Specialize fdlibm to jerry

Keep IEEE code paths only:
* removed SVID, XOPEN, POSIX code paths from everywhere.
* deleted s_lib_version.c, as version is only useful if multiple
  standards are supported.
* deleted k_standard.c, as it handles non-IEEE exception cases only.
* renamed the e_{acos,asin,atan2,exp,fmod,log,pow,sqrt}.c sources as
  s_.*, dropped the __ieee754_ prefix from the names of the
  appropriate functions therein, and deleted the
  w_{acos,asin,atan2,exp,fmod,log,pow,sqrt}.c wrapper code.

Keep C99 declaration variants only:
* removed old C-style function declaration variants.
* removed data declaration variants where const qualifier was not
  used.

Clean unused sources/functions:
* removed s_{rint,significand,tanh}.c and the appropriate functions
  defined therein.

JerryScript-DCO-1.0-Signed-off-by: Akos Kiss akiss@inf.u-szeged.hu
This commit is contained in:
Akos Kiss
2016-03-13 22:30:47 +01:00
parent d674b92f26
commit 397dff81ee
38 changed files with 266 additions and 1905 deletions
+1 -18
View File
@@ -23,11 +23,7 @@
/*
* Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
*/
#ifdef __STDC__
static const int two_over_pi[] = {
#else
static int two_over_pi[] = {
#endif
0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
@@ -41,11 +37,7 @@ static int two_over_pi[] = {
0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B,
};
#ifdef __STDC__
static const int npio2_hw[] = {
#else
static int npio2_hw[] = {
#endif
0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C,
0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C,
0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A,
@@ -64,11 +56,7 @@ static int npio2_hw[] = {
* pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3)
*/
#ifdef __STDC__
static const double
#else
static double
#endif
zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
@@ -80,12 +68,7 @@ pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
#ifdef __STDC__
int __ieee754_rem_pio2(double x, double *y)
#else
int __ieee754_rem_pio2(x,y)
double x,y[];
#endif
int __ieee754_rem_pio2(double x, double *y)
{
double z,w,t,r,fn;
double tx[3];
+24 -150
View File
@@ -24,56 +24,17 @@
#ifdef __LITTLE_ENDIAN
#define __HI(x) *(1+(int*)&x)
#define __LO(x) *(int*)&x
#define __HIp(x) *(1+(int*)x)
#define __LOp(x) *(int*)x
#else
#define __HI(x) *(int*)&x
#define __LO(x) *(1+(int*)&x)
#define __HIp(x) *(int*)x
#define __LOp(x) *(1+(int*)x)
#endif
#ifdef __STDC__
#define __P(p) p
#else
#define __P(p) ()
#endif
/*
* ANSI/POSIX
*/
extern int signgam;
#define MAXFLOAT ((float)3.40282346638528860e+38)
enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
#define _LIB_VERSION_TYPE enum fdversion
#define _LIB_VERSION _fdlib_version
/* if global variable _LIB_VERSION is not desirable, one may
* change the following to be a constant by:
* #define _LIB_VERSION_TYPE const enum version
* In that case, after one initializes the value _LIB_VERSION (see
* s_lib_version.c) during compile time, it cannot be modified
* in the middle of a program
*/
extern _LIB_VERSION_TYPE _LIB_VERSION;
#define _IEEE_ fdlibm_ieee
#define _SVID_ fdlibm_svid
#define _XOPEN_ fdlibm_xopen
#define _POSIX_ fdlibm_posix
struct exception {
int type;
char *name;
double arg1;
double arg2;
double retval;
};
#define HUGE MAXFLOAT
/*
@@ -93,126 +54,39 @@ struct exception {
/*
* ANSI/POSIX
*/
extern double acos __P((double));
extern double asin __P((double));
extern double atan __P((double));
extern double atan2 __P((double, double));
extern double cos __P((double));
extern double sin __P((double));
extern double tan __P((double));
extern double acos (double);
extern double asin (double);
extern double atan (double);
extern double atan2 (double, double);
extern double cos (double);
extern double sin (double);
extern double tan (double);
extern double cosh __P((double));
extern double sinh __P((double));
extern double tanh __P((double));
extern double exp (double);
extern double log (double);
extern double exp __P((double));
extern double frexp __P((double, int *));
extern double ldexp __P((double, int));
extern double log __P((double));
extern double log10 __P((double));
extern double modf __P((double, double *));
extern double pow (double, double);
extern double sqrt (double);
extern double pow __P((double, double));
extern double sqrt __P((double));
extern double ceil (double);
extern double fabs (double);
extern double floor (double);
extern double fmod (double, double);
extern double ceil __P((double));
extern double fabs __P((double));
extern double floor __P((double));
extern double fmod __P((double, double));
extern double erf __P((double));
extern double erfc __P((double));
extern double gamma __P((double));
extern double hypot __P((double, double));
extern int isnan __P((double));
extern int finite __P((double));
extern double j0 __P((double));
extern double j1 __P((double));
extern double jn __P((int, double));
extern double lgamma __P((double));
extern double y0 __P((double));
extern double y1 __P((double));
extern double yn __P((int, double));
extern double acosh __P((double));
extern double asinh __P((double));
extern double atanh __P((double));
extern double cbrt __P((double));
extern double logb __P((double));
extern double nextafter __P((double, double));
extern double remainder __P((double, double));
#ifdef _SCALB_INT
extern double scalb __P((double, int));
#else
extern double scalb __P((double, double));
#endif
extern int matherr __P((struct exception *));
/*
* IEEE Test Vector
*/
extern double significand __P((double));
extern int isnan (double);
extern int finite (double);
/*
* Functions callable from C, intended to support IEEE arithmetic.
*/
extern double copysign __P((double, double));
extern int ilogb __P((double));
extern double rint __P((double));
extern double scalbn __P((double, int));
/*
* BSD math library entry points
*/
extern double expm1 __P((double));
extern double log1p __P((double));
/*
* Reentrant version of gamma & lgamma; passes signgam back by reference
* as the second argument; user must allocate space for signgam.
