/////////////////////////////////////////////////////////////////////////////////// /// 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_common.inl /// @date 2008-08-03 / 2011-06-15 /// @author Christophe Riccio /////////////////////////////////////////////////////////////////////////////////// #include "func_vector_relational.hpp" #include "type_vec2.hpp" #include "type_vec3.hpp" #include "type_vec4.hpp" #include "_vectorize.hpp" #include <limits> namespace glm{ namespace detail { template <typename genFIType, bool /*signed*/> struct compute_abs {}; template <typename genFIType> struct compute_abs<genFIType, true> { GLM_FUNC_QUALIFIER static genFIType call(genFIType const & x) { GLM_STATIC_ASSERT( std::numeric_limits<genFIType>::is_iec559 || std::numeric_limits<genFIType>::is_signed, "'abs' only accept floating-point and integer scalar or vector inputs"); return x >= genFIType(0) ? x : -x; // TODO, perf comp with: *(((int *) &x) + 1) &= 0x7fffffff; } }; template <typename genFIType> struct compute_abs<genFIType, false> { GLM_FUNC_QUALIFIER static genFIType call(genFIType const & x) { GLM_STATIC_ASSERT( !std::numeric_limits<genFIType>::is_signed && std::numeric_limits<genFIType>::is_integer, "'abs' only accept floating-point and integer scalar or vector inputs"); return x; } }; template <typename T, typename U, precision P, template <class, precision> class vecType> struct compute_mix_vector { GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, vecType<T, P> const & y, vecType<U, P> const & a) { GLM_STATIC_ASSERT(std::numeric_limits<U>::is_iec559, "'mix' only accept floating-point inputs for the interpolator a"); return vecType<T, P>(vecType<U, P>(x) + a * vecType<U, P>(y - x)); } }; template <typename T, precision P, template <class, precision> class vecType> struct compute_mix_vector<T, bool, P, vecType> { GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, vecType<T, P> const & y, vecType<bool, P> const & a) { vecType<T, P> Result; for(length_t i = 0; i < x.length(); ++i) Result[i] = a[i] ? y[i] : x[i]; return Result; } }; template <typename T, typename U, precision P, template <class, precision> class vecType> struct compute_mix_scalar { GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, vecType<T, P> const & y, U const & a) { GLM_STATIC_ASSERT(std::numeric_limits<U>::is_iec559, "'mix' only accept floating-point inputs for the interpolator a"); return vecType<T, P>(vecType<U, P>(x) + a * vecType<U, P>(y - x)); } }; template <typename T, precision P, template <class, precision> class vecType> struct compute_mix_scalar<T, bool, P, vecType> { GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, vecType<T, P> const & y, bool const & a) { return a ? y : x; } }; template <typename T, typename U> struct compute_mix { GLM_FUNC_QUALIFIER static T call(T const & x, T const & y, U const & a) { GLM_STATIC_ASSERT(std::numeric_limits<U>::is_iec559, "'mix' only accept floating-point inputs for the interpolator a"); return static_cast<T>(static_cast<U>(x) + a * static_cast<U>(y - x)); } }; template <typename T> struct compute_mix<T, bool> { GLM_FUNC_QUALIFIER static T call(T const & x, T const & y, bool const & a) { return a ? y : x; } }; }//namespace detail // abs template <typename genFIType> GLM_FUNC_QUALIFIER genFIType abs ( genFIType const & x ) { return detail::compute_abs<genFIType, std::numeric_limits<genFIType>::is_signed>::call(x); } VECTORIZE_VEC(abs) // sign //Try something like based on x >> 31 to get the sign bit template <typename genFIType> GLM_FUNC_QUALIFIER genFIType sign ( genFIType const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<genFIType>::is_iec559 || (std::numeric_limits<genFIType>::is_signed && std::numeric_limits<genFIType>::is_integer), "'sign' only accept signed inputs"); genFIType result; if(x > genFIType(0)) result = genFIType(1); else if(x < genFIType(0)) result = genFIType(-1); else result = genFIType(0); return result; } VECTORIZE_VEC(sign) // floor template <typename genType> GLM_FUNC_QUALIFIER genType floor(genType const & x) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'floor' only accept floating-point inputs"); return ::std::floor(x); } VECTORIZE_VEC(floor) // trunc template <typename genType> GLM_FUNC_QUALIFIER genType trunc(genType const & x) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'trunc' only accept floating-point inputs"); // TODO, add C++11 std::trunk return x < 0 ? -floor(-x) : floor(x); } VECTORIZE_VEC(trunc) // round template <typename genType> GLM_FUNC_QUALIFIER genType round(genType const& x) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'round' only accept floating-point inputs"); // TODO, add C++11 std::round return x < 0 ? genType(int(x - genType(0.5))) : genType(int(x + genType(0.5))); } VECTORIZE_VEC(round) /* // roundEven template <typename genType> GLM_FUNC_QUALIFIER genType roundEven(genType const& x) { GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'roundEven' only accept floating-point inputs"); return genType(int(x + genType(int(x) % 2))); } */ // roundEven template <typename genType> GLM_FUNC_QUALIFIER genType roundEven(genType const & x) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'roundEven' only accept floating-point inputs"); int Integer = static_cast<int>(x); genType IntegerPart = static_cast<genType>(Integer); genType FractionalPart = fract(x); if(FractionalPart > static_cast<genType>(0.5) || FractionalPart < static_cast<genType>(0.5)) { return round(x); } else if((Integer % 2) == 0) { return IntegerPart; } else if(x <= static_cast<genType>(0)) // Work around... { return IntegerPart - static_cast<genType>(1); } else { return IntegerPart + static_cast<genType>(1); } //else // Bug on MinGW 4.5.2 //{ // return mix(IntegerPart + genType(-1), IntegerPart + genType(1), x <= genType(0)); //} } VECTORIZE_VEC(roundEven) // ceil template <typename genType> GLM_FUNC_QUALIFIER genType ceil(genType const & x) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'ceil' only accept floating-point inputs"); return ::std::ceil(x); } VECTORIZE_VEC(ceil) // fract template <typename genType> GLM_FUNC_QUALIFIER genType fract ( genType const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'fract' only accept floating-point inputs"); return x - floor(x); } VECTORIZE_VEC(fract) // mod template <typename genType> GLM_FUNC_QUALIFIER genType mod ( genType const & x, genType const & y ) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'mod' only accept floating-point inputs"); return x - y * floor(x / y); } VECTORIZE_VEC_SCA(mod) VECTORIZE_VEC_VEC(mod) // modf template <typename genType> GLM_FUNC_QUALIFIER genType modf ( genType const & x, genType & i ) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'modf' only accept floating-point inputs"); return std::modf(x, &i); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec2<T, P> modf ( detail::tvec2<T, P> const & x, detail::tvec2<T, P> & i ) { return detail::tvec2<T, P>( modf(x.x, i.x), modf(x.y, i.y)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec3<T, P> modf ( detail::tvec3<T, P> const & x, detail::tvec3<T, P> & i ) { return detail::tvec3<T, P>( modf(x.x, i.x), modf(x.y, i.y), modf(x.z, i.z)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec4<T, P> modf ( detail::tvec4<T, P> const & x, detail::tvec4<T, P> & i ) { return detail::tvec4<T, P>( modf(x.x, i.x), modf(x.y, i.y), modf(x.z, i.z), modf(x.w, i.w)); } //// Only valid if (INT_MIN <= x-y <= INT_MAX) //// min(x,y) //r = y + ((x - y) & ((x - y) >> (sizeof(int) * //CHAR_BIT - 1))); //// max(x,y) //r = x - ((x - y) & ((x - y) >> (sizeof(int) * //CHAR_BIT - 1))); // min template <typename genType> GLM_FUNC_QUALIFIER genType min ( genType const & x, genType const & y ) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559 || std::numeric_limits<genType>::is_integer, "'min' only accept floating-point or integer inputs"); return x < y ? x : y; } VECTORIZE_VEC_SCA(min) VECTORIZE_VEC_VEC(min) // max template <typename genType> GLM_FUNC_QUALIFIER genType max ( genType const & x, genType const & y ) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559 || std::numeric_limits<genType>::is_integer, "'max' only accept floating-point or integer inputs"); return x > y ? x : y; } VECTORIZE_VEC_SCA(max) VECTORIZE_VEC_VEC(max) // clamp template <typename genType> GLM_FUNC_QUALIFIER genType clamp ( genType const & x, genType const & minVal, genType const & maxVal ) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559 || std::numeric_limits<genType>::is_integer, "'clamp' only accept floating-point or integer inputs"); return