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312 lines
8.2 KiB
312 lines
8.2 KiB
/////////////////////////////////////////////////////////////////////////////////// |
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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, precision P> |
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GLM_FUNC_QUALIFIER T length(detail::tvec2<T, P> const & v) |
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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, P>::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, precision P> |
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GLM_FUNC_QUALIFIER T length(detail::tvec3<T, P> const & v) |
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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, P>::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, precision P> |
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GLM_FUNC_QUALIFIER T length(detail::tvec4<T, P> const & v) |
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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, P>::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, precision P> |
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GLM_FUNC_QUALIFIER typename detail::tvec2<T, P>::value_type distance |
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( |
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detail::tvec2<T, P> const & p0, |
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detail::tvec2<T, P> 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, precision P> |
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GLM_FUNC_QUALIFIER typename detail::tvec3<T, P>::value_type distance |
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( |
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detail::tvec3<T, P> const & p0, |
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detail::tvec3<T, P> 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, precision P> |
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GLM_FUNC_QUALIFIER typename detail::tvec4<T, P>::value_type distance |
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( |
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detail::tvec4<T, P> const & p0, |
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detail::tvec4<T, P> 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, precision P> |
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GLM_FUNC_QUALIFIER typename detail::tvec2<T, P>::value_type dot |
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( |
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detail::tvec2<T, P> const & x, |
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detail::tvec2<T, P> 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, precision P> |
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GLM_FUNC_QUALIFIER T dot |
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( |
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detail::tvec3<T, P> const & x, |
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detail::tvec3<T, P> 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, precision P> |
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GLM_FUNC_QUALIFIER T dot |
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( |
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detail::tvec4<T, P> const & x, |
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detail::tvec4<T, P> 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, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec3<T, P> cross |
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( |
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detail::tvec3<T, P> const & x, |
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detail::tvec3<T, P> 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, P>( |
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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, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec2<T, P> normalize |
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( |
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detail::tvec2<T, P> 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, P>::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, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec3<T, P> normalize |
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( |
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detail::tvec3<T, P> 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, P>::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, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec4<T, P> normalize |
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( |
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detail::tvec4<T, P> 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, P>::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::T 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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