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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 <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(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(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(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(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(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(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<typename T, precision P, template<typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> next_float(vecType<T, P> const & x)
+ {
+ vecType<T, P> Result(uninitialize);
+ 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<typename T, precision P, template<typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> prev_float(vecType<T, P> const & x)
+ {
+ vecType<T, P> Result(uninitialize);
+ 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<typename T, precision P, template<typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> next_float(vecType<T, P> const & x, vecType<uint, P> const & ulps)
+ {
+ vecType<T, P> Result(uninitialize);
+ 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<typename T, precision P, template<typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> prev_float(vecType<T, P> const & x, vecType<uint, P> const & ulps)
+ {
+ vecType<T, P> Result(uninitialize);
+ 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(temp != y)// && ulp < std::numeric_limits<std::size_t>::max())
+ {
+ ++ulp;
+ temp = next_float(temp);
+ }
+ }
+ else if(y < x)
+ {
+ T temp = y;
+ while(temp != x)// && ulp < std::numeric_limits<std::size_t>::max())
+ {
+ ++ulp;
+ temp = next_float(temp);
+ }
+ }
+ else // ==
+ {
+
+ }
+
+ return ulp;
+ }
+
+ template<typename T, precision P, template<typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<uint, P> float_distance(vecType<T, P> const & x, vecType<T, P> const & y)
+ {
+ vecType<uint, P> Result(uninitialize);
+ 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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