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247 lines
7.1 KiB
247 lines
7.1 KiB
/////////////////////////////////////////////////////////////////////////////////// |
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/// OpenGL Mathematics (glm.g-truc.net) |
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/// |
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/// Copyright (c) 2005 - 2014 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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/// 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 core |
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/// @file glm/core/func_exponential.inl |
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/// @date 2008-08-03 / 2011-06-15 |
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/// @author Christophe Riccio |
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/////////////////////////////////////////////////////////////////////////////////// |
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#include "func_vector_relational.hpp" |
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#include "_vectorize.hpp" |
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#include <limits> |
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#include <cassert> |
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namespace glm{ |
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namespace detail |
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{ |
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template <bool isFloat> |
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struct compute_log2 |
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{ |
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template <typename T> |
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T operator() (T const & Value) const; |
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}; |
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template <> |
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struct compute_log2<true> |
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{ |
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template <typename T> |
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GLM_FUNC_QUALIFIER T operator() (T const & Value) const |
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{ |
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return static_cast<T>(::std::log(Value)) * static_cast<T>(1.4426950408889634073599246810019); |
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} |
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}; |
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template <template <class, precision> class vecType, typename T, precision P> |
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struct compute_inversesqrt |
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{ |
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x) |
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{ |
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return static_cast<T>(1) / sqrt(x); |
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} |
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}; |
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template <template <class, precision> class vecType> |
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struct compute_inversesqrt<vecType, float, lowp> |
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{ |
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GLM_FUNC_QUALIFIER static vecType<float, lowp> call(vecType<float, lowp> const & x) |
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{ |
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vecType<float, lowp> tmp(x); |
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vecType<float, lowp> xhalf(tmp * 0.5f); |
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vecType<uint, lowp>* p = reinterpret_cast<vecType<uint, lowp>*>(const_cast<vecType<float, lowp>*>(&x)); |
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vecType<uint, lowp> i = vecType<uint, lowp>(0x5f375a86) - (*p >> vecType<uint, lowp>(1)); |
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vecType<float, lowp>* ptmp = reinterpret_cast<vecType<float, lowp>*>(&i); |
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tmp = *ptmp; |
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tmp = tmp * (1.5f - xhalf * tmp * tmp); |
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return tmp; |
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} |
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}; |
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}//namespace detail |
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// pow |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType pow |
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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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{ |
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GLM_STATIC_ASSERT( |
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std::numeric_limits<genType>::is_iec559, |
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"'pow' only accept floating-point inputs"); |
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return std::pow(x, y); |
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} |
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VECTORIZE_VEC_VEC(pow) |
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// exp |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType exp |
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( |
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genType const & x |
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) |
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{ |
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GLM_STATIC_ASSERT( |
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std::numeric_limits<genType>::is_iec559, |
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"'exp' only accept floating-point inputs"); |
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return std::exp(x); |
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} |
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VECTORIZE_VEC(exp) |
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// log |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType log |
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( |
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genType const & x |
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) |
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{ |
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GLM_STATIC_ASSERT( |
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std::numeric_limits<genType>::is_iec559, |
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"'log' only accept floating-point inputs"); |
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return std::log(x); |
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} |
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VECTORIZE_VEC(log) |
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//exp2, ln2 = 0.69314718055994530941723212145818f |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType exp2(genType const & x) |
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{ |
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GLM_STATIC_ASSERT( |
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std::numeric_limits<genType>::is_iec559, |
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"'exp2' only accept floating-point inputs"); |
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return std::exp(static_cast<genType>(0.69314718055994530941723212145818) * x); |
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} |
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VECTORIZE_VEC(exp2) |
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// log2, ln2 = 0.69314718055994530941723212145818f |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType log2(genType x) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559 || std::numeric_limits<genType>::is_integer, |
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"GLM core 'log2' only accept floating-point inputs. Include <glm/gtx/integer.hpp> for additional integer support."); |
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assert(x > genType(0)); // log2 is only defined on the range (0, inf] |
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return detail::compute_log2<std::numeric_limits<genType>::is_iec559>()(x); |
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} |
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VECTORIZE_VEC(log2) |
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namespace detail |
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{ |
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template <template <class, precision> class vecType, typename T, precision P> |
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struct compute_sqrt{}; |
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template <typename T, precision P> |
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struct compute_sqrt<detail::tvec1, T, P> |
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{ |
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GLM_FUNC_QUALIFIER static detail::tvec1<T, P> call(detail::tvec1<T, P> const & x) |
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{ |
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return detail::tvec1<T, P>(std::sqrt(x.x)); |
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} |
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}; |
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template <typename T, precision P> |
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struct compute_sqrt<detail::tvec2, T, P> |
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{ |
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GLM_FUNC_QUALIFIER static detail::tvec2<T, P> call(detail::tvec2<T, P> const & x) |
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{ |
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return detail::tvec2<T, P>(std::sqrt(x.x), std::sqrt(x.y)); |
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} |
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}; |
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template <typename T, precision P> |
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struct compute_sqrt<detail::tvec3, T, P> |
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{ |
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GLM_FUNC_QUALIFIER static detail::tvec3<T, P> call(detail::tvec3<T, P> const & x) |
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{ |
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return detail::tvec3<T, P>(std::sqrt(x.x), std::sqrt(x.y), std::sqrt(x.z)); |
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} |
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}; |
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template <typename T, precision P> |
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struct compute_sqrt<detail::tvec4, T, P> |
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{ |
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GLM_FUNC_QUALIFIER static detail::tvec4<T, P> call(detail::tvec4<T, P> const & x) |
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{ |
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return detail::tvec4<T, P>(std::sqrt(x.x), std::sqrt(x.y), std::sqrt(x.z), std::sqrt(x.w)); |
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} |
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}; |
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}//namespace detail |
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// sqrt |
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GLM_FUNC_QUALIFIER float sqrt(float x) |
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{ |
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# ifdef __CUDACC__ // Wordaround for a CUDA compiler bug up to CUDA6 |
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detail::tvec1<float, highp> tmp(detail::compute_sqrt<detail::tvec1, float, highp>::call(x)); |
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return tmp.x; |
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# else |
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return detail::compute_sqrt<detail::tvec1, float, highp>::call(x).x; |
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# endif |
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} |
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GLM_FUNC_QUALIFIER double sqrt(double x) |
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{ |
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# ifdef __CUDACC__ // Wordaround for a CUDA compiler bug up to CUDA6 |
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detail::tvec1<double, highp> tmp(detail::compute_sqrt<detail::tvec1, double, highp>::call(x)); |
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return tmp.x; |
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# else |
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return detail::compute_sqrt<detail::tvec1, double, highp>::call(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> sqrt(vecType<T, P> const & x) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'sqrt' only accept floating-point inputs"); |
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return detail::compute_sqrt<vecType, T, P>::call(x); |
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} |
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// inversesqrt |
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GLM_FUNC_QUALIFIER float inversesqrt(float const & x) |
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{ |
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return 1.0f / sqrt(x); |
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} |
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GLM_FUNC_QUALIFIER double inversesqrt(double const & x) |
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{ |
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return 1.0 / sqrt(x); |
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} |
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template <template <class, precision> class vecType, typename T, precision P> |
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GLM_FUNC_QUALIFIER vecType<T, P> inversesqrt |
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( |
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vecType<T, P> const & x |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'inversesqrt' only accept floating-point inputs"); |
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return detail::compute_inversesqrt<vecType, T, P>::call(x); |
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} |
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VECTORIZE_VEC(inversesqrt) |
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}//namespace glm
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