mirror of
https://github.com/DrBeef/Raze.git
synced 2024-11-29 07:22:33 +00:00
718112a8fe
Currently none of these is being used, but eventually they will, once more code gets ported over. So it's better to have them right away and avoid editing the project file too much, only to revert that later.
1065 lines
21 KiB
C
1065 lines
21 KiB
C
/****************************************************************
|
|
|
|
The author of this software is David M. Gay.
|
|
|
|
Copyright (C) 1998-2001 by Lucent Technologies
|
|
All Rights Reserved
|
|
|
|
Permission to use, copy, modify, and distribute this software and
|
|
its documentation for any purpose and without fee is hereby
|
|
granted, provided that the above copyright notice appear in all
|
|
copies and that both that the copyright notice and this
|
|
permission notice and warranty disclaimer appear in supporting
|
|
documentation, and that the name of Lucent or any of its entities
|
|
not be used in advertising or publicity pertaining to
|
|
distribution of the software without specific, written prior
|
|
permission.
|
|
|
|
LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
|
|
INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
|
|
IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
|
|
SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
|
|
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
|
|
IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
|
|
ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
|
|
THIS SOFTWARE.
|
|
|
|
****************************************************************/
|
|
|
|
/* Please send bug reports to David M. Gay (dmg at acm dot org,
|
|
* with " at " changed at "@" and " dot " changed to "."). */
|
|
|
|
#include "gdtoaimp.h"
|
|
|
|
#ifdef USE_LOCALE
|
|
#include "locale.h"
|
|
#endif
|
|
|
|
static CONST int
|
|
fivesbits[] = { 0, 3, 5, 7, 10, 12, 14, 17, 19, 21,
|
|
24, 26, 28, 31, 33, 35, 38, 40, 42, 45,
|
|
47, 49, 52
|
|
#ifdef VAX
|
|
, 54, 56
|
|
#endif
|
|
};
|
|
|
|
Bigint *
|
|
#ifdef KR_headers
|
|
increment(b) Bigint *b;
|
|
#else
|
|
increment(Bigint *b)
|
|
#endif
|
|
{
|
|
ULong *x, *xe;
|
|
Bigint *b1;
|
|
#ifdef Pack_16
|
|
ULong carry = 1, y;
|
|
#endif
|
|
|
|
x = b->x;
|
|
xe = x + b->wds;
|
|
#ifdef Pack_32
|
|
do {
|
|
if (*x < (ULong)0xffffffffL) {
|
|
++*x;
|
|
return b;
|
|
}
|
|
*x++ = 0;
|
|
} while(x < xe);
|
|
#else
|
|
do {
|
|
y = *x + carry;
|
|
carry = y >> 16;
|
|
*x++ = y & 0xffff;
|
|
if (!carry)
|
|
return b;
|
|
} while(x < xe);
|
|
if (carry)
|
|
#endif
|
|
{
|
|
if (b->wds >= b->maxwds) {
|
|
b1 = Balloc(b->k+1);
|
|
Bcopy(b1,b);
|
|
Bfree(b);
|
|
b = b1;
|
|
}
|
|
b->x[b->wds++] = 1;
|
|
}
|
|
return b;
|
|
}
|
|
|
|
void
|
|
#ifdef KR_headers
|
|
decrement(b) Bigint *b;
|
|
#else
|
|
decrement(Bigint *b)
|
|
#endif
|
|
{
|
|
ULong *x, *xe;
|
|
#ifdef Pack_16
|
|
ULong borrow = 1, y;
|
|
#endif
|
|
|
|
x = b->x;
|
|
xe = x + b->wds;
|
|
#ifdef Pack_32
|
|
do {
|
|
if (*x) {
|
|
--*x;
|
|
break;
|
|
}
|
|
*x++ = 0xffffffffL;
|
|
}
|
|
while(x < xe);
|
|
#else
|
|
do {
|
|
y = *x - borrow;
|
|
borrow = (y & 0x10000) >> 16;
|
|
*x++ = y & 0xffff;
|
|
