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v1.0.0
| Author | SHA1 | Date | |
|---|---|---|---|
| 3b9adb0ddc | |||
| 889a42f9b5 | |||
| 8dc5ef8f24 | |||
| 0b685eb30b | |||
| aa8e3b1637 | |||
| 830c64b25a | |||
| a6fe9c2f2c | |||
| 75d5a197a9 |
@@ -4,8 +4,14 @@ project(SmathExamples LANGUAGES CXX VERSION 0.1.0)
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|||||||
set(CMAKE_CXX_STANDARD 23)
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set(CMAKE_CXX_STANDARD 23)
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||||||
set(CMAKE_CXX_STANDARD_REQUIRED ON)
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set(CMAKE_CXX_STANDARD_REQUIRED ON)
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||||||
|
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||||||
option(BUILD_EXAMPLES "Build example programs" ON)
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option(SMATH_BUILD_EXAMPLES "Build example programs" ON)
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option(BUILD_TESTS "Build unit tests" ON)
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option(SMATH_BUILD_TESTS "Build unit tests" ON)
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||||||
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option(SMATH_BUILD_MODULES "Enable C++20 modules support" OFF)
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||||||
|
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||||||
|
if(SMATH_BUILD_MODULES)
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message(STATUS "Building smath C++ module")
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add_subdirectory(src/modules)
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|
endif()
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|
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add_library(smath INTERFACE)
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add_library(smath INTERFACE)
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target_include_directories(smath
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target_include_directories(smath
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@@ -55,7 +61,7 @@ install(FILES
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DESTINATION lib/cmake/smath
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DESTINATION lib/cmake/smath
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)
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)
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||||||
|
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if(BUILD_EXAMPLES)
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if(SMATH_BUILD_EXAMPLES)
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file(GLOB EXAMPLE_SOURCES "${CMAKE_SOURCE_DIR}/examples/*.cpp")
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file(GLOB EXAMPLE_SOURCES "${CMAKE_SOURCE_DIR}/examples/*.cpp")
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foreach(EXAMPLE_FILE ${EXAMPLE_SOURCES})
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foreach(EXAMPLE_FILE ${EXAMPLE_SOURCES})
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get_filename_component(EXAMPLE_NAME ${EXAMPLE_FILE} NAME_WE)
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get_filename_component(EXAMPLE_NAME ${EXAMPLE_FILE} NAME_WE)
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@@ -64,7 +70,7 @@ if(BUILD_EXAMPLES)
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endforeach()
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endforeach()
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endif()
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endif()
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||||||
|
|
||||||
if(BUILD_TESTS)
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if(SMATH_BUILD_TESTS)
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enable_testing()
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enable_testing()
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|
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find_package(GTest QUIET)
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find_package(GTest QUIET)
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45
README.md
45
README.md
@@ -1,6 +1,43 @@
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# smath
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<p align="center">
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|
<img alt="smath logo" src="https://github.com/user-attachments/assets/d6f2ef4b-eca0-4004-9099-37423528bcba" />
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|
<br><br>
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||||||
|
<a href="https://github.com/slendidev/smath/actions/workflows/build.yml">
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||||||
|
<img src="https://github.com/slendidev/smath/actions/workflows/build.yml/badge.svg" alt="Build">
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||||||
|
</a>
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||||||
|
<a href="LICENSE.txt">
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|
<img src="https://img.shields.io/badge/license-Apache%202.0-blue.svg" alt="License: Apache-2.0">
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||||||
|
</a>
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||||||
|
<a href="https://en.cppreference.com/w/cpp/23">
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||||||
|
<img src="https://img.shields.io/badge/C%2B%2B-23-00599C.svg" alt="C++23">
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||||||
|
</a>
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||||||
|
</p>
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||||||
|
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||||||
Single-file, header-only linear algebra math library for C++23.
|
## Quick Start
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||||||
|
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||||||
|
Create `main.cpp`:
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|
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||||||
|
```cpp
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|
#include <print>
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|
#include <smath.hpp>
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|
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||||||
|
int main() {
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|
using namespace smath;
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|
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||||||
|
Vec3 a{1.0f, 2.0f, 3.0f};
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|
Vec3 b{3.0f, 2.0f, 1.0f};
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|
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||||||
|
std::println("a + b = {}", a + b);
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|
std::println("dot(a, b) = {}", a.dot(b));
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|
std::println("normalized(a) = {}", a.normalized());
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|
}
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||||||
|
```
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||||||
|
|
||||||
|
Build and run:
|
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|
|
||||||
|
```bash
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|
g++ -std=c++23 -Iinclude main.cpp -o quickstart
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||||||
|
./quickstart
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||||||
|
```
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||||||
|
|
||||||
## Features
|
## Features
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||||||
|
|
||||||
@@ -12,8 +49,8 @@ Single-file, header-only linear algebra math library for C++23.
