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/////////////////////////////////////////////////////////////////////////////////// |
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/// OpenGL Mathematics (glm.g-truc.net) |
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/// |
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/// Copyright (c) 2005 - 2012 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_common.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 "_vectorize.hpp" |
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namespace glm{ |
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namespace detail |
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{ |
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template <typename genFIType, bool /*signed*/> |
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struct Abs_ |
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{}; |
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template <typename genFIType> |
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struct Abs_<genFIType, true> |
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{ |
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static genFIType get(genFIType const & x) |
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{ |
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GLM_STATIC_ASSERT( |
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detail::type<genFIType>::is_float || |
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detail::type<genFIType>::is_int, "'abs' only accept floating-point and integer inputs"); |
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return x >= genFIType(0) ? x : -x; |
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// TODO, perf comp with: *(((int *) &x) + 1) &= 0x7fffffff; |
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} |
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}; |
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template <typename genFIType> |
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struct Abs_<genFIType, false> |
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{ |
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static genFIType get(genFIType const & x) |
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{ |
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GLM_STATIC_ASSERT( |
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detail::type<genFIType>::is_uint, "'abs' only accept floating-point and integer inputs"); |
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return x; |
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} |
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}; |
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}//namespace detail |
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// abs |
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template <typename genFIType> |
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GLM_FUNC_QUALIFIER genFIType abs |
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( |
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genFIType const & x |
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) |
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{ |
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return detail::Abs_<genFIType, std::numeric_limits<genFIType>::is_signed>::get(x); |
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} |
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VECTORIZE_VEC(abs) |
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// sign |
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//Try something like based on x >> 31 to get the sign bit |
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template <typename genFIType> |
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GLM_FUNC_QUALIFIER genFIType sign |
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( |
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genFIType const & x |
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) |
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{ |
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GLM_STATIC_ASSERT( |
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detail::type<genFIType>::is_float || |
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detail::type<genFIType>::is_int, "'sign' only accept signed inputs"); |
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genFIType result; |
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if(x > genFIType(0)) |
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result = genFIType(1); |
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else if(x < genFIType(0)) |
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result = genFIType(-1); |
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else |
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result = genFIType(0); |
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return result; |
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} |
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VECTORIZE_VEC(sign) |
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// floor |
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template <> |
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GLM_FUNC_QUALIFIER detail::half floor<detail::half>(detail::half const & x) |
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{ |
