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+///////////////////////////////////////////////////////////////////////////////////////////////////
+// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Created : 2008-08-03
+// Updated : 2010-01-26
+// Licence : This source is under MIT License
+// File : glm/core/func_common.inl
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+ namespace detail
+ {
+ template <typename genFIType, bool /*signed*/>
+ struct Abs_
+ {
+ };
+
+ template <typename genFIType>
+ struct Abs_<genFIType, true>
+ {
+ static genFIType get(genFIType const & x)
+ {
+ GLM_STATIC_ASSERT(
+ detail::type<genFIType>::is_float ||
+ detail::type<genFIType>::is_int, "'abs' only accept floating-point and integer inputs");
+ return x >= genFIType(0) ? x : -x;
+ }
+ };
+
+ template <typename genFIType>
+ struct Abs_<genFIType, false>
+ {
+ static genFIType get(genFIType const & x)
+ {
+ GLM_STATIC_ASSERT(
+ detail::type<genFIType>::is_uint, "'abs' only accept floating-point and integer inputs");
+
+ return x;
+ }
+ };
+ }//namespace detail
+
+ namespace core{
+ namespace function{
+ namespace common{
+
+ // abs
+ template <typename genFIType>
+ GLM_FUNC_QUALIFIER genFIType abs(
+ genFIType const & x)
+ {
+ return detail::Abs_<genFIType, std::numeric_limits<genFIType>::is_signed>::get(x);
+ }
+
+ //template <typename T>
+ //GLM_FUNC_QUALIFIER detail::tvec1<T> abs(
+ // detail::tvec1<T> const & v)
+ //{
+ // return detail::tvec1<T>(
+ // abs(v.x));
+ //}
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<T> abs(
+ detail::tvec2<T> const & v)
+ {
+ return detail::tvec2<T>(
+ abs(v.x),
+ abs(v.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<T> abs(
+ detail::tvec3<T> const & v)
+ {
+ return detail::tvec3<T>(
+ abs(v.x),
+ abs(v.y),
+ abs(v.z));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<T> abs(
+ detail::tvec4<T> const & v)
+ {
+ return detail::tvec4<T>(
+ abs(v.x),
+ abs(v.y),
+ abs(v.z),
+ abs(v.w));
+ }
+
+ // 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(
+ detail::type<genFIType>::is_float ||
+ detail::type<genFIType>::is_int, "'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;
+ }
+
+ template <typename valFIType>
+ GLM_FUNC_QUALIFIER detail::tvec2<valFIType> sign(
+ detail::tvec2<valFIType> const & x)
+ {
+ return detail::tvec2<valFIType>(
+ sign(x.x),
+ sign(x.y));
+ }
+
+ template <typename valFIType>
+ GLM_FUNC_QUALIFIER detail::tvec3<valFIType> sign(
+ detail::tvec3<valFIType> const & x)
+ {
+ return detail::tvec3<valFIType>(
+ sign(x.x),
+ sign(x.y),
+ sign(x.z));
+ }
+
+ template <typename valFIType>
+ GLM_FUNC_QUALIFIER detail::tvec4<valFIType> sign(
+ detail::tvec4<valFIType> const & x)
+ {
+ return detail::tvec4<valFIType>(
+ sign(x.x),
+ sign(x.y),
+ sign(x.z),
+ sign(x.w));
+ }
+
+ // floor
+ template <>
+ GLM_FUNC_QUALIFIER detail::thalf floor<detail::thalf>(detail::thalf const& x)
+ {
+ return detail::thalf(::std::floor(float(x)));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType floor(genType const& x)
+ {
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'floor' only accept floating-point inputs");
+
+ return ::std::floor(x);
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec2<valType> floor(detail::tvec2<valType> const& x)
+ {
+ return detail::tvec2<valType>(
+ floor(x.x),
+ floor(x.y));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec3<valType> floor(detail::tvec3<valType> const& x)
+ {
+ return detail::tvec3<valType>(
+ floor(x.x),
