/*
|
/*
|
FUNCTION
|
FUNCTION
|
<<strtod>>, <<strtof>>---string to double or float
|
<<strtod>>, <<strtof>>---string to double or float
|
|
|
INDEX
|
INDEX
|
strtod
|
strtod
|
INDEX
|
INDEX
|
_strtod_r
|
_strtod_r
|
INDEX
|
INDEX
|
strtof
|
strtof
|
|
|
ANSI_SYNOPSIS
|
ANSI_SYNOPSIS
|
#include <stdlib.h>
|
#include <stdlib.h>
|
double strtod(const char *<[str]>, char **<[tail]>);
|
double strtod(const char *<[str]>, char **<[tail]>);
|
float strtof(const char *<[str]>, char **<[tail]>);
|
float strtof(const char *<[str]>, char **<[tail]>);
|
|
|
double _strtod_r(void *<[reent]>,
|
double _strtod_r(void *<[reent]>,
|
const char *<[str]>, char **<[tail]>);
|
const char *<[str]>, char **<[tail]>);
|
|
|
TRAD_SYNOPSIS
|
TRAD_SYNOPSIS
|
#include <stdlib.h>
|
#include <stdlib.h>
|
double strtod(<[str]>,<[tail]>)
|
double strtod(<[str]>,<[tail]>)
|
char *<[str]>;
|
char *<[str]>;
|
char **<[tail]>;
|
char **<[tail]>;
|
|
|
float strtof(<[str]>,<[tail]>)
|
float strtof(<[str]>,<[tail]>)
|
char *<[str]>;
|
char *<[str]>;
|
char **<[tail]>;
|
char **<[tail]>;
|
|
|
double _strtod_r(<[reent]>,<[str]>,<[tail]>)
|
double _strtod_r(<[reent]>,<[str]>,<[tail]>)
|
char *<[reent]>;
|
char *<[reent]>;
|
char *<[str]>;
|
char *<[str]>;
|
char **<[tail]>;
|
char **<[tail]>;
|
|
|
DESCRIPTION
|
DESCRIPTION
|
The function <<strtod>> parses the character string <[str]>,
|
The function <<strtod>> parses the character string <[str]>,
|
producing a substring which can be converted to a double
|
producing a substring which can be converted to a double
|
value. The substring converted is the longest initial
|
value. The substring converted is the longest initial
|
subsequence of <[str]>, beginning with the first
|
subsequence of <[str]>, beginning with the first
|
non-whitespace character, that has one of these formats:
|
non-whitespace character, that has one of these formats:
|
.[+|-]<[digits]>[.[<[digits]>]][(e|E)[+|-]<[digits]>]
|
.[+|-]<[digits]>[.[<[digits]>]][(e|E)[+|-]<[digits]>]
|
.[+|-].<[digits]>[(e|E)[+|-]<[digits]>]
|
.[+|-].<[digits]>[(e|E)[+|-]<[digits]>]
|
.[+|-](i|I)(n|N)(f|F)[(i|I)(n|N)(i|I)(t|T)(y|Y)]
|
.[+|-](i|I)(n|N)(f|F)[(i|I)(n|N)(i|I)(t|T)(y|Y)]
|
.[+|-](n|N)(a|A)(n|N)[<(>[<[hexdigits]>]<)>]
|
.[+|-](n|N)(a|A)(n|N)[<(>[<[hexdigits]>]<)>]
|
.[+|-]0(x|X)<[hexdigits]>[.[<[hexdigits]>]][(p|P)[+|-]<[digits]>]
|
.[+|-]0(x|X)<[hexdigits]>[.[<[hexdigits]>]][(p|P)[+|-]<[digits]>]
|
.[+|-]0(x|X).<[hexdigits]>[(p|P)[+|-]<[digits]>]
|
.[+|-]0(x|X).<[hexdigits]>[(p|P)[+|-]<[digits]>]
|
The substring contains no characters if <[str]> is empty, consists
|
The substring contains no characters if <[str]> is empty, consists
|
entirely of whitespace, or if the first non-whitespace
|
entirely of whitespace, or if the first non-whitespace
|
character is something other than <<+>>, <<->>, <<.>>, or a
|
character is something other than <<+>>, <<->>, <<.>>, or a
|
digit, and cannot be parsed as infinity or NaN. If the platform
|
digit, and cannot be parsed as infinity or NaN. If the platform
|
does not support NaN, then NaN is treated as an empty substring.
|
does not support NaN, then NaN is treated as an empty substring.
|
If the substring is empty, no conversion is done, and
|
If the substring is empty, no conversion is done, and
|
the value of <[str]> is stored in <<*<[tail]>>>. Otherwise,
|
the value of <[str]> is stored in <<*<[tail]>>>. Otherwise,
|
the substring is converted, and a pointer to the final string
|
the substring is converted, and a pointer to the final string
|
(which will contain at least the terminating null character of
|
(which will contain at least the terminating null character of
|
<[str]>) is stored in <<*<[tail]>>>. If you want no
|
<[str]>) is stored in <<*<[tail]>>>. If you want no
|
assignment to <<*<[tail]>>>, pass a null pointer as <[tail]>.
|
assignment to <<*<[tail]>>>, pass a null pointer as <[tail]>.
|
<<strtof>> is identical to <<strtod>> except for its return type.
|
<<strtof>> is identical to <<strtod>> except for its return type.
|
|
|
This implementation returns the nearest machine number to the
|
This implementation returns the nearest machine number to the
|
input decimal string. Ties are broken by using the IEEE
|
input decimal string. Ties are broken by using the IEEE
|
round-even rule. However, <<strtof>> is currently subject to
|
round-even rule. However, <<strtof>> is currently subject to
|
double rounding errors.
|
double rounding errors.
|
|
|
The alternate function <<_strtod_r>> is a reentrant version.
|
The alternate function <<_strtod_r>> is a reentrant version.
|
The extra argument <[reent]> is a pointer to a reentrancy structure.
|
The extra argument <[reent]> is a pointer to a reentrancy structure.
|
|
|
RETURNS
|
RETURNS
|
<<strtod>> returns the converted substring value, if any. If
|
<<strtod>> returns the converted substring value, if any. If
|
no conversion could be performed, 0 is returned. If the
|
no conversion could be performed, 0 is returned. If the
|
correct value is out of the range of representable values,
|
correct value is out of the range of representable values,
|
plus or minus <<HUGE_VAL>> is returned, and <<ERANGE>> is
|
plus or minus <<HUGE_VAL>> is returned, and <<ERANGE>> is
|
stored in errno. If the correct value would cause underflow, 0
|
stored in errno. If the correct value would cause underflow, 0
|
is returned and <<ERANGE>> is stored in errno.
|
is returned and <<ERANGE>> is stored in errno.
|
|
|
Supporting OS subroutines required: <<close>>, <<fstat>>, <<isatty>>,
|
Supporting OS subroutines required: <<close>>, <<fstat>>, <<isatty>>,
|
<<lseek>>, <<read>>, <<sbrk>>, <<write>>.
|
<<lseek>>, <<read>>, <<sbrk>>, <<write>>.
|
*/
|
*/
|
|
|
/****************************************************************
|
/****************************************************************
|
|
|
The author of this software is David M. Gay.
|
The author of this software is David M. Gay.
|
|
|
Copyright (C) 1998-2001 by Lucent Technologies
|
Copyright (C) 1998-2001 by Lucent Technologies
|
All Rights Reserved
|
All Rights Reserved
|
|
|
Permission to use, copy, modify, and distribute this software and
|
Permission to use, copy, modify, and distribute this software and
|
its documentation for any purpose and without fee is hereby
|
its documentation for any purpose and without fee is hereby
|
granted, provided that the above copyright notice appear in all
|
granted, provided that the above copyright notice appear in all
|
copies and that both that the copyright notice and this
|
copies and that both that the copyright notice and this
|
permission notice and warranty disclaimer appear in supporting
|
permission notice and warranty disclaimer appear in supporting
|
documentation, and that the name of Lucent or any of its entities
|
documentation, and that the name of Lucent or any of its entities
|
not be used in advertising or publicity pertaining to
|
not be used in advertising or publicity pertaining to
|
distribution of the software without specific, written prior
|
distribution of the software without specific, written prior
|
permission.
|
permission.
|
|
|
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
|
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
|
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
|
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
|
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
|
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
|
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
|
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
|
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
|
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
|
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
|
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
|
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
|
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
|
THIS SOFTWARE.
|
THIS SOFTWARE.
