From a8b3118e8305fd1c668ea25e07157b625c9747ff Mon Sep 17 00:00:00 2001 From: Joursoir Date: Sat, 10 Apr 2021 17:29:02 +0000 Subject: add glm headers --- src/include/glm/gtx/euler_angles.inl | 899 +++++++++++++++++++++++++++++++++++ 1 file changed, 899 insertions(+) create mode 100644 src/include/glm/gtx/euler_angles.inl (limited to 'src/include/glm/gtx/euler_angles.inl') diff --git a/src/include/glm/gtx/euler_angles.inl b/src/include/glm/gtx/euler_angles.inl new file mode 100644 index 0000000..d9f672b --- /dev/null +++ b/src/include/glm/gtx/euler_angles.inl @@ -0,0 +1,899 @@ +/// @ref gtx_euler_angles + +#include "compatibility.hpp" // glm::atan2 + +namespace glm +{ + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleX + ( + T const& angleX + ) + { + T cosX = glm::cos(angleX); + T sinX = glm::sin(angleX); + + return mat<4, 4, T, defaultp>( + T(1), T(0), T(0), T(0), + T(0), cosX, sinX, T(0), + T(0),-sinX, cosX, T(0), + T(0), T(0), T(0), T(1)); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleY + ( + T const& angleY + ) + { + T cosY = glm::cos(angleY); + T sinY = glm::sin(angleY); + + return mat<4, 4, T, defaultp>( + cosY, T(0), -sinY, T(0), + T(0), T(1), T(0), T(0), + sinY, T(0), cosY, T(0), + T(0), T(0), T(0), T(1)); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZ + ( + T const& angleZ + ) + { + T cosZ = glm::cos(angleZ); + T sinZ = glm::sin(angleZ); + + return mat<4, 4, T, defaultp>( + cosZ, sinZ, T(0), T(0), + -sinZ, cosZ, T(0), T(0), + T(0), T(0), T(1), T(0), + T(0), T(0), T(0), T(1)); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> derivedEulerAngleX + ( + T const & angleX, + T const & angularVelocityX + ) + { + T cosX = glm::cos(angleX) * angularVelocityX; + T sinX = glm::sin(angleX) * angularVelocityX; + + return mat<4, 4, T, defaultp>( + T(0), T(0), T(0), T(0), + T(0),-sinX, cosX, T(0), + T(0),-cosX,-sinX, T(0), + T(0), T(0), T(0), T(0)); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> derivedEulerAngleY + ( + T const & angleY, + T const & angularVelocityY + ) + { + T cosY = glm::cos(angleY) * angularVelocityY; + T sinY = glm::sin(angleY) * angularVelocityY; + + return mat<4, 4, T, defaultp>( + -sinY, T(0), -cosY, T(0), + T(0), T(0), T(0), T(0), + cosY, T(0), -sinY, T(0), + T(0), T(0), T(0), T(0)); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> derivedEulerAngleZ + ( + T const & angleZ, + T const & angularVelocityZ + ) + { + T cosZ = glm::cos(angleZ) * angularVelocityZ; + T sinZ = glm::sin(angleZ) * angularVelocityZ; + + return mat<4, 4, T, defaultp>( + -sinZ, cosZ, T(0), T(0), + -cosZ, -sinZ, T(0), T(0), + T(0), T(0), T(0), T(0), + T(0), T(0), T(0), T(0)); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXY + ( + T const& angleX, + T const& angleY + ) + { + T cosX = glm::cos(angleX); + T sinX = glm::sin(angleX); + T cosY = glm::cos(angleY); + T sinY = glm::sin(angleY); + + return mat<4, 4, T, defaultp>( + cosY, -sinX * -sinY, cosX * -sinY, T(0), + T(0), cosX, sinX, T(0), + sinY, -sinX * cosY, cosX * cosY, T(0), + T(0), T(0), T(0), T(1)); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYX + ( + T const& angleY, + T const& angleX + ) + { + T cosX = glm::cos(angleX); + T sinX = glm::sin(angleX); + T cosY = glm::cos(angleY); + T sinY = glm::sin(angleY); + + return mat<4, 4, T, defaultp>( + cosY, 0, -sinY, T(0), + sinY * sinX, cosX, cosY * sinX, T(0), + sinY * cosX, -sinX, cosY * cosX, T(0), + T(0), T(0), T(0), T(1)); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXZ + ( + T const& angleX, + T const& angleZ + ) + { + return eulerAngleX(angleX) * eulerAngleZ(angleZ); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZX + ( + T