463 lines
10 KiB
C
463 lines
10 KiB
C
/* mpf_set_str (dest, string, base) -- Convert the string STRING
|
|
in base BASE to a float in dest. If BASE is zero, the leading characters
|
|
of STRING is used to figure out the base.
|
|
|
|
Copyright 1993, 1994, 1995, 1996, 1997, 2000, 2001, 2002, 2003, 2005 Free
|
|
Software Foundation, Inc.
|
|
|
|
This file is part of the GNU MP Library.
|
|
|
|
The GNU MP Library is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU Lesser General Public License as published by
|
|
the Free Software Foundation; either version 2.1 of the License, or (at your
|
|
option) any later version.
|
|
|
|
The GNU MP Library is distributed in the hope that it will be useful, but
|
|
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
|
|
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
|
|
License for more details.
|
|
|
|
You should have received a copy of the GNU Lesser General Public License
|
|
along with the GNU MP Library; see the file COPYING.LIB. If not, write to
|
|
the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
|
|
MA 02110-1301, USA. */
|
|
|
|
/*
|
|
This still needs work, as suggested by some FIXME comments.
|
|
1. Don't depend on superfluous mantissa digits.
|
|
2. Allocate temp space more cleverly.
|
|
3. Use mpn_tdiv_qr instead of mpn_lshift+mpn_divrem.
|
|
*/
|
|
|
|
#ifndef _GNU_SOURCE
|
|
#define _GNU_SOURCE /* for DECIMAL_POINT in langinfo.h */
|
|
#endif
|
|
|
|
#include "config.h"
|
|
|
|
#include <stdlib.h>
|
|
#include <string.h>
|
|
#include <ctype.h>
|
|
|
|
#if HAVE_LANGINFO_H
|
|
#include <langinfo.h> /* for nl_langinfo */
|
|
#endif
|
|
|
|
#if HAVE_LOCALE_H
|
|
#include <locale.h> /* for localeconv */
|
|
#endif
|
|
|
|
#include "mpir.h"
|
|
#include "gmp-impl.h"
|
|
#include "longlong.h"
|
|
|
|
static mp_limb_t mpn_intdivrem (mp_ptr qp, mp_size_t qxn,
|
|
mp_ptr np, mp_size_t nn,
|
|
mp_srcptr dp, mp_size_t dn)
|
|
{
|
|
ASSERT (qxn >= 0);
|
|
ASSERT (nn >= dn);
|
|
ASSERT (dn >= 1);
|
|
ASSERT (dp[dn-1] & GMP_NUMB_HIGHBIT);
|
|
ASSERT (! MPN_OVERLAP_P (np, nn, dp, dn));
|
|
ASSERT (! MPN_OVERLAP_P (qp, nn-dn+qxn, np, nn) || qp==np+dn+qxn);
|
|
ASSERT (! MPN_OVERLAP_P (qp, nn-dn+qxn, dp, dn));
|
|
ASSERT_MPN (np, nn);
|
|
ASSERT_MPN (dp, dn);
|
|
|
|
if (dn == 1)
|
|
{
|
|
mp_limb_t ret;
|
|
mp_ptr q2p;
|
|
mp_size_t qn;
|
|
TMP_DECL;
|
|
|
|
TMP_MARK;
|
|
q2p = (mp_ptr) TMP_ALLOC ((nn + qxn) * BYTES_PER_MP_LIMB);
|
|
|
|
np[0] = mpn_divrem_1 (q2p, qxn, np, nn, dp[0]);
|
|
qn = nn + qxn - 1;
|
|
MPN_COPY (qp, q2p, qn);
|
|
ret = q2p[qn];
|
|
|
|
TMP_FREE;
|
|
return ret;
|
|
}
|
|
else if (dn == 2)
|
|
{
|
|
return mpn_divrem_2 (qp, qxn, np, nn, dp);
|
|
}
|
|
else
|
|
{
|
|
mp_ptr rp, q2p;
|
|
mp_limb_t qhl;
|
