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//
// Copyright (C) 2000, 2001, Intel Corporation
// All rights reserved.
//
// 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
// 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://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_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_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.
//
#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);
#if !(defined(SIZE_INT_32) || defined(SIZE_INT_64))
#error integer size not established; define SIZE_INT_32 or SIZE_INT_64
#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;
};
#define HI_SIGNIFICAND_LESS(X, HI) ((X)->hi_significand < 0x ## HI)
#define f64abs(x) ((x) < 0.0 ? -(x) : (x))
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);
#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)
};
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_VERSION
#ifndef _LIBC
typedef enum
{
_IEEE_ = -1, // IEEE-like behavior
_SVID_, // SysV, Rel. 4 behavior
_XOPEN_, // Unix98
_POSIX_, // Posix
_ISOC_ // ISO C9X
} _LIB_VERSION_TYPE;
extern _LIB_VERSION_TYPE _LIB_VERSION;
#endif
// This is a run-time variable and may effect
// floating point behavior of the libm functions
#endif /* __ASSEMBLER__ */
/* Support for compatible assembler handling. */
#if !defined L && defined _LIBC
#define L(name) .L##name
#endif
#ifdef __ELF__
#define ASM_SIZE_DIRECTIVE(name) .size name,.-name
#define ASM_TYPE_DIRECTIVE(name,T) .type name,T
#else
#define ASM_SIZE_DIRECTIVE(name)
#define ASM_TYPE_DIRECTIVE(name,T)
#endif
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