|
|
|
****************************************************************/
|
****************************************************************/
|
|
|
/* Please send bug reports to David M. Gay (dmg at acm dot org,
|
/* Please send bug reports to David M. Gay (dmg at acm dot org,
|
* with " at " changed at "@" and " dot " changed to "."). */
|
* with " at " changed at "@" and " dot " changed to "."). */
|
|
|
/* Original file gdtoa-strtod.c Modified 06-21-2006 by Jeff Johnston to work within newlib. */
|
/* Original file gdtoa-strtod.c Modified 06-21-2006 by Jeff Johnston to work within newlib. */
|
|
|
#include <_ansi.h>
|
#include <_ansi.h>
|
#include <errno.h>
|
#include <errno.h>
|
#include <stdlib.h>
|
#include <stdlib.h>
|
#include <string.h>
|
#include <string.h>
|
#include "mprec.h"
|
#include "mprec.h"
|
#include "gdtoa.h"
|
#include "gdtoa.h"
|
#include "gd_qnan.h"
|
#include "gd_qnan.h"
|
|
|
/* #ifndef NO_FENV_H */
|
/* #ifndef NO_FENV_H */
|
/* #include <fenv.h> */
|
/* #include <fenv.h> */
|
/* #endif */
|
/* #endif */
|
|
|
#include "locale.h"
|
#include "locale.h"
|
|
|
#ifdef IEEE_Arith
|
#ifdef IEEE_Arith
|
#ifndef NO_IEEE_Scale
|
#ifndef NO_IEEE_Scale
|
#define Avoid_Underflow
|
#define Avoid_Underflow
|
#undef tinytens
|
#undef tinytens
|
/* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */
|
/* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */
|
/* flag unnecessarily. It leads to a song and dance at the end of strtod. */
|
/* flag unnecessarily. It leads to a song and dance at the end of strtod. */
|
static _CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
|
static _CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
|
9007199254740992.e-256
|
9007199254740992.e-256
|
};
|
};
|
#endif
|
#endif
|
#endif
|
#endif
|
|
|
#ifdef Honor_FLT_ROUNDS
|
#ifdef Honor_FLT_ROUNDS
|
#define Rounding rounding
|
#define Rounding rounding
|
#undef Check_FLT_ROUNDS
|
#undef Check_FLT_ROUNDS
|
#define Check_FLT_ROUNDS
|
#define Check_FLT_ROUNDS
|
#else
|
#else
|
#define Rounding Flt_Rounds
|
#define Rounding Flt_Rounds
|
#endif
|
#endif
|
|
|
#ifndef NO_HEX_FP
|
#ifndef NO_HEX_FP
|
|
|
static void
|
static void
|
_DEFUN (ULtod, (L, bits, exp, k),
|
_DEFUN (ULtod, (L, bits, exp, k),
|
__ULong *L _AND
|
__ULong *L _AND
|
__ULong *bits _AND
|
__ULong *bits _AND
|
Long exp _AND
|
Long exp _AND
|
int k)
|
int k)
|
{
|
{
|
switch(k & STRTOG_Retmask) {
|
switch(k & STRTOG_Retmask) {
|
case STRTOG_NoNumber:
|
case STRTOG_NoNumber:
|
case STRTOG_Zero:
|
case STRTOG_Zero:
|
L[0] = L[1] = 0;
|
L[0] = L[1] = 0;
|
break;
|
break;
|
|
|
case STRTOG_Denormal:
|
case STRTOG_Denormal:
|
L[_1] = bits[0];
|
L[_1] = bits[0];
|
L[_0] = bits[1];
|
L[_0] = bits[1];
|
break;
|
break;
|
|
|
case STRTOG_Normal:
|
case STRTOG_Normal:
|
case STRTOG_NaNbits:
|
case STRTOG_NaNbits:
|
L[_1] = bits[0];
|
L[_1] = bits[0];
|
L[_0] = (bits[1] & ~0x100000) | ((exp + 0x3ff + 52) << 20);
|
L[_0] = (bits[1] & ~0x100000) | ((exp + 0x3ff + 52) << 20);
|
break;
|
break;
|
|
|
case STRTOG_Infinite:
|
case STRTOG_Infinite:
|
L[_0] = 0x7ff00000;
|
L[_0] = 0x7ff00000;
|
L[_1] = 0;
|
L[_1] = 0;
|
break;
|
break;
|
|
|
case STRTOG_NaN:
|
case STRTOG_NaN:
|
L[_0] = 0x7fffffff;
|
L[_0] = 0x7fffffff;
|
L[_1] = (__ULong)-1;
|
L[_1] = (__ULong)-1;
|
}
|
}
|
if (k & STRTOG_Neg)
|
if (k & STRTOG_Neg)
|
L[_0] |= 0x80000000L;
|
L[_0] |= 0x80000000L;
|
}
|
}
|
#endif /* !NO_HEX_FP */
|
#endif /* !NO_HEX_FP */
|
|
|
#ifdef INFNAN_CHECK
|
#ifdef INFNAN_CHECK
|
static int
|
static int
|
_DEFUN (match, (sp, t),
|
_DEFUN (match, (sp, t),
|
_CONST char **sp _AND
|
_CONST char **sp _AND
|
char *t)
|
char *t)
|
{
|
{
|
int c, d;
|
int c, d;
|
_CONST char *s = *sp;
|
_CONST char *s = *sp;
|
|
|
while( (d = *t++) !=0) {
|
while( (d = *t++) !=0) {
|
if ((c = *++s) >= 'A' && c <= 'Z')
|
if ((c = *++s) >= 'A' && c <= 'Z')
|
c += 'a' - 'A';
|
c += 'a' - 'A';
|
if (c != d)
|
if (c != d)
|
return 0;
|
return 0;
|
}
|
}
|
*sp = s + 1;
|
*sp = s + 1;
|
return 1;
|
return 1;
|
}
|
}
|
#endif /* INFNAN_CHECK */
|
#endif /* INFNAN_CHECK */
|
|
|
|
|
double
|
double
|
_DEFUN (_strtod_r, (ptr, s00, se),
|
_DEFUN (_strtod_r, (ptr, s00, se),
|
struct _reent *ptr _AND
|
struct _reent *ptr _AND
|
_CONST char *s00 _AND
|
_CONST char *s00 _AND
|
char **se)
|
char **se)
|
{
|
{
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
int scale;
|
int scale;
|
#endif
|
#endif
|
int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, decpt, dsign,
|
int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, decpt, dsign,
|
e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
|
e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
|
_CONST char *s, *s0, *s1;
|
_CONST char *s, *s0, *s1;
|
double aadj, adj;
|
double aadj, adj;
|
U aadj1, rv, rv0;
|
U aadj1, rv, rv0;
|
Long L;
|
Long L;
|
__ULong y, z;
|
__ULong y, z;
|
_Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
|
_Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
|
#ifdef SET_INEXACT
|
#ifdef SET_INEXACT
|
int inexact, oldinexact;
|
int inexact, oldinexact;
|
#endif
|
#endif
|
#ifdef Honor_FLT_ROUNDS
|
#ifdef Honor_FLT_ROUNDS
|
int rounding;
|
int rounding;
|
#endif
|
#endif
|
|
|
delta = bs = bd = NULL;
|
delta = bs = bd = NULL;
|
sign = nz0 = nz = decpt = 0;
|
sign = nz0 = nz = decpt = 0;
|
dval(rv) = 0.;
|
dval(rv) = 0.;
|
for(s = s00;;s++) switch(*s) {
|
for(s = s00;;s++) switch(*s) {
|
case '-':
|
case '-':
|
sign = 1;
|
sign = 1;
|
/* no break */
|
/* no break */
|
case '+':
|
case '+':
|
if (*++s)
|
if (*++s)
|
goto break2;
|
goto break2;
|
/* no break */
|
/* no break */
|
case 0:
|
case 0:
|
goto ret0;
|
goto ret0;
|
case '\t':
|
case '\t':
|
case '\n':
|
case '\n':
|
case '\v':
|
case '\v':
|
case '\f':
|
case '\f':
|
case '\r':
|
case '\r':
|
case ' ':
|
case ' ':
|
continue;
|
continue;
|
default:
|
default:
|
goto break2;
|
goto break2;
|
}
|
}
|
break2:
|
break2:
|
if (*s == '0') {
|
if (*s == '0') {
|
#ifndef NO_HEX_FP
|
#ifndef NO_HEX_FP
|
{
|
{
|
static FPI fpi = { 53, 1-1023-53+1, 2046-1023-53+1, 1, SI };
|
static FPI fpi = { 53, 1-1023-53+1, 2046-1023-53+1, 1, SI };
|
Long exp;
|
Long exp;
|
__ULong bits[2];
|
__ULong bits[2];
|
switch(s[1]) {
|
switch(s[1]) {
|
case 'x':
|
case 'x':
|
case 'X':
|
case 'X':
|
/* If the number is not hex, then the parse of
|
/* If the number is not hex, then the parse of
|
0 is still valid. */
|
0 is still valid. */
|
s00 = s + 1;
|
s00 = s + 1;
|
{
|
{
|
#if defined(FE_DOWNWARD) && defined(FE_TONEAREST) && defined(FE_TOWARDZERO) && defined(FE_UPWARD)
|
#if defined(FE_DOWNWARD) && defined(FE_TONEAREST) && defined(FE_TOWARDZERO) && defined(FE_UPWARD)
|
FPI fpi1 = fpi;
|
FPI fpi1 = fpi;
|
switch(fegetround()) {
|
switch(fegetround()) {
|
case FE_TOWARDZERO: fpi1.rounding = 0; break;
|
case FE_TOWARDZERO: fpi1.rounding = 0; break;
|
case FE_UPWARD: fpi1.rounding = 2; break;
|
case FE_UPWARD: fpi1.rounding = 2; break;
|
case FE_DOWNWARD: fpi1.rounding = 3;
|
case FE_DOWNWARD: fpi1.rounding = 3;
|
}
|
}
|
#else
|
#else
|
#define fpi1 fpi
|
#define fpi1 fpi
|
#endif
|
#endif
|
switch((i = gethex(ptr, &s, &fpi1, &exp, &bb, sign)) & STRTOG_Retmask) {
|
switch((i = gethex(ptr, &s, &fpi1, &exp, &bb, sign)) & STRTOG_Retmask) {
|
