test(math): add tests & complete some implementations
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12 changed files with 1126 additions and 73 deletions
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@ -41,7 +41,11 @@ add_module(
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DEPENDENCIES
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preliminary
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TESTS
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trig.test.cpp
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vec2.test.cpp
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vec3.test.cpp
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vec4.test.cpp
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mat4.test.cpp
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)
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add_module(
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@ -32,12 +32,12 @@ export namespace lt::math {
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*
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* the 1 at [z][3] is to save the Z axis into the resulting W for perspective division.
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*
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* @ref Thanks to pikuma for explaining the math behind this:
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* @ref Thanks to @pikuma for explaining the math behind this:
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* https://www.youtube.com/watch?v=EqNcqBdrNyI
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*/
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template<typename T>
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requires(std::is_arithmetic_v<T>)
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constexpr auto perspective(T field_of_view, T aspect_ratio, T z_near, T z_far)
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constexpr auto perspective(T field_of_view, T aspect_ratio, T z_near, T z_far) -> mat4_impl<T>
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{
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const T half_fov_tan = std::tan(field_of_view / static_cast<T>(2));
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@ -7,13 +7,20 @@ import math.vec4;
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export namespace lt::math {
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/** A 4 by 4 matrix, column major order
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*
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* @todo(Light): Use std::simd when it's implemented. */
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template<typename T = f32>
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requires(std::is_arithmetic_v<T>)
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struct mat4_impl
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{
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using Column_T = vec4_impl<T>;
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constexpr explicit mat4_impl(T scalar = 0)
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using Underlying_T = Column_T::Underlying_T;
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static constexpr auto num_elements = 4u * 4u;
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constexpr explicit mat4_impl(T scalar = T {})
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: values(
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{
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Column_T { scalar },
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@ -25,13 +32,12 @@ struct mat4_impl
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{
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}
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// clang-format off
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constexpr mat4_impl(
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const T& x0, const T& y0, const T& z0, const T& w0,
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const T& x1, const T& y1, const T& z1, const T& w1,
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const T& x2, const T& y2, const T& z2, const T& w2,
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const T& x3, const T& y3, const T& z3, const T& w3
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)
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constexpr mat4_impl(
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// clang-format off
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const T& x0, const T& x1, const T& x2, const T& x3,
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const T& y0, const T& y1, const T& y2, const T& y3,
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const T& z0, const T& z1, const T& z2, const T& z3,
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const T& w0, const T& w1, const T& w2, const T& w3)
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// clang-format on
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: values({ { x0, x1, x2, x3 }, { y0, y1, y2, y3 }, { z0, z1, z2, z3 }, { w0, w1, w2, w3 } })
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{
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@ -57,8 +63,41 @@ struct mat4_impl
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};
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}
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[[nodiscard]] constexpr auto operator*(const mat4_impl<T> &other) const -> mat4_impl<T>
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{
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const auto &[a_x, a_y, a_z, a_w] = values;
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const auto &[b_x, b_y, b_z, b_w] = other.values;
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return mat4_impl<T>(
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// X column
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a_x.x * b_x.x + a_y.x * b_x.y + a_z.x * b_x.z + a_w.x * b_x.w,
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a_x.y * b_x.x + a_y.y * b_x.y + a_z.y * b_x.z + a_w.y * b_x.w,
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a_x.z * b_x.x + a_y.z * b_x.y + a_z.z * b_x.z + a_w.z * b_x.w,
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a_x.w * b_x.x + a_y.w * b_x.y + a_z.w * b_x.z + a_w.w * b_x.w,
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// Y column
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a_x.x * b_y.x + a_y.x * b_y.y + a_z.x * b_y.z + a_w.x * b_y.w,
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a_x.y * b_y.x + a_y.y * b_y.y + a_z.y * b_y.z + a_w.y * b_y.w,
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a_x.z * b_y.x + a_y.z * b_y.y + a_z.z * b_y.z + a_w.z * b_y.w,
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a_x.w * b_y.x + a_y.w * b_y.y + a_z.w * b_y.z + a_w.w * b_y.w,
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// Z column
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a_x.x * b_z.x + a_y.x * b_z.y + a_z.x * b_z.z + a_w.x * b_z.w,
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a_x.y * b_z.x + a_y.y * b_z.y + a_z.y * b_z.z + a_w.y * b_z.w,
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a_x.z * b_z.x + a_y.z * b_z.y + a_z.z * b_z.z + a_w.z * b_z.w,
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a_x.w * b_z.x + a_y.w * b_z.y + a_z.w * b_z.z + a_w.w * b_z.w,
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// W column
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a_x.x * b_w.x + a_y.x * b_w.y + a_z.x * b_w.z + a_w.x * b_w.w,