} while(borrow && x < xe);
|
|
#endif
|
|
}
|
|
|
|
static int
|
|
#ifdef KR_headers
|
|
all_on(b, n) Bigint *b; int n;
|
|
#else
|
|
all_on(Bigint *b, int n)
|
|
#endif
|
|
{
|
|
ULong *x, *xe;
|
|
|
|
x = b->x;
|
|
xe = x + (n >> kshift);
|
|
while(x < xe)
|
|
if ((*x++ & ALL_ON) != ALL_ON)
|
|
return 0;
|
|
if (n &= kmask)
|
|
return ((*x | (ALL_ON << n)) & ALL_ON) == ALL_ON;
|
|
return 1;
|
|
}
|
|
|
|
Bigint *
|
|
#ifdef KR_headers
|
|
set_ones(b, n) Bigint *b; int n;
|
|
#else
|
|
set_ones(Bigint *b, int n)
|
|
#endif
|
|
{
|
|
int k;
|
|
ULong *x, *xe;
|
|
|
|
k = (n + ((1 << kshift) - 1)) >> kshift;
|
|
if (b->k < k) {
|
|
Bfree(b);
|
|
b = Balloc(k);
|
|
}
|
|
k = n >> kshift;
|
|
if (n &= kmask)
|
|
k++;
|
|
b->wds = k;
|
|
x = b->x;
|
|
xe = x + k;
|
|
while(x < xe)
|
|
*x++ = ALL_ON;
|
|
if (n)
|
|
x[-1] >>= ULbits - n;
|
|
return b;
|
|
}
|
|
|
|
static int
|
|
rvOK
|
|
#ifdef KR_headers
|
|
(d, fpi, exp, bits, exact, rd, irv)
|
|
U *d; FPI *fpi; Long *exp; ULong *bits; int exact, rd, *irv;
|
|
#else
|
|
(U *d, FPI *fpi, Long *exp, ULong *bits, int exact, int rd, int *irv)
|
|
#endif
|
|
{
|
|
Bigint *b;
|
|
ULong carry, inex, lostbits;
|
|
int bdif, e, j, k, k1, nb, rv;
|
|
|
|
carry = rv = 0;
|
|
b = d2b(dval(d), &e, &bdif);
|
|
bdif -= nb = fpi->nbits;
|
|
e += bdif;
|
|
if (bdif <= 0) {
|
|
if (exact)
|
|
goto trunc;
|
|
goto ret;
|
|
}
|
|
if (P == nb) {
|
|
if (
|
|
#ifndef IMPRECISE_INEXACT
|
|
exact &&
|
|
#endif
|
|
fpi->rounding ==
|
|
#ifdef RND_PRODQUOT
|
|
FPI_Round_near
|
|
#else
|
|
Flt_Rounds
|
|
#endif
|
|
) goto trunc;
|
|
goto ret;
|
|
}
|
|
switch(rd) {
|
|
case 1: /* round down (toward -Infinity) */
|
|
goto trunc;
|
|
case 2: /* round up (toward +Infinity) */
|
|
break;
|
|
default: /* round near */
|
|
k = bdif - 1;
|
|
if (k < 0)
|
|
goto trunc;
|
|
if (!k) {
|
|
if (!exact)
|
|
goto ret;
|
|
if (b->x[0] & 2)
|
|
break;
|
|
goto trunc;
|
|
}
|
|
if (b->x[k>>kshift] & ((ULong)1 << (k & kmask)))
|
|
break;
|
|
goto trunc;
|
|
}
|
|
/* "break" cases: round up 1 bit, then truncate; bdif > 0 */
|
|
carry = 1;
|
|
trunc:
|
|
inex = lostbits = 0;
|
|
if (bdif > 0) {
|
|
if ( (lostbits = any_on(b, bdif)) !=0)
|
|
inex = STRTOG_Inexlo;
|
|
rshift(b, bdif);
|
|
if (carry) {
|
|
inex = STRTOG_Inexhi;
|
|
b = increment(b);
|
|
if ( (j = nb & kmask) !=0)
|
|
j = ULbits - j;
|
|
if (hi0bits(b->x[b->wds - 1]) != j) {
|
|
if (!lostbits)
|
|
lostbits = b->x[0] & 1;
|
|
rshift(b, 1);
|
|
e++;
|
|
}
|
|
}
|
|
}
|
|
else if (bdif < 0)
|
|
b = lshift(b, -bdif);
|
|
if (e < fpi->emin) {
|
|
k = fpi->emin - e;
|
|
e = fpi->emin;
|
|
if (k > nb || fpi->sudden_underflow) {
|
|
b->wds = inex = 0;
|
|
*irv = STRTOG_Underflow | STRTOG_Inexlo;
|
|
}
|
|
else {
|
|
k1 = k - 1;
|
|
if (k1 > 0 && !lostbits)
|
|
lostbits = any_on(b, k1);
|
|
if (!lostbits && !exact)
|
|
goto ret;
|
|
lostbits |=
|
|
carry = b->x[k1>>kshift] & (1 << (k1 & kmask));
|
|
rshift(b, k);
|
|
*irv = STRTOG_Denormal;
|
|
if (carry) {
|
|
b = increment(b);
|
|
inex = STRTOG_Inexhi | STRTOG_Underflow;
|
|
}
|
|
else if (lostbits)
|
|
inex = STRTOG_Inexlo | STRTOG_Underflow;
|
|
}
|
|
}
|
|
else if (e > fpi->emax) {
|
|