case STRTOG_NoNumber:
|
case STRTOG_NoNumber:
|
s = s00;
|
s = s00;
|
case STRTOG_Zero:
|
case STRTOG_Zero:
|
break;
|
break;
|
default:
|
default:
|
if (bb) {
|
if (bb) {
|
copybits(bits, fpi.nbits, bb);
|
copybits(bits, fpi.nbits, bb);
|
Bfree(ptr,bb);
|
Bfree(ptr,bb);
|
}
|
}
|
ULtod(rv.i, bits, exp, i);
|
ULtod(rv.i, bits, exp, i);
|
}}
|
}}
|
goto ret;
|
goto ret;
|
}
|
}
|
}
|
}
|
#endif
|
#endif
|
nz0 = 1;
|
nz0 = 1;
|
while(*++s == '0') ;
|
while(*++s == '0') ;
|
if (!*s)
|
if (!*s)
|
goto ret;
|
goto ret;
|
}
|
}
|
s0 = s;
|
s0 = s;
|
y = z = 0;
|
y = z = 0;
|
for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
|
for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
|
if (nd < 9)
|
if (nd < 9)
|
y = 10*y + c - '0';
|
y = 10*y + c - '0';
|
else if (nd < 16)
|
else if (nd < 16)
|
z = 10*z + c - '0';
|
z = 10*z + c - '0';
|
nd0 = nd;
|
nd0 = nd;
|
if (strncmp (s, _localeconv_r (ptr)->decimal_point,
|
if (strncmp (s, _localeconv_r (ptr)->decimal_point,
|
strlen (_localeconv_r (ptr)->decimal_point)) == 0)
|
strlen (_localeconv_r (ptr)->decimal_point)) == 0)
|
{
|
{
|
decpt = 1;
|
decpt = 1;
|
c = *(s += strlen (_localeconv_r (ptr)->decimal_point));
|
c = *(s += strlen (_localeconv_r (ptr)->decimal_point));
|
if (!nd) {
|
if (!nd) {
|
for(; c == '0'; c = *++s)
|
for(; c == '0'; c = *++s)
|
nz++;
|
nz++;
|
if (c > '0' && c <= '9') {
|
if (c > '0' && c <= '9') {
|
s0 = s;
|
s0 = s;
|
nf += nz;
|
nf += nz;
|
nz = 0;
|
nz = 0;
|
goto have_dig;
|
goto have_dig;
|
}
|
}
|
goto dig_done;
|
goto dig_done;
|
}
|
}
|
for(; c >= '0' && c <= '9'; c = *++s) {
|
for(; c >= '0' && c <= '9'; c = *++s) {
|
have_dig:
|
have_dig:
|
nz++;
|
nz++;
|
if (c -= '0') {
|
if (c -= '0') {
|
nf += nz;
|
nf += nz;
|
for(i = 1; i < nz; i++)
|
for(i = 1; i < nz; i++)
|
if (nd++ < 9)
|
if (nd++ < 9)
|
y *= 10;
|
y *= 10;
|
else if (nd <= DBL_DIG + 1)
|
else if (nd <= DBL_DIG + 1)
|
z *= 10;
|
z *= 10;
|
if (nd++ < 9)
|
if (nd++ < 9)
|
y = 10*y + c;
|
y = 10*y + c;
|
else if (nd <= DBL_DIG + 1)
|
else if (nd <= DBL_DIG + 1)
|
z = 10*z + c;
|
z = 10*z + c;
|
nz = 0;
|
nz = 0;
|
}
|
}
|
}
|
}
|
}
|
}
|
dig_done:
|
dig_done:
|
e = 0;
|
e = 0;
|
if (c == 'e' || c == 'E') {
|
if (c == 'e' || c == 'E') {
|
if (!nd && !nz && !nz0) {
|
if (!nd && !nz && !nz0) {
|
goto ret0;
|
goto ret0;
|
}
|
}
|
s00 = s;
|
s00 = s;
|
esign = 0;
|
esign = 0;
|
switch(c = *++s) {
|
switch(c = *++s) {
|
case '-':
|
case '-':
|
esign = 1;
|
esign = 1;
|
case '+':
|
case '+':
|
c = *++s;
|
c = *++s;
|
}
|
}
|
if (c >= '0' && c <= '9') {
|
if (c >= '0' && c <= '9') {
|
while(c == '0')
|
while(c == '0')
|
c = *++s;
|
c = *++s;
|
if (c > '0' && c <= '9') {
|
if (c > '0' && c <= '9') {
|
L = c - '0';
|
L = c - '0';
|
s1 = s;
|
s1 = s;
|
while((c = *++s) >= '0' && c <= '9')
|
while((c = *++s) >= '0' && c <= '9')
|
L = 10*L + c - '0';
|
L = 10*L + c - '0';
|
if (s - s1 > 8 || L > 19999)
|
if (s - s1 > 8 || L > 19999)
|
/* Avoid confusion from exponents
|
/* Avoid confusion from exponents
|
* so large that e might overflow.
|
* so large that e might overflow.
|
*/
|
*/
|
e = 19999; /* safe for 16 bit ints */
|
e = 19999; /* safe for 16 bit ints */
|
else
|
else
|
e = (int)L;
|
e = (int)L;
|
if (esign)
|
if (esign)
|
e = -e;
|
e = -e;
|
}
|
}
|
else
|
else
|
e = 0;
|
e = 0;
|
}
|
}
|
else
|
else
|
s = s00;
|
s = s00;
|
}
|
}
|
if (!nd) {
|
if (!nd) {
|
if (!nz && !nz0) {
|
if (!nz && !nz0) {
|
#ifdef INFNAN_CHECK
|
#ifdef INFNAN_CHECK
|
/* Check for Nan and Infinity */
|
/* Check for Nan and Infinity */
|
__ULong bits[2];
|
__ULong bits[2];
|
static FPI fpinan = /* only 52 explicit bits */
|
static FPI fpinan = /* only 52 explicit bits */
|
{ 52, 1-1023-53+1, 2046-1023-53+1, 1, SI };
|
{ 52, 1-1023-53+1, 2046-1023-53+1, 1, SI };
|
if (!decpt)
|
if (!decpt)
|
switch(c) {
|
switch(c) {
|
case 'i':
|
case 'i':
|
case 'I':
|
case 'I':
|
if (match(&s,"nf")) {
|
if (match(&s,"nf")) {
|
--s;
|
--s;
|
if (!match(&s,"inity"))
|
if (!match(&s,"inity"))
|
++s;
|
++s;
|
dword0(rv) = 0x7ff00000;
|
dword0(rv) = 0x7ff00000;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = 0;
|
dword1(rv) = 0;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
goto ret;
|
goto ret;
|
}
|
}
|
break;
|
break;
|
case 'n':
|
case 'n':
|
case 'N':
|
case 'N':
|
if (match(&s, "an")) {
|
if (match(&s, "an")) {
|
#ifndef No_Hex_NaN
|
#ifndef No_Hex_NaN
|
if (*s == '(' /*)*/
|
if (*s == '(' /*)*/
|
&& hexnan(&s, &fpinan, bits)
|
&& hexnan(&s, &fpinan, bits)
|
== STRTOG_NaNbits) {
|
== STRTOG_NaNbits) {
|
dword0(rv) = 0x7ff00000 | bits[1];
|
dword0(rv) = 0x7ff00000 | bits[1];
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = bits[0];
|
dword1(rv) = bits[0];
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
}
|
}
|
else {
|
else {
|
#endif
|
#endif
|
dword0(rv) = NAN_WORD0;
|
dword0(rv) = NAN_WORD0;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = NAN_WORD1;
|
dword1(rv) = NAN_WORD1;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#ifndef No_Hex_NaN
|
#ifndef No_Hex_NaN
|
}
|
}
|
#endif
|
#endif
|
goto ret;
|
goto ret;
|
}
|
}
|
}
|
}
|
#endif /* INFNAN_CHECK */
|
#endif /* INFNAN_CHECK */
|
ret0:
|
ret0:
|
s = s00;
|
s = s00;
|
sign = 0;
|
sign = 0;
|
}
|
}
|
goto ret;
|
goto ret;
|
}
|
}
|
e1 = e -= nf;
|
e1 = e -= nf;
|
|
|
/* Now we have nd0 digits, starting at s0, followed by a
|
/* Now we have nd0 digits, starting at s0, followed by a
|
* decimal point, followed by nd-nd0 digits. The number we're
|
* decimal point, followed by nd-nd0 digits. The number we're
|
* after is the integer represented by those digits times
|
* after is the integer represented by those digits times
|
* 10**e */
|
* 10**e */
|
|
|
if (!nd0)
|
if (!nd0)
|
nd0 = nd;
|
nd0 = nd;
|
k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
|
k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
|
dval(rv) = y;
|
dval(rv) = y;
|
if (k > 9) {
|
if (k > 9) {
|
#ifdef SET_INEXACT
|
#ifdef SET_INEXACT
|
if (k > DBL_DIG)
|
if (k > DBL_DIG)
|
oldinexact = get_inexact();
|
oldinexact = get_inexact();
|
#endif
|
#endif
|
dval(rv) = tens[k - 9] * dval(rv) + z;
|
dval(rv) = tens[k - 9] * dval(rv) + z;
|
}
|
}
|
bd0 = 0;
|
bd0 = 0;
|
if (nd <= DBL_DIG
|
if (nd <= DBL_DIG
|
#ifndef RND_PRODQUOT
|
#ifndef RND_PRODQUOT
|
#ifndef Honor_FLT_ROUNDS
|
#ifndef Honor_FLT_ROUNDS
|
&& Flt_Rounds == 1
|
&& Flt_Rounds == 1
|
#endif
|
#endif
|
#endif
|
#endif
|
) {
|
) {
|
if (!e)
|
if (!e)
|
goto ret;
|
goto ret;
|
if (e > 0) {
|
if (e > 0) {
|
if (e <= Ten_pmax) {
|
if (e <= Ten_pmax) {
|
#ifdef VAX
|
#ifdef VAX
|
goto vax_ovfl_check;
|
goto vax_ovfl_check;
|
#else
|
#else
|
#ifdef Honor_FLT_ROUNDS
|
#ifdef Honor_FLT_ROUNDS
|
/* round correctly FLT_ROUNDS = 2 or 3 */
|
/* round correctly FLT_ROUNDS = 2 or 3 */
|
if (sign) {
|
if (sign) {
|
dval(rv) = -dval(rv);
|
dval(rv) = -dval(rv);
|
sign = 0;
|
sign = 0;
|
}
|
}
|
#endif
|
#endif
|
/* rv = */ rounded_product(dval(rv), tens[e]);
|
/* rv = */ rounded_product(dval(rv), tens[e]);
|
goto ret;
|
goto ret;
|
#endif
|
#endif
|
}
|
}
|
i = DBL_DIG - nd;
|
i = DBL_DIG - nd;
|
if (e <= Ten_pmax + i) {
|
if (e <= Ten_pmax + i) {
|
/* A fancier test would sometimes let us do
|
/* A fancier test would sometimes let us do
|
* this for larger i values.