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a_x.y * b_w.x + a_y.y * b_w.y + a_z.y * b_w.z + a_w.y * b_w.w,
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a_x.z * b_w.x + a_y.z * b_w.y + a_z.z * b_w.z + a_w.z * b_w.w,
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a_x.w * b_w.x + a_y.w * b_w.y + a_z.w * b_w.z + a_w.w * b_w.w
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);
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}
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[[nodiscard]] constexpr auto operator[](size_t idx) -> Column_T &
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{
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debug_check(idx < num_elements, "mat4 out of bound access: {}", idx);
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return values[idx];
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}
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@ -67,51 +106,80 @@ struct mat4_impl
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return values[idx];
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}
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[[nodiscard]] constexpr auto operator*(const mat4_impl<T> &other) const -> mat4_impl<T>
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[[nodiscard]] static constexpr auto transpose(const mat4_impl<T> &mat) -> mat4_impl<T>
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{
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return mat4_impl<T> {};
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const auto &[x, y, z, w] = mat.values;
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return mat4_impl<T> {
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x.x, y.x, z.x, w.x, x.y, y.y, z.y, w.y, x.z, y.z, z.z, w.z, x.w, y.w, z.w, w.w,
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};
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}
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[[nodiscard]] constexpr auto operator*(const vec4_impl<T> &other) const -> vec4_impl<T>
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[[nodiscard]] static constexpr auto translate(const vec3_impl<T> &vec) -> mat4_impl<T>
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{
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return vec4_impl<T> {};
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return mat4_impl<T>(
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T { 1 },
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T { 0 },
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T { 0 },
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T { 0 },
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T { 0 },
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T { 1 },
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T { 0 },
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T { 0 },
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T { 0 },
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T { 0 },
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T { 1 },
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T { 0 },
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vec.x,
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vec.y,
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vec.z,
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T { 1 }
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);
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}
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[[nodiscard]] static constexpr auto scale(const vec3_impl<T> &vec) -> mat4_impl<T>
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{
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return mat4_impl<T>(
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vec.x,
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T { 0 },
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T { 0 },
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T { 0 },
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T { 0 },
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vec.y,
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T { 0 },
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T { 0 },
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T { 0 },
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T { 0 },
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vec.z,
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T { 0 },
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T { 0 },
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T { 0 },
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T { 0 },
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T { 1 }
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);
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}
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std::array<Column_T, 4u> values;
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};
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/** @todo(Light): Implement */
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template<typename T>
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[[nodiscard]] auto translate(const vec3_impl<T> &value) -> mat4_impl<T>
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{
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return mat4_impl<T> {};
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}
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/** @todo(Light): Implement */
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template<typename T>
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[[nodiscard]] auto rotate(f32 value, const vec3_impl<T> &xyz) -> mat4_impl<T>
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{
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return mat4_impl<T> {};
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}
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/** @todo(Light): Implement */
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template<typename T>
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[[nodiscard]] auto scale(const vec3_impl<T> &value) -> mat4_impl<T>
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{
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return mat4_impl<T> {};
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}
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/** @todo(Light): Implement */
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template<typename T>
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[[nodiscard]] auto inverse(const mat4_impl<T> &value) -> mat4_impl<T>
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{
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return mat4_impl<T> {};
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}
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using mat4 = mat4_impl<f32>;
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using imat4 = mat4_impl<i32>;
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using mat4_f32 = mat4;
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using mat4_f64 = mat4_impl<f64>;
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using umat4 = mat4_impl<u32>;
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using mat4_i8 = mat4_impl<i8>;
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using mat4_i16 = mat4_impl<i16>;
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using mat4_i32 = mat4_impl<i32>;
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using mat4_i64 = mat4_impl<i64>;