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return detail::half(::std::floor(float(x))); |
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} |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType floor(genType const & x) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'floor' only accept floating-point inputs"); |
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return ::std::floor(x); |
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} |
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VECTORIZE_VEC(floor) |
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// trunc |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType trunc(genType const & x) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'trunc' only accept floating-point inputs"); |
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return x < 0 ? -floor(-x) : floor(x); |
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} |
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VECTORIZE_VEC(trunc) |
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// round |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType round(genType const& x) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'round' only accept floating-point inputs"); |
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if(x < 0) |
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return genType(int(x - genType(0.5))); |
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return genType(int(x + genType(0.5))); |
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} |
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VECTORIZE_VEC(round) |
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/* |
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// roundEven |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType roundEven(genType const& x) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'roundEven' only accept floating-point inputs"); |
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return genType(int(x + genType(int(x) % 2))); |
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} |
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*/ |
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// roundEven |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType roundEven(genType const & x) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'roundEven' only accept floating-point inputs"); |
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int Integer = int(x); |
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genType IntegerPart = genType(Integer); |
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genType FractionalPart = fract(x); |
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if(FractionalPart > genType(0.5) || FractionalPart < genType(0.5)) |
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{ |
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return round(x); |
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} |
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else if((Integer % 2) == 0) |
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{ |
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return IntegerPart; |
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} |
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else if(x <= genType(0)) // Work around... |
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{ |
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return IntegerPart - 1; |
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} |
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else |
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{ |
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return IntegerPart + 1; |
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} |
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//else // Bug on MinGW 4.5.2 |
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//{ |
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// return mix(IntegerPart + genType(-1), IntegerPart + genType(1), x <= genType(0)); |
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//} |
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} |
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VECTORIZE_VEC(roundEven) |
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// ceil |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType ceil(genType const & x) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'ceil' only accept floating-point inputs"); |
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return ::std::ceil(x); |
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} |
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VECTORIZE_VEC(ceil) |
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// fract |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType fract |
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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(detail::type<genType>::is_float, "'fract' only accept floating-point inputs"); |
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return x - ::std::floor(x); |
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} |
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VECTORIZE_VEC(fract) |
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// mod |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType mod |
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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(detail::type<genType>::is_float, "'mod' only accept floating-point inputs"); |
