function:: void glm_ivec2_print(ivec2 vec, FILE * __restrict ostream)
| print vector to given stream
Parameters:
| *[in]* **vec** vector
| *[in]* **ostream** FILE to write
.. c:function:: void glm_versor_print(versor vec, FILE * __restrict ostream)
| print quaternion to given stream
Parameters:
| *[in]* **vec** quaternion
| *[in]* **ostream** FILE to write
.. c:function:: void glm_aabb_print(versor vec, const char * __restrict tag, FILE * __restrict ostream)
| print aabb to given stream
Parameters:
| *[in]* **vec** aabb (axis-aligned bounding box)
| *[in]* **tag** tag to find it more easily in logs
| *[in]* **ostream** FILE to write
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.. default-domain:: C
ivec2
=====
Header: cglm/ivec2.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_IVEC2_ONE_INIT
#. GLM_IVEC2_ZERO_INIT
#. GLM_IVEC2_ONE
#. GLM_IVEC2_ZERO
Functions:
1. :c:func:`glm_ivec2`
#. :c:func:`glm_ivec2_copy`
#. :c:func:`glm_ivec2_zero`
#. :c:func:`glm_ivec2_one`
#. :c:func:`glm_ivec2_dot`
#. :c:func:`glm_ivec2_cross`
#. :c:func:`glm_ivec2_add`
#. :c:func:`glm_ivec2_adds`
#. :c:func:`glm_ivec2_sub`
#. :c:func:`glm_ivec2_subs`
#. :c:func:`glm_ivec2_mul`
#. :c:func:`glm_ivec2_scale`
#. :c:func:`glm_ivec2_div`
#. :c:func:`glm_ivec2_divs`
#. :c:func:`glm_ivec2_mod`
#. :c:func:`glm_ivec2_distance2`
#. :c:func:`glm_ivec2_distance`
#. :c:func:`glm_ivec2_maxv`
#. :c:func:`glm_ivec2_minv`
#. :c:func:`glm_ivec2_clamp`
#. :c:func:`glm_ivec2_abs`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_ivec2(int * v, ivec2 dest)
init ivec2 using vec3 or vec4
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec2_copy(ivec2 a, ivec2 dest)
copy all members of [a] to [dest]
Parameters:
| *[in]* **a** source vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec2_zero(ivec2 v)
set all members of [v] to zero
Parameters:
| *[out]* **v** vector
.. c:function:: void glm_ivec2_one(ivec2 v)
set all members of [v] to one
Parameters:
| *[out]* **v** vector
.. c:function:: int glm_ivec2_dot(ivec2 a, ivec2 b)
dot product of ivec2
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
Returns:
dot product
.. c:function:: int glm_ivec2_cross(ivec2 a, ivec2 b)
cross product of two vector (RH)
| ref: http://allenchou.net/2013/07/cross-product-of-2d-vectors/
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
Returns:
Z component of cross product
.. c:function:: void glm_ivec2_add(ivec2 a, ivec2 b, ivec2 dest)
add vector [a] to vector [b] and store result in [dest]
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec2_adds(ivec2 v, int s, ivec2 dest)
add scalar s to vector [v] and store result in [dest]
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination
.. c:function:: void glm_ivec2_sub(ivec2 a, ivec2 b, ivec2 dest)
subtract vector [b] from vector [a] and store result in [dest]
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec2_subs(ivec2 v, int s, ivec2 dest)
subtract scalar s from vector [v] and store result in [dest]
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination
.. c:function:: void glm_ivec2_mul(ivec2 a, ivec2 b, ivec2 dest)
multiply vector [a] with vector [b] and store result in [dest]
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec2_scale(ivec2 v, int s, ivec2 dest)
multiply vector [a] with scalar s and store result in [dest]
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination
.. c:function:: void glm_ivec2_div(ivec2 a, ivec2 b, ivec2 dest)
div vector with another component-wise division: d = a / b
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** result = (a[0] / b[0], a[1] / b[1], a[2] / b[2])
.. c:function:: void glm_ivec2_divs(ivec2 v, int s, ivec2 dest)
div vector with scalar: d = v / s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** result = (a[0] / s, a[1] / s, a[2] / s)
.. c:function:: void glm_ivec2_mod(ivec2 a, ivec2 b, ivec2 dest)
mod vector with another component-wise modulo: d = a % b
Parameters:
| *[in]* **a** vector
| *[in]* **b** scalar
| *[out]* **dest** result = (a[0] % b[0], a[1] % b[1])
.. c:function:: int glm_ivec2_distance2(ivec2 a, ivec2 b)
squared distance between two vectors
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
Returns:
squared distance (distance * distance)
.. c:function:: float glm_ivec2_distance(ivec2 a, ivec2 b)
distance between two vectors
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
Returns:
distance
.. c:function:: void glm_ivec2_fill(ivec2 v, int val)
fill a vector with specified value
Parameters:
| *[out]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_ivec2_eq(ivec2 v, int val)
check if vector is equal to value
Parameters:
| *[in]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_ivec2_eqv(ivec2 v1, ivec2 v2)
check if vector is equal to another vector
Parameters:
| *[in]* **vec** vector 1
| *[in]* **vec** vector 2
.. c:function:: void glm_ivec2_maxv(ivec2 a, ivec2 b, ivec2 dest)
set each member of dest to greater of vector a and b
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec2_minv(ivec2 a, ivec2 b, ivec2 dest)
set each member of dest to lesser of vector a and b
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec2_clamp(ivec2 v, int minVal, int maxVal)
clamp each member of [v] between minVal and maxVal (inclusive)
Parameters:
| *[in, out]* **v** vector
| *[in]* **minVal** minimum value
| *[in]* **maxVal** maximum value
.. c:function:: void glm_ivec2_abs(ivec2 v, ivec2 dest)
absolute value of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector
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.. default-domain:: C
ivec3
=====
Header: cglm/ivec3.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_IVEC3_ONE_INIT
#. GLM_IVEC3_ZERO_INIT
#. GLM_IVEC3_ONE
#. GLM_IVEC3_ZERO
Functions:
1. :c:func:`glm_ivec3`
#. :c:func:`glm_ivec3_copy`
#. :c:func:`glm_ivec3_zero`
#. :c:func:`glm_ivec3_one`
#. :c:func:`glm_ivec3_dot`
#. :c:func:`glm_ivec3_norm2`
#. :c:func:`glm_ivec3_norm`
#. :c:func:`glm_ivec3_add`
#. :c:func:`glm_ivec3_adds`
#. :c:func:`glm_ivec3_sub`
#. :c:func:`glm_ivec3_subs`
#. :c:func:`glm_ivec3_mul`
#. :c:func:`glm_ivec3_scale`
#. :c:func:`glm_ivec3_div`
#. :c:func:`glm_ivec3_divs`
#. :c:func:`glm_ivec3_mod`
#. :c:func:`glm_ivec3_distance2`
#. :c:func:`glm_ivec3_distance`
#. :c:func:`glm_ivec3_fill`
#. :c:func:`glm_ivec3_eq`
#. :c:func:`glm_ivec3_eqv`
#. :c:func:`glm_ivec3_maxv`
#. :c:func:`glm_ivec3_minv`
#. :c:func:`glm_ivec3_clamp`
#. :c:func:`glm_ivec2_abs`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_ivec3(ivec4 v4, ivec3 dest)
init ivec3 using ivec4
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec3_copy(ivec3 a, ivec3 dest)
copy all members of [a] to [dest]
Parameters:
| *[in]* **a** source vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec3_zero(ivec3 v)
set all members of [v] to zero
Parameters:
| *[out]* **v** vector
.. c:function:: void glm_ivec3_one(ivec3 v)
set all members of [v] to one
Parameters:
| *[out]* **v** vector
.. c:function:: int glm_ivec3_dot(ivec3 a, ivec3 b)
dot product of ivec3
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
Returns:
dot product
.. c:function:: int glm_ivec3_norm2(ivec3 v)
norm * norm (magnitude) of vector
we can use this func instead of calling norm * norm, because it would call
sqrtf function twice but with this func we can avoid func call, maybe this is
not good name for this func
Parameters:
| *[in]* **v** vector
Returns:
square of norm / magnitude, cast to an integer
.. c:function:: int glm_ivec3_norm(ivec3 vec)
| euclidean norm (magnitude), also called L2 norm
| this will give magnitude of vector in euclidean space
Parameters:
| *[in]* **vec** vector
.. c:function:: void glm_ivec3_add(ivec3 a, ivec3 b, ivec3 dest)
add vector [a] to vector [b] and store result in [dest]
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec3_adds(ivec3 v, int s, ivec3 dest)
add scalar s to vector [v] and store result in [dest]
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination
.. c:function:: void glm_ivec3_sub(ivec3 a, ivec3 b, ivec3 dest)
subtract vector [b] from vector [a] and store result in [dest]
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec3_subs(ivec3 v, int s, ivec3 dest)
subtract scalar s from vector [v] and store result in [dest]
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination
.. c:function:: void glm_ivec3_mul(ivec3 a, ivec3 b, ivec3 dest)
multiply vector [a] with vector [b] and store result in [dest]
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec3_scale(ivec3 v, int s, ivec3 dest)
multiply vector [a] with scalar s and store result in [dest]
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination
.. c:function:: void glm_ivec3_div(ivec3 a, ivec3 b, ivec3 dest)
div vector with another component-wise division: d = a / b
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** result = (a[0] / b[0], a[1] / b[1], a[2] / b[2])
.. c:function:: void glm_ivec3_divs(ivec3 v, int s, ivec3 dest)
div vector with scalar: d = v / s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** result = (a[0] / s, a[1] / s, a[2] / s)
.. c:function:: void glm_ivec3_mod(ivec3 a, ivec3 b, ivec3 dest)
mod vector with another component-wise modulo: d = a % b
Parameters:
| *[in]* **a** vector
| *[in]* **b** scalar
| *[out]* **dest** result = (a[0] % b[0], a[1] % b[1], a[2] % b[2])
.. c:function:: int glm_ivec3_distance2(ivec3 a, ivec3 b)
squared distance between two vectors
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
Returns:
squared distance (distance * distance)
.. c:function:: float glm_ivec3_distance(ivec3 a, ivec3 b)
distance between two vectors
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
Returns:
distance
.. c:function:: void glm_ivec3_fill(ivec3 v, int val)
fill a vector with specified value
Parameters:
| *[out]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_ivec3_eq(ivec3 v, int val)
check if vector is equal to value
Parameters:
| *[in]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_ivec3_eqv(ivec3 v1, ivec3 v2)
check if vector is equal to another vector
Parameters:
| *[in]* **vec** vector 1
| *[in]* **vec** vector 2
.. c:function:: void glm_ivec3_maxv(ivec3 a, ivec3 b, ivec3 dest)
set each member of dest to greater of vector a and b
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec3_minv(ivec3 a, ivec3 b, ivec3 dest)
set each member of dest to lesser of vector a and b
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec3_clamp(ivec3 v, int minVal, int maxVal)
clamp each member of [v] between minVal and maxVal (inclusive)
Parameters:
| *[in, out]* **v** vector
| *[in]* **minVal** minimum value
| *[in]* **maxVal** maximum value
.. c:function:: void glm_ivec3_abs(ivec3 v, ivec3 dest)
absolute value of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector
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.. default-domain:: C
ivec4
=====
Header: cglm/ivec4.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_IVEC4_ONE_INIT
#. GLM_IVEC4_ZERO_INIT
#. GLM_IVEC4_ONE
#. GLM_IVEC4_ZERO
Functions:
1. :c:func:`glm_ivec4`
#. :c:func:`glm_ivec4_copy`
#. :c:func:`glm_ivec4_zero`
#. :c:func:`glm_ivec4_one`
#. :c:func:`glm_ivec4_add`
#. :c:func:`glm_ivec4_adds`
#. :c:func:`glm_ivec4_sub`
#. :c:func:`glm_ivec4_subs`
#. :c:func:`glm_ivec4_mul`
#. :c:func:`glm_ivec4_scale`
#. :c:func:`glm_ivec4_distance2`
#. :c:func:`glm_ivec4_distance`
#. :c:func:`glm_ivec4_maxv`
#. :c:func:`glm_ivec4_minv`
#. :c:func:`glm_ivec4_clamp`
#. :c:func:`glm_ivec4_abs`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_ivec4(ivec3 v3, int last, ivec4 dest)
init ivec4 using ivec3
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec4_copy(ivec4 a, ivec4 dest)
copy all members of [a] to [dest]
Parameters:
| *[in]* **a** source vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec4_zero(ivec4 v)
set all members of [v] to zero
Parameters:
| *[out]* **v** vector
.. c:function:: void glm_ivec4_one(ivec4 v)
set all members of [v] to one
Parameters:
| *[out]* **v** vector
.. c:function:: void glm_ivec4_add(ivec4 a, ivec4 b, ivec4 dest)
add vector [a] to vector [b] and store result in [dest]
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec4_adds(ivec4 v, int s, ivec4 dest)
add scalar s to vector [v] and store result in [dest]
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination
.. c:function:: void glm_ivec4_sub(ivec4 a, ivec4 b, ivec4 dest)
subtract vector [b] from vector [a] and store result in [dest]
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec4_subs(ivec4 v, int s, ivec4 dest)
subtract scalar s from vector [v] and store result in [dest]
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination
.. c:function:: void glm_ivec4_mul(ivec4 a, ivec4 b, ivec4 dest)
multiply vector [a] with vector [b] and store result in [dest]
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec4_scale(ivec4 v, int s, ivec4 dest)
multiply vector [a] with scalar s and store result in [dest]
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination
.. c:function:: int glm_ivec4_distance2(ivec4 a, ivec4 b)
squared distance between two vectors
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
Returns:
squared distance (distance * distance)
.. c:function:: float glm_ivec4_distance(ivec4 a, ivec4 b)
distance between two vectors
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
Returns:
distance
.. c:function:: void glm_ivec4_maxv(ivec4 a, ivec4 b, ivec4 dest)
set each member of dest to greater of vector a and b
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec4_minv(ivec4 a, ivec4 b, ivec4 dest)
set each member of dest to lesser of vector a and b
Parameters:
| *[in]* **a** first vector
| *[in]* **b** second vector
| *[out]* **dest** destination
.. c:function:: void glm_ivec4_clamp(ivec4 v, int minVal, int maxVal)
clamp each member of [v] between minVal and maxVal (inclusive)
Parameters:
| *[in, out]* **v** vector
| *[in]* **minVal** minimum value
| *[in]* **maxVal** maximum value
.. c:function:: void glm_ivec4_abs(ivec4 v, ivec4 dest)
absolute value of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector
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.. default-domain:: C
mat2
====
Header: cglm/mat2.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_mat2_IDENTITY_INIT
#. GLM_mat2_ZERO_INIT
#. GLM_mat2_IDENTITY
#. GLM_mat2_ZERO
Functions:
1. :c:func:`glm_mat2_copy`
#. :c:func:`glm_mat2_identity`
#. :c:func:`glm_mat2_identity_array`
#. :c:func:`glm_mat2_zero`
#. :c:func:`glm_mat2_mul`
#. :c:func:`glm_mat2_transpose_to`
#. :c:func:`glm_mat2_transpose`
#. :c:func:`glm_mat2_mulv`
#. :c:func:`glm_mat2_scale`
#. :c:func:`glm_mat2_det`
#. :c:func:`glm_mat2_inv`
#. :c:func:`glm_mat2_trace`
#. :c:func:`glm_mat2_swap_col`
#. :c:func:`glm_mat2_swap_row`
#. :c:func:`glm_mat2_rmc`
#. :c:func:`glm_mat2_make`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat2_copy(mat2 mat, mat2 dest)
copy mat2 to another one (dest).
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat2_identity(mat2 mat)
copy identity mat2 to mat, or makes mat to identity
Parameters:
| *[out]* **mat** matrix
.. c:function:: void glm_mat2_identity_array(mat2 * __restrict mat, size_t count)
make given matrix array's each element identity matrix
Parameters:
| *[in,out]* **mat** matrix array (must be aligned (16/32) if alignment is not disabled)
| *[in]* **count** count of matrices
.. c:function:: void glm_mat2_zero(mat2 mat)
make given matrix zero
Parameters:
| *[in,out]* **mat** matrix
.. c:function:: void glm_mat2_mul(mat2 m1, mat2 m2, mat2 dest)
multiply m1 and m2 to dest
m1, m2 and dest matrices can be same matrix, it is possible to write this:
.. code-block:: c
mat2 m = GLM_mat2_IDENTITY_INIT;
glm_mat2_mul(m, m, m);
Parameters:
| *[in]* **m1** left matrix
| *[in]* **m2** right matrix
| *[out]* **dest** destination matrix
.. c:function:: void glm_mat2_transpose_to(mat2 m, mat2 dest)
transpose mat4 and store in dest
source matrix will not be transposed unless dest is m
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat2_transpose(mat2 m)
transpose mat2 and store result in same matrix
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat2_mulv(mat2 m, vec2 v, vec2 dest)
multiply mat2 with vec2 (column vector) and store in dest vector
Parameters:
| *[in]* **mat** mat2 (left)
| *[in]* **v** vec2 (right, column vector)
| *[out]* **dest** destination (result, column vector)
.. c:function:: void glm_mat2_scale(mat2 m, float s)
multiply matrix with scalar
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar
.. c:function:: float glm_mat2_det(mat2 mat)
returns mat2 determinant
Parameters:
| *[in]* **mat** matrix
Returns:
mat2 determinant
.. c:function:: void glm_mat2_inv(mat2 mat, mat2 dest)
inverse mat2 and store in dest
Parameters:
| *[in]* **mat** matrix
| *[out]* **dest** destination (inverse matrix)
.. c:function:: void glm_mat2_trace(mat2 m)
| sum of the elements on the main diagonal from upper left to the lower right
Parameters:
| *[in]* **m** matrix
Returns:
trace of matrix
.. c:function:: void glm_mat2_swap_col(mat2 mat, int col1, int col2)
swap two matrix columns
Parameters:
| *[in, out]* **mat** matrix
| *[in]* **col1** col1
| *[in]* **col2** col2
.. c:function:: void glm_mat2_swap_row(mat2 mat, int row1, int row2)
swap two matrix rows
Parameters:
| *[in, out]* **mat** matrix
| *[in]* **row1** row1
| *[in]* **row2** row2
.. c:function:: float glm_mat2_rmc(vec2 r, mat2 m, vec2 c)
| **rmc** stands for **Row** * **Matrix** * **Column**
| helper for R (row vector) * M (matrix) * C (column vector)
| the result is scalar because R * M = Matrix1x2 (row vector),
| then Matrix1x2 * Vec2 (column vector) = Matrix1x1 (Scalar)
Parameters:
| *[in]* **r** row vector or matrix1x2
| *[in]* **m** matrix2x2
| *[in]* **c** column vector or matrix2x1
Returns:
scalar value e.g. Matrix1x1
.. c:function:: void glm_mat2_make(const float * __restrict src, mat2 dest)
Create mat2 matrix from pointer
.. note:: **@src** must contain at least 4 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination matrix2x2
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.. default-domain:: C
mat2x3
======
Header: cglm/mat2x3.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_MAT2X3_ZERO_INIT
#. GLM_MAT2X3_ZERO
Functions:
1. :c:func:`glm_mat2x3_copy`
#. :c:func:`glm_mat2x3_zero`
#. :c:func:`glm_mat2x3_make`
#. :c:func:`glm_mat2x3_mul`
#. :c:func:`glm_mat2x3_mulv`
#. :c:func:`glm_mat2x3_transpose`
#. :c:func:`glm_mat2x3_scale`
Represented
~~~~~~~~~~~
.. csv-table:: mat2x3
:header: "", "column 1", "column 2"
"row 1", "m00", "m10"
"row 2", "m01", "m11"
"row 3", "m02", "m12"
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat2x3_copy(mat2x3 mat, mat2x3 dest)
copy mat2x3 to another one (dest).
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat2x3_zero(mat2x3 mat)
make given matrix zero
Parameters:
| *[in,out]* **mat** matrix
.. c:function:: void glm_mat2x3_make(const float * __restrict src, mat2x3 dest)
Create mat2x3 matrix from pointer
.. note:: **@src** must contain at least 6 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination matrix2x3
.. c:function:: void glm_mat2x3_mul(mat2x3 m1, mat3x2 m2, mat3 dest)
multiply m1 and m2 to dest
.. code-block:: c
glm_mat2x3_mul(mat2x3, mat3x2, mat3);
Parameters:
| *[in]* **m1** left matrix (mat2x3)
| *[in]* **m2** right matrix (mat3x2)
| *[out]* **dest** destination matrix (mat3)
.. csv-table:: mat2x3
:header: "", "column 1", "column 2"
"row 1", "a00", "a10"
"row 2", "a01", "a11"
"row 3", "a02", "a12"
.. csv-table:: mat3x2
:header: "", "column 1", "column 2", "column 3"
"row 1", "b00", "b10", "b20"
"row 2", "b01", "b11", "b21"
.. csv-table:: mat3x3
:header: "", "column 1", "column 2", "column 3"
"row 1", "a00 * b00 + a10 * b01", "a00 * b10 + a10 * b11", "a00 * b20 + a10 * b21"
"row 2", "a01 * b00 + a11 * b01", "a01 * b10 + a11 * b11", "a01 * b20 + a11 * b21"
"row 3", "a02 * b00 + a12 * b01", "a02 * b10 + a12 * b11", "a02 * b20 + a12 * b21"
.. c:function:: void glm_mat2x3_mulv(mat2x3 m, vec2 v, vec3 dest)
multiply mat2x3 with vec2 (column vector) and store in dest column vector
Parameters:
| *[in]* **m** mat2x3 (left)
| *[in]* **v** vec3 (right, column vector)
| *[out]* **dest** destination (result, column vector)
.. csv-table:: mat2x3
:header: "", "column 1", "column 2"
"row 1", "m00", "m10"
"row 2", "m01", "m11"
"row 3", "m02", "m12"
.. csv-table:: column vec2 (1x2)
:header: "", "column 1"
"row 1", "v0"
"row 2", "v1"
.. csv-table:: column vec3 (1x3)
:header: "", "column 1"
"row 1", "m00 * v0 + m10 * v1"
"row 2", "m01 * v0 + m11 * v1"
"row 3", "m02 * v0 + m12 * v1"
.. c:function:: void glm_mat2x3_transpose(mat2x3 m, mat3x2 dest)
transpose matrix and store in dest
Parameters:
| *[in]* **m** matrix
| *[out]* **dest** destination
.. c:function:: void glm_mat2x3_scale(mat2x3 m, float s)
multiply matrix with scalar
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar
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.. default-domain:: C
mat2x4
======
Header: cglm/mat2x4.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_MAT2X4_ZERO_INIT
#. GLM_MAT2X4_ZERO
Functions:
1. :c:func:`glm_mat2x4_copy`
#. :c:func:`glm_mat2x4_zero`
#. :c:func:`glm_mat2x4_make`
#. :c:func:`glm_mat2x4_mul`
#. :c:func:`glm_mat2x4_mulv`
#. :c:func:`glm_mat2x4_transpose`
#. :c:func:`glm_mat2x4_scale`
Represented
~~~~~~~~~~~
.. csv-table:: mat2x4
:header: "", "column 1", "column 2"
"row 1", "m00", "m10"
"row 2", "m01", "m11"
"row 3", "m02", "m12"
"row 4", "m03", "m13"
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat2x4_copy(mat2x4 mat, mat2x4 dest)
copy mat2x4 to another one (dest).