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using mat4_u8 = mat4_impl<u8>;
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using mat4_u16 = mat4_impl<u16>;
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using mat4_u32 = mat4_impl<u32>;
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using mat4_u64 = mat4_impl<u64>;
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} // namespace lt::math
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413
modules/math/mat4.test.cpp
Normal file
413
modules/math/mat4.test.cpp
Normal file
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@ -0,0 +1,413 @@
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import test;
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import math.vec3;
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import math.mat4;
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using vec3 = ::lt::math::vec3;
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using mat4 = ::lt::math::mat4;
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Suite static_tests = "mat4_static_checks"_suite = [] {
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constexpr auto num_elements = lt::math::mat4::num_elements;
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static_assert(num_elements == 4u * 4u);
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static_assert(std::is_same_v<lt::math::mat4, lt::math::mat4_f32>);
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static_assert(sizeof(lt::math::mat4_f32) == sizeof(f32) * num_elements);
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static_assert(sizeof(lt::math::mat4_f64) == sizeof(f64) * num_elements);
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static_assert(sizeof(lt::math::mat4_i8) == sizeof(i8) * num_elements);
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static_assert(sizeof(lt::math::mat4_i16) == sizeof(i16) * num_elements);
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static_assert(sizeof(lt::math::mat4_i32) == sizeof(i32) * num_elements);
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static_assert(sizeof(lt::math::mat4_i64) == sizeof(i64) * num_elements);
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static_assert(sizeof(lt::math::mat4_u8) == sizeof(u8) * num_elements);
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static_assert(sizeof(lt::math::mat4_u16) == sizeof(u16) * num_elements);
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static_assert(sizeof(lt::math::mat4_u32) == sizeof(u32) * num_elements);
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static_assert(sizeof(lt::math::mat4_u64) == sizeof(u64) * num_elements);
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};
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Suite raii = "mat4_raii"_suite = [] {
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Case { "happy paths" } = [] {
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ignore = mat4 {};
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ignore = mat4 { 1.0 };
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ignore = mat4 {
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1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0,
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};
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ignore = mat4 {
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mat4::Column_T { 1.0, 2.0, 3.0, 4.0 },
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mat4::Column_T { 5.0, 6.0, 7.0, 8.0 },
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mat4::Column_T { 9.0, 10.0, 11.0, 12.0 },
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mat4::Column_T { 13.0, 14.0, 15.0, 16.0 },
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};
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};
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Case { "unhappy paths" } = [] {
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};
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Case { "many" } = [] {
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for (auto idx : std::views::iota(0, 1'000'000))
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{
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ignore = idx;
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ignore = mat4 {};
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ignore = mat4 { 1.0 };
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ignore = mat4 {
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1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0,
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9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0,
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};
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ignore = mat4 {
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mat4::Column_T { 1.0, 2.0, 3.0, 4.0 },
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mat4::Column_T { 5.0, 6.0, 7.0, 8.0 },
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mat4::Column_T { 9.0, 10.0, 11.0, 12.0 },
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mat4::Column_T { 13.0, 14.0, 15.0, 16.0 },
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};
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}
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};
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Case { "post default construct has correct state" } = [] {
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const auto [x, y, z, w] = mat4 {}.values;
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expect_eq(x[0], mat4::Underlying_T {});
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expect_eq(x[1], mat4::Underlying_T {});
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expect_eq(x[2], mat4::Underlying_T {});
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expect_eq(x[3], mat4::Underlying_T {});
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expect_eq(y[0], mat4::Underlying_T {});
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expect_eq(y[1], mat4::Underlying_T {});
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expect_eq(y[2], mat4::Underlying_T {});
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expect_eq(y[3], mat4::Underlying_T {});
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expect_eq(z[0], mat4::Underlying_T {});
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expect_eq(z[1], mat4::Underlying_T {});
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expect_eq(z[2], mat4::Underlying_T {});
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expect_eq(z[3], mat4::Underlying_T {});
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expect_eq(w[0], mat4::Underlying_T {});
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expect_eq(w[1], mat4::Underlying_T {});
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expect_eq(w[2], mat4::Underlying_T {});
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expect_eq(w[3], mat4::Underlying_T {});
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};
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Case { "post scalar construct has correct state" } = [] {
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const auto [x, y, z, w] = mat4 { 69.0 }.values;
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expect_eq(x[0], mat4::Underlying_T { 69.0 });
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expect_eq(x[1], mat4::Underlying_T { 69.0 });
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expect_eq(x[2], mat4::Underlying_T { 69.0 });
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expect_eq(x[3], mat4::Underlying_T { 69.0 });