*/
#ifdef _REENTRANT
extern double gamma_r __P((double, int *));
extern double lgamma_r __P((double, int *));
#endif /* _REENTRANT */
extern double copysign (double, double);
extern double scalbn (double, int);
/* ieee style elementary functions */
extern double __ieee754_sqrt __P((double));
extern double __ieee754_acos __P((double));
extern double __ieee754_acosh __P((double));
extern double __ieee754_log __P((double));
extern double __ieee754_atanh __P((double));
extern double __ieee754_asin __P((double));
extern double __ieee754_atan2 __P((double,double));
extern double __ieee754_exp __P((double));
extern double __ieee754_cosh __P((double));
extern double __ieee754_fmod __P((double,double));
extern double __ieee754_pow __P((double,double));
extern double __ieee754_lgamma_r __P((double,int *));
extern double __ieee754_gamma_r __P((double,int *));
extern double __ieee754_lgamma __P((double));
extern double __ieee754_gamma __P((double));
extern double __ieee754_log10 __P((double));
extern double __ieee754_sinh __P((double));
extern double __ieee754_hypot __P((double,double));
extern double __ieee754_j0 __P((double));
extern double __ieee754_j1 __P((double));
extern double __ieee754_y0 __P((double));
extern double __ieee754_y1 __P((double));
extern double __ieee754_jn __P((int,double));
extern double __ieee754_yn __P((int,double));
extern double __ieee754_remainder __P((double,double));
extern int __ieee754_rem_pio2 __P((double,double*));
#ifdef _SCALB_INT
extern double __ieee754_scalb __P((double,int));
#else
extern double __ieee754_scalb __P((double,double));
#endif
extern int __ieee754_rem_pio2 (double,double*);
/* fdlibm kernel function */
extern double __kernel_standard __P((double,double,int));
extern double __kernel_sin __P((double,double,int));
extern double __kernel_cos __P((double,double));
extern double __kernel_tan __P((double,double,int));
extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
extern double __kernel_sin (double,double,int);
extern double __kernel_cos (double,double);
extern double __kernel_tan (double,double,int);
extern int __kernel_rem_pio2 (double*,double*,int,int,int,const int*);
+5 -14
View File
@@ -26,11 +26,11 @@
* cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x
* where the remez error is
*
* | 2 4 6 8 10 12 14 | -58
* |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2
* | |
* | 2 4 6 8 10 12 14 | -58
* |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2
* | |
*
* 4 6 8 10 12 14
* 4 6 8 10 12 14
* 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then
* cos(x) = 1 - x*x/2 + r
* since cos(x+y) ~ cos(x) - sin(x)*y
@@ -48,11 +48,7 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
@@ -61,12 +57,7 @@ C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */
C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */
#ifdef __STDC__
double __kernel_cos(double x, double y)
#else
double __kernel_cos(x, y)
double x,y;
#endif
double __kernel_cos(double x, double y)
{
double a,hz,z,r,qx;
int ix;
+6 -23
View File
@@ -28,7 +28,7 @@
* (2/pi) is represented by an array of 24-bit integers in ipio2[].
*
* Input parameters:
* x[] The input value (must be positive) is broken into nx
* x[] The input value (must be positive) is broken into nx
* pieces of 24-bit integers in double precision format.
* x[i] will be the i-th 24 bit of x. The scaled exponent
* of x[0] is given in input parameter e0 (i.e., x[0]*2^e0
@@ -61,7 +61,7 @@
*
* nx dimension of x[]
*
* prec an integer indicating the precision:
* prec an integer indicating the precision:
* 0 24 bits (single)
* 1 53 bits (double)
* 2 64 bits (extended)
@@ -80,11 +80,11 @@
*
* Here is the description of some local variables:
*
* jk jk+1 is the initial number of terms of ipio2[] needed
* jk jk+1 is the initial number of terms of ipio2[] needed
* in the computation. The recommended value is 2,3,4,
* 6 for single, double, extended,and quad.
*
* jz local integer variable indicating the number of
* jz local integer variable indicating the number of
* terms of ipio2[] used.
*
* jx nx - 1
@@ -98,7 +98,7 @@
*
* jp jp+1 is the number of terms in PIo2[] needed, jp = jk.
*
* q[] double array with integral value, representing the
* q[] double array with integral value, representing the
* 24-bits chunk of the product of x and 2/pi.
*
* q0 the corresponding exponent of q[0]. Note that the
@@ -129,17 +129,9 @@
#include "fdlibm.h"
#ifdef __STDC__
static const int init_jk[] = {2,3,4,6}; /* initial value for jk */
#else
static int init_jk[] = {2,3,4,6};
#endif
#ifdef __STDC__
static const double PIo2[] = {
#else
static double PIo2[] = {
#endif
1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */
7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */
5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */
@@ -150,22 +142,13 @@ static double PIo2[] = {
2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */
};
#ifdef __STDC__
static const double
#else
static double
#endif
zero = 0.0,
one = 1.0,
two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */
#ifdef __STDC__
int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, const int *ipio2)
#else
int __kernel_rem_pio2(x,y,e0,nx,prec,ipio2)
double x[], y[]; int e0,nx,prec; int ipio2[];
#endif
int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, const int *ipio2)
{
int jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
double z,fw,f[20],fq[20],q[20];
+4 -13
View File
@@ -26,9 +26,9 @@
* sin(x) ~ x + S1*x + ... + S6*x
* where
*
* |sin(x) 2 4 6 8 10 12 | -58
* |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2
* | x |
* |sin(x) 2 4 6 8 10 12 | -58
* |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2
* | x |
*
* 4. sin(x+y) = sin(x) + sin'(x')*y
* ~ sin(x) + (1-x*x/2)*y
@@ -41,11 +41,7 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
@@ -54,12 +50,7 @@ S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */
S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */
#ifdef __STDC__
double __kernel_sin(double x, double y, int iy)
#else
double __kernel_sin(x, y, iy)
double x,y; int iy; /* iy=0 if y is zero */
#endif
double __kernel_sin(double x, double y, int iy)
{
double z,r,v;
int ix;
-733
View File
@@ -1,733 +0,0 @@
/* @(#)k_standard.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*
*/
#include "fdlibm.h"
#include <errno.h>
#ifndef _USE_WRITE
#include <stdio.h> /* fputs(), stderr */
// #define WRITE2(u,v) fputs(u, stderr)
#else /* !defined(_USE_WRITE) */
#include <unistd.h> /* write */
// #define WRITE2(u,v) write(2, u, v)
#undef fflush
#endif /* !defined(_USE_WRITE) */
static double zero = 0.0; /* used as const */
/*
* Standard conformance (non-IEEE) on exception cases.
