2005-03-13 19:54:06 +03:00
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/* Native implementation of soft float functions */
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#include <math.h>
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2006-05-01 17:58:07 +04:00
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2009-03-08 11:23:32 +03:00
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#if (defined(HOST_BSD) && !defined(__APPLE__)) || defined(HOST_SOLARIS)
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2005-03-13 19:54:06 +03:00
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#include <ieeefp.h>
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2006-05-01 17:58:07 +04:00
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#define fabsf(f) ((float)fabs(f))
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2005-03-13 19:54:06 +03:00
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#else
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#include <fenv.h>
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#endif
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2006-05-01 17:58:07 +04:00
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2008-11-22 23:17:37 +03:00
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#if defined(__OpenBSD__) || defined(__NetBSD__)
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2008-08-24 14:29:29 +04:00
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#include <sys/param.h>
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#endif
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2006-05-01 17:58:07 +04:00
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/*
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* Define some C99-7.12.3 classification macros and
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* some C99-.12.4 for Solaris systems OS less than 10,
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* or Solaris 10 systems running GCC 3.x or less.
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* Solaris 10 with GCC4 does not need these macros as they
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* are defined in <iso/math_c99.h> with a compiler directive
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*/
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2008-08-15 22:33:42 +04:00
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#if defined(HOST_SOLARIS) && (( HOST_SOLARIS <= 9 ) || ((HOST_SOLARIS >= 10) \
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2009-04-13 20:27:08 +04:00
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&& (__GNUC__ < 4))) \
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2008-08-24 14:29:29 +04:00
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|| (defined(__OpenBSD__) && (OpenBSD < 200811))
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2006-05-01 17:58:07 +04:00
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/*
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* C99 7.12.3 classification macros
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* and
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* C99 7.12.14 comparison macros
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*
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* ... do not work on Solaris 10 using GNU CC 3.4.x.
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* Try to workaround the missing / broken C99 math macros.
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*/
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2008-08-15 22:33:42 +04:00
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#if defined(__OpenBSD__)
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#define unordered(x, y) (isnan(x) || isnan(y))
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#endif
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2006-05-01 17:58:07 +04:00
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2008-11-22 23:17:37 +03:00
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#ifdef __NetBSD__
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#ifndef isgreater
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#define isgreater(x, y) __builtin_isgreater(x, y)
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#endif
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#ifndef isgreaterequal
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#define isgreaterequal(x, y) __builtin_isgreaterequal(x, y)
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#endif
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#ifndef isless
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#define isless(x, y) __builtin_isless(x, y)
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#endif
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#ifndef islessequal
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#define islessequal(x, y) __builtin_islessequal(x, y)
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#endif
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#ifndef isunordered
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#define isunordered(x, y) __builtin_isunordered(x, y)
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#endif
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#endif
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2006-05-01 17:58:07 +04:00
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#define isnormal(x) (fpclass(x) >= FP_NZERO)
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#define isgreater(x, y) ((!unordered(x, y)) && ((x) > (y)))
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#define isgreaterequal(x, y) ((!unordered(x, y)) && ((x) >= (y)))
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#define isless(x, y) ((!unordered(x, y)) && ((x) < (y)))
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#define islessequal(x, y) ((!unordered(x, y)) && ((x) <= (y)))
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#define isunordered(x,y) unordered(x, y)
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2006-04-26 02:36:06 +04:00
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#endif
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2005-03-13 19:54:06 +03:00
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2007-04-18 01:57:02 +04:00
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#if defined(__sun__) && !defined(NEED_LIBSUNMATH)
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#ifndef isnan
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# define isnan(x) \
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(sizeof (x) == sizeof (long double) ? isnan_ld (x) \
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: sizeof (x) == sizeof (double) ? isnan_d (x) \
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: isnan_f (x))
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static inline int isnan_f (float x) { return x != x; }
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static inline int isnan_d (double x) { return x != x; }
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static inline int isnan_ld (long double x) { return x != x; }
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#endif
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#ifndef isinf
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# define isinf(x) \
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(sizeof (x) == sizeof (long double) ? isinf_ld (x) \
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: sizeof (x) == sizeof (double) ? isinf_d (x) \
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: isinf_f (x))
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static inline int isinf_f (float x) { return isnan (x - x); }
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static inline int isinf_d (double x) { return isnan (x - x); }
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static inline int isinf_ld (long double x) { return isnan (x - x); }
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#endif
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#endif
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2005-03-13 19:54:06 +03:00
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typedef float float32;
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typedef double float64;
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#ifdef FLOATX80
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typedef long double floatx80;
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#endif
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typedef union {
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float32 f;
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uint32_t i;
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} float32u;
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typedef union {
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float64 f;
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uint64_t i;
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} float64u;
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#ifdef FLOATX80
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typedef union {
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floatx80 f;
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struct {
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uint64_t low;
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uint16_t high;
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} i;
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} floatx80u;
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#endif
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE floating-point rounding mode.
