sources/third_party/vulkan/src/libs/glm/detail/func_exponential.inl - toolchain/prebuilts/ndk/r13 - Git at Google

 ///////////////////////////////////////////////////////////////////////////////////
 /// OpenGL Mathematics (glm.g-truc.net)
 ///
 /// Copyright (c) 2005 - 2014 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.
 ///
 /// 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/core/func_exponential.inl
 /// @date 2008-08-03 / 2011-06-15
 /// @author Christophe Riccio
 ///////////////////////////////////////////////////////////////////////////////////

 #include "func_vector_relational.hpp"
 #include "_vectorize.hpp"
 #include <limits>
 #include <cassert>

 namespace glm{
 namespace detail
 {
 	template <bool isFloat>
 	struct compute_log2
 	{
 		template <typename T>
 		T operator() (T const & Value) const;
 	};

 	template <>
 	struct compute_log2<true>
 	{
 		template <typename T>
 		GLM_FUNC_QUALIFIER T operator() (T const & Value) const
 		{
 			return static_cast<T>(::std::log(Value)) * static_cast<T>(1.4426950408889634073599246810019);
 		}
 	};

 	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
 	template <typename genType>
 	GLM_FUNC_QUALIFIER genType pow
 	(
 		genType const & x,
 		genType const & y
 	)
 	{
 		GLM_STATIC_ASSERT(
 			std::numeric_limits<genType>::is_iec559,
 			"'pow' only accept floating-point inputs");

 		return std::pow(x, y);
 	}

 	VECTORIZE_VEC_VEC(pow)

 	// exp
 	template <typename genType>
 	GLM_FUNC_QUALIFIER genType exp
 	(
 		genType const & x
 	)
 	{
 		GLM_STATIC_ASSERT(
 			std::numeric_limits<genType>::is_iec559,
 			"'exp' only accept floating-point inputs");

 		return std::exp(x);
 	}

 	VECTORIZE_VEC(exp)

 	// log
 	template <typename genType>
 	GLM_FUNC_QUALIFIER genType log
 	(
 		genType const & x
 	)
 	{
 		GLM_STATIC_ASSERT(
 			std::numeric_limits<genType>::is_iec559,
 			"'log' only accept floating-point inputs");

 		return std::log(x);
 	}

 	VECTORIZE_VEC(log)

 	//exp2, ln2 = 0.69314718055994530941723212145818f
 	template <typename genType>
 	GLM_FUNC_QUALIFIER genType exp2(genType const & 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);
 	}

 	VECTORIZE_VEC(exp2)

 	// log2, ln2 = 0.69314718055994530941723212145818f
 	template <typename genType>
 	GLM_FUNC_QUALIFIER genType log2(genType x)
 	{
 		GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559 || std::numeric_limits<genType>::is_integer,
 			"GLM core 'log2' only accept floating-point inputs. Include <glm/gtx/integer.hpp> for additional integer support.");

 		assert(x > genType(0)); // log2 is only defined on the range (0, inf]
 		return detail::compute_log2<std::numeric_limits<genType>::is_iec559>()(x);
 	}

 	VECTORIZE_VEC(log2)

 	namespace detail
 	{
 		template <template <class, precision> class vecType, typename T, precision P>
 		struct compute_sqrt{};

 		template <typename T, precision P>
 		struct compute_sqrt<detail::tvec1, T, P>
 		{
 			GLM_FUNC_QUALIFIER static detail::tvec1<T, P> call(detail::tvec1<T, P> const & x)
 			{
 				return detail::tvec1<T, P>(std::sqrt(x.x));
 			}
 		};

 		template <typename T, precision P>
 		struct compute_sqrt<detail::tvec2, T, P>
 		{
 			GLM_FUNC_QUALIFIER static detail::tvec2<T, P> call(detail::tvec2<T, P> const & x)
 			{
 				return detail::tvec2<T, P>(std::sqrt(x.x), std::sqrt(x.y));
 			}
 		};