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|||||||
- Angle helpers `rad/deg/turns` respecting a configurable base unit via the macro `SMATH_ANGLE_UNIT`.
|
- Angle helpers `rad/deg/turns` respecting a configurable base unit via the macro `SMATH_ANGLE_UNIT`.
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||||||
- Optional implicit conversions.
|
- Optional implicit conversions.
|
||||||
- Packing utilities for normalized RGBA (`pack_unorm4x8`, `unpack_snorm4x8`, etc.).
|
- Packing utilities for normalized RGBA (`pack_unorm4x8`, `unpack_snorm4x8`, etc.).
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||||||
|
- C++20 modules support.
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||||||
|
|
||||||
## License
|
## License
|
||||||
|
|
||||||
This library is licensed under the Apache License 2.0. See the (LICENSE.txt)[LICENSE.txt] file for more details.
|
This library is licensed under the Apache License 2.0. See the [LICENSE.txt](LICENSE.txt) file for more details.
|
||||||
|
|
||||||
|
|||||||
@@ -188,9 +188,12 @@ public:
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// NOTE: This can (probably) be improved with C++26 reflection in the
|
// NOTE: This can (probably) be improved with C++26 reflection in the
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// future.
|
// future.
|
||||||
#define VEC_ACC(component, req, idx) \
|
#define VEC_ACC(component, req, idx) \
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||||||
constexpr auto component() noexcept -> T &requires(N >= req) { \
|
constexpr auto component() noexcept -> T & \
|
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|
requires(N >= req) \
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||||||
|
{ \
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||||||
return (*this)[idx]; \
|
return (*this)[idx]; \
|
||||||
} constexpr auto component() const->T const & \
|
} \
|
||||||
|
constexpr auto component() const -> T const & \
|
||||||
requires(N >= req) \
|
requires(N >= req) \
|
||||||
{ \
|
{ \
|
||||||
return (*this)[idx]; \
|
return (*this)[idx]; \
|
||||||
@@ -421,8 +424,9 @@ public:
|
|||||||
}
|
}
|
||||||
|
|
||||||
template<class U>
|
template<class U>
|
||||||
requires(std::is_arithmetic_v<U> && N >= 1) constexpr explicit(
|
requires(std::is_arithmetic_v<U> && N >= 1)
|
||||||
!std::is_convertible_v<T, U>) operator Vec<N, U>() const noexcept
|
constexpr explicit(!std::is_convertible_v<T, U>)
|
||||||
|
operator Vec<N, U>() const noexcept
|
||||||
{
|
{
|
||||||
Vec<N, U> r {};
|
Vec<N, U> r {};
|
||||||
for (std::size_t i = 0; i < N; ++i)
|
for (std::size_t i = 0; i < N; ++i)
|
||||||
@@ -446,9 +450,8 @@ private:
|
|||||||
}
|
}
|
||||||
#ifdef SMATH_IMPLICIT_CONVERSIONS
|
#ifdef SMATH_IMPLICIT_CONVERSIONS
|
||||||
template<class U>
|
template<class U>
|
||||||
requires std::is_arithmetic_v<U>
|
requires std::is_arithmetic_v<U> && (!std::is_same_v<U, T>)constexpr void
|
||||||
&& (!std::is_same_v<U, T>)constexpr void fill_one(
|
fill_one(std::size_t &i, const U &v) noexcept
|
||||||
std::size_t &i, const U &v) noexcept
|
|
||||||
{
|
{
|
||||||
(*this)[i++] = static_cast<T>(v);
|
(*this)[i++] = static_cast<T>(v);
|
||||||
}
|
}
|
||||||
@@ -577,44 +580,54 @@ using Vec2d = Vec<2, double>;
|
|||||||
using Vec3d = Vec<3, double>;
|
using Vec3d = Vec<3, double>;
|
||||||
using Vec4d = Vec<4, double>;
|