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*----------------------------------------------------------------------------*/
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2009-03-08 11:23:32 +03:00
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#if (defined(HOST_BSD) && !defined(__APPLE__)) || defined(HOST_SOLARIS)
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2008-08-15 22:33:42 +04:00
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#if defined(__OpenBSD__)
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#define FE_RM FP_RM
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#define FE_RP FP_RP
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#define FE_RZ FP_RZ
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#endif
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2005-03-13 19:54:06 +03:00
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enum {
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float_round_nearest_even = FP_RN,
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2006-04-28 19:26:51 +04:00
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float_round_down = FP_RM,
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float_round_up = FP_RP,
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float_round_to_zero = FP_RZ
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2005-03-13 19:54:06 +03:00
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};
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#elif defined(__arm__)
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enum {
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float_round_nearest_even = 0,
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float_round_down = 1,
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float_round_up = 2,
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float_round_to_zero = 3
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};
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#else
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enum {
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float_round_nearest_even = FE_TONEAREST,
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float_round_down = FE_DOWNWARD,
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float_round_up = FE_UPWARD,
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float_round_to_zero = FE_TOWARDZERO
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};
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#endif
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typedef struct float_status {
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2008-12-21 02:41:32 +03:00
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int float_rounding_mode;
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2005-03-13 19:54:06 +03:00
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#ifdef FLOATX80
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2008-12-21 02:41:32 +03:00
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int floatx80_rounding_precision;
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2005-03-13 19:54:06 +03:00
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#endif
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} float_status;
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void set_float_rounding_mode(int val STATUS_PARAM);
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#ifdef FLOATX80
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void set_floatx80_rounding_precision(int val STATUS_PARAM);
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#endif
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE integer-to-floating-point conversion routines.
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*----------------------------------------------------------------------------*/
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float32 int32_to_float32( int STATUS_PARAM);
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2007-03-21 01:10:42 +03:00
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float32 uint32_to_float32( unsigned int STATUS_PARAM);
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2005-03-13 19:54:06 +03:00
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float64 int32_to_float64( int STATUS_PARAM);
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2007-03-21 01:10:42 +03:00
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float64 uint32_to_float64( unsigned int STATUS_PARAM);
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2005-03-13 19:54:06 +03:00
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#ifdef FLOATX80
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floatx80 int32_to_floatx80( int STATUS_PARAM);
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#endif
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#ifdef FLOAT128
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float128 int32_to_float128( int STATUS_PARAM);
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#endif
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float32 int64_to_float32( int64_t STATUS_PARAM);
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2007-03-21 01:10:42 +03:00
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float32 uint64_to_float32( uint64_t STATUS_PARAM);
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2005-03-13 19:54:06 +03:00
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float64 int64_to_float64( int64_t STATUS_PARAM);
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2007-03-21 01:10:42 +03:00
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float64 uint64_to_float64( uint64_t v STATUS_PARAM);
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2005-03-13 19:54:06 +03:00
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#ifdef FLOATX80
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floatx80 int64_to_floatx80( int64_t STATUS_PARAM);
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#endif
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#ifdef FLOAT128
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float128 int64_to_float128( int64_t STATUS_PARAM);
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#endif
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE single-precision conversion routines.
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*----------------------------------------------------------------------------*/
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int float32_to_int32( float32 STATUS_PARAM);
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int float32_to_int32_round_to_zero( float32 STATUS_PARAM);
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2007-03-21 01:10:42 +03:00
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unsigned int float32_to_uint32( float32 a STATUS_PARAM);
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unsigned int float32_to_uint32_round_to_zero( float32 a STATUS_PARAM);
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2005-03-13 19:54:06 +03:00
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int64_t float32_to_int64( float32 STATUS_PARAM);
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int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM);
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float64 float32_to_float64( float32 STATUS_PARAM);
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#ifdef FLOATX80
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floatx80 float32_to_floatx80( float32 STATUS_PARAM);
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#endif
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#ifdef FLOAT128
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float128 float32_to_float128( float32 STATUS_PARAM);
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#endif
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE single-precision operations.