|
mp_size_t qn;
|
|
TMP_DECL;
|
|
|
|
TMP_MARK;
|
|
if (UNLIKELY (qxn != 0))
|
|
{
|
|
mp_ptr n2p;
|
|
n2p = (mp_ptr) TMP_ALLOC ((nn + qxn) * BYTES_PER_MP_LIMB);
|
|
MPN_ZERO (n2p, qxn);
|
|
MPN_COPY (n2p + qxn, np, nn);
|
|
q2p = (mp_ptr) TMP_ALLOC ((nn - dn + qxn + 1) * BYTES_PER_MP_LIMB);
|
|
rp = (mp_ptr) TMP_ALLOC (dn * BYTES_PER_MP_LIMB);
|
|
mpn_tdiv_qr (q2p, rp, 0L, n2p, nn + qxn, dp, dn);
|
|
MPN_COPY (np, rp, dn);
|
|
qn = nn - dn + qxn;
|
|
MPN_COPY (qp, q2p, qn);
|
|
qhl = q2p[qn];
|
|
}
|
|
else
|
|
{
|
|
q2p = (mp_ptr) TMP_ALLOC ((nn - dn + 1) * BYTES_PER_MP_LIMB);
|
|
rp = (mp_ptr) TMP_ALLOC (dn * BYTES_PER_MP_LIMB);
|
|
mpn_tdiv_qr (q2p, rp, 0L, np, nn, dp, dn);
|
|
MPN_COPY (np, rp, dn); /* overwrite np area with remainder */
|
|
qn = nn - dn;
|
|
MPN_COPY (qp, q2p, qn);
|
|
qhl = q2p[qn];
|
|
}
|
|
TMP_FREE;
|
|
return qhl;
|
|
}
|
|
}
|
|
|
|
|
|
extern const unsigned char __gmp_digit_value_tab[];
|
|
#define digit_value_tab __gmp_digit_value_tab
|
|
|
|
/* Compute base^exp and return the most significant prec limbs in rp[].
|
|
Put the count of omitted low limbs in *ign.
|
|
Return the actual size (which might be less than prec). */
|
|
static mp_size_t
|
|
mpn_pow_1_highpart (mp_ptr rp, mp_size_t *ignp,
|
|
mp_limb_t base, mp_exp_t exp,
|
|
mp_size_t prec, mp_ptr tp)
|
|
{
|
|
mp_size_t ign; /* counts number of ignored low limbs in r */
|
|
mp_size_t off; /* keeps track of offset where value starts */
|
|
mp_ptr passed_rp = rp;
|
|
mp_size_t rn;
|
|
int cnt;
|
|
int i;
|
|
|
|
rp[0] = base;
|
|
rn = 1;
|
|
off = 0;
|
|
ign = 0;
|
|
count_leading_zeros (cnt, exp);
|
|
for (i = GMP_LIMB_BITS - cnt - 2; i >= 0; i--)
|
|
{
|
|
mpn_sqr_n (tp, rp + off, rn);
|
|
rn = 2 * rn;
|
|
rn -= tp[rn - 1] == 0;
|
|
ign <<= 1;
|
|
|
|
off = 0;
|
|
if (rn > prec)
|
|
{
|
|
ign += rn - prec;
|
|
off = rn - prec;
|
|
rn = prec;
|
|
}
|
|
MP_PTR_SWAP (rp, tp);
|
|
|
|
if (((exp >> i) & 1) != 0)
|
|
{
|
|
mp_limb_t cy;
|
|
cy = mpn_mul_1 (rp, rp + off, rn, base);
|
|
rp[rn] = cy;
|
|
rn += cy != 0;
|
|
off = 0;
|
|
}
|
|
}
|
|
|
|
if (rn > prec)
|
|
{
|
|
ign += rn - prec;
|
|
rp += rn - prec;
|
|
rn = prec;
|
|
}
|
|
|
|
MPN_COPY_INCR (passed_rp, rp + off, rn);
|
|
*ignp = ign;
|
|
return rn;
|
|
}
|
|
|
|
int
|
|
mpf_set_str (mpf_ptr x, const char *str, int base)
|
|
{
|
|
size_t str_size;
|
|
char *s, *begs;
|
|
size_t i, j;
|
|
int c;
|
|
int negative;
|
|
char *dotpos = 0;
|
|
const char *expptr;
|
|
int exp_base;
|
|
const char *point = GMP_DECIMAL_POINT;
|
|
size_t pointlen = strlen (point);
|
|
const unsigned char *digit_value;
|
|
TMP_DECL;
|
|
|
|
c = (unsigned char) *str;
|
|
|
|
/* Skip whitespace. */
|
|
while (isspace (c))
|
|
c = (unsigned char) *++str;
|
|
|
|
negative = 0;