|
* this for larger i values.
|
*/
|
*/
|
#ifdef Honor_FLT_ROUNDS
|
#ifdef Honor_FLT_ROUNDS
|
/* round correctly FLT_ROUNDS = 2 or 3 */
|
/* round correctly FLT_ROUNDS = 2 or 3 */
|
if (sign) {
|
if (sign) {
|
dval(rv) = -dval(rv);
|
dval(rv) = -dval(rv);
|
sign = 0;
|
sign = 0;
|
}
|
}
|
#endif
|
#endif
|
e -= i;
|
e -= i;
|
dval(rv) *= tens[i];
|
dval(rv) *= tens[i];
|
#ifdef VAX
|
#ifdef VAX
|
/* VAX exponent range is so narrow we must
|
/* VAX exponent range is so narrow we must
|
* worry about overflow here...
|
* worry about overflow here...
|
*/
|
*/
|
vax_ovfl_check:
|
vax_ovfl_check:
|
dword0(rv) -= P*Exp_msk1;
|
dword0(rv) -= P*Exp_msk1;
|
/* rv = */ rounded_product(dval(rv), tens[e]);
|
/* rv = */ rounded_product(dval(rv), tens[e]);
|
if ((dword0(rv) & Exp_mask)
|
if ((dword0(rv) & Exp_mask)
|
> Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
|
> Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
|
goto ovfl;
|
goto ovfl;
|
dword0(rv) += P*Exp_msk1;
|
dword0(rv) += P*Exp_msk1;
|
#else
|
#else
|
/* rv = */ rounded_product(dval(rv), tens[e]);
|
/* rv = */ rounded_product(dval(rv), tens[e]);
|
#endif
|
#endif
|
goto ret;
|
goto ret;
|
}
|
}
|
}
|
}
|
#ifndef Inaccurate_Divide
|
#ifndef Inaccurate_Divide
|
else if (e >= -Ten_pmax) {
|
else if (e >= -Ten_pmax) {
|
#ifdef Honor_FLT_ROUNDS
|
#ifdef Honor_FLT_ROUNDS
|
/* round correctly FLT_ROUNDS = 2 or 3 */
|
/* round correctly FLT_ROUNDS = 2 or 3 */
|
if (sign) {
|
if (sign) {
|
dval(rv) = -dval(rv);
|
dval(rv) = -dval(rv);
|
sign = 0;
|
sign = 0;
|
}
|
}
|
#endif
|
#endif
|
/* rv = */ rounded_quotient(dval(rv), tens[-e]);
|
/* rv = */ rounded_quotient(dval(rv), tens[-e]);
|
goto ret;
|
goto ret;
|
}
|
}
|
#endif
|
#endif
|
}
|
}
|
e1 += nd - k;
|
e1 += nd - k;
|
|
|
#ifdef IEEE_Arith
|
#ifdef IEEE_Arith
|
#ifdef SET_INEXACT
|
#ifdef SET_INEXACT
|
inexact = 1;
|
inexact = 1;
|
if (k <= DBL_DIG)
|
if (k <= DBL_DIG)
|
oldinexact = get_inexact();
|
oldinexact = get_inexact();
|
#endif
|
#endif
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
scale = 0;
|
scale = 0;
|
#endif
|
#endif
|
#ifdef Honor_FLT_ROUNDS
|
#ifdef Honor_FLT_ROUNDS
|
if ((rounding = Flt_Rounds) >= 2) {
|
if ((rounding = Flt_Rounds) >= 2) {
|
if (sign)
|
if (sign)
|
rounding = rounding == 2 ? 0 : 2;
|
rounding = rounding == 2 ? 0 : 2;
|
else
|
else
|
if (rounding != 2)
|
if (rounding != 2)
|
rounding = 0;
|
rounding = 0;
|
}
|
}
|
#endif
|
#endif
|
#endif /*IEEE_Arith*/
|
#endif /*IEEE_Arith*/
|
|
|
/* Get starting approximation = rv * 10**e1 */
|
/* Get starting approximation = rv * 10**e1 */
|
|
|
if (e1 > 0) {
|
if (e1 > 0) {
|
if ( (i = e1 & 15) !=0)
|
if ( (i = e1 & 15) !=0)
|
dval(rv) *= tens[i];
|
dval(rv) *= tens[i];
|
if (e1 &= ~15) {
|
if (e1 &= ~15) {
|
if (e1 > DBL_MAX_10_EXP) {
|
if (e1 > DBL_MAX_10_EXP) {
|
ovfl:
|
ovfl:
|
#ifndef NO_ERRNO
|
#ifndef NO_ERRNO
|
ptr->_errno = ERANGE;
|
ptr->_errno = ERANGE;
|
#endif
|
#endif
|
/* Can't trust HUGE_VAL */
|
/* Can't trust HUGE_VAL */
|
#ifdef IEEE_Arith
|
#ifdef IEEE_Arith
|
#ifdef Honor_FLT_ROUNDS
|
#ifdef Honor_FLT_ROUNDS
|
switch(rounding) {
|
switch(rounding) {
|
case 0: /* toward 0 */
|
case 0: /* toward 0 */
|
case 3: /* toward -infinity */
|
case 3: /* toward -infinity */
|
dword0(rv) = Big0;
|
dword0(rv) = Big0;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = Big1;
|
dword1(rv) = Big1;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
break;
|
break;
|
default:
|
default:
|
dword0(rv) = Exp_mask;
|
dword0(rv) = Exp_mask;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = 0;
|
dword1(rv) = 0;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
}
|
}
|
#else /*Honor_FLT_ROUNDS*/
|
#else /*Honor_FLT_ROUNDS*/
|
dword0(rv) = Exp_mask;
|
dword0(rv) = Exp_mask;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = 0;
|
dword1(rv) = 0;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*Honor_FLT_ROUNDS*/
|
#endif /*Honor_FLT_ROUNDS*/
|
#ifdef SET_INEXACT
|
#ifdef SET_INEXACT
|
/* set overflow bit */
|
/* set overflow bit */
|
dval(rv0) = 1e300;
|
dval(rv0) = 1e300;
|
dval(rv0) *= dval(rv0);
|
dval(rv0) *= dval(rv0);
|
#endif
|
#endif
|
#else /*IEEE_Arith*/
|
#else /*IEEE_Arith*/
|
dword0(rv) = Big0;
|
dword0(rv) = Big0;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = Big1;
|
dword1(rv) = Big1;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*IEEE_Arith*/
|
#endif /*IEEE_Arith*/
|
if (bd0)
|
if (bd0)
|
goto retfree;
|
goto retfree;
|
goto ret;
|
goto ret;
|
}
|
}
|
e1 >>= 4;
|
e1 >>= 4;
|
for(j = 0; e1 > 1; j++, e1 >>= 1)
|
for(j = 0; e1 > 1; j++, e1 >>= 1)
|
if (e1 & 1)
|
if (e1 & 1)
|
dval(rv) *= bigtens[j];
|
dval(rv) *= bigtens[j];
|
/* The last multiplication could overflow. */
|
/* The last multiplication could overflow. */
|
dword0(rv) -= P*Exp_msk1;
|
dword0(rv) -= P*Exp_msk1;
|
dval(rv) *= bigtens[j];
|
dval(rv) *= bigtens[j];
|
if ((z = dword0(rv) & Exp_mask)
|
if ((z = dword0(rv) & Exp_mask)
|
> Exp_msk1*(DBL_MAX_EXP+Bias-P))
|
> Exp_msk1*(DBL_MAX_EXP+Bias-P))
|
goto ovfl;
|
goto ovfl;
|
if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
|
