diff options
Diffstat (limited to 'sysdeps/ia64/fpu/libm_support.h')
| -rw-r--r-- | sysdeps/ia64/fpu/libm_support.h | 1180 |
1 files changed, 246 insertions, 934 deletions
diff --git a/sysdeps/ia64/fpu/libm_support.h b/sysdeps/ia64/fpu/libm_support.h index dc9c0a2648..5d3498dfc9 100644 --- a/sysdeps/ia64/fpu/libm_support.h +++ b/sysdeps/ia64/fpu/libm_support.h @@ -1,11 +1,9 @@ -/* file: libm_support.h */ - - -/* -// Copyright (c) 2000 - 2004, Intel Corporation +// +// Copyright (C) 2000, 2001, Intel Corporation // All rights reserved. // -// Contributed 2000 by the Intel Numerics Group, Intel Corporation +// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, +// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation. // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are @@ -21,7 +19,6 @@ // * The name of Intel Corporation may not be used to endorse or promote // products derived from this software without specific prior written // permission. - // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT @@ -37,76 +34,236 @@ // // Intel Corporation is the author of this code, and requests that all // problem reports or change requests be submitted to it directly at -// http://www.intel.com/software/products/opensource/libraries/num.htm. +// http://developer.intel.com/opensource. // // History: 02/02/2000 Initial version // 2/28/2000 added tags for logb and nextafter -// 3/22/2000 Changes to support _LIB_VERSIONIMF variable +// 3/22/2000 Changes to support _LIB_VERSION variable // and filled some enum gaps. Added support for C99. // 5/31/2000 added prototypes for __libm_frexp_4l/8l -// 8/10/2000 Changed declaration of _LIB_VERSIONIMF to work for library +// 8/10/2000 Changed declaration of _LIB_VERSION to work for library // builds and other application builds (precompiler directives). // 8/11/2000 Added pointers-to-matherr-functions declarations to allow // for user-defined matherr functions in the dll build. // 12/07/2000 Added scalbn error_types values. -// 5/01/2001 Added error_types values for C99 nearest integer -// functions. -// 6/07/2001 Added error_types values for fdim. -// 6/18/2001 Added include of complex_support.h. -// 8/03/2001 Added error_types values for nexttoward, scalbln. -// 8/23/2001 Corrected tag numbers from 186 and higher. -// 8/27/2001 Added check for long int and long long int definitions. -// 12/10/2001 Added error_types for erfc. -// 12/27/2001 Added error_types for degree argument functions. -// 01/02/2002 Added error_types for tand, cotd. -// 01/04/2002 Delete include of complex_support.h -// 01/23/2002 Deleted prototypes for __libm_frexp*. Added check for -// multiple int, long int, and long long int definitions. -// 05/20/2002 Added error_types for cot. -// 06/27/2002 Added error_types for sinhcosh. -// 12/05/2002 Added error_types for annuity and compound -// 04/10/2003 Added error_types for tgammal/tgamma/tgammaf -// 05/16/2003 FP-treatment macros copied here from IA32 libm_support.h -// 06/02/2003 Added pad into struct fp80 (12/16 bytes). -// 08/01/2003 Added struct ker80 and macros for multiprecision addition, -// subtraction, multiplication, division, square root. -// 08/07/2003 History section updated. -// 09/03/2003 ALIGN(n) macro added. -// 10/01/2003 LDOUBLE_ALIGN and fp80 corrected on linux to 16 bytes. -// 11/24/2004 Added ifdef around definitions of INT32/64 -// 12/15/2004 Added error_types for exp10, nextafter, nexttoward -// underflow. Moved error codes into libm_error_codes.h. // -*/ -#ifndef __LIBM_SUPPORT_H_INCLUDED__ -#define __LIBM_SUPPORT_H_INCLUDED__ +#ifndef __ASSEMBLER__ +#include <math.h> + +float __libm_frexp_4f( float x, int* exp); +float _GI___libm_frexp_4f( float x, int* exp); +float __libm_frexp_8f( float x, int* exp); +double __libm_frexp_4( double x, int* exp); +double _GI___libm_frexp_4( double x, int* exp); +double __libm_frexp_8( double x, int* exp); +long double __libm_frexp_4l( long double x, int* exp); +long double _GI___libm_frexp_4l( long double x, int* exp); +long double __libm_frexp_8l( long double x, int* exp); +void __libm_sincos_pi4(double,double*,double*,int); +void __libm_y0y1(double , double *, double *); +void __libm_j0j1(double , double *, double *); +double __libm_lgamma_kernel(double,int*,int,int); +double __libm_j0(double); +double __libm_j1(double); +double __libm_jn(int,double); +double __libm_y0(double); +double __libm_y1(double); +double __libm_yn(int,double); + +extern double rint(double); +extern double sqrt(double); +extern double fabs(double); +extern double log(double); +extern double log1p(double); +extern double sqrt(double); +extern double sin(double); +extern double exp(double); +extern double modf(double, double *); +extern double asinh(double); +extern double acosh(double); +extern double atanh(double); +extern double tanh(double); +extern double erf(double); +extern double erfc(double); +extern double j0(double); +extern double j1(double); +extern double jn(int, double); +extern double y0(double); +extern double y1(double); +extern double yn(int, double); + +extern float fabsf(float); +extern float asinhf(float); +extern float acoshf(float); +extern float atanhf(float); +extern float tanhf(float); +extern float erff(float); +extern float erfcf(float); +extern float j0f(float); +extern float j1f(float); +extern float jnf(int, float); +extern float y0f(float); +extern float y1f(float); +extern float ynf(int, float); + +extern long double log1pl(long double); +extern long double logl(long double); +extern long double sqrtl(long double); +extern long double expl(long double); + +extern long lround(double); +extern long lroundf(float); +extern long lroundl(long double); -#ifndef _LIBC -#if !