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat2x4_zero(mat2x4 mat)
make given matrix zero
Parameters:
| *[in,out]* **mat** matrix
.. c:function:: void glm_mat2x4_make(const float * __restrict src, mat2x4 dest)
Create mat2x4 matrix from pointer
.. note:: **@src** must contain at least 8 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination matrix2x4
.. c:function:: void glm_mat2x4_mul(mat2x4 m1, mat4x2 m2, mat4 dest)
multiply m1 and m2 to dest
.. code-block:: c
glm_mat2x4_mul(mat2x4, mat4x2, mat4);
Parameters:
| *[in]* **m1** left matrix (mat2x4)
| *[in]* **m2** right matrix (mat4x2)
| *[out]* **dest** destination matrix (mat4)
.. csv-table:: mat2x4
:header: "", "column 1", "column 2"
"row 1", "a00", "a10"
"row 2", "a01", "a11"
"row 3", "a02", "a12"
"row 4", "a03", "a13"
.. csv-table:: mat4x2
:header: "", "column 1", "column 2", "column 3", "column 4"
"row 1", "b00", "b10", "b20", "b30"
"row 2", "b01", "b11", "b21", "b31"
.. csv-table:: mat4x4
:header: "", "column 1", "column 2", "column 3", "column 4"
"row 1", "a00 * b00 + a10 * b01", "a00 * b10 + a10 * b11", "a00 * b20 + a10 * b21", "a00 * b30 + a10 * b31"
"row 2", "a01 * b00 + a11 * b01", "a01 * b10 + a11 * b11", "a01 * b20 + a11 * b21", "a01 * b30 + a11 * b31"
"row 3", "a02 * b00 + a12 * b01", "a02 * b10 + a12 * b11", "a02 * b20 + a12 * b21", "a02 * b30 + a12 * b31"
"row 4", "a03 * b00 + a13 * b01", "a03 * b10 + a13 * b11", "a03 * b20 + a13 * b21", "a03 * b30 + a13 * b31"
.. c:function:: void glm_mat2x4_mulv(mat2x4 m, vec2 v, vec4 dest)
multiply mat2x4 with vec2 (column vector) and store in dest column vector
Parameters:
| *[in]* **m** mat2x4 (left)
| *[in]* **v** vec2 (right, column vector)
| *[out]* **dest** destination (result, column vector)
.. csv-table:: mat2x4
:header: "", "column 1", "column 2"
"row 1", "m00", "m10"
"row 2", "m01", "m11"
"row 3", "m02", "m12"
"row 4", "m03", "m13"
.. csv-table:: column vec2 (1x2)
:header: "", "column 1"
"row 1", "v0"
"row 2", "v1"
.. csv-table:: column vec4 (1x4)
:header: "", "column 1"
"row 1", "m00 * v0 + m10 * v1"
"row 2", "m01 * v0 + m11 * v1"
"row 3", "m02 * v0 + m12 * v1"
"row 4", "m03 * v0 + m13 * v1"
.. c:function:: void glm_mat2x4_transpose(mat2x4 m, mat4x2 dest)
transpose matrix and store in dest
Parameters:
| *[in]* **m** matrix
| *[out]* **dest** destination
.. c:function:: void glm_mat2x4_scale(mat2x4 m, float s)
multiply matrix with scalar
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar
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.. default-domain:: C
mat3
====
Header: cglm/mat3.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_MAT3_IDENTITY_INIT
#. GLM_MAT3_ZERO_INIT
#. GLM_MAT3_IDENTITY
#. GLM_MAT3_ZERO
#. glm_mat3_dup(mat, dest)
Functions:
1. :c:func:`glm_mat3_copy`
#. :c:func:`glm_mat3_identity`
#. :c:func:`glm_mat3_identity_array`
#. :c:func:`glm_mat3_zero`
#. :c:func:`glm_mat3_mul`
#. :c:func:`glm_mat3_transpose_to`
#. :c:func:`glm_mat3_transpose`
#. :c:func:`glm_mat3_mulv`
#. :c:func:`glm_mat3_quat`
#. :c:func:`glm_mat3_scale`
#. :c:func:`glm_mat3_det`
#. :c:func:`glm_mat3_inv`
#. :c:func:`glm_mat3_trace`
#. :c:func:`glm_mat3_swap_col`
#. :c:func:`glm_mat3_swap_row`
#. :c:func:`glm_mat3_rmc`
#. :c:func:`glm_mat3_make`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat3_copy(mat3 mat, mat3 dest)
copy mat3 to another one (dest).
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat3_identity(mat3 mat)
copy identity mat3 to mat, or makes mat to identity
Parameters:
| *[out]* **mat** matrix
.. c:function:: void glm_mat3_identity_array(mat3 * __restrict mat, size_t count)
make given matrix array's each element identity matrix
Parameters:
| *[in,out]* **mat** matrix array (must be aligned (16/32) if alignment is not disabled)
| *[in]* **count** count of matrices
.. c:function:: void glm_mat3_zero(mat3 mat)
make given matrix zero
Parameters:
| *[in,out]* **mat** matrix to
.. c:function:: void glm_mat3_mul(mat3 m1, mat3 m2, mat3 dest)
multiply m1 and m2 to dest
m1, m2 and dest matrices can be same matrix, it is possible to write this:
.. code-block:: c
mat3 m = GLM_MAT3_IDENTITY_INIT;
glm_mat3_mul(m, m, m);
Parameters:
| *[in]* **m1** left matrix
| *[in]* **m2** right matrix
| *[out]* **dest** destination matrix
.. c:function:: void glm_mat3_transpose_to(mat3 m, mat3 dest)
transpose mat4 and store in dest
source matrix will not be transposed unless dest is m
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat3_transpose(mat3 m)
transpose mat3 and store result in same matrix
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat3_mulv(mat3 m, vec3 v, vec3 dest)
multiply mat3 with vec3 (column vector) and store in dest vector
Parameters:
| *[in]* **m** mat3 (left)
| *[in]* **v** vec3 (right, column vector)
| *[out]* **dest** destination (result, column vector)
.. c:function:: void glm_mat3_quat(mat3 m, versor dest)
convert mat3 to quaternion
Parameters:
| *[in]* **m** rotation matrix
| *[out]* **dest** destination quaternion
.. c:function:: void glm_mat3_scale(mat3 m, float s)
multiply matrix with scalar
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar
.. c:function:: float glm_mat3_det(mat3 mat)
returns mat3 determinant
Parameters:
| *[in]* **mat** matrix
Returns:
mat3 determinant
.. c:function:: void glm_mat3_inv(mat3 mat, mat3 dest)
inverse mat3 and store in dest
Parameters:
| *[in]* **mat** matrix
| *[out]* **dest** destination (inverse matrix)
.. c:function:: void glm_mat3_trace(mat3 m)
| sum of the elements on the main diagonal from upper left to the lower right
Parameters:
| *[in]* **m** matrix
Returns:
trace of matrix
.. c:function:: void glm_mat3_swap_col(mat3 mat, int col1, int col2)
swap two matrix columns
Parameters:
| *[in, out]* **mat** matrix
| *[in]* **col1** col1
| *[in]* **col2** col2
.. c:function:: void glm_mat3_swap_row(mat3 mat, int row1, int row2)
swap two matrix rows
Parameters:
| *[in, out]* **mat** matrix
| *[in]* **row1** row1
| *[in]* **row2** row2
.. c:function:: float glm_mat3_rmc(vec3 r, mat3 m, vec3 c)
| **rmc** stands for **Row** * **Matrix** * **Column**
| helper for R (row vector) * M (matrix) * C (column vector)
| the result is scalar because R * M = Matrix1x3 (row vector),
| then Matrix1x3 * Vec3 (column vector) = Matrix1x1 (Scalar)
Parameters:
| *[in]* **r** row vector or matrix1x3
| *[in]* **m** matrix3x3
| *[in]* **c** column vector or matrix3x1
Returns:
scalar value e.g. Matrix1x1
.. c:function:: void glm_mat3_make(const float * __restrict src, mat3 dest)
Create mat3 matrix from pointer
.. note:: **@src** must contain at least 9 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination matrix3x3
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.. default-domain:: C
mat3x2
======
Header: cglm/mat3x2.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_MAT3X2_ZERO_INIT
#. GLM_MAT3X2_ZERO
Functions:
1. :c:func:`glm_mat3x2_copy`
#. :c:func:`glm_mat3x2_zero`
#. :c:func:`glm_mat3x2_make`
#. :c:func:`glm_mat3x2_mul`
#. :c:func:`glm_mat3x2_mulv`
#. :c:func:`glm_mat3x2_transpose`
#. :c:func:`glm_mat3x2_scale`
Represented
~~~~~~~~~~~
.. csv-table:: mat3x2
:header: "", "column 1", "column 2", "column 3"
"row 1", "m00", "m10", "m20"
"row 2", "m01", "m11", "m21"
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat3x2_copy(mat3x2 mat, mat3x2 dest)
copy mat3x2 to another one (dest).
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat3x2_zero(mat3x2 mat)
make given matrix zero
Parameters:
| *[in,out]* **mat** matrix
.. c:function:: void glm_mat3x2_make(const float * __restrict src, mat3x2 dest)
Create mat3x2 matrix from pointer
.. note:: **@src** must contain at least 6 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination matrix3x2
.. c:function:: void glm_mat3x2_mul(mat3x2 m1, mat2x3 m2, mat2 dest)
multiply m1 and m2 to dest
.. code-block:: c
glm_mat3x2_mul(mat3x2, mat2x3, mat2);
Parameters:
| *[in]* **m1** left matrix (mat3x2)
| *[in]* **m2** right matrix (mat2x3)
| *[out]* **dest** destination matrix (mat2)
.. csv-table:: mat3x2
:header: "", "column 1", "column 2", "column 3"
"row 1", "a00", "a10", "a20"
"row 2", "a01", "a11", "a21"
.. csv-table:: mat2x3
:header: "", "column 1", "column 2"
"row 1", "b00", "b10"
"row 2", "b01", "b11"
"row 3", "b02", "b12"
.. csv-table:: mat2x2
:header: "", "column 1", "column 2"
"row 1", "a00 * b00 + a10 * b01 + a20 * b02", "a00 * b10 + a10 * b11 + a20 * b12"
"row 2", "a01 * b00 + a11 * b01 + a21 * b02", "a01 * b10 + a11 * b11 + a21 * b12"
.. c:function:: void glm_mat3x2_mulv(mat3x2 m, vec3 v, vec2 dest)
multiply mat3x2 with vec3 (column vector) and store in dest vector
Parameters:
| *[in]* **m** mat3x2 (left)
| *[in]* **v** vec3 (right, column vector)
| *[out]* **dest** destination (result, column vector)
.. csv-table:: mat3x2
:header: "", "column 1", "column 2", "column 3"
"row 1", "m00", "m10", "m20"
"row 2", "m01", "m11", "m21"
.. csv-table:: column vec3 (1x3)
:header: "", "column 1"
"row 1", "v0"
"row 2", "v1"
"row 3", "v2"
.. csv-table:: column vec2 (1x2)
:header: "", "column 1"
"row 1", "m00 * v0 + m10 * v1 + m20 * v2"
"row 2", "m01 * v0 + m11 * v1 + m21 * v2"
.. c:function:: void glm_mat3x2_transpose(mat3x2 m, mat2x3 dest)
transpose matrix and store in dest
Parameters:
| *[in]* **m** matrix
| *[out]* **dest** destination
.. c:function:: void glm_mat3x2_scale(mat3x2 m, float s)
multiply matrix with scalar
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar
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.. default-domain:: C
mat3x4
======
Header: cglm/mat3x4.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_MAT3X4_ZERO_INIT
#. GLM_MAT3X4_ZERO
Functions:
1. :c:func:`glm_mat3x4_copy`
#. :c:func:`glm_mat3x4_zero`
#. :c:func:`glm_mat3x4_make`
#. :c:func:`glm_mat3x4_mul`
#. :c:func:`glm_mat3x4_mulv`
#. :c:func:`glm_mat3x4_transpose`
#. :c:func:`glm_mat3x4_scale`
Represented
~~~~~~~~~~~
.. csv-table:: mat3x4
:header: "", "column 1", "column 2", "column 3"
"row 1", "m00", "m10", "m20"
"row 2", "m01", "m11", "m21"
"row 3", "m02", "m12", "m22"
"row 4", "m03", "m13", "m23"
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat3x4_copy(mat3x4 mat, mat3x4 dest)
copy mat3x4 to another one (dest).
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat3x4_zero(mat3x4 mat)
make given matrix zero
Parameters:
| *[in,out]* **mat** matrix
.. c:function:: void glm_mat3x4_make(const float * __restrict src, mat3x4 dest)
Create mat3x4 matrix from pointer
.. note::: **@src** must contain at least 12 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination matrix3x4
.. c:function:: void glm_mat3x4_mul(mat3x4 m1, mat4x3 m2, mat4 dest)
multiply m1 and m2 to dest
.. code-block:: c
glm_mat3x4_mul(mat3x4, mat4x3, mat4);
Parameters:
| *[in]* **m1** left matrix (mat3x4)
| *[in]* **m2** right matrix (mat4x3)
| *[out]* **dest** destination matrix (mat4)
.. csv-table:: mat3x4
:header: "", "column 1", "column 2", "column 3"
"row 1", "a00", "a10", "a20"
"row 2", "a01", "a11", "a21"
"row 3", "a02", "a12", "a22"
"row 4", "a03", "a13", "a23"
.. csv-table:: mat4x3
:header: "", "column 1", "column 2", "column 3", "column 4"
"row 1", "b00", "b10", "b20", "b30"
"row 2", "b01", "b11", "b21", "b31"
"row 3", "b02", "b12", "b22", "b32"
.. csv-table:: mat4x4
:header: "", "column 1", "column 2", "column 3", "column 4"
"row 1", "a00 * b00 + a10 * b01 + a20 * b02", "a00 * b10 + a10 * b11 + a20 * b12", "a00 * b20 + a10 * b21 + a20 * b22", "a00 * b30 + a10 * b31 + a20 * b32"
"row 2", "a01 * b00 + a11 * b01 + a21 * b02", "a01 * b10 + a11 * b11 + a21 * b12", "a01 * b20 + a11 * b21 + a21 * b22", "a01 * b30 + a11 * b31 + a21 * b32"
"row 3", "a02 * b00 + a12 * b01 + a22 * b02", "a02 * b10 + a12 * b11 + a22 * b12", "a02 * b20 + a12 * b21 + a22 * b22", "a02 * b30 + a12 * b31 + a22 * b32"
"row 4", "a03 * b00 + a13 * b01 + a23 * b02", "a03 * b10 + a13 * b11 + a23 * b12", "a03 * b20 + a13 * b21 + a23 * b22", "a03 * b30 + a13 * b31 + a23 * b32"
.. c:function:: void glm_mat3x4_mulv(mat3x4 m, vec3 v, vec4 dest)
multiply mat3x4 with vec3 (column vector) and store in dest vector
Parameters:
| *[in]* **m** mat3x4 (left)
| *[in]* **v** vec3 (right, column vector)
| *[out]* **dest** destination (result, column vector)
.. csv-table:: mat3x4
:header: "", "column 1", "column 2", "column 3"
"row 1", "m00", "m10", "m20"
"row 2", "m01", "m11", "m21"
"row 3", "m02", "m12", "m22"
"row 4", "m03", "m13", "m23"
.. csv-table:: column vec3 (1x3)
:header: "", "column 1"
"row 1", "v0"
"row 2", "v1"
"row 3", "v2"
.. csv-table:: column vec4 (1x4)
:header: "", "column 1"
"row 1", "m00 * v0 + m10 * v1 + m20 * v2"
"row 2", "m01 * v0 + m11 * v1 + m21 * v2"
"row 3", "m02 * v0 + m12 * v1 + m22 * v2"
"row 4", "m03 * v0 + m13 * v1 + m23 * v2"
.. c:function:: void glm_mat3x4_transpose(mat3x4 m, mat4x3 dest)
transpose matrix and store in dest
Parameters:
| *[in]* **m** matrix
| *[out]* **dest** destination
.. c:function:: void glm_mat3x4_scale(mat3x4 m, float s)
multiply matrix with scalar
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar
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.. default-domain:: C
mat4
====
Header: cglm/mat4.h
Important: :c:func:`glm_mat4_scale` multiplies mat4 with scalar, if you need to
apply scale transform use :c:func:`glm_scale` functions.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_MAT4_IDENTITY_INIT
#. GLM_MAT4_ZERO_INIT
#. GLM_MAT4_IDENTITY
#. GLM_MAT4_ZERO
#. glm_mat4_udup(mat, dest)
#. glm_mat4_dup(mat, dest)
Functions:
1. :c:func:`glm_mat4_ucopy`
#. :c:func:`glm_mat4_copy`
#. :c:func:`glm_mat4_identity`
#. :c:func:`glm_mat4_identity_array`
#. :c:func:`glm_mat4_zero`
#. :c:func:`glm_mat4_pick3`
#. :c:func:`glm_mat4_pick3t`
#. :c:func:`glm_mat4_ins3`
#. :c:func:`glm_mat4_mul`
#. :c:func:`glm_mat4_mulN`
#. :c:func:`glm_mat4_mulv`
#. :c:func:`glm_mat4_mulv3`
#. :c:func:`glm_mat4_trace`
#. :c:func:`glm_mat4_trace3`
#. :c:func:`glm_mat4_quat`
#. :c:func:`glm_mat4_transpose_to`
#. :c:func:`glm_mat4_transpose`
#. :c:func:`glm_mat4_scale_p`
#. :c:func:`glm_mat4_scale`
#. :c:func:`glm_mat4_det`
#. :c:func:`glm_mat4_inv`
#. :c:func:`glm_mat4_inv_fast`
#. :c:func:`glm_mat4_swap_col`
#. :c:func:`glm_mat4_swap_row`
#. :c:func:`glm_mat4_rmc`
#. :c:func:`glm_mat4_make`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat4_ucopy(mat4 mat, mat4 dest)
copy mat4 to another one (dest). u means align is not required for dest
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat4_copy(mat4 mat, mat4 dest)
copy mat4 to another one (dest).
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat4_identity(mat4 mat)
copy identity mat4 to mat, or makes mat to identity
Parameters:
| *[out]* **mat** matrix
.. c:function:: void glm_mat4_identity_array(mat4 * __restrict mat, size_t count)
make given matrix array's each element identity matrix
Parameters:
| *[in,out]* **mat** matrix array (must be aligned (16/32) if alignment is not disabled)
| *[in]* **count** count of matrices
.. c:function:: void glm_mat4_zero(mat4 mat)
make given matrix zero
Parameters:
| *[in,out]* **mat** matrix to
.. c:function:: void glm_mat4_pick3(mat4 mat, mat3 dest)
copy upper-left of mat4 to mat3
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat4_pick3t(mat4 mat, mat4 dest)
copy upper-left of mat4 to mat3 (transposed)
the postfix t stands for transpose
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat4_ins3(mat3 mat, mat4 dest)
copy mat3 to mat4's upper-left. this function does not fill mat4's other
elements. To do that use glm_mat4.
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat4_mul(mat4 m1, mat4 m2, mat4 dest)
multiply m1 and m2 to dest
m1, m2 and dest matrices can be same matrix, it is possible to write this:
.. code-block:: c
mat4 m = GLM_MAT4_IDENTITY_INIT;
glm_mat4_mul(m, m, m);
Parameters:
| *[in]* **m1** left matrix
| *[in]* **m2** right matrix
| *[out]* **dest** destination matrix
.. c:function:: void glm_mat4_mulN(mat4 * __restrict matrices[], int len, mat4 dest)
mupliply N mat4 matrices and store result in dest
| this function lets you multiply multiple (more than two or more...)
| matrices
| multiplication will be done in loop, this may reduce instructions
| size but if **len** is too small then compiler may unroll whole loop
.. code-block:: c
mat m1, m2, m3, m4, res;
glm_mat4_mulN((mat4 *[]){&m1, &m2, &m3, &m4}, 4, res);
Parameters:
| *[in]* **matrices** array of mat4
| *[in]* **len** matrices count
| *[out]* **dest** destination matrix
.. c:function:: void glm_mat4_mulv(mat4 m, vec4 v, vec4 dest)
multiply mat4 with vec4 (column vector) and store in dest vector
Parameters:
| *[in]* **m** mat4 (left)
| *[in]* **v** vec4 (right, column vector)
| *[out]* **dest** vec4 (result, column vector)
.. c:function:: void glm_mat4_mulv3(mat4 m, vec3 v, float last, vec3 dest)
| multiply **vec3** with **mat4** and get **vec3** as result
|
| actually the result is **vec4**, after multiplication,
the last component is trimmed, if you need the result's last component
then don't use this function and consider to use **glm_mat4_mulv()**
Parameters:
| *[in]* **m** mat4(affine transform)
| *[in]* **v** vec3
| *[in]* **last** 4th item to make it vec4
| *[out]* **dest** result vector (vec3)
.. c:function:: void glm_mat4_trace(mat4 m)
| sum of the elements on the main diagonal from upper left to the lower right
Parameters:
| *[in]* **m** matrix
Returns:
trace of matrix
.. c:function:: void glm_mat4_trace3(mat4 m)
| trace of matrix (rotation part)
| sum of the elements on the main diagonal from upper left to the lower right
Parameters:
| *[in]* **m** matrix
Returns:
trace of matrix
.. c:function:: void glm_mat4_quat(mat4 m, versor dest)
convert mat4's rotation part to quaternion
Parameters:
| *[in]* **m** affine matrix
| *[out]* **dest** destination quaternion
.. c:function:: void glm_mat4_transpose_to(mat4 m, mat4 dest)
transpose mat4 and store in dest
source matrix will not be transposed unless dest is m
Parameters:
| *[in]* **m** matrix
| *[out]* **dest** destination matrix
.. c:function:: void glm_mat4_transpose(mat4 m)
transpose mat4 and store result in same matrix
Parameters:
| *[in]* **m** source
| *[out]* **dest** destination matrix
.. c:function:: void glm_mat4_scale_p(mat4 m, float s)
scale (multiply with scalar) matrix without simd optimization
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar
.. c:function:: void glm_mat4_scale(mat4 m, float s)
scale (multiply with scalar) matrix
THIS IS NOT SCALE TRANSFORM, use glm_scale for that.
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar
.. c:function:: float glm_mat4_det(mat4 mat)
mat4 determinant
Parameters:
| *[in]* **mat** matrix
Return:
| determinant
.. c:function:: void glm_mat4_inv(mat4 mat, mat4 dest)
inverse mat4 and store in dest
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination matrix (inverse matrix)
.. c:function:: void glm_mat4_inv_fast(mat4 mat, mat4 dest)
inverse mat4 and store in dest
| this func uses reciprocal approximation without extra corrections
| e.g Newton-Raphson. this should work faster than normal,
| to get more precise use glm_mat4_inv version.
.. note:: You will lose precision, glm_mat4_inv is more accurate
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat4_swap_col(mat4 mat, int col1, int col2)
swap two matrix columns
Parameters:
| *[in, out]* **mat** matrix
| *[in]* **col1** col1
| *[in]* **col2** col2
.. c:function:: void glm_mat4_swap_row(mat4 mat, int row1, int row2)
swap two matrix rows
Parameters:
| *[in, out]* **mat** matrix
| *[in]* **row1** row1
| *[in]* **row2** row2
.. c:function:: float glm_mat4_rmc(vec4 r, mat4 m, vec4 c)
| **rmc** stands for **Row** * **Matrix** * **Column**
| helper for R (row vector) * M (matrix) * C (column vector)
| the result is scalar because R * M = Matrix1x4 (row vector),
| then Matrix1x4 * Vec4 (column vector) = Matrix1x1 (Scalar)
Parameters:
| *[in]* **r** row vector or matrix1x4
| *[in]* **m** matrix4x4
| *[in]* **c** column vector or matrix4x1
Returns:
scalar value e.g. Matrix1x1
.. c:function:: void glm_mat4_make(const float * __restrict src, mat4 dest)
Create mat4 matrix from pointer
.. note:: **@src** must contain at least 16 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination matrix4x4
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.. default-domain:: C
mat4x2
======
Header: cglm/mat4x2.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_MAT4X2_ZERO_INIT
#. GLM_MAT4X2_ZERO
Functions:
1. :c:func:`glm_mat4x2_copy`
#. :c:func:`glm_mat4x2_zero`
#. :c:func:`glm_mat4x2_make`
#. :c:func:`glm_mat4x2_mul`
#. :c:func:`glm_mat4x2_mulv`
#. :c:func:`glm_mat4x2_transpose`
#. :c:func:`glm_mat4x2_scale`
Represented
~~~~~~~~~~~
.. csv-table:: mat4x2
:header: "", "column 1", "column 2", "column 3", "column4"
"row 1", "m00", "m10", "m20", "m30"
"row 2", "m01", "m11", "m21", "m31"
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat4x2_copy(mat4x2 mat, mat4x2 dest)
copy mat4x2 to another one (dest).
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat4x2_zero(mat4x2 mat)
make given matrix zero
Parameters:
| *[in,out]* **mat** matrix
.. c:function:: void glm_mat4x2_make(const float * __restrict src, mat4x2 dest)
Create mat4x2 matrix from pointer
.. note:: **@src** must contain at least 8 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination matrix4x2
.. c:function:: void glm_mat4x2_mul(mat4x2 m1, mat2x4 m2, mat2 dest)
multiply m1 and m2 to dest
.. code-block:: c
glm_mat4x2_mul(mat4x2, mat2x4, mat2);
Parameters:
| *[in]* **m1** left matrix (mat4x2)
| *[in]* **m2** right matrix (mat2x4)
| *[out]* **dest** destination matrix (mat2)
.. csv-table:: mat4x2
:header: "", "column 1", "column 2", "column 3", "column 4"
"row 1", "a00", "a10", "a20", "a30"
"row 2", "a01", "a11", "a21", "a31"
.. csv-table:: mat2x4
:header: "", "column 1", "column 2"
"row 1", "b00", "b10"
"row 2", "b01", "b11"
"row 3", "b02", "b12"
"row 4", "b03", "b13"
.. csv-table:: mat2x2
:header: "", "column 1", "column 2"
"row 1", "a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03", "a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13"
"row 2", "a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03", "a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13"
.. c:function:: void glm_mat4x2_mulv(mat4x2 m, vec4 v, vec2 dest)
multiply mat4x2 with vec4 (column vector) and store in dest vector
Parameters:
| *[in]* **m** mat4x2 (left)
| *[in]* **v** vec4 (right, column vector)
| *[out]* **dest** destination (result, column vector)
.. csv-table:: mat4x2
:header: "", "column 1", "column 2", "column 3"
"row 1", "m00", "m10", "m20"
"row 2", "m01", "m11", "m21"
"row 3", "m02", "m12", "m22"
"row 4", "m03", "m13", "m23"
.. csv-table:: column vec4 (1x4)
:header: "", "column 1"
"row 1", "v0"
"row 2", "v1"
"row 3", "v2"
"row 4", "v3"
.. csv-table:: column vec2 (1x2)
:header: "", "column 1"
"row 1", "m00 * v0 + m10 * v1 + m20 * v2 + m30 * v3"
"row 2", "m01 * v0 + m11 * v1 + m21 * v2 + m31 * v3"
.. c:function:: void glm_mat4x2_transpose(mat4x2 m, mat2x4 dest)
transpose matrix and store in dest
Parameters:
| *[in]* **m** matrix
| *[out]* **dest** destination
.. c:function:: void glm_mat4x2_scale(mat4x2 m, float s)
multiply matrix with scalar
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar
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.. default-domain:: C
mat4x3
======
Header: cglm/mat4x3.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_MAT4X3_ZERO_INIT
#. GLM_MAT4X3_ZERO
Functions:
1. :c:func:`glm_mat4x3_copy`
#. :c:func:`glm_mat4x3_zero`
#. :c:func:`glm_mat4x3_make`
#. :c:func:`glm_mat4x3_mul`
#. :c:func:`glm_mat4x3_mulv`
#. :c:func:`glm_mat4x3_transpose`
#. :c:func:`glm_mat4x3_scale`
Represented
~~~~~~~~~~~
.. csv-table:: mat4x3
:header: "", "column 1", "column 2", "column 3", "column4"
"row 1", "m00", "m10", "m20", "m30"
"row 2", "m01", "m11", "m21", "m31"
"row 3", "m02", "m12", "m22", "m32"
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat4x3_copy(mat4x3 mat, mat4x3 dest)
copy mat4x3 to another one (dest).