using Vec4d = Vec<4, double>;
|
||||||
|
|
||||||
template<class T> constexpr auto deg(T const value) -> T
|
template<class T>
|
||||||
|
using angle_ret_t = std::conditional_t<std::is_same_v<T, float>, float, double>;
|
||||||
|
|
||||||
|
template<class T> constexpr auto deg(T value)
|
||||||
{
|
{
|
||||||
|
using R = angle_ret_t<T>;
|
||||||
|
|
||||||
if constexpr (detail::SMATH_ANGLE_UNIT_ID == detail::AngularUnit::Degrees) {
|
if constexpr (detail::SMATH_ANGLE_UNIT_ID == detail::AngularUnit::Degrees) {
|
||||||
return value;
|
return static_cast<R>(value);
|
||||||
} else if constexpr (detail::SMATH_ANGLE_UNIT_ID
|
} else if constexpr (detail::SMATH_ANGLE_UNIT_ID
|
||||||
== detail::AngularUnit::Radians) {
|
== detail::AngularUnit::Radians) {
|
||||||
return value * static_cast<T>(std::numbers::pi / 180.0);
|
return static_cast<R>(value) * static_cast<R>(std::numbers::pi / 180.0);
|
||||||
} else if constexpr (detail::SMATH_ANGLE_UNIT_ID
|
} else {
|
||||||
== detail::AngularUnit::Turns) {
|
return static_cast<R>(value) / static_cast<R>(360.0);
|
||||||
return value / static_cast<T>(360.0);
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
template<class T> constexpr auto rad(T const value) -> T
|
template<class T> constexpr auto rad(T value)
|
||||||
{
|
{
|
||||||
|
using R = angle_ret_t<T>;
|
||||||
|
|
||||||
if constexpr (detail::SMATH_ANGLE_UNIT_ID == detail::AngularUnit::Degrees) {
|
if constexpr (detail::SMATH_ANGLE_UNIT_ID == detail::AngularUnit::Degrees) {
|
||||||
return value * static_cast<T>(180.0 / std::numbers::pi);
|
return static_cast<R>(value) * static_cast<R>(180.0 / std::numbers::pi);
|
||||||
} else if constexpr (detail::SMATH_ANGLE_UNIT_ID
|
} else if constexpr (detail::SMATH_ANGLE_UNIT_ID
|
||||||
== detail::AngularUnit::Radians) {
|
== detail::AngularUnit::Radians) {
|
||||||
return value;
|
return static_cast<R>(value);
|
||||||
} else if constexpr (detail::SMATH_ANGLE_UNIT_ID
|
} else {
|
||||||
== detail::AngularUnit::Turns) {
|
return static_cast<R>(value)
|
||||||
return value / (static_cast<T>(2.0) * static_cast<T>(std::numbers::pi));
|
/ (static_cast<R>(2.0) * static_cast<R>(std::numbers::pi));
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
template<class T> constexpr auto turns(T const value) -> T
|
template<class T> constexpr auto turns(T value)
|
||||||
{
|
{
|
||||||
|
using R = angle_ret_t<T>;
|
||||||
|
|
||||||
if constexpr (detail::SMATH_ANGLE_UNIT_ID == detail::AngularUnit::Degrees) {
|
if constexpr (detail::SMATH_ANGLE_UNIT_ID == detail::AngularUnit::Degrees) {
|
||||||
return value * static_cast<T>(360.0);
|
return static_cast<R>(value) * static_cast<R>(360.0);
|
||||||
} else if constexpr (detail::SMATH_ANGLE_UNIT_ID
|
} else if constexpr (detail::SMATH_ANGLE_UNIT_ID
|
||||||
== detail::AngularUnit::Radians) {
|
== detail::AngularUnit::Radians) {
|
||||||
return value * (static_cast<T>(2.0) * static_cast<T>(std::numbers::pi));
|
return static_cast<R>(value)
|
||||||
} else if constexpr (detail::SMATH_ANGLE_UNIT_ID
|
* (static_cast<R>(2.0) * static_cast<R>(std::numbers::pi));
|
||||||
== detail::AngularUnit::Turns) {
|
} else {
|
||||||
return value;
|
return static_cast<R>(value);
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
template<std::size_t R, std::size_t C, typename T>
|
||||||
|
requires std::is_arithmetic_v<T> struct Mat;
|
||||||
|
|
||||||