e = fpi->emax + 1;
|
|
*irv = STRTOG_Infinite | STRTOG_Overflow | STRTOG_Inexhi;
|
|
#ifndef NO_ERRNO
|
|
errno = ERANGE;
|
|
#endif
|
|
b->wds = inex = 0;
|
|
}
|
|
*exp = e;
|
|
copybits(bits, nb, b);
|
|
*irv |= inex;
|
|
rv = 1;
|
|
ret:
|
|
Bfree(b);
|
|
return rv;
|
|
}
|
|
|
|
static int
|
|
#ifdef KR_headers
|
|
mantbits(d) U *d;
|
|
#else
|
|
mantbits(U *d)
|
|
#endif
|
|
{
|
|
ULong L;
|
|
#ifdef VAX
|
|
L = word1(d) << 16 | word1(d) >> 16;
|
|
if (L)
|
|
#else
|
|
if ( (L = word1(d)) !=0)
|
|
#endif
|
|
return P - lo0bits(&L);
|
|
#ifdef VAX
|
|
L = word0(d) << 16 | word0(d) >> 16 | Exp_msk11;
|
|
#else
|
|
L = word0(d) | Exp_msk1;
|
|
#endif
|
|
return P - 32 - lo0bits(&L);
|
|
}
|
|
|
|
int
|
|
strtodg
|
|
#ifdef KR_headers
|
|
(s00, se, fpi, exp, bits)
|
|
CONST char *s00; char **se; FPI *fpi; Long *exp; ULong *bits;
|
|
#else
|
|
(CONST char *s00, char **se, FPI *fpi, Long *exp, ULong *bits)
|
|
#endif
|
|
{
|
|
int abe, abits, asub;
|
|
int bb0, bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, decpt, denorm;
|
|
int dsign, e, e1, e2, emin, esign, finished, i, inex, irv;
|
|
int j, k, nbits, nd, nd0, nf, nz, nz0, rd, rvbits, rve, rve1, sign;
|
|
int sudden_underflow;
|
|
CONST char *s, *s0, *s1;
|
|
double adj0, tol;
|
|
Long L;
|
|
U adj, rv;
|
|
ULong *b, *be, y, z;
|
|
Bigint *ab, *bb, *bb1, *bd, *bd0, *bs, *delta, *rvb, *rvb0;
|
|
#ifdef USE_LOCALE /*{{*/
|
|
#ifdef NO_LOCALE_CACHE
|
|
char *decimalpoint = localeconv()->decimal_point;
|
|
int dplen = strlen(decimalpoint);
|
|
#else
|
|
char *decimalpoint;
|
|
static char *decimalpoint_cache;
|
|
static int dplen;
|
|
if (!(s0 = decimalpoint_cache)) {
|
|
s0 = localeconv()->decimal_point;
|
|
if ((decimalpoint_cache = (char*)MALLOC(strlen(s0) + 1))) {
|
|
strcpy(decimalpoint_cache, s0);
|
|
s0 = decimalpoint_cache;
|
|
}
|
|
dplen = strlen(s0);
|
|
}
|
|
decimalpoint = (char*)s0;
|
|
#endif /*NO_LOCALE_CACHE*/
|
|
#else /*USE_LOCALE}{*/
|
|
#define dplen 1
|
|
#endif /*USE_LOCALE}}*/
|
|
|
|
irv = STRTOG_Zero;
|
|
denorm = sign = nz0 = nz = 0;
|
|
dval(&rv) = 0.;
|
|
rvb = 0;
|
|
nbits = fpi->nbits;
|
|
for(s = s00;;s++) switch(*s) {
|
|
case '-':
|
|
sign = 1;
|
|
/* no break */
|
|
case '+':
|
|
if (*++s)
|
|
goto break2;
|
|
/* no break */
|
|
case 0:
|
|
sign = 0;
|
|
irv = STRTOG_NoNumber;
|
|
s = s00;
|
|
goto ret;
|
|
case '\t':
|
|
case '\n':
|
|
case '\v':
|
|
case '\f':
|
|
case '\r':
|
|
case ' ':
|
|
continue;
|
|
default:
|
|
goto break2;
|
|
}
|
|
break2:
|
|
if (*s == '0') {
|
|
#ifndef NO_HEX_FP
|
|
switch(s[1]) {
|
|
case 'x':
|
|
case 'X':
|
|
irv = gethex(&s, fpi, exp, &rvb, sign);
|
|
if (irv == STRTOG_NoNumber) {
|
|
s = s00;
|
|
sign = 0;
|
|
}
|
|
goto ret;
|
|
}
|
|
#endif
|
|
nz0 = 1;
|
|
while(*++s == '0') ;
|
|
if (!*s)
|
|
goto ret;
|
|
}
|
|
sudden_underflow = fpi->sudden_underflow;
|
|
s0 = s;
|
|
y = z = 0;
|
|
for(decpt = nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
|
|
if (nd < 9)
|
|
y = 10*y + c - '0';
|
|
else if (nd < 16)
|
|
z = 10*z + c - '0';
|
|
nd0 = nd;
|
|
#ifdef USE_LOCALE
|
|
if (c == *decimalpoint) {
|
|
for(i = 1; decimalpoint[i]; ++i)
|
|
if (s[i] != decimalpoint[i])