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat4x3_zero(mat4x3 mat)
make given matrix zero
Parameters:
| *[in,out]* **mat** matrix
.. c:function:: void glm_mat4x3_make(const float * __restrict src, mat4x3 dest)
Create mat4x3 matrix from pointer
.. note:: **@src** must contain at least 12 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination matrix4x3
.. c:function:: void glm_mat4x3_mul(mat4x3 m1, mat3x4 m2, mat3 dest)
multiply m1 and m2 to dest
.. code-block:: c
glm_mat4x3_mul(mat4x3, mat3x4, mat3);
Parameters:
| *[in]* **m1** left matrix (mat4x3)
| *[in]* **m2** right matrix (mat3x4)
| *[out]* **dest** destination matrix (mat3)
.. csv-table:: mat4x3
:header: "", "column 1", "column 2", "column 3", "column 4"
"row 1", "a00", "a10", "a20", "a30"
"row 2", "a01", "a11", "a21", "a31"
"row 3", "a02", "a12", "a22", "a32"
.. csv-table:: mat3x4
:header: "", "column 1", "column 2", "column 3"
"row 1", "b00", "b10", "b20"
"row 2", "b01", "b11", "b21"
"row 3", "b02", "b12", "b22"
"row 4", "b03", "b13", "b23"
.. csv-table:: mat3x3
:header: "", "column 1", "column 2", "column 3"
"row 1", "a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03", "a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13", "a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23"
"row 2", "a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03", "a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13", "a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23"
"row 3", "a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03", "a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13", "a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23"
.. c:function:: void glm_mat4x3_mulv(mat4x3 m, vec4 v, vec3 dest)
multiply mat4x3 with vec4 (column vector) and store in dest column vector
Parameters:
| *[in]* **m** mat4x3 (left)
| *[in]* **v** vec4 (right, column vector)
| *[out]* **dest** destination (result, column vector)
.. csv-table:: mat4x3
:header: "", "column 1", "column 2", "column 3", "column 4"
"row 1", "m00", "m10", "m20", "m30"
"row 2", "m01", "m11", "m21", "m31"
"row 3", "m02", "m12", "m22", "m32"
.. csv-table:: column vec4 (1x4)
:header: "", "column 1"
"row 1", "v0"
"row 2", "v1"
"row 3", "v2"
"row 4", "v3"
.. csv-table:: column vec3 (1x3)
:header: "", "column 1"
"row 1", "m00 * v0 + m10 * v1 + m20 * v2 + m30 * v3"
"row 2", "m01 * v0 + m11 * v1 + m21 * v2 + m31 * v3"
"row 3", "m02 * v0 + m12 * v1 + m22 * v2 + m32 * v3"
.. c:function:: void glm_mat4x3_transpose(mat4x3 m, mat3x4 dest)
transpose matrix and store in dest
Parameters:
| *[in]* **m** matrix
| *[out]* **dest** destination
.. c:function:: void glm_mat4x3_scale(mat4x3 m, float s)
multiply matrix with scalar
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar
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.. default-domain:: C
perlin
================================================================================
Header: cglm/noise.h
Classic Perlin noise implementation.
Based on the work of Stefan Gustavson and Ashima Arts on "webgl-noise":
https://github.com/stegu/webgl-noise
Following Stefan Gustavson's paper "Simplex noise demystified":
http://www.itn.liu.se/~stegu/simplexnoise/simplexnoise.pdf
Implementation based on glm::perlin function:
https://github.com/g-truc/glm/blob/master/glm/gtc/noise.inl
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_perlin_vec4`
#. :c:func:`glm_perlin_vec3`
#. :c:func:`glm_perlin_vec2`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: float glm_perlin_vec4(vec4 point)
| Classic Perlin noise
Parameters:
| *[in]* **point** 4D point
Returns:
| noise value
.. c:function:: float glm_perlin_vec3(vec3 point)
| Classic Perlin noise
Parameters:
| *[in]* **point** 3D point
Returns:
| noise value
.. c:function:: float glm_perlin_vec2(vec2 point)
| Classic Perlin noise
Parameters:
| *[in]* **point** 2D point
Returns:
| noise value
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How to send vector or matrix to OpenGL like API
==================================================
*cglm*'s vector and matrix types are arrays. So you can send them directly to a
function which accepts pointer. But you may got warnings for matrix because it is
two dimensional array.
Passing / Uniforming Matrix to OpenGL:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
**glUniformMatrix4fv** accepts float pointer, you can pass matrix to that parameter
and it should work but with warnings. "You can pass" doesn't mean that you must pass like that.
**Correct options:**
Correct doesn't mean correct way to use OpenGL it is just shows correct way to pass cglm type to it.
1. Pass first column
---------------------
The goal is that pass address of matrix, first element of matrix is also address of matrix,
because it is array of vectors and vector is array of floats.
.. code-block:: c
mat4 matrix;
/* ... */
glUniformMatrix4fv(location, 1, GL_FALSE, matrix[0]);
array of matrices:
.. code-block:: c
mat4 matrix;
/* ... */
glUniformMatrix4fv(location, count, GL_FALSE, matrix[0][0]);
2. Cast matrix to pointer
--------------------------
.. code-block:: c
mat4 matrix;
/* ... */
glUniformMatrix4fv(location, count, GL_FALSE, (float *)matrix);
in this way, passing array of matrices is same
Passing / Uniforming Vectors to OpenGL:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
You don't need to do extra thing when passing cglm vectors to OpengL or other APIs.
Because a function like **glUniform4fv** accepts vector as pointer. cglm's vectors
are array of floats. So you can pass it directly to those functions:
.. code-block:: c
vec4 vec;
/* ... */
glUniform4fv(location, 1, vec);
this show how to pass **vec4** others are same.
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.. default-domain:: C
🛠️ Options
===============================================================================
A few options are provided via macros.
❗️ IMPORTANT ❗️
It's a good idea to set up your config macros in build settings like CMake, Xcode, or Visual Studio. This is especially important if you're using features like Modules in Xcode, where adding macros directly before the **cglm** headers might not work.
Alignment Option
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
By default, **cglm** requires types to be aligned with specific byte requirements:
- vec3: 8 bytes
- vec4: 16 bytes
- mat4: 16 bytes (32 on AVX)
- versor: 16 bytes
Starting with **v0.4.5**, **cglm** offers an option to relax these alignment requirements. To use this option, define the **CGLM_ALL_UNALIGNED** macro before including any headers. This definition can be made within Xcode, Visual Studio, other IDEs, or directly in your build system. If using pre-compiled versions of **cglm**, you'll need to compile them with the **CGLM_ALL_UNALIGNED** macro.
**❗️NOTE:❗️** If you're using **cglm** across multiple interdependent projects:
- Always or never use the **CGLM_ALL_UNALIGNED** macro in all linked projects to avoid configuration conflicts. A **cglm** header from one project could require alignment, while a header from another might not, leading to **cglm** functions accessing invalid memory locations.
- **Key Point:** Maintain the same **cglm** configuration across all your projects. For example, if you activate **CGLM_ALL_UNALIGNED** in one project, ensure it's set in the others too.
**❗️NOTE:❗️**
While **CGLM_ALL_UNALIGNED** allows for flexibility in alignment, it doesn't override C's fundamental alignment rules. For example, an array like *vec4* decays to a pointer (float*) in functions, which must adhere to the alignment requirements of a float pointer (4 bytes). This adherence is crucial because **cglm** directly dereferences these pointers instead of copying data, and failing to meet alignment requirements can lead to unpredictable errors, such as crashes.
You can use `CGLM_ALIGN` and `CGLM_ALIGN_MAT` macros for aligning local variables or struct members. However, when dealing with dynamic memory allocation or custom memory locations, you'll need to ensure alignment requirements are met appropriately for those cases
Clipspace Option[s]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
By starting **v0.8.3** cglm provides options to switch between clipspace configurations.
Clipspace related files are located at `include/cglm/[struct]/clipspace.h` but
these are included in related files like `cam.h`. If you don't want to change your existing
clipspace configuration and want to use different clipspace function like `glm_lookat_zo` or `glm_lookat_lh_zo`...
then you can include individual headers or just define `CGLM_CLIPSPACE_INCLUDE_ALL` which will include all headers for you.
1. **CGLM_CLIPSPACE_INCLUDE_ALL**
2. **CGLM_FORCE_DEPTH_ZERO_TO_ONE**
3. **CGLM_FORCE_LEFT_HANDED**
1. **CGLM_CLIPSPACE_INCLUDE_ALL**:
By defining this macro, **cglm** will include all clipspace functions for you by just using
`#include cglm/cglm.h` or `#include cglm/struct.h` or `#include cglm/call.h`
Otherwise you need to include header you want manually e.g. `#include cglm/clipspace/view_rh_zo.h`
2. **CGLM_FORCE_DEPTH_ZERO_TO_ONE**
This is similar to **GLM**'s **GLM_FORCE_DEPTH_ZERO_TO_ONE** option.
This will set clip space between 0 to 1 which makes **cglm** Vulkan, Metal friendly.
You can use functions like `glm_lookat_lh_zo()` individually. By setting **CGLM_FORCE_DEPTH_ZERO_TO_ONE**
functions in cam.h for instance will use `_zo` versions.
3. **CGLM_FORCE_LEFT_HANDED**
Force **cglm** to use the left handed coordinate system by default, currently **cglm** uses right handed coordinate system as default,
you can change this behavior with this option.
**VERY VERY IMPORTANT:**
Be careful if you include **cglm** in multiple projects.
SSE and SSE2 Shuffle Option
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
**_mm_shuffle_ps** generates **shufps** instruction even if registers are same.
You can force it to generate **pshufd** instruction by defining
**CGLM_NO_INT_DOMAIN** macro. As default it is not defined.
SSE3 and SSE4 Dot Product Options
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
You have to extra options for dot product: **CGLM_SSE4_DOT** and **CGLM_SSE3_DOT**.
- If **SSE4** is enabled then you can define **CGLM_SSE4_DOT** to force cglm to use **_mm_dp_ps** instruction.
- If **SSE3** is enabled then you can define **CGLM_SSE3_DOT** to force cglm to use **_mm_hadd_ps** instructions.
otherwise cglm will use custom cglm's hadd functions which are optimized too.
Struct API Options
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
To configure the Struct API namespace, you can define the following macros before including the cglm/struct.h header:
- **CGLM_OMIT_NS_FROM_STRUCT_API**: omits CGLM_STRUCT_API_NS (`glms_`) namespace completely if there is sub namespace e.g `mat4_`, `vec4_` ... DEFAULT is not defined
- **CGLM_STRUCT_API_NS**: define name space for struct api, DEFAULT is **glms**
- **CGLM_STRUCT_API_NAME_SUFFIX**: define name suffix, DEFAULT is **empty** e.g defining it as #define CGLM_STRUCT_API_NAME_SUFFIX s will add s suffix to mat4_mul -> mat4s_mul
Print Options
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1. **CGLM_DEFINE_PRINTS**
2. **CGLM_NO_PRINTS_NOOP** (use CGLM_DEFINE_PRINTS)
Inline prints are only enabled in **DEBUG** mode or if **CGLM_DEFINE_PRINTS** is defined.
**glmc_** versions will always print too.
Because **cglm** tried to enable print functions in debug mode and disable them in
release/production mode to eliminate printing costs when we do not need them.
**cglm** checks **DEBUG** or **_DEBUG** macros to test debug mode, if these are not working for you then you can use
**CGLM_DEFINE_PRINTS** to force enable, or create a PR to introduce new macro to test against debugging mode.
If DEBUG mode is not enabled then print functions will be emptied to eliminate print function calls.
You can disable this feature too by defining **CGLM_DEFINE_PRINTS** macro top of cglm header
or in project/build settings...
3. **CGLM_PRINT_PRECISION** 5
precision.
4. **CGLM_PRINT_MAX_TO_SHORT** 1e5
if a number is greater than this value then %g will be used, since this is shorten print you won't be able to see high precision.
5. **CGLM_PRINT_COLOR** "\033[36m"
6. **CGLM_PRINT_COLOR_RESET** "\033[0m"
You can disable colorful print output by defining **CGLM_PRINT_COLOR** and **CGLM_PRINT_COLOR_RESET** as empty macro.
Because some terminals may not support colors.
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.. default-domain:: C
plane
================================================================================
Header: cglm/plane.h
Plane extract functions are in frustum header and documented
in :doc:`frustum` page.
**Definition of plane:**
Plane equation: **Ax + By + Cz + D = 0**
Plan is stored in **vec4** as **[A, B, C, D]**. (A, B, C) is normal and D is distance
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_plane_normalize`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_plane_normalize(vec4 plane)
| normalizes a plane
Parameters:
| *[in, out]* **plane** pnale to normalize
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.. default-domain:: C
Project / UnProject
================================================================================
Header: cglm/project.h
Viewport is required as *vec4* **[X, Y, Width, Height]** but this doesn't mean
that you should store it as **vec4**. You can convert your data representation
to vec4 before passing it to related functions.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_unprojecti`
#. :c:func:`glm_unproject`
#. :c:func:`glm_project`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_unprojecti(vec3 pos, mat4 invMat, vec4 vp, vec3 dest)
| maps the specified viewport coordinates into specified space [1]
the matrix should contain projection matrix.
if you don't have ( and don't want to have ) an inverse matrix then use
:c:func:`glm_unproject` version. You may use existing inverse of matrix in somewhere
else, this is why **glm_unprojecti** exists to save inversion cost
[1] space:
- if m = invProj: View Space
- if m = invViewProj: World Space
- if m = invMVP: Object Space
You probably want to map the coordinates into object space
so use invMVP as m
Computing viewProj:
.. code-block:: c
glm_mat4_mul(proj, view, viewProj);
glm_mat4_mul(viewProj, model, MVP);
glm_mat4_inv(viewProj, invMVP);
Parameters:
| *[in]* **pos** point/position in viewport coordinates
| *[in]* **invMat** matrix (see brief)
| *[in]* **vp** viewport as [x, y, width, height]
| *[out]* **dest** unprojected coordinates
.. c:function:: void glm_unproject(vec3 pos, mat4 m, vec4 vp, vec3 dest)
| maps the specified viewport coordinates into specified space [1]
the matrix should contain projection matrix.
this is same as :c:func:`glm_unprojecti` except this function get inverse matrix for
you.
[1] space:
- if m = proj: View Space
- if m = viewProj: World Space
- if m = MVP: Object Space
You probably want to map the coordinates into object space so use MVP as m
Computing viewProj and MVP:
.. code-block:: c
glm_mat4_mul(proj, view, viewProj);
glm_mat4_mul(viewProj, model, MVP);
Parameters:
| *[in]* **pos** point/position in viewport coordinates
| *[in]* **m** matrix (see brief)
| *[in]* **vp** viewport as [x, y, width, height]
| *[out]* **dest** unprojected coordinates
.. c:function:: void glm_project(vec3 pos, mat4 m, vec4 vp, vec3 dest)
| map object coordinates to window coordinates
Computing MVP:
.. code-block:: c
glm_mat4_mul(proj, view, viewProj);
glm_mat4_mul(viewProj, model, MVP);
Parameters:
| *[in]* **pos** object coordinates
| *[in]* **m** MVP matrix
| *[in]* **vp** viewport as [x, y, width, height]
| *[out]* **dest** projected coordinates
.. c:function:: float glm_project_z(vec3 pos, mat4 m)
| map object's z coordinate to window coordinates
this is same as :c:func:`glm_project` except this function projects only Z coordinate
which reduces a few calculations and parameters.
Computing MVP:
.. code-block:: c
glm_mat4_mul(proj, view, viewProj);
glm_mat4_mul(viewProj, model, MVP);
Parameters:
| *[in]* **pos** object coordinates
| *[in]* **m** MVP matrix
Returns:
projected z coordinate
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.. default-domain:: C
quaternions
===========
Header: cglm/quat.h
**Important:** *cglm* stores quaternion as **[x, y, z, w]** in memory
since **v0.4.0** it was **[w, x, y, z]**
before v0.4.0 ( **v0.3.5 and earlier** ). w is real part.
What you can do with quaternions with existing functions is (Some of them):
- You can rotate transform matrix using quaternion
- You can rotate vector using quaternion
- You can create view matrix using quaternion
- You can create a lookrotation (from source point to dest)
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_QUAT_IDENTITY_INIT
#. GLM_QUAT_IDENTITY
Functions:
1. :c:func:`glm_quat_identity`
#. :c:func:`glm_quat_identity_array`
#. :c:func:`glm_quat_init`
#. :c:func:`glm_quat`
#. :c:func:`glm_quatv`
#. :c:func:`glm_quat_copy`
#. :c:func:`glm_quat_from_vecs`
#. :c:func:`glm_quat_norm`
#. :c:func:`glm_quat_normalize`
#. :c:func:`glm_quat_normalize_to`
#. :c:func:`glm_quat_dot`
#. :c:func:`glm_quat_conjugate`
#. :c:func:`glm_quat_inv`
#. :c:func:`glm_quat_add`
#. :c:func:`glm_quat_sub`
#. :c:func:`glm_quat_real`
#. :c:func:`glm_quat_imag`
#. :c:func:`glm_quat_imagn`
#. :c:func:`glm_quat_imaglen`
#. :c:func:`glm_quat_angle`
#. :c:func:`glm_quat_axis`
#. :c:func:`glm_quat_mul`
#. :c:func:`glm_quat_mat4`
#. :c:func:`glm_quat_mat4t`
#. :c:func:`glm_quat_mat3`
#. :c:func:`glm_quat_mat3t`
#. :c:func:`glm_quat_lerp`
#. :c:func:`glm_quat_nlerp`
#. :c:func:`glm_quat_slerp`
#. :c:func:`glm_quat_slerp_longest`
#. :c:func:`glm_quat_look`
#. :c:func:`glm_quat_for`
#. :c:func:`glm_quat_forp`
#. :c:func:`glm_quat_rotatev`
#. :c:func:`glm_quat_rotate`
#. :c:func:`glm_quat_rotate_at`
#. :c:func:`glm_quat_rotate_atm`
#. :c:func:`glm_quat_make`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_quat_identity(versor q)
| makes given quat to identity
Parameters:
| *[in, out]* **q** quaternion
.. c:function:: void glm_quat_identity_array(versor * __restrict q, size_t count)
| make given quaternion array's each element identity quaternion
Parameters:
| *[in, out]* **q** quat array (must be aligned (16) if alignment is not disabled)
| *[in]* **count** count of quaternions
.. c:function:: void glm_quat_init(versor q, float x, float y, float z, float w)
| inits quaternion with given values
Parameters:
| *[out]* **q** quaternion
| *[in]* **x** imag.x
| *[in]* **y** imag.y
| *[in]* **z** imag.z
| *[in]* **w** w (real part)
.. c:function:: void glm_quat(versor q, float angle, float x, float y, float z)
| creates NEW quaternion with individual axis components
| given axis will be normalized
Parameters:
| *[out]* **q** quaternion
| *[in]* **angle** angle (radians)
| *[in]* **x** axis.x
| *[in]* **y** axis.y
| *[in]* **z** axis.z
.. c:function:: void glm_quatv(versor q, float angle, vec3 axis)
| creates NEW quaternion with axis vector
| given axis will be normalized
Parameters:
| *[out]* **q** quaternion
| *[in]* **angle** angle (radians)
| *[in]* **axis** axis (will be normalized)
.. c:function:: void glm_quat_copy(versor q, versor dest)
| copy quaternion to another one
Parameters:
| *[in]* **q** source quaternion
| *[out]* **dest** destination quaternion
.. c:function:: void glm_quat_from_vecs(vec3 a, vec3 b, versor dest)
| compute unit quaternion needed to rotate a into b
References:
* `Finding quaternion representing the rotation from one vector to another <https://stackoverflow.com/a/11741520/183120>`_
* `Quaternion from two vectors <http://lolengine.net/blog/2014/02/24/quaternion-from-two-vectors-final>`_
* `Angle between vectors <http://www.euclideanspace.com/maths/algebra/vectors/angleBetween/minorlogic.htm>`_
Parameters:
| *[in]* **a** unit vector
| *[in]* **b** unit vector
| *[in]* **dest** unit quaternion
.. c:function:: float glm_quat_norm(versor q)
| returns norm (magnitude) of quaternion
Parameters:
| *[in]* **a** quaternion
Returns:
norm (magnitude)
.. c:function:: void glm_quat_normalize_to(versor q, versor dest)
| normalize quaternion and store result in dest, original one will not be normalized
Parameters:
| *[in]* **q** quaternion to normalize into
| *[out]* **dest** destination quaternion
.. c:function:: void glm_quat_normalize(versor q)
| normalize quaternion
Parameters:
| *[in, out]* **q** quaternion
.. c:function:: float glm_quat_dot(versor p, versor q)
dot product of two quaternion
Parameters:
| *[in]* **p** quaternion 1
| *[in]* **q** quaternion 2
Returns:
dot product
.. c:function:: void glm_quat_conjugate(versor q, versor dest)
conjugate of quaternion
Parameters:
| *[in]* **q** quaternion
| *[in]* **dest** conjugate
.. c:function:: void glm_quat_inv(versor q, versor dest)
inverse of non-zero quaternion
Parameters:
| *[in]* **q** quaternion
| *[in]* **dest** inverse quaternion
.. c:function:: void glm_quat_add(versor p, versor q, versor dest)
add (componentwise) two quaternions and store result in dest
Parameters:
| *[in]* **p** quaternion 1
| *[in]* **q** quaternion 2
| *[in]* **dest** result quaternion
.. c:function:: void glm_quat_sub(versor p, versor q, versor dest)
subtract (componentwise) two quaternions and store result in dest
Parameters:
| *[in]* **p** quaternion 1
| *[in]* **q** quaternion 2
| *[in]* **dest** result quaternion
.. c:function:: float glm_quat_real(versor q)
returns real part of quaternion
Parameters:
| *[in]* **q** quaternion
Returns:
real part (quat.w)
.. c:function:: void glm_quat_imag(versor q, vec3 dest)
returns imaginary part of quaternion
Parameters:
| *[in]* **q** quaternion
| *[out]* **dest** imag
.. c:function:: void glm_quat_imagn(versor q, vec3 dest)
returns normalized imaginary part of quaternion
Parameters:
| *[in]* **q** quaternion
| *[out]* **dest** imag
.. c:function:: float glm_quat_imaglen(versor q)
returns length of imaginary part of quaternion
Parameters:
| *[in]* **q** quaternion
Returns:
norm of imaginary part
.. c:function:: float glm_quat_angle(versor q)
returns angle of quaternion
Parameters:
| *[in]* **q** quaternion
Returns:
angles of quat (radians)
.. c:function:: void glm_quat_axis(versor q, versor dest)
axis of quaternion
Parameters:
| *[in]* **p** quaternion
| *[out]* **dest** axis of quaternion
.. c:function:: void glm_quat_mul(versor p, versor q, versor dest)
| multiplies two quaternion and stores result in dest
| this is also called Hamilton Product
| According to WikiPedia:
| The product of two rotation quaternions [clarification needed] will be
equivalent to the rotation q followed by the rotation p
Parameters:
| *[in]* **p** quaternion 1 (first rotation)
| *[in]* **q** quaternion 2 (second rotation)
| *[out]* **dest** result quaternion
.. c:function:: void glm_quat_mat4(versor q, mat4 dest)
| convert quaternion to mat4
Parameters:
| *[in]* **q** quaternion
| *[out]* **dest** result matrix
.. c:function:: void glm_quat_mat4t(versor q, mat4 dest)
| convert quaternion to mat4 (transposed). This is transposed version of glm_quat_mat4
Parameters:
| *[in]* **q** quaternion
| *[out]* **dest** result matrix
.. c:function:: void glm_quat_mat3(versor q, mat3 dest)
| convert quaternion to mat3
Parameters:
| *[in]* **q** quaternion
| *[out]* **dest** result matrix
.. c:function:: void glm_quat_mat3t(versor q, mat3 dest)
| convert quaternion to mat3 (transposed). This is transposed version of glm_quat_mat3
Parameters:
| *[in]* **q** quaternion
| *[out]* **dest** result matrix
.. c:function:: void glm_quat_lerp(versor from, versor to, float t, versor dest)
| interpolates between two quaternions
| using spherical linear interpolation (LERP)
Parameters:
| *[in]* **from** from
| *[in]* **to** to
| *[in]* **t** interpolant (amount) clamped between 0 and 1
| *[out]* **dest** result quaternion
.. c:function:: void glm_quat_nlerp(versor q, versor r, float t, versor dest)
| interpolates between two quaternions
| taking the shortest rotation path using
| normalized linear interpolation (NLERP)
| This is a cheaper alternative to slerp; most games use nlerp
| for animations as it visually makes little difference.