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return x - y * floor(x / y); |
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} |
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VECTORIZE_VEC_SCA(mod) |
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VECTORIZE_VEC_VEC(mod) |
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// modf |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType modf |
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( |
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genType const & x, |
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genType & i |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'modf' only accept floating-point inputs"); |
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return std::modf(x, &i); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec2<valType> modf |
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( |
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detail::tvec2<valType> const & x, |
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detail::tvec2<valType> & i |
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) |
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{ |
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return detail::tvec2<valType>( |
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modf(x.x, i.x), |
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modf(x.y, i.y)); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec3<valType> modf |
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( |
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detail::tvec3<valType> const & x, |
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detail::tvec3<valType> & i |
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) |
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{ |
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return detail::tvec3<valType>( |
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modf(x.x, i.x), |
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modf(x.y, i.y), |
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modf(x.z, i.z)); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec4<valType> modf |
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( |
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detail::tvec4<valType> const & x, |
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detail::tvec4<valType> & i |
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) |
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{ |
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return detail::tvec4<valType>( |
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modf(x.x, i.x), |
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modf(x.y, i.y), |
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modf(x.z, i.z), |
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modf(x.w, i.w)); |
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} |
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//// Only valid if (INT_MIN <= x-y <= INT_MAX) |
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//// min(x,y) |
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//r = y + ((x - y) & ((x - y) >> (sizeof(int) * |
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//CHAR_BIT <EFBFBD> 1))); |
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//// max(x,y) |
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//r = x - ((x - y) & ((x - y) >> (sizeof(int) * |
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//CHAR_BIT - 1))); |
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// min |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType min |
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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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detail::type<genType>::is_float || |
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detail::type<genType>::is_int || |
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detail::type<genType>::is_uint, "'min' only accept numbers"); |
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return x < y ? x : y; |
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} |
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VECTORIZE_VEC_SCA(min) |
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VECTORIZE_VEC_VEC(min) |
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// max |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType max |
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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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detail::type<genType>::is_float || |
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detail::type<genType>::is_int || |
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detail::type<genType>::is_uint, "'max' only accept numbers"); |
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return x > y ? x : y; |
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} |
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VECTORIZE_VEC_SCA(max) |
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VECTORIZE_VEC_VEC(max) |
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// clamp |
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template <typename valType> |
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GLM_FUNC_QUALIFIER valType clamp |
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( |
