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author | LaG1924 <12997935+LaG1924@users.noreply.github.com> | 2021-06-22 02:38:30 +0200 |
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committer | GitHub <noreply@github.com> | 2021-06-22 02:38:30 +0200 |
commit | ca7bcf9f7dc5eb47ccbec1049b323f0604dabadd (patch) | |
tree | 33d7d2673ba0da8a92323b07d061f655c719ae40 /external/include/glm/gtc/matrix_transform.inl | |
parent | Merge pull request #44 from LaG1924/fix/protocol_support (diff) | |
parent | Updated build instructions and added MacOS #49 (diff) | |
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Diffstat (limited to 'external/include/glm/gtc/matrix_transform.inl')
-rw-r--r-- | external/include/glm/gtc/matrix_transform.inl | 808 |
1 files changed, 0 insertions, 808 deletions
diff --git a/external/include/glm/gtc/matrix_transform.inl b/external/include/glm/gtc/matrix_transform.inl deleted file mode 100644 index 12623d7..0000000 --- a/external/include/glm/gtc/matrix_transform.inl +++ /dev/null @@ -1,808 +0,0 @@ -/// @ref gtc_matrix_transform -/// @file glm/gtc/matrix_transform.inl - -#include "../geometric.hpp" -#include "../trigonometric.hpp" -#include "../matrix.hpp" - -namespace glm -{ - template<typename T, qualifier Q> - GLM_FUNC_QUALIFIER mat<4, 4, T, Q> translate(mat<4, 4, T, Q> const& m, vec<3, T, Q> const& v) - { - mat<4, 4, T, Q> Result(m); - Result[3] = m[0] * v[0] + m[1] * v[1] + m[2] * v[2] + m[3]; - return Result; - } - - template<typename T, qualifier Q> - GLM_FUNC_QUALIFIER mat<4, 4, T, Q> rotate(mat<4, 4, T, Q> const& m, T angle, vec<3, T, Q> const& v) - { - T const a = angle; - T const c = cos(a); - T const s = sin(a); - - vec<3, T, Q> axis(normalize(v)); - vec<3, T, Q> temp((T(1) - c) * axis); - - mat<4, 4, T, Q> Rotate; - Rotate[0][0] = c + temp[0] * axis[0]; - Rotate[0][1] = temp[0] * axis[1] + s * axis[2]; - Rotate[0][2] = temp[0] * axis[2] - s * axis[1]; - - Rotate[1][0] = temp[1] * axis[0] - s * axis[2]; - Rotate[1][1] = c + temp[1] * axis[1]; - Rotate[1][2] = temp[1] * axis[2] + s * axis[0]; - - Rotate[2][0] = temp[2] * axis[0] + s * axis[1]; - Rotate[2][1] = temp[2] * axis[1] - s * axis[0]; - Rotate[2][2] = c + temp[2] * axis[2]; - - mat<4, 4, T, Q> Result; - Result[0] = m[0] * Rotate[0][0] + m[1] * Rotate[0][1] + m[2] * Rotate[0][2]; - Result[1] = m[0] * Rotate[1][0] + m[1] * Rotate[1][1] + m[2] * Rotate[1][2]; - Result[2] = m[0] * Rotate[2][0] + m[1] * Rotate[2][1] + m[2] * Rotate[2][2]; - Result[3] = m[3]; - return Result; - } - - template<typename T, qualifier Q> - GLM_FUNC_QUALIFIER mat<4, 4, T, Q> rotate_slow(mat<4, 4, T, Q> const& m, T angle, vec<3, T, Q> const& v) - { - T const a = angle; - T const c = cos(a); - T const s = sin(a); - mat<4, 4, T, Q> Result; - - vec<3, T, Q> axis = normalize(v); - - Result[0][0] = c + (static_cast<T>(1) - c) * axis.x * axis.x; - Result[0][1] = (static_cast<T>(1) - c) * axis.x * axis.y + s * axis.z; - Result[0][2] = (static_cast<T>(1) - c) * axis.x * axis.z - s * axis.y; - Result[0][3] = static_cast<T>(0); - - Result[1][0] = (static_cast<T>(1) - c) * axis.y * axis.x - s * axis.z; - Result[1][1] = c + (static_cast<T>(1) - c) * axis.y * axis.y; - Result[1][2] = (static_cast<T>(1) - c) * axis.y * axis.z + s * axis.x; - Result[1][3] = static_cast<T>(0); - - Result[2][0] = (static_cast<T>(1) - c) * axis.z * axis.x + s * axis.y; - Result[2][1] = (static_cast<T>(1) - c) * axis.z * axis.y - s * axis.x; - Result[2][2] = c + (static_cast<T>(1) - c) * axis.z * axis.z; - Result[2][3] = static_cast<T>(0); - - Result[3] = vec<4, T, Q>(0, 0, 0, 1); - return m * Result; - } - - template<typename T, qualifier Q> - GLM_FUNC_QUALIFIER mat<4, 4, T, Q> scale(mat<4, 4, T, Q> const& m, vec<3, T, Q> const& v) - { - mat<4, 4, T, Q> Result; - Result[0] = m[0] * v[0]; - Result[1] = m[1] * v[1]; - Result[2] = m[2] * v[2]; - Result[3] = m[3]; - return Result; - } - - template<typename T, qualifier