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expect_eq(y[0], mat4::Underlying_T { 69.0 });
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expect_eq(y[1], mat4::Underlying_T { 69.0 });
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expect_eq(y[2], mat4::Underlying_T { 69.0 });
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expect_eq(y[3], mat4::Underlying_T { 69.0 });
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expect_eq(z[0], mat4::Underlying_T { 69.0 });
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expect_eq(z[1], mat4::Underlying_T { 69.0 });
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expect_eq(z[2], mat4::Underlying_T { 69.0 });
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expect_eq(z[3], mat4::Underlying_T { 69.0 });
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expect_eq(w[0], mat4::Underlying_T { 69.0 });
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expect_eq(w[1], mat4::Underlying_T { 69.0 });
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expect_eq(w[2], mat4::Underlying_T { 69.0 });
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expect_eq(w[3], mat4::Underlying_T { 69.0 });
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};
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Case { "post construct with all values has correct state" } = [] {
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const auto [x, y, z, w] = mat4 {
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1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0,
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}.values;
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expect_eq(x[0], mat4::Underlying_T { 1.0 });
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expect_eq(x[1], mat4::Underlying_T { 2.0 });
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expect_eq(x[2], mat4::Underlying_T { 3.0 });
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expect_eq(x[3], mat4::Underlying_T { 4.0 });
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expect_eq(y[0], mat4::Underlying_T { 5.0 });
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expect_eq(y[1], mat4::Underlying_T { 6.0 });
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expect_eq(y[2], mat4::Underlying_T { 7.0 });
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expect_eq(y[3], mat4::Underlying_T { 8.0 });
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expect_eq(z[0], mat4::Underlying_T { 9.0 });
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expect_eq(z[1], mat4::Underlying_T { 10.0 });
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expect_eq(z[2], mat4::Underlying_T { 11.0 });
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expect_eq(z[3], mat4::Underlying_T { 12.0 });
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expect_eq(w[0], mat4::Underlying_T { 13.0 });
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expect_eq(w[1], mat4::Underlying_T { 14.0 });
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expect_eq(w[2], mat4::Underlying_T { 15.0 });
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expect_eq(w[3], mat4::Underlying_T { 16.0 });
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};
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Case { "post construct with columns has correct state" } = [] {
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const auto [x, y, z, w] = mat4 {
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mat4::Column_T { 1.0, 2.0, 3.0, 4.0 },
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mat4::Column_T { 5.0, 6.0, 7.0, 8.0 },
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mat4::Column_T { 9.0, 10.0, 11.0, 12.0 },
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mat4::Column_T { 13.0, 14.0, 15.0, 16.0 },
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}.values;
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expect_eq(x[0], mat4::Underlying_T { 1.0 });
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expect_eq(x[1], mat4::Underlying_T { 2.0 });
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expect_eq(x[2], mat4::Underlying_T { 3.0 });
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expect_eq(x[3], mat4::Underlying_T { 4.0 });
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expect_eq(y[0], mat4::Underlying_T { 5.0 });
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expect_eq(y[1], mat4::Underlying_T { 6.0 });
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expect_eq(y[2], mat4::Underlying_T { 7.0 });
|
||||
expect_eq(y[3], mat4::Underlying_T { 8.0 });
|
||||
|
||||
expect_eq(z[0], mat4::Underlying_T { 9.0 });
|
||||
expect_eq(z[1], mat4::Underlying_T { 10.0 });
|
||||
expect_eq(z[2], mat4::Underlying_T { 11.0 });
|
||||
expect_eq(z[3], mat4::Underlying_T { 12.0 });
|
||||
|
||||
expect_eq(w[0], mat4::Underlying_T { 13.0 });
|
||||
expect_eq(w[1], mat4::Underlying_T { 14.0 });
|
||||
expect_eq(w[2], mat4::Underlying_T { 15.0 });
|
||||
expect_eq(w[3], mat4::Underlying_T { 16.0 });
|
||||
};
|
||||
|
||||
Case { "post construct identity matrix has correct state" } = [] {
|
||||
const auto [x, y, z, w] = mat4::identity().values;
|
||||
|
||||
expect_eq(x[0], mat4::Underlying_T { 1 });
|
||||
expect_eq(x[1], mat4::Underlying_T {});
|
||||
expect_eq(x[2], mat4::Underlying_T {});
|
||||
expect_eq(x[3], mat4::Underlying_T {});
|
||||
|
||||
expect_eq(y[0], mat4::Underlying_T {});
|
||||
expect_eq(y[1], mat4::Underlying_T { 1 });
|
||||
expect_eq(y[2], mat4::Underlying_T {});
|
||||
expect_eq(y[3], mat4::Underlying_T {});
|
||||
|
||||
expect_eq(z[0], mat4::Underlying_T {});
|
||||
expect_eq(z[1], mat4::Underlying_T {});
|
||||
expect_eq(z[2], mat4::Underlying_T { 1 });
|
||||
expect_eq(z[3], mat4::Underlying_T {});
|
||||
|
||||
expect_eq(w[0], mat4::Underlying_T {});
|
||||
expect_eq(w[1], mat4::Underlying_T {});
|
||||
expect_eq(w[2], mat4::Underlying_T {});
|
||||
expect_eq(w[3], mat4::Underlying_T { 1 });
|
||||
};
|
||||
};
|
||||
|
||||
Suite arithmetic_operators = "mat4_arithmetic_operators"_suite = [] {
|
||||
Case { "operator *" } = [] {
|
||||
const auto lhs = mat4 {
|
||||
mat4::Column_T { 1.0, 2.0, 3.0, 4.0 },
|
||||
mat4::Column_T { 5.0, 6.0, 7.0, 8.0 },
|
||||
mat4::Column_T { 9.0, 10.0, 11.0, 12.0 },
|
||||
mat4::Column_T { 13.0, 14.0, 15.0, 16.0 },
|
||||
};
|
||||
|
||||
const auto rhs = mat4 {
|
||||
mat4::Column_T { 17.0, 18.0, 19.0, 20.0 },
|
||||
mat4::Column_T { 21.0, 22.0, 23.0, 24.0 },
|
||||
mat4::Column_T { 25.0, 26.0, 27.0, 28.0 },
|
||||
mat4::Column_T { 29.0, 30.0, 31.0, 32.0 },
|
||||
};
|
||||
|
||||
const auto [x, y, z, w] = (lhs * rhs).values;
|
||||
|
||||
expect_eq(x[0], 538.0);
|
||||
expect_eq(x[1], 612.0);
|
||||
expect_eq(x[2], 686.0);
|
||||
expect_eq(x[3], 760.0);
|
||||
|
||||
expect_eq(y[0], 650.0);
|
||||
expect_eq(y[1], 740.0);
|
||||
expect_eq(y[2], 830.0);
|
||||
expect_eq(y[3], 920.0);
|
||||
|
||||
expect_eq(z[0], 762.0);
|
||||
expect_eq(z[1], 868.0);
|
||||
expect_eq(z[2], 974.0);
|
||||
expect_eq(z[3], 1080.0);
|
||||
|
||||
expect_eq(w[0], 874.0);
|
||||
expect_eq(w[1], 996.0);
|
||||
expect_eq(w[2], 1118.0);
|
||||
expect_eq(w[3], 1240.0);
|
||||
};
|
||||
};
|
||||
|
||||
Suite access_operators = "mat4_access_operators"_suite = [] {
|
||||
Case { "operator []" } = [] {
|
||||
auto mat = mat4 {
|
||||
1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0,
|
||||
};
|
||||
|
||||
expect_eq(mat[0][0], 1.0);
|
||||
expect_eq(mat[0][1], 2.0);
|
||||
expect_eq(mat[0][2], 3.0);
|
||||
expect_eq(mat[0][3], 4.0);
|
||||
|
||||
expect_eq(mat[1][0], 5.0);
|
||||
expect_eq(mat[1][1], 6.0);
