orange/omath
1
0
Fork 0
mirror of https://github.com/orange-cpp/omath.git synced 2026-06-10 17:24:35 +00:00
Code Issues Packages Projects Releases Wiki Activity

updated z range

Browse Source
This commit is contained in:
Orange
2026-03-23 23:36:19 +03:00
parent a9ff7868cf
commit 4b6db0c402
32 changed files with 592 additions and 79 deletions
Download Patch File Download Diff File Expand all files Collapse all files
include/omath/linear_algebra/mat.hpp
+66 -26
View File
@@ -37,6 +37,12 @@ namespace omath
COLUMN_MAJOR
};
enum class NDCDepthRange : uint8_t
{
NEGATIVE_ONE_TO_ONE = 0, // OpenGL: [-1.0, 1.0]
ZERO_TO_ONE // DirectX / Vulkan: [0.0, 1.0]
};
template<typename M1, typename M2> concept MatTemplateEqual
= (M1::rows == M2::rows) && (M1::columns == M2::columns)
&& std::is_same_v<typename M1::value_type, typename M2::value_type> && (M1::store_type == M2::store_type);
@@ -658,56 +664,90 @@ namespace omath
} * mat_translation<Type, St>(-camera_origin);
}
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR>
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR,
NDCDepthRange DepthRange = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
[[nodiscard]]
Mat<4, 4, Type, St> mat_perspective_left_handed(const float field_of_view, const float aspect_ratio,
const float near, const float far) noexcept
{
const float fov_half_tan = std::tan(angles::degrees_to_radians(field_of_view) / 2.f);
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, (far + near) / (far - near), -(2.f * near * far) / (far - near)},
{0.f, 0.f, 1.f, 0.f}};
if constexpr (DepthRange == NDCDepthRange::ZERO_TO_ONE)
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, far / (far - near), -(near * far) / (far - near)},
{0.f, 0.f, 1.f, 0.f}};
else
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, (far + near) / (far - near), -(2.f * near * far) / (far - near)},
{0.f, 0.f, 1.f, 0.f}};
}
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR>
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR,
NDCDepthRange DepthRange = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
[[nodiscard]]
Mat<4, 4, Type, St> mat_perspective_right_handed(const float field_of_view, const float aspect_ratio,
const float near, const float far) noexcept
{
const float fov_half_tan = std::tan(angles::degrees_to_radians(field_of_view) / 2.f);
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, -(far + near) / (far - near), -(2.f * near * far) / (far - near)},
{0.f, 0.f, -1.f, 0.f}};
if constexpr (DepthRange == NDCDepthRange::ZERO_TO_ONE)
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, -far / (far - near), -(near * far) / (far - near)},
{0.f, 0.f, -1.f, 0.f}};
else
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, -(far + near) / (far - near), -(2.f * near * far) / (far - near)},
{0.f, 0.f, -1.f, 0.f}};
}
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR>
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR,
NDCDepthRange DepthRange = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
[[nodiscard]]
Mat<4, 4, Type, St> mat_ortho_left_handed(const Type left, const Type right, const Type bottom, const Type top,
const Type near, const Type far) noexcept
{
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, static_cast<Type>(2) / (far - near), -(far + near) / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
if constexpr (DepthRange == NDCDepthRange::ZERO_TO_ONE)
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, static_cast<Type>(1) / (far - near), -near / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
else
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, static_cast<Type>(2) / (far - near), -(far + near) / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
}
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR>
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR,
NDCDepthRange DepthRange = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
[[nodiscard]]
Mat<4, 4, Type, St> mat_ortho_right_handed(const Type left, const Type right, const Type bottom, const Type top,
const Type near, const Type far) noexcept
{
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, -static_cast<Type>(2) / (far - near), -(far + near) / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
if constexpr (DepthRange == NDCDepthRange::ZERO_TO_ONE)
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, -static_cast<Type>(1) / (far - near), -near / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
else
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, -static_cast<Type>(2) / (far - near), -(far + near) / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
}
template<class T = float, MatStoreType St = MatStoreType::COLUMN_MAJOR>
Mat<4, 4, T, St> mat_look_at_left_handed(const Vector3<T>& eye, const Vector3<T>& center, const Vector3<T>& up)