(defined(_WIN32) || defined(_WIN64)) -# pragma const_seg(".rodata") /* place constant data in text (code) section */ +#if !(defined(SIZE_INT_32) || defined(SIZE_INT_64)) + #error integer size not established; define SIZE_INT_32 or SIZE_INT_64 #endif -#if defined(__ICC) || defined(__ICL) || defined(__ECC) || defined(__ECL) -# pragma warning( disable : 1682 ) /* #1682: ixplicit conversion of a 64-bit integral type to a smaller integral type (potential portability problem) */ -# pragma warning( disable : 1683 ) /* #1683: explicit conversion of a 64-bit integral type to a smaller integral type (potential portability problem) */ -#endif -#endif +struct fp64 { /*/ sign:1 exponent:11 significand:52 (implied leading 1)*/ + unsigned lo_significand:32; + unsigned hi_significand:20; + unsigned exponent:11; + unsigned sign:1; +}; -/* macros to form a double value in hex representation (unsigned int type) */ +#define HI_SIGNIFICAND_LESS(X, HI) ((X)->hi_significand < 0x ## HI) +#define f64abs(x) ((x) < 0.0 ? -(x) : (x)) -#define DOUBLE_HEX(hi,lo) 0x##lo,0x##hi /*LITTLE_ENDIAN*/ +typedef enum +{ + logl_zero=0, logl_negative, /* 0, 1 */ + log_zero, log_negative, /* 2, 3 */ + logf_zero, logf_negative, /* 4, 5 */ + log10l_zero, log10l_negative, /* 6, 7 */ + log10_zero, log10_negative, /* 8, 9 */ + log10f_zero, log10f_negative, /* 10, 11 */ + expl_overflow, expl_underflow, /* 12, 13 */ + exp_overflow, exp_underflow, /* 14, 15 */ + expf_overflow, expf_underflow, /* 16, 17 */ + powl_overflow, powl_underflow, /* 18, 19 */ + powl_zero_to_zero, /* 20 */ + powl_zero_to_negative, /* 21 */ + powl_neg_to_non_integer, /* 22 */ + powl_nan_to_zero, /* 23 */ + pow_overflow, pow_underflow, /* 24, 25 */ + pow_zero_to_zero, /* 26 */ + pow_zero_to_negative, /* 27 */ + pow_neg_to_non_integer, /* 28 */ + pow_nan_to_zero, /* 29 */ + powf_overflow, powf_underflow, /* 30, 31 */ + powf_zero_to_zero, /* 32 */ + powf_zero_to_negative, /* 33 */ + powf_neg_to_non_integer, /* 34 */ + powf_nan_to_zero, /* 35 */ + atan2l_zero, /* 36 */ + atan2_zero, /* 37 */ + atan2f_zero, /* 38 */ + expm1l_overflow, /* 39 */ + expm1l_underflow, /* 40 */ + expm1_overflow, /* 41 */ + expm1_underflow, /* 42 */ + expm1f_overflow, /* 43 */ + expm1f_underflow, /* 44 */ + hypotl_overflow, /* 45 */ + hypot_overflow, /* 46 */ + hypotf_overflow, /* 47 */ + sqrtl_negative, /* 48 */ + sqrt_negative, /* 49 */ + sqrtf_negative, /* 50 */ + scalbl_overflow, scalbl_underflow, /* 51, 52 */ + scalb_overflow, scalb_underflow, /* 53, 54 */ + scalbf_overflow, scalbf_underflow, /* 55, 56 */ + acosl_gt_one, acos_gt_one, acosf_gt_one, /* 57, 58, 59 */ + asinl_gt_one, asin_gt_one, asinf_gt_one, /* 60, 61, 62 */ + coshl_overflow, cosh_overflow, coshf_overflow, /* 63, 64, 65 */ + y0l_zero, y0l_negative,y0l_gt_loss, /* 66, 67, 68 */ + y0_zero, y0_negative,y0_gt_loss, /* 69, 70, 71 */ + y0f_zero, y0f_negative,y0f_gt_loss, /* 72, 73, 74 */ + y1l_zero, y1l_negative,y1l_gt_loss, /* 75, 76, 77 */ + y1_zero, y1_negative,y1_gt_loss, /* 78, 79, 80 */ + y1f_zero, y1f_negative,y1f_gt_loss, /* 81, 82, 83 */ + ynl_zero, ynl_negative,ynl_gt_loss, /* 84, 85, 86 */ + yn_zero, yn_negative,yn_gt_loss, /* 87, 88, 89 */ + ynf_zero, ynf_negative,ynf_gt_loss, /* 90, 91, 92 */ + j0l_gt_loss, /* 93 */ + j0_gt_loss, /* 94 */ + j0f_gt_loss, /* 95 */ + j1l_gt_loss, /* 96 */ + j1_gt_loss, /* 97 */ + j1f_gt_loss, /* 98 */ + jnl_gt_loss, /* 99 */ + jn_gt_loss, /* 100 */ + jnf_gt_loss, /* 101 */ + lgammal_overflow, lgammal_negative,lgammal_reserve, /* 102, 103, 104 */ + lgamma_overflow, lgamma_negative,lgamma_reserve, /* 105, 106, 107 */ + lgammaf_overflow, lgammaf_negative, lgammaf_reserve,/* 108, 109, 110 */ + gammal_overflow,gammal_negative, gammal_reserve, /* 111, 112, 113 */ + gamma_overflow, gamma_negative, gamma_reserve, /* 114, 115, 116 */ + gammaf_overflow,gammaf_negative,gammaf_reserve, /* 117, 118, 119 */ + fmodl_by_zero, /* 120 */ + fmod_by_zero, /* 121 */ + fmodf_by_zero, /* 122 */ + remainderl_by_zero, /* 123 */ + remainder_by_zero, /* 124 */ + remainderf_by_zero, /* 125 */ + sinhl_overflow, sinh_overflow, sinhf_overflow, /* 126, 127, 128 */ + atanhl_gt_one, atanhl_eq_one, /* 129, 130 */ + atanh_gt_one, atanh_eq_one, /* 131, 132 */ + atanhf_gt_one, atanhf_eq_one, /* 133, 134 */ + acoshl_lt_one, /* 135 */ + acosh_lt_one, /* 136 */ + acoshf_lt_one, /* 137 */ + log1pl_zero, log1pl_negative, /* 138, 139 */ + log1p_zero, log1p_negative, /* 140, 141 */ + log1pf_zero, log1pf_negative, /* 142, 143 */ + ldexpl_overflow, ldexpl_underflow, /* 144, 145 */ + ldexp_overflow, ldexp_underflow, /* 146, 147 */ + ldexpf_overflow, ldexpf_underflow, /* 148, 149 */ + logbl_zero, logb_zero, logbf_zero, /* 150, 151, 152 */ + nextafterl_overflow, nextafter_overflow, + nextafterf_overflow, /* 153, 154, 155 */ + ilogbl_zero, ilogb_zero, ilogbf_zero, /* 156, 157, 158 */ + exp2l_overflow, exp2l_underflow, /* 159, 160 */ + exp2_overflow, exp2_underflow, /* 161, 162 */ + exp2f_overflow, exp2f_underflow, /* 163, 164 */ + exp10l_overflow, exp10_overflow, + exp10f_overflow, /* 165, 166, 167 */ + log2l_zero, log2l_negative, /* 168, 169 */ + log2_zero, log2_negative, /* 170, 171 */ + log2f_zero, log2f_negative, /* 172, 173 */ + scalbnl_overflow, scalbnl_underflow, /* 174, 175 */ + scalbn_overflow, scalbn_underflow, /* 176, 177 */ + scalbnf_overflow, scalbnf_underflow /* 178, 179 */ +} error_types; + +void __libm_error_support(void*,void*,void*,error_types); +libc_hidden_proto(__libm_error_support) + +#define BIAS_64 1023 +#define EXPINF_64 2047 + +#define DOUBLE_HEX(HI, LO) 0x ## LO, 0x ## HI + +#if 0 +static const unsigned INF[] = { + DOUBLE_HEX(7ff00000, 00000000), + DOUBLE_HEX(fff00000, 00000000) +}; -#include "libm_cpu_defs.h" +static const double _zeroo = 0.0; +static const double _bigg = 1.0e300; +static const double _ponee = 1.0; +static const double _nonee = -1.0; -#if !