|
|
goto dig_done;
|
|
s += i;
|
|
c = *s;
|
|
#else
|
|
if (c == '.') {
|
|
c = *++s;
|
|
#endif
|
|
decpt = 1;
|
|
if (!nd) {
|
|
for(; c == '0'; c = *++s)
|
|
nz++;
|
|
if (c > '0' && c <= '9') {
|
|
s0 = s;
|
|
nf += nz;
|
|
nz = 0;
|
|
goto have_dig;
|
|
}
|
|
goto dig_done;
|
|
}
|
|
for(; c >= '0' && c <= '9'; c = *++s) {
|
|
have_dig:
|
|
nz++;
|
|
if (c -= '0') {
|
|
nf += nz;
|
|
for(i = 1; i < nz; i++)
|
|
if (nd++ < 9)
|
|
y *= 10;
|
|
else if (nd <= DBL_DIG + 1)
|
|
z *= 10;
|
|
if (nd++ < 9)
|
|
y = 10*y + c;
|
|
else if (nd <= DBL_DIG + 1)
|
|
z = 10*z + c;
|
|
nz = 0;
|
|
}
|
|
}
|
|
}/*}*/
|
|
dig_done:
|
|
e = 0;
|
|
if (c == 'e' || c == 'E') {
|
|
if (!nd && !nz && !nz0) {
|
|
irv = STRTOG_NoNumber;
|
|
s = s00;
|
|
goto ret;
|
|
}
|
|
s00 = s;
|
|
esign = 0;
|
|
switch(c = *++s) {
|
|
case '-':
|
|
esign = 1;
|
|
case '+':
|
|
c = *++s;
|
|
}
|
|
if (c >= '0' && c <= '9') {
|
|
while(c == '0')
|
|
c = *++s;
|
|
if (c > '0' && c <= '9') {
|
|
L = c - '0';
|
|
s1 = s;
|
|
while((c = *++s) >= '0' && c <= '9')
|
|
L = 10*L + c - '0';
|
|
if (s - s1 > 8 || L > 19999)
|
|
/* Avoid confusion from exponents
|
|
* so large that e might overflow.
|
|
*/
|
|
e = 19999; /* safe for 16 bit ints */
|
|
else
|
|
e = (int)L;
|
|
if (esign)
|
|
e = -e;
|
|
}
|
|
else
|
|
e = 0;
|
|
}
|
|
else
|
|
s = s00;
|
|
}
|
|
if (!nd) {
|
|
if (!nz && !nz0) {
|
|
#ifdef INFNAN_CHECK
|
|
/* Check for Nan and Infinity */
|
|
if (!decpt)
|
|
switch(c) {
|
|
case 'i':
|
|
case 'I':
|
|
if (match(&s,"nf")) {
|
|
--s;
|
|
if (!match(&s,"inity"))
|
|
++s;
|
|
irv = STRTOG_Infinite;
|
|
goto infnanexp;
|
|
}
|
|
break;
|
|
case 'n':
|
|
case 'N':
|
|
if (match(&s, "an")) {
|
|
irv = STRTOG_NaN;
|
|
*exp = fpi->emax + 1;
|
|
#ifndef No_Hex_NaN
|
|
if (*s == '(') /*)*/
|
|
irv = hexnan(&s, fpi, bits);
|
|
#endif
|
|
goto infnanexp;
|
|
}
|
|
}
|
|
#endif /* INFNAN_CHECK */
|
|
irv = STRTOG_NoNumber;
|
|
s = s00;
|
|
}
|
|
goto ret;
|
|
}
|
|
|
|
irv = STRTOG_Normal;
|
|
e1 = e -= nf;
|
|
rd = 0;
|
|
switch(fpi->rounding & 3) {
|
|
case FPI_Round_up:
|
|
rd = 2 - sign;
|
|
break;
|
|
case FPI_Round_zero:
|
|
rd = 1;
|
|
break;
|
|
case FPI_Round_down:
|
|
rd = 1 + sign;
|
|
}
|
|
|
|
/* Now we have nd0 digits, starting at s0, followed by a
|
|
* decimal point, followed by nd-nd0 digits. The number we're
|
|
* after is the integer represented by those digits times
|
|
* 10**e */
|
|
|
|
if (!nd0)
|
|
nd0 = nd;
|
|
k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
|
|
dval(&rv) = y;
|
|
if (k > 9)
|
|
dval(&rv) = tens[k - 9] * dval(&rv) + z;
|
|
bd0 = 0;
|
|
if (nbits <= P && nd <= DBL_DIG) {
|
|
if (!e) {
|
|
if (rvOK(&rv, fpi, exp, bits, 1, rd, &irv))
|
|
goto ret;
|
|
}
|
|
else if (e > 0) {
|
|
if (e <= Ten_pmax) {
|
|
#ifdef VAX
|
|
goto vax_ovfl_check;
|
|
#else
|
|
i = fivesbits[e] + mantbits(&rv) <= P;
|
|
/* rv = */ rounded_product(dval(&rv), tens[e]);
|
|
if (rvOK(&rv, fpi, exp, bits, i, rd, &irv))
|
|
goto ret;
|
|
e1 -= e;
|
|
goto rv_notOK;
|
|
#endif
|
|
}
|
|
i = DBL_DIG - nd;
|
|
if (e <= Ten_pmax + i) {
|
|
/* A fancier test would sometimes let us do
|
|
* this for larger i values.
