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-rw-r--r--external/include/glm/gtc/ulp.inl339
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diff --git a/external/include/glm/gtc/ulp.inl b/external/include/glm/gtc/ulp.inl
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--- a/external/include/glm/gtc/ulp.inl
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-/// @ref gtc_ulp
-/// @file glm/gtc/ulp.inl
-///
-/// Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
-///
-/// Developed at SunPro, a Sun Microsystems, Inc. business.
-/// Permission to use, copy, modify, and distribute this
-/// software is freely granted, provided that this notice
-/// is preserved.
-
-#include "../detail/type_int.hpp"
-#include "epsilon.hpp"
-#include <cmath>
-#include <cfloat>
-#include <limits>
-
-#if(GLM_COMPILER & GLM_COMPILER_VC)
-# pragma warning(push)
-# pragma warning(disable : 4127)
-#endif
-
-typedef union
-{
- float value;
- /* FIXME: Assumes 32 bit int. */
- unsigned int word;
-} ieee_float_shape_type;
-
-typedef union
-{
- double value;
- struct
- {
- glm::detail::int32 lsw;
- glm::detail::int32 msw;
- } parts;
-} ieee_double_shape_type;
-
-#define GLM_EXTRACT_WORDS(ix0,ix1,d) \
- do { \
- ieee_double_shape_type ew_u; \
- ew_u.value = (d); \
- (ix0) = ew_u.parts.msw; \
- (ix1) = ew_u.parts.lsw; \
- } while (0)
-
-#define GLM_GET_FLOAT_WORD(i,d) \
- do { \
- ieee_float_shape_type gf_u; \
- gf_u.value = (d); \
- (i) = gf_u.word; \
- } while (0)
-
-#define GLM_SET_FLOAT_WORD(d,i) \
- do { \
- ieee_float_shape_type sf_u; \
- sf_u.word = (i); \
- (d) = sf_u.value; \
- } while (0)
-
-#define GLM_INSERT_WORDS(d,ix0,ix1) \
- do { \
- ieee_double_shape_type iw_u; \
- iw_u.parts.msw = (ix0); \
- iw_u.parts.lsw = (ix1); \
- (d) = iw_u.value; \
- } while (0)
-
-namespace glm{
-namespace detail
-{
- GLM_FUNC_QUALIFIER float nextafterf(float x, float y)
- {
- volatile float t;
- glm::detail::int32 hx, hy, ix, iy;
-
- GLM_GET_FLOAT_WORD(hx, x);
- GLM_GET_FLOAT_WORD(hy, y);
- ix = hx&0x7fffffff; // |x|
- iy = hy&0x7fffffff; // |y|
-
- if((ix>0x7f800000) || // x is nan
- (iy>0x7f800000)) // y is nan
- return x+y;
- if(compute_equal<float>::call(x, y))
- return y; // x=y, return y
- if(ix==0)
- { // x == 0
- GLM_SET_FLOAT_WORD(x,(hy&0x80000000)|1);// return +-minsubnormal
- t = x*x;
- if(detail::compute_equal<float>::call(t, x))
- return t;
- else
- return x; // raise underflow flag
- }
- if(hx>=0)
- { // x > 0
- if(hx>hy) // x > y, x -= ulp
- hx -= 1;
- else // x < y, x += ulp
- hx += 1;
- }
- else
- { // x < 0
- if(hy>=0||hx>hy) // x < y, x -= ulp
- hx -= 1;
- else // x > y, x += ulp
- hx += 1;
- }
- hy = hx&0x7f800000;
- if(hy>=0x7f800000)
- return x+x; // overflow
- if(hy<0x00800000) // underflow
- {
- t = x*x;
- if(!detail::compute_equal<float>::call(t, x))
- { // raise underflow flag
- GLM_SET_FLOAT_WORD(y,hx);
- return y;
- }
- }
- GLM_SET_FLOAT_WORD(x,hx);
