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https://github.com/JoeyDeVries/LearnOpenGL.git
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Initial commit, all code samples with working CMake script for VS/Windows.
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Joey de Vries
321
includes/glm/core/func_geometric.inl
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321
includes/glm/core/func_geometric.inl
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///////////////////////////////////////////////////////////////////////////////////
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/// OpenGL Mathematics (glm.g-truc.net)
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///
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/// Copyright (c) 2005 - 2013 G-Truc Creation (www.g-truc.net)
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/// Permission is hereby granted, free of charge, to any person obtaining a copy
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/// of this software and associated documentation files (the "Software"), to deal
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/// in the Software without restriction, including without limitation the rights
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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/// copies of the Software, and to permit persons to whom the Software is
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/// furnished to do so, subject to the following conditions:
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///
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/// The above copyright notice and this permission notice shall be included in
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/// all copies or substantial portions of the Software.
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///
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/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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/// THE SOFTWARE.
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///
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/// @ref core
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/// @file glm/core/func_geometric.inl
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/// @date 2008-08-03 / 2011-06-15
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/// @author Christophe Riccio
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///////////////////////////////////////////////////////////////////////////////////
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namespace glm
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{
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// length
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template <typename genType>
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GLM_FUNC_QUALIFIER genType length
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(
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genType const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'length' only accept floating-point inputs");
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genType sqr = x * x;
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return sqrt(sqr);
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}
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template <typename T>
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GLM_FUNC_QUALIFIER typename detail::tvec2<T>::value_type length
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(
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detail::tvec2<T> const & v
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'length' only accept floating-point inputs");
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typename detail::tvec2<T>::value_type sqr = v.x * v.x + v.y * v.y;
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return sqrt(sqr);
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}
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template <typename T>
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GLM_FUNC_QUALIFIER typename detail::tvec3<T>::value_type length
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(
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detail::tvec3<T> const & v
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'length' only accept floating-point inputs");
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typename detail::tvec3<T>::value_type sqr = v.x * v.x + v.y * v.y + v.z * v.z;
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return sqrt(sqr);
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}
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template <typename T>
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GLM_FUNC_QUALIFIER typename detail::tvec4<T>::value_type length
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(
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detail::tvec4<T> const & v
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'length' only accept floating-point inputs");
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typename detail::tvec4<T>::value_type sqr = v.x * v.x + v.y * v.y + v.z * v.z + v.w * v.w;
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return sqrt(sqr);
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}
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// distance
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template <typename genType>
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GLM_FUNC_QUALIFIER genType distance
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(
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genType const & p0,
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genType const & p1
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)
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{
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'distance' only accept floating-point inputs");
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return length(p1 - p0);
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}
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template <typename T>
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GLM_FUNC_QUALIFIER typename detail::tvec2<T>::value_type distance
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(
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detail::tvec2<T> const & p0,
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detail::tvec2<T> const & p1
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'distance' only accept floating-point inputs");
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return length(p1 - p0);
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}
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template <typename T>
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GLM_FUNC_QUALIFIER typename detail::tvec3<T>::value_type distance
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(
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detail::tvec3<T> const & p0,
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detail::tvec3<T> const & p1
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'distance' only accept floating-point inputs");
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return length(p1 - p0);
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}
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template <typename T>
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GLM_FUNC_QUALIFIER typename detail::tvec4<T>::value_type distance
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(
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detail::tvec4<T> const & p0,
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detail::tvec4<T> const & p1
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'distance' only accept floating-point inputs");
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return length(p1 - p0);
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}
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// dot
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template <typename genType>
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GLM_FUNC_QUALIFIER genType dot
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(
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genType const & x,
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genType const & y
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)
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{
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'dot' only accept floating-point inputs");
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return x * y;
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}
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template <typename T>
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GLM_FUNC_QUALIFIER typename detail::tvec2<T>::value_type dot
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(
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detail::tvec2<T> const & x,
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detail::tvec2<T> const & y
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'dot' only accept floating-point inputs");
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return x.x * y.x + x.y * y.y;
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}
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template <typename T>
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GLM_FUNC_QUALIFIER T dot
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(
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detail::tvec3<T> const & x,
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detail::tvec3<T> const & y