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valType const & x, |
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valType const & minVal, |
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valType const & maxVal |
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) |
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{ |
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GLM_STATIC_ASSERT( |
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detail::type<valType>::is_float || |
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detail::type<valType>::is_int || |
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detail::type<valType>::is_uint, "'clamp' only accept numbers"); |
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// Old implementation, less predictable branching |
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//if(x >= maxVal) return maxVal; |
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//if(x <= minVal) return minVal; |
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//return x; |
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return max(min(x, maxVal), minVal); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> clamp |
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( |
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detail::tvec2<T> const & x, |
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typename detail::tvec2<T>::value_type const & minVal, |
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typename detail::tvec2<T>::value_type const & maxVal |
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) |
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{ |
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return detail::tvec2<T>( |
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clamp(x.x, minVal, maxVal), |
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clamp(x.y, minVal, maxVal)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> clamp |
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( |
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detail::tvec3<T> const & x, |
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typename detail::tvec3<T>::value_type const & minVal, |
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typename detail::tvec3<T>::value_type const & maxVal |
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) |
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{ |
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return detail::tvec3<T>( |
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clamp(x.x, minVal, maxVal), |
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clamp(x.y, minVal, maxVal), |
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clamp(x.z, minVal, maxVal)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> clamp |
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( |
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detail::tvec4<T> const & x, |
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typename detail::tvec4<T>::value_type const & minVal, |
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typename detail::tvec4<T>::value_type const & maxVal |
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) |
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{ |
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return detail::tvec4<T>( |
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clamp(x.x, minVal, maxVal), |
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clamp(x.y, minVal, maxVal), |
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clamp(x.z, minVal, maxVal), |
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clamp(x.w, minVal, maxVal)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> clamp |
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( |
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detail::tvec2<T> const & x, |
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detail::tvec2<T> const & minVal, |
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detail::tvec2<T> const & maxVal |
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) |
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{ |
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return detail::tvec2<T>( |
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clamp(x.x, minVal.x, maxVal.x), |
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clamp(x.y, minVal.y, maxVal.y)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> clamp |
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( |
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detail::tvec3<T> const & x, |
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detail::tvec3<T> const & minVal, |
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detail::tvec3<T> const & maxVal |
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) |
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{ |
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return detail::tvec3<T>( |
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clamp(x.x, minVal.x, maxVal.x), |
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clamp(x.y, minVal.y, maxVal.y), |
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clamp(x.z, minVal.z, maxVal.z)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> clamp |
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( |
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detail::tvec4<T> const & x, |