|
|
*/
|
|
e2 = e - i;
|
|
e1 -= i;
|
|
dval(&rv) *= tens[i];
|
|
#ifdef VAX
|
|
/* VAX exponent range is so narrow we must
|
|
* worry about overflow here...
|
|
*/
|
|
vax_ovfl_check:
|
|
dval(&adj) = dval(&rv);
|
|
word0(&adj) -= P*Exp_msk1;
|
|
/* adj = */ rounded_product(dval(&adj), tens[e2]);
|
|
if ((word0(&adj) & Exp_mask)
|
|
> Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
|
|
goto rv_notOK;
|
|
word0(&adj) += P*Exp_msk1;
|
|
dval(&rv) = dval(&adj);
|
|
#else
|
|
/* rv = */ rounded_product(dval(&rv), tens[e2]);
|
|
#endif
|
|
if (rvOK(&rv, fpi, exp, bits, 0, rd, &irv))
|
|
goto ret;
|
|
e1 -= e2;
|
|
}
|
|
}
|
|
#ifndef Inaccurate_Divide
|
|
else if (e >= -Ten_pmax) {
|
|
/* rv = */ rounded_quotient(dval(&rv), tens[-e]);
|
|
if (rvOK(&rv, fpi, exp, bits, 0, rd, &irv))
|
|
goto ret;
|
|
e1 -= e;
|
|
}
|
|
#endif
|
|
}
|
|
rv_notOK:
|
|
e1 += nd - k;
|
|
|
|
/* Get starting approximation = rv * 10**e1 */
|
|
|
|
e2 = 0;
|
|
if (e1 > 0) {
|
|
if ( (i = e1 & 15) !=0)
|
|
dval(&rv) *= tens[i];
|
|
if (e1 &= ~15) {
|
|
e1 >>= 4;
|
|
while(e1 >= (1 << (n_bigtens-1))) {
|
|
e2 += ((word0(&rv) & Exp_mask)
|
|
>> Exp_shift1) - Bias;
|
|
word0(&rv) &= ~Exp_mask;
|
|
word0(&rv) |= Bias << Exp_shift1;
|
|
dval(&rv) *= bigtens[n_bigtens-1];
|
|
e1 -= 1 << (n_bigtens-1);
|
|
}
|
|
e2 += ((word0(&rv) & Exp_mask) >> Exp_shift1) - Bias;
|
|
word0(&rv) &= ~Exp_mask;
|
|
word0(&rv) |= Bias << Exp_shift1;
|
|
for(j = 0; e1 > 0; j++, e1 >>= 1)
|
|
if (e1 & 1)
|
|
dval(&rv) *= bigtens[j];
|
|
}
|
|
}
|
|
else if (e1 < 0) {
|
|
e1 = -e1;
|
|
if ( (i = e1 & 15) !=0)
|
|
dval(&rv) /= tens[i];
|
|
if (e1 &= ~15) {
|
|
e1 >>= 4;
|
|
while(e1 >= (1 << (n_bigtens-1))) {
|
|
e2 += ((word0(&rv) & Exp_mask)
|
|
>> Exp_shift1) - Bias;
|
|
word0(&rv) &= ~Exp_mask;
|
|
word0(&rv) |= Bias << Exp_shift1;
|
|
dval(&rv) *= tinytens[n_bigtens-1];
|
|
e1 -= 1 << (n_bigtens-1);
|
|
}
|
|
e2 += ((word0(&rv) & Exp_mask) >> Exp_shift1) - Bias;
|
|
word0(&rv) &= ~Exp_mask;
|
|
word0(&rv) |= Bias << Exp_shift1;
|
|
for(j = 0; e1 > 0; j++, e1 >>= 1)
|
|
if (e1 & 1)
|
|
dval(&rv) *= tinytens[j];
|
|
}
|
|
}
|
|
#ifdef IBM
|
|
/* e2 is a correction to the (base 2) exponent of the return
|
|
* value, reflecting adjustments above to avoid overflow in the
|
|
* native arithmetic. For native IBM (base 16) arithmetic, we
|
|
* must multiply e2 by 4 to change from base 16 to 2.