min(maxVal, max(minVal, x)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec2<T, P> clamp ( detail::tvec2<T, P> const & x, T const & minVal, T const & maxVal ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer, "'clamp' only accept floating-point or integer inputs"); return detail::tvec2<T, P>( clamp(x.x, minVal, maxVal), clamp(x.y, minVal, maxVal)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec3<T, P> clamp ( detail::tvec3<T, P> const & x, T const & minVal, T const & maxVal ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer, "'clamp' only accept floating-point or integer inputs"); return detail::tvec3<T, P>( clamp(x.x, minVal, maxVal), clamp(x.y, minVal, maxVal), clamp(x.z, minVal, maxVal)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec4<T, P> clamp ( detail::tvec4<T, P> const & x, T const & minVal, T const & maxVal ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer, "'clamp' only accept floating-point or integer inputs"); return detail::tvec4<T, P>( clamp(x.x, minVal, maxVal), clamp(x.y, minVal, maxVal), clamp(x.z, minVal, maxVal), clamp(x.w, minVal, maxVal)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec2<T, P> clamp ( detail::tvec2<T, P> const & x, detail::tvec2<T, P> const & minVal, detail::tvec2<T, P> const & maxVal ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer, "'clamp' only accept floating-point or integer inputs"); return detail::tvec2<T, P>( clamp(x.x, minVal.x, maxVal.x), clamp(x.y, minVal.y, maxVal.y)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec3<T, P> clamp ( detail::tvec3<T, P> const & x, detail::tvec3<T, P> const & minVal, detail::tvec3<T, P> const & maxVal ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer, "'clamp' only accept floating-point or integer inputs"); return detail::tvec3<T, P>( clamp(x.x, minVal.x, maxVal.x), clamp(x.y, minVal.y, maxVal.y), clamp(x.z, minVal.z, maxVal.z)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec4<T, P> clamp ( detail::tvec4<T, P> const & x, detail::tvec4<T, P> const & minVal, detail::tvec4<T, P> const & maxVal ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer, "'clamp' only accept floating-point or integer inputs"); return detail::tvec4<T, P>( clamp(x.x, minVal.x, maxVal.x), clamp(x.y, minVal.y, maxVal.y), clamp(x.z, minVal.z, maxVal.z), clamp(x.w, minVal.w, maxVal.w)); } template <typename T, typename U, precision P, template <typename, precision> class vecType> GLM_FUNC_QUALIFIER vecType<T, P> mix ( vecType<T, P> const & x, vecType<T, P> const & y, vecType<U, P> const & a ) { return detail::compute_mix_vector<T, U, P, vecType>::call(x, y, a); } template <typename T, typename U, precision P, template <typename, precision> class vecType> GLM_FUNC_QUALIFIER vecType<T, P> mix ( vecType<T, P> const & x, vecType<T, P> const & y, U const & a ) { return detail::compute_mix_scalar<T, U, P, vecType>::call(x, y, a); } template <typename genTypeT, typename genTypeU> GLM_FUNC_QUALIFIER genTypeT mix ( genTypeT const & x, genTypeT const & y, genTypeU const & a ) { return detail::compute_mix<genTypeT, genTypeU>::call(x, y, a); } // step template <typename genType> GLM_FUNC_QUALIFIER genType step ( genType const & edge, genType const & x ) { return mix(genType(1), genType(0), glm::lessThan(x, edge)); } template <template <typename, precision> class vecType, typename T, precision P> GLM_FUNC_QUALIFIER vecType<T, P> step ( T const & edge, vecType<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'step' only accept floating-point inputs"); return mix(vecType<T, P>(1), vecType<T, P>(0), glm::lessThan(x, vecType<T, P>(edge))); } // smoothstep template <typename genType> GLM_FUNC_QUALIFIER genType smoothstep ( genType const & edge0, genType const & edge1, genType const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'smoothstep' 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, precision P> GLM_FUNC_QUALIFIER detail::tvec2<T, P> smoothstep ( T const & edge0, T const & edge1, detail::tvec2<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'smoothstep' only accept floating-point inputs"); return detail::tvec2<T, P>( smoothstep(edge0, edge1, x.x), smoothstep(edge0, edge1, x.y)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec3<T, P> smoothstep ( T const & edge0, T const & edge1, detail::tvec3<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'smoothstep' only accept floating-point inputs"); return detail::tvec3<T, P>( smoothstep(edge0, edge1, x.x), smoothstep(edge0, edge1, x.y), smoothstep(edge0, edge1, x.z)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec4<T, P> smoothstep ( T const & edge0, T const & edge1, detail::tvec4<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'smoothstep' only accept floating-point inputs"); return detail::tvec4<T, P>( smoothstep(edge0, edge1, x.x), smoothstep(edge0, edge1, x.y), smoothstep(edge0, edge1, x.z), smoothstep(edge0, edge1, x.w)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec2<T, P> smoothstep ( detail::tvec2<T, P> const & edge0, detail::tvec2<T, P> const & edge1, detail::tvec2<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'smoothstep' only accept floating-point inputs"); return detail::tvec2<T, P>( smoothstep(edge0.x, edge1.x, x.x), smoothstep(edge0.y, edge1.y, x.y)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec3<T, P> smoothstep ( detail::tvec3<T, P> const & edge0, detail::tvec3<T, P> const & edge1, detail::tvec3<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'smoothstep' only accept floating-point inputs"); return detail::tvec3<T, P>( smoothstep(edge0.x, edge1.x, x.x), smoothstep(edge0.y, edge1.y, x.y), smoothstep(edge0.z, edge1.z, x.z)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec4<T, P> smoothstep ( detail::tvec4<T, P> const & edge0, detail::tvec4<T, P> const & edge1, detail::tvec4<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'smoothstep' only accept floating-point inputs"); return detail::tvec4<T, P>( 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)); } // TODO: Not working on MinGW... template <typename genType> GLM_FUNC_QUALIFIER bool isnan(genType const & x) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'isnan' only accept floating-point inputs"); # if(GLM_COMPILER & (GLM_COMPILER_VC | GLM_COMPILER_INTEL)) return _isnan(x) != 0; # elif(GLM_COMPILER & (GLM_COMPILER_GCC | GLM_COMPILER_CLANG)) # if(GLM_PLATFORM & GLM_PLATFORM_ANDROID) return _isnan(x) != 0; # else return std::isnan(x); # endif # elif(GLM_COMPILER & GLM_COMPILER_CUDA) return isnan(x) != 0; # else return std::isnan(x); # endif } template <typename T, precision P> GLM_FUNC_QUALIFIER typename detail::tvec2<T, P>::bool_type isnan ( detail::tvec2<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'isnan' only accept floating-point inputs"); return typename detail::tvec2<T, P>::bool_type( isnan(x.x), isnan(x.y)); } template <typename T, precision P> GLM_FUNC_QUALIFIER typename detail::tvec3<T, P>::bool_type isnan ( detail::tvec3<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'isnan' only accept floating-point inputs"); return typename detail::tvec3<T, P>::bool_type( isnan(x.x), isnan(x.y), isnan(x.z)); } template <typename T, precision P> GLM_FUNC_QUALIFIER typename detail::tvec4<T, P>::bool_type isnan ( detail::tvec4<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'isnan' only accept floating-point inputs"); return typename detail::tvec4<T, P>::bool_type( isnan(x.x), isnan(x.y), isnan(x.z), isnan(x.w)); } template <typename genType> GLM_FUNC_QUALIFIER bool isinf( genType const & x) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'isinf' only accept floating-point inputs"); # if(GLM_COMPILER & (GLM_COMPILER_INTEL | GLM_COMPILER_VC)) return _fpclass(x) == _FPCLASS_NINF || _fpclass(x) == _FPCLASS_PINF; # elif(GLM_COMPILER & (GLM_COMPILER_GCC | GLM_COMPILER_CLANG)) # if(GLM_PLATFORM & GLM_PLATFORM_ANDROID) return _isinf(x) != 0; # else return std::isinf(x); # endif # elif(GLM_COMPILER & GLM_COMPILER_CUDA) // http://developer.download.nvidia.com/compute/cuda/4_2/rel/toolkit/docs/online/group__CUDA__MATH__DOUBLE_g13431dd2b40b51f9139cbb7f50c18fab.html#g13431dd2b40b51f9139cbb7f50c18fab return isinf(double(x)) != 0; # else return std::isinf(x); # endif } template <typename T, precision P> GLM_FUNC_QUALIFIER typename detail::tvec2<T, P>::bool_type isinf ( detail::tvec2<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'isinf' only accept floating-point inputs"); return typename detail::tvec2<T, P>::bool_type( isinf(x.x), isinf(x.y)); } template <typename T, precision P> GLM_FUNC_QUALIFIER typename