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detail::tvec4<T> const & minVal, |
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detail::tvec4<T> const & maxVal |
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) |
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{ |
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return detail::tvec4<T>( |
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clamp(x.x, minVal.x, maxVal.x), |
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clamp(x.y, minVal.y, maxVal.y), |
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clamp(x.z, minVal.z, maxVal.z), |
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clamp(x.w, minVal.w, maxVal.w)); |
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} |
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// mix |
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template <typename genTypeT, typename genTypeU> |
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GLM_FUNC_QUALIFIER genTypeT mix |
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( |
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genTypeT const & x, |
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genTypeT const & y, |
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genTypeU const & a |
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) |
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{ |
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// It could be a vector too |
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//GLM_STATIC_ASSERT( |
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// detail::type<genTypeT>::is_float && |
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// detail::type<genTypeU>::is_float); |
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//return x + a * (y - x); |
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return genTypeT(genTypeU(x) + a * genTypeU(y - x)); |
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} |
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template <typename valTypeA, typename valTypeB> |
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GLM_FUNC_QUALIFIER detail::tvec2<valTypeA> mix |
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( |
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detail::tvec2<valTypeA> const & x, |
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detail::tvec2<valTypeA> const & y, |
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|
valTypeB const & a |
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) |
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{ |
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|
return detail::tvec2<valTypeA>( |
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detail::tvec2<valTypeB>(x) + a * detail::tvec2<valTypeB>(y - x)); |
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} |
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template <typename valTypeA, typename valTypeB> |
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GLM_FUNC_QUALIFIER detail::tvec3<valTypeA> mix |
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( |
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detail::tvec3<valTypeA> const & x, |
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detail::tvec3<valTypeA> const & y, |
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|
valTypeB const & a |
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) |
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{ |
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return detail::tvec3<valTypeA>( |
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detail::tvec3<valTypeB>(x) + a * detail::tvec3<valTypeB>(y - x)); |
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} |
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template <typename valTypeA, typename valTypeB> |
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GLM_FUNC_QUALIFIER detail::tvec4<valTypeA> mix |
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( |
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detail::tvec4<valTypeA> const & x, |
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detail::tvec4<valTypeA> const & y, |
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|
valTypeB const & a |
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) |
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{ |
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|
return detail::tvec4<valTypeA>( |
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detail::tvec4<valTypeB>(x) + a * detail::tvec4<valTypeB>(y - x)); |
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} |
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template <typename valTypeA, typename valTypeB> |
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GLM_FUNC_QUALIFIER detail::tvec2<valTypeA> mix |
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|
( |
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detail::tvec2<valTypeA> const & x, |
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detail::tvec2<valTypeA> const & y, |
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|
detail::tvec2<valTypeB> const & a |
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|
) |
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|
{ |
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|
return detail::tvec2<valTypeA>( |
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|
detail::tvec2<valTypeB>(x) + a * detail::tvec2<valTypeB>(y - x)); |