+ floor(x.y),
+ floor(x.z));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec4<valType> floor(detail::tvec4<valType> const& x)
+ {
+ return detail::tvec4<valType>(
+ floor(x.x),
+ floor(x.y),
+ floor(x.z),
+ floor(x.w));
+ }
+
+ // trunc
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType trunc(genType const & x)
+ {
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'trunc' only accept floating-point inputs");
+ return x < 0 ? -floor(-x) : floor(x);
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec2<valType> trunc(detail::tvec2<valType> const & x)
+ {
+ return detail::tvec2<valType>(
+ trunc(x.x),
+ trunc(x.y));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec3<valType> trunc(detail::tvec3<valType> const & x)
+ {
+ return detail::tvec3<valType>(
+ trunc(x.x),
+ trunc(x.y),
+ trunc(x.z));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec4<valType> trunc(detail::tvec4<valType> const & x)
+ {
+ return detail::tvec4<valType>(
+ trunc(x.x),
+ trunc(x.y),
+ trunc(x.z),
+ trunc(x.w));
+ }
+
+ // round
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType round(genType const& x)
+ {
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'round' only accept floating-point inputs");
+
+ return genType(int(x + genType(0.5)));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec2<valType> round(detail::tvec2<valType> const& x)
+ {
+ return detail::tvec2<valType>(
+ round(x.x),
+ round(x.y));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec3<valType> round(detail::tvec3<valType> const& x)
+ {
+ return detail::tvec3<valType>(
+ round(x.x),
+ round(x.y),
+ round(x.z));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec4<valType> round(detail::tvec4<valType> const& x)
+ {
+ return detail::tvec4<valType>(
+ round(x.x),
+ round(x.y),
+ round(x.z),
+ round(x.w));
+ }
+
+ // roundEven
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType roundEven(genType const& x)
+ {
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'roundEven' only accept floating-point inputs");
+
+ return genType(int(x + genType(int(x) % 2)));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec2<valType> roundEven(detail::tvec2<valType> const& x)
+ {
+ return detail::tvec2<valType>(
+ roundEven(x.x),
+ roundEven(x.y));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec3<valType> roundEven(detail::tvec3<valType> const& x)
+ {
+ return detail::tvec3<valType>(
+ roundEven(x.x),
+ roundEven(x.y),
+ roundEven(x.z));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec4<valType> roundEven(detail::tvec4<valType> const& x)
+ {
+ return detail::tvec4<valType>(
+ roundEven(x.x),
+ roundEven(x.y),
+ roundEven(x.z),
+ roundEven(x.w));
+ }
+
+ // ceil
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType ceil(genType const & x)
+ {
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'ceil' only accept floating-point inputs");
+
+ return ::std::ceil(x);
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec2<valType> ceil(detail::tvec2<valType> const & x)
+ {
+ return detail::tvec2<valType>(
+ ceil(x.x),
+ ceil(x.y));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec3<valType> ceil(detail::tvec3<valType> const & x)
+ {
+ return detail::tvec3<valType>(
+ ceil(x.x),
+ ceil(x.y),
+ ceil(x.z));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec4<valType> ceil(detail::tvec4<valType> const & x)
+ {
+ return detail::tvec4<valType>(
+ ceil(x.x),
+ ceil(x.y),
+ ceil(x.z),
+ ceil(x.w));
+ }
+
+ // fract