|
||||
expect_eq(mat[1][2], 7.0);
|
||||
expect_eq(mat[1][3], 8.0);
|
||||
|
||||
expect_eq(mat[2][0], 9.0);
|
||||
expect_eq(mat[2][1], 10.0);
|
||||
expect_eq(mat[2][2], 11.0);
|
||||
expect_eq(mat[2][3], 12.0);
|
||||
|
||||
expect_eq(mat[3][0], 13.0);
|
||||
expect_eq(mat[3][1], 14.0);
|
||||
expect_eq(mat[3][2], 15.0);
|
||||
expect_eq(mat[3][3], 16.0);
|
||||
};
|
||||
|
||||
Case { "operator [] const" } = [] {
|
||||
const auto mat = mat4 {
|
||||
1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0,
|
||||
};
|
||||
|
||||
expect_eq(mat[0][0], 1.0);
|
||||
expect_eq(mat[0][1], 2.0);
|
||||
expect_eq(mat[0][2], 3.0);
|
||||
expect_eq(mat[0][3], 4.0);
|
||||
|
||||
expect_eq(mat[1][0], 5.0);
|
||||
expect_eq(mat[1][1], 6.0);
|
||||
expect_eq(mat[1][2], 7.0);
|
||||
expect_eq(mat[1][3], 8.0);
|
||||
|
||||
expect_eq(mat[2][0], 9.0);
|
||||
expect_eq(mat[2][1], 10.0);
|
||||
expect_eq(mat[2][2], 11.0);
|
||||
expect_eq(mat[2][3], 12.0);
|
||||
|
||||
expect_eq(mat[3][0], 13.0);
|
||||
expect_eq(mat[3][1], 14.0);
|
||||
expect_eq(mat[3][2], 15.0);
|
||||
expect_eq(mat[3][3], 16.0);
|
||||
};
|
||||
};
|
||||
|
||||
Suite transformations = "mat4_transformations"_suite = [] {
|
||||
Case { "translate" } = [] {
|
||||
const auto &[x, y, z, w] = mat4::translate(vec3 { 1, 2, 3 }).values;
|
||||
|
||||
// identity basis
|
||||
expect_eq(x[0], 1);
|
||||
expect_eq(x[1], 0);
|
||||
expect_eq(x[2], 0);
|
||||
expect_eq(x[3], 0);
|
||||
expect_eq(y[0], 0);
|
||||
expect_eq(y[1], 1);
|
||||
expect_eq(y[2], 0);
|
||||
expect_eq(y[3], 0);
|
||||
expect_eq(z[0], 0);
|
||||
expect_eq(z[1], 0);
|
||||
expect_eq(z[2], 1);
|
||||
expect_eq(z[3], 0);
|
||||
|
||||
// translation column
|
||||
expect_eq(w[0], 1);
|
||||
expect_eq(w[1], 2);
|
||||
expect_eq(w[2], 3);
|
||||
expect_eq(w[3], 1);
|
||||
};
|
||||
|
||||
Case { "scale" } = [] {
|
||||
const auto [x, y, z, w] = mat4::scale(vec3 { 2, 3, 4 }).values;
|
||||
|
||||
expect_eq(x[0], 2);
|
||||
expect_eq(x[1], 0);
|
||||
expect_eq(x[2], 0);
|
||||
expect_eq(x[3], 0);
|
||||
expect_eq(y[0], 0);
|
||||
expect_eq(y[1], 3);
|
||||
expect_eq(y[2], 0);
|
||||
expect_eq(y[3], 0);
|
||||
expect_eq(z[0], 0);
|
||||
expect_eq(z[1], 0);
|
||||
expect_eq(z[2], 4);
|
||||
expect_eq(z[3], 0);
|
||||
expect_eq(w[0], 0);
|
||||
expect_eq(w[1], 0);
|
||||
expect_eq(w[2], 0);
|
||||
expect_eq(w[3], 1);
|
||||
};
|
||||
|
||||
Case { "scale -> translate" } = [] {
|
||||
const auto scale = mat4::scale(vec3 { 2, 2, 2 });
|
||||
const auto translate = mat4::translate(vec3 { 1, 2, 3 });
|
||||
const auto [x, y, z, w] = (scale * translate).values;
|
||||
|
||||
// scaled basis
|
||||
expect_eq(x[0], 2);
|
||||
expect_eq(x[1], 0);
|
||||
expect_eq(x[2], 0);
|
||||
expect_eq(x[3], 0);
|
||||
expect_eq(y[0], 0);
|
||||
expect_eq(y[1], 2);
|
||||
expect_eq(y[2], 0);
|
||||
expect_eq(y[3], 0);
|
||||
expect_eq(z[0], 0);
|
||||
expect_eq(z[1], 0);
|
||||
expect_eq(z[2], 2);
|
||||
expect_eq(z[3], 0);
|
||||
|
||||
// translation is scaled (local-space translation)
|
||||
expect_eq(w[0], 2); // 1 * 2
|
||||
expect_eq(w[1], 4); // 2 * 2
|
||||
expect_eq(w[2], 6); // 3 * 2
|
||||
expect_eq(w[3], 1);
|
||||
};
|
||||
|
||||
Case { "transpose" } = [] {
|
||||
const auto mat = mat4 {
|
||||
mat4::Column_T { 1, 2, 3, 4 },
|
||||
mat4::Column_T { 5, 6, 7, 8 },
|
||||
mat4::Column_T { 9, 10, 11, 12 },
|
||||
mat4::Column_T { 13, 14, 15, 16 },
|
||||
};
|
||||
const auto [x, y, z, w] = mat4::transpose(mat).values;
|
||||
|
||||
// rows become columns
|
||||
expect_eq(x[0], 1);
|
||||
expect_eq(x[1], 5);
|
||||
expect_eq(x[2], 9);
|
||||
expect_eq(x[3], 13);
|
||||
expect_eq(y[0], 2);
|
||||
expect_eq(y[1], 6);
|
||||
expect_eq(y[2], 10);
|
||||
expect_eq(y[3], 14);
|
||||
expect_eq(z[0], 3);
|
||||
expect_eq(z[1], 7);
|
||||
expect_eq(z[2], 11);
|
||||
expect_eq(z[3], 15);
|
||||
expect_eq(w[0], 4);
|
||||
expect_eq(w[1], 8);
|
||||
expect_eq(w[2], 12);
|
||||
expect_eq(w[3], 16);
|
||||
};
|
||||
|
||||
Case { "transpose twice" } = [] {
|
||||
const auto mat = mat4 {
|
||||
mat4::Column_T { 1, 2, 3, 4 },
|
||||
mat4::Column_T { 5, 6, 7, 8 },
|
||||
mat4::Column_T { 9, 10, 11, 12 },
|
||||
mat4::Column_T { 13, 14, 15, 16 },
|
||||
};
|
||||
const auto [x, y, z, w] = mat4::transpose(mat4::transpose(mat)).values;
|
||||
|
||||
expect_eq(x[0], 1);
|
||||
expect_eq(x[1], 2);
|
||||
expect_eq(x[2], 3);
|
||||
expect_eq(x[3], 4);
|
||||
expect_eq(y[0], 5);
|
||||
expect_eq(y[1], 6);
|
||||
expect_eq(y[2], 7);
|
||||
expect_eq(y[3], 8);
|
||||
expect_eq(z[0], 9);
|
||||
expect_eq(z[1], 10);
|
||||
expect_eq(z[2], 11);
|
||||
expect_eq(z[3], 12);
|
||||
expect_eq(w[0], 13);
|
||||
expect_eq(w[1], 14);
|
||||
expect_eq(w[2], 15);
|
||||
expect_eq(w[3], 16);
|
||||
};
|
||||
};
|
||||
|
|
@ -4,22 +4,22 @@ import preliminary;
|
|||
|
||||
export namespace lt::math {
|
||||
|
||||
[[nodiscard]] constexpr auto radians(f32 degrees) -> f32
|
||||
[[nodiscard]] constexpr auto to_radians(f32 degrees) -> f32
|
||||
{
|
||||
return degrees * 0.01745329251994329576923690768489f;
|
||||
}
|
||||
|
||||
[[nodiscard]] constexpr auto radians(f64 degrees) -> f64
|
||||
[[nodiscard]] constexpr auto to_radians(f64 degrees) -> f64
|
||||
{
|
||||
return degrees * 0.01745329251994329576923690768489;
|
||||
}
|
||||
|
||||
[[nodiscard]] constexpr auto degrees(f32 radians) -> f32
|
||||
[[nodiscard]] constexpr auto to_degrees(f32 radians) -> f32
|
||||
{
|
||||
return radians * 57.295779513082320876798154814105f;
|
||||
}
|
||||
|
||||
[[nodiscard]] constexpr auto degrees(f64 radians) -> f64
|
||||
[[nodiscard]] constexpr auto to_degrees(f64 radians) -> f64
|
||||
{
|
||||
return radians * 57.295779513082320876798154814105;
|
||||
}
|
||||
|
|
|
|||
43
modules/math/trig.test.cpp
Normal file
43
modules/math/trig.test.cpp
Normal file
|
|
@ -0,0 +1,43 @@
|
|||
import test;
|
||||
import math.trig;
|
||||
|
||||
Suite conversions = "trig_conversions"_suite = [] {
|
||||
using ::lt::math::to_degrees;
|
||||
using ::lt::math::to_radians;
|
||||
|
||||
Case { "to_radians <f32>" } = [] {
|
||||
expect_eq(to_radians(f32 { 0.0f }), f32 { 0.0f });
|
||||
expect_eq(to_radians(f32 { 90.0f }), f32 { 1.5707963267948966f });
|
||||
expect_eq(to_radians(f32 { 180.0f }), f32 { 3.1415926535897932f });
|
||||
expect_eq(to_radians(f32 { 360.0f }), f32 { 6.2831853071795864f });
|
||||
};
|
||||
|
||||
Case { "to_radians <f64>" } = [] {
|
||||
expect_eq(to_radians(f64 { 0.0 }), f64 { 0.0 });
|
||||
expect_eq(to_radians(f64 { 90.0 }), f64 { 1.5707963267948966 });
|
||||
expect_eq(to_radians(f64 { 180.0 }), f64 { 3.1415926535897932 });
|
||||
expect_eq(to_radians(f64 { 360.0 }), f64 { 6.2831853071795864 });
|
||||
};
|
||||
|
||||
Case { "to_degrees <f32>" } = [] {
|
||||
expect_eq(to_degrees(f32 { 0.0f }), f32 { 0.0f });
|
||||
expect_eq(to_degrees(f32 { 1.5707963267948966f }), f32 { 90.0f });
|
||||
expect_eq(to_degrees(f32 { 3.1415926535897932f }), f32 { 180.0f });
|
||||
expect_eq(to_degrees(f32 { 6.2831853071795864f }), f32 { 360.0f });
|
||||
};
|
||||
|
||||
Case { "to_degrees <f64>" } = [] {
|
||||
expect_eq(to_degrees(f64 { 0.0 }), f64 { 0.0 });
|
||||
expect_eq(to_degrees(f64 { 1.5707963267948966 }), f64 { 90.0 });
|
||||
expect_eq(to_degrees(f64 { 3.1415926535897932 }), f64 { 180.0 });
|
||||
expect_eq(to_degrees(f64 { 6.2831853071795864 }), f64 { 360.0 });
|
||||
};
|
||||
|
||||
Case { "to_degrees -> to_radians -> to_degrees <f32>" } = [] {
|
||||
expect_eq(to_degrees(to_radians(f32 { 45.0f })), f32 { 45.0f });
|
||||
};
|
||||
|
||||
Case { "to_degrees -> to_radians -> to_degrees <f64>" } = [] {
|
||||
expect_eq(to_degrees(to_radians(f64 { 45.0 })), f64 { 45.0 });
|
||||
};
|
||||
};
|
||||
|
