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glibc/sysdeps/ia64/fpu/libm_support.h

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/* file: libm_support.h */
// Copyright (c) 2000 - 2002, Intel Corporation
// All rights reserved.
//
// Contributed 2000 by the Intel Numerics Group, Intel Corporation
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// * Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// * 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// 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.
//
// History: 02/02/2000 Initial version
// 2/28/2000 added tags for logb and nextafter
// 3/22/2000 Changes to support _LIB_VERSIONIMF 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
// 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
//
void __libm_sincos_pi4(double,double*,double*,int);
void __libm_y0y1(double , double *, double *);
void __libm_j0j1(double , double *, double *);
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);
double __libm_copysign (double, double);
float __libm_copysignf (float, float);
long double __libm_copysignl (long double, long 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 double fabsl(long double);
#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(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_INT_32) || defined(SIZE_LONG_INT_64))
#error long int size not established; define SIZE_LONG_INT_32 or SIZE_LONG_INT_64
#endif
#if (defined(SIZE_LONG_INT_32) && defined(SIZE_LONG_INT_64))
#error multiple long int size definitions; define SIZE_LONG_INT_32 or SIZE_LONG_INT_64
#endif
#if !(defined(SIZE_LONG_LONG_INT_32) || defined(SIZE_LONG_LONG_INT_64))
#error long long int size not established; define SIZE_LONG_LONG_INT_32 or SIZE_LONG_LONG_INT_64
#endif
#if (defined(SIZE_LONG_LONG_INT_32) && defined(SIZE_LONG_LONG_INT_64))
#error multiple long long int size definitions; define SIZE_LONG_LONG_INT_32 or SIZE_LONG_LONG_INT_64
#endif
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 */
remquol_by_zero, /* 180 */
remquo_by_zero, /* 181 */
remquof_by_zero, /* 182 */
lrintl_large, lrint_large, lrintf_large, /* 183, 184, 185 */
llrintl_large, llrint_large, llrintf_large, /* 186, 187, 188 */
lroundl_large, lround_large, lroundf_large, /* 189, 190, 191 */
llroundl_large, llround_large, llroundf_large, /* 192, 193, 194 */
fdiml_overflow, fdim_overflow, fdimf_overflow, /* 195, 196, 197 */
nexttowardl_overflow, nexttoward_overflow,
nexttowardf_overflow, /* 198, 199, 200 */
scalblnl_overflow, scalblnl_underflow, /* 201, 202 */
scalbln_overflow, scalbln_underflow, /* 203, 204 */
scalblnf_overflow, scalblnf_underflow, /* 205, 206 */
erfcl_underflow, erfc_underflow, erfcf_underflow, /* 207, 208, 209 */
acosdl_gt_one, acosd_gt_one, acosdf_gt_one, /* 210, 211, 212 */
asindl_gt_one, asind_gt_one, asindf_gt_one, /* 213, 214, 215 */
atan2dl_zero, atan2d_zero, atan2df_zero, /* 216, 217, 218 */
tandl_overflow, tand_overflow, tandf_overflow, /* 219, 220, 221 */
cotdl_overflow, cotd_overflow, cotdf_overflow, /* 222, 223, 224 */
cotl_overflow, cot_overflow, cotf_overflow, /* 225, 226, 227 */
sinhcoshl_overflow, sinhcosh_overflow, sinhcoshf_overflow, /* 228, 229, 230 */
annuityl_by_zero, annuity_by_zero, annuityf_by_zero, /* 231, 232, 233 */
annuityl_less_m1, annuity_less_m1, annuityf_less_m1, /* 234, 235, 236 */
annuityl_overflow, annuity_overflow, annuityf_overflow, /* 237, 238, 239 */
annuityl_underflow, annuity_underflow, annuityf_underflow, /* 240, 241, 242 */
compoundl_by_zero, compound_by_zero, compoundf_by_zero, /* 243, 244, 245 */
compoundl_less_m1, compound_less_m1, compoundf_less_m1, /* 246, 247, 248 */
compoundl_overflow, compound_overflow, compoundf_overflow, /* 249, 250, 251 */
compoundl_underflow, compound_underflow, compoundf_underflow, /* 252, 253, 254 */
tgammal_overflow, tgammal_negative, tgammal_reserve, /* 255, 256, 257 */
tgamma_overflow, tgamma_negative, tgamma_reserve, /* 258, 259, 260 */
tgammaf_overflow, tgammaf_negative, tgammaf_reserve, /* 261, 262, 263 */
} error_types;
void __libm_error_support(void*,void*,void*,error_types);
#ifdef _LIBC
libc_hidden_proto(__libm_error_support)
#endif
#define HI_SIGNIFICAND_LESS(X, HI) ((X)->hi_significand < 0x ## HI)
#define f64abs(x) ((x) < 0.0 ? -(x) : (x))
#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
#define EXPINF_32 0x00FF
#define EXPINF_64 0x07FF
#define EXPINF_80 0x7FFF
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
};
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
};
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
};
#endif /*__USE_EXTERNAL_FPMEMTYP_H__*/
/* macros to form a double value in hex representation (unsigned int type) */
#define DOUBLE_HEX(hi,lo) 0x##lo,0x##hi /*LITTLE_ENDIAN*/
/* macros to form a long double value in hex representation (unsigned short type) */
#if defined(_WIN32) || defined(_WIN64)
#define LDOUBLE_ALIGN 16
#else
#define LDOUBLE_ALIGN 12
#endif
#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)
#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
#if (defined(_WIN32) && !defined(_WIN64))
#define FP80_DECLARE()
#define _FPC_64 0x0300
static unsigned short __wControlWord, __wNewControlWord;
#define FP80_SET() { \
__asm { fnstcw word ptr [__wControlWord] } \
__wNewControlWord = __wControlWord | _FPC_64; \
__asm { fldcw word ptr [__wNewControlWord] } \
}
#define FP80_RESET() { \
__asm { fldcw word ptr [__wControlWord] } \
}
#else /* defined(_WIN32) && !defined(_WIN64) */
#define FP80_DECLARE()
#define FP80_SET()
#define FP80_RESET()
#endif /* defined(_WIN32) && !defined(_WIN64) */
#ifdef _LIBC
# include <math.h>
#else
static const unsigned INF[] = {
DOUBLE_HEX(7ff00000, 00000000),
DOUBLE_HEX(fff00000, 00000000)
};
static const double _zeroo = 0.0;
static const double _bigg = 1.0e300;
static const double _ponee = 1.0;
static const double _nonee = -1.0;
#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
struct exceptionf
{
int type;
char *name;
float arg1, arg2, retval;
};
# ifdef __cplusplus
struct __exception
{
int type;
char *name;
double arg1, arg2, retval;
};
# else
# ifndef _LIBC
struct exception
{
int type;
char *name;
double arg1, arg2, retval;
};
# endif
# endif
struct exceptionl
{
int type;
char *name;
long double arg1, arg2, retval;
};
#ifdef _MS_
#define MATHERR_F _matherrf
#define MATHERR_D _matherr
#else
#define MATHERR_F matherrf
#define MATHERR_D matherr
#endif
# ifdef __cplusplus
#define EXC_DECL_D __exception
#else
// exception is a reserved name in C++
#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_VERSIONIMF
#ifndef _LIBC
typedef enum
{
_IEEE_ = -1, // IEEE-like behavior
_SVID_, // SysV, Rel. 4 behavior
_XOPEN_, // Unix98
_POSIX_, // Posix
_ISOC_ // ISO C9X
} _LIB_VERSION_TYPE;
#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 */
// This is a run-time variable and may affect
// floating point behavior of the libm functions
#endif
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