Commit 6e54b394 authored by Nianchen Deng's avatar Nianchen Deng
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parent 90553bac
///////////////////////////////////////////////////////////////////////////////////
/// 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_number_precision
/// @file glm/gtx/number_precision.inl
/// @date 2007-05-10 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm
{
}
///////////////////////////////////////////////////////////////////////////////////
/// 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_optimum_pow
/// @file glm/gtx/optimum_pow.hpp
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///
/// @see core (dependence)
///
/// @defgroup gtx_optimum_pow GLM_GTX_optimum_pow
/// @ingroup gtx
///
/// @brief Integer exponentiation of power functions.
///
/// <glm/gtx/optimum_pow.hpp> need to be included to use these functionalities.
///////////////////////////////////////////////////////////////////////////////////
#pragma once
// Dependency:
#include "../glm.hpp"
#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
# pragma message("GLM: GLM_GTX_optimum_pow extension included")
#endif
namespace glm{
namespace gtx
{
/// @addtogroup gtx_optimum_pow
/// @{
/// Returns x raised to the power of 2.
///
/// @see gtx_optimum_pow
template <typename genType>
GLM_FUNC_DECL genType pow2(genType const & x);
/// Returns x raised to the power of 3.
///
/// @see gtx_optimum_pow
template <typename genType>
GLM_FUNC_DECL genType pow3(genType const & x);
/// Returns x raised to the power of 4.
///
/// @see gtx_optimum_pow
template <typename genType>
GLM_FUNC_DECL genType pow4(genType const & x);
/// @}
}//namespace gtx
}//namespace glm
#include "optimum_pow.inl"
///////////////////////////////////////////////////////////////////////////////////
/// 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_optimum_pow
/// @file glm/gtx/optimum_pow.inl
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm
{
template <typename genType>
GLM_FUNC_QUALIFIER genType pow2(genType const & x)
{
return x * x;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType pow3(genType const & x)
{
return x * x * x;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType pow4(genType const & x)
{
return (x * x) * (x * x);
}
}//namespace glm
///////////////////////////////////////////////////////////////////////////////////
/// 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_orthonormalize
/// @file glm/gtx/orthonormalize.hpp
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///
/// @see core (dependence)
/// @see gtx_extented_min_max (dependence)
///
/// @defgroup gtx_orthonormalize GLM_GTX_orthonormalize
/// @ingroup gtx
///
/// @brief Orthonormalize matrices.
///
/// <glm/gtx/orthonormalize.hpp> need to be included to use these functionalities.
///////////////////////////////////////////////////////////////////////////////////
#pragma once
// Dependency:
#include "../vec3.hpp"
#include "../mat3x3.hpp"
#include "../geometric.hpp"
#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
# pragma message("GLM: GLM_GTX_orthonormalize extension included")
#endif
namespace glm
{
/// @addtogroup gtx_orthonormalize
/// @{
/// Returns the orthonormalized matrix of m.
///
/// @see gtx_orthonormalize
template <typename T, precision P>
GLM_FUNC_DECL tmat3x3<T, P> orthonormalize(tmat3x3<T, P> const & m);
/// Orthonormalizes x according y.
///
/// @see gtx_orthonormalize
template <typename T, precision P>
GLM_FUNC_DECL tvec3<T, P> orthonormalize(tvec3<T, P> const & x, tvec3<T, P> const & y);
/// @}
}//namespace glm
#include "orthonormalize.inl"
///////////////////////////////////////////////////////////////////////////////////
/// 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_orthonormalize
/// @file glm/gtx/orthonormalize.inl
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm
{
template <typename T, precision P>
GLM_FUNC_QUALIFIER tmat3x3<T, P> orthonormalize(tmat3x3<T, P> const & m)
{
tmat3x3<T, P> r = m;
r[0] = normalize(r[0]);
T d0 = dot(r[0], r[1]);
r[1] -= r[0] * d0;
r[1] = normalize(r[1]);
T d1 = dot(r[1], r[2]);
d0 = dot(r[0], r[2]);
r[2] -= r[0] * d0 + r[1] * d1;
r[2] = normalize(r[2]);
return r;
}
template <typename T, precision P>
GLM_FUNC_QUALIFIER tvec3<T, P> orthonormalize(tvec3<T, P> const & x, tvec3<T, P> const & y)
{
return normalize(x - y * dot(y, x));
}
}//namespace glm
///////////////////////////////////////////////////////////////////////////////////
/// 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_perpendicular
/// @file glm/gtx/perpendicular.hpp
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///
/// @see core (dependence)
/// @see gtx_projection (dependence)
///
/// @defgroup gtx_perpendicular GLM_GTX_perpendicular
/// @ingroup gtx
///
/// @brief Perpendicular of a vector from other one
///
/// <glm/gtx/perpendicular.hpp> need to be included to use these functionalities.