References:
* `Understanding Slerp, Then Not Using it <http://number-none.com/product/Understanding%20Slerp,%20Then%20Not%20Using%20It>`_
* `Lerp, Slerp and Nlerp <https://keithmaggio.wordpress.com/2011/02/15/math-magician-lerp-slerp-and-nlerp/>`_
Parameters:
| *[in]* **from** from
| *[in]* **to** to
| *[in]* **t** interpolant (amount) clamped between 0 and 1
| *[out]* **dest** result quaternion
.. c:function:: void glm_quat_slerp(versor q, versor r, float t, versor dest)
| interpolates between two quaternions
| using spherical linear interpolation (SLERP)
Parameters:
| *[in]* **from** from
| *[in]* **to** to
| *[in]* **t** interpolant (amount) clamped between 0 and 1
| *[out]* **dest** result quaternion
.. c:function:: void glm_quat_slerp_longest(versor q, versor r, float t, versor dest)
| interpolates between two quaternions
| using spherical linear interpolation (SLERP) and always takes the longest path
Parameters:
| *[in]* **from** from
| *[in]* **to** to
| *[in]* **t** interpolant (amount) clamped between 0 and 1
| *[out]* **dest** result quaternion
.. c:function:: void glm_quat_look(vec3 eye, versor ori, mat4 dest)
| creates view matrix using quaternion as camera orientation
Parameters:
| *[in]* **eye** eye
| *[in]* **ori** orientation in world space as quaternion
| *[out]* **dest** result matrix
.. c:function:: void glm_quat_for(vec3 dir, vec3 up, versor dest)
| creates look rotation quaternion
Parameters:
| *[in]* **dir** direction to look
| *[in]* **up** up vector
| *[out]* **dest** result matrix
.. c:function:: void glm_quat_forp(vec3 from, vec3 to, vec3 up, versor dest)
| creates look rotation quaternion using source and destination positions p suffix stands for position
| this is similar to glm_quat_for except this computes direction for glm_quat_for for you.
Parameters:
| *[in]* **from** source point
| *[in]* **to** destination point
| *[in]* **up** up vector
| *[out]* **dest** result matrix
.. c:function:: void glm_quat_rotatev(versor q, vec3 v, vec3 dest)
| crotate vector using using quaternion
Parameters:
| *[in]* **q** quaternion
| *[in]* **v** vector to rotate
| *[out]* **dest** rotated vector
.. c:function:: void glm_quat_rotate(mat4 m, versor q, mat4 dest)
| rotate existing transform matrix using quaternion
instead of passing identity matrix, consider to use quat_mat4 functions
Parameters:
| *[in]* **m** existing transform matrix to rotate
| *[in]* **q** quaternion
| *[out]* **dest** rotated matrix/transform
.. c:function:: void glm_quat_rotate_at(mat4 m, versor q, vec3 pivot)
| rotate existing transform matrix using quaternion at pivot point
Parameters:
| *[in, out]* **m** existing transform matrix to rotate
| *[in]* **q** quaternion
| *[in]* **pivot** pivot
.. c:function:: void glm_quat_rotate_atm(mat4 m, versor q, vec3 pivot)
| rotate NEW transform matrix using quaternion at pivot point
| this creates rotation matrix, it assumes you don't have a matrix
| this should work faster than glm_quat_rotate_at because it reduces one glm_translate.
Parameters:
| *[in, out]* **m** existing transform matrix to rotate
| *[in]* **q** quaternion
| *[in]* **pivot** pivot
.. c:function:: void glm_quat_make(const float * __restrict src, versor dest)
Create quaternion from pointer
.. note:: **@src** must contain at least 4 elements. cglm store quaternions as [x, y, z, w].
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination quaternion
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.. default-domain:: C
ray
====
Header: cglm/ray.h
This is for collision-checks used by ray-tracers and the like.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_ray_triangle`
#. :c:func:`glm_ray_sphere`
#. :c:func:`glm_ray_at`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: bool glm_ray_triangle(vec3 origin, vec3 direction, vec3 v0, vec3 v1, vec3 v2, float *d)
MöllerTrumbore ray-triangle intersection algorithm
Parameters:
| *[in]* **origin** origin of ray
| *[in]* **direction** direction of ray
| *[in]* **v0** first vertex of triangle
| *[in]* **v1** second vertex of triangle
| *[in]* **v2** third vertex of triangle
| *[in, out]* **d** float pointer to save distance to intersection
| *[out]* **intersection** whether there is intersection
.. c:function:: bool glm_ray_sphere(vec3 origin, vec3 dir, vec4 s, float * __restrict t1, float * __restrict t2)
ray sphere intersection
returns false if there is no intersection if true:
- t1 > 0, t2 > 0: ray intersects the sphere at t1 and t2 both ahead of the origin
- t1 < 0, t2 > 0: ray starts inside the sphere, exits at t2
- t1 < 0, t2 < 0: no intersection ahead of the ray ( returns false )
- the caller can check if the intersection points (t1 and t2) fall within a
specific range (for example, tmin < t1, t2 < tmax) to determine if the
intersections are within a desired segment of the ray
Parameters:
| *[in]* **origin** ray origin
| *[in]* **dir** normalized ray direction
| *[in]* **s** sphere [center.x, center.y, center.z, radii]
| *[out]* **t1** near point1 (closer to origin)
| *[out]* **t2** far point2 (farther from origin)
Return:
| whether there is intersection
.. c:function:: bool glm_ray_at(vec3 orig, vec3 dir, float t, vec3 point)
point using t by 𝐏(𝑡)=𝐀+𝑡𝐛
Parameters:
| *[in]* **origin** ray origin
| *[in]* **dir** ray direction
| *[out]* **t** parameter
| *[out]* **point** point at t
Return:
| point at t
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.. default-domain:: C
Sphere
================================================================================
Header: cglm/sphere.h
**Definition of sphere:**
Sphere Representation in cglm is *vec4*: **[center.x, center.y, center.z, radii]**
You can call any vec3 function by passing sphere. Because first three elements
defines center of sphere.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_sphere_radii`
#. :c:func:`glm_sphere_transform`
#. :c:func:`glm_sphere_merge`
#. :c:func:`glm_sphere_sphere`
#. :c:func:`glm_sphere_point`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: float glm_sphere_radii(vec4 s)
| helper for getting sphere radius
Parameters:
| *[in]* **s** sphere
Returns:
returns radii
.. c:function:: void glm_sphere_transform(vec4 s, mat4 m, vec4 dest)
| apply transform to sphere, it is just wrapper for glm_mat4_mulv3
Parameters:
| *[in]* **s** sphere
| *[in]* **m** transform matrix
| *[out]* **dest** transformed sphere
.. c:function:: void glm_sphere_merge(vec4 s1, vec4 s2, vec4 dest)
| merges two spheres and creates a new one
two sphere must be in same space, for instance if one in world space then
the other must be in world space too, not in local space.
Parameters:
| *[in]* **s1** sphere 1
| *[in]* **s2** sphere 2
| *[out]* **dest** merged/extended sphere
.. c:function:: bool glm_sphere_sphere(vec4 s1, vec4 s2)
| check if two sphere intersects
Parameters:
| *[in]* **s1** sphere
| *[in]* **s2** other sphere
.. c:function:: bool glm_sphere_point(vec4 s, vec3 point)
| check if sphere intersects with point
Parameters:
| *[in]* **s** sphere
| *[in]* **point** point
@@ -0,0 +1,12 @@
@media screen {
/* content column
*
* RTD theme's default is 800px as max width for the content, but we have
* tables with tons of columns, which need the full width of the view-port.
*
* Comment from yocto project theme_overrides.css
*/
.wy-nav-content{ max-width: none; }
}
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.. default-domain:: C
Troubleshooting
================================================================================
It is possible that you may sometimes get crashes or wrong results.
Follow these topics
Memory Allocation:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Recall that **cglm** does not alloc any memory on the heap.
cglm functions work like memcpy; they copy data from src,
make calculations, then copy the result to dest.
You are responsible for allocation of **src** and **dest** parameters.
Alignment:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
**vec4** and **mat4** types require 16 byte alignment.
These types are marked with the align attribute to let the compiler know about this
requirement.
Since MSVC (Windows) throws this error:
**"formal parameter with requested alignment of 16 won't be aligned"**
The alignment attribute has been commented out for MSVC
.. code-block:: c
#if defined(_MSC_VER)
# define CGLM_ALIGN(X) /* __declspec(align(X)) */
#else
# define CGLM_ALIGN(X) __attribute((aligned(X)))
#endif.
So MSVC may not know about alignment requirements when creating variables.
The interesting thing is that, if I remember correctly, Visual Studio 2017
doesn't throw the above error. So we may uncomment that line for Visual Studio 2017,
you may do it yourself.
**This MSVC issue is still in TODOs.**
**UPDATE:** Starting with v0.4.5, cglm provides an option to disable the alignment requirement.
Also, alignment is disabled for older msvc versions by default. Now alignment is only required in Visual Studio 2017 version 15.6+ if the CGLM_ALL_UNALIGNED macro is not defined.
Crashes, Invalid Memory Access:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Most likely, you are trying to write to an invalid memory location.
You may have used a wrong function for what you want to do.
For example, you may have called a **glm_vec4_** function for a **vec3** data type.
It will try to write 32 bytes, but since **vec3** is 24 bytes, it should throw
a memory access error or exit the app without saying anything.
**UPDATE - IMPORTANT:**
| On MSVC or some other compilers, if alignment is enabled (default) then double check alignment requirements if you got a crash.
| If you send GLM_VEC4_ONE or similar macros directly to a function, it may crash.
| Because the compiler may not apply alignment as defined on **typedef** to that macro while passing it (on stack) to a function.
Wrong Results:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Again, you may have used a wrong function.
For instance if you use **glm_normalize()** or **glm_vec3_normalize()** for a **vec4**,
it will assume that the passed param is a **vec3**, and will normalize it for **vec3**.
Since you need a **vec4** to be normalized in your case, you will get wrong results.
Accessing a vec4 type with vec3 functions is valid, you will not get any error, exception or crash.
You only get wrong results if you don't know what you are doing!
So be careful, when your IDE (Xcode, Visual Studio ...) tries to autocomplete function names, READ IT :)
**Also implementation may be wrong, please let us know by creating an issue on Github.**
BAD_ACCESS : Thread 1: EXC_BAD_ACCESS (code=EXC_I386_GPFLT) or Similar Errors/Crashes
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
This is a similar issue with alignment. For instance if you compiled **cglm** with
AVX (**-mavx**, intentionally or not) and if you use **cglm** in an environment that doesn't
support AVX (or if AVX is disabled intentionally) e.g. environment that max support SSE2/3/4,
then you probably get **BAD ACCESS** or similar...
Because if you compile **cglm** with AVX it aligns **mat4** with 32 byte boundary,
and your project aligns that as a 16 byte boundary...
Check alignment, supported vector extension, or simd in **cglm** and linked projects...
Other Issues?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
**Please let us know by creating an issue on Github.**
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.. default-domain:: C
utils / helpers
================================================================================
Header: cglm/util.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_sign`
#. :c:func:`glm_signf`
#. :c:func:`glm_rad`
#. :c:func:`glm_deg`
#. :c:func:`glm_make_rad`
#. :c:func:`glm_make_deg`
#. :c:func:`glm_pow2`
#. :c:func:`glm_min`
#. :c:func:`glm_max`
#. :c:func:`glm_clamp`
#. :c:func:`glm_lerp`
#. :c:func:`glm_swapf`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: int glm_sign(int val)
| returns sign of 32 bit integer as +1, -1, 0
| **Important**: It returns 0 for zero input
Parameters:
| *[in]* **val** an integer
Returns:
sign of given number
.. c:function:: float glm_signf(float val)
| returns sign of 32 bit integer as +1.0, -1.0, 0.0
| **Important**: It returns 0.0f for zero input
Parameters:
| *[in]* **val** a float
Returns:
sign of given number
.. c:function:: float glm_rad(float deg)
| convert degree to radians
Parameters:
| *[in]* **deg** angle in degrees
.. c:function:: float glm_deg(float rad)
| convert radians to degree
Parameters:
| *[in]* **rad** angle in radians
.. c:function:: void glm_make_rad(float *degm)
| convert existing degree to radians. this will override degrees value
Parameters:
| *[in, out]* **deg** pointer to angle in degrees
.. c:function:: void glm_make_deg(float *rad)
| convert existing radians to degree. this will override radians value
Parameters:
| *[in, out]* **rad** pointer to angle in radians
.. c:function:: float glm_pow2(float x)
| multiplies given parameter with itself = x * x or powf(x, 2)
Parameters:
| *[in]* **x** value
Returns:
square of a given number
.. c:function:: float glm_min(float a, float b)
| returns minimum of given two values
Parameters:
| *[in]* **a** number 1
| *[in]* **b** number 2
Returns:
minimum value
.. c:function:: float glm_max(float a, float b)
| returns maximum of given two values
Parameters:
| *[in]* **a** number 1
| *[in]* **b** number 2
Returns:
maximum value
.. c:function:: void glm_clamp(float val, float minVal, float maxVal)
constrain a value to lie between two further values
Parameters:
| *[in]* **val** input value
| *[in]* **minVal** minimum value
| *[in]* **maxVal** maximum value
Returns:
clamped value
.. c:function:: float glm_lerp(float from, float to, float t)
linear interpolation between two number
| formula: from + s * (to - from)
Parameters:
| *[in]* **from** from value
| *[in]* **to** to value
| *[in]* **t** interpolant (amount) clamped between 0 and 1
Returns:
interpolated value
.. c:function:: bool glm_eq(float a, float b)
check if two float equal with using EPSILON
Parameters:
| *[in]* **a** a
| *[in]* **b** b
Returns:
true if a and b are equal
.. c:function:: float glm_percent(float from, float to, float current)
percentage of current value between start and end value
Parameters:
| *[in]* **from** from value
| *[in]* **to** to value
| *[in]* **current** value between from and to values
Returns:
percentage of current value
.. c:function:: float glm_percentc(float from, float to, float current)
clamped percentage of current value between start and end value
Parameters:
| *[in]* **from** from value
| *[in]* **to** to value
| *[in]* **current** value between from and to values
Returns:
clamped normalized percent (0-100 in 0-1)
.. c:function:: void glm_swapf(float *a, float *b)
swap two float values
Parameters:
| *[in]* **a** float 1
| *[in]* **b** float 2
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.. default-domain:: C
vec2 extra
==========
Header: cglm/vec2-ext.h
There are some functions are in called in extra header. These are called extra
because they are not used like other functions in vec2.h in the future some of
these functions ma be moved to vec2 header.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_vec2_fill`
#. :c:func:`glm_vec2_eq`
#. :c:func:`glm_vec2_eq_eps`
#. :c:func:`glm_vec2_eq_all`
#. :c:func:`glm_vec2_eqv`
#. :c:func:`glm_vec2_eqv_eps`
#. :c:func:`glm_vec2_max`
#. :c:func:`glm_vec2_min`
#. :c:func:`glm_vec2_isnan`
#. :c:func:`glm_vec2_isinf`
#. :c:func:`glm_vec2_isvalid`
#. :c:func:`glm_vec2_sign`
#. :c:func:`glm_vec2_abs`
#. :c:func:`glm_vec2_fract`
#. :c:func:`glm_vec2_floor`
#. :c:func:`glm_vec2_sqrt`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_vec2_fill(vec2 v, float val)
fill a vector with specified value
Parameters:
| *[in,out]* **dest** destination
| *[in]* **val** value
.. c:function:: bool glm_vec2_eq(vec2 v, float val)
check if vector is equal to value (without epsilon)
Parameters:
| *[in]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_vec2_eq_eps(vec2 v, float val)
check if vector is equal to value (with epsilon)
Parameters:
| *[in]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_vec2_eq_all(vec2 v)
check if vectors members are equal (without epsilon)
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec2_eqv(vec2 v1, vec2 v2)
check if vector is equal to another (without epsilon) vector
Parameters:
| *[in]* **vec** vector 1
| *[in]* **vec** vector 2
.. c:function:: bool glm_vec2_eqv_eps(vec2 v1, vec2 v2)
check if vector is equal to another (with epsilon)
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
.. c:function:: float glm_vec2_max(vec2 v)
max value of vector
Parameters:
| *[in]* **v** vector
.. c:function:: float glm_vec2_min(vec2 v)
min value of vector
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec2_isnan(vec2 v)
| check if one of items is NaN (not a number)
| you should only use this in DEBUG mode or very critical asserts
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec2_isinf(vec2 v)
| check if one of items is INFINITY
| you should only use this in DEBUG mode or very critical asserts
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec2_isvalid(vec2 v)
| check if all items are valid number
| you should only use this in DEBUG mode or very critical asserts
Parameters:
| *[in]* **v** vector
.. c:function:: void glm_vec2_sign(vec2 v, vec2 dest)
get sign of 32 bit float as +1, -1, 0
Parameters:
| *[in]* **v** vector
| *[out]* **dest** sign vector (only keeps signs as -1, 0, -1)
.. c:function:: void glm_vec2_abs(vec2 v, vec2 dest)
absolute value of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector
.. c:function:: void glm_vec2_fract(vec2 v, vec2 dest)
get fractional part of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector
.. c:function:: void glm_vec2_floor(vec2 v, vec2 dest)
floor value of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector
.. c:function:: void glm_vec2_sqrt(vec2 v, vec2 dest)
square root of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector (sqrt(v))
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.. default-domain:: C
vec2
====
Header: cglm/vec2.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_VEC2_ONE_INIT
#. GLM_VEC2_ZERO_INIT
#. GLM_VEC2_ONE
#. GLM_VEC2_ZERO
Functions:
1. :c:func:`glm_vec2`
#. :c:func:`glm_vec2_copy`
#. :c:func:`glm_vec2_zero`
#. :c:func:`glm_vec2_one`
#. :c:func:`glm_vec2_dot`
#. :c:func:`glm_vec2_cross`
#. :c:func:`glm_vec2_norm2`
#. :c:func:`glm_vec2_norm`
#. :c:func:`glm_vec2_add`
#. :c:func:`glm_vec2_adds`
#. :c:func:`glm_vec2_sub`
#. :c:func:`glm_vec2_subs`
#. :c:func:`glm_vec2_mul`
#. :c:func:`glm_vec2_scale`
#. :c:func:`glm_vec2_scale_as`
#. :c:func:`glm_vec2_div`
#. :c:func:`glm_vec2_divs`
#. :c:func:`glm_vec2_addadd`
#. :c:func:`glm_vec2_subadd`
#. :c:func:`glm_vec2_muladd`
#. :c:func:`glm_vec2_muladds`
#. :c:func:`glm_vec2_maxadd`
#. :c:func:`glm_vec2_minadd`
#. :c:func:`glm_vec2_negate`
#. :c:func:`glm_vec2_negate_to`
#. :c:func:`glm_vec2_normalize`
#. :c:func:`glm_vec2_normalize_to`
#. :c:func:`glm_vec2_rotate`
#. :c:func:`glm_vec2_center`
#. :c:func:`glm_vec2_distance2`
#. :c:func:`glm_vec2_distance`
#. :c:func:`glm_vec2_maxv`
#. :c:func:`glm_vec2_minv`
#. :c:func:`glm_vec2_clamp`
#. :c:func:`glm_vec2_lerp`
#. :c:func:`glm_vec2_make`
#. :c:func:`glm_vec2_reflect`
#. :c:func:`glm_vec2_refract`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_vec2(float * v, vec2 dest)
init vec2 using vec3 or vec4
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination
.. c:function:: void glm_vec2_copy(vec2 a, vec2 dest)
copy all members of [a] to [dest]
Parameters:
| *[in]* **a** source
| *[out]* **dest** destination
.. c:function:: void glm_vec2_zero(vec2 v)
makes all members 0.0f (zero)
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec2_one(vec2 v)
makes all members 1.0f (one)
Parameters:
| *[in, out]* **v** vector
.. c:function:: float glm_vec2_dot(vec2 a, vec2 b)
dot product of vec2
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
Returns:
dot product
.. c:function:: void glm_vec2_cross(vec2 a, vec2 b, vec2 d)
cross product of two vector (RH)
| ref: http://allenchou.net/2013/07/cross-product-of-2d-vectors/
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** destination
Returns:
Z component of cross product
.. c:function:: float glm_vec2_norm2(vec2 v)
norm * norm (magnitude) of vector
we can use this func instead of calling norm * norm, because it would call
sqrtf function twice but with this func we can avoid func call, maybe this is
not good name for this func
Parameters:
| *[in]* **v** vector
Returns:
square of norm / magnitude
.. c:function:: float glm_vec2_norm(vec2 vec)
| euclidean norm (magnitude), also called L2 norm
| this will give magnitude of vector in euclidean space
Parameters:
| *[in]* **vec** vector
.. c:function:: void glm_vec2_add(vec2 a, vec2 b, vec2 dest)
add a vector to b vector store result in dest
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
| *[out]* **dest** destination vector
.. c:function:: void glm_vec2_adds(vec2 a, float s, vec2 dest)
add scalar to v vector store result in dest (d = v + vec(s))
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec2_sub(vec2 v1, vec2 v2, vec2 dest)
subtract b vector from a vector store result in dest (d = v1 - v2)
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
| *[out]* **dest** destination vector
.. c:function:: void glm_vec2_subs(vec2 v, float s, vec2 dest)
subtract scalar from v vector store result in dest (d = v - vec(s))
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec2_mul(vec2 a, vec2 b, vec2 d)
multiply two vector (component-wise multiplication)
Parameters:
| *[in]* **a** vector
| *[in]* **b** scalar
| *[out]* **d** result = (a[0] * b[0], a[1] * b[1], a[2] * b[2])
.. c:function:: void glm_vec2_scale(vec2 v, float s, vec2 dest)
multiply/scale vec2 vector with scalar: result = v * s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec2_scale_as(vec2 v, float s, vec2 dest)
make vec2 vector scale as specified: result = unit(v) * s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec2_div(vec2 a, vec2 b, vec2 dest)
div vector with another component-wise division: d = a / b
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** result = (a[0] / b[0], a[1] / b[1], a[2] / b[2])
.. c:function:: void glm_vec2_divs(vec2 v, float s, vec2 dest)
div vector with scalar: d = v / s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** result = (a[0] / s, a[1] / s, a[2] / s])
.. c:function:: void glm_vec2_addadd(vec2 a, vec2 b, vec2 dest)
| add two vectors and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a + b)
.. c:function:: void glm_vec2_subadd(vec2 a, vec2 b, vec2 dest)
| sub two vectors and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a - b)
.. c:function:: void glm_vec2_muladd(vec2 a, vec2 b, vec2 dest)
| mul two vectors and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec2_muladds(vec2 a, float s, vec2 dest)
| mul vector with scalar and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector
| *[in]* **s** scalar
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec2_maxadd(vec2 a, vec2 b, vec2 dest)
| add max of two vector to result/dest
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec2_minadd(vec2 a, vec2 b, vec2 dest)
| add min of two vector to result/dest
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec2_negate(vec2 v)
negate vector components
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec2_negate_to(vec2 v, vec2 dest)
negate vector components and store result in dest
Parameters:
| *[in]* **v** vector
| *[out]* **dest** negated vector
.. c:function:: void glm_vec2_normalize(vec2 v)
normalize vec2 and store result in same vec
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec2_normalize_to(vec2 vec, vec2 dest)
normalize vec2 to dest
Parameters:
| *[in]* **vec** source
| *[out]* **dest** destination
.. c:function:: void glm_vec2_rotate(vec2 v, float angle, vec2 dest)
rotate vec2 around axis by angle using Rodrigues' rotation formula
Parameters:
| *[in]* **v** vector
| *[in]* **axis** axis vector
| *[out]* **dest** destination
.. c:function:: void glm_vec2_center(vec2 v1, vec2 v2, vec2 dest)
find center point of two vector
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
| *[out]* **dest** center point
.. c:function:: float glm_vec2_distance2(vec2 v1, vec2 v2)
squared distance between two vectors
Parameters:
| *[in]* **mat** vector1
| *[in]* **row1** vector2
Returns:
| squared distance (distance * distance)
.. c:function:: float glm_vec2_distance(vec2 v1, vec2 v2)
distance between two vectors
Parameters:
| *[in]* **mat** vector1
| *[in]* **row1** vector2
Returns:
| distance
.. c:function:: void glm_vec2_maxv(vec2 v1, vec2 v2, vec2 dest)
max values of vectors
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
| *[out]* **dest** destination
.. c:function:: void glm_vec2_minv(vec2 v1, vec2 v2, vec2 dest)
min values of vectors
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
| *[out]* **dest** destination
.. c:function:: void glm_vec2_clamp(vec2 v, float minVal, float maxVal)
constrain a value to lie between two further values
Parameters:
| *[in, out]* **v** vector
| *[in]* **minVal** minimum value
| *[in]* **maxVal** maximum value
.. c:function:: void glm_vec2_lerp(vec2 from, vec2 to, float t, vec2 dest)
linear interpolation between two vector
| formula: from + s * (to - from)
Parameters:
| *[in]* **from** from value
| *[in]* **to** to value
| *[in]* **t** interpolant (amount) clamped between 0 and 1
| *[out]* **dest** destination
.. c:function:: void glm_vec2_make(const float * __restrict src, vec2 dest)
Create two dimensional vector from pointer
.. note:: **@src** must contain at least 2 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination vector
.. c:function:: void glm_vec2_reflect(vec2 v, vec2 n, vec2 dest)
Reflection vector using an incident ray and a surface normal
Parameters:
| *[in]* **v** incident vector
| *[in]* **n** *❗️ normalized ❗️* normal vector
| *[out]* **dest** destination: reflection result
.. c:function:: bool glm_vec2_refract(vec2 v, vec2 n, float eta, vec2 dest)
Computes refraction vector for an incident vector and a surface normal.
Calculates the refraction vector based on Snell's law. If total internal reflection
occurs (angle too great given eta), dest is set to zero and returns false.
Otherwise, computes refraction vector, stores it in dest, and returns true.