(defined (IA64)) -# include "libm_dll.h" -# include "libm_dispatch.h" +#define INVALID (_zeroo * *((double*)&INF[0])) +#define PINF *((double*)&INF[0]) +#define NINF -PINF +#define PINF_DZ (_ponee/_zeroo) +#define X_TLOSS 1.41484755040568800000e+16 #endif -#include "libm_error_codes.h" - struct exceptionf { int type; @@ -133,6 +290,8 @@ struct exception # endif # endif + + struct exceptionl { int type; @@ -140,27 +299,33 @@ struct exceptionl long double arg1, arg2, retval; }; -#if (defined (_MS_) && defined (IA64)) -#define MATHERR_F _matherrf -#define MATHERR_D _matherr +#ifdef _MS_ +#define MATHERR_F _matherrf +#define MATHERR_D _matherr #else -#define MATHERR_F matherrf -#define MATHERR_D matherr +#define MATHERR_F matherrf +#define MATHERR_D matherr #endif # ifdef __cplusplus -#define EXC_DECL_D __exception +#define EXC_DECL_D __exception #else // exception is a reserved name in C++ -#define EXC_DECL_D exception +#define EXC_DECL_D exception #endif extern int MATHERR_F(struct exceptionf*); extern int MATHERR_D(struct EXC_DECL_D*); extern int matherrl(struct exceptionl*); + +/* Set these appropriately to make thread Safe */ +#define ERRNO_RANGE errno = ERANGE +#define ERRNO_DOMAIN errno = EDOM + + +// Add code to support _LIB_VERSION #ifndef _LIBC -// Add code to support _LIB_VERSIONIMF typedef enum { _IEEE_ = -1, // IEEE-like behavior @@ -169,883 +334,30 @@ typedef enum _POSIX_, // Posix _ISOC_ // ISO C9X } _LIB_VERSION_TYPE; -#endif - -// This is a run-time variable and may affect -// floating point behavior of the libm functions - -#if !defined( LIBM_BUILD ) -#if defined( _DLL ) -extern _LIB_VERSION_TYPE __declspec(dllimport) _LIB_VERSIONIMF; -#else -extern _LIB_VERSION_TYPE _LIB_VERSIONIMF; -#endif /* _DLL */ -#else -extern int (*pmatherrf)(struct exceptionf*); -extern int (*pmatherr)(struct EXC_DECL_D*); -extern int (*pmatherrl)(struct exceptionl*); -#endif /* LIBM_BUILD */ - -/* memory format definitions (LITTLE_ENDIAN only) */ - -#if !(defined(SIZE_INT_32) || defined(SIZE_INT_64)) -# error "You need to define SIZE_INT_32 or SIZE_INT_64" -#endif - -#if (defined(SIZE_INT_32) && defined(SIZE_INT_64)) -#error multiple integer size definitions; define SIZE_INT_32 or SIZE_INT_64 -#endif -#if !(defined(SIZE_LONG_32) || defined(SIZE_LONG_64)) -# error "You need to define SIZE_LONG_32 or SIZE_LONG_64" +extern _LIB_VERSION_TYPE _LIB_VERSION; #endif -#if (defined(SIZE_LONG_32) && defined(SIZE_LONG_64)) -#error multiple integer size definitions; define SIZE_LONG_32 or SIZE_LONG_64 -#endif - -#if !defined(__USE_EXTERNAL_FPMEMTYP_H__) - -#define BIAS_32 0x007F -#define BIAS_64 0x03FF -#define BIAS_80 0x3FFF - -#define MAXEXP_32 0x00FE -#define MAXEXP_64 0x07FE -#define MAXEXP_80 0x7FFE +// This is a run-time variable and may effect +// floating point behavior of the libm functions -#define EXPINF_32 0x00FF -#define EXPINF_64 0x07FF -#define EXPINF_80 0x7FFF +#elif defined _LIBC -struct fp32 { /*// sign:1 exponent:8 significand:23 (implied leading 1)*/ -#if defined(SIZE_INT_32) - unsigned significand:23; - unsigned exponent:8; - unsigned sign:1; -#elif defined(SIZE_INT_64) - unsigned significand:23; - unsigned exponent:8; - unsigned sign:1; -#endif -}; +# if !defined NOT_IN_libc && defined SHARED && defined DO_VERSIONING \ + && !defined HAVE_BROKEN_ALIAS_ATTRIBUTE && !defined NO_HIDDEN +# define __libm_error_support __GI___libm_error_support +# endif -struct fp64 { /*/ sign:1 exponent:11 significand:52 (implied leading 1)*/ -#if defined(SIZE_INT_32) - unsigned lo_significand:32; - unsigned hi_significand:20; - unsigned exponent:11; - unsigned sign:1; -#elif defined(SIZE_INT_64) - unsigned significand:52; - unsigned exponent:11; - unsigned sign:1; -#endif -}; +#endif /* __ASSEMBLER__ */ -struct fp80 { /*/ sign:1 exponent:15 significand:64 (NO implied bits) */ -#if defined(SIZE_INT_32) - unsigned lo_significand; - unsigned hi_significand; - unsigned exponent:15; - unsigned sign:1; -#elif defined(SIZE_INT_64) - unsigned significand; - unsigned exponent:15; - unsigned sign:1; -#endif - unsigned pad:16; -#if !(defined(__unix__) && defined(__i386__)) - unsigned padwin:32; +/* Support for compatible assembler handling. */ +#if !defined L && defined _LIBC +#define L(name) .L##name #endif -}; - -#endif /*__USE_EXTERNAL_FPMEMTYP_H__*/ - -#if !(defined(opensource)) -typedef __int32 INT32; -typedef signed __int32 SINT32; -typedef unsigned __int32 UINT32; - -typedef __int64 INT64; -typedef signed __int64 SINT64; -typedef unsigned __int64 UINT64; +#ifdef __ELF__ +#define ASM_SIZE_DIRECTIVE(name) .size name,.-name +#define ASM_TYPE_DIRECTIVE(name,T) .type name,T #else -typedef int INT32; -typedef signed int SINT32; -typedef unsigned int UINT32; - -typedef long long INT64; -typedef signed long long SINT64; -typedef unsigned long long UINT64; -#endif - -#if (defined(_WIN32) || defined(_WIN64)) /* Windows */ -# define I64CONST(bits) 0x##bits##i64 -# define U64CONST(bits) 0x##bits##ui64 -#elif (defined(__linux__) && defined(_M_IA64)) /* Linux,64 */ -# define I64CONST(bits) 0x##bits##L -# define U64CONST(bits) 0x##bits##uL -#else /* Linux,32 */ -# define I64CONST(bits) 0x##bits##LL -# define U64CONST(bits) 0x##bits##uLL -#endif - -struct ker80 { - union { - long double ldhi; - struct fp80 fphi; - }; - union { - long double ldlo; - struct fp80 fplo; - }; - int ex; -}; - -/* Addition: x+y */ -/* The result is sum rhi+rlo */ -/* Temporary variables: t1 */ -/* All variables are in long double precision */ -/* Correct if no overflow (algorithm by D.Knuth) */ -#define __LIBM_ADDL1_K80( rhi,rlo,x,y, t1 ) \ - rhi = x + y; \ - rlo = rhi - x; \ - t1 = rhi - rlo; \ - rlo = y - rlo; \ - t1 = x - t1; \ - rlo = rlo + t1; - -/* Addition: (xhi+xlo) + (yhi+ylo) */ -/* The result is sum rhi+rlo */ -/* Temporary variables: t1 */ -/* All variables are in long double precision */ -/* Correct if no overflow (algorithm by T.J.Dekker) */ -#define __LIBM_ADDL2_K80( rhi,rlo,xhi,xlo,yhi,ylo, t1 ) \ - rlo = xhi+yhi; \ - if ( VALUE_GT_80(FP80(xhi),FP80(yhi)) ) { \ - t1=xhi-rlo;t1=t1+yhi;t1=t1+ylo;t1=t1+xlo; \ - } else { \ - t1=yhi-rlo;t1=t1+xhi;t1=t1+xlo;t1=t1+ylo; \ - } \ - rhi=rlo+t1; \ - rlo=rlo-rhi;rlo=rlo+t1; - -/* Addition: r=x+y */ -/* Variables r,x,y are pointers to struct ker80, */ -/* all other variables are in long double precision */ -/* Temporary variables: t1 */ -/* Correct if x and y belong to interval [2^-8000;2^8000], */ -/* or when one or both of them are zero */ -#if defined(SIZE_INT_32) -#define __LIBM_ADDL_K80(r,x,y, t1) \ - if ( ((y)->ex+(y)->fphi.exponent-134 < \ - (x)->ex+(x)->fphi.exponent) && \ - ((x)->ex+(x)->fphi.exponent < \ - (y)->ex+(y)->fphi.exponent+134) && \ - !SIGNIFICAND_ZERO_80(&((x)->fphi)) && \ - !SIGNIFICAND_ZERO_80(&((y)->fphi)) ) \ - { \ - /* y/2^134 < x < y*2^134, */ \ - /* and x,y are nonzero finite numbers */ \ - if ( (x)->ex != (y)->ex ) { \ - /* adjust x->ex to y->ex */ \ - /* t1 = 2^(x->ex - y->ex) */ \ - FP80(t1)->sign = 0; \ - FP80(t1)->exponent = BIAS_80 + (x)->ex-(y)->ex; \ - /* exponent is correct because */ \ - /* |x->ex - y->ex| = */ \ - /* = | (x->ex + x->fphi.exponent) - */ \ - /* -(y->ex + y->fphi.exponent) + */ \ - /* + y->fphi.exponent - */ \ - /* - x->fphi.exponent | < */ \ - /* < | (x->ex+x->fphi.exponent) - */ \ - /* -(y->ex+y->fphi.exponent) | + */ \ - /* +| y->fphi.exponent - */ \ - /* -x->fphi.exponent | < */ \ - /* < 134 + 16000 */ \ - FP80(t1)->hi_significand = 0x80000000; \ - FP80(t1)->lo_significand = 0x00000000; \ - (x)->ex = (y)->ex; \ - (x)->ldhi *= t1; \ - (x)->ldlo *= t1; \ - } \ - /* r==x+y */ \ - (r)->ex = (y)->ex; \ - __LIBM_ADDL2_K80( (r)->ldhi,(r)->ldlo, \ - (x)->ldhi,(x)->ldlo, (y)->ldhi,(y)->ldlo, t1 ); \ - } else if ( SIGNIFICAND_ZERO_80(&((x)->fphi)) || \ - ((y)->ex+(y)->fphi.exponent-BIAS_80 - 134 >= \ - (x)->ex+(x)->fphi.exponent-BIAS_80) ) \ - { \ - /* |x|<<|y| */ \ - *(r) = *(y); \ - } else { \ - /* |y|<<|x| */ \ - *(r) = *(x); \ - } -#elif defined(SIZE_INT_64) -#define __LIBM_ADDL_K80(r,x,y, t1) \ - if ( ((y)->ex+(y)->fphi.exponent-134 < \ - (x)->ex+(x)->fphi.exponent) && \ - ((x)->ex+(x)->fphi.exponent < \ - (y)->ex+(y)->fphi.exponent+134) && \ - !SIGNIFICAND_ZERO_80(&((x)->fphi)) && \ - !SIGNIFICAND_ZERO_80(&((y)->fphi)) ) \ - { \ - /* y/2^134 < x < y*2^134, */ \ - /* and x,y are nonzero finite numbers */ \ - if ( (x)->ex != (y)->ex ) { \ - /* adjust x->ex to y->ex */ \ - /* t1 = 2^(x->ex - y->ex) */ \ - FP80(t1)->sign = 0; \ - FP80(t1)->exponent = BIAS_80 + (x)->ex-(y)->ex; \ - /* exponent is correct because */ \ - /* |x->ex - y->ex| = */ \ - /* = | (x->ex + x->fphi.exponent) - */ \ - /* -(y->ex + y->fphi.exponent) + */ \ - /* + y->fphi.exponent - */ \ - /* - x->fphi.exponent | < */ \ - /* < | (x->ex+x->fphi.exponent) - */ \ - /* -(y->ex+y->fphi.exponent) | + */ \ - /* +| y->fphi.exponent - */ \ - /* -x->fphi.exponent | < */ \ - /* < 134 + 16000 */ \ - FP80(t1)->significand = 0x8000000000000000; \ - (x)->ex = (y)->ex; \ - (x)->ldhi *= t1; \ - (x)->ldlo *= t1; \ - } \ - /* r==x+y */ \ - (r)->ex = (y)->ex; \ - __LIBM_ADDL2_K80( (r)->ldhi,(r)->ldlo, \ - (x)->ldhi,(x)->ldlo, (y)->ldhi,(y)->ldlo, t1 ); \ - } else if ( SIGNIFICAND_ZERO_80(&((x)->fphi)) || \ - ((y)->ex+(y)->fphi.exponent-BIAS_80 - 134 >= \ - (x)->ex+(x)->fphi.exponent-BIAS_80) ) \ - { \ - /* |x|<<|y| */ \ - *(r) = *(y); \ - } else { \ - /* |y|<<|x| */ \ - *(r) = *(x); \ - } -#endif - -/* Addition: r=x+y */ -/* Variables r,x,y are pointers to struct ker80, */ -/* all other variables are in long double precision */ -/* Temporary variables: t1 */ -/* Correct for any finite x and y */ -#define __LIBM_ADDL_NORM_K80(r,x,y, t1) \ - if ( ((x)->fphi.exponent-BIAS_80<-8000) || \ - ((x)->fphi.exponent-BIAS_80>+8000) || \ - ((y)->fphi.exponent-BIAS_80<-8000) || \ - ((y)->fphi.exponent-BIAS_80>+8000) ) \ - { \ - __libm_normalizel_k80(x); \ - __libm_normalizel_k80(y); \ - } \ - __LIBM_ADDL_K80(r,x,y, t1) - -/* Subtraction: x-y */ -/* The result is sum rhi+rlo */ -/* Temporary variables: t1 */ -/* All variables are in long double precision */ -/* Correct if no overflow (algorithm by D.Knuth) */ -#define __LIBM_SUBL1_K80( rhi, rlo, x, y, t1 ) \ - rhi = x - y; \ - rlo = rhi - x; \ - t1 = rhi - rlo; \ - rlo = y + rlo; \ - t1 = x - t1; \ - rlo = t1 - rlo; - -/* Subtraction: (xhi+xlo) - (yhi+ylo) */ -/* The result is sum rhi+rlo */ -/* Temporary variables: t1 */ -/* All variables are in long double precision */ -/* Correct if no overflow (algorithm by T.J.Dekker) */ -#define __LIBM_SUBL2_K80( rhi,rlo,xhi,xlo,yhi,ylo, t1 ) \ - rlo = xhi-yhi; \ - if ( VALUE_GT_80(FP80(xhi),FP80(yhi)) ) { \ - t1=xhi-rlo;t1=t1-yhi;t1=t1-ylo;t1=t1+xlo; \ - } else { \ - t1=yhi+rlo;t1=xhi-t1;t1=t1+xlo;t1=t1-ylo; \ - } \ - rhi=rlo+t1; \ - rlo=rlo-rhi;rlo=rlo+t1; - -/* Subtraction: r=x-y */ -/* Variables r,x,y are pointers to struct ker80, */ -/* all other variables are in long double precision */ -/* Temporary variables: t1 */ -/* Correct if x and y belong to interval [2^-8000;2^8000], */ -/* or when one or both of them are zero */ -#if defined(SIZE_INT_32) -#define __LIBM_SUBL_K80(r,x,y, t1) \ - if ( ((y)->ex+(y)->fphi.exponent-134 < \ - (x)->ex+(x)->fphi.exponent) && \ - ((x)->ex+(x)->fphi.exponent < \ - (y)->ex+(y)->fphi.exponent+134) && \ - !SIGNIFICAND_ZERO_80(&((x)->fphi)) && \ - !SIGNIFICAND_ZERO_80(&((y)->fphi)) ) \ - { \ - /* y/2^134 < x < y*2^134, */ \ - /* and