///////////////////////////////////////////////////////////////////////////////////
#pragma once
// Dependency:
#include "../glm.hpp"
#include "../gtx/projection.hpp"
#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
# pragma message("GLM: GLM_GTX_perpendicular extension included")
#endif
namespace glm
{
/// @addtogroup gtx_perpendicular
/// @{
//! Projects x a perpendicular axis of Normal.
//! From GLM_GTX_perpendicular extension.
template <typename vecType>
GLM_FUNC_DECL vecType perp(
vecType const & x,
vecType const & Normal);
/// @}
}//namespace glm
#include "perpendicular.inl"
///////////////////////////////////////////////////////////////////////////////////
/// 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_perpendicular
/// @file glm/gtx/perpendicular.inl
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm
{
template <typename vecType>
GLM_FUNC_QUALIFIER vecType perp
(
vecType const & x,
vecType const & Normal
)
{
return x - proj(x, Normal);
}
}//namespace glm
///////////////////////////////////////////////////////////////////////////////////
/// 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_polar_coordinates
/// @file glm/gtx/polar_coordinates.hpp
/// @date 2007-03-06 / 2011-06-07
/// @author Christophe Riccio
///
/// @see core (dependence)
///
/// @defgroup gtx_polar_coordinates GLM_GTX_polar_coordinates
/// @ingroup gtx
///
/// @brief Conversion from Euclidean space to polar space and revert.
///
/// <glm/gtx/polar_coordinates.hpp> need to be included to use these functionalities.
///////////////////////////////////////////////////////////////////////////////////
#pragma once
// Dependency:
#include "../glm.hpp"
#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
# pragma message("GLM: GLM_GTX_polar_coordinates extension included")
#endif
namespace glm
{
/// @addtogroup gtx_polar_coordinates
/// @{
/// Convert Euclidean to Polar coordinates, x is the xz distance, y, the latitude and z the longitude.
///
/// @see gtx_polar_coordinates
template <typename T, precision P>
GLM_FUNC_DECL tvec3<T, P> polar(
tvec3<T, P> const & euclidean);
/// Convert Polar to Euclidean coordinates.
///
/// @see gtx_polar_coordinates
template <typename T, precision P>
GLM_FUNC_DECL tvec3<T, P> euclidean(
tvec2<T, P> const & polar);
/// @}
}//namespace glm
#include "polar_coordinates.inl"
///////////////////////////////////////////////////////////////////////////////////
/// 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_polar_coordinates
/// @file glm/gtx/polar_coordinates.inl
/// @date 2007-03-06 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm
{
template <typename T, precision P>
GLM_FUNC_QUALIFIER tvec3<T, P> polar
(
tvec3<T, P> const & euclidean
)
{
T const Length(length(euclidean));
tvec3<T, P> const tmp(euclidean / Length);
T const xz_dist(sqrt(tmp.x * tmp.x + tmp.z * tmp.z));
return tvec3<T, P>(
atan(xz_dist, tmp.y), // latitude
atan(tmp.x, tmp.z), // longitude
xz_dist); // xz distance
}
template <typename T, precision P>
GLM_FUNC_QUALIFIER tvec3<T, P> euclidean
(
tvec2<T, P> const & polar
)
{
T const latitude(polar.x);
T const longitude(polar.y);
return tvec3<T, P>(
cos(latitude) * sin(longitude),
sin(latitude),
cos(latitude) * cos(longitude));
}
}//namespace glm
///////////////////////////////////////////////////////////////////////////////////
/// 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_projection
/// @file glm/gtx/projection.hpp
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///
/// @see core (dependence)
///
/// @defgroup gtx_projection GLM_GTX_projection
/// @ingroup gtx
///
/// @brief Projection of a vector to other one
///
/// <glm/gtx/projection.hpp> need to be included to use these functionalities.
///////////////////////////////////////////////////////////////////////////////////
#pragma once
// Dependency:
#include "../geometric.hpp"
#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
# pragma message("GLM: GLM_GTX_projection extension included")
#endif
namespace glm
{
/// @addtogroup gtx_projection
/// @{
/// Projects x on Normal.