Q> - GLM_FUNC_QUALIFIER mat<4, 4, T, Q> scale_slow(mat<4, 4, T, Q> const& m, vec<3, T, Q> const& v) - { - mat<4, 4, T, Q> Result(T(1)); - Result[0][0] = v.x; - Result[1][1] = v.y; - Result[2][2] = v.z; - return m * Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> ortho(T left, T right, T bottom, T top) - { - mat<4, 4, T, defaultp> Result(static_cast<T>(1)); - Result[0][0] = static_cast<T>(2) / (right - left); - Result[1][1] = static_cast<T>(2) / (top - bottom); - Result[3][0] = - (right + left) / (right - left); - Result[3][1] = - (top + bottom) / (top - bottom); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH_ZO(T left, T right, T bottom, T top, T zNear, T zFar) - { - mat<4, 4, T, defaultp> Result(1); - Result[0][0] = static_cast<T>(2) / (right - left); - Result[1][1] = static_cast<T>(2) / (top - bottom); - Result[2][2] = static_cast<T>(1) / (zFar - zNear); - Result[3][0] = - (right + left) / (right - left); - Result[3][1] = - (top + bottom) / (top - bottom); - Result[3][2] = - zNear / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH_NO(T left, T right, T bottom, T top, T zNear, T zFar) - { - mat<4, 4, T, defaultp> Result(1); - Result[0][0] = static_cast<T>(2) / (right - left); - Result[1][1] = static_cast<T>(2) / (top - bottom); - Result[2][2] = static_cast<T>(2) / (zFar - zNear); - Result[3][0] = - (right + left) / (right - left); - Result[3][1] = - (top + bottom) / (top - bottom); - Result[3][2] = - (zFar + zNear) / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH_ZO(T left, T right, T bottom, T top, T zNear, T zFar) - { - mat<4, 4, T, defaultp> Result(1); - Result[0][0] = static_cast<T>(2) / (right - left); - Result[1][1] = static_cast<T>(2) / (top - bottom); - Result[2][2] = - static_cast<T>(1) / (zFar - zNear); - Result[3][0] = - (right + left) / (right - left); - Result[3][1] = - (top + bottom) / (top - bottom); - Result[3][2] = - zNear / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH_NO(T left, T right, T bottom, T top, T zNear, T zFar) - { - mat<4, 4, T, defaultp> Result(1); - Result[0][0] = static_cast<T>(2) / (right - left); - Result[1][1] = static_cast<T>(2) / (top - bottom); - Result[2][2] = - static_cast<T>(2) / (zFar - zNear); - Result[3][0] = - (right + left) / (right - left); - Result[3][1] = - (top + bottom) / (top - bottom); - Result[3][2] = - (zFar + zNear) / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoZO(T left, T right, T bottom, T top, T zNear, T zFar) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED - return orthoLH_ZO(left, right, bottom, top, zNear, zFar); -# else - return orthoRH_ZO(left, right, bottom, top, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoNO(T left, T right, T bottom, T top, T zNear, T zFar) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED - return orthoLH_NO(left, right, bottom, top, zNear, zFar); -# else - return orthoRH_NO(left, right, bottom, top, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH(T left, T right, T bottom, T top, T zNear, T zFar) - { -# if GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return orthoLH_ZO(left, right, bottom, top, zNear, zFar); -# else - return orthoLH_NO(left, right, bottom, top, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH(T left, T right, T bottom, T top, T zNear, T zFar) - { -# if GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return orthoRH_ZO(left, right, bottom, top, zNear, zFar); -# else - return orthoRH_NO(left, right, bottom, top, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> ortho(T left, T right, T bottom, T top, T zNear, T zFar) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return orthoLH_ZO(left, right, bottom, top, zNear, zFar); -# elif GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_NEGATIVE_ONE_TO_ONE - return orthoLH_NO(left, right, bottom, top, zNear, zFar); -# elif GLM_COORDINATE_SYSTEM == GLM_RIGHT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return