* Mapping:
* 1 -- acos(|x|>1)
* 2 -- asin(|x|>1)
* 3 -- atan2(+-0,+-0)
* 4 -- hypot overflow
* 5 -- cosh overflow
* 6 -- exp overflow
* 7 -- exp underflow
* 8 -- y0(0)
* 9 -- y0(-ve)
* 10-- y1(0)
* 11-- y1(-ve)
* 12-- yn(0)
* 13-- yn(-ve)
* 14-- lgamma(finite) overflow
* 15-- lgamma(-integer)
* 16-- log(0)
* 17-- log(x<0)
* 18-- log10(0)
* 19-- log10(x<0)
* 20-- pow(0.0,0.0)
* 21-- pow(x,y) overflow
* 22-- pow(x,y) underflow
* 23-- pow(0,negative)
* 24-- pow(neg,non-integral)
* 25-- sinh(finite) overflow
* 26-- sqrt(negative)
* 27-- fmod(x,0)
* 28-- remainder(x,0)
* 29-- acosh(x<1)
* 30-- atanh(|x|>1)
* 31-- atanh(|x|=1)
* 32-- scalb overflow
* 33-- scalb underflow
* 34-- j0(|x|>X_TLOSS)
* 35-- y0(x>X_TLOSS)
* 36-- j1(|x|>X_TLOSS)
* 37-- y1(x>X_TLOSS)
* 38-- jn(|x|>X_TLOSS, n)
* 39-- yn(x>X_TLOSS, n)
* 40-- gamma(finite) overflow
* 41-- gamma(-integer)
* 42-- pow(NaN,0.0)
*/
#ifdef __STDC__
double __kernel_standard(double x, double y, int type)
#else
double __kernel_standard(x,y,type)
double x,y; int type;
#endif
{
struct exception exc;
#ifndef HUGE_VAL /* this is the only routine that uses HUGE_VAL */
#define HUGE_VAL inf
double inf = 0.0;
__HI(inf) = 0x7ff00000; /* set inf to infinite */
#endif
#ifdef _USE_WRITE
(void) fflush(stdout);
#endif
exc.arg1 = x;
exc.arg2 = y;
switch(type) {
case 1:
/* acos(|x|>1) */
exc.type = DOMAIN;
exc.name = "acos";
exc.retval = zero;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if(_LIB_VERSION == _SVID_) {
// // (void) WRITE2("acos: DOMAIN error\n", 19);
// }
// errno = EDOM;
// }
break;
case 2:
/* asin(|x|>1) */
exc.type = DOMAIN;
exc.name = "asin";
exc.retval = zero;
// if(_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if(_LIB_VERSION == _SVID_) {
// // (void) WRITE2("asin: DOMAIN error\n", 19);
// }
// errno = EDOM;
// }
break;
case 3:
/* atan2(+-0,+-0) */
exc.arg1 = y;
exc.arg2 = x;
exc.type = DOMAIN;
exc.name = "atan2";
exc.retval = zero;
// if(_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if(_LIB_VERSION == _SVID_) {
// // (void) WRITE2("atan2: DOMAIN error\n", 20);
// }
// errno = EDOM;
// }
break;
case 4:
/* hypot(finite,finite) overflow */
exc.type = OVERFLOW;
exc.name = "hypot";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 5:
/* cosh(finite) overflow */
exc.type = OVERFLOW;
exc.name = "cosh";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 6:
/* exp(finite) overflow */
exc.type = OVERFLOW;
exc.name = "exp";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 7:
/* exp(finite) underflow */
exc.type = UNDERFLOW;
exc.name = "exp";
exc.retval = zero;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 8:
/* y0(0) = -inf */
exc.type = DOMAIN; /* should be SING for IEEE */
exc.name = "y0";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("y0: DOMAIN error\n", 17);
// }
// errno = EDOM;
// }
break;
case 9:
/* y0(x<0) = NaN */
exc.type = DOMAIN;
exc.name = "y0";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("y0: DOMAIN error\n", 17);
// }
// errno = EDOM;
// }
break;
case 10:
/* y1(0) = -inf */
exc.type = DOMAIN; /* should be SING for IEEE */
exc.name = "y1";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("y1: DOMAIN error\n", 17);
// }
// errno = EDOM;
// }
break;
case 11:
/* y1(x<0) = NaN */
exc.type = DOMAIN;
exc.name = "y1";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("y1: DOMAIN error\n", 17);
// }
// errno = EDOM;
// }
break;
case 12:
/* yn(n,0) = -inf */
exc.type = DOMAIN; /* should be SING for IEEE */
exc.name = "yn";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("yn: DOMAIN error\n", 17);
// }
// errno = EDOM;
// }
break;
case 13:
/* yn(x<0) = NaN */
exc.type = DOMAIN;
exc.name = "yn";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("yn: DOMAIN error\n", 17);
// }
// errno = EDOM;
// }
break;
case 14:
/* lgamma(finite) overflow */
exc.type = OVERFLOW;
exc.name = "lgamma";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 15:
/* lgamma(-integer) or lgamma(0) */
exc.type = SING;
exc.name = "lgamma";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("lgamma: SING error\n", 19);
// }
// errno = EDOM;
// }
break;
case 16:
/* log(0) */
exc.type = SING;
exc.name = "log";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("log: SING error\n", 16);
// }
// errno = EDOM;
// }
break;
case 17:
/* log(x<0) */
exc.type = DOMAIN;
exc.name = "log";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("log: DOMAIN error\n", 18);
// }
// errno = EDOM;
// }
break;
case 18:
/* log10(0) */
exc.type = SING;
exc.name = "log10";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("log10: SING error\n", 18);
// }
// errno = EDOM;
// }
break;
case 19:
/* log10(x<0) */
exc.type = DOMAIN;
exc.name = "log10";
if (_LIB_VERSION == _SVID_)
exc.retval = -HUGE;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("log10: DOMAIN error\n", 20);
// }
// errno = EDOM;
// }
break;
case 20:
/* pow(0.0,0.0) */
/* error only if _LIB_VERSION == _SVID_ */
exc.type = DOMAIN;
exc.name = "pow";
exc.retval = zero;
// if (_LIB_VERSION != _SVID_) exc.retval = 1.0;
// else if (!matherr(&exc)) {
// // (void) WRITE2("pow(0,0): DOMAIN error\n", 23);
// errno = EDOM;
// }
break;
case 21:
/* pow(x,y) overflow */
exc.type = OVERFLOW;
exc.name = "pow";
if (_LIB_VERSION == _SVID_) {
exc.retval = HUGE;
y *= 0.5;