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'dot' only accept floating-point inputs");
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return x.x * y.x + x.y * y.y + x.z * y.z;
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}
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/* // SSE3
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GLM_FUNC_QUALIFIER float dot(const tvec4<float>& x, const tvec4<float>& y)
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{
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float Result;
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__asm
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{
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mov esi, x
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mov edi, y
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movaps xmm0, [esi]
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mulps xmm0, [edi]
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haddps( _xmm0, _xmm0 )
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haddps( _xmm0, _xmm0 )
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movss Result, xmm0
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}
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return Result;
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}
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*/
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template <typename T>
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GLM_FUNC_QUALIFIER T dot
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(
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detail::tvec4<T> const & x,
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detail::tvec4<T> const & y
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'dot' only accept floating-point inputs");
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return x.x * y.x + x.y * y.y + x.z * y.z + x.w * y.w;
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}
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// cross
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template <typename T>
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GLM_FUNC_QUALIFIER detail::tvec3<T> cross
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(
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detail::tvec3<T> const & x,
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detail::tvec3<T> const & y
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'cross' only accept floating-point inputs");
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return detail::tvec3<T>(
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x.y * y.z - y.y * x.z,
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x.z * y.x - y.z * x.x,
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x.x * y.y - y.x * x.y);
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}
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// normalize
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template <typename genType>
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GLM_FUNC_QUALIFIER genType normalize
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(
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genType const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'normalize' only accept floating-point inputs");
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return x < genType(0) ? genType(-1) : genType(1);
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}
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// According to issue 10 GLSL 1.10 specification, if length(x) == 0 then result is undefine and generate an error
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template <typename T>
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GLM_FUNC_QUALIFIER detail::tvec2<T> normalize
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(
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detail::tvec2<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'normalize' only accept floating-point inputs");
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typename detail::tvec2<T>::value_type sqr = x.x * x.x + x.y * x.y;
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return x * inversesqrt(sqr);
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}
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template <typename T>
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GLM_FUNC_QUALIFIER detail::tvec3<T> normalize
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(
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detail::tvec3<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'normalize' only accept floating-point inputs");
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typename detail::tvec3<T>::value_type sqr = x.x * x.x + x.y * x.y + x.z * x.z;
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return x * inversesqrt(sqr);
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}
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template <typename T>
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GLM_FUNC_QUALIFIER detail::tvec4<T> normalize
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(
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detail::tvec4<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'normalize' only accept floating-point inputs");
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typename detail::tvec4<T>::value_type sqr = x.x * x.x + x.y * x.y + x.z * x.z + x.w * x.w;
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return x * inversesqrt(sqr);
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}
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// faceforward
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template <typename genType>
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GLM_FUNC_QUALIFIER genType faceforward
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(
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genType const & N,
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genType const & I,
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genType const & Nref
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)
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{
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return dot(Nref, I) < 0 ? N : -N;
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}
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// reflect
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template <typename genType>
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GLM_FUNC_QUALIFIER genType reflect
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(
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genType const & I,
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genType const & N
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)
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{
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return I - N * dot(N, I) * genType(2);
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}
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// refract
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template <typename genType>
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GLM_FUNC_QUALIFIER genType refract
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(
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genType const & I,
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genType const & N,
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genType const & eta
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)
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{
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//It could be a vector
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//GLM_STATIC_ASSERT(detail::type<genType>::is_float);
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genType dotValue = dot(N, I);
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genType k = genType(1) - eta * eta * (genType(1) - dotValue * dotValue);
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if(k < genType(0))
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return genType(0);
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else
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return eta * I - (eta * dotValue + sqrt(k)) * N;
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType refract
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(
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genType const & I,
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genType const & N,
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typename genType::value_type const & eta
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)
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{
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//It could be a vector
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//GLM_STATIC_ASSERT(detail::type<genType>::is_float);
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typename genType::value_type dotValue = dot(N, I);
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typename genType::value_type k = typename genType::value_type(1) - eta * eta * (typename genType::value_type(1) - dotValue * dotValue);
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if(k < typename genType::value_type(0))
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return genType(0);
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else
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return eta * I - (eta * dotValue + sqrt(k)) * N;
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}
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}//namespace glm
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