orthoRH_ZO(left, right, bottom, top, zNear, zFar); -# elif GLM_COORDINATE_SYSTEM == GLM_RIGHT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_NEGATIVE_ONE_TO_ONE - return orthoRH_NO(left, right, bottom, top, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH_ZO(T left, T right, T bottom, T top, T nearVal, T farVal) - { - mat<4, 4, T, defaultp> Result(0); - Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left); - Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom); - Result[2][0] = (right + left) / (right - left); - Result[2][1] = (top + bottom) / (top - bottom); - Result[2][2] = farVal / (farVal - nearVal); - Result[2][3] = static_cast<T>(1); - Result[3][2] = -(farVal * nearVal) / (farVal - nearVal); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH_NO(T left, T right, T bottom, T top, T nearVal, T farVal) - { - mat<4, 4, T, defaultp> Result(0); - Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left); - Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom); - Result[2][0] = (right + left) / (right - left); - Result[2][1] = (top + bottom) / (top - bottom); - Result[2][2] = (farVal + nearVal) / (farVal - nearVal); - Result[2][3] = static_cast<T>(1); - Result[3][2] = - (static_cast<T>(2) * farVal * nearVal) / (farVal - nearVal); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH_ZO(T left, T right, T bottom, T top, T nearVal, T farVal) - { - mat<4, 4, T, defaultp> Result(0); - Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left); - Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom); - Result[2][0] = (right + left) / (right - left); - Result[2][1] = (top + bottom) / (top - bottom); - Result[2][2] = farVal / (nearVal - farVal); - Result[2][3] = static_cast<T>(-1); - Result[3][2] = -(farVal * nearVal) / (farVal - nearVal); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH_NO(T left, T right, T bottom, T top, T nearVal, T farVal) - { - mat<4, 4, T, defaultp> Result(0); - Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left); - Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom); - Result[2][0] = (right + left) / (right - left); - Result[2][1] = (top + bottom) / (top - bottom); - Result[2][2] = - (farVal + nearVal) / (farVal - nearVal); - Result[2][3] = static_cast<T>(-1); - Result[3][2] = - (static_cast<T>(2) * farVal * nearVal) / (farVal - nearVal); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumZO(T left, T right, T bottom, T top, T nearVal, T farVal) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED - return frustumLH_ZO(left, right, bottom, top, nearVal, farVal); -# else - return frustumRH_ZO(left, right, bottom, top, nearVal, farVal); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumNO(T left, T right, T bottom, T top, T nearVal, T farVal) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED - return frustumLH_NO(left, right, bottom, top, nearVal, farVal); -# else - return frustumRH_NO(left, right, bottom, top, nearVal, farVal); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH(T left, T right, T bottom, T top, T nearVal, T farVal) - { -# if GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return frustumLH_ZO(left, right, bottom, top, nearVal, farVal); -# else - return frustumLH_NO(left, right, bottom, top, nearVal, farVal); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH(T left, T right, T bottom, T top, T nearVal, T farVal) - { -# if GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return frustumRH_ZO(left, right, bottom, top, nearVal, farVal); -# else - return frustumRH_NO(left, right, bottom, top, nearVal, farVal); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustum(T left, T right, T bottom, T top, T nearVal, T farVal) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return frustumLH_ZO(left, right, bottom, top, nearVal, farVal); -# elif GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_NEGATIVE_ONE_TO_ONE - return