detail::tvec3<T, P>::bool_type isinf ( detail::tvec3<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'isinf' only accept floating-point inputs"); return typename detail::tvec3<T, P>::bool_type( isinf(x.x), isinf(x.y), isinf(x.z)); } template <typename T, precision P> GLM_FUNC_QUALIFIER typename detail::tvec4<T, P>::bool_type isinf ( detail::tvec4<T, P> const & x ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'isinf' only accept floating-point inputs"); return typename detail::tvec4<T, P>::bool_type( isinf(x.x), isinf(x.y), isinf(x.z), isinf(x.w)); } GLM_FUNC_QUALIFIER int floatBitsToInt(float const & v) { return reinterpret_cast<int&>(const_cast<float&>(v)); } template <template <typename, precision> class vecType, precision P> GLM_FUNC_QUALIFIER vecType<int, P> floatBitsToInt(vecType<float, P> const & v) { return reinterpret_cast<vecType<int, P>&>(const_cast<vecType<float, P>&>(v)); } GLM_FUNC_QUALIFIER uint floatBitsToUint(float const & v) { return reinterpret_cast<uint&>(const_cast<float&>(v)); } template <template <typename, precision> class vecType, precision P> GLM_FUNC_QUALIFIER vecType<uint, P> floatBitsToUint(vecType<float, P> const & v) { return reinterpret_cast<vecType<uint, P>&>(const_cast<vecType<float, P>&>(v)); } GLM_FUNC_QUALIFIER float intBitsToFloat(int const & v) { return reinterpret_cast<float&>(const_cast<int&>(v)); } template <template <typename, precision> class vecType, precision P> GLM_FUNC_QUALIFIER vecType<float, P> intBitsToFloat(vecType<int, P> const & v) { return reinterpret_cast<vecType<float, P>&>(const_cast<vecType<int, P>&>(v)); } GLM_FUNC_QUALIFIER float uintBitsToFloat(uint const & v) { return reinterpret_cast<float&>(const_cast<uint&>(v)); } template <template <typename, precision> class vecType, precision P> GLM_FUNC_QUALIFIER vecType<float, P> uintBitsToFloat(vecType<uint, P> const & v) { return reinterpret_cast<vecType<float, P>&>(const_cast<vecType<uint, P>&>(v)); } 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 ) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'frexp' only accept floating-point inputs"); return std::frexp(x, exp); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec2<T, P> frexp ( detail::tvec2<T, P> const & x, detail::tvec2<int, P> & exp ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'frexp' only accept floating-point inputs"); return detail::tvec2<T, P>( frexp(x.x, exp.x), frexp(x.y, exp.y)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec3<T, P> frexp ( detail::tvec3<T, P> const & x, detail::tvec3<int, P> & exp ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'frexp' only accept floating-point inputs"); return detail::tvec3<T, P>( frexp(x.x, exp.x), frexp(x.y, exp.y), frexp(x.z, exp.z)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec4<T, P> frexp ( detail::tvec4<T, P> const & x, detail::tvec4<int, P> & exp ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'frexp' only accept floating-point inputs"); return detail::tvec4<T, P>( frexp(x.x, exp.x), frexp(x.y, exp.y), frexp(x.z, exp.z), frexp(x.w, exp.w)); } template <typename genType, precision P> GLM_FUNC_QUALIFIER genType ldexp ( genType const & x, int const & exp ) { GLM_STATIC_ASSERT( std::numeric_limits<genType>::is_iec559, "'frexp' only accept floating-point inputs"); return std::ldexp(x, exp); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec2<T, P> ldexp ( detail::tvec2<T, P> const & x, detail::tvec2<int, P> const & exp ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'ldexp' only accept floating-point inputs"); return detail::tvec2<T, P>( ldexp(x.x, exp.x), ldexp(x.y, exp.y)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec3<T, P> ldexp ( detail::tvec3<T, P> const & x, detail::tvec3<int, P> const & exp ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'ldexp' only accept floating-point inputs"); return detail::tvec3<T, P>( ldexp(x.x, exp.x), ldexp(x.y, exp.y), ldexp(x.z, exp.z)); } template <typename T, precision P> GLM_FUNC_QUALIFIER detail::tvec4<T, P> ldexp ( detail::tvec4<T, P> const & x, detail::tvec4<int, P> const & exp ) { GLM_STATIC_ASSERT( std::numeric_limits<T>::is_iec559, "'ldexp' only accept floating-point inputs"); return detail::tvec4<T, P>( ldexp(x.x, exp.x), ldexp(x.y, exp.y), ldexp(x.z, exp.z), ldexp(x.w, exp.w)); } }//namespace glm