|
|
*/
|
|
e2 <<= 2;
|
|
#endif
|
|
rvb = d2b(dval(&rv), &rve, &rvbits); /* rv = rvb * 2^rve */
|
|
rve += e2;
|
|
if ((j = rvbits - nbits) > 0) {
|
|
rshift(rvb, j);
|
|
rvbits = nbits;
|
|
rve += j;
|
|
}
|
|
bb0 = 0; /* trailing zero bits in rvb */
|
|
e2 = rve + rvbits - nbits;
|
|
if (e2 > fpi->emax + 1)
|
|
goto huge;
|
|
rve1 = rve + rvbits - nbits;
|
|
if (e2 < (emin = fpi->emin)) {
|
|
denorm = 1;
|
|
j = rve - emin;
|
|
if (j > 0) {
|
|
rvb = lshift(rvb, j);
|
|
rvbits += j;
|
|
}
|
|
else if (j < 0) {
|
|
rvbits += j;
|
|
if (rvbits <= 0) {
|
|
if (rvbits < -1) {
|
|
ufl:
|
|
rvb->wds = 0;
|
|
rvb->x[0] = 0;
|
|
*exp = emin;
|
|
irv = STRTOG_Underflow | STRTOG_Inexlo;
|
|
goto ret;
|
|
}
|
|
rvb->x[0] = rvb->wds = rvbits = 1;
|
|
}
|
|
else
|
|
rshift(rvb, -j);
|
|
}
|
|
rve = rve1 = emin;
|
|
if (sudden_underflow && e2 + 1 < emin)
|
|
goto ufl;
|
|
}
|
|
|
|
/* Now the hard part -- adjusting rv to the correct value.*/
|
|
|
|
/* Put digits into bd: true value = bd * 10^e */
|
|
|
|
bd0 = s2b(s0, nd0, nd, y, dplen);
|
|
|
|
for(;;) {
|
|
bd = Balloc(bd0->k);
|
|
Bcopy(bd, bd0);
|
|
bb = Balloc(rvb->k);
|
|
Bcopy(bb, rvb);
|
|
bbbits = rvbits - bb0;
|
|
bbe = rve + bb0;
|
|
bs = i2b(1);
|
|
|
|
if (e >= 0) {
|
|
bb2 = bb5 = 0;
|
|
bd2 = bd5 = e;
|
|
}
|
|
else {
|
|
bb2 = bb5 = -e;
|
|
bd2 = bd5 = 0;
|
|
}
|
|
if (bbe >= 0)
|
|
bb2 += bbe;
|
|
else
|
|
bd2 -= bbe;
|
|
bs2 = bb2;
|
|
j = nbits + 1 - bbbits;
|
|
i = bbe + bbbits - nbits;
|
|
if (i < emin) /* denormal */
|
|
j += i - emin;
|
|
bb2 += j;
|
|
bd2 += j;
|
|
i = bb2 < bd2 ? bb2 : bd2;
|
|
if (i > bs2)
|
|
i = bs2;
|
|
if (i > 0) {
|
|
bb2 -= i;
|
|
bd2 -= i;
|
|
bs2 -= i;
|
|
}
|
|
if (bb5 > 0) {
|
|
bs = pow5mult(bs, bb5);
|
|
bb1 = mult(bs, bb);
|
|
Bfree(bb);
|
|
bb = bb1;
|
|
}
|
|
bb2 -= bb0;
|
|
if (bb2 > 0)
|
|
bb = lshift(bb, bb2);
|
|
else if (bb2 < 0)
|
|
rshift(bb, -bb2);
|
|
if (bd5 > 0)
|
|
bd = pow5mult(bd, bd5);
|
|
if (bd2 > 0)
|
|
bd = lshift(bd, bd2);
|
|
if (bs2 > 0)
|
|
bs = lshift(bs, bs2);
|
|
asub = 1;
|
|
inex = STRTOG_Inexhi;
|
|
delta = diff(bb, bd);
|
|
if (delta->wds <= 1 && !delta->x[0])
|
|
break;
|
|
dsign = delta->sign;
|
|
delta->sign = finished = 0;
|
|
L = 0;
|
|
i = cmp(delta, bs);
|
|
if (rd && i <= 0) {
|
|
irv = STRTOG_Normal;
|
|
if ( (finished = dsign ^ (rd&1)) !=0) {
|
|
if (dsign != 0) {
|
|
irv |= STRTOG_Inexhi;
|
|
goto adj1;
|
|
}
|
|
irv |= STRTOG_Inexlo;
|
|
if (rve1 == emin)
|
|
goto adj1;
|
|
for(i = 0, j = nbits; j >= ULbits;
|
|
i++, j -= ULbits) {
|
|
if (rvb->x[i] & ALL_ON)
|
|
goto adj1;
|
|
}
|
|
if (j > 1 && lo0bits(rvb->x + i) < j - 1)
|
|
goto adj1;
|
|
rve = rve1 - 1;
|
|
rvb = set_ones(rvb, rvbits = nbits);
|
|
break;
|
|
}
|
|
irv |= dsign ? STRTOG_Inexlo : STRTOG_Inexhi;
|
|
break;
|
|
}
|
|
if (i < 0) {
|
|
/* Error is less than half an ulp -- check for
|
|
* special case of mantissa a power of two.