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} |
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|
|
template <typename valTypeA, typename valTypeB> |
|
|
GLM_FUNC_QUALIFIER detail::tvec3<valTypeA> mix |
|
|
( |
|
|
detail::tvec3<valTypeA> const & x, |
|
|
detail::tvec3<valTypeA> const & y, |
|
|
detail::tvec3<valTypeB> const & a |
|
|
) |
|
|
{ |
|
|
return detail::tvec3<valTypeA>( |
|
|
detail::tvec3<valTypeB>(x) + a * detail::tvec3<valTypeB>(y - x)); |
|
|
} |
|
|
|
|
|
template <typename valTypeA, typename valTypeB> |
|
|
GLM_FUNC_QUALIFIER detail::tvec4<valTypeA> mix |
|
|
( |
|
|
detail::tvec4<valTypeA> const & x, |
|
|
detail::tvec4<valTypeA> const & y, |
|
|
detail::tvec4<valTypeB> const & a |
|
|
) |
|
|
{ |
|
|
return detail::tvec4<valTypeA>( |
|
|
detail::tvec4<valTypeB>(x) + a * detail::tvec4<valTypeB>(y - x)); |
|
|
} |
|
|
|
|
|
//template <typename genTypeT> |
|
|
//GLM_FUNC_QUALIFIER genTypeT mix |
|
|
//( |
|
|
// genTypeT const & x, |
|
|
// genTypeT const & y, |
|
|
// float const & a |
|
|
//) |
|
|
//{ |
|
|
// // It could be a vector too |
|
|
// //GLM_STATIC_ASSERT( |
|
|
// // detail::type<genTypeT>::is_float && |
|
|
// // detail::type<genTypeU>::is_float); |
|
|
|
|
|
// return x + a * (y - x); |
|
|
//} |
|
|
|
|
|
template <typename genType> |
|
|
GLM_FUNC_QUALIFIER genType mix |
|
|
( |
|
|
genType const & x, |
|
|
genType const & y, |
|
|
bool const & a |
|
|
) |
|
|
{ |
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'mix' only accept floating-point inputs"); |
|
|
|
|
|
return a ? y : x; |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec2<T> mix |
|
|
( |
|
|
detail::tvec2<T> const & x, |
|
|
detail::tvec2<T> const & y, |
|
|
typename detail::tvec2<T>::bool_type a |
|
|
) |
|
|
{ |
|
|
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'mix' only accept floating-point inputs"); |
|
|
|
|
|
detail::tvec2<T> result; |
|
|
for |
|
|
( |
|
|
typename detail::tvec2<T>::size_type i = 0; |
|
|
i < detail::tvec2<T>::value_size(); |
|
|
++i |
|
|
) |
|
|
{ |
|
|
result[i] = a[i] ? y[i] : x[i]; |
|
|
} |
|
|
return result; |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec3<T> mix |
|
|
( |
|
|
detail::tvec3<T> const & x, |
|
|
detail::tvec3<T> const & y, |
|
|
typename detail::tvec3<T>::bool_type a |
|
|
) |
|
|
{ |
|
|
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'mix' only accept floating-point inputs"); |
|
|
|
|
|
detail::tvec3<T> result; |
|
|
for |
|
|
( |
|
|
typename detail::tvec3<T>::size_type i = 0; |
|
|
i < detail::tvec3<T>::value_size(); |
|
|
++i |
|
|
) |
|
|
{ |
|
|
result[i] = a[i] ? y[i] : x[i]; |
|
|
} |
|
|
return result; |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec4<T> mix |
|
|
( |
|
|
detail::tvec4<T> const & x, |
|
|
detail::tvec4<T> const & y, |
|
|
typename detail::tvec4<T>::bool_type a |
|
|
) |
|
|
{ |
|
|
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'mix' only accept floating-point inputs"); |
|
|
|
|
|
detail::tvec4<T> result; |
|
|
for |
|
|
( |
|
|
typename detail::tvec4<T>::size_type i = 0; |
|
|
i < detail::tvec4<T>::value_size(); |
|
|
++i |
|
|
) |
|
|
{ |
|
|
result[i] = a[i] ? y[i] : x[i]; |
|
|
} |
|
|
return result; |
|
|
} |
|
|
|
|
|
// step |
|
|
template <typename genType> |
|
|
GLM_FUNC_QUALIFIER genType step |
|
|
( |
|
|
genType const & edge, |
|
|
genType const & x |
|
|
) |
|
|
{ |
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'mix' only accept floating-point inputs"); |
|
|
|
|
|
return x < edge ? genType(0) : genType(1); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec2<T> step |
|
|
( |
|
|
typename detail::tvec2<T>::value_type const & edge, |
|
|
detail::tvec2<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec2<T>( |
|
|
x.x < edge ? T(0) : T(1), |
|
|
x.y < edge ? T(0) : T(1)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec3<T> step |
|
|
( |
|
|
typename detail::tvec3<T>::value_type const & edge, |
|
|
detail::tvec3<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec3<T>( |
|
|
x.x < edge ? T(0) : T(1), |
|
|
x.y < edge ? T(0) : T(1), |
|
|
x.z < edge ? T(0) : T(1)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec4<T> step |
|
|
( |
|
|
typename detail::tvec4<T>::value_type const & edge, |
|
|
detail::tvec4<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec4<T>( |
|
|
x.x < edge ? T(0) : T(1), |
|
|
x.y < edge ? T(0) : T(1), |
|
|
x.z < edge ? T(0) : T(1), |
|
|
x.w < edge ? T(0) : T(1)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec2<T> step |
|
|
( |
|
|
detail::tvec2<T> const & edge, |
|
|
detail::tvec2<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec2<T>( |
|
|
x.x < edge.x ? T(0) : T(1), |
|
|
x.y < edge.y ? T(0) : T(1)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec3<T> step |
|
|
( |
|
|
detail::tvec3<T> const & edge, |
|
|
detail::tvec3<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec3<T>( |
|
|
x.x < edge.x ? T(0) : T(1), |
|
|
x.y < edge.y ? T(0) : T(1), |
|
|
x.z < edge.z ? T(0) : T(1)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec4<T> step |
|
|
( |
|
|
detail::tvec4<T> const & edge, |
|
|
detail::tvec4<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec4<T>( |
|
|
x.x < edge.x ? T(0) : T(1), |
|
|
x.y < edge.y ? T(0) : T(1), |
|
|
x.z < edge.z ? T(0) : T(1), |
|
|
x.w < edge.w ? T(0) : T(1)); |
|
|
} |
|
|
|
|
|
// smoothstep |
|
|
template <typename genType> |
|
|
GLM_FUNC_QUALIFIER genType smoothstep |
|
|
( |
|
|
genType const & edge0, |
|
|
genType const & edge1, |
|
|
genType const & x |