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fract
+ (
+ genType const & x
+ )
+ {
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'fract' only accept floating-point inputs");
+
+ return x - ::std::floor(x);
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec2<valType> fract
+ (
+ detail::tvec2<valType> const & x
+ )
+ {
+ return detail::tvec2<valType>(
+ fract(x.x),
+ fract(x.y));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec3<valType> fract
+ (
+ detail::tvec3<valType> const & x
+ )
+ {
+ return detail::tvec3<valType>(
+ fract(x.x),
+ fract(x.y),
+ fract(x.z));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec4<valType> fract
+ (
+ detail::tvec4<valType> const & x
+ )
+ {
+ return detail::tvec4<valType>(
+ fract(x.x),
+ fract(x.y),
+ fract(x.z),
+ fract(x.w));
+ }
+
+ // mod
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType mod
+ (
+ genType const & x,
+ genType const & y
+ )
+ {
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'mod' only accept floating-point inputs");
+
+ return x - y * floor(x / y);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<T> mod
+ (
+ detail::tvec2<T> const & x,
+ typename detail::tvec2<T>::value_type const & y
+ )
+ {
+ return detail::tvec2<T>(
+ mod(x.x, y),
+ mod(x.y, y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<T> mod
+ (
+ detail::tvec3<T> const & x,
+ typename detail::tvec3<T>::value_type const & y
+ )
+ {
+ return detail::tvec3<T>(
+ mod(x.x, y),
+ mod(x.y, y),
+ mod(x.z, y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<T> mod
+ (
+ detail::tvec4<T> const & x,
+ typename detail::tvec4<T>::value_type const & y
+ )
+ {
+ return detail::tvec4<T>(
+ mod(x.x, y),
+ mod(x.y, y),
+ mod(x.z, y),
+ mod(x.w, y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<T> mod
+ (
+ detail::tvec2<T> const & x,
+ detail::tvec2<T> const & y
+ )
+ {
+ return detail::tvec2<T>(
+ mod(x.x, y.x),
+ mod(x.y, y.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<T> mod
+ (
+ detail::tvec3<T> const & x,
+ detail::tvec3<T> const & y
+ )
+ {
+ return detail::tvec3<T>(
+ mod(x.x, y.x),
+ mod(x.y, y.y),
+ mod(x.z, y.z));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<T> mod
+ (
+ detail::tvec4<T> const & x,
+ detail::tvec4<T> const & y
+ )
+ {
+ return detail::tvec4<T>(
+ mod(x.x, y.x),
+ mod(x.y, y.y),
+ mod(x.z, y.z),
+ mod(x.w, y.w));
+ }
+
+ // modf
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType modf
+ (
+ genType const & x,
+ genType & i
+ )
+ {
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'modf' only accept floating-point inputs");
+
+ i = glm::floor(x);
+
+ return x - i;
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec2<valType> modf
+ (
+ detail::tvec2<valType> const & x,
+ detail::tvec2<valType> const & y
+ )
+ {
+ return detail::tvec2<valType>(
+ modf(x.x, y.x),
+ modf(x.y, y.y));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec3<valType> modf
+ (
+ detail::tvec3<valType> const & x,
+ detail::tvec3<valType> const & y
+ )
+ {
+ return detail::tvec3<valType>(
+ modf(x.x, y.x),
+ modf(x.y, y.y),
+ modf(x.z, y.z));
+ }
+
+ template <typename valType>
+ GLM_FUNC_QUALIFIER detail::tvec4<valType> modf
+ (
+ detail::tvec4<valType> const & x,
+ detail::tvec4<valType> const & y
+ )
+ {
+ return detail::tvec4<valType>(
+ modf(x.x, y.x),
+ modf(x.y, y.y),
+ modf(x.z, y.z),
+ modf(x.w, y.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(
+ detail::type<genType>::is_float ||
+ detail::type<genType>::is_int ||
+ detail::type<genType>::is_uint, "'min' only accept numbers");