Parameters:
| *[in]* **v** *❗️ normalized ❗️* incident vector
| *[in]* **n** *❗️ normalized ❗️* normal vector
| *[in]* **eta** ratio of indices of refraction (incident/transmitted)
| *[out]* **dest** refraction vector if refraction occurs; zero vector otherwise
Returns:
returns true if refraction occurs; false if total internal reflection occurs.
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.. default-domain:: C
vec3 extra
==========
Header: cglm/vec3-ext.h
There are some functions are in called in extra header. These are called extra
because they are not used like other functions in vec3.h in the future some of
these functions ma be moved to vec3 header.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_vec3_mulv`
#. :c:func:`glm_vec3_broadcast`
#. :c:func:`glm_vec3_eq`
#. :c:func:`glm_vec3_eq_eps`
#. :c:func:`glm_vec3_eq_all`
#. :c:func:`glm_vec3_eqv`
#. :c:func:`glm_vec3_eqv_eps`
#. :c:func:`glm_vec3_max`
#. :c:func:`glm_vec3_min`
#. :c:func:`glm_vec3_isnan`
#. :c:func:`glm_vec3_isinf`
#. :c:func:`glm_vec3_isvalid`
#. :c:func:`glm_vec3_sign`
#. :c:func:`glm_vec3_abs`
#. :c:func:`glm_vec3_fract`
#. :c:func:`glm_vec3_floor`
#. :c:func:`glm_vec3_sqrt`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_vec3_mulv(vec3 a, vec3 b, vec3 d)
multiplies individual items
Parameters:
| *[in]* **a** vec1
| *[in]* **b** vec2
| *[out]* **d** destination (v1[0] * v2[0], v1[1] * v2[1], v1[2] * v2[2])
.. c:function:: void glm_vec3_broadcast(float val, vec3 d)
fill a vector with specified value
Parameters:
| *[in]* **val** value
| *[out]* **dest** destination
.. c:function:: void glm_vec3_fill(vec3 v, float val)
fill a vector with specified value
Parameters:
| *[out]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_vec3_eq(vec3 v, float val)
check if vector is equal to value (without epsilon)
Parameters:
| *[in]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_vec3_eq_eps(vec3 v, float val)
check if vector is equal to value (with epsilon)
Parameters:
| *[in]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_vec3_eq_all(vec3 v)
check if vectors members are equal (without epsilon)
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec3_eqv(vec3 v1, vec3 v2)
check if vector is equal to another (without epsilon) vector
Parameters:
| *[in]* **vec** vector 1
| *[in]* **vec** vector 2
.. c:function:: bool glm_vec3_eqv_eps(vec3 v1, vec3 v2)
check if vector is equal to another (with epsilon)
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
.. c:function:: float glm_vec3_max(vec3 v)
max value of vector
Parameters:
| *[in]* **v** vector
.. c:function:: float glm_vec3_min(vec3 v)
min value of vector
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec3_isnan(vec3 v)
| check if one of items is NaN (not a number)
| you should only use this in DEBUG mode or very critical asserts
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec3_isinf(vec3 v)
| check if one of items is INFINITY
| you should only use this in DEBUG mode or very critical asserts
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec3_isvalid(vec3 v)
| check if all items are valid number
| you should only use this in DEBUG mode or very critical asserts
Parameters:
| *[in]* **v** vector
.. c:function:: void glm_vec3_sign(vec3 v, vec3 dest)
get sign of 32 bit float as +1, -1, 0
Parameters:
| *[in]* **v** vector
| *[out]* **dest** sign vector (only keeps signs as -1, 0, -1)
.. c:function:: void glm_vec3_abs(vec3 v, vec3 dest)
absolute value of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector
.. c:function:: void glm_vec3_fract(vec3 v, vec3 dest)
fractional part of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector
.. c:function:: void glm_vec3_floor(vec3 v, vec3 dest)
floor of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector
.. c:function:: void glm_vec3_sqrt(vec3 v, vec3 dest)
square root of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector (sqrt(v))
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.. default-domain:: C
vec3
====
Header: cglm/vec3.h
**Important:** *cglm* was used **glm_vec_** namespace for vec3 functions until
**v0.5.0**, since **v0.5.0** cglm uses **glm_vec3_** namespace for vec3.
Also `glm_vec3_flipsign` has been renamed to `glm_vec3_negate`
We mostly use vectors in graphics math, to make writing code faster
and easy to read, some *vec3* functions are aliased in global namespace.
For instance :c:func:`glm_dot` is alias of :c:func:`glm_vec3_dot`,
alias means inline wrapper here. There is no call version of alias functions
There are also functions for rotating *vec3* vector. **_m4**, **_m3** prefixes
rotate *vec3* with matrix.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. glm_vec3_dup(v, dest)
#. GLM_VEC3_ONE_INIT
#. GLM_VEC3_ZERO_INIT
#. GLM_VEC3_ONE
#. GLM_VEC3_ZERO
#. GLM_YUP
#. GLM_ZUP
#. GLM_XUP
Functions:
1. :c:func:`glm_vec3`
#. :c:func:`glm_vec3_copy`
#. :c:func:`glm_vec3_zero`
#. :c:func:`glm_vec3_one`
#. :c:func:`glm_vec3_dot`
#. :c:func:`glm_vec3_norm2`
#. :c:func:`glm_vec3_norm`
#. :c:func:`glm_vec3_add`
#. :c:func:`glm_vec3_adds`
#. :c:func:`glm_vec3_sub`
#. :c:func:`glm_vec3_subs`
#. :c:func:`glm_vec3_mul`
#. :c:func:`glm_vec3_scale`
#. :c:func:`glm_vec3_scale_as`
#. :c:func:`glm_vec3_div`
#. :c:func:`glm_vec3_divs`
#. :c:func:`glm_vec3_addadd`
#. :c:func:`glm_vec3_subadd`
#. :c:func:`glm_vec3_muladd`
#. :c:func:`glm_vec3_muladds`
#. :c:func:`glm_vec3_maxadd`
#. :c:func:`glm_vec3_minadd`
#. :c:func:`glm_vec3_flipsign`
#. :c:func:`glm_vec3_flipsign_to`
#. :c:func:`glm_vec3_inv`
#. :c:func:`glm_vec3_inv_to`
#. :c:func:`glm_vec3_negate`
#. :c:func:`glm_vec3_negate_to`
#. :c:func:`glm_vec3_normalize`
#. :c:func:`glm_vec3_normalize_to`
#. :c:func:`glm_vec3_cross`
#. :c:func:`glm_vec3_crossn`
#. :c:func:`glm_vec3_distance2`
#. :c:func:`glm_vec3_distance`
#. :c:func:`glm_vec3_angle`
#. :c:func:`glm_vec3_rotate`
#. :c:func:`glm_vec3_rotate_m4`
#. :c:func:`glm_vec3_rotate_m3`
#. :c:func:`glm_vec3_proj`
#. :c:func:`glm_vec3_center`
#. :c:func:`glm_vec3_maxv`
#. :c:func:`glm_vec3_minv`
#. :c:func:`glm_vec3_ortho`
#. :c:func:`glm_vec3_clamp`
#. :c:func:`glm_vec3_lerp`
#. :c:func:`glm_vec3_make`
#. :c:func:`glm_vec3_faceforward`
#. :c:func:`glm_vec3_reflect`
#. :c:func:`glm_vec3_refract`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_vec3(vec4 v4, vec3 dest)
init vec3 using vec4
Parameters:
| *[in]* **v4** vector4
| *[out]* **dest** destination
.. c:function:: void glm_vec3_copy(vec3 a, vec3 dest)
copy all members of [a] to [dest]
Parameters:
| *[in]* **a** source
| *[out]* **dest** destination
.. c:function:: void glm_vec3_zero(vec3 v)
makes all members 0.0f (zero)
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec3_one(vec3 v)
makes all members 1.0f (one)
Parameters:
| *[in, out]* **v** vector
.. c:function:: float glm_vec3_dot(vec3 a, vec3 b)
dot product of vec3
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
Returns:
dot product
.. c:function:: void glm_vec3_cross(vec3 a, vec3 b, vec3 d)
cross product of two vector (RH)
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** destination
.. c:function:: void glm_vec3_crossn(vec3 a, vec3 b, vec3 dest)
cross product of two vector (RH) and normalize the result
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** destination
.. c:function:: float glm_vec3_norm2(vec3 v)
norm * norm (magnitude) of vector
we can use this func instead of calling norm * norm, because it would call
sqrtf function twice but with this func we can avoid func call, maybe this is
not good name for this func
Parameters:
| *[in]* **v** vector
Returns:
square of norm / magnitude
.. c:function:: float glm_vec3_norm(vec3 vec)
| euclidean norm (magnitude), also called L2 norm
| this will give magnitude of vector in euclidean space
Parameters:
| *[in]* **vec** vector
.. c:function:: void glm_vec3_add(vec3 a, vec3 b, vec3 dest)
add a vector to b vector store result in dest
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
| *[out]* **dest** destination vector
.. c:function:: void glm_vec3_adds(vec3 a, float s, vec3 dest)
add scalar to v vector store result in dest (d = v + vec(s))
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec3_sub(vec3 v1, vec3 v2, vec3 dest)
subtract b vector from a vector store result in dest (d = v1 - v2)
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
| *[out]* **dest** destination vector
.. c:function:: void glm_vec3_subs(vec3 v, float s, vec3 dest)
subtract scalar from v vector store result in dest (d = v - vec(s))
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec3_mul(vec3 a, vec3 b, vec3 d)
multiply two vector (component-wise multiplication)
Parameters:
| *[in]* **a** vector
| *[in]* **b** scalar
| *[out]* **d** result = (a[0] * b[0], a[1] * b[1], a[2] * b[2])
.. c:function:: void glm_vec3_scale(vec3 v, float s, vec3 dest)
multiply/scale vec3 vector with scalar: result = v * s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec3_scale_as(vec3 v, float s, vec3 dest)
make vec3 vector scale as specified: result = unit(v) * s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec3_div(vec3 a, vec3 b, vec3 dest)
div vector with another component-wise division: d = a / b
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** result = (a[0] / b[0], a[1] / b[1], a[2] / b[2])
.. c:function:: void glm_vec3_divs(vec3 v, float s, vec3 dest)
div vector with scalar: d = v / s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** result = (a[0] / s, a[1] / s, a[2] / s])
.. c:function:: void glm_vec3_addadd(vec3 a, vec3 b, vec3 dest)
| add two vectors and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a + b)
.. c:function:: void glm_vec3_subadd(vec3 a, vec3 b, vec3 dest)
| sub two vectors and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a - b)
.. c:function:: void glm_vec3_muladd(vec3 a, vec3 b, vec3 dest)
| mul two vectors and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec3_muladds(vec3 a, float s, vec3 dest)
| mul vector with scalar and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector
| *[in]* **s** scalar
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec3_maxadd(vec3 a, vec3 b, vec3 dest)
| add max of two vector to result/dest
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec3_minadd(vec3 a, vec3 b, vec3 dest)
| add min of two vector to result/dest
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec3_flipsign(vec3 v)
**DEPRECATED!**
use :c:func:`glm_vec3_negate`
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec3_flipsign_to(vec3 v, vec3 dest)
**DEPRECATED!**
use :c:func:`glm_vec3_negate_to`
Parameters:
| *[in]* **v** vector
| *[out]* **dest** negated vector
.. c:function:: void glm_vec3_inv(vec3 v)
**DEPRECATED!**
use :c:func:`glm_vec3_negate`
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec3_inv_to(vec3 v, vec3 dest)
**DEPRECATED!**
use :c:func:`glm_vec3_negate_to`
Parameters:
| *[in]* **v** source
| *[out]* **dest** destination
.. c:function:: void glm_vec3_negate(vec3 v)
negate vector components
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec3_negate_to(vec3 v, vec3 dest)
negate vector components and store result in dest
Parameters:
| *[in]* **v** vector
| *[out]* **dest** negated vector
.. c:function:: void glm_vec3_normalize(vec3 v)
normalize vec3 and store result in same vec
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec3_normalize_to(vec3 vec, vec3 dest)
normalize vec3 to dest
Parameters:
| *[in]* **vec** source
| *[out]* **dest** destination
.. c:function:: float glm_vec3_angle(vec3 v1, vec3 v2)
angle between two vector
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
Return:
| angle as radians
.. c:function:: void glm_vec3_rotate(vec3 v, float angle, vec3 axis)
rotate vec3 around axis by angle using Rodrigues' rotation formula
Parameters:
| *[in, out]* **v** vector
| *[in]* **axis** axis vector (will be normalized)
| *[in]* **angle** angle (radians)
.. c:function:: void glm_vec3_rotate_m4(mat4 m, vec3 v, vec3 dest)
apply rotation matrix to vector
Parameters:
| *[in]* **m** affine matrix or rot matrix
| *[in]* **v** vector
| *[out]* **dest** rotated vector
.. c:function:: void glm_vec3_rotate_m3(mat3 m, vec3 v, vec3 dest)
apply rotation matrix to vector
Parameters:
| *[in]* **m** affine matrix or rot matrix
| *[in]* **v** vector
| *[out]* **dest** rotated vector
.. c:function:: void glm_vec3_proj(vec3 a, vec3 b, vec3 dest)
project a vector onto b vector
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
| *[out]* **dest** projected vector
.. c:function:: void glm_vec3_center(vec3 v1, vec3 v2, vec3 dest)
find center point of two vector
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
| *[out]* **dest** center point
.. c:function:: float glm_vec3_distance2(vec3 v1, vec3 v2)
squared distance between two vectors
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
Returns:
| squared distance (distance * distance)
.. c:function:: float glm_vec3_distance(vec3 v1, vec3 v2)
distance between two vectors
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
Returns:
| distance
.. c:function:: void glm_vec3_maxv(vec3 v1, vec3 v2, vec3 dest)
max values of vectors
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
| *[out]* **dest** destination
.. c:function:: void glm_vec3_minv(vec3 v1, vec3 v2, vec3 dest)
min values of vectors
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
| *[out]* **dest** destination
.. c:function:: void glm_vec3_ortho(vec3 v, vec3 dest)
possible orthogonal/perpendicular vector
References:
* `On picking an orthogonal vector (and combing coconuts) <http://lolengine.net/blog/2013/09/21/picking-orthogonal-vector-combing-coconuts>`_
Parameters:
| *[in]* **v** vector
| *[out]* **dest** orthogonal/perpendicular vector
.. c:function:: void glm_vec3_clamp(vec3 v, float minVal, float maxVal)
constrain a value to lie between two further values
Parameters:
| *[in, out]* **v** vector
| *[in]* **minVal** minimum value
| *[in]* **maxVal** maximum value
.. c:function:: void glm_vec3_lerp(vec3 from, vec3 to, float t, vec3 dest)
linear interpolation between two vector
| formula: from + s * (to - from)
Parameters:
| *[in]* **from** from value
| *[in]* **to** to value
| *[in]* **t** interpolant (amount) clamped between 0 and 1
| *[out]* **dest** destination
.. c:function:: void glm_vec3_make(const float * __restrict src, vec3 dest)
Create three dimensional vector from pointer
.. note::: **@src** must contain at least 3 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination vector
.. c:function:: void glm_vec3_faceforward(vec3 n, vec3 v, vec3 nref, vec3 dest)
A vector pointing in the same direction as another
Parameters:
| *[in]* **n** vector to orient
| *[in]* **v** incident vector
| *[in]* **nref** reference vector
| *[out]* **dest** destination: oriented vector, pointing away from the surface.
.. c:function:: void glm_vec3_reflect(vec3 v, vec3 n, vec3 dest)
Reflection vector using an incident ray and a surface normal
Parameters:
| *[in]* **v** incident vector
| *[in]* **n** *❗️ normalized ❗️* normal vector
| *[out]* **dest** destination: reflection result
.. c:function:: bool glm_vec3_refract(vec3 v, vec3 n, float eta, vec3 dest)
Computes refraction vector for an incident vector and a surface normal.
Calculates the refraction vector based on Snell's law. If total internal reflection
occurs (angle too great given eta), dest is set to zero and returns false.
Otherwise, computes refraction vector, stores it in dest, and returns true.
Parameters:
| *[in]* **v** *❗️ normalized ❗️* incident vector
| *[in]* **n** *❗️ normalized ❗️* normal vector
| *[in]* **eta** ratio of indices of refraction (incident/transmitted)
| *[out]* **dest** refraction vector if refraction occurs; zero vector otherwise
Returns:
returns true if refraction occurs; false if total internal reflection occurs.
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.. default-domain:: C
vec4 extra
==========
Header: cglm/vec4-ext.h
There are some functions are in called in extra header. These are called extra
because they are not used like other functions in vec4.h in the future some of
these functions ma be moved to vec4 header.
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Functions:
1. :c:func:`glm_vec4_mulv`
#. :c:func:`glm_vec4_broadcast`
#. :c:func:`glm_vec4_eq`
#. :c:func:`glm_vec4_eq_eps`
#. :c:func:`glm_vec4_eq_all`
#. :c:func:`glm_vec4_eqv`
#. :c:func:`glm_vec4_eqv_eps`
#. :c:func:`glm_vec4_max`
#. :c:func:`glm_vec4_min`
#. :c:func:`glm_vec4_isnan`
#. :c:func:`glm_vec4_isinf`
#. :c:func:`glm_vec4_isvalid`
#. :c:func:`glm_vec4_sign`
#. :c:func:`glm_vec4_abs`
#. :c:func:`glm_vec4_fract`
#. :c:func:`glm_vec4_floor`
#. :c:func:`glm_vec4_sqrt`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_vec4_mulv(vec4 a, vec4 b, vec4 d)
multiplies individual items
Parameters:
| *[in]* **a** vec1
| *[in]* **b** vec2
| *[out]* **d** destination
.. c:function:: void glm_vec4_broadcast(float val, vec4 d)
fill a vector with specified value
Parameters:
| *[in]* **val** value
| *[out]* **dest** destination
.. c:function:: bool glm_vec4_eq(vec4 v, float val)
check if vector is equal to value (without epsilon)
Parameters:
| *[in]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_vec4_eq_eps(vec4 v, float val)
check if vector is equal to value (with epsilon)
Parameters:
| *[in]* **v** vector
| *[in]* **val** value
.. c:function:: bool glm_vec4_eq_all(vec4 v)
check if vectors members are equal (without epsilon)
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec4_eqv(vec4 v1, vec4 v2)
check if vector is equal to another (without epsilon) vector
Parameters:
| *[in]* **vec** vector 1
| *[in]* **vec** vector 2
.. c:function:: bool glm_vec4_eqv_eps(vec4 v1, vec4 v2)
check if vector is equal to another (with epsilon)
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
.. c:function:: float glm_vec4_max(vec4 v)
max value of vector
Parameters:
| *[in]* **v** vector
.. c:function:: float glm_vec4_min(vec4 v)
min value of vector
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec4_isnan(vec4 v)
| check if one of items is NaN (not a number)
| you should only use this in DEBUG mode or very critical asserts
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec4_isinf(vec4 v)
| check if one of items is INFINITY
| you should only use this in DEBUG mode or very critical asserts
Parameters:
| *[in]* **v** vector
.. c:function:: bool glm_vec4_isvalid(vec4 v)
| check if all items are valid number
| you should only use this in DEBUG mode or very critical asserts
Parameters:
| *[in]* **v** vector
.. c:function:: void glm_vec4_sign(vec4 v, vec4 dest)
get sign of 32 bit float as +1, -1, 0
Parameters:
| *[in]* **v** vector
| *[out]* **dest** sign vector (only keeps signs as -1, 0, -1)
.. c:function:: void glm_vec4_abs(vec4 v, vec4 dest)
absolute value of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector (abs(v))
.. c:function:: void glm_vec4_fract(vec4 v, vec4 dest)
fractional part of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector (fract(v))
.. c:function:: void glm_vec4_floor(vec4 v, vec4 dest)
floor of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector (floor(v))
.. c:function:: void glm_vec4_sqrt(vec4 v, vec4 dest)
square root of each vector item
Parameters:
| *[in]* **v** vector
| *[out]* **dest** destination vector (sqrt(v))
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.. default-domain:: C
vec4
====
Header: cglm/vec4.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. glm_vec4_dup3(v, dest)
#. glm_vec4_dup(v, dest)
#. GLM_VEC4_ONE_INIT
#. GLM_VEC4_BLACK_INIT
#. GLM_VEC4_ZERO_INIT
#. GLM_VEC4_ONE
#. GLM_VEC4_BLACK
#. GLM_VEC4_ZERO
Functions:
1. :c:func:`glm_vec4`
#. :c:func:`glm_vec4_copy3`
#. :c:func:`glm_vec4_copy`
#. :c:func:`glm_vec4_ucopy`
#. :c:func:`glm_vec4_zero`
#. :c:func:`glm_vec4_one`
#. :c:func:`glm_vec4_dot`
#. :c:func:`glm_vec4_norm2`
#. :c:func:`glm_vec4_norm`
#. :c:func:`glm_vec4_add`
#. :c:func:`glm_vec4_adds`
#. :c:func:`glm_vec4_sub`
#. :c:func:`glm_vec4_subs`
#. :c:func:`glm_vec4_mul`
#. :c:func:`glm_vec4_scale`
#. :c:func:`glm_vec4_scale_as`
#. :c:func:`glm_vec4_div`
#. :c:func:`glm_vec4_divs`
#. :c:func:`glm_vec4_addadd`
#. :c:func:`glm_vec4_subadd`
#. :c:func:`glm_vec4_muladd`
#. :c:func:`glm_vec4_muladds`
#. :c:func:`glm_vec4_maxadd`
#. :c:func:`glm_vec4_minadd`
#. :c:func:`glm_vec4_flipsign`
#. :c:func:`glm_vec4_flipsign_to`
#. :c:func:`glm_vec4_inv`
#. :c:func:`glm_vec4_inv_to`
#. :c:func:`glm_vec4_negate`
#. :c:func:`glm_vec4_negate_to`
#. :c:func:`glm_vec4_normalize`
#. :c:func:`glm_vec4_normalize_to`
#. :c:func:`glm_vec4_distance`
#. :c:func:`glm_vec4_maxv`
#. :c:func:`glm_vec4_minv`
#. :c:func:`glm_vec4_clamp`
#. :c:func:`glm_vec4_lerp`
#. :c:func:`glm_vec4_cubic`
#. :c:func:`glm_vec4_make`
#. :c:func:`glm_vec4_reflect`
#. :c:func:`glm_vec4_refract`
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_vec4(vec3 v3, float last, vec4 dest)
init vec4 using vec3, since you are initializing vec4 with vec3
you need to set last item. cglm could set it zero but making it parameter
gives more control
Parameters:
| *[in]* **v3** vector4
| *[in]* **last** last item of vec4
| *[out]* **dest** destination
.. c:function:: void glm_vec4_copy3(vec4 a, vec3 dest)
copy first 3 members of [a] to [dest]
Parameters:
| *[in]* **a** source
| *[out]* **dest** destination
.. c:function:: void glm_vec4_copy(vec4 v, vec4 dest)
copy all members of [a] to [dest]
Parameters:
| *[in]* **v** source
| *[in]* **dest** destination
.. c:function:: void glm_vec4_ucopy(vec4 v, vec4 dest)
copy all members of [a] to [dest]
| alignment is not required
Parameters:
| *[in]* **v** source
| *[in]* **dest** destination
.. c:function:: void glm_vec4_zero(vec4 v)
makes all members zero
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec4_one(vec4 v)
makes all members one
Parameters:
| *[in, out]* **v** vector
.. c:function:: float glm_vec4_dot(vec4 a, vec4 b)
dot product of vec4
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
Returns:
dot product
.. c:function:: float glm_vec4_norm2(vec4 v)
norm * norm (magnitude) of vector
we can use this func instead of calling norm * norm, because it would call
sqrtf function twice but with this func we can avoid func call, maybe this is
not good name for this func
Parameters:
| *[in]* **v** vector
Returns:
square of norm / magnitude
.. c:function:: float glm_vec4_norm(vec4 vec)
| euclidean norm (magnitude), also called L2 norm
| this will give magnitude of vector in euclidean space
Parameters:
| *[in]* **vec** vector
.. c:function:: void glm_vec4_add(vec4 a, vec4 b, vec4 dest)
add a vector to b vector store result in dest
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
| *[out]* **dest** destination vector
.. c:function:: void glm_vec4_adds(vec4 v, float s, vec4 dest)
add scalar to v vector store result in dest (d = v + vec(s))
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec4_sub(vec4 a, vec4 b, vec4 dest)
subtract b vector from a vector store result in dest (d = v1 - v2)
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
| *[out]* **dest** destination vector
.. c:function:: void glm_vec4_subs(vec4 v, float s, vec4 dest)
subtract scalar from v vector store result in dest (d = v - vec(s))
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec4_mul(vec4 a, vec4 b, vec4 d)
multiply two vector (component-wise multiplication)
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
| *[out]* **dest** result = (a[0] * b[0], a[1] * b[1], a[2] * b[2], a[3] * b[3])
.. c:function:: void glm_vec4_scale(vec4 v, float s, vec4 dest)
multiply/scale vec4 vector with scalar: result = v * s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec4_scale_as(vec4 v, float s, vec4 dest)
make vec4 vector scale as specified: result = unit(v) * s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** destination vector
.. c:function:: void glm_vec4_div(vec4 a, vec4 b, vec4 dest)
div vector with another component-wise division: d = v1 / v2
Parameters:
| *[in]* **a** vector1
| *[in]* **b** vector2
| *[out]* **dest** result = (a[0] / b[0], a[1] / b[1], a[2] / b[2], a[3] / b[3])
.. c:function:: void glm_vec4_divs(vec4 v, float s, vec4 dest)
div vector with scalar: d = v / s
Parameters:
| *[in]* **v** vector
| *[in]* **s** scalar
| *[out]* **dest** result = (a[0] / s, a[1] / s, a[2] / s, a[3] / s)
.. c:function:: void glm_vec4_addadd(vec4 a, vec4 b, vec4 dest)
| add two vectors and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a + b)
.. c:function:: void glm_vec4_subadd(vec4 a, vec4 b, vec4 dest)
| sub two vectors and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a - b)
.. c:function:: void glm_vec4_muladd(vec4 a, vec4 b, vec4 dest)
| mul two vectors and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec4_muladds(vec4 a, float s, vec4 dest)
| mul vector with scalar and add result to sum
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector
| *[in]* **s** scalar
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec4_maxadd(vec4 a, vec4 b, vec4 dest)
| add max of two vector to result/dest
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec4_minadd(vec4 a, vec4 b, vec4 dest)
| add min of two vector to result/dest
| it applies += operator so dest must be initialized
Parameters:
| *[in]* **a** vector 1
| *[in]* **b** vector 2
| *[out]* **dest** dest += (a * b)
.. c:function:: void glm_vec4_flipsign(vec4 v)
**DEPRECATED!**
use :c:func:`glm_vec4_negate`
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec4_flipsign_to(vec4 v, vec4 dest)
**DEPRECATED!**
use :c:func:`glm_vec4_negate_to`
Parameters:
| *[in]* **v** vector
| *[out]* **dest** negated vector
.. c:function:: void glm_vec4_inv(vec4 v)
**DEPRECATED!**
use :c:func:`glm_vec4_negate`
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec4_inv_to(vec4 v, vec4 dest)
**DEPRECATED!**
use :c:func:`glm_vec4_negate_to`
Parameters:
| *[in]* **v** source
| *[out]* **dest** destination
.. c:function:: void glm_vec4_negate(vec4 v)
negate vector components
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec4_negate_to(vec4 v, vec4 dest)
negate vector components and store result in dest
Parameters:
| *[in]* **v** vector
| *[out]* **dest** negated vector
.. c:function:: void glm_vec4_normalize(vec4 v)
normalize vec4 and store result in same vec
Parameters:
| *[in, out]* **v** vector
.. c:function:: void glm_vec4_normalize_to(vec4 vec, vec4 dest)
normalize vec4 to dest
Parameters:
| *[in]* **vec** source
| *[out]* **dest** destination
.. c:function:: float glm_vec4_distance(vec4 v1, vec4 v2)
distance between two vectors
Parameters:
| *[in]* **mat** vector1
| *[in]* **row1** vector2
Returns:
| distance
.. c:function:: void glm_vec4_maxv(vec4 v1, vec4 v2, vec4 dest)
max values of vectors
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
| *[out]* **dest** destination
.. c:function:: void glm_vec4_minv(vec4 v1, vec4 v2, vec4 dest)
min values of vectors
Parameters:
| *[in]* **v1** vector1
| *[in]* **v2** vector2
| *[out]* **dest** destination
.. c:function:: void glm_vec4_clamp(vec4 v, float minVal, float maxVal)
constrain a value to lie between two further values
Parameters:
| *[in, out]* **v** vector
| *[in]* **minVal** minimum value
| *[in]* **maxVal** maximum value
.. c:function:: void glm_vec4_lerp(vec4 from, vec4 to, float t, vec4 dest)
linear interpolation between two vector
| formula: from + s * (to - from)
Parameters:
| *[in]* **from** from value
| *[in]* **to** to value
| *[in]* **t** interpolant (amount) clamped between 0 and 1
| *[out]* **dest** destination
.. c:function:: void glm_vec4_cubic(float s, vec4 dest)
helper to fill vec4 as [S^3, S^2, S, 1]
Parameters:
| *[in]* **s** parameter
| *[out]* **dest** destination
.. c:function:: void glm_vec4_make(const float * __restrict src, vec4 dest)
Create four dimensional vector from pointer
.. note:: **@src** must contain at least 4 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination vector
.. c:function:: bool glm_vec4_reflect(vec4 v, vec4 n, vec4 dest)
Reflection vector using an incident ray and a surface normal
Parameters:
| *[in]* **v** incident vector
| *[in]* **n** *❗️ normalized ❗️* normal vector
| *[out]* **dest** destination: reflection result
.. c:function:: bool glm_vec4_refract(vec4 v, vec4 n, float eta, vec4 dest)
computes refraction vector for an incident vector and a surface normal.