if(x<zero&&rint(y)!=y) exc.retval = -HUGE;
} else {
exc.retval = HUGE_VAL;
y *= 0.5;
if(x<zero&&rint(y)!=y) exc.retval = -HUGE_VAL;
}
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 22:
/* pow(x,y) underflow */
exc.type = UNDERFLOW;
exc.name = "pow";
exc.retval = zero;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 23:
/* 0**neg */
exc.type = DOMAIN;
exc.name = "pow";
if (_LIB_VERSION == _SVID_)
exc.retval = zero;
else
exc.retval = -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("pow(0,neg): DOMAIN error\n", 25);
// }
// errno = EDOM;
// }
break;
case 24:
/* neg**non-integral */
exc.type = DOMAIN;
exc.name = "pow";
if (_LIB_VERSION == _SVID_)
exc.retval = zero;
else
exc.retval = zero/zero; /* X/Open allow NaN */
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("neg**non-integral: DOMAIN error\n", 32);
// }
// errno = EDOM;
// }
break;
case 25:
/* sinh(finite) overflow */
exc.type = OVERFLOW;
exc.name = "sinh";
if (_LIB_VERSION == _SVID_)
exc.retval = ( (x>zero) ? HUGE : -HUGE);
else
exc.retval = ( (x>zero) ? HUGE_VAL : -HUGE_VAL);
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 26:
/* sqrt(x<0) */
exc.type = DOMAIN;
exc.name = "sqrt";
if (_LIB_VERSION == _SVID_)
exc.retval = zero;
else
exc.retval = zero/zero;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("sqrt: DOMAIN error\n", 19);
// }
// errno = EDOM;
// }
break;
case 27:
/* fmod(x,0) */
exc.type = DOMAIN;
exc.name = "fmod";
if (_LIB_VERSION == _SVID_)
exc.retval = x;
else
exc.retval = zero/zero;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("fmod: DOMAIN error\n", 20);
// }
// errno = EDOM;
// }
break;
case 28:
/* remainder(x,0) */
exc.type = DOMAIN;
exc.name = "remainder";
exc.retval = zero/zero;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("remainder: DOMAIN error\n", 24);
// }
// errno = EDOM;
// }
break;
case 29:
/* acosh(x<1) */
exc.type = DOMAIN;
exc.name = "acosh";
exc.retval = zero/zero;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("acosh: DOMAIN error\n", 20);
// }
// errno = EDOM;
// }
break;
case 30:
/* atanh(|x|>1) */
exc.type = DOMAIN;
exc.name = "atanh";
exc.retval = zero/zero;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("atanh: DOMAIN error\n", 20);
// }
// errno = EDOM;
// }
break;
case 31:
/* atanh(|x|=1) */
exc.type = SING;
exc.name = "atanh";
exc.retval = x/zero; /* sign(x)*inf */
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("atanh: SING error\n", 18);
// }
// errno = EDOM;
// }
break;
case 32:
/* scalb overflow; SVID also returns +-HUGE_VAL */
exc.type = OVERFLOW;
exc.name = "scalb";
exc.retval = x > zero ? HUGE_VAL : -HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 33:
/* scalb underflow */
exc.type = UNDERFLOW;
exc.name = "scalb";
exc.retval = copysign(zero,x);
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 34:
/* j0(|x|>X_TLOSS) */
exc.type = TLOSS;
exc.name = "j0";
exc.retval = zero;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2(exc.name, 2);
// // (void) WRITE2(": TLOSS error\n", 14);
// }
// errno = ERANGE;
// }
break;
case 35:
/* y0(x>X_TLOSS) */
exc.type = TLOSS;
exc.name = "y0";
exc.retval = zero;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2(exc.name, 2);
// // (void) WRITE2(": TLOSS error\n", 14);
// }
// errno = ERANGE;
// }
break;
case 36:
/* j1(|x|>X_TLOSS) */
exc.type = TLOSS;
exc.name = "j1";
exc.retval = zero;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2(exc.name, 2);
// // (void) WRITE2(": TLOSS error\n", 14);
// }
// errno = ERANGE;
// }
break;
case 37:
/* y1(x>X_TLOSS) */
exc.type = TLOSS;
exc.name = "y1";
exc.retval = zero;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2(exc.name, 2);
// // (void) WRITE2(": TLOSS error\n", 14);
// }
// errno = ERANGE;
// }
break;
case 38:
/* jn(|x|>X_TLOSS) */
exc.type = TLOSS;
exc.name = "jn";
exc.retval = zero;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2(exc.name, 2);
// // (void) WRITE2(": TLOSS error\n", 14);
// }
// errno = ERANGE;
// }
break;
case 39:
/* yn(x>X_TLOSS) */
exc.type = TLOSS;
exc.name = "yn";
exc.retval = zero;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2(exc.name, 2);
// // (void) WRITE2(": TLOSS error\n", 14);
// }
// errno = ERANGE;
// }
break;
case 40:
/* gamma(finite) overflow */
exc.type = OVERFLOW;
exc.name = "gamma";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = ERANGE;
// else if (!matherr(&exc)) {
// errno = ERANGE;
// }
break;
case 41:
/* gamma(-integer) or gamma(0) */
exc.type = SING;
exc.name = "gamma";
if (_LIB_VERSION == _SVID_)
exc.retval = HUGE;
else
exc.retval = HUGE_VAL;
// if (_LIB_VERSION == _POSIX_)
// errno = EDOM;
// else if (!matherr(&exc)) {
// if (_LIB_VERSION == _SVID_) {
// // (void) WRITE2("gamma: SING error\n", 18);
// }
// errno = EDOM;
// }
break;
case 42:
/* pow(NaN,0.0) */
/* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */
exc.type = DOMAIN;
exc.name = "pow";
exc.retval = x;
// if (_LIB_VERSION == _IEEE_ ||
// _LIB_VERSION == _POSIX_) exc.retval = 1.0;
// else if (!matherr(&exc)) {
// errno = EDOM;
// }
// break;
}
return exc.retval;
}
+5 -7
View File
@@ -10,7 +10,6 @@
* ====================================================
*/
/* INDENT OFF */
/* __kernel_tan( x, y, k )
* kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854
* Input x is assumed to be bounded by ~pi/4 in magnitude.