 		template <typename T, precision P>
 		struct compute_sqrt<detail::tvec3, T, P>
 		{
 			GLM_FUNC_QUALIFIER static detail::tvec3<T, P> call(detail::tvec3<T, P> const & x)
 			{
 				return detail::tvec3<T, P>(std::sqrt(x.x), std::sqrt(x.y), std::sqrt(x.z));
 			}
 		};

 		template <typename T, precision P>
 		struct compute_sqrt<detail::tvec4, T, P>
 		{
 			GLM_FUNC_QUALIFIER static detail::tvec4<T, P> call(detail::tvec4<T, P> const & x)
 			{
 				return detail::tvec4<T, P>(std::sqrt(x.x), std::sqrt(x.y), std::sqrt(x.z), std::sqrt(x.w));
 			}
 		};
 	}//namespace detail

 	// sqrt
 	GLM_FUNC_QUALIFIER float sqrt(float x)
 	{
 #		ifdef __CUDACC__ // Wordaround for a CUDA compiler bug up to CUDA6
 			detail::tvec1<float, highp> tmp(detail::compute_sqrt<detail::tvec1, float, highp>::call(x));
 			return tmp.x;
 #		else
 			return detail::compute_sqrt<detail::tvec1, float, highp>::call(x).x;
 #		endif
 	}

 	GLM_FUNC_QUALIFIER double sqrt(double x)
 	{
 #		ifdef __CUDACC__ // Wordaround for a CUDA compiler bug up to CUDA6
 			detail::tvec1<double, highp> tmp(detail::compute_sqrt<detail::tvec1, double, highp>::call(x));
 			return tmp.x;
 #		else
 			return detail::compute_sqrt<detail::tvec1, double, highp>::call(x).x;
 #		endif
 	}

 	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::compute_sqrt<vecType, T, P>::call(x);
 	}

 	// inversesqrt
 	GLM_FUNC_QUALIFIER float inversesqrt(float const & x)
 	{
 		return 1.0f / sqrt(x);
 	}

 	GLM_FUNC_QUALIFIER double inversesqrt(double const & x)
 	{
 		return 1.0 / sqrt(x);
 	}

 	template <template <class, precision> class vecType, typename T, precision P>
 	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);
 	}

 	VECTORIZE_VEC(inversesqrt)
 }//namespace glm
	///////////////////////////////////////////////////////////////////////////////////
	/// OpenGL Mathematics (glm.g-truc.net)
	///
	/// Copyright (c) 2005 - 2014 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.
	///
	/// 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/core/func_exponential.inl
	/// @date 2008-08-03 / 2011-06-15
	/// @author Christophe Riccio
	///////////////////////////////////////////////////////////////////////////////////

	#include "func_vector_relational.hpp"
	#include "_vectorize.hpp"
	#include <limits>
	#include <cassert>

	namespace glm{
	namespace detail
	{
	template <bool isFloat>
	struct compute_log2
	{
	template <typename T>
	T operator() (T const & Value) const;
	};

	template <>
	struct compute_log2<true>
	{
	template <typename T>
	GLM_FUNC_QUALIFIER T operator() (T const & Value) const
	{
	return static_cast<T>(::std::log(Value)) * static_cast<T>(1.4426950408889634073599246810019);
	}
	};

	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
	template <typename genType>
	GLM_FUNC_QUALIFIER genType pow
	(
	genType const & x,
	genType const & y
	)
	{
	GLM_STATIC_ASSERT(
	std::numeric_limits<genType>::is_iec559,
	"'pow' only accept floating-point inputs");

	return std::pow(x, y);
	}

	VECTORIZE_VEC_VEC(pow)

	// exp
	template <typename genType>
	GLM_FUNC_QUALIFIER genType exp
	(
	genType const & x
	)
	{
	GLM_STATIC_ASSERT(
	std::numeric_limits<genType>::is_iec559,
	"'exp' only accept floating-point inputs");

	return std::exp(x);
	}

	VECTORIZE_VEC(exp)

