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396 lines
11 KiB
C++
396 lines
11 KiB
C++
///////////////////////////////////////////////////////////////////////////////////////////////////
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// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Created : 2011-03-07
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// Updated : 2011-04-26
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// Licence : This source is under MIT License
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// File : glm/gtx/ulp.inl
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///////////////////////////////////////////////////////////////////////////////////////////////////
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#include <cmath>
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#include <cfloat>
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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typedef union
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{
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float value;
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/* FIXME: Assumes 32 bit int. */
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unsigned int word;
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} ieee_float_shape_type;
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typedef union
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{
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double value;
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struct
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{
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glm::detail::int32 lsw;
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glm::detail::int32 msw;
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} parts;
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} ieee_double_shape_type;
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#define GLM_EXTRACT_WORDS(ix0,ix1,d) \
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do { \
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ieee_double_shape_type ew_u; \
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ew_u.value = (d); \
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(ix0) = ew_u.parts.msw; \
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(ix1) = ew_u.parts.lsw; \
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} while (0)
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#define GLM_GET_FLOAT_WORD(i,d) \
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do { \
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ieee_float_shape_type gf_u; \
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gf_u.value = (d); \
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(i) = gf_u.word; \
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} while (0)
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#define GLM_SET_FLOAT_WORD(d,i) \
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do { \
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ieee_float_shape_type sf_u; \
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sf_u.word = (i); \
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(d) = sf_u.value; \
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} while (0)
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#define GLM_INSERT_WORDS(d,ix0,ix1) \
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do { \
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ieee_double_shape_type iw_u; \
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iw_u.parts.msw = (ix0); \
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iw_u.parts.lsw = (ix1); \
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(d) = iw_u.value; \
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} while (0)
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namespace glm{
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namespace detail
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{
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GLM_FUNC_QUALIFIER float nextafterf(float x, float y)
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{
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volatile float t;
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glm::detail::int32 hx, hy, ix, iy;
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GLM_GET_FLOAT_WORD(hx,x);
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GLM_GET_FLOAT_WORD(hy,y);
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ix = hx&0x7fffffff; // |x|
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iy = hy&0x7fffffff; // |y|
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if((ix>0x7f800000) || // x is nan
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(iy>0x7f800000)) // y is nan
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return x+y;
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if(x==y) return y; // x=y, return y
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if(ix==0) { // x == 0
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GLM_SET_FLOAT_WORD(x,(hy&0x80000000)|1);// return +-minsubnormal
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t = x*x;
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if(t==x) return t; else return x; // raise underflow flag
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}
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if(hx>=0) { // x > 0
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if(hx>hy) { // x > y, x -= ulp
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hx -= 1;
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} else { // x < y, x += ulp
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hx += 1;
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}
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} else { // x < 0
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if(hy>=0||hx>hy){ // x < y, x -= ulp
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hx -= 1;
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} else { // x > y, x += ulp
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hx += 1;
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}
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}
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hy = hx&0x7f800000;
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if(hy>=0x7f800000) return x+x; // overflow
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if(hy<0x00800000) { // underflow
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t = x*x;
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if(t!=x) { // raise underflow flag
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GLM_SET_FLOAT_WORD(y,hx);
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return y;
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}
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}
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GLM_SET_FLOAT_WORD(x,hx);
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return x;
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}
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GLM_FUNC_QUALIFIER double nextafter(double x, double y)
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{
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volatile double t;
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glm::detail::int32 hx, hy, ix, iy;
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glm::detail::uint32 lx, ly;
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GLM_EXTRACT_WORDS(hx, lx, x);
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GLM_EXTRACT_WORDS(hy, ly, y);
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ix = hx & 0x7fffffff; // |x|
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iy = hy & 0x7fffffff; // |y|
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if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || // x is nan
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((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0)) // y is nan
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return x+y;
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if(x==y) return y; // x=y, return y
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if((ix|lx)==0) { // x == 0
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GLM_INSERT_WORDS(x, hy & 0x80000000, 1); // return +-minsubnormal
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t = x*x;
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if(t==x) return t; else return x; // raise underflow flag
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}
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if(hx>=0) { // x > 0
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if(hx>hy||((hx==hy)&&(lx>ly))) { // x > y, x -= ulp
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if(lx==0) hx -= 1;
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lx -= 1;
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} else { // x < y, x += ulp
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lx += 1;
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if(lx==0) hx += 1;
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}
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} else { // x < 0
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if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){// x < y, x -= ulp
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if(lx==0) hx -= 1;
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lx -= 1;
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} else { // x > y, x += ulp
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lx += 1;
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if(lx==0) hx += 1;
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}
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}
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hy = hx&0x7ff00000;
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if(hy>=0x7ff00000) return x+x; // overflow
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if(hy<0x00100000) { // underflow
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t = x*x;
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if(t!=x) { // raise underflow flag
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GLM_INSERT_WORDS(y,hx,lx);
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return y;
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}
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}
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GLM_INSERT_WORDS(x,hx,lx);
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return x;
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}
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}//namespace detail
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}//namespace glm
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#if(GLM_COMPILER & GLM_COMPILER_VC)
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# define GLM_NEXT_AFTER_FLT(x, toward) glm::detail::nextafterf((x), (toward))
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# define GLM_NEXT_AFTER_DBL(x, toward) _nextafter((x), (toward))
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#else
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# define GLM_NEXT_AFTER_FLT(x, toward) nextafterf((x), (toward))
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# define GLM_NEXT_AFTER_DBL(x, toward) nextafter((x), (toward))
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#endif
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namespace glm{
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namespace gtx{
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namespace ulp
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{
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GLM_FUNC_QUALIFIER float next_float(float const & x)
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{
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return GLM_NEXT_AFTER_FLT(x, std::numeric_limits<float>::max());
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}
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GLM_FUNC_QUALIFIER double next_float(double const & x)
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{
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return GLM_NEXT_AFTER_DBL(x, std::numeric_limits<double>::max());
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}
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template<typename T, template<typename> class vecType>
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GLM_FUNC_QUALIFIER vecType<T> next_float(vecType<T> const & x)
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{
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vecType<T> Result;
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for(std::size_t i = 0; i < Result.length(); ++i)