@@ -26,9 +25,9 @@
* tan(x) ~ x + T1*x + ... + T13*x
* where
*
* |tan(x) 2 4 26 | -59.2
* |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2
* | x |
* |tan(x) 2 4 26 | -59.2
* |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2
* | x |
*
* Note: tan(x+y) = tan(x) + tan'(x)*y
* ~ tan(x) + (1+x*x)*y
@@ -68,10 +67,9 @@ static const double xxx[] = {
#define pio4 xxx[14]
#define pio4lo xxx[15]
#define T xxx
/* INDENT ON */
double
__kernel_tan(double x, double y, int iy) {
double __kernel_tan(double x, double y, int iy)
{
double z, r, v, w, s;
int ix, hx;
+5 -14
View File
@@ -11,14 +11,14 @@
* ====================================================
*/
/* __ieee754_acos(x)
/* acos(x)
* Method :
* acos(x) = pi/2 - asin(x)
* acos(-x) = pi/2 + asin(x)
* For |x|<=0.5
* acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c)
* For x>0.5
* acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2)))
* acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2)))
* = 2asin(sqrt((1-x)/2))
* = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z)
* = 2f + (2c + 2s*z*R(z))
@@ -37,13 +37,9 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
one= 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
@@ -57,12 +53,7 @@ qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
#ifdef __STDC__
double __ieee754_acos(double x)
#else
double __ieee754_acos(x)
double x;
#endif
double acos(double x)
{
double z,p,q,r,w,s,c,df;
int hx,ix;
+2 -11
View File
@@ -11,7 +11,7 @@
* ====================================================
*/
/* __ieee754_asin(x)
/* asin(x)
* Method :
* Since asin(x) = x + x^3/6 + x^5*3/40 + x^7*15/336 + ...
* we approximate asin(x) on [0,0.5] by
@@ -44,11 +44,7 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
huge = 1.000e+300,
pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
@@ -66,12 +62,7 @@ qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
#ifdef __STDC__
double __ieee754_asin(double x)
#else
double __ieee754_asin(x)
double x;
#endif
double asin(double x)
{
double t = 0,w,p,q,c,r,s;
int hx,ix;
+2 -23
View File
@@ -34,33 +34,21 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double atanhi[] = {
#else
static double atanhi[] = {
#endif
4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */
7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */
9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */
1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */
};
#ifdef __STDC__
static const double atanlo[] = {
#else
static double atanlo[] = {
#endif
2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */
3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */
1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */
6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */
};
#ifdef __STDC__
static const double aT[] = {
#else
static double aT[] = {
#endif
3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */
-1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */
1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */
@@ -74,20 +62,11 @@ static double aT[] = {
1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */
};
#ifdef __STDC__
static const double
#else
static double
#endif
static const double
one = 1.0,
huge = 1.0e300;
#ifdef __STDC__
double atan(double x)
#else
double atan(x)
double x;
#endif
double atan(double x)
{
double w,s1,s2,z;
int ix,hx,id;
@@ -12,7 +12,7 @@
*
*/
/* __ieee754_atan2(y,x)
/* atan2(y,x)
* Method :
* 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
* 2. Reduce x to positive by (if x and y are unexceptional):
@@ -41,11 +41,7 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
tiny = 1.0e-300,
zero = 0.0,
pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */
@@ -53,12 +49,7 @@ pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */
pi = 3.1415926535897931160E+00, /* 0x400921FB, 0x54442D18 */
pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */
#ifdef __STDC__
double __ieee754_atan2(double y, double x)
#else
double __ieee754_atan2(y,x)
double y,x;
#endif
double atan2(double y, double x)
{
double z;
int k,m,hx,hy,ix,iy;
+1 -10
View File
@@ -22,18 +22,9 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double huge = 1.0e300;
#else
static double huge = 1.0e300;
#endif
#ifdef __STDC__
double ceil(double x)
#else
double ceil(x)
double x;
#endif
double ceil(double x)
{
int i0,i1,j0;
unsigned i,j;
+1 -6
View File
@@ -19,12 +19,7 @@
#include "fdlibm.h"
#ifdef __STDC__
double copysign(double x, double y)
#else
double copysign(x,y)
double x,y;
#endif
double copysign(double x, double y)
{
__HI(x) = (__HI(x)&0x7fffffff)|(__HI(y)&0x80000000);
return x;
+1 -6
View File
@@ -44,12 +44,7 @@
#include "fdlibm.h"
#ifdef __STDC__
double cos(double x)
#else
double cos(x)
double x;
#endif
double cos(double x)
{
double y[2],z=0.0;
int n, ix;
+4 -13
View File
@@ -10,7 +10,7 @@
* ====================================================
*/
/* __ieee754_exp(x)
/* exp(x)
* Returns the exponential of x.
