import test; import math.vec3; import math.mat4; using vec3 = ::lt::math::vec3; using mat4 = ::lt::math::mat4; Suite static_tests = "mat4_static_checks"_suite = [] { constexpr auto num_elements = lt::math::mat4::num_elements; static_assert(num_elements == 4u * 4u); static_assert(std::is_same_v); static_assert(sizeof(lt::math::mat4_f32) == sizeof(f32) * num_elements); static_assert(sizeof(lt::math::mat4_f64) == sizeof(f64) * num_elements); static_assert(sizeof(lt::math::mat4_i8) == sizeof(i8) * num_elements); static_assert(sizeof(lt::math::mat4_i16) == sizeof(i16) * num_elements); static_assert(sizeof(lt::math::mat4_i32) == sizeof(i32) * num_elements); static_assert(sizeof(lt::math::mat4_i64) == sizeof(i64) * num_elements); static_assert(sizeof(lt::math::mat4_u8) == sizeof(u8) * num_elements); static_assert(sizeof(lt::math::mat4_u16) == sizeof(u16) * num_elements); static_assert(sizeof(lt::math::mat4_u32) == sizeof(u32) * num_elements); static_assert(sizeof(lt::math::mat4_u64) == sizeof(u64) * num_elements); }; Suite raii = "mat4_raii"_suite = [] { Case { "happy paths" } = [] { ignore = mat4 {}; ignore = mat4 { 1.0 }; ignore = 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, }; ignore = 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 }, }; }; Case { "unhappy paths" } = [] { }; Case { "many" } = [] { for (auto idx : std::views::iota(0, 1'000'000)) { ignore = idx; ignore = mat4 {}; ignore = mat4 { 1.0 }; ignore = 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, }; ignore = 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 }, }; } }; Case { "post default construct has correct state" } = [] { const auto [x, y, z, w] = mat4 {}.values; expect_eq(x[0], mat4::Underlying_T {}); 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 {}); 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 {}); 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 {}); }; Case { "post scalar construct has correct state" } = [] { const auto [x, y, z, w] = mat4 { 69.0 }.values; expect_eq(x[0], mat4::Underlying_T { 69.0 }); expect_eq(x[1], mat4::Underlying_T { 69.0 }); expect_eq(x[2], mat4::Underlying_T { 69.0 }); expect_eq(x[3], mat4::Underlying_T { 69.0 }); expect_eq(y[0], mat4::Underlying_T { 69.0 }); expect_eq(y[1], mat4::Underlying_T { 69.0 }); expect_eq(y[2], mat4::Underlying_T { 69.0 }); expect_eq(y[3], mat4::Underlying_T { 69.0 }); expect_eq(z[0], mat4::Underlying_T { 69.0 }); expect_eq(z[1], mat4::Underlying_T { 69.0 }); expect_eq(z[2], mat4::Underlying_T { 69.0 }); expect_eq(z[3], mat4::Underlying_T { 69.0 }); expect_eq(w[0], mat4::Underlying_T { 69.0 }); expect_eq(w[1], mat4::Underlying_T { 69.0 }); expect_eq(w[2], mat4::Underlying_T { 69.0 }); expect_eq(w[3], mat4::Underlying_T { 69.0 }); }; Case { "post construct with all values has correct state" } = [] { const auto [x, y, z, w] = 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, }.values; expect_eq(x[0], mat4::Underlying_T { 1.0 }); expect_eq(x[1], mat4::Underlying_T { 2.0 }); expect_eq(x[2], mat4::Underlying_T { 3.0 }); expect_eq(x[3], mat4::Underlying_T { 4.0 }); expect_eq(y[0], mat4::Underlying_T { 5.0 }); expect_eq(y[1], mat4::Underlying_T { 6.0 }); 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 with columns has correct state" } = [] { const auto [x, y, z, w] = 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 }, }.values; expect_eq(x[0], mat4::Underlying_T { 1.0 }); expect_eq(x[1], mat4::Underlying_T { 2.0 }); expect_eq(x[2], mat4::Underlying_T { 3.0 }); expect_eq(x[3], mat4::Underlying_T { 4.0 }); expect_eq(y[0], mat4::Underlying_T { 5.0 }); expect_eq(y[1], mat4::Underlying_T { 6.0 }); 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); }; };