///
/// @see gtx_projection
template <typename vecType>
GLM_FUNC_DECL vecType proj(vecType const & x, vecType const & Normal);
/// @}
}//namespace glm
#include "projection.inl"
///////////////////////////////////////////////////////////////////////////////////
/// 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_projection
/// @file glm/gtx/projection.inl
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm
{
template <typename vecType>
GLM_FUNC_QUALIFIER vecType proj(vecType const & x, vecType const & Normal)
{
return glm::dot(x, Normal) / glm::dot(Normal, Normal) * Normal;
}
}//namespace glm
///////////////////////////////////////////////////////////////////////////////////
/// 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_quaternion
/// @file glm/gtx/quaternion.hpp
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///
/// @see core (dependence)
/// @see gtx_extented_min_max (dependence)
///
/// @defgroup gtx_quaternion GLM_GTX_quaternion
/// @ingroup gtx
///
/// @brief Extented quaternion types and functions
///
/// <glm/gtx/quaternion.hpp> need to be included to use these functionalities.
///////////////////////////////////////////////////////////////////////////////////
#pragma once
// Dependency:
#include "../glm.hpp"
#include "../gtc/constants.hpp"
#include "../gtc/quaternion.hpp"
#include "../gtx/norm.hpp"
#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
# pragma message("GLM: GLM_GTX_quaternion extension included")
#endif
namespace glm
{
/// @addtogroup gtx_quaternion
/// @{
//! Compute a cross product between a quaternion and a vector.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tvec3<T, P> cross(
tquat<T, P> const & q,
tvec3<T, P> const & v);
//! Compute a cross product between a vector and a quaternion.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tvec3<T, P> cross(
tvec3<T, P> const & v,
tquat<T, P> const & q);
//! Compute a point on a path according squad equation.
//! q1 and q2 are control points; s1 and s2 are intermediate control points.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tquat<T, P> squad(
tquat<T, P> const & q1,
tquat<T, P> const & q2,
tquat<T, P> const & s1,
tquat<T, P> const & s2,
T const & h);
//! Returns an intermediate control point for squad interpolation.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tquat<T, P> intermediate(
tquat<T, P> const & prev,
tquat<T, P> const & curr,
tquat<T, P> const & next);
//! Returns a exp of a quaternion.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tquat<T, P> exp(
tquat<T, P> const & q);
//! Returns a log of a quaternion.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tquat<T, P> log(
tquat<T, P> const & q);
/// Returns x raised to the y power.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tquat<T, P> pow(
tquat<T, P> const & x,
T const & y);
//! Returns quarternion square root.
///
/// @see gtx_quaternion
//template<typename T, precision P>
//tquat<T, P> sqrt(
// tquat<T, P> const & q);
//! Rotates a 3 components vector by a quaternion.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tvec3<T, P> rotate(
tquat<T, P> const & q,
tvec3<T, P> const & v);
/// Rotates a 4 components vector by a quaternion.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tvec4<T, P> rotate(
tquat<T, P> const & q,
tvec4<T, P> const & v);
/// Extract the real component of a quaternion.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL T extractRealComponent(
tquat<T, P> const & q);
/// Converts a quaternion to a 3 * 3 matrix.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tmat3x3<T, P> toMat3(
tquat<T, P> const & x){return mat3_cast(x);}
/// Converts a quaternion to a 4 * 4 matrix.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tmat4x4<T, P> toMat4(
tquat<T, P> const & x){return mat4_cast(x);}
/// Converts a 3 * 3 matrix to a quaternion.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tquat<T, P> toQuat(
tmat3x3<T, P> const & x){return quat_cast(x);}
/// Converts a 4 * 4 matrix to a quaternion.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tquat<T, P> toQuat(
tmat4x4<T, P> const & x){return quat_cast(x);}
/// Quaternion interpolation using the rotation short path.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tquat<T, P> shortMix(
tquat<T, P> const & x,
tquat<T, P> const & y,
T const & a);
/// Quaternion normalized linear interpolation.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tquat<T, P> fastMix(
tquat<T, P> const & x,
tquat<T, P> const & y,
T const & a);
/// Compute the rotation between two vectors.
/// param orig vector, needs to be normalized
/// param dest vector, needs to be normalized
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL tquat<T, P> rotation(
tvec3<T, P> const & orig,
tvec3<T, P> const & dest);
/// Returns the squared length of x.
///
/// @see gtx_quaternion
template<typename T, precision P>
GLM_FUNC_DECL T length2(tquat<T, P> const & q);
/// @}
}//namespace glm
#include "quaternion.inl"
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