|
|
if (c == '-')
|
|
{
|
|
negative = 1;
|
|
c = (unsigned char) *++str;
|
|
}
|
|
|
|
if (base <= 0)
|
|
{
|
|
exp_base = 10;
|
|
base = (base == 0) ? 10 : -base;
|
|
}
|
|
else
|
|
exp_base = base;
|
|
|
|
digit_value = digit_value_tab;
|
|
if (base > 36)
|
|
{
|
|
/* For bases > 36, use the collating sequence
|
|
0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz. */
|
|
digit_value += 224;
|
|
if (base > 62)
|
|
return -1; /* too large base */
|
|
}
|
|
|
|
/* Require at least one digit, possibly after an initial decimal point. */
|
|
if (digit_value[c] >= (base == 0 ? 10 : base))
|
|
{
|
|
/* not a digit, must be a decimal point */
|
|
for (i = 0; i < pointlen; i++)
|
|
if (str[i] != point[i])
|
|
return -1;
|
|
if (digit_value[(unsigned char) str[pointlen]] >= (base == 0 ? 10 : base))
|
|
return -1;
|
|
}
|
|
|
|
|
|
/* Locate exponent part of the input. Look from the right of the string,
|
|
since the exponent is usually a lot shorter than the mantissa. */
|
|
expptr = NULL;
|
|
str_size = strlen (str);
|
|
for (i = str_size - 1; i > 0; i--)
|
|
{
|
|
c = (unsigned char) str[i];
|
|
if (c == '@' || (base <= 10 && (c == 'e' || c == 'E')))
|
|
{
|
|
expptr = str + i + 1;
|
|
str_size = i;
|
|
break;
|
|
}
|
|
}
|
|
|
|
TMP_MARK;
|
|
s = begs = (char *) TMP_ALLOC (str_size + 1);
|
|
|
|
/* Loop through mantissa, converting it from ASCII to raw byte values. */
|
|
for (i = 0; i < str_size; i++)
|
|
{
|
|
c = (unsigned char) *str;
|
|
if (!isspace (c))
|
|
{
|
|
int dig;
|
|
|
|
for (j = 0; j < pointlen; j++)
|
|
if (str[j] != point[j])
|
|
goto not_point;
|
|
if (1)
|
|
{
|
|
if (dotpos != 0)
|
|
{
|
|
/* already saw a decimal point, another is invalid */
|
|
TMP_FREE;
|
|
return -1;
|
|
}
|
|
dotpos = s;
|
|
str += pointlen - 1;
|
|
i += pointlen - 1;
|
|
}
|
|
else
|
|
{
|
|
not_point:
|
|
dig = digit_value[c];
|
|
if (dig >= base)
|
|
{
|
|
TMP_FREE;
|
|
return -1;
|
|
}
|
|
*s++ = dig;
|
|
}
|
|
}
|
|
c = (unsigned char) *++str;
|
|
}
|
|
|
|
str_size = s - begs;
|
|
|
|
{
|
|
long exp_in_base;
|
|
mp_size_t ra, ma, rn, mn;
|
|
int cnt;
|
|
mp_ptr mp, tp, rp;
|
|
mp_exp_t exp_in_limbs;
|
|
mp_size_t prec = PREC(x) + 1;
|
|
int divflag;
|
|
mp_size_t madj, radj;
|
|
|
|
#if 0
|
|
size_t n_chars_needed;
|
|
|
|
/* This breaks things like 0.000...0001. To safely ignore superfluous
|
|
digits, we need to skip over leadng zeros. */
|
|
/* Just consider the relevant leading digits of the mantissa. */
|
|
n_chars_needed = 2 + (size_t)
|
|
(((size_t) prec * GMP_NUMB_BITS) * mp_bases[base].chars_per_bit_exactly);
|
|
if (str_size > n_chars_needed)
|
|
str_size = n_chars_needed;
|
|
#endif
|
|
|
|
ma = (mp_size_t) (str_size / mp_bases[base].chars_per_bit_exactly);
|
|