*
* Method
@@ -28,11 +28,11 @@
* Write
* R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ...
* We use a special Remes algorithm on [0,0.34658] to generate
* a polynomial of degree 5 to approximate R. The maximum error
* a polynomial of degree 5 to approximate R. The maximum error
* of this polynomial approximation is bounded by 2**-59. In
* other words,
* R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5
* (where z=r*r, and the values of P1 to P5 are listed below)
* (where z=r*r, and the values of P1 to P5 are listed below)
* and
* | 5 | -59
* | 2.0+P1*z+...+P5*z - R(z) | <= 2
@@ -75,11 +75,7 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
one = 1.0,
halF[2] = {0.5,-0.5,},
huge = 1.0e+300,
@@ -98,12 +94,7 @@ P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */
#ifdef __STDC__
double __ieee754_exp(double x) /* default IEEE double exp */
#else
double __ieee754_exp(x) /* default IEEE double exp */
double x;
#endif
double exp(double x) /* default IEEE double exp */
{
double y,hi,lo,c,t;
int k = 0,xsb;
+1 -6
View File
@@ -17,12 +17,7 @@
#include "fdlibm.h"
#ifdef __STDC__
double fabs(double x)
#else
double fabs(x)
double x;
#endif
double fabs(double x)
{
__HI(x) &= 0x7fffffff;
return x;
+1 -6
View File
@@ -18,12 +18,7 @@
#include "fdlibm.h"
#ifdef __STDC__
int finite(double x)
#else
int finite(x)
double x;
#endif
int finite(double x)
{
int hx;
hx = __HI(x);
+1 -10
View File
@@ -22,18 +22,9 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double huge = 1.0e300;
#else
static double huge = 1.0e300;
#endif
#ifdef __STDC__
double floor(double x)
#else
double floor(x)
double x;
#endif
double floor(double x)
{
int i0,i1,j0;
unsigned i,j;
+5 -12
View File
@@ -12,25 +12,18 @@
*/
/*
* __ieee754_fmod(x,y)
* fmod(x,y)
* Return x mod y in exact arithmetic
* Method: shift and subtract
*/
#include "fdlibm.h"
#ifdef __STDC__
static const double one = 1.0, Zero[] = {0.0, -0.0,};
#else
static double one = 1.0, Zero[] = {0.0, -0.0,};
#endif
static const double
one = 1.0,
Zero[] = {0.0, -0.0,};
#ifdef __STDC__
double __ieee754_fmod(double x, double y)
#else
double __ieee754_fmod(x,y)
double x,y ;
#endif
double fmod(double x, double y)
{
int n,hx,hy,hz,ix,iy,sx,i;
unsigned lx,ly,lz;
+1 -6
View File
@@ -18,12 +18,7 @@
#include "fdlibm.h"
#ifdef __STDC__
int isnan(double x)
#else
int isnan(x)
double x;
#endif
int isnan(double x)
{
int hx,lx;
hx = (__HI(x)&0x7fffffff);
-35
View File
@@ -1,35 +0,0 @@
/* @(#)s_lib_version.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* MACRO for standards
*/
#include "fdlibm.h"
/*
* define and initialize _LIB_VERSION
*/
#ifdef _POSIX_MODE
_LIB_VERSION_TYPE _LIB_VERSION = _POSIX_;
#else
#ifdef _XOPEN_MODE
_LIB_VERSION_TYPE _LIB_VERSION = _XOPEN_;
#else
#ifdef _SVID3_MODE
_LIB_VERSION_TYPE _LIB_VERSION = _SVID_;
#else /* default _IEEE_MODE */
_LIB_VERSION_TYPE _LIB_VERSION = _IEEE_;
#endif
#endif
#endif
+6 -15
View File
@@ -11,7 +11,7 @@
* ====================================================
*/
/* __ieee754_log(x)
/* log(x)
* Return the logrithm of x
*
* Method :
@@ -24,12 +24,12 @@
* = 2s + 2/3 s**3 + 2/5 s**5 + .....,
* = 2s + s*R
* We use a special Reme algorithm on [0,0.1716] to generate
* a polynomial of degree 14 to approximate R The maximum error
* a polynomial of degree 14 to approximate R The maximum error
* of this polynomial approximation is bounded by 2**-58.45. In
* other words,
* 2 4 6 8 10 12 14
* R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s
* (the values of Lg1 to Lg7 are listed in the program)
* (the values of Lg1 to Lg7 are listed in the program)
* and
* | 2 14 | -58.45
* | Lg1*s +...+Lg7*s - R(z) | <= 2
@@ -64,11 +64,7 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
@@ -80,14 +76,9 @@ Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */
static double zero = 0.0;
static const double zero = 0.0;
#ifdef __STDC__
double __ieee754_log(double x)
#else
double __ieee754_log(x)
double x;
#endif
double log(double x)
{
double hfsq,f,s,z,R,w,t1,t2,dk;
int k,hx,i,j;
@@ -118,7 +109,7 @@ static double zero = 0.0;
if(k==0) return f-R; else {dk=(double)k;
return dk*ln2_hi-((R-dk*ln2_lo)-f);}
}
s = f/(2.0+f);
s = f/(2.0+f);
dk = (double)k;
z = s*s;
i = hx-0x6147a;
+2 -11
View File
@@ -10,7 +10,7 @@
* ====================================================
*/
/* __ieee754_pow(x,y) return x**y
/* pow(x,y) return x**y
*
* n
* Method: Let x = 2 * (1+f)
@@ -57,11 +57,7 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
bp[] = {1.0, 1.5,},
dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
@@ -94,12 +90,7 @@ ivln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */
ivln2_h = 1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2*/
ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/
#ifdef __STDC__
double __ieee754_pow(double x, double y)
#else
double __ieee754_pow(x,y)
double x, y;
#endif
double pow(double x, double y)
{
double z,ax,z_h,z_l,p_h,p_l;
double y1,t1,t2,r,s,t,u,v,w;
-84
View File
@@ -1,84 +0,0 @@
/* @(#)s_rint.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* rint(x)
* Return x rounded to integral value according to the prevailing
* rounding mode.