template<class T> struct Quaternion : Vec<4, T> {
|
template<class T> struct Quaternion : Vec<4, T> {
|
||||||
using Base = Vec<4, T>;
|
using Base = Vec<4, T>;
|
||||||
@@ -625,9 +638,13 @@ template<class T> struct Quaternion : Vec<4, T> {
|
|||||||
constexpr Base const &vec() const noexcept { return *this; }
|
constexpr Base const &vec() const noexcept { return *this; }
|
||||||
|
|
||||||
constexpr T &x() noexcept { return Base::x(); }
|
constexpr T &x() noexcept { return Base::x(); }
|
||||||
|
constexpr T const &x() const noexcept { return Base::x(); }
|
||||||
constexpr T &y() noexcept { return Base::y(); }
|
constexpr T &y() noexcept { return Base::y(); }
|
||||||
|
constexpr T const &y() const noexcept { return Base::y(); }
|
||||||
constexpr T &z() noexcept { return Base::z(); }
|
constexpr T &z() noexcept { return Base::z(); }
|
||||||
|
constexpr T const &z() const noexcept { return Base::z(); }
|
||||||
constexpr T &w() noexcept { return Base::w(); }
|
constexpr T &w() noexcept { return Base::w(); }
|
||||||
|
constexpr T const &w() const noexcept { return Base::w(); }
|
||||||
|
|
||||||
constexpr auto operator*(Quaternion const &rhs) const noexcept -> Quaternion
|
constexpr auto operator*(Quaternion const &rhs) const noexcept -> Quaternion
|
||||||
{
|
{
|
||||||
@@ -645,6 +662,42 @@ template<class T> struct Quaternion : Vec<4, T> {
|
|||||||
|
|
||||||
return r;
|
return r;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
[[nodiscard]] constexpr auto as_matrix() const noexcept -> Mat<4, 4, T>
|
||||||
|
{
|
||||||
|
auto const xx = x() * x();
|
||||||
|
auto const yy = y() * y();
|
||||||
|
auto const zz = z() * z();
|
||||||
|
auto const xy = x() * y();
|
||||||
|
auto const xz = x() * z();
|
||||||
|
auto const yz = y() * z();
|
||||||
|
auto const wx = w() * x();
|
||||||
|
auto const wy = w() * y();
|
||||||
|
auto const wz = w() * z();
|
||||||
|
|
||||||
|
return Mat<4, 4, T> {
|
||||||
|
Vec<4, T> { 1 - 2 * (yy + zz), 2 * (xy + wz), 2 * (xz - wy), 0 },
|
||||||
|
Vec<4, T> { 2 * (xy - wz), 1 - 2 * (xx + zz), 2 * (yz + wx), 0 },
|
||||||
|
Vec<4, T> { 2 * (xz + wy), 2 * (yz - wx), 1 - 2 * (xx + yy), 0 },
|
||||||
|
Vec<4, T> { 0, 0, 0, 1 },
|
||||||
|
};
|
||||||
|
}
|
||||||
|
|
||||||
|
[[nodiscard]] static constexpr auto from_axis_angle(
|
||||||
|
Vec<3, T> const &axis, T const angle) noexcept -> Quaternion
|
||||||
|
{
|
||||||
|
auto const normalized_axis { axis.normalized_safe() };
|
||||||
|
auto const half_angle { angle / static_cast<T>(2) };
|
||||||
|
auto const sine { std::sin(half_angle) };
|
||||||
|
auto const cosine { std::cos(half_angle) };
|
||||||
|
|
||||||
|
return Quaternion {
|
||||||
|
normalized_axis.x() * sine,
|
||||||
|
normalized_axis.y() * sine,
|
||||||
|
normalized_axis.z() * sine,
|
||||||
|
cosine,
|
||||||
|
};
|
||||||
|
}
|
||||||
};
|
};
|
||||||
|
|
||||||
template<class T>
|
template<class T>
|
||||||
@@ -1096,28 +1149,18 @@ inline auto matrix_perspective(
|
|||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
[[nodiscard]] inline auto matrix_look_at(Vec<3, T> const eye,
|
[[nodiscard]] inline auto matrix_look_at(Vec<3, T> const eye,
|
||||||
Vec<3, T> const center, Vec<3, T> const up, bool flip_z_axis = false)
|
Vec<3, T> const center, Vec<3, T> const up) -> Mat<4, 4, T>
|
||||||
-> Mat<4, 4, T>
|
|
||||||
{
|
{
|
||||||
auto f = (center - eye).normalized();
|