x,y are nonzero finite numbers */ \ - if ( (x)->ex != (y)->ex ) { \ - /* adjust x->ex to y->ex */ \ - /* t1 = 2^(x->ex - y->ex) */ \ - FP80(t1)->sign = 0; \ - FP80(t1)->exponent = BIAS_80 + (x)->ex-(y)->ex; \ - /* exponent is correct because */ \ - /* |x->ex - y->ex| = */ \ - /* = | (x->ex + x->fphi.exponent) - */ \ - /* -(y->ex + y->fphi.exponent) + */ \ - /* + y->fphi.exponent - */ \ - /* - x->fphi.exponent | < */ \ - /* < | (x->ex+x->fphi.exponent) - */ \ - /* -(y->ex+y->fphi.exponent) | + */ \ - /* +| y->fphi.exponent - */ \ - /* -x->fphi.exponent | < */ \ - /* < 134 + 16000 */ \ - FP80(t1)->hi_significand = 0x80000000; \ - FP80(t1)->lo_significand = 0x00000000; \ - (x)->ex = (y)->ex; \ - (x)->ldhi *= t1; \ - (x)->ldlo *= t1; \ - } \ - /* r==x+y */ \ - (r)->ex = (y)->ex; \ - __LIBM_SUBL2_K80( (r)->ldhi,(r)->ldlo, \ - (x)->ldhi,(x)->ldlo, (y)->ldhi,(y)->ldlo, t1 ); \ - } else if ( SIGNIFICAND_ZERO_80(&((x)->fphi)) || \ - ((y)->ex+(y)->fphi.exponent-BIAS_80 - 134 >= \ - (x)->ex+(x)->fphi.exponent-BIAS_80) ) \ - { \ - /* |x|<<|y| */ \ - (r)->ex = (y)->ex; \ - (r)->ldhi = -((y)->ldhi); \ - (r)->ldlo = -((y)->ldlo); \ - } else { \ - /* |y|<<|x| */ \ - *(r) = *(x); \ - } -#elif defined(SIZE_INT_64) -#define __LIBM_SUBL_K80(r,x,y, t1) \ - if ( ((y)->ex+(y)->fphi.exponent-134 < \ - (x)->ex+(x)->fphi.exponent) && \ - ((x)->ex+(x)->fphi.exponent < \ - (y)->ex+(y)->fphi.exponent+134) && \ - !SIGNIFICAND_ZERO_80(&((x)->fphi)) && \ - !SIGNIFICAND_ZERO_80(&((y)->fphi)) ) \ - { \ - /* y/2^134 < x < y*2^134, */ \ - /* and x,y are nonzero finite numbers */ \ - if ( (x)->ex != (y)->ex ) { \ - /* adjust x->ex to y->ex */ \ - /* t1 = 2^(x->ex - y->ex) */ \ - FP80(t1)->sign = 0; \ - FP80(t1)->exponent = BIAS_80 + (x)->ex-(y)->ex; \ - /* exponent is correct because */ \ - /* |x->ex - y->ex| = */ \ - /* = | (x->ex + x->fphi.exponent) - */ \ - /* -(y->ex + y->fphi.exponent) + */ \ - /* + y->fphi.exponent - */ \ - /* - x->fphi.exponent | < */ \ - /* < | (x->ex+x->fphi.exponent) - */ \ - /* -(y->ex+y->fphi.exponent) | + */ \ - /* +| y->fphi.exponent - */ \ - /* -x->fphi.exponent | < */ \ - /* < 134 + 16000 */ \ - FP80(t1)->significand = 0x8000000000000000; \ - (x)->ex = (y)->ex; \ - (x)->ldhi *= t1; \ - (x)->ldlo *= t1; \ - } \ - /* r==x+y */ \ - (r)->ex = (y)->ex; \ - __LIBM_SUBL2_K80( (r)->ldhi,(r)->ldlo, \ - (x)->ldhi,(x)->ldlo, (y)->ldhi,(y)->ldlo, t1 ); \ - } else if ( SIGNIFICAND_ZERO_80(&((x)->fphi)) || \ - ((y)->ex+(y)->fphi.exponent-BIAS_80 - 134 >= \ - (x)->ex+(x)->fphi.exponent-BIAS_80) ) \ - { \ - /* |x|<<|y| */ \ - (r)->ex = (y)->ex; \ - (r)->ldhi = -((y)->ldhi); \ - (r)->ldlo = -((y)->ldlo); \ - } else { \ - /* |y|<<|x| */ \ - *(r) = *(x); \ - } -#endif - -/* Subtraction: r=x+y */ -/* Variables r,x,y are pointers to struct ker80, */ -/* all other variables are in long double precision */ -/* Temporary variables: t1 */ -/* Correct for any finite x and y */ -#define __LIBM_SUBL_NORM_K80(r,x,y, t1) \ - if ( ((x)->fphi.exponent-BIAS_80<-8000) || \ - ((x)->fphi.exponent-BIAS_80>+8000) || \ - ((y)->fphi.exponent-BIAS_80<-8000) || \ - ((y)->fphi.exponent-BIAS_80>+8000) ) \ - { \ - __libm_normalizel_k80(x); \ - __libm_normalizel_k80(y); \ - } \ - __LIBM_SUBL_K80(r,x,y, t1) - -/* Multiplication: x*y */ -/* The result is sum rhi+rlo */ -/* Here t32 is the constant 2^32+1 */ -/* Temporary variables: t1,t2,t3,t4,t5,t6 */ -/* All variables are in long double precision */ -/* Correct if no over/underflow (algorithm by T.J.Dekker) */ -#define __LIBM_MULL1_K80(rhi,rlo,x,y, \ - t32,t1,t2,t3,t4,t5,t6) \ - t1=(x)*(t32); t3=x-t1; t3=t3+t1; t4=x-t3; \ - t1=(y)*(t32); t5=y-t1; t5=t5+t1; t6=y-t5; \ - t1=(t3)*(t5); \ - t2=(t3)*(t6)+(t4)*(t5); \ - rhi=t1+t2; \ - rlo=t1-rhi; rlo=rlo+t2; rlo=rlo+(t4*t6); - -/* Multiplication: (xhi+xlo)*(yhi+ylo) */ -/* The result is sum rhi+rlo */ -/* Here t32 is the constant 2^32+1 */ -/* Temporary variables: t1,t2,t3,t4,t5,t6,t7,t8 */ -/* All variables are in long double precision */ -/* Correct if no over/underflow (algorithm by T.J.Dekker) */ -#define __LIBM_MULL2_K80(rhi,rlo,xhi,xlo,yhi,ylo, \ - t32,t1,t2,t3,t4,t5,t6,t7,t8) \ - __LIBM_MULL1_K80(t7,t8,xhi,yhi, t32,t1,t2,t3,t4,t5,t6) \ - t1=(xhi)*(ylo)+(xlo)*(yhi); t1=t1+t8; \ - rhi=t7+t1; \ - rlo=t7-rhi; rlo=rlo+t1; - -/* Multiplication: r=x*y */ -/* Variables r,x,y are pointers to struct ker80, */ -/* all other variables are in long double precision */ -/* Here t32 is the constant 2^32+1 */ -/* Temporary variables: t1,t2,t3,t4,t5,t6,t7,t8 */ -/* Correct if x and y belong to interval [2^-8000;2^8000] */ -#define __LIBM_MULL_K80(r,x,y, t32,t1,t2,t3,t4,t5,t6,t7,t8) \ - (r)->ex = (x)->ex + (y)->ex; \ - __LIBM_MULL2_K80((r)->ldhi,(r)->ldlo, \ - (x)->ldhi,(x)->ldlo,(y)->ldhi,(y)->ldlo, \ - t32,t1,t2,t3,t4,t5,t6,t7,t8) - -/* Multiplication: r=x*y */ -/* Variables r,x,y are pointers to struct ker80, */ -/* all other variables are in long double precision */ -/* Here t32 is the constant 2^32+1 */ -/* Temporary variables: t1,t2,t3,t4,t5,t6,t7,t8 */ -/* Correct for any finite x and y */ -#define __LIBM_MULL_NORM_K80(r,x,y, \ - t32,t1,t2,t3,t4,t5,t6,t7,t8) \ - if ( ((x)->fphi.exponent-BIAS_80<-8000) || \ - ((x)->fphi.exponent-BIAS_80>+8000) || \ - ((y)->fphi.exponent-BIAS_80<-8000) || \ - ((y)->fphi.exponent-BIAS_80>+8000) ) \ - { \ - __libm_normalizel_k80(x); \ - __libm_normalizel_k80(y); \ - } \ - __LIBM_MULL_K80(r,x,y, t32,t1,t2,t3,t4,t5,t6,t7,t8) - -/* Division: (xhi+xlo)/(yhi+ylo) */ -/* The result is sum rhi+rlo */ -/* Here t32 is the constant 2^32+1 */ -/* Temporary variables: t1,t2,t3,t4,t5,t6,t7,t8,t9 */ -/* All variables are in long double precision */ -/* Correct if no over/underflow (algorithm by T.J.Dekker) */ -#define __LIBM_DIVL2_K80(rhi,rlo,xhi,xlo,yhi,ylo, \ - t32,t1,t2,t3,t4,t5,t6,t7,t8,t9) \ - t7=(xhi)/(yhi); \ - __LIBM_MULL1_K80(t8,t9,t7,yhi, t32,t1,t2,t3,t4,t5,t6) \ - t1=xhi-t8; t1=t1-t9; t1=t1+xlo; t1=t1-(t7)*(ylo); \ - t1=(t1)/(yhi); \ - rhi=t7+t1; \ - rlo=t7-rhi; rlo=rlo+t1; - -/* Division: r=x/y */ -/* Variables r,x,y are pointers to struct ker80, */ -/* all other variables are in long double precision */ -/* Here t32 is the constant 2^32+1 */ -/* Temporary variables: t1,t2,t3,t4,t5,t6,t7,t8,t9 */ -/* Correct if x and y belong to interval [2^-8000;2^8000] */ -#define __LIBM_DIVL_K80(r,x,y, \ - t32,t1,t2,t3,t4,t5,t6,t7,t8,t9) \ - (r)->ex = (x)->ex - (y)->ex; \ - __LIBM_DIVL2_K80( (r)->ldhi,(r)->ldlo, \ - (x)->ldhi,(x)->ldlo,(y)->ldhi,(y)->ldlo, \ - t32,t1,t2,t3,t4,t5,t6,t7,t8,t9) - -/* Division: r=x/y */ -/* Variables r,x,y are pointers to struct ker80, */ -/* all other variables are in long double precision */ -/* Here t32 is the constant 2^32+1 */ -/* Temporary variables: t1,t2,t3,t4,t5,t6,t7,t8 */ -/* Correct for any finite x and y */ -#define __LIBM_DIVL_NORM_K80(r,x,y, \ - t32,t1,t2,t3,t4,t5,t6,t7,t8,t9) \ - if ( ((x)->fphi.exponent-BIAS_80<-8000) || \ - ((x)->fphi.exponent-BIAS_80>+8000) || \ - ((y)->fphi.exponent-BIAS_80<-8000) || \ - ((y)->fphi.exponent-BIAS_80>+8000) ) \ - { \ - __libm_normalizel_k80(x); \ - __libm_normalizel_k80(y); \ - } \ - __LIBM_DIVL_K80(r,x,y, t32,t1,t2,t3,t4,t5,t6,t7,t8,t9) - -/* Square root: sqrt(xhi+xlo) */ -/* The result is sum rhi+rlo */ -/* Here t32 is the constant 2^32+1 */ -/* half is the constant 0.5 */ -/* Temporary variables: t1,t2,t3,t4,t5,t6,t7,t8,t9 */ -/* All variables are in long double precision */ -/* Correct for positive xhi+xlo (algorithm by T.J.Dekker) */ -#define __LIBM_SQRTL2_NORM_K80(rhi,rlo,xhi,xlo, \ - t32,half,t1,t2,t3,t4,t5,t6,t7,t8,t9) \ - t7=sqrtl(xhi); \ - __LIBM_MULL1_K80(t8,t9,t7,t7, t32,t1,t2,t3,t4,t5,t6) \ - t1=xhi-t8; t1=t1-t9; t1=t1+xlo; t1=(t1)*(half); \ - t1=(t1)/(t7); \ - rhi=t7+t1; \ - rlo=t7-rhi; rlo=rlo+t1; - -/* Square root: r=sqrt(x) */ -/* Variables r,x,y are pointers to struct ker80, */ -/* all other variables are in long double precision */ -/* Here t32 is the constant 2^32+1 */ -/* half is the constant 0.5 */ -/* Temporary variables: t1,t2,t3,t4,t5,t6,t7,t8,t9 */ -/* Correct if x belongs to interval [2^-16000;2^16000] */ -#define __LIBM_SQRTL_K80(r,x, \ - t32,half,t1,t2,t3,t4,t5,t6,t7,t8,t9) \ - if ( ((x)->ex & 1) == 1 ) { \ - (x)->ex = (x)->ex + 1; \ - (x)->ldhi *= half; \ - (x)->ldlo *= half; \ - } \ - (r)->ex = (x)->ex >> 1; \ - __LIBM_SQRTL2_NORM_K80( (r)->ldhi,(r)->ldlo, \ - (x)->ldhi,(x)->ldlo, \ - t32,half,t1,t2,t3,t4,t5,t6,t7,t8,t9) - -/* Square root: r=sqrt(x) */ -/* Variables r,x,y are pointers to struct ker80, */ -/* all other variables are in long double precision */ -/* Here t32 is the constant 2^32+1 */ -/* half is the constant 0.5 */ -/* Temporary variables: t1,t2,t3,t4,t5,t6,t7,t8,t9 */ -/* Correct for any positive x */ -#define __LIBM_SQRTL_NORM_K80(r,x, \ - t32,half,t1,t2,t3,t4,t5,t6,t7,t8,t9) \ - if ( ((x)->fphi.exponent-BIAS_80<-16000) || \ - ((x)->fphi.exponent-BIAS_80>+16000) ) \ - { \ - __libm_normalizel_k80(x); \ - } \ - __LIBM_SQRTL_K80(r,x, t32,half,t1,t2,t3,t4,t5,t6,t7,t8,t9) - - -#ifdef __INTEL_COMPILER -#define ALIGN(n) __declspec(align(n)) -#else /* __INTEL_COMPILER */ -#define ALIGN(n) -#endif /* __INTEL_COMPILER */ - -/* macros to form a long double value in hex representation (unsigned short type) */ - -#if (defined(__unix__) && defined(__i386__)) -# define LDOUBLE_ALIGN 12 /* IA32 Linux: 12-byte alignment */ -#else /*__linux__ & IA32*/ -# define LDOUBLE_ALIGN 16 /* EFI2/IA32 Win or IPF Win/Linux: 16-byte alignment */ -#endif /*__linux__ & IA32*/ - -#if (LDOUBLE_ALIGN == 16) -#define _XPD_ ,0x0000,0x0000,0x0000 -#else /*12*/ -#define _XPD_ ,0x0000 -#endif - -#define LDOUBLE_HEX(w4,w3,w2,w1,w0) 0x##w0,0x##w1,0x##w2,0x##w3,0x##w4 _XPD_ /*LITTLE_ENDIAN*/ - -/* macros to sign-expand low 'num' bits of 'val' to native integer */ - -#if defined(SIZE_INT_32) -# define SIGN_EXPAND(val,num) ((int)(val) << (32-(num))) >> (32-(num)) /* sign expand of 'num' LSBs */ -#elif defined(SIZE_INT_64) -# define SIGN_EXPAND(val,num) ((int)(val) << (64-(num))) >> (64-(num)) /* sign expand of 'num' LSBs */ -#endif - -/* macros to form pointers to FP number on-the-fly */ - -#define FP32(f) ((struct fp32 *)&f) -#define FP64(d) ((struct fp64 *)&d) -#define FP80(ld) ((struct fp80 *)&ld) - -/* macros to extract signed low and high doubleword of long double */ - -#if defined(SIZE_INT_32) -# define HI_DWORD_80(ld) ((((FP80(ld)->sign << 15) | FP80(ld)->exponent) << 16) | \ - ((FP80(ld)->hi_significand >> 16) & 0xFFFF)) -# define LO_DWORD_80(ld) SIGN_EXPAND(FP80(ld)->lo_significand, 32) -#elif defined(SIZE_INT_64) -# define HI_DWORD_80(ld) ((((FP80(ld)->sign << 15) | FP80(ld)->exponent) << 16) | \ - ((FP80(ld)->significand >> 48) & 0xFFFF)) -# define LO_DWORD_80(ld) SIGN_EXPAND(FP80(ld)->significand, 32) -#endif - -/* macros to extract hi bits of significand. - * note that explicit high bit do not count (returns as is) - */ - -#if defined(SIZE_INT_32) -# define HI_SIGNIFICAND_80(X,NBITS) ((X)->hi_significand >> (31 - (NBITS))) -#elif defined(SIZE_INT_64) -# define HI_SIGNIFICAND_80(X,NBITS) ((X)->significand >> (63 - (NBITS))) -#endif - -/* macros to check, whether a significand bits are all zero, or some of them are non-zero. - * note that SIGNIFICAND_ZERO_80 tests high bit also, but SIGNIFICAND_NONZERO_80 does not - */ - -#define SIGNIFICAND_ZERO_32(X) ((X)->significand == 0) -#define SIGNIFICAND_NONZERO_32(X) ((X)->significand != 0) - -#if defined(SIZE_INT_32) -# define SIGNIFICAND_ZERO_64(X) (((X)->hi_significand == 0) && ((X)->lo_significand == 0)) -# define