- return x;
- }
-
- GLM_FUNC_QUALIFIER double nextafter(double x, double y)
- {
- volatile double t;
- glm::detail::int32 hx, hy, ix, iy;
- glm::detail::uint32 lx, ly;
-
- GLM_EXTRACT_WORDS(hx, lx, x);
- GLM_EXTRACT_WORDS(hy, ly, y);
- ix = hx & 0x7fffffff; // |x|
- iy = hy & 0x7fffffff; // |y|
-
- if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || // x is nan
- ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0)) // y is nan
- return x+y;
- if(detail::compute_equal<double>::call(x, y))
- return y; // x=y, return y
- if((ix|lx)==0)
- { // x == 0
- GLM_INSERT_WORDS(x, hy & 0x80000000, 1); // return +-minsubnormal
- t = x*x;
- if(detail::compute_equal<double>::call(t, x))
- return t;
- else
- return x; // raise underflow flag
- }
- if(hx>=0) { // x > 0
- if(hx>hy||((hx==hy)&&(lx>ly))) { // x > y, x -= ulp
- if(lx==0) hx -= 1;
- lx -= 1;
- } else { // x < y, x += ulp
- lx += 1;
- if(lx==0) hx += 1;
- }
- } else { // x < 0
- if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){// x < y, x -= ulp
- if(lx==0) hx -= 1;
- lx -= 1;
- } else { // x > y, x += ulp
- lx += 1;
- if(lx==0) hx += 1;
- }
- }
- hy = hx&0x7ff00000;
- if(hy>=0x7ff00000)
- return x+x; // overflow
- if(hy<0x00100000)
- { // underflow
- t = x*x;
- if(!detail::compute_equal<double>::call(t, x))
- { // raise underflow flag
- GLM_INSERT_WORDS(y,hx,lx);
- return y;
- }
- }
- GLM_INSERT_WORDS(x,hx,lx);
- return x;
- }
-}//namespace detail
-}//namespace glm
-
-#if(GLM_COMPILER & GLM_COMPILER_VC)
-# pragma warning(pop)
-#endif
-
-namespace glm
-{
- template<>
- GLM_FUNC_QUALIFIER float next_float(float const& x)
- {
-# if GLM_HAS_CXX11_STL
- return std::nextafter(x, std::numeric_limits<float>::max());
-# elif((GLM_COMPILER & GLM_COMPILER_VC) || ((GLM_COMPILER & GLM_COMPILER_INTEL) && (GLM_PLATFORM & GLM_PLATFORM_WINDOWS)))
- return detail::nextafterf(x, FLT_MAX);
-# elif(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
- return __builtin_nextafterf(x, FLT_MAX);
-# else
- return nextafterf(x, FLT_MAX);
-# endif
- }
-
- template<>
- GLM_FUNC_QUALIFIER double next_float(double const& x)
- {
-# if GLM_HAS_CXX11_STL
- return std::nextafter(x, std::numeric_limits<double>::max());
-# elif((GLM_COMPILER & GLM_COMPILER_VC) || ((GLM_COMPILER & GLM_COMPILER_INTEL) && (GLM_PLATFORM & GLM_PLATFORM_WINDOWS)))
- return detail::nextafter(x, std::numeric_limits<double>::max());
-# elif(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
- return __builtin_nextafter(x, FLT_MAX);
-# else
- return nextafter(x, DBL_MAX);
-# endif
- }
-
- template<length_t L, typename T, qualifier Q>
- GLM_FUNC_QUALIFIER vec<L, T, Q> next_float(vec<L, T, Q> const& x)
- {
- vec<L, T, Q> Result;
- for(length_t i = 0, n = Result.length(); i < n; ++i)
- Result[i] = next_float(x[i]);
- return Result;
- }
-
- GLM_FUNC_QUALIFIER float prev_float(float const& x)
- {
-# if GLM_HAS_CXX11_STL
- return std::nextafter(x, std::numeric_limits<float>::min());