Calculates the refraction vector based on Snell's law. If total internal reflection
occurs (angle too great given eta), dest is set to zero and returns false.
Otherwise, computes refraction vector, stores it in dest, and returns true.
This implementation does not explicitly preserve the 'w' component of the
incident vector 'I' in the output 'dest', users requiring the preservation of
the 'w' component should manually adjust 'dest' after calling this function.
Parameters:
| *[in]* **v** *❗️ normalized ❗️* incident vector
| *[in]* **n** *❗️ normalized ❗️* normal vector
| *[in]* **eta** ratio of indices of refraction (incident/transmitted)
| *[out]* **dest** refraction vector if refraction occurs; zero vector otherwise
Returns:
returns true if refraction occurs; false if total internal reflection occurs.
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.. default-domain:: C
version
================================================================================
Header: cglm/version.h
**cglm** uses semantic versioning (http://semver.org) which is MAJOR.MINOR.PATCH
| **CGLM_VERSION_MAJOR** is major number of the version.
| **CGLM_VERSION_MINOR** is minor number of the version.
| **CGLM_VERSION_PATCH** is patch number of the version.
every release increases these numbers. You can check existing version by
including `cglm/version.h`
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglm_aabb2d_h
#define cglm_aabb2d_h
#include "common.h"
#include "vec2.h"
#include "util.h"
/* DEPRECATED! use _diag */
#define glm_aabb2d_size(aabb) glm_aabb2d_diag(aabb)
/*!
* @brief make [aabb] zero
*
* @param[in, out] aabb aabb
*/
CGLM_INLINE
void
glm_aabb2d_zero(vec2 aabb[2]) {
glm_vec2_zero(aabb[0]);
glm_vec2_zero(aabb[1]);
}
/*!
* @brief copy all members of [aabb] to [dest]
*
* @param[in] aabb source
* @param[out] dest destination
*/
CGLM_INLINE
void
glm_aabb2d_copy(vec2 aabb[2], vec2 dest[2]) {
glm_vec2_copy(aabb[0], dest[0]);
glm_vec2_copy(aabb[1], dest[1]);
}
/*!
* @brief apply transform to Axis-Aligned Bounding aabb
*
* @param[in] aabb bounding aabb
* @param[in] m transform matrix
* @param[out] dest transformed bounding aabb
*/
CGLM_INLINE
void
glm_aabb2d_transform(vec2 aabb[2], mat3 m, vec2 dest[2]) {
vec2 v[2], xa, xb, ya, yb;
glm_vec2_scale(m[0], aabb[0][0], xa);
glm_vec2_scale(m[0], aabb[1][0], xb);
glm_vec2_scale(m[1], aabb[0][1], ya);
glm_vec2_scale(m[1], aabb[1][1], yb);
/* translation + min(xa, xb) + min(ya, yb) */
glm_vec2(m[2], v[0]);
glm_vec2_minadd(xa, xb, v[0]);
glm_vec2_minadd(ya, yb, v[0]);
/* translation + max(xa, xb) + max(ya, yb) */
glm_vec2(m[2], v[1]);
glm_vec2_maxadd(xa, xb, v[1]);
glm_vec2_maxadd(ya, yb, v[1]);
glm_vec2_copy(v[0], dest[0]);
glm_vec2_copy(v[1], dest[1]);
}
/*!
* @brief merges two AABB bounding aabb and creates new one
*
* two aabb must be in same space, if one of aabb is in different space then
* you should consider to convert it's space by glm_aabb_space
*
* @param[in] aabb1 bounding aabb 1
* @param[in] aabb2 bounding aabb 2
* @param[out] dest merged bounding aabb
*/
CGLM_INLINE
void
glm_aabb2d_merge(vec2 aabb1[2], vec2 aabb2[2], vec2 dest[2]) {
dest[0][0] = glm_min(aabb1[0][0], aabb2[0][0]);
dest[0][1] = glm_min(aabb1[0][1], aabb2[0][1]);
dest[1][0] = glm_max(aabb1[1][0], aabb2[1][0]);
dest[1][1] = glm_max(aabb1[1][1], aabb2[1][1]);
}
/*!
* @brief crops a bounding aabb with another one.
*
* this could be useful for getting a baabb which fits with view frustum and
* object bounding aabbes. In this case you crop view frustum aabb with objects
* aabb
*
* @param[in] aabb bounding aabb 1
* @param[in] cropAabb crop aabb
* @param[out] dest cropped bounding aabb
*/
CGLM_INLINE
void
glm_aabb2d_crop(vec2 aabb[2], vec2 cropAabb[2], vec2 dest[2]) {
dest[0][0] = glm_max(aabb[0][0], cropAabb[0][0]);
dest[0][1] = glm_max(aabb[0][1], cropAabb[0][1]);
dest[1][0] = glm_min(aabb[1][0], cropAabb[1][0]);
dest[1][1] = glm_min(aabb[1][1], cropAabb[1][1]);
}
/*!
* @brief crops a bounding aabb with another one.
*
* this could be useful for getting a baabb which fits with view frustum and
* object bounding aabbes. In this case you crop view frustum aabb with objects
* aabb
*
* @param[in] aabb bounding aabb
* @param[in] cropAabb crop aabb
* @param[in] clampAabb minimum aabb
* @param[out] dest cropped bounding aabb
*/
CGLM_INLINE
void
glm_aabb2d_crop_until(vec2 aabb[2],
vec2 cropAabb[2],
vec2 clampAabb[2],
vec2 dest[2]) {
glm_aabb2d_crop(aabb, cropAabb, dest);
glm_aabb2d_merge(clampAabb, dest, dest);
}
/*!
* @brief invalidate AABB min and max values
*
* @param[in, out] aabb bounding aabb
*/
CGLM_INLINE
void
glm_aabb2d_invalidate(vec2 aabb[2]) {
glm_vec2_fill(aabb[0], FLT_MAX);
glm_vec2_fill(aabb[1], -FLT_MAX);
}
/*!
* @brief check if AABB is valid or not
*
* @param[in] aabb bounding aabb
*/
CGLM_INLINE
bool
glm_aabb2d_isvalid(vec2 aabb[2]) {
return glm_vec2_max(aabb[0]) != FLT_MAX
&& glm_vec2_min(aabb[1]) != -FLT_MAX;
}
/*!
* @brief distance between of min and max
*
* @param[in] aabb bounding aabb
*/
CGLM_INLINE
float
glm_aabb2d_diag(vec2 aabb[2]) {
return glm_vec2_distance(aabb[0], aabb[1]);
}
/*!
* @brief size of aabb
*
* @param[in] aabb bounding aabb
* @param[out] dest size
*/
CGLM_INLINE
void
glm_aabb2d_sizev(vec2 aabb[2], vec2 dest) {
glm_vec2_sub(aabb[1], aabb[0], dest);
}
/*!
* @brief radius of sphere which surrounds AABB
*
* @param[in] aabb bounding aabb
*/
CGLM_INLINE
float
glm_aabb2d_radius(vec2 aabb[2]) {
return glm_aabb2d_diag(aabb) * 0.5f;
}
/*!
* @brief computes center point of AABB
*
* @param[in] aabb bounding aabb
* @param[out] dest center of bounding aabb
*/
CGLM_INLINE
void
glm_aabb2d_center(vec2 aabb[2], vec2 dest) {
glm_vec2_center(aabb[0], aabb[1], dest);
}
/*!
* @brief check if two AABB intersects
*
* @param[in] aabb bounding aabb
* @param[in] other other bounding aabb
*/
CGLM_INLINE
bool
glm_aabb2d_aabb(vec2 aabb[2], vec2 other[2]) {
return (aabb[0][0] <= other[1][0] && aabb[1][0] >= other[0][0])
&& (aabb[0][1] <= other[1][1] && aabb[1][1] >= other[0][1]);
}
/*!
* @brief check if AABB intersects with a circle
*
* Circle Representation in cglm: [center.x, center.y, radii]
*
* @param[in] aabb solid bounding aabb
* @param[in] c solid circle
*/
CGLM_INLINE
bool
glm_aabb2d_circle(vec2 aabb[2], vec3 c) {
float dmin;
int a, b;
a = (c[0] < aabb[0][0]) + (c[0] > aabb[1][0]);
b = (c[1] < aabb[0][1]) + (c[1] > aabb[1][1]);
dmin = glm_pow2((c[0] - aabb[!(a - 1)][0]) * (a != 0))
+ glm_pow2((c[1] - aabb[!(b - 1)][1]) * (b != 0));
return dmin <= glm_pow2(c[2]);
}
/*!
* @brief check if point is inside of AABB
*
* @param[in] aabb bounding aabb
* @param[in] point point
*/
CGLM_INLINE
bool
glm_aabb2d_point(vec2 aabb[2], vec2 point) {
return (point[0] >= aabb[0][0] && point[0] <= aabb[1][0])
&& (point[1] >= aabb[0][1] && point[1] <= aabb[1][1]);
}
/*!
* @brief check if AABB contains other AABB
*
* @param[in] aabb bounding aabb
* @param[in] other other bounding aabb
*/
CGLM_INLINE
bool
glm_aabb2d_contains(vec2 aabb[2], vec2 other[2]) {
return (aabb[0][0] <= other[0][0] && aabb[1][0] >= other[1][0])
&& (aabb[0][1] <= other[0][1] && aabb[1][1] >= other[1][1]);
}
#endif /* cglm_aabb2d_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
/*
Functions:
CGLM_INLINE void glm_mul(mat4 m1, mat4 m2, mat4 dest);
CGLM_INLINE void glm_mul_rot(mat4 m1, mat4 m2, mat4 dest);
CGLM_INLINE void glm_inv_tr(mat4 mat);
*/
#ifndef cglm_affine_mat_h
#define cglm_affine_mat_h
#include "common.h"
#include "mat4.h"
#include "mat3.h"
#ifdef CGLM_SSE_FP
# include "simd/sse2/affine.h"
#endif
#ifdef CGLM_AVX_FP
# include "simd/avx/affine.h"
#endif
#ifdef CGLM_NEON_FP
# include "simd/neon/affine.h"
#endif
#ifdef CGLM_SIMD_WASM
# include "simd/wasm/affine.h"
#endif
/*!
* @brief this is similar to glm_mat4_mul but specialized to affine transform
*
* Matrix format should be:
* R R R X
* R R R Y
* R R R Z
* 0 0 0 W
*
* this reduces some multiplications. It should be faster than mat4_mul.
* if you are not sure about matrix format then DON'T use this! use mat4_mul
*
* @param[in] m1 affine matrix 1
* @param[in] m2 affine matrix 2
* @param[out] dest result matrix
*/
CGLM_INLINE
void
glm_mul(mat4 m1, mat4 m2, mat4 dest) {
#if defined(__wasm__) && defined(__wasm_simd128__)
glm_mul_wasm(m1, m2, dest);
#elif defined(__AVX__)
glm_mul_avx(m1, m2, dest);
#elif defined( __SSE__ ) || defined( __SSE2__ )
glm_mul_sse2(m1, m2, dest);
#elif defined(CGLM_NEON_FP)
glm_mul_neon(m1, m2, dest);
#else
float a00 = m1[0][0], a01 = m1[0][1], a02 = m1[0][2], a03 = m1[0][3],
a10 = m1[1][0], a11 = m1[1][1], a12 = m1[1][2], a13 = m1[1][3],
a20 = m1[2][0], a21 = m1[2][1], a22 = m1[2][2], a23 = m1[2][3],
a30 = m1[3][0], a31 = m1[3][1], a32 = m1[3][2], a33 = m1[3][3],
b00 = m2[0][0], b01 = m2[0][1], b02 = m2[0][2],
b10 = m2[1][0], b11 = m2[1][1], b12 = m2[1][2],
b20 = m2[2][0], b21 = m2[2][1], b22 = m2[2][2],
b30 = m2[3][0], b31 = m2[3][1], b32 = m2[3][2], b33 = m2[3][3];
dest[0][0] = a00 * b00 + a10 * b01 + a20 * b02;
dest[0][1] = a01 * b00 + a11 * b01 + a21 * b02;
dest[0][2] = a02 * b00 + a12 * b01 + a22 * b02;
dest[0][3] = a03 * b00 + a13 * b01 + a23 * b02;
dest[1][0] = a00 * b10 + a10 * b11 + a20 * b12;
dest[1][1] = a01 * b10 + a11 * b11 + a21 * b12;
dest[1][2] = a02 * b10 + a12 * b11 + a22 * b12;
dest[1][3] = a03 * b10 + a13 * b11 + a23 * b12;
dest[2][0] = a00 * b20 + a10 * b21 + a20 * b22;
dest[2][1] = a01 * b20 + a11 * b21 + a21 * b22;
dest[2][2] = a02 * b20 + a12 * b21 + a22 * b22;
dest[2][3] = a03 * b20 + a13 * b21 + a23 * b22;
dest[3][0] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;
dest[3][1] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;
dest[3][2] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;
dest[3][3] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;
#endif
}
/*!
* @brief this is similar to glm_mat4_mul but specialized to affine transform
*
* Right Matrix format should be:
* R R R 0
* R R R 0
* R R R 0
* 0 0 0 1
*
* this reduces some multiplications. It should be faster than mat4_mul.
* if you are not sure about matrix format then DON'T use this! use mat4_mul
*
* @param[in] m1 affine matrix 1
* @param[in] m2 affine matrix 2
* @param[out] dest result matrix
*/
CGLM_INLINE
void
glm_mul_rot(mat4 m1, mat4 m2, mat4 dest) {
#if defined(__wasm__) && defined(__wasm_simd128__)
glm_mul_rot_wasm(m1, m2, dest);
#elif defined( __SSE__ ) || defined( __SSE2__ )
glm_mul_rot_sse2(m1, m2, dest);
#elif defined(CGLM_NEON_FP)
glm_mul_rot_neon(m1, m2, dest);
#else
float a00 = m1[0][0], a01 = m1[0][1], a02 = m1[0][2], a03 = m1[0][3],
a10 = m1[1][0], a11 = m1[1][1], a12 = m1[1][2], a13 = m1[1][3],
a20 = m1[2][0], a21 = m1[2][1], a22 = m1[2][2], a23 = m1[2][3],
a30 = m1[3][0], a31 = m1[3][1], a32 = m1[3][2], a33 = m1[3][3],
b00 = m2[0][0], b01 = m2[0][1], b02 = m2[0][2],
b10 = m2[1][0], b11 = m2[1][1], b12 = m2[1][2],
b20 = m2[2][0], b21 = m2[2][1], b22 = m2[2][2];
dest[0][0] = a00 * b00 + a10 * b01 + a20 * b02;
dest[0][1] = a01 * b00 + a11 * b01 + a21 * b02;
dest[0][2] = a02 * b00 + a12 * b01 + a22 * b02;
dest[0][3] = a03 * b00 + a13 * b01 + a23 * b02;
dest[1][0] = a00 * b10 + a10 * b11 + a20 * b12;
dest[1][1] = a01 * b10 + a11 * b11 + a21 * b12;
dest[1][2] = a02 * b10 + a12 * b11 + a22 * b12;
dest[1][3] = a03 * b10 + a13 * b11 + a23 * b12;
dest[2][0] = a00 * b20 + a10 * b21 + a20 * b22;
dest[2][1] = a01 * b20 + a11 * b21 + a21 * b22;
dest[2][2] = a02 * b20 + a12 * b21 + a22 * b22;
dest[2][3] = a03 * b20 + a13 * b21 + a23 * b22;
dest[3][0] = a30;
dest[3][1] = a31;
dest[3][2] = a32;
dest[3][3] = a33;
#endif
}
/*!
* @brief inverse orthonormal rotation + translation matrix (ridig-body)
*
* @code
* X = | R T | X' = | R' -R'T |
* | 0 1 | | 0 1 |
* @endcode
*
* @param[in,out] mat matrix
*/
CGLM_INLINE
void
glm_inv_tr(mat4 mat) {
#if defined(__wasm__) && defined(__wasm_simd128__)
glm_inv_tr_wasm(mat);
#elif defined( __SSE__ ) || defined( __SSE2__ )
glm_inv_tr_sse2(mat);
#elif defined(CGLM_NEON_FP)
glm_inv_tr_neon(mat);
#else
CGLM_ALIGN_MAT mat3 r;
CGLM_ALIGN(8) vec3 t;
/* rotate */
glm_mat4_pick3t(mat, r);
glm_mat4_ins3(r, mat);
/* translate */
glm_mat3_mulv(r, mat[3], t);
glm_vec3_negate(t);
glm_vec3_copy(t, mat[3]);
#endif
}
#endif /* cglm_affine_mat_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglm_affine_post_h
#define cglm_affine_post_h
/*
Functions:
CGLM_INLINE void glm_translated_to(mat4 m, vec3 v, mat4 dest);
CGLM_INLINE void glm_translated(mat4 m, vec3 v);
CGLM_INLINE void glm_translated_x(mat4 m, float to);
CGLM_INLINE void glm_translated_y(mat4 m, float to);
CGLM_INLINE void glm_translated_z(mat4 m, float to);
CGLM_INLINE void glm_rotated_x(mat4 m, float angle, mat4 dest);
CGLM_INLINE void glm_rotated_y(mat4 m, float angle, mat4 dest);
CGLM_INLINE void glm_rotated_z(mat4 m, float angle, mat4 dest);
CGLM_INLINE void glm_rotated(mat4 m, float angle, vec3 axis);
CGLM_INLINE void glm_rotated_at(mat4 m, vec3 pivot, float angle, vec3 axis);
CGLM_INLINE void glm_spinned(mat4 m, float angle, vec3 axis);
*/
#include "common.h"
#include "util.h"
#include "vec3.h"
#include "vec4.h"
#include "mat4.h"
#include "affine-mat.h"
/*!
* @brief translate existing transform matrix by v vector
* and stores result in same matrix
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in, out] m affine transform
* @param[in] v translate vector [x, y, z]
*/
CGLM_INLINE
void
glm_translated(mat4 m, vec3 v) {
glm_vec3_add(m[3], v, m[3]);
}
/*!
* @brief translate existing transform matrix by v vector
* and store result in dest
*
* source matrix will remain same
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in] m affine transform
* @param[in] v translate vector [x, y, z]
* @param[out] dest translated matrix
*/
CGLM_INLINE
void
glm_translated_to(mat4 m, vec3 v, mat4 dest) {
glm_mat4_copy(m, dest);
glm_translated(dest, v);
}
/*!
* @brief translate existing transform matrix by x factor
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in, out] m affine transform
* @param[in] x x factor
*/
CGLM_INLINE
void
glm_translated_x(mat4 m, float x) {
m[3][0] += x;
}
/*!
* @brief translate existing transform matrix by y factor
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in, out] m affine transform
* @param[in] y y factor
*/
CGLM_INLINE
void
glm_translated_y(mat4 m, float y) {
m[3][1] += y;
}
/*!
* @brief translate existing transform matrix by z factor
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in, out] m affine transform
* @param[in] z z factor
*/
CGLM_INLINE
void
glm_translated_z(mat4 m, float z) {
m[3][2] += z;
}
/*!
* @brief rotate existing transform matrix around X axis by angle
* and store result in dest
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in] m affine transform
* @param[in] angle angle (radians)
* @param[out] dest rotated matrix
*/
CGLM_INLINE
void
glm_rotated_x(mat4 m, float angle, mat4 dest) {
CGLM_ALIGN_MAT mat4 t = GLM_MAT4_IDENTITY_INIT;
float c, s;
c = cosf(angle);
s = sinf(angle);
t[1][1] = c;
t[1][2] = s;
t[2][1] = -s;
t[2][2] = c;
glm_mul_rot(t, m, dest);
}
/*!
* @brief rotate existing transform matrix around Y axis by angle
* and store result in dest
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in] m affine transform
* @param[in] angle angle (radians)
* @param[out] dest rotated matrix
*/
CGLM_INLINE
void
glm_rotated_y(mat4 m, float angle, mat4 dest) {
CGLM_ALIGN_MAT mat4 t = GLM_MAT4_IDENTITY_INIT;
float c, s;
c = cosf(angle);
s = sinf(angle);
t[0][0] = c;
t[0][2] = -s;
t[2][0] = s;
t[2][2] = c;
glm_mul_rot(t, m, dest);
}
/*!
* @brief rotate existing transform matrix around Z axis by angle
* and store result in dest
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in] m affine transform
* @param[in] angle angle (radians)
* @param[out] dest rotated matrix
*/
CGLM_INLINE
void
glm_rotated_z(mat4 m, float angle, mat4 dest) {
CGLM_ALIGN_MAT mat4 t = GLM_MAT4_IDENTITY_INIT;
float c, s;
c = cosf(angle);
s = sinf(angle);
t[0][0] = c;
t[0][1] = s;
t[1][0] = -s;
t[1][1] = c;
glm_mul_rot(t, m, dest);
}
/*!
* @brief rotate existing transform matrix around given axis by angle
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in, out] m affine transform
* @param[in] angle angle (radians)
* @param[in] axis axis
*/
CGLM_INLINE
void
glm_rotated(mat4 m, float angle, vec3 axis) {
CGLM_ALIGN_MAT mat4 rot;
glm_rotate_make(rot, angle, axis);
glm_mul_rot(rot, m, m);
}
/*!