+
+ return x < y ? x : y;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<T> min
+ (
+ detail::tvec2<T> const & x,
+ typename detail::tvec2<T>::value_type const & y
+ )
+ {
+ return detail::tvec2<T>(
+ min(x.x, y),
+ min(x.y, y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<T> min
+ (
+ detail::tvec3<T> const & x,
+ typename detail::tvec3<T>::value_type const & y
+ )
+ {
+ return detail::tvec3<T>(
+ min(x.x, y),
+ min(x.y, y),
+ min(x.z, y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<T> min
+ (
+ detail::tvec4<T> const & x,
+ typename detail::tvec4<T>::value_type const & y
+ )
+ {
+ return detail::tvec4<T>(
+ min(x.x, y),
+ min(x.y, y),
+ min(x.z, y),
+ min(x.w, y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<T> min
+ (
+ detail::tvec2<T> const & x,
+ detail::tvec2<T> const & y
+ )
+ {
+ return detail::tvec2<T>(
+ min(x.x, y.x),
+ min(x.y, y.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<T> min
+ (
+ detail::tvec3<T> const & x,
+ detail::tvec3<T> const & y
+ )
+ {
+ return detail::tvec3<T>(
+ min(x.x, y.x),
+ min(x.y, y.y),
+ min(x.z, y.z));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<T> min
+ (
+ detail::tvec4<T> const & x,
+ detail::tvec4<T> const & y
+ )
+ {
+ return detail::tvec4<T>(
+ min(x.x, y.x),
+ min(x.y, y.y),
+ min(x.z, y.z),
+ min(x.w, y.w));
+ }
+
+ // max
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType max
+ (
+ genType const & x,
+ genType const & y
+ )
+ {
+ GLM_STATIC_ASSERT(
+ detail::type<genType>::is_float ||
+ detail::type<genType>::is_int ||
+ detail::type<genType>::is_uint, "'max' only accept numbers");
+
+ return x > y ? x : y;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<T> max
+ (
+ detail::tvec2<T> const & x,
+ typename detail::tvec2<T>::value_type y
+ )
+ {
+ return detail::tvec2<T>(
+ max(x.x, y),
+ max(x.y, y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<T> max
+ (
+ detail::tvec3<T> const & x,
+ typename detail::tvec3<T>::value_type y
+ )
+ {
+ return detail::tvec3<T>(
+ max(x.x, y),
+ max(x.y, y),
+ max(x.z, y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<T> max
+ (
+ detail::tvec4<T> const & x,
+ typename detail::tvec4<T>::value_type y
+ )
+ {
+ return detail::tvec4<T>(
+ max(x.x, y),
+ max(x.y, y),
+ max(x.z, y),
+ max(x.w, y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<T> max
+ (
+ detail::tvec2<T> const & x,
+ detail::tvec2<T> const & y
+ )
+ {
+ return detail::tvec2<T>(
+ max(x.x, y.x),
+ max(x.y, y.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<T> max
+ (
+ detail::tvec3<T> const & x,
+ detail::tvec3<T> const & y
+ )
+ {
+ return detail::tvec3<T>(
+ max(x.x, y.x),
+ max(x.y, y.y),
+ max(x.z, y.z));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<T> max
+ (
+ detail::tvec4<T> const & x,
+ detail::tvec4<T> const & y)
+ {
+ return detail::tvec4<T>(
+ max(x.x, y.x),
+ max(x.y, y.y),
+ max(x.z, y.z),
+ max(x.w, y.w));
+ }
+
+ // clamp
+ template <typename valType>
+ GLM_FUNC_QUALIFIER valType clamp
+ (
+ valType const & x,
+ valType const & minVal,
+ valType const & maxVal
+ )
+ {
+ GLM_STATIC_ASSERT(
+ detail::type<valType>::is_float ||
+ detail::type<valType>::is_int ||
+ detail::type<valType>::is_uint, "'clamp' only accept numbers");
+
+ // Old implementation, less predictable branching
+ //if(x >= maxVal) return maxVal;
+ //if(x <= minVal) return minVal;
+ //return x;
+ return glm::max(glm::min(x, maxVal), minVal);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<T> clamp