|
|
*/
|
|
irv = dsign
|
|
? STRTOG_Normal | STRTOG_Inexlo
|
|
: STRTOG_Normal | STRTOG_Inexhi;
|
|
if (dsign || bbbits > 1 || denorm || rve1 == emin)
|
|
break;
|
|
delta = lshift(delta,1);
|
|
if (cmp(delta, bs) > 0) {
|
|
irv = STRTOG_Normal | STRTOG_Inexlo;
|
|
goto drop_down;
|
|
}
|
|
break;
|
|
}
|
|
if (i == 0) {
|
|
/* exactly half-way between */
|
|
if (dsign) {
|
|
if (denorm && all_on(rvb, rvbits)) {
|
|
/*boundary case -- increment exponent*/
|
|
rvb->wds = 1;
|
|
rvb->x[0] = 1;
|
|
rve = emin + nbits - (rvbits = 1);
|
|
irv = STRTOG_Normal | STRTOG_Inexhi;
|
|
denorm = 0;
|
|
break;
|
|
}
|
|
irv = STRTOG_Normal | STRTOG_Inexlo;
|
|
}
|
|
else if (bbbits == 1) {
|
|
irv = STRTOG_Normal;
|
|
drop_down:
|
|
/* boundary case -- decrement exponent */
|
|
if (rve1 == emin) {
|
|
irv = STRTOG_Normal | STRTOG_Inexhi;
|
|
if (rvb->wds == 1 && rvb->x[0] == 1)
|
|
sudden_underflow = 1;
|
|
break;
|
|
}
|
|
rve -= nbits;
|
|
rvb = set_ones(rvb, rvbits = nbits);
|
|
break;
|
|
}
|
|
else
|
|
irv = STRTOG_Normal | STRTOG_Inexhi;
|
|
if ((bbbits < nbits && !denorm) || !(rvb->x[0] & 1))
|
|
break;
|
|
if (dsign) {
|
|
rvb = increment(rvb);
|
|
j = kmask & (ULbits - (rvbits & kmask));
|
|
if (hi0bits(rvb->x[rvb->wds - 1]) != j)
|
|
rvbits++;
|
|
irv = STRTOG_Normal | STRTOG_Inexhi;
|
|
}
|
|
else {
|
|
if (bbbits == 1)
|
|
goto undfl;
|
|
decrement(rvb);
|
|
irv = STRTOG_Normal | STRTOG_Inexlo;
|
|
}
|
|
break;
|
|
}
|
|
if ((dval(&adj) = ratio(delta, bs)) <= 2.) {
|
|
adj1:
|
|
inex = STRTOG_Inexlo;
|
|
if (dsign) {
|
|
asub = 0;
|
|
inex = STRTOG_Inexhi;
|
|
}
|
|
else if (denorm && bbbits <= 1) {
|
|
undfl:
|
|
rvb->wds = 0;
|
|
rve = emin;
|
|
irv = STRTOG_Underflow | STRTOG_Inexlo;
|
|
break;
|
|
}
|
|
adj0 = dval(&adj) = 1.;
|
|
}
|
|
else {
|
|
adj0 = dval(&adj) *= 0.5;
|
|
if (dsign) {
|
|
asub = 0;
|
|
inex = STRTOG_Inexlo;
|
|
}
|
|
if (dval(&adj) < 2147483647.) {
|
|
L = (Long)adj0;
|
|
adj0 -= L;
|
|
switch(rd) {
|
|
case 0:
|
|
if (adj0 >= .5)
|
|
goto inc_L;
|
|
break;
|
|
case 1:
|
|
if (asub && adj0 > 0.)