if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
|
/* set to largest number */
|
/* set to largest number */
|
/* (Can't trust DBL_MAX) */
|
/* (Can't trust DBL_MAX) */
|
dword0(rv) = Big0;
|
dword0(rv) = Big0;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = Big1;
|
dword1(rv) = Big1;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
}
|
}
|
else
|
else
|
dword0(rv) += P*Exp_msk1;
|
dword0(rv) += P*Exp_msk1;
|
}
|
}
|
}
|
}
|
else if (e1 < 0) {
|
else if (e1 < 0) {
|
e1 = -e1;
|
e1 = -e1;
|
if ( (i = e1 & 15) !=0)
|
if ( (i = e1 & 15) !=0)
|
dval(rv) /= tens[i];
|
dval(rv) /= tens[i];
|
if (e1 >>= 4) {
|
if (e1 >>= 4) {
|
if (e1 >= 1 << n_bigtens)
|
if (e1 >= 1 << n_bigtens)
|
goto undfl;
|
goto undfl;
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
if (e1 & Scale_Bit)
|
if (e1 & Scale_Bit)
|
scale = 2*P;
|
scale = 2*P;
|
for(j = 0; e1 > 0; j++, e1 >>= 1)
|
for(j = 0; e1 > 0; j++, e1 >>= 1)
|
if (e1 & 1)
|
if (e1 & 1)
|
dval(rv) *= tinytens[j];
|
dval(rv) *= tinytens[j];
|
if (scale && (j = 2*P + 1 - ((dword0(rv) & Exp_mask)
|
if (scale && (j = 2*P + 1 - ((dword0(rv) & Exp_mask)
|
>> Exp_shift)) > 0) {
|
>> Exp_shift)) > 0) {
|
/* scaled rv is denormal; zap j low bits */
|
/* scaled rv is denormal; zap j low bits */
|
if (j >= 32) {
|
if (j >= 32) {
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = 0;
|
dword1(rv) = 0;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
if (j >= 53)
|
if (j >= 53)
|
dword0(rv) = (P+2)*Exp_msk1;
|
dword0(rv) = (P+2)*Exp_msk1;
|
else
|
else
|
dword0(rv) &= 0xffffffff << (j-32);
|
dword0(rv) &= 0xffffffff << (j-32);
|
}
|
}
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
else
|
else
|
dword1(rv) &= 0xffffffff << j;
|
dword1(rv) &= 0xffffffff << j;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
}
|
}
|
#else
|
#else
|
for(j = 0; e1 > 1; j++, e1 >>= 1)
|
for(j = 0; e1 > 1; j++, e1 >>= 1)
|
if (e1 & 1)
|
if (e1 & 1)
|
dval(rv) *= tinytens[j];
|
dval(rv) *= tinytens[j];
|
/* The last multiplication could underflow. */
|
/* The last multiplication could underflow. */
|
dval(rv0) = dval(rv);
|
dval(rv0) = dval(rv);
|
dval(rv) *= tinytens[j];
|
dval(rv) *= tinytens[j];
|
if (!dval(rv)) {
|
if (!dval(rv)) {
|
dval(rv) = 2.*dval(rv0);
|
dval(rv) = 2.*dval(rv0);
|
dval(rv) *= tinytens[j];
|
dval(rv) *= tinytens[j];
|
#endif
|
#endif
|
if (!dval(rv)) {
|
if (!dval(rv)) {
|
undfl:
|
undfl:
|
dval(rv) = 0.;
|
dval(rv) = 0.;
|
#ifndef NO_ERRNO
|
#ifndef NO_ERRNO
|
ptr->_errno = ERANGE;
|
ptr->_errno = ERANGE;
|
#endif
|
#endif
|
if (bd0)
|
if (bd0)
|
goto retfree;
|
goto retfree;
|
goto ret;
|
goto ret;
|
}
|
}
|
#ifndef Avoid_Underflow
|
#ifndef Avoid_Underflow
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword0(rv) = Tiny0;
|
dword0(rv) = Tiny0;
|
dword1(rv) = Tiny1;
|
dword1(rv) = Tiny1;
|
#else
|
#else
|
dword0(rv) = Tiny1;
|
dword0(rv) = Tiny1;
|
#endif /*_DOUBLE_IS_32BITS*/
|
#endif /*_DOUBLE_IS_32BITS*/
|
/* The refinement below will clean
|
/* The refinement below will clean
|
* this approximation up.
|
* this approximation up.
|
*/
|
*/
|
}
|
}
|
#endif
|
#endif
|
}
|
}
|
}
|
}
|
|
|
/* Now the hard part -- adjusting rv to the correct value.*/
|
/* Now the hard part -- adjusting rv to the correct value.*/
|
|
|
/* Put digits into bd: true value = bd * 10^e */
|
/* Put digits into bd: true value = bd * 10^e */
|
|
|
bd0 = s2b(ptr, s0, nd0, nd, y);
|
bd0 = s2b(ptr, s0, nd0, nd, y);
|
|
|
for(;;) {
|
for(;;) {
|
bd = Balloc(ptr,bd0->_k);
|
bd = Balloc(ptr,bd0->_k);
|
Bcopy(bd, bd0);
|
Bcopy(bd, bd0);
|
bb = d2b(ptr,dval(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */
|
bb = d2b(ptr,dval(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */
|
bs = i2b(ptr,1);
|
bs = i2b(ptr,1);
|
|
|
if (e >= 0) {
|
if (e >= 0) {
|
bb2 = bb5 = 0;
|
bb2 = bb5 = 0;
|
bd2 = bd5 = e;
|
bd2 = bd5 = e;
|
}
|
}
|
else {
|
else {
|
bb2 = bb5 = -e;
|
bb2 = bb5 = -e;
|
bd2 = bd5 = 0;
|
bd2 = bd5 = 0;
|
}
|
}
|
if (bbe >= 0)
|
if (bbe >= 0)
|
bb2 += bbe;
|
bb2 += bbe;
|
else
|
else
|
bd2 -= bbe;
|
bd2 -= bbe;
|
bs2 = bb2;
|
bs2 = bb2;
|
#ifdef Honor_FLT_ROUNDS
|
#ifdef Honor_FLT_ROUNDS
|
if (rounding != 1)
|
if (rounding != 1)
|
bs2++;
|
bs2++;
|
#endif
|
#endif
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
j = bbe - scale;
|
j = bbe - scale;
|
i = j + bbbits - 1; /* logb(rv) */
|
i = j + bbbits - 1; /* logb(rv) */
|
if (i < Emin) /* denormal */
|
if (i < Emin) /* denormal */
|
j += P - Emin;
|
j += P - Emin;
|
else
|
else
|
j = P + 1 - bbbits;
|
j = P + 1 - bbbits;
|
#else /*Avoid_Underflow*/
|
#else /*Avoid_Underflow*/
|
#ifdef Sudden_Underflow
|
#ifdef Sudden_Underflow
|
#ifdef IBM
|
#ifdef IBM
|
j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3);
|
j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3);
|
#else
|
#else
|
j = P + 1 - bbbits;
|
j = P + 1 - bbbits;
|
#endif
|
#endif
|
#else /*Sudden_Underflow*/
|
#else /*Sudden_Underflow*/
|
j = bbe;
|
j = bbe;
|
i = j + bbbits - 1; /* logb(rv) */
|
i = j + bbbits - 1; /* logb(rv) */
|
if (i < Emin) /* denormal */
|
if (i < Emin) /* denormal */
|
j += P - Emin;
|
j += P - Emin;