|
@ -8,6 +8,8 @@ template<typename T = f32>
|
|||
requires(std::is_arithmetic_v<T>)
|
||||
struct vec2_impl
|
||||
{
|
||||
using Underlying_T = T;
|
||||
|
||||
static constexpr auto num_elements = 2u;
|
||||
|
||||
constexpr vec2_impl(): x(), y()
|
||||
|
|
@ -66,33 +68,35 @@ struct vec2_impl
|
|||
|
||||
[[nodiscard]] constexpr auto operator[](u8 idx) -> T &
|
||||
{
|
||||
debug_check(idx <= num_elements, "vec2 out of bound: {}", idx);
|
||||
debug_check(idx < num_elements, "vec2 out of bound access: {}", idx);
|
||||
return ((T *)this)[idx];
|
||||
}
|
||||
|
||||
[[nodiscard]] constexpr auto operator[](u8 idx) const -> const T &
|
||||
{
|
||||
debug_check(idx < num_elements, "vec2 out of bound: {}", idx);
|
||||
debug_check(idx < num_elements, "vec2 out of bound access: {}", idx);
|
||||
return ((T *)this)[idx];
|
||||
}
|
||||
|
||||
friend auto operator<<(std::ostream &stream, vec2_impl<T> value) -> std::ostream &
|
||||
{
|
||||
stream << value.x << ", " << value.y;
|
||||
return stream;
|
||||
}
|
||||
|
||||
T x;
|
||||
|
||||
T y;
|
||||
};
|
||||
|
||||
|
||||
using vec2 = vec2_impl<f32>;
|
||||
|
||||
using ivec2 = vec2_impl<i32>;
|
||||
using vec2_f32 = vec2;
|
||||
using vec2_f64 = vec2_impl<f64>;
|
||||
|
||||
using uvec2 = vec2_impl<u32>;
|
||||
using vec2_i8 = vec2_impl<i8>;
|
||||
using vec2_i16 = vec2_impl<i16>;
|
||||
using vec2_i32 = vec2_impl<i32>;
|
||||
using vec2_i64 = vec2_impl<i64>;
|
||||
|
||||
using vec2_u8 = vec2_impl<u8>;
|
||||
using vec2_u16 = vec2_impl<u16>;
|
||||
using vec2_u32 = vec2_impl<u32>;
|
||||
using vec2_u64 = vec2_impl<u64>;
|
||||
|
||||
} // namespace lt::math
|
||||
|
||||
|
|
|
|||
|
|
@ -1,7 +1,130 @@
|
|||
import test;
|
||||
import math.vec2;
|
||||
|
||||
Suite raii = "raii"_suite = [] {
|
||||
Case { "happy path" } = [] {
|
||||
using vec2 = ::lt::math::vec2;
|
||||
using ivec2 = ::lt::math::vec2_i32;
|
||||
|
||||
Suite static_tests = "vec3_static_checks"_suite = [] {
|
||||
constexpr auto num_elements = lt::math::vec2::num_elements;
|
||||
|
||||
static_assert(num_elements == 2u);
|
||||
static_assert(std::is_same_v<lt::math::vec2, lt::math::vec2_f32>);
|
||||
|
||||
static_assert(sizeof(lt::math::vec2_f32) == sizeof(f32) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec2_f64) == sizeof(f64) * num_elements);
|
||||
|
||||
static_assert(sizeof(lt::math::vec2_i8) == sizeof(i8) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec2_i16) == sizeof(i16) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec2_i32) == sizeof(i32) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec2_i64) == sizeof(i64) * num_elements);
|
||||
|
||||
static_assert(sizeof(lt::math::vec2_u8) == sizeof(u8) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec2_u16) == sizeof(u16) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec2_u32) == sizeof(u32) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec2_u64) == sizeof(u64) * num_elements);
|
||||
};
|
||||
|
||||
Suite raii = "vec2_raii"_suite = [] {
|
||||
Case { "happy paths" } = [] {
|
||||
ignore = vec2 {};
|
||||
ignore = vec2 { 2.0 };
|
||||
ignore = vec2 { 2.0, 4.0 };
|
||||
};
|
||||
|
||||
Case { "unhappy paths" } = [] {
|
||||
};
|
||||
|
||||
Case { "many" } = [] {
|
||||
for (auto idx : std::views::iota(0, 1'000'000))
|
||||
{
|
||||
ignore = idx;
|
||||
ignore = vec2 {};
|
||||
ignore = vec2 { 2.0 };
|
||||
ignore = vec2 { 2.0, 4.0 };
|
||||
}
|
||||
};
|
||||
|
||||
Case { "post default construct has correct state" } = [] {
|
||||
const auto vec = vec2 {};
|
||||
expect_eq(vec.x, 0.0);
|
||||
expect_eq(vec.y, 0.0);
|
||||
};
|
||||
|
||||
Case { "post scalar construct has correct state" } = [] {
|
||||
const auto vec = vec2 { 2.0 };
|
||||
expect_eq(vec.x, 2.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
};
|
||||
|
||||
Case { "post construct with x,y has correct state" } = [] {
|
||||
const auto vec = vec2 { 2.0, 3.0 };
|
||||
expect_eq(vec.x, 2.0);
|
||||
expect_eq(vec.y, 3.0);
|
||||
};
|
||||
};
|
||||
|
||||
Suite arithmetic_operators = "vec2_operators"_suite = [] {
|
||||
Case { "operator ==" } = [] {
|
||||
const auto lhs = vec2 { 1.0, 2.0 };
|
||||
|
||||
expect_false(lhs == vec2 { {}, 2.0 });
|
||||
expect_false(lhs == vec2 { 1.0, {} });
|
||||
expect_true(lhs == vec2 { 1.0, 2.0 });
|
||||
};
|
||||
|
||||
Case { "operator !=" } = [] {
|
||||
const auto lhs = vec2 { 1.0, 2.0 };
|
||||
|
||||
expect_true(lhs != vec2 { {}, 2.0 });
|
||||
expect_true(lhs != vec2 { 1.0, {} });
|
||||
expect_false(lhs != vec2 { 1.0, 2.0 });
|
||||
};
|
||||
|
||||
Case { "operator +" } = [] {
|
||||
const auto lhs = vec2 { 2.0, 3.0 };
|
||||
const auto rhs = vec2 { 4.0, 5.0 };
|
||||
expect_eq(lhs + rhs, vec2 { 6.0, 8.0 });
|
||||
};
|
||||
|
||||
Case { "operator -" } = [] {
|
||||
const auto lhs = vec2 { 2.0, 3.0 };
|
||||
const auto rhs = vec2 { 4.0, 6.0 };
|
||||
expect_eq(lhs - rhs, vec2 { -2.0, -3.0 });
|
||||
};
|
||||
|
||||
Case { "operator *" } = [] {
|
||||
const auto lhs = vec2 { 2.0, 3.0 };
|
||||
const auto rhs = vec2 { 10.0, 20.0 };
|
||||
expect_eq(lhs * rhs, vec2 { 20.0, 60.0 });
|
||||
};
|
||||
|
||||
Case { "operator /" } = [] {
|
||||
const auto lhs = vec2 { 10.0, 20.0 };
|
||||
const auto rhs = vec2 { 2.0, 20.0 };
|
||||
expect_eq(lhs / rhs, vec2 { 5.0, 1.0 });
|
||||
};
|
||||
|
||||
Case { "operator []" } = [] {
|
||||
auto vec = vec2 { 0.0, 1.0 };
|
||||
expect_eq(vec[0], 0.0);
|
||||
expect_eq(vec[1], 1.0);
|
||||
};
|
||||
|
||||
Case { "operator [] const" } = [] {
|
||||
const auto vec = vec2 { 0.0, 1.0 };
|
||||
expect_eq(vec[0], 0.0);
|
||||
expect_eq(vec[1], 1.0);
|
||||
};
|
||||
};
|
||||
|
||||
Suite utilities = "vec2_utilities"_suite = [] {
|
||||
Case { "std::format float" } = [] {
|
||||
auto str = std::format("{}", vec2 { 10.0000f, 30.0005f });
|
||||
expect_eq(str, "10, 30.0005");
|
||||
};
|
||||
|
||||
Case { "std::format int" } = [] {
|
||||
auto str = std::format("{}", ivec2 { 10, 30 });
|
||||
expect_eq(str, "10, 30");
|
||||
};
|
||||
};
|
||||
|
|
|
|||
|
|
@ -9,6 +9,8 @@ template<typename T = f32>
|
|||
requires(std::is_arithmetic_v<T>)
|
||||
struct vec3_impl
|
||||
{
|
||||
using Underlying_T = T;
|
||||
|
||||
static constexpr auto num_elements = 3u;
|
||||
|
||||
constexpr vec3_impl(): x(), y(), z()
|
||||
|
|
@ -27,7 +29,7 @@ struct vec3_impl
|
|||
{
|
||||
}
|
||||
|
||||
constexpr vec3_impl(T x, vec2_impl<T> yz): x(x), y(yz.y), z(yz.z)
|
||||
constexpr vec3_impl(T x, vec2_impl<T> yz): x(x), y(yz.x), z(yz.y)
|
||||
{
|
||||
}
|
||||
|
||||
|
|
@ -79,13 +81,13 @@ struct vec3_impl
|
|||
|
||||
[[nodiscard]] constexpr auto operator[](u8 idx) -> T &
|
||||
{
|
||||
debug_check(idx <= num_elements, "vec3 out of bound: {}", idx);
|
||||
debug_check(idx < num_elements, "vec3 out of bound access: {}", idx);
|
||||
return ((T *)this)[idx];
|
||||
}
|
||||
|
||||
[[nodiscard]] constexpr auto operator[](u8 idx) const -> const T &
|
||||
{
|
||||
debug_check(idx < num_elements, "vec3 out of bound: {}", idx);
|
||||
debug_check(idx < num_elements, "vec3 out of bound access: {}", idx);
|
||||
return ((T *)this)[idx];
|
||||
}
|
||||
|
||||
|
|
@ -104,9 +106,18 @@ struct vec3_impl
|
|||
|
||||
using vec3 = vec3_impl<f32>;
|
||||
|
||||
using ivec3 = vec3_impl<i32>;
|
||||
using vec3_f32 = vec3;
|
||||
using vec3_f64 = vec3_impl<f64>;
|
||||
|
||||
using uvec3 = vec3_impl<u32>;
|
||||
using vec3_i8 = vec3_impl<i8>;
|
||||
using vec3_i16 = vec3_impl<i16>;
|
||||
using vec3_i32 = vec3_impl<i32>;
|
||||
using vec3_i64 = vec3_impl<i64>;
|
||||
|
||||
using vec3_u8 = vec3_impl<u8>;
|
||||
using vec3_u16 = vec3_impl<u16>;
|
||||
using vec3_u32 = vec3_impl<u32>;
|
||||
using vec3_u64 = vec3_impl<u64>;
|
||||
|
||||
