| /////////////////////////////////////////////////////////////////////////////////// |
| /// 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 |