* @brief rotate existing transform
* around given axis by angle at given pivot point (rotation center)
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in, out] m affine transform
* @param[in] pivot rotation center
* @param[in] angle angle (radians)
* @param[in] axis axis
*/
CGLM_INLINE
void
glm_rotated_at(mat4 m, vec3 pivot, float angle, vec3 axis) {
CGLM_ALIGN(8) vec3 pivotInv;
glm_vec3_negate_to(pivot, pivotInv);
glm_translated(m, pivot);
glm_rotated(m, angle, axis);
glm_translated(m, pivotInv);
}
/*!
* @brief rotate existing transform matrix around given axis by angle around self (doesn't affected by position)
*
* this is POST transform, applies to existing transform as last transform
*
* @param[in, out] m affine transform
* @param[in] angle angle (radians)
* @param[in] axis axis
*/
CGLM_INLINE
void
glm_spinned(mat4 m, float angle, vec3 axis) {
CGLM_ALIGN_MAT mat4 rot;
glm_rotate_atm(rot, m[3], angle, axis);
glm_mat4_mul(rot, m, m);
}
#endif /* cglm_affine_post_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglm_affine_pre_h
#define cglm_affine_pre_h
/*
Functions:
CGLM_INLINE void glm_translate_to(mat4 m, vec3 v, mat4 dest);
CGLM_INLINE void glm_translate(mat4 m, vec3 v);
CGLM_INLINE void glm_translate_x(mat4 m, float to);
CGLM_INLINE void glm_translate_y(mat4 m, float to);
CGLM_INLINE void glm_translate_z(mat4 m, float to);
CGLM_INLINE void glm_rotate_x(mat4 m, float angle, mat4 dest);
CGLM_INLINE void glm_rotate_y(mat4 m, float angle, mat4 dest);
CGLM_INLINE void glm_rotate_z(mat4 m, float angle, mat4 dest);
CGLM_INLINE void glm_rotate(mat4 m, float angle, vec3 axis);
CGLM_INLINE void glm_rotate_at(mat4 m, vec3 pivot, float angle, vec3 axis);
CGLM_INLINE void glm_rotate_atm(mat4 m, vec3 pivot, float angle, vec3 axis);
CGLM_INLINE void glm_spin(mat4 m, float angle, vec3 axis);
*/
#include "common.h"
#include "util.h"
#include "vec3.h"
#include "vec4.h"
#include "mat4.h"
#include "affine-mat.h"
/*!
* @brief translate existing transform matrix by v vector
* and stores result in same matrix
*
* @param[in, out] m affine transform
* @param[in] v translate vector [x, y, z]
*/
CGLM_INLINE
void
glm_translate(mat4 m, vec3 v) {
#if defined(CGLM_SIMD)
glmm_128 m0, m1, m2, m3;
m0 = glmm_load(m[0]);
m1 = glmm_load(m[1]);
m2 = glmm_load(m[2]);
m3 = glmm_load(m[3]);
glmm_store(m[3],
glmm_fmadd(m0, glmm_set1(v[0]),
glmm_fmadd(m1, glmm_set1(v[1]),
glmm_fmadd(m2, glmm_set1(v[2]), m3))));
#else
glm_vec4_muladds(m[0], v[0], m[3]);
glm_vec4_muladds(m[1], v[1], m[3]);
glm_vec4_muladds(m[2], v[2], m[3]);
#endif
}
/*!
* @brief translate existing transform matrix by v vector
* and store result in dest
*
* source matrix will remain same
*
* @param[in] m affine transform
* @param[in] v translate vector [x, y, z]
* @param[out] dest translated matrix
*/
CGLM_INLINE
void
glm_translate_to(mat4 m, vec3 v, mat4 dest) {
glm_mat4_copy(m, dest);
glm_translate(dest, v);
}
/*!
* @brief translate existing transform matrix by x factor
*
* @param[in, out] m affine transform
* @param[in] x x factor
*/
CGLM_INLINE
void
glm_translate_x(mat4 m, float x) {
#if defined(CGLM_SIMD)
glmm_store(m[3], glmm_fmadd(glmm_load(m[0]), glmm_set1(x), glmm_load(m[3])));
#else
vec4 v1;
glm_vec4_scale(m[0], x, v1);
glm_vec4_add(v1, m[3], m[3]);
#endif
}
/*!
* @brief translate existing transform matrix by y factor
*
* @param[in, out] m affine transform
* @param[in] y y factor
*/
CGLM_INLINE
void
glm_translate_y(mat4 m, float y) {
#if defined(CGLM_SIMD)
glmm_store(m[3], glmm_fmadd(glmm_load(m[1]), glmm_set1(y), glmm_load(m[3])));
#else
vec4 v1;
glm_vec4_scale(m[1], y, v1);
glm_vec4_add(v1, m[3], m[3]);
#endif
}
/*!
* @brief translate existing transform matrix by z factor
*
* @param[in, out] m affine transform
* @param[in] z z factor
*/
CGLM_INLINE
void
glm_translate_z(mat4 m, float z) {
#if defined(CGLM_SIMD)
glmm_store(m[3], glmm_fmadd(glmm_load(m[2]), glmm_set1(z), glmm_load(m[3])));
#else
vec4 v1;
glm_vec4_scale(m[2], z, v1);
glm_vec4_add(v1, m[3], m[3]);
#endif
}
/*!
* @brief rotate existing transform matrix around X axis by angle
* and store result in dest
*
* @param[in] m affine transform
* @param[in] angle angle (radians)
* @param[out] dest rotated matrix
*/
CGLM_INLINE
void
glm_rotate_x(mat4 m, float angle, mat4 dest) {
CGLM_ALIGN_MAT mat4 t = GLM_MAT4_IDENTITY_INIT;
float c, s;
c = cosf(angle);
s = sinf(angle);
t[1][1] = c;
t[1][2] = s;
t[2][1] = -s;
t[2][2] = c;
glm_mul_rot(m, t, dest);
}
/*!
* @brief rotate existing transform matrix around Y axis by angle
* and store result in dest
*
* @param[in] m affine transform
* @param[in] angle angle (radians)
* @param[out] dest rotated matrix
*/
CGLM_INLINE
void
glm_rotate_y(mat4 m, float angle, mat4 dest) {
CGLM_ALIGN_MAT mat4 t = GLM_MAT4_IDENTITY_INIT;
float c, s;
c = cosf(angle);
s = sinf(angle);
t[0][0] = c;
t[0][2] = -s;
t[2][0] = s;
t[2][2] = c;
glm_mul_rot(m, t, dest);
}
/*!
* @brief rotate existing transform matrix around Z axis by angle
* and store result in dest
*
* @param[in] m affine transform
* @param[in] angle angle (radians)
* @param[out] dest rotated matrix
*/
CGLM_INLINE
void
glm_rotate_z(mat4 m, float angle, mat4 dest) {
CGLM_ALIGN_MAT mat4 t = GLM_MAT4_IDENTITY_INIT;
float c, s;
c = cosf(angle);
s = sinf(angle);
t[0][0] = c;
t[0][1] = s;
t[1][0] = -s;
t[1][1] = c;
glm_mul_rot(m, t, dest);
}
/*!
* @brief rotate existing transform matrix
* around given axis by angle at ORIGIN (0,0,0)
*
* **❗️IMPORTANT ❗️**
*
* If you need to rotate object around itself e.g. center of object or at
* some point [of object] then `glm_rotate_at()` would be better choice to do so.
*
* Even if object's model transform is identity, rotation may not be around
* center of object if object does not lay out at ORIGIN perfectly.
*
* Using `glm_rotate_at()` with center of bounding shape ( AABB, Sphere ... )
* would be an easy option to rotate around object if object is not at origin.
*
* One another option to rotate around itself at any point is `glm_spin()`
* which is perfect if only rotating around model position is desired e.g. not
* specific point on model for instance center of geometry or center of mass,
* again if geometry is not perfectly centered at origin at identity transform,
* rotation may not be around geometry.
*
* @param[in, out] m affine transform
* @param[in] angle angle (radians)
* @param[in] axis axis
*/
CGLM_INLINE
void
glm_rotate(mat4 m, float angle, vec3 axis) {
CGLM_ALIGN_MAT mat4 rot;
glm_rotate_make(rot, angle, axis);
glm_mul_rot(m, rot, m);
}
/*!
* @brief rotate existing transform
* around given axis by angle at given pivot point (rotation center)
*
* @param[in, out] m affine transform
* @param[in] pivot rotation center
* @param[in] angle angle (radians)
* @param[in] axis axis
*/
CGLM_INLINE
void
glm_rotate_at(mat4 m, vec3 pivot, float angle, vec3 axis) {
CGLM_ALIGN(8) vec3 pivotInv;
glm_vec3_negate_to(pivot, pivotInv);
glm_translate(m, pivot);
glm_rotate(m, angle, axis);
glm_translate(m, pivotInv);
}
/*!
* @brief creates NEW rotation matrix by angle and axis at given point
*
* this creates rotation matrix, it assumes you don't have a matrix
*
* this should work faster than glm_rotate_at because it reduces
* one glm_translate.
*
* @param[out] m affine transform
* @param[in] pivot rotation center
* @param[in] angle angle (radians)
* @param[in] axis axis
*/
CGLM_INLINE
void
glm_rotate_atm(mat4 m, vec3 pivot, float angle, vec3 axis) {
CGLM_ALIGN(8) vec3 pivotInv;
glm_vec3_negate_to(pivot, pivotInv);
glm_translate_make(m, pivot);
glm_rotate(m, angle, axis);
glm_translate(m, pivotInv);
}
/*!
* @brief rotate existing transform matrix
* around given axis by angle around self (doesn't affected by position)
*
* @param[in, out] m affine transform
* @param[in] angle angle (radians)
* @param[in] axis axis
*/
CGLM_INLINE
void
glm_spin(mat4 m, float angle, vec3 axis) {
CGLM_ALIGN_MAT mat4 rot;
glm_rotate_atm(rot, m[3], angle, axis);
glm_mat4_mul(m, rot, m);
}
#endif /* cglm_affine_pre_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
/*
Functions:
CGLM_INLINE void glm_translate_to(mat4 m, vec3 v, mat4 dest);
CGLM_INLINE void glm_translate(mat4 m, vec3 v);
CGLM_INLINE void glm_translate_x(mat4 m, float to);
CGLM_INLINE void glm_translate_y(mat4 m, float to);
CGLM_INLINE void glm_translate_z(mat4 m, float to);
CGLM_INLINE void glm_translate_make(mat4 m, vec3 v);
CGLM_INLINE void glm_scale_to(mat4 m, vec3 v, mat4 dest);
CGLM_INLINE void glm_scale_make(mat4 m, vec3 v);
CGLM_INLINE void glm_scale(mat4 m, vec3 v);
CGLM_INLINE void glm_scale_uni(mat4 m, float s);
CGLM_INLINE void glm_rotate_x(mat4 m, float angle, mat4 dest);
CGLM_INLINE void glm_rotate_y(mat4 m, float angle, mat4 dest);
CGLM_INLINE void glm_rotate_z(mat4 m, float angle, mat4 dest);
CGLM_INLINE void glm_rotate_make(mat4 m, float angle, vec3 axis);
CGLM_INLINE void glm_rotate(mat4 m, float angle, vec3 axis);
CGLM_INLINE void glm_rotate_at(mat4 m, vec3 pivot, float angle, vec3 axis);
CGLM_INLINE void glm_rotate_atm(mat4 m, vec3 pivot, float angle, vec3 axis);
CGLM_INLINE void glm_spin(mat4 m, float angle, vec3 axis);
CGLM_INLINE void glm_decompose_scalev(mat4 m, vec3 s);
CGLM_INLINE bool glm_uniscaled(mat4 m);
CGLM_INLINE void glm_decompose_rs(mat4 m, mat4 r, vec3 s);
CGLM_INLINE void glm_decompose(mat4 m, vec4 t, mat4 r, vec3 s);
*/
#ifndef cglm_affine_h
#define cglm_affine_h
#include "common.h"
#include "util.h"
#include "vec3.h"
#include "vec4.h"
#include "mat4.h"
#include "affine-mat.h"
/*!
* @brief creates NEW translate transform matrix by v vector
*
* @param[out] m affine transform
* @param[in] v translate vector [x, y, z]
*/
CGLM_INLINE
void
glm_translate_make(mat4 m, vec3 v) {
glm_mat4_identity(m);
glm_vec3_copy(v, m[3]);
}
/*!
* @brief scale existing transform matrix by v vector
* and store result in dest
*
* @param[in] m affine transform
* @param[in] v scale vector [x, y, z]
* @param[out] dest scaled matrix
*/
CGLM_INLINE
void
glm_scale_to(mat4 m, vec3 v, mat4 dest) {
glm_vec4_scale(m[0], v[0], dest[0]);
glm_vec4_scale(m[1], v[1], dest[1]);
glm_vec4_scale(m[2], v[2], dest[2]);
glm_vec4_copy(m[3], dest[3]);
}
/*!
* @brief creates NEW scale matrix by v vector
*
* @param[out] m affine transform
* @param[in] v scale vector [x, y, z]
*/
CGLM_INLINE
void
glm_scale_make(mat4 m, vec3 v) {
glm_mat4_identity(m);
m[0][0] = v[0];
m[1][1] = v[1];
m[2][2] = v[2];
}
/*!
* @brief scales existing transform matrix by v vector
* and stores result in same matrix
*
* @param[in, out] m affine transform
* @param[in] v scale vector [x, y, z]
*/
CGLM_INLINE
void
glm_scale(mat4 m, vec3 v) {
glm_scale_to(m, v, m);
}
/*!
* @brief applies uniform scale to existing transform matrix v = [s, s, s]
* and stores result in same matrix
*
* @param[in, out] m affine transform
* @param[in] s scale factor
*/
CGLM_INLINE
void
glm_scale_uni(mat4 m, float s) {
CGLM_ALIGN(8) vec3 v = { s, s, s };
glm_scale_to(m, v, m);
}
/*!
* @brief creates NEW rotation matrix by angle and axis
*
* axis will be normalized so you don't need to normalize it
*
* @param[out] m affine transform
* @param[in] angle angle (radians)
* @param[in] axis axis
*/
CGLM_INLINE
void
glm_rotate_make(mat4 m, float angle, vec3 axis) {
CGLM_ALIGN(8) vec3 axisn, v, vs;
float c;
c = cosf(angle);
glm_vec3_normalize_to(axis, axisn);
glm_vec3_scale(axisn, 1.0f - c, v);
glm_vec3_scale(axisn, sinf(angle), vs);
glm_vec3_scale(axisn, v[0], m[0]);
glm_vec3_scale(axisn, v[1], m[1]);
glm_vec3_scale(axisn, v[2], m[2]);
m[0][0] += c; m[1][0] -= vs[2]; m[2][0] += vs[1];
m[0][1] += vs[2]; m[1][1] += c; m[2][1] -= vs[0];
m[0][2] -= vs[1]; m[1][2] += vs[0]; m[2][2] += c;
m[0][3] = m[1][3] = m[2][3] = m[3][0] = m[3][1] = m[3][2] = 0.0f;
m[3][3] = 1.0f;
}
/*!
* @brief decompose scale vector
*
* @param[in] m affine transform
* @param[out] s scale vector (Sx, Sy, Sz)
*/
CGLM_INLINE
void
glm_decompose_scalev(mat4 m, vec3 s) {
s[0] = glm_vec3_norm(m[0]);
s[1] = glm_vec3_norm(m[1]);
s[2] = glm_vec3_norm(m[2]);
}
/*!
* @brief returns true if matrix is uniform scaled. This is helpful for
* creating normal matrix.
*
* @param[in] m m
*
* @return boolean
*/
CGLM_INLINE
bool
glm_uniscaled(mat4 m) {
CGLM_ALIGN(8) vec3 s;
glm_decompose_scalev(m, s);
return glm_vec3_eq_all(s);
}
/*!
* @brief decompose rotation matrix (mat4) and scale vector [Sx, Sy, Sz]
* DON'T pass projected matrix here
*
* @param[in] m affine transform
* @param[out] r rotation matrix
* @param[out] s scale matrix
*/
CGLM_INLINE
void
glm_decompose_rs(mat4 m, mat4 r, vec3 s) {
CGLM_ALIGN(16) vec4 t = {0.0f, 0.0f, 0.0f, 1.0f};
CGLM_ALIGN(8) vec3 v;
glm_vec4_copy(m[0], r[0]);
glm_vec4_copy(m[1], r[1]);
glm_vec4_copy(m[2], r[2]);
glm_vec4_copy(t, r[3]);
s[0] = glm_vec3_norm(m[0]);
s[1] = glm_vec3_norm(m[1]);
s[2] = glm_vec3_norm(m[2]);
glm_vec4_scale(r[0], 1.0f/s[0], r[0]);
glm_vec4_scale(r[1], 1.0f/s[1], r[1]);
glm_vec4_scale(r[2], 1.0f/s[2], r[2]);
/* Note from Apple Open Source (assume that the matrix is orthonormal):
check for a coordinate system flip. If the determinant
is -1, then negate the matrix and the scaling factors. */
glm_vec3_cross(m[0], m[1], v);
if (glm_vec3_dot(v, m[2]) < 0.0f) {
glm_vec4_negate(r[0]);
glm_vec4_negate(r[1]);
glm_vec4_negate(r[2]);
glm_vec3_negate(s);
}
}
/*!
* @brief decompose affine transform, TODO: extract shear factors.
* DON'T pass projected matrix here
*
* @param[in] m affine transform
* @param[out] t translation vector
* @param[out] r rotation matrix (mat4)
* @param[out] s scaling vector [X, Y, Z]
*/
CGLM_INLINE
void
glm_decompose(mat4 m, vec4 t, mat4 r, vec3 s) {
glm_vec4_copy(m[3], t);
glm_decompose_rs(m, r, s);
}
#include "affine-pre.h"
#include "affine-post.h"
#endif /* cglm_affine_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
/*
Functions:
CGLM_INLINE void glm_translate2d(mat3 m, vec2 v)
CGLM_INLINE void glm_translate2d_to(mat3 m, vec2 v, mat3 dest)
CGLM_INLINE void glm_translate2d_x(mat3 m, float x)
CGLM_INLINE void glm_translate2d_y(mat3 m, float y)
CGLM_INLINE void glm_translate2d_make(mat3 m, vec2 v)
CGLM_INLINE void glm_scale2d_to(mat3 m, vec2 v, mat3 dest)
CGLM_INLINE void glm_scale2d_make(mat3 m, vec2 v)
CGLM_INLINE void glm_scale2d(mat3 m, vec2 v)
CGLM_INLINE void glm_scale2d_uni(mat3 m, float s)
CGLM_INLINE void glm_rotate2d_make(mat3 m, float angle)
CGLM_INLINE void glm_rotate2d(mat3 m, float angle)
CGLM_INLINE void glm_rotate2d_to(mat3 m, float angle, mat3 dest)
*/
#ifndef cglm_affine2d_h
#define cglm_affine2d_h
#include "common.h"
#include "util.h"
#include "vec2.h"
#include "mat3.h"
/*!
* @brief translate existing 2d transform matrix by v vector
* and stores result in same matrix
*
* @param[in, out] m affine transform
* @param[in] v translate vector [x, y]
*/
CGLM_INLINE
void
glm_translate2d(mat3 m, vec2 v) {
m[2][0] = m[0][0] * v[0] + m[1][0] * v[1] + m[2][0];
m[2][1] = m[0][1] * v[0] + m[1][1] * v[1] + m[2][1];
m[2][2] = m[0][2] * v[0] + m[1][2] * v[1] + m[2][2];
}
/*!
* @brief translate existing 2d transform matrix by v vector
* and store result in dest
*
* source matrix will remain same
*
* @param[in] m affine transform
* @param[in] v translate vector [x, y]
* @param[out] dest translated matrix
*/
CGLM_INLINE
void
glm_translate2d_to(mat3 m, vec2 v, mat3 dest) {
glm_mat3_copy(m, dest);
glm_translate2d(dest, v);
}
/*!
* @brief translate existing 2d transform matrix by x factor
*
* @param[in, out] m affine transform
* @param[in] x x factor
*/
CGLM_INLINE
void
glm_translate2d_x(mat3 m, float x) {
m[2][0] = m[0][0] * x + m[2][0];
m[2][1] = m[0][1] * x + m[2][1];
m[2][2] = m[0][2] * x + m[2][2];
}
/*!
* @brief translate existing 2d transform matrix by y factor
*
* @param[in, out] m affine transform
* @param[in] y y factor
*/
CGLM_INLINE
void
glm_translate2d_y(mat3 m, float y) {
m[2][0] = m[1][0] * y + m[2][0];
m[2][1] = m[1][1] * y + m[2][1];
m[2][2] = m[1][2] * y + m[2][2];
}
/*!
* @brief creates NEW translate 2d transform matrix by v vector
*
* @param[out] m affine transform
* @param[in] v translate vector [x, y]
*/
CGLM_INLINE
void
glm_translate2d_make(mat3 m, vec2 v) {
glm_mat3_identity(m);
m[2][0] = v[0];
m[2][1] = v[1];
}
/*!
* @brief scale existing 2d transform matrix by v vector
* and store result in dest
*
* @param[in] m affine transform
* @param[in] v scale vector [x, y]
* @param[out] dest scaled matrix
*/
CGLM_INLINE
void
glm_scale2d_to(mat3 m, vec2 v, mat3 dest) {
dest[0][0] = m[0][0] * v[0];
dest[0][1] = m[0][1] * v[0];
dest[0][2] = m[0][2] * v[0];
dest[1][0] = m[1][0] * v[1];
dest[1][1] = m[1][1] * v[1];
dest[1][2] = m[1][2] * v[1];
dest[2][0] = m[2][0];
dest[2][1] = m[2][1];
dest[2][2] = m[2][2];
}
/*!
* @brief creates NEW 2d scale matrix by v vector
*
* @param[out] m affine transform
* @param[in] v scale vector [x, y]
*/
CGLM_INLINE
void
glm_scale2d_make(mat3 m, vec2 v) {
glm_mat3_identity(m);
m[0][0] = v[0];
m[1][1] = v[1];
}
/*!
* @brief scales existing 2d transform matrix by v vector
* and stores result in same matrix
*
* @param[in, out] m affine transform
* @param[in] v scale vector [x, y]
*/
CGLM_INLINE
void
glm_scale2d(mat3 m, vec2 v) {
m[0][0] = m[0][0] * v[0];
m[0][1] = m[0][1] * v[0];
m[0][2] = m[0][2] * v[0];
m[1][0] = m[1][0] * v[1];
m[1][1] = m[1][1] * v[1];
m[1][2] = m[1][2] * v[1];
}
/*!
* @brief applies uniform scale to existing 2d transform matrix v = [s, s]
* and stores result in same matrix
*
* @param[in, out] m affine transform
* @param[in] s scale factor
*/
CGLM_INLINE
void
glm_scale2d_uni(mat3 m, float s) {
m[0][0] = m[0][0] * s;
m[0][1] = m[0][1] * s;
m[0][2] = m[0][2] * s;
m[1][0] = m[1][0] * s;
m[1][1] = m[1][1] * s;
m[1][2] = m[1][2] * s;
}
/*!
* @brief creates NEW rotation matrix by angle around Z axis
*
* @param[out] m affine transform
* @param[in] angle angle (radians)
*/
CGLM_INLINE
void
glm_rotate2d_make(mat3 m, float angle) {
float c, s;
s = sinf(angle);
c = cosf(angle);
m[0][0] = c;
m[0][1] = s;
m[0][2] = 0;
m[1][0] = -s;
m[1][1] = c;
m[1][2] = 0;
m[2][0] = 0.0f;
m[2][1] = 0.0f;
m[2][2] = 1.0f;
}
/*!
* @brief rotate existing 2d transform matrix around Z axis by angle
* and store result in same matrix
*
* @param[in, out] m affine transform
* @param[in] angle angle (radians)
*/
CGLM_INLINE
void
glm_rotate2d(mat3 m, float angle) {
float m00 = m[0][0], m10 = m[1][0],
m01 = m[0][1], m11 = m[1][1],
m02 = m[0][2], m12 = m[1][2];
float c, s;
s = sinf(angle);
c = cosf(angle);
m[0][0] = m00 * c + m10 * s;
m[0][1] = m01 * c + m11 * s;
m[0][2] = m02 * c + m12 * s;
m[1][0] = m00 * -s + m10 * c;
m[1][1] = m01 * -s + m11 * c;
m[1][2] = m02 * -s + m12 * c;
}
/*!
* @brief rotate existing 2d transform matrix around Z axis by angle
* and store result in dest
*
* @param[in] m affine transform
* @param[in] angle angle (radians)
* @param[out] dest destination
*/
CGLM_INLINE
void
glm_rotate2d_to(mat3 m, float angle, mat3 dest) {
float m00 = m[0][0], m10 = m[1][0],
m01 = m[0][1], m11 = m[1][1],
m02 = m[0][2], m12 = m[1][2];
float c, s;
s = sinf(angle);
c = cosf(angle);
dest[0][0] = m00 * c + m10 * s;
dest[0][1] = m01 * c + m11 * s;
dest[0][2] = m02 * c + m12 * s;
dest[1][0] = m00 * -s + m10 * c;
dest[1][1] = m01 * -s + m11 * c;
dest[1][2] = m02 * -s + m12 * c;
dest[2][0] = m[2][0];
dest[2][1] = m[2][1];
dest[2][2] = m[2][2];
}
#endif /* cglm_affine2d_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglm_applesimd_h
#define cglm_applesimd_h
#if defined(__APPLE__) \
&& defined(SIMD_COMPILER_HAS_REQUIRED_FEATURES) \
&& defined(SIMD_BASE) \
&& defined(SIMD_TYPES) \
&& defined(SIMD_VECTOR_TYPES)
#include "common.h"
/*!