* Method:
* Using floating addition.
* Exception:
* Inexact flag raised if x not equal to rint(x).
*/
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
TWO52[2]={
4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
-4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
};
#ifdef __STDC__
double rint(double x)
#else
double rint(x)
double x;
#endif
{
int i0,j0,sx;
unsigned i,i1;
double w,t;
i0 = __HI(x);
sx = (i0>>31)&1;
i1 = __LO(x);
j0 = ((i0>>20)&0x7ff)-0x3ff;
if(j0<20) {
if(j0<0) {
if(((i0&0x7fffffff)|i1)==0) return x;
i1 |= (i0&0x0fffff);
i0 &= 0xfffe0000;
i0 |= ((i1|-i1)>>12)&0x80000;
__HI(x)=i0;
w = TWO52[sx]+x;
t = w-TWO52[sx];
i0 = __HI(t);
__HI(t) = (i0&0x7fffffff)|(sx<<31);
return t;
} else {
i = (0x000fffff)>>j0;
if(((i0&i)|i1)==0) return x; /* x is integral */
i>>=1;
if(((i0&i)|i1)!=0) {
if(j0==19) i1 = 0x40000000; else
i0 = (i0&(~i))|((0x20000)>>j0);
}
}
} else if (j0>51) {
if(j0==0x400) return x+x; /* inf or NaN */
else return x; /* x is integral */
} else {
i = ((unsigned)(0xffffffff))>>(j0-20);
if((i1&i)==0) return x; /* x is integral */
i>>=1;
if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-20));
}
__HI(x) = i0;
__LO(x) = i1;
w = TWO52[sx]+x;
return w-TWO52[sx];
}
+3 -12
View File
@@ -20,22 +20,13 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
huge = 1.0e+300,
tiny = 1.0e-300;
#ifdef __STDC__
double scalbn (double x, int n)
#else
double scalbn (x,n)
double x; int n;
#endif
double scalbn (double x, int n)
{
int k,hx,lx;
hx = __HI(x);
-30
View File
@@ -1,30 +0,0 @@
/* @(#)s_significand.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* significand(x) computes just
* scalb(x, (double) -ilogb(x)),
* for exercising the fraction-part(F) IEEE 754-1985 test vector.
*/
#include "fdlibm.h"
#ifdef __STDC__
double significand(double x)
#else
double significand(x)
double x;
#endif
{
return __ieee754_scalb(x,(double) -ilogb(x));
}
+1 -6
View File
@@ -44,12 +44,7 @@
#include "fdlibm.h"
#ifdef __STDC__
double sin(double x)
#else
double sin(x)
double x;
#endif
double sin(double x)
{
double y[2],z=0.0;
int n, ix;
+5 -13
View File
@@ -11,7 +11,7 @@
* ====================================================
*/
/* __ieee754_sqrt(x)
/* sqrt(x)
* Return correctly rounded sqrt.
* ------------------------------------------
* | Use the hardware sqrt if you have one |
@@ -83,18 +83,11 @@
#include "fdlibm.h"
#ifdef __STDC__
static const double one = 1.0, tiny=1.0e-300;
#else
static double one = 1.0, tiny=1.0e-300;
#endif
static const double
one = 1.0,
tiny = 1.0e-300;
#ifdef __STDC__
double __ieee754_sqrt(double x)
#else
double __ieee754_sqrt(x)
double x;
#endif
double sqrt(double x)
{
double z;
int sign = (int)0x80000000;
@@ -448,4 +441,3 @@ B. sqrt(x) by Reciproot Iteration
(4) Special cases (see (4) of Section A).
*/
+1 -6
View File
@@ -43,12 +43,7 @@
#include "fdlibm.h"
#ifdef __STDC__
double tan(double x)
#else
double tan(x)
double x;
#endif
double tan(double x)
{
double y[2],z=0.0;
int n, ix;
-82
View File
@@ -1,82 +0,0 @@
/* @(#)s_tanh.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/* Tanh(x)
* Return the Hyperbolic Tangent of x
*
* Method :
* x -x
* e - e
* 0. tanh(x) is defined to be -----------
* x -x
* e + e
* 1. reduce x to non-negative by tanh(-x) = -tanh(x).
* 2. 0 <= x <= 2**-55 : tanh(x) := x*(one+x)
* -t
* 2**-55 < x <= 1 : tanh(x) := -----; t = expm1(-2x)
* t + 2
* 2
* 1 <= x <= 22.0 : tanh(x) := 1- ----- ; t=expm1(2x)
* t + 2
* 22.0 < x <= INF : tanh(x) := 1.
*
* Special cases:
* tanh(NaN) is NaN;
* only tanh(0)=0 is exact for finite argument.