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*----------------------------------------------------------------------------*/
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float32 float32_round_to_int( float32 STATUS_PARAM);
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INLINE float32 float32_add( float32 a, float32 b STATUS_PARAM)
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{
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return a + b;
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}
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INLINE float32 float32_sub( float32 a, float32 b STATUS_PARAM)
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{
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return a - b;
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}
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INLINE float32 float32_mul( float32 a, float32 b STATUS_PARAM)
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{
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return a * b;
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}
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INLINE float32 float32_div( float32 a, float32 b STATUS_PARAM)
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{
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return a / b;
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}
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float32 float32_rem( float32, float32 STATUS_PARAM);
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float32 float32_sqrt( float32 STATUS_PARAM);
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2006-10-28 23:27:11 +04:00
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INLINE int float32_eq( float32 a, float32 b STATUS_PARAM)
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2005-03-13 19:54:06 +03:00
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{
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return a == b;
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}
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2006-10-28 23:27:11 +04:00
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INLINE int float32_le( float32 a, float32 b STATUS_PARAM)
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2005-03-13 19:54:06 +03:00
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{
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return a <= b;
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}
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2006-10-28 23:27:11 +04:00
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INLINE int float32_lt( float32 a, float32 b STATUS_PARAM)
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2005-03-13 19:54:06 +03:00
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{
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return a < b;
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}
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2006-10-28 23:27:11 +04:00
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INLINE int float32_eq_signaling( float32 a, float32 b STATUS_PARAM)
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2005-03-13 19:54:06 +03:00
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{
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2005-03-20 13:33:58 +03:00
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return a <= b && a >= b;
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2005-03-13 19:54:06 +03:00
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}
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2006-10-28 23:27:11 +04:00
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INLINE int float32_le_quiet( float32 a, float32 b STATUS_PARAM)
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2005-03-13 19:54:06 +03:00
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{
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return islessequal(a, b);
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}
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2006-10-28 23:27:11 +04:00
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INLINE int float32_lt_quiet( float32 a, float32 b STATUS_PARAM)
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2005-03-13 19:54:06 +03:00
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{
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return isless(a, b);
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}
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2006-10-28 23:27:11 +04:00
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INLINE int float32_unordered( float32 a, float32 b STATUS_PARAM)
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2005-03-20 13:33:58 +03:00
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{
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return isunordered(a, b);
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}
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2006-10-28 23:27:11 +04:00
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int float32_compare( float32, float32 STATUS_PARAM );
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int float32_compare_quiet( float32, float32 STATUS_PARAM );
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int float32_is_signaling_nan( float32 );
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2008-12-13 14:46:15 +03:00
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int float32_is_nan( float32 );
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2005-03-13 19:54:06 +03:00
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INLINE float32 float32_abs(float32 a)
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{
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return fabsf(a);
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}
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INLINE float32 float32_chs(float32 a)
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{
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return -a;
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}
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2008-12-15 20:14:20 +03:00
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INLINE float32 float32_is_infinity(float32 a)
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{
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return fpclassify(a) == FP_INFINITE;
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}
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INLINE float32 float32_is_neg(float32 a)
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{
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2008-12-16 01:07:50 +03:00
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float32u u;
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u.f = a;
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return u.i >> 31;
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2008-12-15 20:14:20 +03:00
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}
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INLINE float32 float32_is_zero(float32 a)
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{
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return fpclassify(a) == FP_ZERO;
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}
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2007-11-11 03:04:49 +03:00
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INLINE float32 float32_scalbn(float32 a, int n)
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{
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return scalbnf(a, n);
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}
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2005-03-13 19:54:06 +03:00
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE double-precision conversion routines.
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*----------------------------------------------------------------------------*/
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int float64_to_int32( float64 STATUS_PARAM );
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int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
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2007-03-21 01:10:42 +03:00
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unsigned int float64_to_uint32( float64 STATUS_PARAM );
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unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
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2005-03-13 19:54:06 +03:00
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int64_t float64_to_int64( float64 STATUS_PARAM );
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int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
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2007-03-21 01:10:42 +03:00
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uint64_t float64_to_uint64( float64 STATUS_PARAM );
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uint64_t float64_to_uint64_round_to_zero( float64 STATUS_PARAM );
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2005-03-13 19:54:06 +03:00
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float32 float64_to_float32( float64 STATUS_PARAM );
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#ifdef FLOATX80
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floatx80 float64_to_floatx80( float64 STATUS_PARAM );
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#endif
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#ifdef FLOAT128
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float128 float64_to_float128( float64 STATUS_PARAM );
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#endif
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE double-precision operations.