|
else
|
else
|
j = P + 1 - bbbits;
|
j = P + 1 - bbbits;
|
#endif /*Sudden_Underflow*/
|
#endif /*Sudden_Underflow*/
|
#endif /*Avoid_Underflow*/
|
#endif /*Avoid_Underflow*/
|
bb2 += j;
|
bb2 += j;
|
bd2 += j;
|
bd2 += j;
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
bd2 += scale;
|
bd2 += scale;
|
#endif
|
#endif
|
i = bb2 < bd2 ? bb2 : bd2;
|
i = bb2 < bd2 ? bb2 : bd2;
|
if (i > bs2)
|
if (i > bs2)
|
i = bs2;
|
i = bs2;
|
if (i > 0) {
|
if (i > 0) {
|
bb2 -= i;
|
bb2 -= i;
|
bd2 -= i;
|
bd2 -= i;
|
bs2 -= i;
|
bs2 -= i;
|
}
|
}
|
if (bb5 > 0) {
|
if (bb5 > 0) {
|
bs = pow5mult(ptr, bs, bb5);
|
bs = pow5mult(ptr, bs, bb5);
|
bb1 = mult(ptr, bs, bb);
|
bb1 = mult(ptr, bs, bb);
|
Bfree(ptr, bb);
|
Bfree(ptr, bb);
|
bb = bb1;
|
bb = bb1;
|
}
|
}
|
if (bb2 > 0)
|
if (bb2 > 0)
|
bb = lshift(ptr, bb, bb2);
|
bb = lshift(ptr, bb, bb2);
|
if (bd5 > 0)
|
if (bd5 > 0)
|
bd = pow5mult(ptr, bd, bd5);
|
bd = pow5mult(ptr, bd, bd5);
|
if (bd2 > 0)
|
if (bd2 > 0)
|
bd = lshift(ptr, bd, bd2);
|
bd = lshift(ptr, bd, bd2);
|
if (bs2 > 0)
|
if (bs2 > 0)
|
bs = lshift(ptr, bs, bs2);
|
bs = lshift(ptr, bs, bs2);
|
delta = diff(ptr, bb, bd);
|
delta = diff(ptr, bb, bd);
|
dsign = delta->_sign;
|
dsign = delta->_sign;
|
delta->_sign = 0;
|
delta->_sign = 0;
|
i = cmp(delta, bs);
|
i = cmp(delta, bs);
|
#ifdef Honor_FLT_ROUNDS
|
#ifdef Honor_FLT_ROUNDS
|
if (rounding != 1) {
|
if (rounding != 1) {
|
if (i < 0) {
|
if (i < 0) {
|
/* Error is less than an ulp */
|
/* Error is less than an ulp */
|
if (!delta->_x[0] && delta->_wds <= 1) {
|
if (!delta->_x[0] && delta->_wds <= 1) {
|
/* exact */
|
/* exact */
|
#ifdef SET_INEXACT
|
#ifdef SET_INEXACT
|
inexact = 0;
|
inexact = 0;
|
#endif
|
#endif
|
break;
|
break;
|
}
|
}
|
if (rounding) {
|
if (rounding) {
|
if (dsign) {
|
if (dsign) {
|
adj = 1.;
|
adj = 1.;
|
goto apply_adj;
|
goto apply_adj;
|
}
|
}
|
}
|
}
|
else if (!dsign) {
|
else if (!dsign) {
|
adj = -1.;
|
adj = -1.;
|
if (!dword1(rv)
|
if (!dword1(rv)
|
&& !(dword0(rv) & Frac_mask)) {
|
&& !(dword0(rv) & Frac_mask)) {
|
y = dword0(rv) & Exp_mask;
|
y = dword0(rv) & Exp_mask;
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
if (!scale || y > 2*P*Exp_msk1)
|
if (!scale || y > 2*P*Exp_msk1)
|
#else
|
#else
|
if (y)
|
if (y)
|
#endif
|
#endif
|
{
|
{
|
delta = lshift(ptr, delta,Log2P);
|
delta = lshift(ptr, delta,Log2P);
|
if (cmp(delta, bs) <= 0)
|
if (cmp(delta, bs) <= 0)
|
adj = -0.5;
|
adj = -0.5;
|
}
|
}
|
}
|
}
|
apply_adj:
|
apply_adj:
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
if (scale && (y = dword0(rv) & Exp_mask)
|
if (scale && (y = dword0(rv) & Exp_mask)
|
<= 2*P*Exp_msk1)
|
<= 2*P*Exp_msk1)
|
dword0(adj) += (2*P+1)*Exp_msk1 - y;
|
dword0(adj) += (2*P+1)*Exp_msk1 - y;
|
#else
|
#else
|
#ifdef Sudden_Underflow
|
#ifdef Sudden_Underflow
|
if ((dword0(rv) & Exp_mask) <=
|
if ((dword0(rv) & Exp_mask) <=
|
P*Exp_msk1) {
|
P*Exp_msk1) {
|
dword0(rv) += P*Exp_msk1;
|
dword0(rv) += P*Exp_msk1;
|
dval(rv) += adj*ulp(dval(rv));
|
dval(rv) += adj*ulp(dval(rv));
|
dword0(rv) -= P*Exp_msk1;
|
dword0(rv) -= P*Exp_msk1;
|
}
|
}
|
else
|
else
|
#endif /*Sudden_Underflow*/
|
#endif /*Sudden_Underflow*/
|
#endif /*Avoid_Underflow*/
|
#endif /*Avoid_Underflow*/
|
dval(rv) += adj*ulp(dval(rv));
|
dval(rv) += adj*ulp(dval(rv));
|
}
|
}
|
break;
|
break;
|
}
|
}
|
adj = ratio(delta, bs);
|
adj = ratio(delta, bs);
|
if (adj < 1.)
|
if (adj < 1.)
|
adj = 1.;
|
adj = 1.;
|
if (adj <= 0x7ffffffe) {
|
if (adj <= 0x7ffffffe) {
|
/* adj = rounding ? ceil(adj) : floor(adj); */
|
/* adj = rounding ? ceil(adj) : floor(adj); */
|
y = adj;
|
y = adj;
|
if (y != adj) {
|
if (y != adj) {
|
if (!((rounding>>1) ^ dsign))
|
if (!((rounding>>1) ^ dsign))
|
y++;
|
y++;
|
adj = y;
|
adj = y;
|
}
|
}
|
}
|
}
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
if (scale && (y = dword0(rv) & Exp_mask) <= 2*P*Exp_msk1)
|
if (scale && (y = dword0(rv) & Exp_mask) <= 2*P*Exp_msk1)
|
dword0(adj) += (2*P+1)*Exp_msk1 - y;
|
dword0(adj) += (2*P+1)*Exp_msk1 - y;
|
#else
|
#else
|
#ifdef Sudden_Underflow
|
#ifdef Sudden_Underflow
|
if ((dword0(rv) & Exp_mask) <= P*Exp_msk1) {
|
if ((dword0(rv) & Exp_mask) <= P*Exp_msk1) {
|
dword0(rv) += P*Exp_msk1;
|
dword0(rv) += P*Exp_msk1;
|
adj *= ulp(dval(rv));
|
adj *= ulp(dval(rv));
|
if (dsign)
|
if (dsign)
|
dval(rv) += adj;
|
dval(rv) += adj;
|
else
|
else
|
dval(rv) -= adj;
|
dval(rv) -= adj;
|
dword0(rv) -= P*Exp_msk1;
|
dword0(rv) -= P*Exp_msk1;
|
goto cont;
|
goto cont;
|
}
|
}
|
#endif /*Sudden_Underflow*/
|
#endif /*Sudden_Underflow*/
|
#endif /*Avoid_Underflow*/
|
#endif /*Avoid_Underflow*/
|
adj *= ulp(dval(rv));
|
adj *= ulp(dval(rv));
|
if (dsign)
|
if (dsign)
|
dval(rv) += adj;
|
dval(rv) += adj;
|
else
|
else
|
dval(rv) -= adj;
|
dval(rv) -= adj;
|
goto cont;
|
goto cont;
|
}
|
}
|
#endif /*Honor_FLT_ROUNDS*/
|
#endif /*Honor_FLT_ROUNDS*/
|
|
|
if (i < 0) {
|
if (i < 0) {
|
/* Error is less than half an ulp -- check for
|
/* Error is less than half an ulp -- check for
|
* special case of mantissa a power of two.
|
* special case of mantissa a power of two.