} // namespace lt::math
|
||||
|
||||
|
|
|
|||
157
modules/math/vec3.test.cpp
Normal file
157
modules/math/vec3.test.cpp
Normal file
|
|
@ -0,0 +1,157 @@
|
|||
import test;
|
||||
import math.vec2;
|
||||
import math.vec3;
|
||||
|
||||
using vec2 = ::lt::math::vec2;
|
||||
using vec3 = ::lt::math::vec3;
|
||||
using ivec3 = ::lt::math::vec3_i32;
|
||||
|
||||
Suite static_tests = "vec3_static_checks"_suite = [] {
|
||||
constexpr auto num_elements = lt::math::vec3::num_elements;
|
||||
|
||||
static_assert(num_elements == 3u);
|
||||
static_assert(std::is_same_v<lt::math::vec3, lt::math::vec3_f32>);
|
||||
|
||||
static_assert(sizeof(lt::math::vec3_f32) == sizeof(f32) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec3_f64) == sizeof(f64) * num_elements);
|
||||
|
||||
static_assert(sizeof(lt::math::vec3_i8) == sizeof(i8) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec3_i16) == sizeof(i16) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec3_i32) == sizeof(i32) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec3_i64) == sizeof(i64) * num_elements);
|
||||
|
||||
static_assert(sizeof(lt::math::vec3_u8) == sizeof(u8) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec3_u16) == sizeof(u16) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec3_u32) == sizeof(u32) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec3_u64) == sizeof(u64) * num_elements);
|
||||
};
|
||||
|
||||
Suite raii = "vec3_raii"_suite = [] {
|
||||
Case { "happy paths" } = [] {
|
||||
ignore = vec3 {};
|
||||
ignore = vec3 { 2.0 };
|
||||
ignore = vec3 { 2.0, 4.0, 6.0 };
|
||||
ignore = vec3 { vec2 { 2.0, 4.0 }, 6.0 };
|
||||
ignore = vec3 { 2.0, vec2 { 4.0, 6.0 } };
|
||||
};
|
||||
|
||||
Case { "unhappy paths" } = [] {
|
||||
};
|
||||
|
||||
Case { "many" } = [] {
|
||||
for (auto idx : std::views::iota(0, 1'000'000))
|
||||
{
|
||||
ignore = idx;
|
||||
ignore = vec3 {};
|
||||
ignore = vec3 { 2.0 };
|
||||
ignore = vec3 { 2.0, 4.0, 6.0 };
|
||||
ignore = vec3 { vec2 { 2.0, 4.0 }, 6.0 };
|
||||
ignore = vec3 { 2.0, vec2 { 4.0, 6.0 } };
|
||||
}
|
||||
};
|
||||
|
||||
Case { "post default construct has correct state" } = [] {
|
||||
const auto vec = vec3 {};
|
||||
expect_eq(vec.x, 0.0);
|
||||
expect_eq(vec.y, 0.0);
|
||||
expect_eq(vec.z, 0.0);
|
||||
};
|
||||
|
||||
Case { "post scalar construct has correct state" } = [] {
|
||||
const auto vec = vec3 { 2.0 };
|
||||
expect_eq(vec.x, 2.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 2.0);
|
||||
};
|
||||
|
||||
Case { "post construct with x,y,z has correct state" } = [] {
|
||||
const auto vec = vec3 { 1.0, 2.0, 3.0 };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.y, 3.0);
|
||||
};
|
||||
|
||||
Case { "post construct with xy,z has correct state" } = [] {
|
||||
const auto vec = vec3 { vec2 { 1.0, 2.0 }, 3.0 };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 3.0);
|
||||
};
|
||||
|
||||
Case { "post construct with x,yz has correct state" } = [] {
|
||||
const auto vec = vec3 { 1.0, vec2 { 2.0, 3.0 } };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 3.0);
|
||||
};
|
||||
};
|
||||
|
||||
Suite arithmetic_operators = "vec3_operators"_suite = [] {
|
||||
Case { "operator ==" } = [] {
|
||||
const auto lhs = vec3 { 1.0, 2.0, 3.0 };
|
||||
|
||||
expect_false(lhs == vec3 { {}, 2.0, 3.0 });
|
||||
expect_false(lhs == vec3 { 1.0, {}, 3.0 });
|
||||
expect_false(lhs == vec3 { 1.0, 2.0, {} });
|
||||
expect_true(lhs == vec3 { 1.0, 2.0, 3.0 });
|
||||
};
|
||||
|
||||
Case { "operator !=" } = [] {
|
||||
const auto lhs = vec3 { 1.0, 2.0, 3.0 };
|
||||
|
||||
expect_true(lhs != vec3 { {}, 2.0, 3.0 });
|
||||
expect_true(lhs != vec3 { 1.0, {}, 3.0 });
|
||||
expect_true(lhs != vec3 { 1.0, 2.0, {} });
|
||||
expect_false(lhs != vec3 { 1.0, 2.0, 3.0 });
|
||||
};
|
||||
|
||||
Case { "operator +" } = [] {
|
||||
const auto lhs = vec3 { 1.0, 2.0, 3.0 };
|
||||
const auto rhs = vec3 { 4.0, 5.0, 6.0 };
|
||||
expect_eq(lhs + rhs, vec3 { 5.0, 7.0, 9.0 });
|
||||
};
|
||||
|
||||
Case { "operator -" } = [] {
|
||||
const auto lhs = vec3 { 1.0, 2.0, 3.0 };
|
||||
const auto rhs = vec3 { 4.0, 5.0, 7.0 };
|
||||
expect_eq(lhs - rhs, vec3 { -2.0, -3.0, -4.0 });
|
||||
};
|
||||
|
||||
Case { "operator *" } = [] {
|
||||
const auto lhs = vec3 { 1.0, 2.0, 3.0 };
|
||||
const auto rhs = vec3 { 4.0, 5.0, 6.0 };
|
||||
expect_eq(lhs * rhs, vec3 { 4.0, 10.0, 18.0 });
|
||||
};
|
||||
|
||||
Case { "operator /" } = [] {
|
||||
const auto lhs = vec3 { 4.0, 10.0, 30.0 };
|
||||
const auto rhs = vec3 { 1.0, 2.0, 5.0 };
|
||||
expect_eq(lhs / rhs, vec3 { 4.0, 5.0, 6.0 });
|
||||
};
|
||||
|
||||
Case { "operator []" } = [] {
|
||||
auto vec = vec3 { 0.0, 1.0, 2.0 };
|
||||
expect_eq(vec[0], 0.0);
|
||||
expect_eq(vec[1], 1.0);
|
||||
expect_eq(vec[2], 2.0);
|
||||
};
|
||||
|
||||
Case { "operator [] const" } = [] {
|
||||
const auto vec = vec3 { 0.0, 1.0, 2.0 };
|
||||
expect_eq(vec[0], 0.0);
|
||||
expect_eq(vec[1], 1.0);
|
||||
expect_eq(vec[2], 2.0);
|
||||
};
|
||||
};
|
||||
|
||||
Suite utilities = "vec3_utilities"_suite = [] {
|
||||
Case { "std::format float" } = [] {
|
||||
auto str = std::format("{}", vec3 { 10.0000f, 30.0005f, 40.00005f });
|
||||
expect_eq(str, "10, 30.0005, 40.00005");
|
||||
};
|
||||
|
||||
Case { "std::format int" } = [] {
|
||||
auto str = std::format("{}", ivec3 { 10, 30, 3'000'000 });
|
||||
expect_eq(str, "10, 30, 3000000");
|
||||
};
|
||||
};
|
||||
|
|
@ -10,6 +10,8 @@ template<typename T = f32>
|
|||
requires(std::is_arithmetic_v<T>)
|
||||
struct vec4_impl
|
||||
{
|
||||
using Underlying_T = T;
|
||||
|
||||
static constexpr auto num_elements = 4u;
|
||||
|
||||
constexpr vec4_impl(): x(), y(), z(), w()
|
||||
|
|
@ -28,11 +30,15 @@ struct vec4_impl
|
|||
{
|
||||
}
|
||||
|
||||
constexpr vec4_impl(T x, T y, vec2_impl<T> zw): x(x), y(y), z(zw.z), w(zw.w)
|
||||
constexpr vec4_impl(T x, vec2_impl<T> yz, T w): x(x), y(yz.x), z(yz.y), w(w)
|
||||
{
|
||||
}
|
||||
|
||||
constexpr vec4_impl(vec2_impl<T> xy, vec2_impl<T> zw): x(xy.x), y(xy.y), z(zw.z), w(zw.w)
|
||||
constexpr vec4_impl(T x, T y, vec2_impl<T> zw): x(x), y(y), z(zw.x), w(zw.y)
|
||||
{
|
||||
}
|
||||
|
||||
constexpr vec4_impl(vec2_impl<T> xy, vec2_impl<T> zw): x(xy.x), y(xy.y), z(zw.x), w(zw.y)
|
||||
{
|
||||
}
|
||||
|
||||
|
|
@ -40,7 +46,7 @@ struct vec4_impl
|
|||
{
|
||||
}
|
||||
|
||||
constexpr vec4_impl(T x, vec3_impl<T> yzw): x(x), y(yzw.y), z(yzw.z), w(yzw.w)
|
||||
constexpr vec4_impl(T x, vec3_impl<T> yzw): x(x), y(yzw.x), z(yzw.y), w(yzw.z)
|
||||
{
|
||||
}
|
||||
|
||||
|
|
@ -96,13 +102,13 @@ struct vec4_impl
|
|||
|
||||
[[nodiscard]] constexpr auto operator[](u8 idx) -> T &
|
||||
{
|
||||
debug_check(idx <= num_elements, "vec4 out of bound: {}", idx);
|
||||
debug_check(idx < num_elements, "vec4 out of bound access: {}", idx);
|
||||
return ((T *)this)[idx];
|
||||
}
|
||||
|
||||
[[nodiscard]] constexpr auto operator[](u8 idx) const -> const T &
|
||||
{
|
||||
debug_check(idx < num_elements, "vec4 out of bound: {}", idx);
|
||||
debug_check(idx < num_elements, "vec4 out of bound access: {}", idx);
|
||||
return ((T *)this)[idx];
|
||||
}
|
||||
|
||||
|
|
@ -123,9 +129,18 @@ struct vec4_impl
|
|||
|
||||
using vec4 = vec4_impl<f32>;
|
||||
|
||||
using ivec4 = vec4_impl<i32>;
|
||||
using vec4_f32 = vec4;
|
||||
using vec4_f64 = vec4_impl<f64>;
|
||||
|
||||
using uvec4 = vec4_impl<u32>;
|
||||
using vec4_i8 = vec4_impl<i8>;
|
||||
using vec4_i16 = vec4_impl<i16>;
|
||||
using vec4_i32 = vec4_impl<i32>;
|
||||
using vec4_i64 = vec4_impl<i64>;
|
||||
|
||||
using vec4_u8 = vec4_impl<u8>;
|
||||
using vec4_u16 = vec4_impl<u16>;
|
||||
using vec4_u32 = vec4_impl<u32>;
|
||||