-# elif((GLM_COMPILER & GLM_COMPILER_VC) || ((GLM_COMPILER & GLM_COMPILER_INTEL) && (GLM_PLATFORM & GLM_PLATFORM_WINDOWS)))
- return detail::nextafterf(x, FLT_MIN);
-# elif(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
- return __builtin_nextafterf(x, FLT_MIN);
-# else
- return nextafterf(x, FLT_MIN);
-# endif
- }
-
- GLM_FUNC_QUALIFIER double prev_float(double const& x)
- {
-# if GLM_HAS_CXX11_STL
- return std::nextafter(x, std::numeric_limits<double>::min());
-# elif((GLM_COMPILER & GLM_COMPILER_VC) || ((GLM_COMPILER & GLM_COMPILER_INTEL) && (GLM_PLATFORM & GLM_PLATFORM_WINDOWS)))
- return _nextafter(x, DBL_MIN);
-# elif(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
- return __builtin_nextafter(x, DBL_MIN);
-# else
- return nextafter(x, DBL_MIN);
-# endif
- }
-
- template<length_t L, typename T, qualifier Q>
- GLM_FUNC_QUALIFIER vec<L, T, Q> prev_float(vec<L, T, Q> const& x)
- {
- vec<L, T, Q> Result;
- for(length_t i = 0, n = Result.length(); i < n; ++i)
- Result[i] = prev_float(x[i]);
- return Result;
- }
-
- template<typename T>
- GLM_FUNC_QUALIFIER T next_float(T const& x, uint const& ulps)
- {
- T temp = x;
- for(uint i = 0; i < ulps; ++i)
- temp = next_float(temp);
- return temp;
- }
-
- template<length_t L, typename T, qualifier Q>
- GLM_FUNC_QUALIFIER vec<L, T, Q> next_float(vec<L, T, Q> const& x, vec<L, uint, Q> const& ulps)
- {
- vec<L, T, Q> Result;
- for(length_t i = 0, n = Result.length(); i < n; ++i)
- Result[i] = next_float(x[i], ulps[i]);
- return Result;
- }
-
- template<typename T>
- GLM_FUNC_QUALIFIER T prev_float(T const& x, uint const& ulps)
- {
- T temp = x;
- for(uint i = 0; i < ulps; ++i)
- temp = prev_float(temp);
- return temp;
- }
-
- template<length_t L, typename T, qualifier Q>
- GLM_FUNC_QUALIFIER vec<L, T, Q> prev_float(vec<L, T, Q> const& x, vec<L, uint, Q> const& ulps)
- {
- vec<L, T, Q> Result;
- for(length_t i = 0, n = Result.length(); i < n; ++i)
- Result[i] = prev_float(x[i], ulps[i]);
- return Result;
- }
-
- template<typename T>
- GLM_FUNC_QUALIFIER uint float_distance(T const& x, T const& y)
- {
- uint ulp = 0;
-
- if(x < y)
- {
- T temp = x;
- while(glm::epsilonNotEqual(temp, y, glm::epsilon<T>()))// && ulp < std::numeric_limits<std::size_t>::max())
- {
- ++ulp;
- temp = next_float(temp);
- }
- }
- else if(y < x)
- {
- T temp = y;
- while(glm::epsilonNotEqual(temp, x, glm::epsilon<T>()))// && ulp < std::numeric_limits<std::size_t>::max())
- {
- ++ulp;
- temp = next_float(temp);
- }
- }
- else // ==
- {
-
- }
-
- return ulp;
- }
-
- template<length_t L, typename T, qualifier Q>
- GLM_FUNC_QUALIFIER vec<L, uint, Q> float_distance(vec<L, T, Q> const& x, vec<L, T, Q> const& y)
- {
- vec<L, uint, Q> Result;
- for(length_t i = 0, n = Result.length(); i < n; ++i)
- Result[i] = float_distance(x[i], y[i]);
- return Result;
- }
-}//namespace glm
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