* @brief converts mat4 to Apple's simd type simd_float4x4
* @return simd_float4x4
*/
CGLM_INLINE
simd_float4x4
glm_mat4_applesimd(mat4 m) {
simd_float4x4 t;
t.columns[0][0] = m[0][0];
t.columns[0][1] = m[0][1];
t.columns[0][2] = m[0][2];
t.columns[0][3] = m[0][3];
t.columns[1][0] = m[1][0];
t.columns[1][1] = m[1][1];
t.columns[1][2] = m[1][2];
t.columns[1][3] = m[1][3];
t.columns[2][0] = m[2][0];
t.columns[2][1] = m[2][1];
t.columns[2][2] = m[2][2];
t.columns[2][3] = m[2][3];
t.columns[3][0] = m[3][0];
t.columns[3][1] = m[3][1];
t.columns[3][2] = m[3][2];
t.columns[3][3] = m[3][3];
return t;
}
/*!
* @brief converts mat3 to Apple's simd type simd_float3x3
* @return simd_float3x3
*/
CGLM_INLINE
simd_float3x3
glm_mat3_applesimd(mat3 m) {
simd_float3x3 t;
t.columns[0][0] = m[0][0];
t.columns[0][1] = m[0][1];
t.columns[0][2] = m[0][2];
t.columns[1][0] = m[1][0];
t.columns[1][1] = m[1][1];
t.columns[1][2] = m[1][2];
t.columns[2][0] = m[2][0];
t.columns[2][1] = m[2][1];
t.columns[2][2] = m[2][2];
return t;
}
/*!
* @brief converts vec4 to Apple's simd type simd_float4
* @return simd_float4
*/
CGLM_INLINE
simd_float4
glm_vec4_applesimd(vec4 v) {
return (simd_float4){v[0], v[1], v[2], v[3]};
}
/*!
* @brief converts vec3 to Apple's simd type simd_float3
* @return v
*/
CGLM_INLINE
simd_float3
glm_vec3_applesimd(vec3 v) {
return (simd_float3){v[0], v[1], v[2]};
}
#endif
#endif /* cglm_applesimd_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglm_bezier_h
#define cglm_bezier_h
#include "common.h"
#define GLM_BEZIER_MAT_INIT {{-1.0f, 3.0f, -3.0f, 1.0f}, \
{ 3.0f, -6.0f, 3.0f, 0.0f}, \
{-3.0f, 3.0f, 0.0f, 0.0f}, \
{ 1.0f, 0.0f, 0.0f, 0.0f}}
#define GLM_HERMITE_MAT_INIT {{ 2.0f, -3.0f, 0.0f, 1.0f}, \
{-2.0f, 3.0f, 0.0f, 0.0f}, \
{ 1.0f, -2.0f, 1.0f, 0.0f}, \
{ 1.0f, -1.0f, 0.0f, 0.0f}}
/* for C only */
#define GLM_BEZIER_MAT ((mat4)GLM_BEZIER_MAT_INIT)
#define GLM_HERMITE_MAT ((mat4)GLM_HERMITE_MAT_INIT)
#define CGLM_DECASTEL_EPS 1e-9f
#define CGLM_DECASTEL_MAX 1000
#define CGLM_DECASTEL_SMALL 1e-20f
/*!
* @brief cubic bezier interpolation
*
* Formula:
* B(s) = P0*(1-s)^3 + 3*C0*s*(1-s)^2 + 3*C1*s^2*(1-s) + P1*s^3
*
* similar result using matrix:
* B(s) = glm_smc(t, GLM_BEZIER_MAT, (vec4){p0, c0, c1, p1})
*
* glm_eq(glm_smc(...), glm_bezier(...)) should return TRUE
*
* @param[in] s parameter between 0 and 1
* @param[in] p0 begin point
* @param[in] c0 control point 1
* @param[in] c1 control point 2
* @param[in] p1 end point
*
* @return B(s)
*/
CGLM_INLINE
float
glm_bezier(float s, float p0, float c0, float c1, float p1) {
float x, xx, ss, xs3, a;
x = 1.0f - s;
xx = x * x;
ss = s * s;
xs3 = (s - ss) * 3.0f;
a = p0 * xx + c0 * xs3;
return a + s * (c1 * xs3 + p1 * ss - a);
}
/*!
* @brief cubic hermite interpolation
*
* Formula:
* H(s) = P0*(2*s^3 - 3*s^2 + 1) + T0*(s^3 - 2*s^2 + s)
* + P1*(-2*s^3 + 3*s^2) + T1*(s^3 - s^2)
*
* similar result using matrix:
* H(s) = glm_smc(t, GLM_HERMITE_MAT, (vec4){p0, p1, c0, c1})
*
* glm_eq(glm_smc(...), glm_hermite(...)) should return TRUE
*
* @param[in] s parameter between 0 and 1
* @param[in] p0 begin point
* @param[in] t0 tangent 1
* @param[in] t1 tangent 2
* @param[in] p1 end point
*
* @return H(s)
*/
CGLM_INLINE
float
glm_hermite(float s, float p0, float t0, float t1, float p1) {
float ss, d, a, b, c, e, f;
ss = s * s;
a = ss + ss;
c = a + ss;
b = a * s;
d = s * ss;
f = d - ss;
e = b - c;
return p0 * (e + 1.0f) + t0 * (f - ss + s) + t1 * f - p1 * e;
}
/*!
* @brief iterative way to solve cubic equation
*
* @param[in] prm parameter between 0 and 1
* @param[in] p0 begin point
* @param[in] c0 control point 1
* @param[in] c1 control point 2
* @param[in] p1 end point
*
* @return parameter to use in cubic equation
*/
CGLM_INLINE
float
glm_decasteljau(float prm, float p0, float c0, float c1, float p1) {
float u, v, a, b, c, d, e, f;
int i;
if (prm - p0 < CGLM_DECASTEL_SMALL)
return 0.0f;
if (p1 - prm < CGLM_DECASTEL_SMALL)
return 1.0f;
u = 0.0f;
v = 1.0f;
for (i = 0; i < CGLM_DECASTEL_MAX; i++) {
/* de Casteljau Subdivision */
a = (p0 + c0) * 0.5f;
b = (c0 + c1) * 0.5f;
c = (c1 + p1) * 0.5f;
d = (a + b) * 0.5f;
e = (b + c) * 0.5f;
f = (d + e) * 0.5f; /* this one is on the curve! */
/* The curve point is close enough to our wanted t */
if (fabsf(f - prm) < CGLM_DECASTEL_EPS)
return glm_clamp_zo((u + v) * 0.5f);
/* dichotomy */
if (f < prm) {
p0 = f;
c0 = e;
c1 = c;
u = (u + v) * 0.5f;
} else {
c0 = a;
c1 = d;
p1 = f;
v = (u + v) * 0.5f;
}
}
return glm_clamp_zo((u + v) * 0.5f);
}
#endif /* cglm_bezier_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglm_box_h
#define cglm_box_h
#include "common.h"
#include "vec3.h"
#include "vec4.h"
#include "util.h"
/*!
* @brief apply transform to Axis-Aligned Bounding Box
*
* @param[in] box bounding box
* @param[in] m transform matrix
* @param[out] dest transformed bounding box
*/
CGLM_INLINE
void
glm_aabb_transform(vec3 box[2], mat4 m, vec3 dest[2]) {
vec3 v[2], xa, xb, ya, yb, za, zb;
glm_vec3_scale(m[0], box[0][0], xa);
glm_vec3_scale(m[0], box[1][0], xb);
glm_vec3_scale(m[1], box[0][1], ya);
glm_vec3_scale(m[1], box[1][1], yb);
glm_vec3_scale(m[2], box[0][2], za);
glm_vec3_scale(m[2], box[1][2], zb);
/* translation + min(xa, xb) + min(ya, yb) + min(za, zb) */
glm_vec3(m[3], v[0]);
glm_vec3_minadd(xa, xb, v[0]);
glm_vec3_minadd(ya, yb, v[0]);
glm_vec3_minadd(za, zb, v[0]);
/* translation + max(xa, xb) + max(ya, yb) + max(za, zb) */
glm_vec3(m[3], v[1]);
glm_vec3_maxadd(xa, xb, v[1]);
glm_vec3_maxadd(ya, yb, v[1]);
glm_vec3_maxadd(za, zb, v[1]);
glm_vec3_copy(v[0], dest[0]);
glm_vec3_copy(v[1], dest[1]);
}
/*!
* @brief merges two AABB bounding box and creates new one
*
* two box must be in same space, if one of box is in different space then
* you should consider to convert it's space by glm_box_space
*
* @param[in] box1 bounding box 1
* @param[in] box2 bounding box 2
* @param[out] dest merged bounding box
*/
CGLM_INLINE
void
glm_aabb_merge(vec3 box1[2], vec3 box2[2], vec3 dest[2]) {
dest[0][0] = glm_min(box1[0][0], box2[0][0]);
dest[0][1] = glm_min(box1[0][1], box2[0][1]);
dest[0][2] = glm_min(box1[0][2], box2[0][2]);
dest[1][0] = glm_max(box1[1][0], box2[1][0]);
dest[1][1] = glm_max(box1[1][1], box2[1][1]);
dest[1][2] = glm_max(box1[1][2], box2[1][2]);
}
/*!
* @brief crops a bounding box with another one.
*
* this could be useful for getting a bbox which fits with view frustum and
* object bounding boxes. In this case you crop view frustum box with objects
* box
*
* @param[in] box bounding box 1
* @param[in] cropBox crop box
* @param[out] dest cropped bounding box
*/
CGLM_INLINE
void
glm_aabb_crop(vec3 box[2], vec3 cropBox[2], vec3 dest[2]) {
dest[0][0] = glm_max(box[0][0], cropBox[0][0]);
dest[0][1] = glm_max(box[0][1], cropBox[0][1]);
dest[0][2] = glm_max(box[0][2], cropBox[0][2]);
dest[1][0] = glm_min(box[1][0], cropBox[1][0]);
dest[1][1] = glm_min(box[1][1], cropBox[1][1]);
dest[1][2] = glm_min(box[1][2], cropBox[1][2]);
}
/*!
* @brief crops a bounding box with another one.
*
* this could be useful for getting a bbox which fits with view frustum and
* object bounding boxes. In this case you crop view frustum box with objects
* box
*
* @param[in] box bounding box
* @param[in] cropBox crop box
* @param[in] clampBox minimum box
* @param[out] dest cropped bounding box
*/
CGLM_INLINE
void
glm_aabb_crop_until(vec3 box[2],
vec3 cropBox[2],
vec3 clampBox[2],
vec3 dest[2]) {
glm_aabb_crop(box, cropBox, dest);
glm_aabb_merge(clampBox, dest, dest);
}
/*!
* @brief check if AABB intersects with frustum planes
*
* this could be useful for frustum culling using AABB.
*
* OPTIMIZATION HINT:
* if planes order is similar to LEFT, RIGHT, BOTTOM, TOP, NEAR, FAR
* then this method should run even faster because it would only use two
* planes if object is not inside the two planes
* fortunately cglm extracts planes as this order! just pass what you got!
*
* @param[in] box bounding box
* @param[in] planes frustum planes
*/
CGLM_INLINE
bool
glm_aabb_frustum(vec3 box[2], vec4 planes[6]) {
float *p, dp;
int i;
for (i = 0; i < 6; i++) {
p = planes[i];
dp = p[0] * box[p[0] > 0.0f][0]
+ p[1] * box[p[1] > 0.0f][1]
+ p[2] * box[p[2] > 0.0f][2];
if (dp < -p[3])
return false;
}
return true;
}
/*!
* @brief invalidate AABB min and max values
*
* @param[in, out] box bounding box
*/
CGLM_INLINE
void
glm_aabb_invalidate(vec3 box[2]) {
glm_vec3_broadcast(FLT_MAX, box[0]);
glm_vec3_broadcast(-FLT_MAX, box[1]);
}
/*!
* @brief check if AABB is valid or not
*
* @param[in] box bounding box
*/
CGLM_INLINE
bool
glm_aabb_isvalid(vec3 box[2]) {
return glm_vec3_max(box[0]) != FLT_MAX
&& glm_vec3_min(box[1]) != -FLT_MAX;
}
/*!
* @brief distance between of min and max
*
* @param[in] box bounding box
*/
CGLM_INLINE
float
glm_aabb_size(vec3 box[2]) {
return glm_vec3_distance(box[0], box[1]);
}
/*!
* @brief radius of sphere which surrounds AABB
*
* @param[in] box bounding box
*/
CGLM_INLINE
float
glm_aabb_radius(vec3 box[2]) {
return glm_aabb_size(box) * 0.5f;
}
/*!
* @brief computes center point of AABB
*
* @param[in] box bounding box
* @param[out] dest center of bounding box
*/
CGLM_INLINE
void
glm_aabb_center(vec3 box[2], vec3 dest) {
glm_vec3_center(box[0], box[1], dest);
}
/*!
* @brief check if two AABB intersects
*
* @param[in] box bounding box
* @param[in] other other bounding box
*/
CGLM_INLINE
bool
glm_aabb_aabb(vec3 box[2], vec3 other[2]) {
return (box[0][0] <= other[1][0] && box[1][0] >= other[0][0])
&& (box[0][1] <= other[1][1] && box[1][1] >= other[0][1])
&& (box[0][2] <= other[1][2] && box[1][2] >= other[0][2]);
}
/*!
* @brief check if AABB intersects with sphere
*
* https://github.com/erich666/GraphicsGems/blob/master/gems/BoxSphere.c
* Solid Box - Solid Sphere test.
*
* Sphere Representation in cglm: [center.x, center.y, center.z, radii]
*
* @param[in] box solid bounding box
* @param[in] s solid sphere
*/
CGLM_INLINE
bool
glm_aabb_sphere(vec3 box[2], vec4 s) {
float dmin;
int a, b, c;
a = (s[0] < box[0][0]) + (s[0] > box[1][0]);
b = (s[1] < box[0][1]) + (s[1] > box[1][1]);
c = (s[2] < box[0][2]) + (s[2] > box[1][2]);
dmin = glm_pow2((s[0] - box[!(a - 1)][0]) * (a != 0))
+ glm_pow2((s[1] - box[!(b - 1)][1]) * (b != 0))
+ glm_pow2((s[2] - box[!(c - 1)][2]) * (c != 0));
return dmin <= glm_pow2(s[3]);
}
/*!
* @brief check if point is inside of AABB
*
* @param[in] box bounding box
* @param[in] point point
*/
CGLM_INLINE
bool
glm_aabb_point(vec3 box[2], vec3 point) {
return (point[0] >= box[0][0] && point[0] <= box[1][0])
&& (point[1] >= box[0][1] && point[1] <= box[1][1])
&& (point[2] >= box[0][2] && point[2] <= box[1][2]);
}
/*!
* @brief check if AABB contains other AABB
*
* @param[in] box bounding box
* @param[in] other other bounding box
*/
CGLM_INLINE
bool
glm_aabb_contains(vec3 box[2], vec3 other[2]) {
return (box[0][0] <= other[0][0] && box[1][0] >= other[1][0])
&& (box[0][1] <= other[0][1] && box[1][1] >= other[1][1])
&& (box[0][2] <= other[0][2] && box[1][2] >= other[1][2]);
}
#endif /* cglm_box_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglm_call_h
#define cglm_call_h
#ifdef __cplusplus
extern "C" {
#endif
#include "cglm.h"
#include "call/vec2.h"
#include "call/vec3.h"
#include "call/vec4.h"
#include "call/ivec2.h"
#include "call/ivec3.h"
#include "call/ivec4.h"
#include "call/mat2.h"
#include "call/mat2x3.h"
#include "call/mat2x4.h"
#include "call/mat3.h"
#include "call/mat3x2.h"
#include "call/mat3x4.h"
#include "call/mat4.h"
#include "call/mat4x2.h"
#include "call/mat4x3.h"
#include "call/affine.h"
#include "call/cam.h"
#include "call/quat.h"
#include "call/euler.h"
#include "call/plane.h"
#include "call/noise.h"
#include "call/frustum.h"
#include "call/aabb2d.h"
#include "call/box.h"
#include "call/io.h"
#include "call/project.h"
#include "call/sphere.h"
#include "call/ease.h"
#include "call/curve.h"
#include "call/bezier.h"
#include "call/ray.h"
#include "call/affine2d.h"
#ifdef __cplusplus
}
#endif
#endif /* cglm_call_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglmc_aabb2d_h
#define cglmc_aabb2d_h
#ifdef __cplusplus
extern "C" {
#endif
#include "../cglm.h"
/* DEPRECATED! use _diag */
#define glmc_aabb2d_size(aabb) glmc_aabb2d_diag(aabb)
CGLM_EXPORT
void
glmc_aabb2d_zero(vec2 aabb[2]);
CGLM_EXPORT
void
glmc_aabb2d_copy(vec2 aabb[2], vec2 dest[2]);
CGLM_EXPORT
void
glmc_aabb2d_transform(vec2 aabb[2], mat3 m, vec2 dest[2]);
CGLM_EXPORT
void
glmc_aabb2d_merge(vec2 aabb1[2], vec2 aabb2[2], vec2 dest[2]);
CGLM_EXPORT
void
glmc_aabb2d_crop(vec2 aabb[2], vec2 cropAabb[2], vec2 dest[2]);
CGLM_EXPORT
void
glmc_aabb2d_crop_until(vec2 aabb[2],
vec2 cropAabb[2],
vec2 clampAabb[2],
vec2 dest[2]);
CGLM_EXPORT
void
glmc_aabb2d_invalidate(vec2 aabb[2]);
CGLM_EXPORT
bool
glmc_aabb2d_isvalid(vec2 aabb[2]);
CGLM_EXPORT
float
glmc_aabb2d_diag(vec2 aabb[2]);
CGLM_EXPORT
void
glmc_aabb2d_sizev(vec2 aabb[2], vec2 dest);
CGLM_EXPORT
float
glmc_aabb2d_radius(vec2 aabb[2]);
CGLM_EXPORT
void
glmc_aabb2d_center(vec2 aabb[2], vec2 dest);
CGLM_EXPORT
bool
glmc_aabb2d_aabb(vec2 aabb[2], vec2 other[2]);
CGLM_EXPORT
bool
glmc_aabb2d_point(vec2 aabb[2], vec2 point);
CGLM_EXPORT
bool
glmc_aabb2d_contains(vec2 aabb[2], vec2 other[2]);
CGLM_EXPORT
bool
glmc_aabb2d_circle(vec2 aabb[2], vec3 s);
#ifdef __cplusplus
}
#endif
#endif /* cglmc_aabb2d_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglmc_affine_h
#define cglmc_affine_h
#ifdef __cplusplus
extern "C" {
#endif
#include "../cglm.h"
CGLM_EXPORT
void
glmc_translate_make(mat4 m, vec3 v);
CGLM_EXPORT
void
glmc_translate_to(mat4 m, vec3 v, mat4 dest);
CGLM_EXPORT
void
glmc_translate(mat4 m, vec3 v);
CGLM_EXPORT
void
glmc_translate_x(mat4 m, float to);
CGLM_EXPORT
void
glmc_translate_y(mat4 m, float to);
CGLM_EXPORT
void
glmc_translate_z(mat4 m, float to);
CGLM_EXPORT
void
glmc_scale_make(mat4 m, vec3 v);
CGLM_EXPORT
void
glmc_scale_to(mat4 m, vec3 v, mat4 dest);
CGLM_EXPORT
void
glmc_scale(mat4 m, vec3 v);
CGLM_EXPORT
void
glmc_scale_uni(mat4 m, float s);
CGLM_EXPORT
void
glmc_rotate_x(mat4 m, float rad, mat4 dest);
CGLM_EXPORT
void
glmc_rotate_y(mat4 m, float rad, mat4 dest);
CGLM_EXPORT
void
glmc_rotate_z(mat4 m, float rad, mat4 dest);
CGLM_EXPORT
void
glmc_rotate_make(mat4 m, float angle, vec3 axis);
CGLM_EXPORT
void
glmc_rotate(mat4 m, float angle, vec3 axis);
CGLM_EXPORT
void
glmc_rotate_at(mat4 m, vec3 pivot, float angle, vec3 axis);
CGLM_EXPORT
void
glmc_rotate_atm(mat4 m, vec3 pivot, float angle, vec3 axis);
CGLM_EXPORT
void
glmc_spin(mat4 m, float angle, vec3 axis);
CGLM_EXPORT
void
glmc_decompose_scalev(mat4 m, vec3 s);
CGLM_EXPORT
bool
glmc_uniscaled(mat4 m);
CGLM_EXPORT
void
glmc_decompose_rs(mat4 m, mat4 r, vec3 s);
CGLM_EXPORT
void
glmc_decompose(mat4 m, vec4 t, mat4 r, vec3 s);
/* affine-post */
CGLM_EXPORT
void
glmc_translated(mat4 m, vec3 v);
CGLM_EXPORT
void
glmc_translated_to(mat4 m, vec3 v, mat4 dest);
CGLM_EXPORT
void
glmc_translated_x(mat4 m, float x);
CGLM_EXPORT
void
glmc_translated_y(mat4 m, float y);
CGLM_EXPORT
void
glmc_translated_z(mat4 m, float z);
CGLM_EXPORT
void
glmc_rotated_x(mat4 m, float angle, mat4 dest);
CGLM_EXPORT
void
glmc_rotated_y(mat4 m, float angle, mat4 dest);
CGLM_EXPORT
void
glmc_rotated_z(mat4 m, float angle, mat4 dest);
CGLM_EXPORT
void
glmc_rotated(mat4 m, float angle, vec3 axis);
CGLM_EXPORT
void
glmc_rotated_at(mat4 m, vec3 pivot, float angle, vec3 axis);
CGLM_EXPORT
void
glmc_spinned(mat4 m, float angle, vec3 axis);
/* affine-mat */
CGLM_EXPORT
void
glmc_mul(mat4 m1, mat4 m2, mat4 dest);
CGLM_EXPORT
void
glmc_mul_rot(mat4 m1, mat4 m2, mat4 dest);
CGLM_EXPORT
void
glmc_inv_tr(mat4 mat);
#ifdef __cplusplus
}
#endif
#endif /* cglmc_affine_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglmc_affine2d_h
#define cglmc_affine2d_h
#ifdef __cplusplus
extern "C" {
#endif
#include "../cglm.h"
CGLM_EXPORT
void
glmc_translate2d_make(mat3 m, vec2 v);
CGLM_EXPORT
void
glmc_translate2d_to(mat3 m, vec2 v, mat3 dest);
CGLM_EXPORT
void
glmc_translate2d(mat3 m, vec2 v);
CGLM_EXPORT
void
glmc_translate2d_x(mat3 m, float to);
CGLM_EXPORT
void
glmc_translate2d_y(mat3 m, float to);
CGLM_EXPORT
void
glmc_scale2d_to(mat3 m, vec2 v, mat3 dest);
CGLM_EXPORT
void
glmc_scale2d_make(mat3 m, vec2 v);
CGLM_EXPORT
void
glmc_scale2d(mat3 m, vec2 v);
CGLM_EXPORT
void
glmc_scale2d_uni(mat3 m, float s);
CGLM_EXPORT
void
glmc_rotate2d_make(mat3 m, float angle);
CGLM_EXPORT
void
glmc_rotate2d(mat3 m, float angle);
CGLM_EXPORT
void
glmc_rotate2d_to(mat3 m, float angle, mat3 dest);
#ifdef __cplusplus
}
#endif
#endif /* cglmc_affine2d_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglmc_bezier_h
#define cglmc_bezier_h
#ifdef __cplusplus
extern "C" {
#endif
#include "../cglm.h"
CGLM_EXPORT
float
glmc_bezier(float s, float p0, float c0, float c1, float p1);
CGLM_EXPORT
float
glmc_hermite(float s, float p0, float t0, float t1, float p1);
CGLM_EXPORT
float
glmc_decasteljau(float prm, float p0, float c0, float c1, float p1);
#ifdef __cplusplus
}
#endif
#endif /* cglmc_bezier_h */
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/*
* Copyright (c), Recep Aslantas.
*
* MIT License (MIT), http://opensource.org/licenses/MIT
* Full license can be found in the LICENSE file
*/
#ifndef cglmc_box_h
#define cglmc_box_h
#ifdef __cplusplus
extern "C" {
#endif
#include "../cglm.h"
CGLM_EXPORT
void
glmc_aabb_transform(vec3 box[2], mat4 m, vec3 dest[2]);
CGLM_EXPORT
void
glmc_aabb_merge(vec3 box1[2], vec3 box2[2], vec3 dest[2]);
CGLM_EXPORT
void
glmc_aabb_crop(vec3 box[2], vec3 cropBox[2], vec3 dest[2]);
CGLM_EXPORT
void
glmc_aabb_crop_until(vec3 box[2],
vec3 cropBox[2],
vec3 clampBox[2],
vec3 dest[2]);
CGLM_EXPORT
bool
glmc_aabb_frustum(vec3 box[2], vec4 planes[6]);
CGLM_EXPORT
void
glmc_aabb_invalidate(vec3 box[2]);
CGLM_EXPORT
bool
glmc_aabb_isvalid(vec3 box[2]);
CGLM_EXPORT
float
glmc_aabb_size(vec3 box[2]);
CGLM_EXPORT
float
glmc_aabb_radius(vec3 box[2]);
CGLM_EXPORT
void
glmc_aabb_center(vec3 box[2], vec3 dest);
CGLM_EXPORT
bool
glmc_aabb_aabb(vec3 box[2], vec3 other[2]);
CGLM_EXPORT
bool
glmc_aabb_point(vec3 box[2], vec3 point);
CGLM_EXPORT
bool
glmc_aabb_contains(vec3 box[2], vec3 other[2]);
CGLM_EXPORT
bool
glmc_aabb_sphere(vec3 box[2], vec4 s);
#ifdef __cplusplus
}
#endif
#endif /* cglmc_box_h */

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