+ (
+ detail::tvec2<T> const & x,
+ typename detail::tvec2<T>::value_type const & minVal,
+ typename detail::tvec2<T>::value_type const & maxVal
+ )
+ {
+ return detail::tvec2<T>(
+ clamp(x.x, minVal, maxVal),
+ clamp(x.y, minVal, maxVal));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<T> clamp
+ (
+ detail::tvec3<T> const & x,
+ typename detail::tvec3<T>::value_type const & minVal,
+ typename detail::tvec3<T>::value_type const & maxVal
+ )
+ {
+ return detail::tvec3<T>(
+ clamp(x.x, minVal, maxVal),
+ clamp(x.y, minVal, maxVal),
+ clamp(x.z, minVal, maxVal));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<T> clamp
+ (
+ detail::tvec4<T> const & x,
+ typename detail::tvec4<T>::value_type const & minVal,
+ typename detail::tvec4<T>::value_type const & maxVal
+ )
+ {
+ return detail::tvec4<T>(
+ clamp(x.x, minVal, maxVal),
+ clamp(x.y, minVal, maxVal),
+ clamp(x.z, minVal, maxVal),
+ clamp(x.w, minVal, maxVal));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<T> clamp
+ (
+ detail::tvec2<T> const & x,
+ detail::tvec2<T> const & minVal,
+ detail::tvec2<T> const & maxVal
+ )
+ {
+ return detail::tvec2<T>(
+ clamp(x.x, minVal.x, maxVal.x),
+ clamp(x.y, minVal.y, maxVal.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<T> clamp
+ (
+ detail::tvec3<T> const & x,
+ detail::tvec3<T> const & minVal,
+ detail::tvec3<T> const & maxVal
+ )
+ {
+ return detail::tvec3<T>(
+ clamp(x.x, minVal.x, maxVal.x),
+ clamp(x.y, minVal.y, maxVal.y),
+ clamp(x.z, minVal.z, maxVal.z));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<T> clamp
+ (
+ detail::tvec4<T> const & x,
+ detail::tvec4<T> const & minVal,
+ detail::tvec4<T> const & maxVal
+ )
+ {
+ return detail::tvec4<T>(
+ 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));
+ }
+
+ // mix
+ template <typename genTypeT, typename genTypeU>
+ GLM_FUNC_QUALIFIER genTypeT mix
+ (
+ genTypeT const & x,
+ genTypeT const & y,
+ genTypeU 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);
+ return genTypeT(genTypeU(x) + a * genTypeU(y - x));
+ }
+
+ template <typename valTypeA, typename valTypeB>
+ GLM_FUNC_QUALIFIER detail::tvec2<valTypeA> mix
+ (
+ detail::tvec2<valTypeA> const & x,
+ detail::tvec2<valTypeA> const & y,
+ valTypeB const & a
+ )
+ {
+ return detail::tvec2<valTypeA>(
+ detail::tvec2<valTypeB>(x) + a * detail::tvec2<valTypeB>(y - x));
+ }
+
+ template <typename valTypeA, typename valTypeB>
+ GLM_FUNC_QUALIFIER detail::tvec3<valTypeA> mix
+ (
+ detail::tvec3<valTypeA> const & x,
+ detail::tvec3<valTypeA> const & y,
+ 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,
+ valTypeB const & a
+ )
+ {
+ return detail::tvec4<valTypeA>(
+ detail::tvec4<valTypeB>(x) + a * detail::tvec4<valTypeB>(y - x));
+ }
+
+ template <typename valTypeA, typename valTypeB>
+ GLM_FUNC_QUALIFIER detail::tvec2<valTypeA> mix
+ (
+ detail::tvec2<valTypeA> const & x,
+ detail::tvec2<valTypeA> const & y,
+ detail::tvec2<valTypeB> const & a
+ )
+ {
+ return detail::tvec2<valTypeA>(
+ detail::tvec2<valTypeB>(x) + a * detail::tvec2<valTypeB>(y - x));
+ }
+
+ 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 a
+ )
+ {
+ GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'mix' only accept floating-point inputs");
+
+ return a ? x : y;
+ }
+
+ 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] ? x[i] : y[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] ? x[i] : y[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] ? x[i] : y[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));