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*----------------------------------------------------------------------------*/
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float64 float64_round_to_int( float64 STATUS_PARAM );
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2006-10-22 04:18:54 +04:00
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float64 float64_trunc_to_int( float64 STATUS_PARAM );
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2005-03-13 19:54:06 +03:00
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INLINE float64 float64_add( float64 a, float64 b STATUS_PARAM)
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{
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return a + b;
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}
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INLINE float64 float64_sub( float64 a, float64 b STATUS_PARAM)
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|
|
|
{
|
|
|
|
return a - b;
|
|
|
|
}
|
|
|
|
INLINE float64 float64_mul( float64 a, float64 b STATUS_PARAM)
|
|
|
|
{
|
|
|
|
return a * b;
|
|
|
|
}
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|
|
|
INLINE float64 float64_div( float64 a, float64 b STATUS_PARAM)
|
|
|
|
{
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|
|
|
return a / b;
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|
|
|
}
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|
|
|
float64 float64_rem( float64, float64 STATUS_PARAM );
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|
float64 float64_sqrt( float64 STATUS_PARAM );
|
2006-10-28 23:27:11 +04:00
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|
INLINE int float64_eq( float64 a, float64 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
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|
|
|
return a == b;
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|
|
}
|
2006-10-28 23:27:11 +04:00
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|
INLINE int float64_le( float64 a, float64 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
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|
|
return a <= b;
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
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|
INLINE int float64_lt( float64 a, float64 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
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|
|
|
return a < b;
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
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|
INLINE int float64_eq_signaling( float64 a, float64 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
|
2005-03-20 13:33:58 +03:00
|
|
|
return a <= b && a >= b;
|
2005-03-13 19:54:06 +03:00
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
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|
INLINE int float64_le_quiet( float64 a, float64 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
|
|
|
|
return islessequal(a, b);
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
|
|
INLINE int float64_lt_quiet( float64 a, float64 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
|
|
|
|
return isless(a, b);
|
|
|
|
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
|
|
INLINE int float64_unordered( float64 a, float64 b STATUS_PARAM)
|
2005-03-20 13:33:58 +03:00
|
|
|
{
|
|
|
|
return isunordered(a, b);
|
|
|
|
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
|
|
int float64_compare( float64, float64 STATUS_PARAM );
|
|
|
|
int float64_compare_quiet( float64, float64 STATUS_PARAM );
|
|
|
|
int float64_is_signaling_nan( float64 );
|
|
|
|
int float64_is_nan( float64 );
|
2005-03-13 19:54:06 +03:00
|
|
|
|
|
|
|
INLINE float64 float64_abs(float64 a)
|
|
|
|
{
|
|
|
|
return fabs(a);
|
|
|
|
}
|
|
|
|
|
|
|
|
INLINE float64 float64_chs(float64 a)
|
|
|
|
{
|
|
|
|
return -a;
|
|
|
|
}
|
|
|
|
|
2008-12-15 20:14:20 +03:00
|
|
|
INLINE float64 float64_is_infinity(float64 a)
|
|
|
|
{
|
|
|
|
return fpclassify(a) == FP_INFINITE;
|
|
|
|
}
|
|
|
|
|
|
|
|
INLINE float64 float64_is_neg(float64 a)
|
|
|
|
{
|
2008-12-16 01:07:50 +03:00
|
|
|
float64u u;
|
|
|
|
u.f = a;
|
|
|
|
return u.i >> 63;
|
2008-12-15 20:14:20 +03:00
|
|
|
}
|
|
|
|
|
|
|
|
INLINE float64 float64_is_zero(float64 a)
|
|
|
|
{
|
|
|
|
return fpclassify(a) == FP_ZERO;
|
|
|
|
}
|
|
|
|
|
2007-11-11 03:04:49 +03:00
|
|
|
INLINE float64 float64_scalbn(float64 a, int n)
|
|
|
|
{
|
|
|
|
return scalbn(a, n);
|
|
|
|
}
|
|
|
|
|
2005-03-13 19:54:06 +03:00
|
|
|
#ifdef FLOATX80
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
| Software IEC/IEEE extended double-precision conversion routines.
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
int floatx80_to_int32( floatx80 STATUS_PARAM );
|
|
|
|
int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
|
|
|
|
int64_t floatx80_to_int64( floatx80 STATUS_PARAM);
|
|
|
|
int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM);
|
|
|
|
float32 floatx80_to_float32( floatx80 STATUS_PARAM );
|
|
|
|
float64 floatx80_to_float64( floatx80 STATUS_PARAM );
|
|
|
|
#ifdef FLOAT128
|
|
|
|
float128 floatx80_to_float128( floatx80 STATUS_PARAM );
|
|
|
|
#endif
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
| Software IEC/IEEE extended double-precision operations.