|
*/
|
*/
|
if (dsign || dword1(rv) || dword0(rv) & Bndry_mask
|
if (dsign || dword1(rv) || dword0(rv) & Bndry_mask
|
#ifdef IEEE_Arith
|
#ifdef IEEE_Arith
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
|| (dword0(rv) & Exp_mask) <= (2*P+1)*Exp_msk1
|
|| (dword0(rv) & Exp_mask) <= (2*P+1)*Exp_msk1
|
#else
|
#else
|
|| (dword0(rv) & Exp_mask) <= Exp_msk1
|
|| (dword0(rv) & Exp_mask) <= Exp_msk1
|
#endif
|
#endif
|
#endif
|
#endif
|
) {
|
) {
|
#ifdef SET_INEXACT
|
#ifdef SET_INEXACT
|
if (!delta->x[0] && delta->wds <= 1)
|
if (!delta->x[0] && delta->wds <= 1)
|
inexact = 0;
|
inexact = 0;
|
#endif
|
#endif
|
break;
|
break;
|
}
|
}
|
if (!delta->_x[0] && delta->_wds <= 1) {
|
if (!delta->_x[0] && delta->_wds <= 1) {
|
/* exact result */
|
/* exact result */
|
#ifdef SET_INEXACT
|
#ifdef SET_INEXACT
|
inexact = 0;
|
inexact = 0;
|
#endif
|
#endif
|
break;
|
break;
|
}
|
}
|
delta = lshift(ptr,delta,Log2P);
|
delta = lshift(ptr,delta,Log2P);
|
if (cmp(delta, bs) > 0)
|
if (cmp(delta, bs) > 0)
|
goto drop_down;
|
goto drop_down;
|
break;
|
break;
|
}
|
}
|
if (i == 0) {
|
if (i == 0) {
|
/* exactly half-way between */
|
/* exactly half-way between */
|
if (dsign) {
|
if (dsign) {
|
if ((dword0(rv) & Bndry_mask1) == Bndry_mask1
|
if ((dword0(rv) & Bndry_mask1) == Bndry_mask1
|
&& dword1(rv) == (
|
&& dword1(rv) == (
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
(scale && (y = dword0(rv) & Exp_mask) <= 2*P*Exp_msk1)
|
(scale && (y = dword0(rv) & Exp_mask) <= 2*P*Exp_msk1)
|
? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
|
? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
|
#endif
|
#endif
|
0xffffffff)) {
|
0xffffffff)) {
|
/*boundary case -- increment exponent*/
|
/*boundary case -- increment exponent*/
|
dword0(rv) = (dword0(rv) & Exp_mask)
|
dword0(rv) = (dword0(rv) & Exp_mask)
|
+ Exp_msk1
|
+ Exp_msk1
|
#ifdef IBM
|
#ifdef IBM
|
| Exp_msk1 >> 4
|
| Exp_msk1 >> 4
|
#endif
|
#endif
|
;
|
;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = 0;
|
dword1(rv) = 0;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
dsign = 0;
|
dsign = 0;
|
#endif
|
#endif
|
break;
|
break;
|
}
|
}
|
}
|
}
|
else if (!(dword0(rv) & Bndry_mask) && !dword1(rv)) {
|
else if (!(dword0(rv) & Bndry_mask) && !dword1(rv)) {
|
drop_down:
|
drop_down:
|
/* boundary case -- decrement exponent */
|
/* boundary case -- decrement exponent */
|
#ifdef Sudden_Underflow /*{{*/
|
#ifdef Sudden_Underflow /*{{*/
|
L = dword0(rv) & Exp_mask;
|
L = dword0(rv) & Exp_mask;
|
#ifdef IBM
|
#ifdef IBM
|
if (L < Exp_msk1)
|
if (L < Exp_msk1)
|
#else
|
#else
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
if (L <= (scale ? (2*P+1)*Exp_msk1 : Exp_msk1))
|
if (L <= (scale ? (2*P+1)*Exp_msk1 : Exp_msk1))
|
#else
|
#else
|
if (L <= Exp_msk1)
|
if (L <= Exp_msk1)
|
#endif /*Avoid_Underflow*/
|
#endif /*Avoid_Underflow*/
|
#endif /*IBM*/
|
#endif /*IBM*/
|
goto undfl;
|
goto undfl;
|
L -= Exp_msk1;
|
L -= Exp_msk1;
|
#else /*Sudden_Underflow}{*/
|
#else /*Sudden_Underflow}{*/
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
if (scale) {
|
if (scale) {
|
L = dword0(rv) & Exp_mask;
|
L = dword0(rv) & Exp_mask;
|
if (L <= (2*P+1)*Exp_msk1) {
|
if (L <= (2*P+1)*Exp_msk1) {
|
if (L > (P+2)*Exp_msk1)
|
if (L > (P+2)*Exp_msk1)
|
/* round even ==> */
|
/* round even ==> */
|
/* accept rv */
|
/* accept rv */
|
break;
|
break;
|
/* rv = smallest denormal */
|
/* rv = smallest denormal */
|
goto undfl;
|
goto undfl;
|
}
|
}
|
}
|
}
|
#endif /*Avoid_Underflow*/
|
#endif /*Avoid_Underflow*/
|
L = (dword0(rv) & Exp_mask) - Exp_msk1;
|
L = (dword0(rv) & Exp_mask) - Exp_msk1;
|
#endif /*Sudden_Underflow}*/
|
#endif /*Sudden_Underflow}*/
|
dword0(rv) = L | Bndry_mask1;
|
dword0(rv) = L | Bndry_mask1;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = 0xffffffff;
|
dword1(rv) = 0xffffffff;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#ifdef IBM
|
#ifdef IBM
|
goto cont;
|
goto cont;
|
#else
|
#else
|
break;
|
break;
|
#endif
|
#endif
|
}
|
}
|
#ifndef ROUND_BIASED
|
#ifndef ROUND_BIASED
|
if (!(dword1(rv) & LSB))
|
if (!(dword1(rv) & LSB))
|
break;
|
break;
|
#endif
|
#endif
|
if (dsign)
|
if (dsign)
|
dval(rv) += ulp(dval(rv));
|
dval(rv) += ulp(dval(rv));
|
#ifndef ROUND_BIASED
|
#ifndef ROUND_BIASED
|
else {
|
else {
|
dval(rv) -= ulp(dval(rv));
|
dval(rv) -= ulp(dval(rv));
|
#ifndef Sudden_Underflow
|
#ifndef Sudden_Underflow
|
if (!dval(rv))
|
if (!dval(rv))
|
goto undfl;
|
goto undfl;
|
#endif
|
#endif
|
}
|
}
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
dsign = 1 - dsign;
|
dsign = 1 - dsign;
|
#endif
|
#endif
|
#endif
|
#endif
|
break;
|
break;
|
}
|
}
|
if ((aadj = ratio(delta, bs)) <= 2.) {
|
if ((aadj = ratio(delta, bs)) <= 2.) {
|
if (dsign)
|
if (dsign)
|
aadj = dval(aadj1) = 1.;
|
aadj = dval(aadj1) = 1.;
|
else if (dword1(rv) || dword0(rv) & Bndry_mask) {
|
else if (dword1(rv) || dword0(rv) & Bndry_mask) {
|
#ifndef Sudden_Underflow
|
#ifndef Sudden_Underflow
|
if (dword1(rv) == Tiny1 && !dword0(rv))
|
if (dword1(rv) == Tiny1 && !dword0(rv))
|
goto undfl;
|
goto undfl;
|
#endif
|
#endif
|
aadj = 1.;
|
aadj = 1.;
|
dval(aadj1) = -1.;
|
dval(aadj1) = -1.;
|
}
|
}
|
else {
|
else {
|
/* special case -- power of FLT_RADIX to be */
|
/* special case -- power of FLT_RADIX to be */
|
/* rounded down... */
|
/* rounded down... */
|
|
|
if (aadj < 2./FLT_RADIX)
|
if (aadj < 2./FLT_RADIX)
|
aadj = 1./FLT_RADIX;
|
aadj = 1./FLT_RADIX;
|
else
|
else
|
aadj *= 0.5;
|
aadj *= 0.5;
|
dval(aadj1) = -aadj;
|
dval(aadj1) = -aadj;
|
}
|
}
|
}
|
}
|
else {
|
else {
|
aadj *= 0.5;
|
aadj *= 0.5;
|
dval(aadj1) = dsign ? aadj : -aadj;
|
dval(aadj1) = dsign ? aadj : -aadj;
|
#ifdef Check_FLT_ROUNDS
|
#ifdef Check_FLT_ROUNDS
|
switch(Rounding) {
|
switch(Rounding) {
|
case 2: /* towards +infinity */
|
case 2: /* towards +infinity */
|
dval(aadj1) -= 0.5;
|
dval(aadj1) -= 0.5;
|
break;
|
break;
|
case 0: /* towards 0 */
|
case 0: /* towards 0 */
|
case 3: /* towards -infinity */
|
case 3: /* towards -infinity */
|
dval(aadj1) += 0.5;
|
dval(aadj1) += 0.5;
|
}
|
}
|
#else
|
#else
|
if (Flt_Rounds == 0)
|
if (Flt_Rounds == 0)
|
dval(aadj1) += 0.5;
|
dval(aadj1) += 0.5;
|
#endif /*Check_FLT_ROUNDS*/
|
#endif /*Check_FLT_ROUNDS*/
|
}
|
}
|
y = dword0(rv) & Exp_mask;
|
y = dword0(rv) & Exp_mask;
|
|
|
/* Check for overflow */
|
/* Check for overflow */
|
|
|
if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
|
if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
|
dval(rv0) = dval(rv);
|
dval(rv0) = dval(rv);
|
dword0(rv) -= P*Exp_msk1;
|
dword0(rv) -= P*Exp_msk1;
|
adj = dval(aadj1) * ulp(dval(rv));
|
adj = dval(aadj1) * ulp(dval(rv));
|
dval(rv) += adj;
|
dval(rv) += adj;
|
if ((dword0(rv) & Exp_mask) >=
|
if ((dword0(rv) & Exp_mask) >=
|
Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
|
Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
|
if (dword0(rv0) == Big0 && dword1(rv0) == Big1)
|
if (dword0(rv0) == Big0 && dword1(rv0) == Big1)
|
goto ovfl;
|
goto ovfl;
|
dword0(rv) = Big0;
|
dword0(rv) = Big0;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv) = Big1;
|
dword1(rv) = Big1;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
goto cont;
|
goto cont;
|
}
|
}
|
else
|
else
|
dword0(rv) += P*Exp_msk1;
|
dword0(rv) += P*Exp_msk1;
|
}
|
}
|
else {
|
else {
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
if (scale && y <= 2*P*Exp_msk1) {
|
if (scale && y <= 2*P*Exp_msk1) {
|
if (aadj <= 0x7fffffff) {
|
if (aadj <= 0x7fffffff) {
|
if ((z = aadj) <= 0)
|
if ((z = aadj) <= 0)
|
z = 1;
|
z = 1;
|
aadj = z;
|
aadj = z;
|
dval(aadj1) = dsign ? aadj : -aadj;
|
dval(aadj1) = dsign ? aadj : -aadj;
|
}
|
}
|
dword0(aadj1) += (2*P+1)*Exp_msk1 - y;
|
dword0(aadj1) += (2*P+1)*Exp_msk1 - y;
|
}
|
}
|
adj = dval(aadj1) * ulp(dval(rv));
|
adj = dval(aadj1) * ulp(dval(rv));
|
dval(rv) += adj;
|
dval(rv) += adj;
|
#else
|
#else
|
#ifdef Sudden_Underflow
|
#ifdef Sudden_Underflow
|
if ((dword0(rv) & Exp_mask) <= P*Exp_msk1) {
|
if ((dword0(rv) & Exp_mask) <= P*Exp_msk1) {
|
dval(rv0) = dval(rv);
|
dval(rv0) = dval(rv);
|
dword0(rv) += P*Exp_msk1;
|
dword0(rv) += P*Exp_msk1;
|
adj = dval(aadj1) * ulp(dval(rv));
|
adj = dval(aadj1) * ulp(dval(rv));
|
dval(rv) += adj;
|
dval(rv) += adj;
|
#ifdef IBM
|
#ifdef IBM
|
if ((dword0(rv) & Exp_mask) < P*Exp_msk1)
|
if ((dword0(rv) & Exp_mask) < P*Exp_msk1)
|
#else
|
#else
|
if ((dword0(rv) & Exp_mask) <= P*Exp_msk1)
|
if ((dword0(rv) & Exp_mask) <= P*Exp_msk1)
|
#endif
|
#endif
|
{
|
{
|
if (dword0(rv0) == Tiny0
|
if (dword0(rv0) == Tiny0
|
&& dword1(rv0) == Tiny1)
|
&& dword1(rv0) == Tiny1)
|
goto undfl;
|
goto undfl;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword0(rv) = Tiny0;
|
dword0(rv) = Tiny0;
|
dword1(rv) = Tiny1;
|
dword1(rv) = Tiny1;
|
#else
|
#else
|
dword0(rv) = Tiny1;
|
dword0(rv) = Tiny1;
|
#endif /*_DOUBLE_IS_32BITS*/
|
#endif /*_DOUBLE_IS_32BITS*/
|
goto cont;
|
goto cont;
|
}
|
}
|
else
|
else
|
dword0(rv) -= P*Exp_msk1;
|
dword0(rv) -= P*Exp_msk1;
|
}
|
}
|
else {
|
else {
|
adj = dval(aadj1) * ulp(dval(rv));
|
adj = dval(aadj1) * ulp(dval(rv));
|
dval(rv) += adj;
|
dval(rv) += adj;
|
}
|
}
|
#else /*Sudden_Underflow*/
|
#else /*Sudden_Underflow*/
|
/* Compute adj so that the IEEE rounding rules will
|
/* Compute adj so that the IEEE rounding rules will
|
* correctly round rv + adj in some half-way cases.