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Result[i] = next_float(x[i]);
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return Result;
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}
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GLM_FUNC_QUALIFIER float prev_float(float const & x)
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{
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return GLM_NEXT_AFTER_FLT(x, std::numeric_limits<float>::min());
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}
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GLM_FUNC_QUALIFIER double prev_float(double const & x)
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{
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return GLM_NEXT_AFTER_DBL(x, std::numeric_limits<double>::min());
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}
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template<typename T, template<typename> class vecType>
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GLM_FUNC_QUALIFIER vecType<T> prev_float(vecType<T> const & x)
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{
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vecType<T> Result;
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for(std::size_t i = 0; i < Result.length(); ++i)
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Result[i] = prev_float(x[i]);
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return Result;
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}
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template <typename T>
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GLM_FUNC_QUALIFIER T next_float(T const & x, uint const & ulps)
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{
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T temp = x;
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for(std::size_t i = 0; i < ulps; ++i)
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temp = next_float(temp);
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return temp;
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}
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template<typename T, template<typename> class vecType>
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GLM_FUNC_QUALIFIER vecType<T> next_float(vecType<T> const & x, vecType<uint> const & ulps)
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{
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vecType<T> Result;
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for(std::size_t i = 0; i < Result.length(); ++i)
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Result[i] = next_float(x[i], ulps[i]);
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return Result;
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}
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template <typename T>
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GLM_FUNC_QUALIFIER T prev_float(T const & x, uint const & ulps)
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{
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T temp = x;
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for(std::size_t i = 0; i < ulps; ++i)
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temp = prev_float(temp);
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return temp;
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}
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template<typename T, template<typename> class vecType>
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GLM_FUNC_QUALIFIER vecType<T> prev_float(vecType<T> const & x, vecType<uint> const & ulps)
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{
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vecType<T> Result;
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for(std::size_t i = 0; i < Result.length(); ++i)
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Result[i] = prev_float(x[i], ulps[i]);
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return Result;
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}
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template <typename T>
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GLM_FUNC_QUALIFIER uint float_distance(T const & x, T const & y)
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{
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uint ulp = 0;
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if(x < y)
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{
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T temp = x;
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while(temp != y && ulp < std::numeric_limits<std::size_t>::max())
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{
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++ulp;
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temp = next_float(temp);
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}
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}
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else if(y < x)
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{
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T temp = y;
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while(temp != x && ulp < std::numeric_limits<std::size_t>::max())
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{
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++ulp;
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temp = next_float(temp);
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}
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}
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else // ==
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{
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}
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return ulp;
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}
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template<typename T, template<typename> class vecType>
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GLM_FUNC_QUALIFIER vecType<uint> float_distance(vecType<T> const & x, vecType<T> const & y)
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{
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vecType<uint> Result;
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for(std::size_t i = 0; i < Result.length(); ++i)
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Result[i] = float_distance(x[i], y[i]);
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return Result;
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}
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/*
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inline std::size_t ulp
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(
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detail::thalf const & a,
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detail::thalf const & b
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)
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{
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std::size_t Count = 0;
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float TempA(a);
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float TempB(b);
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//while((TempA = _nextafterf(TempA, TempB)) != TempB)
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++Count;
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return Count;
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}
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inline std::size_t ulp
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(
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float const & a,
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float const & b
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)
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{
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std::size_t Count = 0;
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float Temp = a;
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//while((Temp = _nextafterf(Temp, b)) != b)
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{
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std::cout << Temp << " " << b << std::endl;
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++Count;
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}
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return Count;
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}
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inline std::size_t ulp
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(
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double const & a,
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double const & b
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)
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{
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std::size_t Count = 0;
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double Temp = a;
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//while((Temp = _nextafter(Temp, b)) != b)
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{
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std::cout << Temp << " " << b << std::endl;
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++Count;
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}
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return Count;
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}
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template <typename T>
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inline std::size_t ulp
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(
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detail::tvec2<T> const & a,
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detail::tvec2<T> const & b
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)
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{
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std::size_t ulps[] =
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{
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ulp(a[0], b[0]),
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ulp(a[1], b[1])
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};
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return glm::max(ulps[0], ulps[1]);
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}
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template <typename T>
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inline std::size_t ulp
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(
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detail::tvec3<T> const & a,
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detail::tvec3<T> const & b
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)
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{
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std::size_t ulps[] =
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{
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ulp(a[0], b[0]),
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ulp(a[1], b[1]),
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ulp(a[2], b[2])
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};
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return glm::max(glm::max(ulps[0], ulps[1]), ulps[2]);
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}
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template <typename T>
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inline std::size_t ulp
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(
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detail::tvec4<T> const & a,
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detail::tvec4<T> const & b
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)
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{
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std::size_t ulps[] =
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{
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ulp(a[0], b[0]),
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ulp(a[1], b[1]),
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ulp(a[2], b[2]),
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ulp(a[3], b[3])
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};
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return glm::max(glm::max(ulps[0], ulps[1]), glm::max(ulps[2], ulps[3]));
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}
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*/
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}//namespace ulp
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}//namespace gtx
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}//namespace glm
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