364 lines
14 KiB
C
364 lines
14 KiB
C
//
|
|
// 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);
|
|
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)
|
|
};
|
|
|
|
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
|
|
|
|
#elif defined _LIBC
|
|
|
|
# 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
|
|
|
|
#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
|