SIGNIFICAND_NONZERO_64(X) (((X)->hi_significand != 0) || ((X)->lo_significand != 0)) -#elif defined(SIZE_INT_64) -# define SIGNIFICAND_ZERO_64(X) ((X)->significand == 0) -# define SIGNIFICAND_NONZERO_64(X) ((X)->significand != 0) -#endif - -#if defined(SIZE_INT_32) -# define SIGNIFICAND_ZERO_80(X) (((X)->hi_significand == 0x00000000) && ((X)->lo_significand == 0)) -# define SIGNIFICAND_NONZERO_80(X) (((X)->hi_significand != 0x80000000) || ((X)->lo_significand != 0)) -#elif defined(SIZE_INT_64) -# define SIGNIFICAND_ZERO_80(X) ((X)->significand == 0x0000000000000000) -# define SIGNIFICAND_NONZERO_80(X) ((X)->significand != 0x8000000000000000) -#endif - -/* macros to compare long double with constant value, represented as hex */ - -#define SIGNIFICAND_EQ_HEX_32(X,BITS) ((X)->significand == 0x ## BITS) -#define SIGNIFICAND_GT_HEX_32(X,BITS) ((X)->significand > 0x ## BITS) -#define SIGNIFICAND_GE_HEX_32(X,BITS) ((X)->significand >= 0x ## BITS) -#define SIGNIFICAND_LT_HEX_32(X,BITS) ((X)->significand < 0x ## BITS) -#define SIGNIFICAND_LE_HEX_32(X,BITS) ((X)->significand <= 0x ## BITS) - -#if defined(SIZE_INT_32) -# define SIGNIFICAND_EQ_HEX_64(X,HI,LO) \ - (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand == 0x ## LO)) -# define SIGNIFICAND_GT_HEX_64(X,HI,LO) (((X)->hi_significand > 0x ## HI) || \ - (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand > 0x ## LO))) -# define SIGNIFICAND_GE_HEX_64(X,HI,LO) (((X)->hi_significand > 0x ## HI) || \ - (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand >= 0x ## LO))) -# define SIGNIFICAND_LT_HEX_64(X,HI,LO) (((X)->hi_significand < 0x ## HI) || \ - (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand < 0x ## LO))) -# define SIGNIFICAND_LE_HEX_64(X,HI,LO) (((X)->hi_significand < 0x ## HI) || \ - (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand <= 0x ## LO))) -#elif defined(SIZE_INT_64) -# define SIGNIFICAND_EQ_HEX_64(X,HI,LO) ((X)->significand == 0x ## HI ## LO) -# define SIGNIFICAND_GT_HEX_64(X,HI,LO) ((X)->significand > 0x ## HI ## LO) -# define SIGNIFICAND_GE_HEX_64(X,HI,LO) ((X)->significand >= 0x ## HI ## LO) -# define SIGNIFICAND_LT_HEX_64(X,HI,LO) ((X)->significand < 0x ## HI ## LO) -# define SIGNIFICAND_LE_HEX_64(X,HI,LO) ((X)->significand <= 0x ## HI ## LO) -#endif - -#if defined(SIZE_INT_32) -# define SIGNIFICAND_EQ_HEX_80(X,HI,LO) \ - (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand == 0x ## LO)) -# define SIGNIFICAND_GT_HEX_80(X,HI,LO) (((X)->hi_significand > 0x ## HI) || \ - (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand > 0x ## LO))) -# define SIGNIFICAND_GE_HEX_80(X,HI,LO) (((X)->hi_significand > 0x ## HI) || \ - (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand >= 0x ## LO))) -# define SIGNIFICAND_LT_HEX_80(X,HI,LO) (((X)->hi_significand < 0x ## HI) || \ - (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand < 0x ## LO))) -# define SIGNIFICAND_LE_HEX_80(X,HI,LO) (((X)->hi_significand < 0x ## HI) || \ - (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand <= 0x ## LO))) -#elif defined(SIZE_INT_64) -# define SIGNIFICAND_EQ_HEX_80(X,HI,LO) ((X)->significand == 0x ## HI ## LO) -# define SIGNIFICAND_GT_HEX_80(X,HI,LO) ((X)->significand > 0x ## HI ## LO) -# define SIGNIFICAND_GE_HEX_80(X,HI,LO) ((X)->significand >= 0x ## HI ## LO) -# define SIGNIFICAND_LT_HEX_80(X,HI,LO) ((X)->significand < 0x ## HI ## LO) -# define SIGNIFICAND_LE_HEX_80(X,HI,LO) ((X)->significand <= 0x ## HI ## LO) -#endif - -#define VALUE_EQ_HEX_32(X,EXP,BITS) \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_EQ_HEX_32(X, BITS))) -#define VALUE_GT_HEX_32(X,EXP,BITS) (((X)->exponent > (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_GT_HEX_32(X, BITS)))) -#define VALUE_GE_HEX_32(X,EXP,BITS) (((X)->exponent > (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_GE_HEX_32(X, BITS)))) -#define VALUE_LT_HEX_32(X,EXP,BITS) (((X)->exponent < (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_LT_HEX_32(X, BITS)))) -#define VALUE_LE_HEX_32(X,EXP,BITS) (((X)->exponent < (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_LE_HEX_32(X, BITS)))) - -#define VALUE_EQ_HEX_64(X,EXP,HI,LO) \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_EQ_HEX_64(X, HI, LO))) -#define VALUE_GT_HEX_64(X,EXP,HI,LO) (((X)->exponent > (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_GT_HEX_64(X, HI, LO)))) -#define VALUE_GE_HEX_64(X,EXP,HI,LO) (((X)->exponent > (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_GE_HEX_64(X, HI, LO)))) -#define VALUE_LT_HEX_64(X,EXP,HI,LO) (((X)->exponent < (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_LT_HEX_64(X, HI, LO)))) -#define VALUE_LE_HEX_64(X,EXP,HI,LO) (((X)->exponent < (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_LE_HEX_64(X, HI, LO)))) - -#define VALUE_EQ_HEX_80(X,EXP,HI,LO) \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_EQ_HEX_80(X, HI, LO))) -#define VALUE_GT_HEX_80(X,EXP,HI,LO) (((X)->exponent > (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_GT_HEX_80(X, HI, LO)))) -#define VALUE_GE_HEX_80(X,EXP,HI,LO) (((X)->exponent > (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_GE_HEX_80(X, HI, LO)))) -#define VALUE_LT_HEX_80(X,EXP,HI,LO) (((X)->exponent < (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_LT_HEX_80(X, HI, LO)))) -#define VALUE_LE_HEX_80(X,EXP,HI,LO) (((X)->exponent < (EXP)) || \ - (((X)->exponent == (EXP)) && (SIGNIFICAND_LE_HEX_80(X, HI, LO)))) - -/* macros to compare two long doubles */ - -#define SIGNIFICAND_EQ_32(X,Y) ((X)->significand == (Y)->significand) -#define SIGNIFICAND_GT_32(X,Y) ((X)->significand > (Y)->significand) -#define SIGNIFICAND_GE_32(X,Y) ((X)->significand >= (Y)->significand) -#define SIGNIFICAND_LT_32(X,Y) ((X)->significand < (Y)->significand) -#define SIGNIFICAND_LE_32(X,Y) ((X)->significand <= (Y)->significand) - -#if defined(SIZE_INT_32) -# define SIGNIFICAND_EQ_64(X,Y) \ - (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand == (Y)->lo_significand)) -# define SIGNIFICAND_GT_64(X,Y) (((X)->hi_significand > (Y)->hi_significand) || \ - (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand > (Y)->lo_significand))) -# define SIGNIFICAND_GE_64(X,Y) (((X)->hi_significand > (Y)->hi_significand) || \ - (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand >= (Y)->lo_significand))) -# define SIGNIFICAND_LT_64(X,Y) (((X)->hi_significand < (Y)->hi_significand) || \ - (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand < (Y)->lo_significand))) -# define SIGNIFICAND_LE_64(X,Y) (((X)->hi_significand < (Y)->hi_significand) || \ - (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand <= (Y)->lo_significand))) -#elif defined(SIZE_INT_64) -# define SIGNIFICAND_EQ_64(X,Y) ((X)->significand == (Y)->significand) -# define SIGNIFICAND_GT_64(X,Y) ((X)->significand > (Y)->significand) -# define SIGNIFICAND_GE_64(X,Y) ((X)->significand >= (Y)->significand) -# define SIGNIFICAND_LT_64(X,Y) ((X)->significand < (Y)->significand) -# define SIGNIFICAND_LE_64(X,Y) ((X)->significand <= (Y)->significand) +#define ASM_SIZE_DIRECTIVE(name) +#define ASM_TYPE_DIRECTIVE(name,T) #endif - -#if defined(SIZE_INT_32) -# define SIGNIFICAND_EQ_80(X,Y) \ - (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand == (Y)->lo_significand)) -# define SIGNIFICAND_GT_80(X,Y) (((X)->hi_significand > (Y)->hi_significand) || \ - (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand > (Y)->lo_significand))) -# define SIGNIFICAND_GE_80(X,Y) (((X)->hi_significand > (Y)->hi_significand) || \ - (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand >= (Y)->lo_significand))) -# define SIGNIFICAND_LT_80(X,Y) (((X)->hi_significand < (Y)->hi_significand) || \ - (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand < (Y)->lo_significand))) -# define SIGNIFICAND_LE_80(X,Y) (((X)->hi_significand < (Y)->hi_significand) || \ - (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand <= (Y)->lo_significand))) -#elif defined(SIZE_INT_64) -# define SIGNIFICAND_EQ_80(X,Y) ((X)->significand == (Y)->significand) -# define SIGNIFICAND_GT_80(X,Y) ((X)->significand > (Y)->significand) -# define SIGNIFICAND_GE_80(X,Y) ((X)->significand >= (Y)->significand) -# define SIGNIFICAND_LT_80(X,Y) ((X)->significand < (Y)->significand) -# define SIGNIFICAND_LE_80(X,Y) ((X)->significand <= (Y)->significand) -#endif - -#define VALUE_EQ_32(X,Y) \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_EQ_32(X, Y))) -#define VALUE_GT_32(X,Y) (((X)->exponent > (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GT_32(X, Y)))) -#define VALUE_GE_32(X,Y) (((X)->exponent > (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GE_32(X, Y)))) -#define VALUE_LT_32(X,Y) (((X)->exponent < (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LT_32(X, Y)))) -#define VALUE_LE_32(X,Y) (((X)->exponent < (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LE_32(X, Y)))) - -#define VALUE_EQ_64(X,Y) \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_EQ_64(X, Y))) -#define VALUE_GT_64(X,Y) (((X)->exponent > (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GT_64(X, Y)))) -#define VALUE_GE_64(X,Y) (((X)->exponent > (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GE_64(X, Y)))) -#define VALUE_LT_64(X,Y) (((X)->exponent < (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LT_64(X, Y)))) -#define VALUE_LE_64(X,Y) (((X)->exponent < (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LE_64(X, Y)))) - -#define VALUE_EQ_80(X,Y) \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_EQ_80(X, Y))) -#define VALUE_GT_80(X,Y) (((X)->exponent > (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GT_80(X, Y)))) -#define VALUE_GE_80(X,Y) (((X)->exponent > (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GE_80(X, Y)))) -#define VALUE_LT_80(X,Y) (((X)->exponent < (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LT_80(X, Y)))) -#define VALUE_LE_80(X,Y) (((X)->exponent < (Y)->exponent) || \ - (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LE_80(X, Y)))) - -/* add/subtract 1 ulp macros */ - -#if defined(SIZE_INT_32) -# define ADD_ULP_80(X) \ - if ((++(X)->lo_significand == 0) && \ - (++(X)->hi_significand == (((X)->exponent == 0) ? 0x80000000 : 0))) \ - { \ - (X)->hi_significand |= 0x80000000; \ - ++(X)->exponent; \ - } -# define SUB_ULP_80(X) \ - if (--(X)->lo_significand == 0xFFFFFFFF) { \ - --(X)->hi_significand; \ - if (((X)->exponent != 0) && \ - ((X)->hi_significand == 0x7FFFFFFF) && \ - (--(X)->exponent != 0)) \ - { \ - (X)->hi_significand |= 0x80000000; \ - } \ - } -#elif defined(SIZE_INT_64) -# define ADD_ULP_80(X) \ - if (++(X)->significand == (((X)->exponent == 0) ? 0x8000000000000000 : 0))) { \ - (X)->significand |= 0x8000000000000000; \ - ++(X)->exponent; \ - } -# define SUB_ULP_80(X) \ - { \ - --(X)->significand; \ - if (((X)->exponent != 0) && \ - ((X)->significand == 0x7FFFFFFFFFFFFFFF) && \ - (--(X)->exponent != 0)) \ - { \ - (X)->significand |= 0x8000000000000000; \ - } \ - } -#endif - - -/* error codes */ - -#define DOMAIN 1 /* argument domain error */ -#define SING 2 /* argument singularity */ -#define OVERFLOW 3 /* overflow range error */ -#define UNDERFLOW 4 /* underflow range error */ -#define TLOSS 5 /* total loss of precision */ -#define PLOSS 6 /* partial loss of precision */ - -/* */ - -#define VOLATILE_32 /*volatile*/ -#define VOLATILE_64 /*volatile*/ -#define VOLATILE_80 /*volatile*/ - -#define QUAD_TYPE _Quad - -#endif /*__LIBM_SUPPORT_H_INCLUDED__*/ |