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+///////////////////////////////////////////////////////////////////////////////////
+/// 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_fast_square_root
+/// @file glm/gtx/fast_square_root.inl
+/// @date 2006-01-04 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+ // fastSqrt
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastSqrt(genType x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'fastSqrt' only accept floating-point input");
+
+ return genType(1) / fastInverseSqrt(x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastSqrt(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastSqrt, x);
+ }
+
+ // fastInversesqrt
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastInverseSqrt(genType x)
+ {
+# ifdef __CUDACC__ // Wordaround for a CUDA compiler bug up to CUDA6
+ tvec1<T, P> tmp(detail::compute_inversesqrt<tvec1, genType, lowp>::call(tvec1<genType, lowp>(x)));
+ return tmp.x;
+# else
+ return detail::compute_inversesqrt<tvec1, genType, lowp>::call(tvec1<genType, lowp>(x)).x;
+# endif
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastInverseSqrt(vecType<T, P> const & x)
+ {
+ return detail::compute_inversesqrt<vecType, T, P>::call(x);
+ }
+
+ // fastLength
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastLength(genType x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'fastLength' only accept floating-point inputs");
+
+ return abs(x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T fastLength(vecType<T, P> const & x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'fastLength' only accept floating-point inputs");
+
+ return fastSqrt(dot(x, x));
+ }
+
+ // fastDistance
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastDistance(genType x, genType y)
+ {
+ return fastLength(y - x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T fastDistance(vecType<T, P> const & x, vecType<T, P> const & y)
+ {
+ return fastLength(y - x);
+ }
+
+ // fastNormalize
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastNormalize(genType x)
+ {
+ return x > genType(0) ? genType(1) : -genType(1);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastNormalize(vecType<T, P> const & x)
+ {
+ return x * fastInverseSqrt(dot(x, x));
+ }
+}//namespace glm