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
|
|
|
|
INLINE floatx80 floatx80_add( floatx80 a, floatx80 b STATUS_PARAM)
|
|
|
|
{
|
|
|
|
return a + b;
|
|
|
|
}
|
|
|
|
INLINE floatx80 floatx80_sub( floatx80 a, floatx80 b STATUS_PARAM)
|
|
|
|
{
|
|
|
|
return a - b;
|
|
|
|
}
|
|
|
|
INLINE floatx80 floatx80_mul( floatx80 a, floatx80 b STATUS_PARAM)
|
|
|
|
{
|
|
|
|
return a * b;
|
|
|
|
}
|
|
|
|
INLINE floatx80 floatx80_div( floatx80 a, floatx80 b STATUS_PARAM)
|
|
|
|
{
|
|
|
|
return a / b;
|
|
|
|
}
|
|
|
|
floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
|
|
|
|
floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
|
2006-10-28 23:27:11 +04:00
|
|
|
INLINE int floatx80_eq( floatx80 a, floatx80 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
|
|
|
|
return a == b;
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
|
|
INLINE int floatx80_le( floatx80 a, floatx80 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
|
|
|
|
return a <= b;
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
|
|
INLINE int floatx80_lt( floatx80 a, floatx80 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
|
|
|
|
return a < b;
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
|
|
INLINE int floatx80_eq_signaling( floatx80 a, floatx80 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
|
2005-03-20 13:33:58 +03:00
|
|
|
return a <= b && a >= b;
|
2005-03-13 19:54:06 +03:00
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
|
|
INLINE int floatx80_le_quiet( floatx80 a, floatx80 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
|
|
|
|
return islessequal(a, b);
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
|
|
INLINE int floatx80_lt_quiet( floatx80 a, floatx80 b STATUS_PARAM)
|
2005-03-13 19:54:06 +03:00
|
|
|
{
|
|
|
|
return isless(a, b);
|
|
|
|
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
|
|
INLINE int floatx80_unordered( floatx80 a, floatx80 b STATUS_PARAM)
|
2005-03-20 13:33:58 +03:00
|
|
|
{
|
|
|
|
return isunordered(a, b);
|
|
|
|
|
|
|
|
}
|
2006-10-28 23:27:11 +04:00
|
|
|
int floatx80_compare( floatx80, floatx80 STATUS_PARAM );
|
|
|
|
int floatx80_compare_quiet( floatx80, floatx80 STATUS_PARAM );
|
|
|
|
int floatx80_is_signaling_nan( floatx80 );
|
2008-12-15 20:14:12 +03:00
|
|
|
int floatx80_is_nan( floatx80 );
|
2005-03-13 19:54:06 +03:00
|
|
|
|
|
|
|
INLINE floatx80 floatx80_abs(floatx80 a)
|
|
|
|
{
|
|
|
|
return fabsl(a);
|
|
|
|
}
|
|
|
|
|
|
|
|
INLINE floatx80 floatx80_chs(floatx80 a)
|
|
|
|
{
|
|
|
|
return -a;
|
|
|
|
}
|
2007-11-11 03:04:49 +03:00
|
|
|
|
2008-12-15 20:14:20 +03:00
|
|
|
INLINE floatx80 floatx80_is_infinity(floatx80 a)
|
|
|
|
{
|
|
|
|
return fpclassify(a) == FP_INFINITE;
|
|
|
|
}
|
|
|
|
|
|
|
|
INLINE floatx80 floatx80_is_neg(floatx80 a)
|
|
|
|
{
|
2008-12-16 01:07:50 +03:00
|
|
|
floatx80u u;
|
|
|
|
u.f = a;
|
|
|
|
return u.i.high >> 15;
|
2008-12-15 20:14:20 +03:00
|
|
|
}
|
|
|
|
|
|
|
|
INLINE floatx80 floatx80_is_zero(floatx80 a)
|
|
|
|
{
|
|
|
|
return fpclassify(a) == FP_ZERO;
|
|
|
|
}
|
|
|
|
|
2007-11-11 03:04:49 +03:00
|
|
|
INLINE floatx80 floatx80_scalbn(floatx80 a, int n)
|
|
|
|
{
|
|
|
|
return scalbnl(a, n);
|
|
|
|
}
|
|
|
|
|
2005-03-13 19:54:06 +03:00
|
|
|
#endif
|