auto f = (center - eye).normalized_safe();
|
||||||
auto s = f.cross(up).normalized();
|
auto s = f.cross(up).normalized_safe();
|
||||||
auto u = s.cross(f);
|
auto u = s.cross(f);
|
||||||
|
|
||||||
if (!flip_z_axis) {
|
|
||||||
return Mat<4, 4, T> {
|
return Mat<4, 4, T> {
|
||||||
Vec<4, T> { s.x(), s.y(), s.z(), 0 },
|
Vec<4, T> { s.x(), u.x(), -f.x(), 0 },
|
||||||
Vec<4, T> { u.x(), u.y(), u.z(), 0 },
|
Vec<4, T> { s.y(), u.y(), -f.y(), 0 },
|
||||||
Vec<4, T> { -f.x(), -f.y(), -f.z(), 0 },
|
Vec<4, T> { s.z(), u.z(), -f.z(), 0 },
|
||||||
Vec<4, T> { -s.dot(eye), -u.dot(eye), f.dot(eye), 1 },
|
Vec<4, T> { -s.dot(eye), -u.dot(eye), f.dot(eye), 1 },
|
||||||
};
|
};
|
||||||
} else {
|
|
||||||
return Mat<4, 4, T> {
|
|
||||||
Vec<4, T> { s.x(), s.y(), s.z(), 0 },
|
|
||||||
Vec<4, T> { u.x(), u.y(), u.z(), 0 },
|
|
||||||
Vec<4, T> { f.x(), f.y(), f.z(), 0 },
|
|
||||||
Vec<4, T> { -s.dot(eye), -u.dot(eye), -f.dot(eye), 1 },
|
|
||||||
};
|
|
||||||
}
|
|
||||||
}
|
}
|
||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
|
|||||||
8
src/modules/CMakeLists.txt
Normal file
8
src/modules/CMakeLists.txt
Normal file
@@ -0,0 +1,8 @@
|
|||||||
|
add_library(smath_modules)
|
||||||
|
|
||||||
|
target_sources(smath_modules PUBLIC FILE_SET CXX_MODULES FILES smath.cppm)
|
||||||
|
|
||||||
|
target_link_libraries(smath_modules PUBLIC smath::smath)
|
||||||
|
|
||||||
|
target_compile_features(smath_modules PUBLIC cxx_std_20)
|
||||||
|
|
||||||
54
src/modules/smath.cppm
Normal file
54
src/modules/smath.cppm
Normal file
@@ -0,0 +1,54 @@
|
|||||||
|
module;
|
||||||
|
|
||||||
|
#include "smath.hpp"
|
||||||
|
|
||||||
|
export module smath;
|
||||||
|
|
||||||
|
export namespace smath {
|
||||||
|
export using ::smath::Vec;
|
||||||
|
export using ::smath::VecOrScalar;
|
||||||
|
export using ::smath::Quaternion;
|
||||||
|
export using ::smath::Mat;
|
||||||
|
|
||||||
|
export using ::smath::Vec2;
|
||||||
|
export using ::smath::Vec3;
|
||||||
|
export using ::smath::Vec4;
|
||||||
|
|
||||||
|
export using ::smath::Vec2d;
|
||||||
|
export using ::smath::Vec3d;
|
||||||
|
export using ::smath::Vec4d;
|
||||||
|
|
||||||
|
export using ::smath::Mat2;
|
||||||
|
export using ::smath::Mat3;
|
||||||
|
export using ::smath::Mat4;
|
||||||
|
|
||||||
|
export using ::smath::Mat2d;
|
||||||
|
export using ::smath::Mat3d;
|
||||||
|
export using ::smath::Mat4d;
|
||||||
|
|
||||||
|
export using ::smath::swizzle;
|
||||||
|
|
||||||
|
export using ::smath::deg;
|
||||||
|
export using ::smath::rad;
|
||||||
|
export using ::smath::turns;
|
||||||
|
|
||||||
|
export using ::smath::pack_unorm4x8;
|
||||||
|
export using ::smath::pack_snorm4x8;
|
||||||
|
export using ::smath::unpack_unorm4x8;
|
||||||
|
export using ::smath::unpack_snorm4x8;
|
||||||
|
|
||||||
|
export using ::smath::operator*;
|
||||||
|
|
||||||
|
export using ::smath::translate;
|
||||||
|
export using ::smath::rotate;
|
||||||
|
export using ::smath::scale;
|
||||||
|
|
||||||
|
export using ::smath::shear_x;
|
||||||
|
export using ::smath::shear_y;
|
||||||
|
export using ::smath::shear_z;
|
||||||
|
|
||||||
|
export using ::smath::matrix_ortho3d;
|
||||||
|
export using ::smath::matrix_perspective;
|
||||||
|
export using ::smath::matrix_infinite_perspective;
|
||||||
|
export using ::smath::matrix_look_at;
|
||||||
|
}
|
||||||
Reference in New Issue
Block a user