ACE3/extensions/common/glm/gtx/euler_angles.inl

288 lines
7.4 KiB
C++

///////////////////////////////////////////////////////////////////////////////////
/// 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