|
|
goto inc_L;
|
|
break;
|
|
case 2:
|
|
if (!asub && adj0 > 0.) {
|
|
inc_L:
|
|
L++;
|
|
inex = STRTOG_Inexact - inex;
|
|
}
|
|
}
|
|
dval(&adj) = L;
|
|
}
|
|
}
|
|
y = rve + rvbits;
|
|
|
|
/* adj *= ulp(dval(&rv)); */
|
|
/* if (asub) rv -= adj; else rv += adj; */
|
|
|
|
if (!denorm && rvbits < nbits) {
|
|
rvb = lshift(rvb, j = nbits - rvbits);
|
|
rve -= j;
|
|
rvbits = nbits;
|
|
}
|
|
ab = d2b(dval(&adj), &abe, &abits);
|
|
if (abe < 0)
|
|
rshift(ab, -abe);
|
|
else if (abe > 0)
|
|
ab = lshift(ab, abe);
|
|
rvb0 = rvb;
|
|
if (asub) {
|
|
/* rv -= adj; */
|
|
j = hi0bits(rvb->x[rvb->wds-1]);
|
|
rvb = diff(rvb, ab);
|
|
k = rvb0->wds - 1;
|
|
if (denorm)
|
|
/* do nothing */;
|
|
else if (rvb->wds <= k
|
|
|| hi0bits( rvb->x[k]) >
|
|
hi0bits(rvb0->x[k])) {
|
|
/* unlikely; can only have lost 1 high bit */
|
|
if (rve1 == emin) {
|
|
--rvbits;
|
|
denorm = 1;
|
|
}
|
|
else {
|
|
rvb = lshift(rvb, 1);
|
|
--rve;
|
|
--rve1;
|
|
L = finished = 0;
|
|
}
|
|
}
|
|
}
|
|
else {
|
|
rvb = sum(rvb, ab);
|
|
k = rvb->wds - 1;
|
|
if (k >= rvb0->wds
|
|
|| hi0bits(rvb->x[k]) < hi0bits(rvb0->x[k])) {
|
|
if (denorm) {
|
|
if (++rvbits == nbits)
|
|
denorm = 0;
|
|
}
|
|
else {
|
|
rshift(rvb, 1);
|
|
rve++;
|
|
rve1++;
|
|
L = 0;
|
|
}
|
|
}
|
|
}
|
|
Bfree(ab);
|
|
Bfree(rvb0);
|
|
if (finished)
|
|
break;
|
|
|
|
z = rve + rvbits;
|
|
if (y == z && L) {
|
|
/* Can we stop now? */
|
|
tol = dval(&adj) * 5e-16; /* > max rel error */
|
|
dval(&adj) = adj0 - .5;
|
|
if (dval(&adj) < -tol) {
|
|
if (adj0 > tol) {
|
|
irv |= inex;
|
|
break;
|
|
}
|
|
}
|
|
else if (dval(&adj) > tol && adj0 < 1. - tol) {
|
|
irv |= inex;
|
|
break;
|
|
}
|
|
}
|
|
bb0 = denorm ? 0 : trailz(rvb);
|
|
Bfree(bb);
|
|
Bfree(bd);
|
|
Bfree(bs);
|
|
Bfree(delta);
|
|
}
|
|
if (!denorm && (j = nbits - rvbits)) {
|
|
if (j > 0)
|
|
rvb = lshift(rvb, j);
|
|
else
|
|
rshift(rvb, -j);
|
|
rve -= j;
|
|
}
|
|
*exp = rve;
|
|
Bfree(bb);
|
|
Bfree(bd);
|
|
Bfree(bs);
|
|
Bfree(bd0);
|
|
Bfree(delta);
|
|
if (rve > fpi->emax) {
|
|
switch(fpi->rounding & 3) {
|
|
case FPI_Round_near:
|
|
goto huge;
|
|
case FPI_Round_up:
|
|
if (!sign)
|
|
goto huge;
|
|
break;
|
|
case FPI_Round_down:
|
|
if (sign)
|
|
goto huge;
|
|
}
|
|
/* Round to largest representable magnitude */
|
|
Bfree(rvb);
|
|
rvb = 0;
|
|
irv = STRTOG_Normal | STRTOG_Inexlo;
|
|
*exp = fpi->emax;
|
|
b = bits;
|
|
be = b + ((fpi->nbits + 31) >> 5);
|
|
while(b < be)
|
|
*b++ = -1;
|
|
if ((j = fpi->nbits & 0x1f))
|
|
*--be >>= (32 - j);
|
|
goto ret;
|
|
huge:
|
|
rvb->wds = 0;
|
|
irv = STRTOG_Infinite | STRTOG_Overflow | STRTOG_Inexhi;
|
|
#ifndef NO_ERRNO
|
|
errno = ERANGE;
|
|
#endif
|
|
infnanexp:
|
|
*exp = fpi->emax + 1;
|
|
}
|
|
ret:
|
|
if (denorm) {
|
|
if (sudden_underflow) {
|
|
rvb->wds = 0;
|
|
irv = STRTOG_Underflow | STRTOG_Inexlo;
|
|
#ifndef NO_ERRNO
|
|
errno = ERANGE;
|
|
#endif
|
|
}
|
|
else {
|
|
irv = (irv & ~STRTOG_Retmask) |
|
|
(rvb->wds > 0 ? STRTOG_Denormal : STRTOG_Zero);
|
|
if (irv & STRTOG_Inexact) {
|
|
irv |= STRTOG_Underflow;
|
|
#ifndef NO_ERRNO
|
|
errno = ERANGE;
|
|
#endif
|
|
}
|
|
}
|
|
}
|
|
if (se)
|
|
*se = (char *)s;
|
|
if (sign)
|
|
irv |= STRTOG_Neg;
|
|
if (rvb) {
|
|
copybits(bits, nbits, rvb);
|
|
Bfree(rvb);
|
|
}
|
|
return irv;
|
|
}
|