frustumLH_NO(left, right, bottom, top, nearVal, farVal); -# elif GLM_COORDINATE_SYSTEM == GLM_RIGHT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return frustumRH_ZO(left, right, bottom, top, nearVal, farVal); -# elif GLM_COORDINATE_SYSTEM == GLM_RIGHT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_NEGATIVE_ONE_TO_ONE - return frustumRH_NO(left, right, bottom, top, nearVal, farVal); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH_ZO(T fovy, T aspect, T zNear, T zFar) - { - assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0)); - - T const tanHalfFovy = tan(fovy / static_cast<T>(2)); - - mat<4, 4, T, defaultp> Result(static_cast<T>(0)); - Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy); - Result[1][1] = static_cast<T>(1) / (tanHalfFovy); - Result[2][2] = zFar / (zNear - zFar); - Result[2][3] = - static_cast<T>(1); - Result[3][2] = -(zFar * zNear) / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH_NO(T fovy, T aspect, T zNear, T zFar) - { - assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0)); - - T const tanHalfFovy = tan(fovy / static_cast<T>(2)); - - mat<4, 4, T, defaultp> Result(static_cast<T>(0)); - Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy); - Result[1][1] = static_cast<T>(1) / (tanHalfFovy); - Result[2][2] = - (zFar + zNear) / (zFar - zNear); - Result[2][3] = - static_cast<T>(1); - Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH_ZO(T fovy, T aspect, T zNear, T zFar) - { - assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0)); - - T const tanHalfFovy = tan(fovy / static_cast<T>(2)); - - mat<4, 4, T, defaultp> Result(static_cast<T>(0)); - Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy); - Result[1][1] = static_cast<T>(1) / (tanHalfFovy); - Result[2][2] = zFar / (zFar - zNear); - Result[2][3] = static_cast<T>(1); - Result[3][2] = -(zFar * zNear) / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH_NO(T fovy, T aspect, T zNear, T zFar) - { - assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0)); - - T const tanHalfFovy = tan(fovy / static_cast<T>(2)); - - mat<4, 4, T, defaultp> Result(static_cast<T>(0)); - Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy); - Result[1][1] = static_cast<T>(1) / (tanHalfFovy); - Result[2][2] = (zFar + zNear) / (zFar - zNear); - Result[2][3] = static_cast<T>(1); - Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveZO(T fovy, T aspect, T zNear, T zFar) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED - return perspectiveLH_ZO(fovy, aspect, zNear, zFar); -# else - return perspectiveRH_ZO(fovy, aspect, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveNO(T fovy, T aspect, T zNear, T zFar) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED - return perspectiveLH_NO(fovy, aspect, zNear, zFar); -# else - return perspectiveRH_NO(fovy, aspect, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH(T fovy, T aspect, T zNear, T zFar) - { -# if GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return perspectiveLH_ZO(fovy, aspect, zNear, zFar); -# else - return perspectiveLH_NO(fovy, aspect, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH(T fovy, T aspect, T zNear, T zFar) - { -# if GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return perspectiveRH_ZO(fovy, aspect, zNear, zFar); -# else - return perspectiveRH_NO(fovy, aspect, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspective(T fovy, T aspect, T zNear, T zFar) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return perspectiveLH_ZO(fovy, aspect, zNear, zFar); -# elif GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_NEGATIVE_ONE_TO_ONE - return perspectiveLH_NO(fovy, aspect, zNear, zFar); -# elif GLM_COORDINATE_SYSTEM == GLM_RIGHT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return perspectiveRH_ZO(fovy, aspect, zNear, zFar); -# elif GLM_COORDINATE_SYSTEM == GLM_RIGHT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_NEGATIVE_ONE_TO_ONE - return