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+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+///
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+///
+/// Restrictions:
+/// By making use of the Software for military purposes, you choose to make
+/// a Bunny unhappy.
+///
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_euler_angles
+/// @file glm/gtx/euler_angles.inl
+/// @date 2005-12-21 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleX
+ (
+ T const & angleX
+ )
+ {
+ T cosX = glm::cos(angleX);
+ T sinX = glm::sin(angleX);
+
+ return tmat4x4<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 <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleY
+ (
+ T const & angleY
+ )
+ {
+ T cosY = glm::cos(angleY);
+ T sinY = glm::sin(angleY);
+
+ return tmat4x4<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 <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZ
+ (
+ T const & angleZ
+ )
+ {
+ T cosZ = glm::cos(angleZ);
+ T sinZ = glm::sin(angleZ);
+
+ return tmat4x4<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 <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<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 tmat4x4<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 <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<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 tmat4x4<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 <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleXZ
+ (
+ T const & angleX,
+ T const & angleZ
+ )
+ {
+ return eulerAngleX(angleX) * eulerAngleZ(angleZ);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZX
+ (
+ T const & angleZ,
+ T const & angleX
+ )
+ {
+ return eulerAngleZ(angleZ) * eulerAngleX(angleX);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleYZ
+ (
+ T const & angleY,
+ T const & angleZ
+ )
+ {
+ return eulerAngleY(angleY) * eulerAngleZ(angleZ);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZY
+ (
+ T const & angleZ,
+ T const & angleY
+ )
+ {
+ return eulerAngleZ(angleZ) * eulerAngleY(angleY);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<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);
+
+ tmat4x4<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<T>(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<T>(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<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<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);
+
+ tmat4x4<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<T>(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<T>(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<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat2x2<T, defaultp> orientate2
+ (
+ T const & angle
+ )
+ {
+ T c = glm::cos(angle);
+ T s = glm::sin(angle);
+
+ tmat2x2<T, defaultp> Result;
+ Result[0][0] = c;
+ Result[0][1] = s;
+ Result[1][0] = -s;
+ Result[1][1] = c;
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T, defaultp> orientate3
+ (
+ T const & angle
+ )
+ {
+ T c = glm::cos(angle);
+ T s = glm::sin(angle);
+
+ tmat3x3<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 <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> orientate3
+ (
+ tvec3<T, P> const & angles
+ )
+ {
+ return tmat3x3<T, P>(yawPitchRoll(angles.z, angles.x, angles.y));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> orientate4
+ (
+ tvec3<T, P> const & angles
+ )
+ {
+ return yawPitchRoll(angles.z, angles.x, angles.y);
+ }
+}//namespace glm
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