mp = TMP_ALLOC_LIMBS (ma / GMP_NUMB_BITS + 2);
|
|
mn = mpn_set_str (mp, (unsigned char *) begs, str_size, base);
|
|
|
|
if (mn == 0)
|
|
{
|
|
SIZ(x) = 0;
|
|
EXP(x) = 0;
|
|
TMP_FREE;
|
|
return 0;
|
|
}
|
|
|
|
madj = 0;
|
|
/* Ignore excess limbs in MP,MSIZE. */
|
|
if (mn > prec)
|
|
{
|
|
madj = mn - prec;
|
|
mp += mn - prec;
|
|
mn = prec;
|
|
}
|
|
|
|
exp_in_base = 0;
|
|
if (expptr != 0)
|
|
{ char sgn = '+';
|
|
int digit = 0;
|
|
|
|
if(*expptr == '+' || *expptr == '-')
|
|
sgn = *expptr++;
|
|
|
|
do
|
|
{
|
|
exp_in_base = exp_in_base * exp_base + digit;
|
|
digit = digit_value[*(unsigned char*)expptr++];
|
|
}
|
|
while
|
|
(digit < exp_base);
|
|
|
|
if(exp_in_base == 0)
|
|
{
|
|
TMP_FREE;
|
|
return -1;
|
|
}
|
|
|
|
if(sgn == '-')
|
|
exp_in_base = -exp_in_base;
|
|
}
|
|
|
|
if (dotpos != 0)
|
|
exp_in_base -= s - dotpos;
|
|
divflag = exp_in_base < 0;
|
|
exp_in_base = ABS (exp_in_base);
|
|
|
|
if (exp_in_base == 0)
|
|
{
|
|
MPN_COPY (PTR(x), mp, mn);
|
|
SIZ(x) = negative ? -mn : mn;
|
|
EXP(x) = mn + madj;
|
|
TMP_FREE;
|
|
return 0;
|
|
}
|
|
|
|
ra = 2 * (prec + 1);
|
|
rp = TMP_ALLOC_LIMBS (ra);
|
|
tp = TMP_ALLOC_LIMBS (ra);
|
|
rn = mpn_pow_1_highpart (rp, &radj, (mp_limb_t) base, exp_in_base, prec, tp);
|
|
|
|
if (divflag)
|
|
{
|
|
#if 0
|
|
/* FIXME: Should use mpn_tdiv here. */
|
|
mpn_tdiv_qr (qp, mp, 0L, mp, mn, rp, rn);
|
|
#else
|
|
mp_ptr qp;
|
|
mp_limb_t qlimb;
|
|
if (mn < rn)
|
|
{
|
|
/* Pad out MP,MSIZE for current divrem semantics. */
|
|
mp_ptr tmp = TMP_ALLOC_LIMBS (rn + 1);
|
|
MPN_ZERO (tmp, rn - mn);
|
|
MPN_COPY (tmp + rn - mn, mp, mn);
|
|
mp = tmp;
|
|
madj -= rn - mn;
|
|
mn = rn;
|
|
}
|
|
if ((rp[rn - 1] & GMP_NUMB_HIGHBIT) == 0)
|
|
{
|
|
mp_limb_t cy;
|
|
count_leading_zeros (cnt, rp[rn - 1]);
|
|
cnt -= GMP_NAIL_BITS;
|
|
mpn_lshift (rp, rp, rn, cnt);
|
|
cy = mpn_lshift (mp, mp, mn, cnt);
|
|
if (cy)
|
|
mp[mn++] = cy;
|
|
}
|
|
|
|
qp = TMP_ALLOC_LIMBS (prec + 1);
|
|
qlimb = mpn_intdivrem (qp, prec - (mn - rn), mp, mn, rp, rn);
|
|
tp = qp;
|
|
exp_in_limbs = qlimb + (mn - rn) + (madj - radj);
|
|
rn = prec;
|
|
if (qlimb != 0)
|
|
{
|
|
tp[prec] = qlimb;
|
|
/* Skip the least significant limb not to overrun the destination
|
|
variable. */
|
|
tp++;
|
|
}
|
|
#endif
|
|
}
|
|
else
|
|
{
|
|
tp = TMP_ALLOC_LIMBS (rn + mn);
|
|
if (rn > mn)
|
|
mpn_mul (tp, rp, rn, mp, mn);
|
|
else
|
|
mpn_mul (tp, mp, mn, rp, rn);
|
|
rn += mn;
|
|
rn -= tp[rn - 1] == 0;
|
|
exp_in_limbs = rn + madj + radj;
|
|
|
|
if (rn > prec)
|
|
{
|
|
tp += rn - prec;
|
|
rn = prec;
|
|
exp_in_limbs += 0;
|
|
}
|
|
}
|
|
|
|
MPN_COPY (PTR(x), tp, rn);
|
|
SIZ(x) = negative ? -rn : rn;
|
|
EXP(x) = exp_in_limbs;
|
|
TMP_FREE;
|
|
return 0;
|
|
}
|
|
}
|