perspectiveRH_NO(fovy, aspect, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH_ZO(T fov, T width, T height, T zNear, T zFar) - { - assert(width > static_cast<T>(0)); - assert(height > static_cast<T>(0)); - assert(fov > static_cast<T>(0)); - - T const rad = fov; - T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad); - T const w = h * height / width; ///todo max(width , Height) / min(width , Height)? - - mat<4, 4, T, defaultp> Result(static_cast<T>(0)); - Result[0][0] = w; - Result[1][1] = h; - Result[2][2] = zFar / (zNear - zFar); - Result[2][3] = - static_cast<T>(1); - Result[3][2] = -(zFar * zNear) / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH_NO(T fov, T width, T height, T zNear, T zFar) - { - assert(width > static_cast<T>(0)); - assert(height > static_cast<T>(0)); - assert(fov > static_cast<T>(0)); - - T const rad = fov; - T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad); - T const w = h * height / width; ///todo max(width , Height) / min(width , Height)? - - mat<4, 4, T, defaultp> Result(static_cast<T>(0)); - Result[0][0] = w; - Result[1][1] = h; - Result[2][2] = - (zFar + zNear) / (zFar - zNear); - Result[2][3] = - static_cast<T>(1); - Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH_ZO(T fov, T width, T height, T zNear, T zFar) - { - assert(width > static_cast<T>(0)); - assert(height > static_cast<T>(0)); - assert(fov > static_cast<T>(0)); - - T const rad = fov; - T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad); - T const w = h * height / width; ///todo max(width , Height) / min(width , Height)? - - mat<4, 4, T, defaultp> Result(static_cast<T>(0)); - Result[0][0] = w; - Result[1][1] = h; - Result[2][2] = zFar / (zFar - zNear); - Result[2][3] = static_cast<T>(1); - Result[3][2] = -(zFar * zNear) / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH_NO(T fov, T width, T height, T zNear, T zFar) - { - assert(width > static_cast<T>(0)); - assert(height > static_cast<T>(0)); - assert(fov > static_cast<T>(0)); - - T const rad = fov; - T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad); - T const w = h * height / width; ///todo max(width , Height) / min(width , Height)? - - mat<4, 4, T, defaultp> Result(static_cast<T>(0)); - Result[0][0] = w; - Result[1][1] = h; - Result[2][2] = (zFar + zNear) / (zFar - zNear); - Result[2][3] = static_cast<T>(1); - Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear); - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovZO(T fov, T width, T height, T zNear, T zFar) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED - return perspectiveFovLH_ZO(fov, width, height, zNear, zFar); -# else - return perspectiveFovRH_ZO(fov, width, height, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovNO(T fov, T width, T height, T zNear, T zFar) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED - return perspectiveFovLH_NO(fov, width, height, zNear, zFar); -# else - return perspectiveFovRH_NO(fov, width, height, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH(T fov, T width, T height, T zNear, T zFar) - { -# if GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return perspectiveFovLH_ZO(fov, width, height, zNear, zFar); -# else - return perspectiveFovLH_NO(fov, width, height, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH(T fov, T width, T height, T zNear, T zFar) - { -# if GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return perspectiveFovRH_ZO(fov, width, height, zNear, zFar); -# else - return perspectiveFovRH_NO(fov, width, height, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFov(T fov, T width, T height, T zNear, T zFar) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return perspectiveFovLH_ZO(fov, width, height, zNear, zFar); -# elif GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_NEGATIVE_ONE_TO_ONE - return perspectiveFovLH_NO(fov, width, height, zNear, zFar); -# elif GLM_COORDINATE_SYSTEM == GLM_RIGHT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return perspectiveFovRH_ZO(fov, width, height, zNear, zFar); -# elif GLM_COORDINATE_SYSTEM == GLM_RIGHT_HANDED && GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_NEGATIVE_ONE_TO_ONE - return perspectiveFovRH_NO(fov, width, height, zNear, zFar); -# endif - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveRH(T fovy, T aspect, T zNear) - { - T const range = tan(fovy / static_cast<T>(2)) * zNear; - T const left = -range * aspect; - T const right = range * aspect; - T const bottom = -range; - T const top = range; - - mat<4, 4, T, defaultp> Result(static_cast<T>(0)); - Result[0][0] = (static_cast<T>(2) * zNear) / (right - left); - Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom); - Result[2][2] = - static_cast<T>(1); - Result[2][3] = - static_cast<T>(1); - Result[3][2] = - static_cast<T>(2) * zNear; - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveLH(T fovy, T aspect, T zNear) - { - T const range = tan(fovy / static_cast<T>(2)) * zNear; - T const left = -range * aspect; - T const right = range * aspect; - T const bottom = -range; - T const top = range; - - mat<4, 4, T, defaultp> Result(T(0)); - Result[0][0] = (static_cast<T>(2) * zNear) / (right - left); - Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom); - Result[2][2] = static_cast<T>(1); - Result[2][3] = static_cast<T>(1); - Result[3][2] = - static_cast<T>(2) * zNear; - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspective(T fovy, T aspect, T zNear) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED - return infinitePerspectiveLH(fovy, aspect, zNear); -# else - return infinitePerspectiveRH(fovy, aspect, zNear); -# endif - } - - // Infinite projection matrix: http://www.terathon.com/gdc07_lengyel.pdf - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> tweakedInfinitePerspective(T fovy, T aspect, T zNear, T ep) - { - T const range = tan(fovy / static_cast<T>(2)) * zNear; - T const left = -range * aspect; - T const right = range * aspect; - T const bottom = -range; - T const top = range; - - mat<4, 4, T, defaultp> Result(static_cast<T>(0)); - Result[0][0] = (static_cast<T>(2) * zNear) / (right - left); - Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom); - Result[2][2] = ep - static_cast<T>(1); - Result[2][3] = static_cast<T>(-1); - Result[3][2] = (ep - static_cast<T>(2)) * zNear; - return Result; - } - - template<typename T> - GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> tweakedInfinitePerspective(T fovy, T aspect, T zNear) - { - return tweakedInfinitePerspective(fovy, aspect, zNear, epsilon<T>()); - } - - template<typename T, typename U, qualifier Q> - GLM_FUNC_QUALIFIER vec<3, T, Q> projectZO(vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport) - { - vec<4, T, Q> tmp = vec<4, T, Q>(obj, static_cast<T>(1)); - tmp = model * tmp; - tmp = proj * tmp; - - tmp /= tmp.w; - tmp.x = tmp.x * static_cast<T>(0.5) + static_cast<T>(0.5); - tmp.y = tmp.y * static_cast<T>(0.5) + static_cast<T>(0.5); - - tmp[0] = tmp[0] * T(viewport[2]) + T(viewport[0]); - tmp[1] = tmp[1] * T(viewport[3]) + T(viewport[1]); - - return vec<3, T, Q>(tmp); - } - - template<typename T, typename U, qualifier Q> - GLM_FUNC_QUALIFIER vec<3, T, Q> projectNO(vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport) - { - vec<4, T, Q> tmp = vec<4, T, Q>(obj, static_cast<T>(1)); - tmp = model * tmp; - tmp = proj * tmp; - - tmp /= tmp.w; - tmp = tmp * static_cast<T>(0.5) + static_cast<T>(0.5); - tmp[0] = tmp[0] * T(viewport[2]) + T(viewport[0]); - tmp[1] = tmp[1] * T(viewport[3]) + T(viewport[1]); - - return vec<3, T, Q>(tmp); - } - - template<typename T, typename U, qualifier Q> - GLM_FUNC_QUALIFIER vec<3, T, Q> project(vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport) - { -# if GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return projectZO(obj, model, proj, viewport); -# else - return projectNO(obj, model, proj, viewport); -# endif - } - - template<typename T, typename U, qualifier Q> - GLM_FUNC_QUALIFIER vec<3, T, Q> unProjectZO(vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport) - { - mat<4, 4, T, Q> Inverse = inverse(proj * model); - - vec<4, T, Q> tmp = vec<4, T, Q>(win, T(1)); - tmp.x = (tmp.x - T(viewport[0])) / T(viewport[2]); - tmp.y = (tmp.y - T(viewport[1])) / T(viewport[3]); - tmp.x = tmp.x * static_cast<T>(2) - static_cast<T>(1); - tmp.y = tmp.y * static_cast<T>(2) - static_cast<T>(1); - - vec<4, T, Q> obj = Inverse * tmp; - obj /= obj.w; - - return vec<3, T, Q>(obj); - } - - template<typename T, typename U, qualifier Q> - GLM_FUNC_QUALIFIER vec<3, T, Q> unProjectNO(vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport) - { - mat<4, 4, T, Q> Inverse = inverse(proj * model); - - vec<4, T, Q> tmp = vec<4, T, Q>(win, T(1)); - tmp.x = (tmp.x - T(viewport[0])) / T(viewport[2]); - tmp.y = (tmp.y - T(viewport[1])) / T(viewport[3]); - tmp = tmp * static_cast<T>(2) - static_cast<T>(1); - - vec<4, T, Q> obj = Inverse * tmp; - obj /= obj.w; - - return vec<3, T, Q>(obj); - } - - template<typename T, typename U, qualifier Q> - GLM_FUNC_QUALIFIER vec<3, T, Q> unProject(vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport) - { -# if GLM_DEPTH_CLIP_SPACE == GLM_DEPTH_ZERO_TO_ONE - return unProjectZO(win, model, proj, viewport); -# else - return unProjectNO(win, model, proj, viewport); -# endif - } - - template<typename T, qualifier Q, typename U> - GLM_FUNC_QUALIFIER mat<4, 4, T, Q> pickMatrix(vec<2, T, Q> const& center, vec<2, T, Q> const& delta, vec<4, U, Q> const& viewport) - { - assert(delta.x > static_cast<T>(0) && delta.y > static_cast<T>(0)); - mat<4, 4, T, Q> Result(static_cast<T>(1)); - - if(!(delta.x > static_cast<T>(0) && delta.y > static_cast<T>(0))) - return Result; // Error - - vec<3, T, Q> Temp( - (static_cast<T>(viewport[2]) - static_cast<T>(2) * (center.x - static_cast<T>(viewport[0]))) / delta.x, - (static_cast<T>(viewport[3]) - static_cast<T>(2) * (center.y - static_cast<T>(viewport[1]))) / delta.y, - static_cast<T>(0)); - - // Translate and scale the picked region to the entire window - Result = translate(Result, Temp); - return scale(Result, vec<3, T, Q>(static_cast<T>(viewport[2]) / delta.x, static_cast<T>(viewport[3]) / delta.y, static_cast<T>(1))); - } - - template<typename T, qualifier Q> - GLM_FUNC_QUALIFIER mat<4, 4, T, Q> lookAtRH(vec<3, T, Q> const& eye, vec<3, T, Q> const& center, vec<3, T, Q> const& up) - { - vec<3, T, Q> const f(normalize(center - eye)); - vec<3, T, Q> const s(normalize(cross(f, up))); - vec<3, T, Q> const u(cross(s, f)); - - mat<4, 4, T, Q> Result(1); - Result[0][0] = s.x; - Result[1][0] = s.y; - Result[2][0] = s.z; - Result[0][1] = u.x; - Result[1][1] = u.y; - Result[2][1] = u.z; - Result[0][2] =-f.x; - Result[1][2] =-f.y; - Result[2][2] =-f.z; - Result[3][0] =-dot(s, eye); - Result[3][1] =-dot(u, eye); - Result[3][2] = dot(f, eye); - return Result; - } - - template<typename T, qualifier Q> - GLM_FUNC_QUALIFIER mat<4, 4, T, Q> lookAtLH(vec<3, T, Q> const& eye, vec<3, T, Q> const& center, vec<3, T, Q> const& up) - { - vec<3, T, Q> const f(normalize(center - eye)); - vec<3, T, Q> const s(normalize(cross(up, f))); - vec<3, T, Q> const u(cross(f, s)); - - mat<4, 4, T, Q> Result(1); - Result[0][0] = s.x; - Result[1][0] = s.y; - Result[2][0] = s.z; - Result[0][1] = u.x; - Result[1][1] = u.y; - Result[2][1] = u.z; - Result[0][2] = f.x; - Result[1][2] = f.y; - Result[2][2] = f.z; - Result[3][0] = -dot(s, eye); - Result[3][1] = -dot(u, eye); - Result[3][2] = -dot(f, eye); - return Result; - } - - template<typename T, qualifier Q> - GLM_FUNC_QUALIFIER mat<4, 4, T, Q> lookAt(vec<3, T, Q> const& eye, vec<3, T, Q> const& center, vec<3, T, Q> const& up) - { -# if GLM_COORDINATE_SYSTEM == GLM_LEFT_HANDED - return lookAtLH(eye, center, up); -# else - return lookAtRH(eye, center, up); -# endif - } -}//namespace glm |