const& angleZ, + T const& angleX + ) + { + return eulerAngleZ(angleZ) * eulerAngleX(angleX); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYZ + ( + T const& angleY, + T const& angleZ + ) + { + return eulerAngleY(angleY) * eulerAngleZ(angleZ); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZY + ( + T const& angleZ, + T const& angleY + ) + { + return eulerAngleZ(angleZ) * eulerAngleY(angleY); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXYZ + ( + T const& t1, + T const& t2, + T const& t3 + ) + { + T c1 = glm::cos(-t1); + T c2 = glm::cos(-t2); + T c3 = glm::cos(-t3); + T s1 = glm::sin(-t1); + T s2 = glm::sin(-t2); + T s3 = glm::sin(-t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c2 * c3; + Result[0][1] =-c1 * s3 + s1 * s2 * c3; + Result[0][2] = s1 * s3 + c1 * s2 * c3; + Result[0][3] = static_cast(0); + Result[1][0] = c2 * s3; + Result[1][1] = c1 * c3 + s1 * s2 * s3; + Result[1][2] =-s1 * c3 + c1 * s2 * s3; + Result[1][3] = static_cast(0); + Result[2][0] =-s2; + Result[2][1] = s1 * c2; + Result[2][2] = c1 * c2; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYXZ + ( + T const& yaw, + T const& pitch, + T const& roll + ) + { + T tmp_ch = glm::cos(yaw); + T tmp_sh = glm::sin(yaw); + T tmp_cp = glm::cos(pitch); + T tmp_sp = glm::sin(pitch); + T tmp_cb = glm::cos(roll); + T tmp_sb = glm::sin(roll); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb; + Result[0][1] = tmp_sb * tmp_cp; + Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb; + Result[0][3] = static_cast(0); + Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb; + Result[1][1] = tmp_cb * tmp_cp; + Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb; + Result[1][3] = static_cast(0); + Result[2][0] = tmp_sh * tmp_cp; + Result[2][1] = -tmp_sp; + Result[2][2] = tmp_ch * tmp_cp; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXZX + ( + T const & t1, + T const & t2, + T const & t3 + ) + { + T c1 = glm::cos(t1); + T s1 = glm::sin(t1); + T c2 = glm::cos(t2); + T s2 = glm::sin(t2); + T c3 = glm::cos(t3); + T s3 = glm::sin(t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c2; + Result[0][1] = c1 * s2; + Result[0][2] = s1 * s2; + Result[0][3] = static_cast(0); + Result[1][0] =-c3 * s2; + Result[1][1] = c1 * c2 * c3 - s1 * s3; + Result[1][2] = c1 * s3 + c2 * c3 * s1; + Result[1][3] = static_cast(0); + Result[2][0] = s2 * s3; + Result[2][1] =-c3 * s1 - c1 * c2 * s3; + Result[2][2] = c1 * c3 - c2 * s1 * s3; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXYX + ( + T const & t1, + T const & t2, + T const & t3 + ) + { + T c1 = glm::cos(t1); + T s1 = glm::sin(t1); + T c2 = glm::cos(t2); + T s2 = glm::sin(t2); + T c3 = glm::cos(t3); + T s3 = glm::sin(t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c2; + Result[0][1] = s1 * s2; + Result[0][2] =-c1 * s2; + Result[0][3] = static_cast(0); + Result[1][0] = s2 * s3; + Result[1][1] = c1 * c3 - c2 * s1 * s3; + Result[1][2] = c3 * s1 + c1 * c2 * s3; + Result[1][3] = static_cast(0); + Result[2][0] = c3 * s2; + Result[2][1] =-c1 * s3 - c2 * c3 * s1; + Result[2][2] = c1 * c2 * c3 - s1 * s3; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYXY + ( + T const & t1, + T const & t2, + T const & t3 + ) + { + T c1 = glm::cos(t1); + T s1 = glm::sin(t1); + T c2 = glm::cos(t2); + T s2 = glm::sin(t2); + T c3 = glm::cos(t3); + T s3 = glm::sin(t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c1 * c3 - c2 * s1 * s3; + Result[0][1] = s2* s3; + Result[0][2] =-c3 * s1 - c1 * c2 * s3; + Result[0][3] = static_cast(0); + Result[1][0] = s1 * s2; + Result[1][1] = c2; + Result[1][2] = c1 * s2; + Result[1][3] = static_cast(0); + Result[2][0] = c1 * s3 + c2 * c3 * s1; + Result[2][1] =-c3 * s2; + Result[2][2] = c1 * c2 * c3 - s1 * s3; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYZY + ( + T const & t1, + T const & t2, + T const & t3 + ) + { + T c1 = glm::cos(t1); + T s1 = glm::sin(t1); + T c2 = glm::cos(t2); + T s2 = glm::sin(t2); + T c3 = glm::cos(t3); + T s3 = glm::sin(t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c1 * c2 * c3 - s1 * s3; + Result[0][1] = c3 * s2; + Result[0][2] =-c1 * s3 - c2 * c3 * s1; + Result[0][3] = static_cast(0); + Result[1][0] =-c1 * s2; + Result[1][1] = c2; + Result[1][2] = s1 * s2; + Result[1][3] = static_cast(0); + Result[2][0] = c3 * s1 + c1 * c2 * s3; + Result[2][1] = s2 * s3; + Result[2][2] = c1 * c3 - c2 * s1 * s3; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZYZ + ( + T const & t1, + T const & t2, + T const & t3 + ) + { + T c1 = glm::cos(t1); + T s1 = glm::sin(t1); + T c2 = glm::cos(t2); + T s2 = glm::sin(t2); + T c3 = glm::cos(t3); + T s3 = glm::sin(t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c1 * c2 * c3 - s1 * s3; + Result[0][1] = c1 * s3 + c2 * c3 * s1; + Result[0][2] =-c3 * s2; + Result[0][3] = static_cast(0); + Result[1][0] =-c3 * s1 - c1 * c2 * s3; + Result[1][1] = c1 * c3 - c2 * s1 * s3; + Result[1][2] = s2 * s3; + Result[1][3] = static_cast(0); + Result[2][0] = c1 * s2; + Result[2][1] = s1 * s2; + Result[2][2] = c2; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZXZ + ( + T const & t1, + T const & t2, + T const & t3 + ) + { + T c1 = glm::cos(t1); + T s1 = glm::sin(t1); + T c2 = glm::cos(t2); + T s2 = glm::sin(t2); + T c3 = glm::cos(t3); + T s3 = glm::sin(t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c1 * c3 - c2 * s1 * s3; + Result[0][1] = c3 * s1 + c1 * c2 * s3; + Result[0][2] = s2 *s3; + Result[0][3] = static_cast(0); + Result[1][0] =-c1 * s3 - c2 * c3 * s1; + Result[1][1] = c1 * c2 * c3 - s1 * s3; + Result[1][2] = c3 * s2; + Result[1][3] = static_cast(0); + Result[2][0] = s1 * s2; + Result[2][1] =-c1 * s2; + Result[2][2] = c2; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXZY + ( + T const & t1, + T const & t2, + T const & t3 + ) + { + T c1 = glm::cos(t1); + T s1 = glm::sin(t1); + T c2 = glm::cos(t2); + T s2 = glm::sin(t2); + T c3 = glm::cos(t3); + T s3 = glm::sin(t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c2 * c3; + Result[0][1] = s1 * s3 + c1 * c3 * s2; + Result[0][2] = c3 * s1 * s2 - c1 * s3; + Result[0][3] = static_cast(0); + Result[1][0] =-s2; + Result[1][1] = c1 * c2; + Result[1][2] = c2 * s1; + Result[1][3] = static_cast(0); + Result[2][0] = c2 * s3; + Result[2][1] = c1 * s2 * s3 - c3 * s1; + Result[2][2] = c1 * c3 + s1 * s2 *s3; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYZX + ( + T const & t1, + T const & t2, + T const & t3 + ) + { + T c1 = glm::cos(t1); + T s1 = glm::sin(t1); + T c2 = glm::cos(t2); + T s2 = glm::sin(t2); + T c3 = glm::cos(t3); + T s3 = glm::sin(t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c1 * c2; + Result[0][1] = s2; + Result[0][2] =-c2 * s1; + Result[0][3] = static_cast(0); + Result[1][0] = s1 * s3 - c1 * c3 * s2; + Result[1][1] = c2 * c3; + Result[1][2] = c1 * s3 + c3 * s1 * s2; + Result[1][3] = static_cast(0); + Result[2][0] = c3 * s1 + c1 * s2 * s3; + Result[2][1] =-c2 * s3; + Result[2][2] = c1 * c3 - s1 * s2 * s3; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZYX + ( + T const & t1, + T const & t2, + T const & t3 + ) + { + T c1 = glm::cos(t1); + T s1 = glm::sin(t1); + T c2 = glm::cos(t2); + T s2 = glm::sin(t2); + T c3 = glm::cos(t3); + T s3 = glm::sin(t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c1 * c2; + Result[0][1] = c2 * s1; + Result[0][2] =-s2; + Result[0][3] = static_cast(0); + Result[1][0] = c1 * s2 * s3 - c3 * s1; + Result[1][1] = c1 * c3 + s1 * s2 * s3; + Result[1][2] = c2 * s3; + Result[1][3] = static_cast(0); + Result[2][0] = s1 * s3 + c1 * c3 * s2; + Result[2][1] = c3 * s1 * s2 - c1 * s3; + Result[2][2] = c2 * c3; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZXY + ( + T const & t1, + T const & t2, + T const & t3 + ) + { + T c1 = glm::cos(t1); + T s1 = glm::sin(t1); + T c2 = glm::cos(t2); + T s2 = glm::sin(t2); + T c3 = glm::cos(t3); + T s3 = glm::sin(t3); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = c1 * c3 - s1 * s2 * s3; + Result[0][1] = c3 * s1 + c1 * s2 * s3; + Result[0][2] =-c2 * s3; + Result[0][3] = static_cast(0); + Result[1][0] =-c2 * s1; + Result[1][1] = c1 * c2; + Result[1][2] = s2; + Result[1][3] = static_cast(0); + Result[2][0] = c1 * s3 + c3 * s1 * s2; + Result[2][1] = s1 * s3 - c1 * c3 * s2; + Result[2][2] = c2 * c3; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> yawPitchRoll + ( + T const& yaw, + T const& pitch, + T const& roll + ) + { + T tmp_ch = glm::cos(yaw); + T tmp_sh = glm::sin(yaw); + T tmp_cp = glm::cos(pitch); + T tmp_sp = glm::sin(pitch); + T tmp_cb = glm::cos(roll); + T tmp_sb = glm::sin(roll); + + mat<4, 4, T, defaultp> Result; + Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb; + Result[0][1] = tmp_sb * tmp_cp; + Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb; + Result[0][3] = static_cast(0); + Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb; + Result[1][1] = tmp_cb * tmp_cp; + Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb; + Result[1][3] = static_cast(0); + Result[2][0] = tmp_sh * tmp_cp; + Result[2][1] = -tmp_sp; + Result[2][2] = tmp_ch * tmp_cp; + Result[2][3] = static_cast(0); + Result[3][0] = static_cast(0); + Result[3][1] = static_cast(0); + Result[3][2] = static_cast(0); + Result[3][3] = static_cast(1); + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<2, 2, T, defaultp> orientate2 + ( + T const& angle + ) + { + T c = glm::cos(angle); + T s = glm::sin(angle); + + mat<2, 2, T, defaultp> Result; + Result[0][0] = c; + Result[0][1] = s; + Result[1][0] = -s; + Result[1][1] = c; + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<3, 3, T, defaultp> orientate3 + ( + T const& angle + ) + { + T c = glm::cos(angle); + T s = glm::sin(angle); + + mat<3, 3, T, defaultp> Result; + Result[0][0] = c; + Result[0][1] = s; + Result[0][2] = 0.0f; + Result[1][0] = -s; + Result[1][1] = c; + Result[1][2] = 0.0f; + Result[2][0] = 0.0f; + Result[2][1] = 0.0f; + Result[2][2] = 1.0f; + return Result; + } + + template + GLM_FUNC_QUALIFIER mat<3, 3, T, Q> orientate3 + ( + vec<3, T, Q> const& angles + ) + { + return mat<3, 3, T, Q>(yawPitchRoll(angles.z, angles.x, angles.y)); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, Q> orientate4 + ( + vec<3, T, Q> const& angles + ) + { + return yawPitchRoll(angles.z, angles.x, angles.y); + } + + template + GLM_FUNC_DECL void extractEulerAngleXYZ(mat<4, 4, T, defaultp> const& M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(M[2][1], M[2][2]); + T C2 = glm::sqrt(M[0][0]*M[0][0] + M[1][0]*M[1][0]); + T T2 = glm::atan2(-M[2][0], C2); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(S1*M[0][2] - C1*M[0][1], C1*M[1][1] - S1*M[1][2 ]); + t1 = -T1; + t2 = -T2; + t3 = -T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleYXZ(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(M[2][0], M[2][2]); + T C2 = glm::sqrt(M[0][1]*M[0][1] + M[1][1]*M[1][1]); + T T2 = glm::atan2(-M[2][1], C2); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(S1*M[1][2] - C1*M[1][0], C1*M[0][0] - S1*M[0][2]); + t1 = T1; + t2 = T2; + t3 = T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleXZX(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(M[0][2], M[0][1]); + T S2 = glm::sqrt(M[1][0]*M[1][0] + M[2][0]*M[2][0]); + T T2 = glm::atan2(S2, M[0][0]); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(C1*M[1][2] - S1*M[1][1], C1*M[2][2] - S1*M[2][1]); + t1 = T1; + t2 = T2; + t3 = T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleXYX(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(M[0][1], -M[0][2]); + T S2 = glm::sqrt(M[1][0]*M[1][0] + M[2][0]*M[2][0]); + T T2 = glm::atan2(S2, M[0][0]); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(-C1*M[2][1] - S1*M[2][2], C1*M[1][1] + S1*M[1][2]); + t1 = T1; + t2 = T2; + t3 = T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleYXY(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(M[1][0], M[1][2]); + T S2 = glm::sqrt(M[0][1]*M[0][1] + M[2][1]*M[2][1]); + T T2 = glm::atan2(S2, M[1][1]); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(C1*M[2][0] - S1*M[2][2], C1*M[0][0] - S1*M[0][2]); + t1 = T1; + t2 = T2; + t3 = T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleYZY(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(M[1][2], -M[1][0]); + T S2 = glm::sqrt(M[0][1]*M[0][1] + M[2][1]*M[2][1]); + T T2 = glm::atan2(S2, M[1][1]); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(-S1*M[0][0] - C1*M[0][2], S1*M[2][0] + C1*M[2][2]); + t1 = T1; + t2 = T2; + t3 = T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleZYZ(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(M[2][1], M[2][0]); + T S2 = glm::sqrt(M[0][2]*M[0][2] + M[1][2]*M[1][2]); + T T2 = glm::atan2(S2, M[2][2]); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(C1*M[0][1] - S1*M[0][0], C1*M[1][1] - S1*M[1][0]); + t1 = T1; + t2 = T2; + t3 = T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleZXZ(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(M[2][0], -M[2][1]); + T S2 = glm::sqrt(M[0][2]*M[0][2] + M[1][2]*M[1][2]); + T T2 = glm::atan2(S2, M[2][2]); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(-C1*M[1][0] - S1*M[1][1], C1*M[0][0] + S1*M[0][1]); + t1 = T1; + t2 = T2; + t3 = T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleXZY(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(M[1][2], M[1][1]); + T C2 = glm::sqrt(M[0][0]*M[0][0] + M[2][0]*M[2][0]); + T T2 = glm::atan2(-M[1][0], C2); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(S1*M[0][1] - C1*M[0][2], C1*M[2][2] - S1*M[2][1]); + t1 = T1; + t2 = T2; + t3 = T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleYZX(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(-M[0][2], M[0][0]); + T C2 = glm::sqrt(M[1][1]*M[1][1] + M[2][1]*M[2][1]); + T T2 = glm::atan2(M[0][1], C2); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(S1*M[1][0] + C1*M[1][2], S1*M[2][0] + C1*M[2][2]); + t1 = T1; + t2 = T2; + t3 = T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleZYX(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(M[0][1], M[0][0]); + T C2 = glm::sqrt(M[1][2]*M[1][2] + M[2][2]*M[2][2]); + T T2 = glm::atan2(-M[0][2], C2); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(S1*M[2][0] - C1*M[2][1], C1*M[1][1] - S1*M[1][0]); + t1 = T1; + t2 = T2; + t3 = T3; + } + + template + GLM_FUNC_QUALIFIER void extractEulerAngleZXY(mat<4, 4, T, defaultp> const & M, + T & t1, + T & t2, + T & t3) + { + T T1 = glm::atan2(-M[1][0], M[1][1]); + T C2 = glm::sqrt(M[0][2]*M[0][2] + M[2][2]*M[2][2]); + T T2 = glm::atan2(M[1][2], C2); + T S1 = glm::sin(T1); + T C1 = glm::cos(T1); + T T3 = glm::atan2(C1*M[2][0] + S1*M[2][1], C1*M[0][0] + S1*M[0][1]); + t1 = T1; + t2 = T2; + t3 = T3; + } +}//namespace glm -- cgit v1.2.3-18-g5258