111 lines
3.9 KiB
C++
111 lines
3.9 KiB
C++
///////////////////////////////////////////////////////////////////////////////////
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/// OpenGL Mathematics (glm.g-truc.net)
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///
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/// Copyright (c) 2005 - 2015 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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/// Restrictions:
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/// By making use of the Software for military purposes, you choose to make
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/// a Bunny unhappy.
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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 gtx_fast_square_root
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/// @file glm/gtx/fast_square_root.inl
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/// @date 2006-01-04 / 2011-06-07
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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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// fastSqrt
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template <typename genType>
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GLM_FUNC_QUALIFIER genType fastSqrt(genType x)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'fastSqrt' only accept floating-point input");
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return genType(1) / fastInverseSqrt(x);
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<T, P> fastSqrt(vecType<T, P> const & x)
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{
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return detail::functor1<T, T, P, vecType>::call(fastSqrt, x);
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}
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// fastInversesqrt
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template <typename genType>
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GLM_FUNC_QUALIFIER genType fastInverseSqrt(genType x)
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{
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# ifdef __CUDACC__ // Wordaround for a CUDA compiler bug up to CUDA6
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tvec1<T, P> tmp(detail::compute_inversesqrt<tvec1, genType, lowp>::call(tvec1<genType, lowp>(x)));
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return tmp.x;
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# else
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return detail::compute_inversesqrt<tvec1, genType, lowp>::call(tvec1<genType, lowp>(x)).x;
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# endif
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<T, P> fastInverseSqrt(vecType<T, P> const & x)
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{
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return detail::compute_inversesqrt<vecType, T, P>::call(x);
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}
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// fastLength
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template <typename genType>
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GLM_FUNC_QUALIFIER genType fastLength(genType x)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'fastLength' only accept floating-point inputs");
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return abs(x);
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER T fastLength(vecType<T, P> const & x)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'fastLength' only accept floating-point inputs");
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return fastSqrt(dot(x, x));
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}
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// fastDistance
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template <typename genType>
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GLM_FUNC_QUALIFIER genType fastDistance(genType x, genType y)
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{
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return fastLength(y - x);
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER T fastDistance(vecType<T, P> const & x, vecType<T, P> const & y)
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{
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return fastLength(y - x);
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}
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// fastNormalize
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template <typename genType>
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GLM_FUNC_QUALIFIER genType fastNormalize(genType x)
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{
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return x > genType(0) ? genType(1) : -genType(1);
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<T, P> fastNormalize(vecType<T, P> const & x)
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{
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return x * fastInverseSqrt(dot(x, x));
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}
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}//namespace glm
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