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https://github.com/JoeyDeVries/LearnOpenGL.git
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Updated GLM version w/ now standard radians as angles.
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J. de Vries
@@ -1,136 +1,110 @@
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// OpenGL Mathematics Copyright (c) 2005 - 2013 G-Truc Creation (www.g-truc.net)
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Created : 2006-01-04
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// Updated : 2011-10-14
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// Licence : This source is under MIT License
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// File : glm/gtx/fast_square_root.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 - 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
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(
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genType const & x
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)
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GLM_FUNC_QUALIFIER genType fastSqrt(genType x)
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{
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'fastSqrt' only accept floating-point input");
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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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VECTORIZE_VEC(fastSqrt)
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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
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(
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genType const & x
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)
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GLM_FUNC_QUALIFIER genType fastInverseSqrt(genType x)
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{
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genType tmp = x;
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float xhalf = 0.5f * float(tmp);
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uint i = *(uint*)&x;
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i = 0x5f375a86 - (i >> 1);
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//x = *(float*)&i;
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//x = *((float*)(char*)&i);
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tmp = detail::uif(i).f;
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tmp = tmp * (1.5f - xhalf * tmp * tmp);
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return genType(tmp);
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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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VECTORIZE_VEC(fastInverseSqrt)
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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
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(
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genType const & x
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)
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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 valType>
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GLM_FUNC_QUALIFIER valType fastLength
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(
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detail::tvec2<valType> const & 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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valType sqr = x.x * x.x + x.y * x.y;
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return fastSqrt(sqr);
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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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template <typename valType>
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GLM_FUNC_QUALIFIER valType fastLength
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(
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detail::tvec3<valType> const & x
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)
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{
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valType sqr = x.x * x.x + x.y * x.y + x.z * x.z;
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return fastSqrt(sqr);
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}
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template <typename valType>
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GLM_FUNC_QUALIFIER valType fastLength
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(
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detail::tvec4<valType> const & x
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)
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{
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valType sqr = x.x * x.x + x.y * x.y + x.z * x.z + x.w * x.w;
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return fastSqrt(sqr);
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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
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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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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
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(
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genType const & x
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)
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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 valType>
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GLM_FUNC_QUALIFIER detail::tvec2<valType> fastNormalize
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(
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detail::tvec2<valType> const & 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> fastNormalize(vecType<T, P> const & x)
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{
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valType sqr = x.x * x.x + x.y * x.y;
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return x * fastInverseSqrt(sqr);
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}
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template <typename valType>
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GLM_FUNC_QUALIFIER detail::tvec3<valType> fastNormalize
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(
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detail::tvec3<valType> const & x
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)
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{
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valType sqr = x.x * x.x + x.y * x.y + x.z * x.z;
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return x * fastInverseSqrt(sqr);
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}
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template <typename valType>
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GLM_FUNC_QUALIFIER detail::tvec4<valType> fastNormalize
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(
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detail::tvec4<valType> const & x
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)
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{
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valType sqr = x.x * x.x + x.y * x.y + x.z * x.z + x.w * x.w;
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return x * fastInverseSqrt(sqr);
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return x * fastInverseSqrt(dot(x, x));
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}
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}//namespace glm
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