	// log
	template <typename genType>
	GLM_FUNC_QUALIFIER genType log
	(
	genType const & x
	)
	{
	GLM_STATIC_ASSERT(
	std::numeric_limits<genType>::is_iec559,
	"'log' only accept floating-point inputs");

	return std::log(x);
	}

	VECTORIZE_VEC(log)

	//exp2, ln2 = 0.69314718055994530941723212145818f
	template <typename genType>
	GLM_FUNC_QUALIFIER genType exp2(genType const & 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);
	}

	VECTORIZE_VEC(exp2)

	// log2, ln2 = 0.69314718055994530941723212145818f
	template <typename genType>
	GLM_FUNC_QUALIFIER genType log2(genType x)
	{
	GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559 \|\| std::numeric_limits<genType>::is_integer,
	"GLM core 'log2' only accept floating-point inputs. Include <glm/gtx/integer.hpp> for additional integer support.");

	assert(x > genType(0)); // log2 is only defined on the range (0, inf]
	return detail::compute_log2<std::numeric_limits<genType>::is_iec559>()(x);
	}

	VECTORIZE_VEC(log2)

	namespace detail
	{
	template <template <class, precision> class vecType, typename T, precision P>
	struct compute_sqrt{};

	template <typename T, precision P>
	struct compute_sqrt<detail::tvec1, T, P>
	{
	GLM_FUNC_QUALIFIER static detail::tvec1<T, P> call(detail::tvec1<T, P> const & x)
	{
	return detail::tvec1<T, P>(std::sqrt(x.x));
	}
	};

	template <typename T, precision P>
	struct compute_sqrt<detail::tvec2, T, P>
	{
	GLM_FUNC_QUALIFIER static detail::tvec2<T, P> call(detail::tvec2<T, P> const & x)
	{
	return detail::tvec2<T, P>(std::sqrt(x.x), std::sqrt(x.y));
	}
	};

	template <typename T, precision P>
	struct compute_sqrt<detail::tvec3, T, P>
	{
	GLM_FUNC_QUALIFIER static detail::tvec3<T, P> call(detail::tvec3<T, P> const & x)
	{
	return detail::tvec3<T, P>(std::sqrt(x.x), std::sqrt(x.y), std::sqrt(x.z));
	}
	};

	template <typename T, precision P>
	struct compute_sqrt<detail::tvec4, T, P>
	{
	GLM_FUNC_QUALIFIER static detail::tvec4<T, P> call(detail::tvec4<T, P> const & x)
	{
	return detail::tvec4<T, P>(std::sqrt(x.x), std::sqrt(x.y), std::sqrt(x.z), std::sqrt(x.w));
	}
	};
	}//namespace detail

	// sqrt
	GLM_FUNC_QUALIFIER float sqrt(float x)
	{
	# ifdef __CUDACC__ // Wordaround for a CUDA compiler bug up to CUDA6
	detail::tvec1<float, highp> tmp(detail::compute_sqrt<detail::tvec1, float, highp>::call(x));
	return tmp.x;
	# else
	return detail::compute_sqrt<detail::tvec1, float, highp>::call(x).x;
	# endif
	}

	GLM_FUNC_QUALIFIER double sqrt(double x)
	{
	# ifdef __CUDACC__ // Wordaround for a CUDA compiler bug up to CUDA6
	detail::tvec1<double, highp> tmp(detail::compute_sqrt<detail::tvec1, double, highp>::call(x));
	return tmp.x;
	# else
	return detail::compute_sqrt<detail::tvec1, double, highp>::call(x).x;
	# endif
	}

	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::compute_sqrt<vecType, T, P>::call(x);
	}

	// inversesqrt
	GLM_FUNC_QUALIFIER float inversesqrt(float const & x)
	{
	return 1.0f / sqrt(x);
	}

	GLM_FUNC_QUALIFIER double inversesqrt(double const & x)
	{
	return 1.0 / sqrt(x);
	}

	template <template <class, precision> class vecType, typename T, precision P>
	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);
	}

	VECTORIZE_VEC(inversesqrt)
	}//namespace glm