|
|
) |
|
|
{ |
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'mix' only accept floating-point inputs"); |
|
|
|
|
|
genType tmp = clamp((x - edge0) / (edge1 - edge0), genType(0), genType(1)); |
|
|
return tmp * tmp * (genType(3) - genType(2) * tmp); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec2<T> smoothstep |
|
|
( |
|
|
typename detail::tvec2<T>::value_type const & edge0, |
|
|
typename detail::tvec2<T>::value_type const & edge1, |
|
|
detail::tvec2<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec2<T>( |
|
|
smoothstep(edge0, edge1, x.x), |
|
|
smoothstep(edge0, edge1, x.y)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec3<T> smoothstep |
|
|
( |
|
|
typename detail::tvec3<T>::value_type const & edge0, |
|
|
typename detail::tvec3<T>::value_type const & edge1, |
|
|
detail::tvec3<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec3<T>( |
|
|
smoothstep(edge0, edge1, x.x), |
|
|
smoothstep(edge0, edge1, x.y), |
|
|
smoothstep(edge0, edge1, x.z)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec4<T> smoothstep |
|
|
( |
|
|
typename detail::tvec4<T>::value_type const & edge0, |
|
|
typename detail::tvec4<T>::value_type const & edge1, |
|
|
detail::tvec4<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec4<T>( |
|
|
smoothstep(edge0, edge1, x.x), |
|
|
smoothstep(edge0, edge1, x.y), |
|
|
smoothstep(edge0, edge1, x.z), |
|
|
smoothstep(edge0, edge1, x.w)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec2<T> smoothstep |
|
|
( |
|
|
detail::tvec2<T> const & edge0, |
|
|
detail::tvec2<T> const & edge1, |
|
|
detail::tvec2<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec2<T>( |
|
|
smoothstep(edge0.x, edge1.x, x.x), |
|
|
smoothstep(edge0.y, edge1.y, x.y)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec3<T> smoothstep |
|
|
( |
|
|
detail::tvec3<T> const & edge0, |
|
|
detail::tvec3<T> const & edge1, |
|
|
detail::tvec3<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec3<T>( |
|
|
smoothstep(edge0.x, edge1.x, x.x), |
|
|
smoothstep(edge0.y, edge1.y, x.y), |
|
|
smoothstep(edge0.z, edge1.z, x.z)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec4<T> smoothstep |
|
|
( |
|
|
detail::tvec4<T> const & edge0, |
|
|
detail::tvec4<T> const & edge1, |
|
|
detail::tvec4<T> const & x |
|
|
) |
|
|
{ |
|
|
return detail::tvec4<T>( |
|
|
smoothstep(edge0.x, edge1.x, x.x), |
|
|
smoothstep(edge0.y, edge1.y, x.y), |
|
|
smoothstep(edge0.z, edge1.z, x.z), |
|
|
smoothstep(edge0.w, edge1.w, x.w)); |
|
|
} |
|
|
|
|
|
template <typename genType> |
|
|
GLM_FUNC_QUALIFIER typename genType::bool_type isnan |
|
|
( |
|
|
genType const & x |
|
|
) |
|
|
{ |
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'mix' only accept floating-point inputs"); |
|
|
|
|
|
#if(GLM_COMPILER & GLM_COMPILER_VC) |
|
|
return typename genType::bool_type(_isnan(x)); |
|
|
#elif(GLM_PLATFORM & GLM_PLATFORM_ANDROID) |
|
|
return typename genType::bool_type(::isnanf(x)); |
|
|
#else |
|
|
return typename genType::bool_type(std::isnan(x)); |
|
|
#endif |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER typename detail::tvec2<T>::bool_type isnan |
|
|
( |
|
|
detail::tvec2<T> const & x |
|
|
) |
|
|
{ |
|
|
return typename detail::tvec2<T>::bool_type( |
|
|
isnan(x.x), |
|
|
isnan(x.y)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER typename detail::tvec3<T>::bool_type isnan |
|
|
( |
|
|
detail::tvec3<T> const & x |
|
|
) |
|
|
{ |
|
|
return typename detail::tvec3<T>::bool_type( |
|
|
isnan(x.x), |
|
|
isnan(x.y), |
|
|
isnan(x.z)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER typename detail::tvec4<T>::bool_type isnan |
|
|
( |
|
|
detail::tvec4<T> const & x |
|
|
) |
|
|
{ |
|
|
return typename detail::tvec4<T>::bool_type( |
|
|
isnan(x.x), |
|
|
isnan(x.y), |
|
|
isnan(x.z), |
|
|
isnan(x.w)); |
|
|
} |
|
|
|
|
|
template <typename genType> |
|
|
GLM_FUNC_QUALIFIER typename genType::bool_type isinf |
|
|
( |
|
|
genType const & x |
|
|
) |
|
|
{ |
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'isinf' only accept floating-point inputs"); |
|
|
|
|
|
#if(GLM_COMPILER & GLM_COMPILER_VC) |
|
|
return typename genType::bool_type(_fpclass(x) == _FPCLASS_NINF || _fpclass(x) == _FPCLASS_PINF); |
|
|
#elif(GLM_PLATFORM & GLM_PLATFORM_ANDROID) |
|
|
return typename genType::bool_type(::__isinf(x)); |
|
|
#else |
|
|
return typename genType::bool_type(std::isinf(x)); |
|
|
#endif |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER typename detail::tvec2<T>::bool_type isinf |
|
|
( |
|
|
detail::tvec2<T> const & x |
|
|
) |
|
|
{ |
|
|
return typename detail::tvec2<T>::bool_type( |
|
|
isinf(x.x), |
|
|
isinf(x.y)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER typename detail::tvec3<T>::bool_type isinf |
|
|
( |
|
|
detail::tvec3<T> const & x |
|
|
) |
|
|
{ |
|
|
return typename detail::tvec3<T>::bool_type( |
|
|
isinf(x.x), |
|
|
isinf(x.y), |
|
|
isinf(x.z)); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER typename detail::tvec4<T>::bool_type isinf |
|
|
( |
|
|
detail::tvec4<T> const & x |
|
|
) |
|
|
{ |
|
|
return typename detail::tvec4<T>::bool_type( |
|
|
isinf(x.x), |
|
|
isinf(x.y), |
|
|
isinf(x.z), |
|
|
isinf(x.w)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER int floatBitsToInt(float const & value) |
|
|
{ |
|
|
union |
|
|
{ |
|
|
float f; |
|
|
int i; |
|
|
} fi; |
|
|
|
|
|
fi.f = value; |
|
|
return fi.i; |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec2<int> floatBitsToInt |
|
|
( |
|
|
