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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 core
+/// @file glm/detail/func_exponential.inl
+/// @date 2008-08-03 / 2011-06-15
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+#include "func_vector_relational.hpp"
+#include "_vectorize.hpp"
+#include <limits>
+#include <cmath>
+#include <cassert>
+
+namespace glm{
+namespace detail
+{
+# if GLM_HAS_CXX11_STL
+ using std::log2;
+# else
+ template <typename genType>
+ genType log2(genType Value)
+ {
+ return std::log(Value) * static_cast<genType>(1.4426950408889634073599246810019);
+ }
+# endif
+
+ template <typename T, precision P, template <class, precision> class vecType, bool isFloat = true>
+ struct compute_log2
+ {
+ GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & vec)
+ {
+ return detail::functor1<T, T, P, vecType>::call(log2, vec);
+ }
+ };
+
+ template <template <class, precision> class vecType, typename T, precision P>
+ struct compute_inversesqrt
+ {
+ GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x)
+ {
+ return static_cast<T>(1) / sqrt(x);
+ }
+ };
+
+ template <template <class, precision> class vecType>
+ struct compute_inversesqrt<vecType, float, lowp>
+ {
+ GLM_FUNC_QUALIFIER static vecType<float, lowp> call(vecType<float, lowp> const & x)
+ {
+ vecType<float, lowp> tmp(x);
+ vecType<float, lowp> xhalf(tmp * 0.5f);
+ vecType<uint, lowp>* p = reinterpret_cast<vecType<uint, lowp>*>(const_cast<vecType<float, lowp>*>(&x));
+ vecType<uint, lowp> i = vecType<uint, lowp>(0x5f375a86) - (*p >> vecType<uint, lowp>(1));
+ vecType<float, lowp>* ptmp = reinterpret_cast<vecType<float, lowp>*>(&i);
+ tmp = *ptmp;
+ tmp = tmp * (1.5f - xhalf * tmp * tmp);
+ return tmp;
+ }
+ };
+}//namespace detail
+
+ // pow
+ using std::pow;
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> pow(vecType<T, P> const & base, vecType<T, P> const & exponent)
+ {
+ return detail::functor2<T, P, vecType>::call(pow, base, exponent);
+ }
+
+ // exp
+ using std::exp;
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> exp(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(exp, x);
+ }
+
+ // log
+ using std::log;
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> log(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(log, x);
+ }
+
+ //exp2, ln2 = 0.69314718055994530941723212145818f
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType exp2(genType x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'exp2' only accept floating-point inputs");
+
+ return std::exp(static_cast<genType>(0.69314718055994530941723212145818) * x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> exp2(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(exp2, x);
+ }
+
+ // log2, ln2 = 0.69314718055994530941723212145818f
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType log2(genType x)
+ {
+ return log2(tvec1<genType>(x)).x;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> log2(vecType<T, P> const & x)
+ {
+ return detail::compute_log2<T, P, vecType, std::numeric_limits<T>::is_iec559>::call(x);
+ }
+
+ // sqrt
+ using std::sqrt;
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> sqrt(vecType<T, P> const & x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'sqrt' only accept floating-point inputs");
+ return detail::functor1<T, T, P, vecType>::call(sqrt, x);
+ }
+
+ // inversesqrt
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType inversesqrt(genType x)
+ {
+ return static_cast<genType>(1) / sqrt(x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> inversesqrt(vecType<T, P> const & x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'inversesqrt' only accept floating-point inputs");
+ return detail::compute_inversesqrt<vecType, T, P>::call(x);
+ }
+}//namespace glm