*/
#include "fdlibm.h"
#ifdef __STDC__
static const double one=1.0, two=2.0, tiny = 1.0e-300;
#else
static double one=1.0, two=2.0, tiny = 1.0e-300;
#endif
#ifdef __STDC__
double tanh(double x)
#else
double tanh(x)
double x;
#endif
{
double t,z;
int jx,ix;
/* High word of |x|. */
jx = __HI(x);
ix = jx&0x7fffffff;
/* x is INF or NaN */
if(ix>=0x7ff00000) {
if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
else return one/x-one; /* tanh(NaN) = NaN */
}
/* |x| < 22 */
if (ix < 0x40360000) { /* |x|<22 */
if (ix<0x3c800000) /* |x|<2**-55 */
return x*(one+x); /* tanh(small) = small */
if (ix>=0x3ff00000) { /* |x|>=1 */
t = expm1(two*fabs(x));
z = one - two/(t+two);
} else {
t = expm1(-two*fabs(x));
z= -t/(t+two);
}
/* |x| > 22, return +-1 */
} else {
z = one - tiny; /* raised inexact flag */
}
return (jx>=0)? z: -z;
}
-39
View File
@@ -1,39 +0,0 @@
/* @(#)w_acos.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* wrap_acos(x)
*/
#include "fdlibm.h"
#ifdef __STDC__
double acos(double x) /* wrapper acos */
#else
double acos(x) /* wrapper acos */
double x;
#endif
{
#ifdef _IEEE_LIBM
return __ieee754_acos(x);
#else
double z;
z = __ieee754_acos(x);
if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
if(fabs(x)>1.0) {
return __kernel_standard(x,x,1); /* acos(|x|>1) */
} else
return z;
#endif
}
-41
View File
@@ -1,41 +0,0 @@
/* @(#)w_asin.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*
*/
/*
* wrapper asin(x)
*/
#include "fdlibm.h"
#ifdef __STDC__
double asin(double x) /* wrapper asin */
#else
double asin(x) /* wrapper asin */
double x;
#endif
{
#ifdef _IEEE_LIBM
return __ieee754_asin(x);
#else
double z;
z = __ieee754_asin(x);
if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
if(fabs(x)>1.0) {
return __kernel_standard(x,x,2); /* asin(|x|>1) */
} else
return z;
#endif
}
-40
View File
@@ -1,40 +0,0 @@
/* @(#)w_atan2.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*
*/
/*
* wrapper atan2(y,x)
*/
#include "fdlibm.h"
#ifdef __STDC__
double atan2(double y, double x) /* wrapper atan2 */
#else
double atan2(y,x) /* wrapper atan2 */
double y,x;
#endif
{
#ifdef _IEEE_LIBM
return __ieee754_atan2(y,x);
#else
double z;
z = __ieee754_atan2(y,x);
if(_LIB_VERSION == _IEEE_||isnan(x)||isnan(y)) return z;
if(x==0.0&&y==0.0) {
return __kernel_standard(y,x,3); /* atan2(+-0,+-0) */
} else
return z;
#endif
}
-48
View File
@@ -1,48 +0,0 @@
/* @(#)w_exp.c 1.4 04/04/22 */
/*
* ====================================================
* Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
*
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* wrapper exp(x)
*/
#include "fdlibm.h"
#ifdef __STDC__
static const double
#else
static double
#endif
o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
u_threshold= -7.45133219101941108420e+02; /* 0xc0874910, 0xD52D3051 */
#ifdef __STDC__
double exp(double x) /* wrapper exp */
#else
double exp(x) /* wrapper exp */
double x;
#endif
{
#ifdef _IEEE_LIBM
return __ieee754_exp(x);
#else
double z;
z = __ieee754_exp(x);
if(_LIB_VERSION == _IEEE_) return z;
if(finite(x)) {
if(x>o_threshold)
return __kernel_standard(x,x,6); /* exp overflow */
else if(x<u_threshold)
return __kernel_standard(x,x,7); /* exp underflow */
}
return z;
#endif
}
-39
View File
@@ -1,39 +0,0 @@
/* @(#)w_fmod.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* wrapper fmod(x,y)
*/
#include "fdlibm.h"
#ifdef __STDC__
double fmod(double x, double y) /* wrapper fmod */
#else
double fmod(x,y) /* wrapper fmod */
double x,y;
#endif
{
#ifdef _IEEE_LIBM
return __ieee754_fmod(x,y);
#else
double z;
z = __ieee754_fmod(x,y);
if(_LIB_VERSION == _IEEE_ ||isnan(y)||isnan(x)) return z;
if(y==0.0) {
return __kernel_standard(x,y,27); /* fmod(x,0) */
} else
return z;
#endif
}
-39
View File
@@ -1,39 +0,0 @@
/* @(#)w_log.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* wrapper log(x)
*/
#include "fdlibm.h"
#ifdef __STDC__
double log(double x) /* wrapper log */
#else
double log(x) /* wrapper log */
double x;
#endif
{
#ifdef _IEEE_LIBM
return __ieee754_log(x);
#else
double z;
z = __ieee754_log(x);
if(_LIB_VERSION == _IEEE_ || isnan(x) || x > 0.0) return z;
if(x==0.0)
return __kernel_standard(x,x,16); /* log(0) */
else
return __kernel_standard(x,x,17); /* log(x<0) */
#endif
}
-59
View File
@@ -1,59 +0,0 @@
/* @(#)w_pow.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* wrapper pow(x,y) return x**y
*/
#include "fdlibm.h"
#ifdef __STDC__
double pow(double x, double y) /* wrapper pow */
#else
double pow(x,y) /* wrapper pow */
double x,y;
#endif
{
#ifdef _IEEE_LIBM
return __ieee754_pow(x,y);
#else
double z;
z=__ieee754_pow(x,y);
if(_LIB_VERSION == _IEEE_|| isnan(y)) return z;
if(isnan(x)) {
if(y==0.0)
return __kernel_standard(x,y,42); /* pow(NaN,0.0) */
else
return z;
}
if(x==0.0){
if(y==0.0)
return __kernel_standard(x,y,20); /* pow(0.0,0.0) */
if(finite(y)&&y<0.0)
return __kernel_standard(x,y,23); /* pow(0.0,negative) */
return z;
}
if(!finite(z)) {
if(finite(x)&&finite(y)) {
if(isnan(z))
return __kernel_standard(x,y,24); /* pow neg**non-int */
else
return __kernel_standard(x,y,21); /* pow overflow */
}
}
if(z==0.0&&finite(x)&&finite(y))
return __kernel_standard(x,y,22); /* pow underflow */
return z;
#endif
}
-38
View File
@@ -1,38 +0,0 @@
/* @(#)w_sqrt.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* wrapper sqrt(x)
*/
#include "fdlibm.h"
#ifdef __STDC__
double sqrt(double x) /* wrapper sqrt */
#else
double sqrt(x) /* wrapper sqrt */
double x;
#endif
{
#ifdef _IEEE_LIBM
return __ieee754_sqrt(x);
#else
double z;
z = __ieee754_sqrt(x);
if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
if(x<0.0) {
return __kernel_standard(x,x,26); /* sqrt(negative) */
} else
return z;
#endif
}