using vec4_u64 = vec4_impl<u64>;
|
||||
|
||||
} // namespace lt::math
|
||||
|
||||
|
|
|
|||
215
modules/math/vec4.test.cpp
Normal file
215
modules/math/vec4.test.cpp
Normal file
|
|
@ -0,0 +1,215 @@
|
|||
import test;
|
||||
import math.vec2;
|
||||
import math.vec3;
|
||||
import math.vec4;
|
||||
import logger;
|
||||
|
||||
using vec2 = ::lt::math::vec2;
|
||||
using vec3 = ::lt::math::vec3;
|
||||
using vec4 = ::lt::math::vec4;
|
||||
using ivec4 = ::lt::math::vec4_i32;
|
||||
|
||||
Suite static_tests = "vec4_static_checks"_suite = [] {
|
||||
constexpr auto num_elements = lt::math::vec4::num_elements;
|
||||
|
||||
static_assert(num_elements == 4u);
|
||||
static_assert(std::is_same_v<lt::math::vec4, lt::math::vec4_f32>);
|
||||
|
||||
static_assert(sizeof(lt::math::vec4_f32) == sizeof(f32) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec4_f64) == sizeof(f64) * num_elements);
|
||||
|
||||
static_assert(sizeof(lt::math::vec4_i8) == sizeof(i8) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec4_i16) == sizeof(i16) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec4_i32) == sizeof(i32) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec4_i64) == sizeof(i64) * num_elements);
|
||||
|
||||
static_assert(sizeof(lt::math::vec4_u8) == sizeof(u8) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec4_u16) == sizeof(u16) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec4_u32) == sizeof(u32) * num_elements);
|
||||
static_assert(sizeof(lt::math::vec4_u64) == sizeof(u64) * num_elements);
|
||||
};
|
||||
|
||||
Suite raii = "vec4_raii"_suite = [] {
|
||||
Case { "happy paths" } = [] {
|
||||
ignore = vec4 {};
|
||||
ignore = vec4 { 2.0 };
|
||||
ignore = vec4 { 2.0, 4.0, 6.0, 8.0 };
|
||||
ignore = vec4 { vec2 { 2.0, 4.0 }, 6.0, 8.0 };
|
||||
ignore = vec4 { 2.0, 4.0, vec2 { 6.0, 8.0 } };
|
||||
ignore = vec4 { vec2 { 2.0, 4.0 }, vec2 { 6.0, 8.0 } };
|
||||
ignore = vec4 { vec3 { 2.0, 4.0, 6.0 }, 8.0 };
|
||||
ignore = vec4 { 2.0, vec3 { 4.0, 6.0, 8.0 } };
|
||||
};
|
||||
|
||||
Case { "unhappy paths" } = [] {
|
||||
};
|
||||
|
||||
Case { "many" } = [] {
|
||||
for (auto idx : std::views::iota(0, 1'000'000))
|
||||
{
|
||||
ignore = idx;
|
||||
ignore = vec4 {};
|
||||
ignore = vec4 { 2.0 };
|
||||
ignore = vec4 { 2.0, 4.0, 6.0, 8.0 };
|
||||
ignore = vec4 { vec2 { 2.0, 4.0 }, 6.0, 8.0 };
|
||||
ignore = vec4 { 2.0, 4.0, vec2 { 6.0, 8.0 } };
|
||||
ignore = vec4 { vec2 { 2.0, 4.0 }, vec2 { 6.0, 8.0 } };
|
||||
ignore = vec4 { vec3 { 2.0, 4.0, 6.0 }, 8.0 };
|
||||
ignore = vec4 { 2.0, vec3 { 4.0, 6.0, 8.0 } };
|
||||
}
|
||||
};
|
||||
|
||||
Case { "post default construct has correct state" } = [] {
|
||||
const auto vec = vec4 {};
|
||||
expect_eq(vec.x, 0.0);
|
||||
expect_eq(vec.y, 0.0);
|
||||
expect_eq(vec.z, 0.0);
|
||||
expect_eq(vec.w, 0.0);
|
||||
};
|
||||
|
||||
Case { "post scalar construct has correct state" } = [] {
|
||||
const auto vec = vec4 { 2.0 };
|
||||
expect_eq(vec.x, 2.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 2.0);
|
||||
expect_eq(vec.w, 2.0);
|
||||
};
|
||||
|
||||
Case { "post construct with x,y,z,w has correct state" } = [] {
|
||||
const auto vec = vec4 { 1.0, 2.0, 3.0, 4.0 };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.y, 3.0);
|
||||
expect_eq(vec.z, 4.0);
|
||||
};
|
||||
|
||||
Case { "post construct with xy,z,w has correct state" } = [] {
|
||||
const auto vec = vec4 { vec2 { 1.0, 2.0 }, 3.0, 4.0 };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 3.0);
|
||||
expect_eq(vec.w, 4.0);
|
||||
};
|
||||
|
||||
Case { "post construct with x,y,zw has correct state" } = [] {
|
||||
const auto vec = vec4 { 1.0, 2.0, vec2 { 3.0, 4.0 } };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 3.0);
|
||||
expect_eq(vec.w, 4.0);
|
||||
};
|
||||
|
||||
Case { "post construct with x,yz,w has correct state" } = [] {
|
||||
const auto vec = vec4 { 1.0, vec2 { 2.0, 3.0 }, 4.0 };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 3.0);
|
||||
expect_eq(vec.w, 4.0);
|
||||
};
|
||||
|
||||
Case { "post construct with x,y,zw has correct state" } = [] {
|
||||
const auto vec = vec4 { 1.0, 2.0, vec2 { 3.0, 4.0 } };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 3.0);
|
||||
expect_eq(vec.w, 4.0);
|
||||
};
|
||||
|
||||
Case { "post construct with xy,zw has correct state" } = [] {
|
||||
const auto vec = vec4 { vec2 { 1.0, 2.0 }, vec2 { 3.0, 4.0 } };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 3.0);
|
||||
expect_eq(vec.w, 4.0);
|
||||
};
|
||||
|
||||
Case { "post construct with xyz,w has correct state" } = [] {
|
||||
const auto vec = vec4 { vec3 { 1.0, 2.0, 3.0 }, 4.0 };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 3.0);
|
||||
expect_eq(vec.w, 4.0);
|
||||
};
|
||||
|
||||
Case { "post construct with x,yzw has correct state" } = [] {
|
||||
const auto vec = vec4 { 1.0, vec3 { 2.0, 3.0, 4.0 } };
|
||||
expect_eq(vec.x, 1.0);
|
||||
expect_eq(vec.y, 2.0);
|
||||
expect_eq(vec.z, 3.0);
|
||||
expect_eq(vec.w, 4.0);
|
||||
};
|
||||
};
|
||||
|
||||
Suite arithmetic_operators = "vec4_operators"_suite = [] {
|
||||
Case { "operator ==" } = [] {
|
||||
const auto lhs = vec4 { 1.0, 2.0, 3.0, 4.0 };
|
||||
|
||||
expect_false(lhs == vec4 { {}, 2.0, 3.0, 4.0 });
|
||||
expect_false(lhs == vec4 { 1.0, {}, 3.0, 4.0 });
|
||||
expect_false(lhs == vec4 { 1.0, 2.0, {}, 4.0 });
|
||||
expect_false(lhs == vec4 { 1.0, 2.0, 3.0, {} });
|
||||
expect_true(lhs == vec4 { 1.0, 2.0, 3.0, 4.0 });
|
||||
};
|
||||
|
||||
Case { "operator !=" } = [] {
|
||||
const auto lhs = vec4 { 1.0, 2.0, 3.0, 4.0 };
|
||||
|
||||
expect_true(lhs != vec4 { {}, 2.0, 3.0, 4.0 });
|
||||
expect_true(lhs != vec4 { 1.0, {}, 3.0, 4.0 });
|
||||
expect_true(lhs != vec4 { 1.0, 2.0, {}, 4.0 });
|
||||
expect_true(lhs != vec4 { 1.0, 2.0, 3.0, {} });
|
||||
expect_false(lhs != vec4 { 1.0, 2.0, 3.0, 4.0 });
|
||||
};
|
||||
|
||||
Case { "operator +" } = [] {
|
||||
const auto lhs = vec4 { 1.0, 2.0, 3.0, 4.0 };
|
||||
const auto rhs = vec4 { 5.0, 6.0, 7.0, 8.0 };
|
||||
expect_eq(lhs + rhs, vec4 { 6.0, 8.0, 10.0, 12.0 });
|
||||
};
|
||||
|
||||
Case { "operator -" } = [] {
|
||||
const auto lhs = vec4 { 1.0, 2.0, 3.0, 4.0 };
|
||||
const auto rhs = vec4 { 5.0, 10.0, 15.0, 20.0 };
|
||||
expect_eq(lhs - rhs, vec4 { -4.0, -8.0, -12.0, -16.0 });
|
||||
};
|
||||
|
||||
Case { "operator *" } = [] {
|
||||
const auto lhs = vec4 { 1.0, 2.0, 3.0, 4.0 };
|
||||
const auto rhs = vec4 { 5.0, 6.0, 7.0, 8.0 };
|
||||
expect_eq(lhs * rhs, vec4 { 5.0, 12.0, 21.0, 32.0 });
|
||||
};
|
||||
|
||||
Case { "operator /" } = [] {
|
||||
const auto lhs = vec4 { 5.0, 6.0, 30.0, 8.0 };
|
||||
const auto rhs = vec4 { 1.0, 2.0, 3.0, 4.0 };
|
||||
expect_eq(lhs / rhs, vec4 { 5.0, 3.0, 10.0, 2.0 });
|
||||
};
|
||||
|
||||
Case { "operator []" } = [] {
|
||||
auto vec = vec4 { 0.0, 1.0, 2.0, 3.0 };
|
||||
expect_eq(vec[0], 0.0);
|
||||
expect_eq(vec[1], 1.0);
|
||||
expect_eq(vec[2], 2.0);
|
||||
expect_eq(vec[3], 3.0);
|
||||
};
|
||||
|
||||
Case { "operator [] const" } = [] {
|
||||
const auto vec = vec4 { 0.0, 1.0, 2.0, 3.0 };
|
||||
expect_eq(vec[0], 0.0);
|
||||
expect_eq(vec[1], 1.0);
|
||||
expect_eq(vec[2], 2.0);
|
||||
expect_eq(vec[3], 3.0);
|
||||
};
|
||||
};
|
||||
|
||||
Suite utilities = "vec4_utilities"_suite = [] {
|
||||
Case { "std::format float" } = [] {
|
||||
auto str = std::format("{}", vec4 { 10.0000f, 30.0005f, 40.00005f, 0.0 });
|
||||
expect_eq(str, "10, 30.0005, 40.00005, 0");
|
||||
};
|
||||
|
||||
Case { "std::format int" } = [] {
|
||||
auto str = std::format("{}", ivec4 { 10, 30, 3'000'000, 13 });
|
||||
expect_eq(str, "10, 30, 3000000, 13");
|
||||
};
|
||||
};
|
||||
Loading…
Add table
Reference in a new issue