|
* correctly round rv + adj in some half-way cases.
|
* If rv * ulp(rv) is denormalized (i.e.,
|
* If rv * ulp(rv) is denormalized (i.e.,
|
* y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
|
* y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
|
* trouble from bits lost to denormalization;
|
* trouble from bits lost to denormalization;
|
* example: 1.2e-307 .
|
* example: 1.2e-307 .
|
*/
|
*/
|
if (y <= (P-1)*Exp_msk1 && aadj > 1.) {
|
if (y <= (P-1)*Exp_msk1 && aadj > 1.) {
|
dval(aadj1) = (double)(int)(aadj + 0.5);
|
dval(aadj1) = (double)(int)(aadj + 0.5);
|
if (!dsign)
|
if (!dsign)
|
dval(aadj1) = -dval(aadj1);
|
dval(aadj1) = -dval(aadj1);
|
}
|
}
|
adj = dval(aadj1) * ulp(dval(rv));
|
adj = dval(aadj1) * ulp(dval(rv));
|
dval(rv) += adj;
|
dval(rv) += adj;
|
#endif /*Sudden_Underflow*/
|
#endif /*Sudden_Underflow*/
|
#endif /*Avoid_Underflow*/
|
#endif /*Avoid_Underflow*/
|
}
|
}
|
z = dword0(rv) & Exp_mask;
|
z = dword0(rv) & Exp_mask;
|
#ifndef SET_INEXACT
|
#ifndef SET_INEXACT
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
if (!scale)
|
if (!scale)
|
#endif
|
#endif
|
if (y == z) {
|
if (y == z) {
|
/* Can we stop now? */
|
/* Can we stop now? */
|
L = (Long)aadj;
|
L = (Long)aadj;
|
aadj -= L;
|
aadj -= L;
|
/* The tolerances below are conservative. */
|
/* The tolerances below are conservative. */
|
if (dsign || dword1(rv) || dword0(rv) & Bndry_mask) {
|
if (dsign || dword1(rv) || dword0(rv) & Bndry_mask) {
|
if (aadj < .4999999 || aadj > .5000001)
|
if (aadj < .4999999 || aadj > .5000001)
|
break;
|
break;
|
}
|
}
|
else if (aadj < .4999999/FLT_RADIX)
|
else if (aadj < .4999999/FLT_RADIX)
|
break;
|
break;
|
}
|
}
|
#endif
|
#endif
|
cont:
|
cont:
|
Bfree(ptr,bb);
|
Bfree(ptr,bb);
|
Bfree(ptr,bd);
|
Bfree(ptr,bd);
|
Bfree(ptr,bs);
|
Bfree(ptr,bs);
|
Bfree(ptr,delta);
|
Bfree(ptr,delta);
|
}
|
}
|
#ifdef SET_INEXACT
|
#ifdef SET_INEXACT
|
if (inexact) {
|
if (inexact) {
|
if (!oldinexact) {
|
if (!oldinexact) {
|
dword0(rv0) = Exp_1 + (70 << Exp_shift);
|
dword0(rv0) = Exp_1 + (70 << Exp_shift);
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv0) = 0;
|
dword1(rv0) = 0;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
dval(rv0) += 1.;
|
dval(rv0) += 1.;
|
}
|
}
|
}
|
}
|
else if (!oldinexact)
|
else if (!oldinexact)
|
clear_inexact();
|
clear_inexact();
|
#endif
|
#endif
|
#ifdef Avoid_Underflow
|
#ifdef Avoid_Underflow
|
if (scale) {
|
if (scale) {
|
dword0(rv0) = Exp_1 - 2*P*Exp_msk1;
|
dword0(rv0) = Exp_1 - 2*P*Exp_msk1;
|
#ifndef _DOUBLE_IS_32BITS
|
#ifndef _DOUBLE_IS_32BITS
|
dword1(rv0) = 0;
|
dword1(rv0) = 0;
|
#endif /*!_DOUBLE_IS_32BITS*/
|
#endif /*!_DOUBLE_IS_32BITS*/
|
dval(rv) *= dval(rv0);
|
dval(rv) *= dval(rv0);
|
#ifndef NO_ERRNO
|
#ifndef NO_ERRNO
|
/* try to avoid the bug of testing an 8087 register value */
|
/* try to avoid the bug of testing an 8087 register value */
|
if (dword0(rv) == 0 && dword1(rv) == 0)
|
if (dword0(rv) == 0 && dword1(rv) == 0)
|
ptr->_errno = ERANGE;
|
ptr->_errno = ERANGE;
|
#endif
|
#endif
|
}
|
}
|
#endif /* Avoid_Underflow */
|
#endif /* Avoid_Underflow */
|
#ifdef SET_INEXACT
|
#ifdef SET_INEXACT
|
if (inexact && !(dword0(rv) & Exp_mask)) {
|
if (inexact && !(dword0(rv) & Exp_mask)) {
|
/* set underflow bit */
|
/* set underflow bit */
|
dval(rv0) = 1e-300;
|
dval(rv0) = 1e-300;
|
dval(rv0) *= dval(rv0);
|
dval(rv0) *= dval(rv0);
|
}
|
}
|
#endif
|
#endif
|
retfree:
|
retfree:
|
Bfree(ptr,bb);
|
Bfree(ptr,bb);
|
Bfree(ptr,bd);
|
Bfree(ptr,bd);
|
Bfree(ptr,bs);
|
Bfree(ptr,bs);
|
Bfree(ptr,bd0);
|
Bfree(ptr,bd0);
|
Bfree(ptr,delta);
|
Bfree(ptr,delta);
|
ret:
|
ret:
|
if (se)
|
if (se)
|
*se = (char *)s;
|
*se = (char *)s;
|
return sign ? -dval(rv) : dval(rv);
|
return sign ? -dval(rv) : dval(rv);
|
}
|
}
|
|
|
#ifndef _REENT_ONLY
|
#ifndef _REENT_ONLY
|
|
|
double
|
double
|
_DEFUN (strtod, (s00, se),
|
_DEFUN (strtod, (s00, se),
|
_CONST char *s00 _AND char **se)
|
_CONST char *s00 _AND char **se)
|
{
|
{
|
return _strtod_r (_REENT, s00, se);
|
return _strtod_r (_REENT, s00, se);
|
}
|
}
|
|
|
float
|
float
|
_DEFUN (strtof, (s00, se),
|
_DEFUN (strtof, (s00, se),
|
_CONST char *s00 _AND
|
_CONST char *s00 _AND
|
char **se)
|
char **se)
|
{
|
{
|
double retval = _strtod_r (_REENT, s00, se);
|
double retval = _strtod_r (_REENT, s00, se);
|
if (isnan (retval))
|
if (isnan (retval))
|
return nanf (NULL);
|
return nanf (NULL);
|
return (float)retval;
|
return (float)retval;
|
}
|
}
|
|
|
#endif
|
#endif
|
|
|