+#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);
+#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(
+ isnan(x.x),
+ isnan(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(
+ isnan(x.x),
+ isnan(x.y),
+ isnan(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(
+ isnan(x.x),
+ isnan(x.y),
+ isnan(x.z),
+ isnan(x.w));
+ }
+
+ GLM_FUNC_QUALIFIER int floatBitsToInt(float const & value)
+ {
+ union
+ {
+ float f;
+ int i;
+ } fi;
+
+ fi.f = value;
+ return fi.i;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<int> floatBitsToInt
+ (
+ detail::tvec2<T> const & value
+ )
+ {
+ return detail::tvec2<T>(
+ floatBitsToInt(value.x),
+ floatBitsToInt(value.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<int> floatBitsToInt
+ (
+ detail::tvec3<T> const & value
+ )
+ {
+ return detail::tvec3<T>(
+ floatBitsToInt(value.x),
+ floatBitsToInt(value.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<int> floatBitsToInt
+ (
+ detail::tvec4<T> const & value
+ )
+ {
+ return detail::tvec4<T>(
+ floatBitsToInt(value.x),
+ floatBitsToInt(value.y));
+ }
+
+ GLM_FUNC_QUALIFIER uint floatBitsToUint(float const & value)
+ {
+ union
+ {
+ float f;
+ uint u;
+ } fu;
+
+ fu.f = value;
+ return fu.u;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<uint> floatBitsToUint
+ (
+ detail::tvec2<T> const & value
+ )
+ {
+ return detail::tvec2<T>(
+ floatBitsToUint(value.x),
+ floatBitsToUint(value.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<uint> floatBitsToUint
+ (
+ detail::tvec3<T> const & value
+ )
+ {
+ return detail::tvec3<T>(
+ floatBitsToUint(value.x),
+ floatBitsToUint(value.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<uint> floatBitsToUint
+ (
+ detail::tvec4<T> const & value
+ )
+ {
+ return detail::tvec4<T>(
+ floatBitsToUint(value.x),
+ floatBitsToUint(value.y));
+ }
+
+ GLM_FUNC_QUALIFIER float intBitsToFloat(int const & value)
+ {
+ union
+ {
+ float f;
+ int i;
+ } fi;
+
+ fi.i = value;
+ return fi.f;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<float> intBitsToFloat
+ (
+ detail::tvec2<T> const & value
+ )
+ {
+ return detail::tvec2<T>(
+ intBitsToFloat(value.x),
+ intBitsToFloat(value.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<float> intBitsToFloat
+ (
+ detail::tvec3<T> const & value
+ )
+ {
+ return detail::tvec3<T>(
+ intBitsToFloat(value.x),
+ intBitsToFloat(value.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<float> intBitsToFloat
+ (
+ detail::tvec4<T> const & value
+ )
+ {
+ return detail::tvec4<T>(
+ intBitsToFloat(value.x),
+ intBitsToFloat(value.y));
+ }
+
+ GLM_FUNC_QUALIFIER float uintBitsToFloat(uint const & value)
+ {
+ union
+ {
+ float f;
+ uint u;
+ } fu;
+
+ fu.u = value;
+ return fu.f;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec2<float> uintBitsToFloat
+ (
+ detail::tvec2<T> const & value
+ )
+ {
+ return detail::tvec2<T>(
+ uintBitsToFloat(value.x),
+ uintBitsToFloat(value.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec3<float> uintBitsToFloat
+ (
+ detail::tvec3<T> const & value
+ )
+ {
+ return detail::tvec3<T>(
+ uintBitsToFloat(value.x),
+ uintBitsToFloat(value.y));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER detail::tvec4<float> uintBitsToFloat
+ (
+ detail::tvec4<T> const & value
+ )
+ {
+ return detail::tvec4<T>(
+ uintBitsToFloat(value.x),
+ uintBitsToFloat(value.y));
+ }
+
+ 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 common
+ }//namespace function
+ }//namespace core
+}//namespace glm