detail::tvec2<float> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec2<int>( |
|
|
floatBitsToInt(value.x), |
|
|
floatBitsToInt(value.y)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec3<int> floatBitsToInt |
|
|
( |
|
|
detail::tvec3<float> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec3<int>( |
|
|
floatBitsToInt(value.x), |
|
|
floatBitsToInt(value.y), |
|
|
floatBitsToInt(value.z)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec4<int> floatBitsToInt |
|
|
( |
|
|
detail::tvec4<float> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec4<int>( |
|
|
floatBitsToInt(value.x), |
|
|
floatBitsToInt(value.y), |
|
|
floatBitsToInt(value.z), |
|
|
floatBitsToInt(value.w)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER uint floatBitsToUint(float const & value) |
|
|
{ |
|
|
union |
|
|
{ |
|
|
float f; |
|
|
uint u; |
|
|
} fu; |
|
|
|
|
|
fu.f = value; |
|
|
return fu.u; |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec2<uint> floatBitsToUint |
|
|
( |
|
|
detail::tvec2<float> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec2<uint>( |
|
|
floatBitsToUint(value.x), |
|
|
floatBitsToUint(value.y)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec3<uint> floatBitsToUint |
|
|
( |
|
|
detail::tvec3<float> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec3<uint>( |
|
|
floatBitsToUint(value.x), |
|
|
floatBitsToUint(value.y), |
|
|
floatBitsToUint(value.z)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec4<uint> floatBitsToUint |
|
|
( |
|
|
detail::tvec4<float> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec4<uint>( |
|
|
floatBitsToUint(value.x), |
|
|
floatBitsToUint(value.y), |
|
|
floatBitsToUint(value.z), |
|
|
floatBitsToUint(value.w)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER float intBitsToFloat(int const & value) |
|
|
{ |
|
|
union |
|
|
{ |
|
|
float f; |
|
|
int i; |
|
|
} fi; |
|
|
|
|
|
fi.i = value; |
|
|
return fi.f; |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec2<float> intBitsToFloat |
|
|
|
|
|
( |
|
|
detail::tvec2<int> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec2<float>( |
|
|
intBitsToFloat(value.x), |
|
|
intBitsToFloat(value.y)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec3<float> intBitsToFloat |
|
|
( |
|
|
detail::tvec3<int> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec3<float>( |
|
|
intBitsToFloat(value.x), |
|
|
intBitsToFloat(value.y), |
|
|
intBitsToFloat(value.z)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec4<float> intBitsToFloat |
|
|
( |
|
|
detail::tvec4<int> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec4<float>( |
|
|
intBitsToFloat(value.x), |
|
|
intBitsToFloat(value.y), |
|
|
intBitsToFloat(value.z), |
|
|
intBitsToFloat(value.w)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER float uintBitsToFloat(uint const & value) |
|
|
{ |
|
|
union |
|
|
{ |
|
|
float f; |
|
|
uint u; |
|
|
} fu; |
|
|
|
|
|
fu.u = value; |
|
|
return fu.f; |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec2<float> uintBitsToFloat |
|
|
( |
|
|
detail::tvec2<uint> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec2<float>( |
|
|
uintBitsToFloat(value.x), |
|
|
uintBitsToFloat(value.y)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec3<float> uintBitsToFloat |
|
|
( |
|
|
detail::tvec3<uint> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec3<float>( |
|
|
uintBitsToFloat(value.x), |
|
|
uintBitsToFloat(value.y), |
|
|
uintBitsToFloat(value.z)); |
|
|
} |
|
|
|
|
|
GLM_FUNC_QUALIFIER detail::tvec4<float> uintBitsToFloat |
|
|
( |
|
|
detail::tvec4<uint> const & value |
|
|
) |
|
|
{ |
|
|
return detail::tvec4<float>( |
|
|
uintBitsToFloat(value.x), |
|
|
uintBitsToFloat(value.y), |
|
|
uintBitsToFloat(value.z), |
|
|
uintBitsToFloat(value.w)); |
|
|
} |
|
|
|
|
|
template <typename genType> |
|
|
GLM_FUNC_QUALIFIER genType fma |
|
|
( |
|
|
genType const & a, |
|
|
genType const & b, |
|
|
genType const & c |
|
|
) |
|
|
{ |
|
|
return a * b + c; |
|
|
} |
|
|
|
|
|
template <typename genType> |
|
|
GLM_FUNC_QUALIFIER genType frexp |
|
|
( |
|
|
genType const & x, |
|
|
int & exp |
|
|
) |
|
|
{ |
|
|
return std::frexp(x, exp); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec2<T> frexp |
|
|
( |
|
|
detail::tvec2<T> const & x, |
|
|
detail::tvec2<int> & exp |
|
|
) |
|
|
{ |
|
|
return std::frexp(x, exp); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec3<T> frexp |
|
|
( |
|
|
detail::tvec3<T> const & x, |
|
|
detail::tvec3<int> & exp |
|
|
) |
|
|
{ |
|
|
return std::frexp(x, exp); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec4<T> frexp |
|
|
( |
|
|
detail::tvec4<T> const & x, |
|
|
detail::tvec4<int> & exp |
|
|
) |
|
|
{ |
|
|
return std::frexp(x, exp); |
|
|
} |
|
|
|
|
|
template <typename genType> |
|
|
GLM_FUNC_QUALIFIER genType ldexp |
|
|
( |
|
|
genType const & x, |
|
|
int const & exp |
|
|
) |
|
|
{ |
|
|
return std::frexp(x, exp); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec2<T> ldexp |
|
|
( |
|
|
detail::tvec2<T> const & x, |
|
|
detail::tvec2<int> const & exp |
|
|
) |
|
|
{ |
|
|
return std::frexp(x, exp); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec3<T> ldexp |
|
|
( |
|
|
detail::tvec3<T> const & x, |
|
|
detail::tvec3<int> const & exp |
|
|
) |
|
|
{ |
|
|
return std::frexp(x, exp); |
|
|
} |
|
|
|
|
|
template <typename T> |
|
|
GLM_FUNC_QUALIFIER detail::tvec4<T> ldexp |
|
|
( |
|
|
detail::tvec4<T> const & x, |
|
|
detail::tvec4<int> const & exp |
|
|
) |
|
|
{ |
|
|
return std::frexp(x, exp); |
|
|
} |
|
|
|
|
|
}//namespace glm
|
|
|
|
