347 lines
9.0 KiB
C
347 lines
9.0 KiB
C
/* Internal function for converting integers to ASCII.
|
|
Copyright (C) 1994,1995,1996,1999,2000,2002 Free Software Foundation, Inc.
|
|
This file is part of the GNU C Library.
|
|
Contributed by Torbjorn Granlund <tege@matematik.su.se>
|
|
and Ulrich Drepper <drepper@gnu.org>.
|
|
|
|
The GNU C 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 C 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 C Library; if not, write to the Free
|
|
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
|
|
02111-1307 USA. */
|
|
|
|
#include <gmp-mparam.h>
|
|
#include <gmp.h>
|
|
#include <stdlib/gmp-impl.h>
|
|
#include <stdlib/longlong.h>
|
|
|
|
#include "_itowa.h"
|
|
|
|
|
|
/* Canonize environment. For some architectures not all values might
|
|
be defined in the GMP header files. */
|
|
#ifndef UMUL_TIME
|
|
# define UMUL_TIME 1
|
|
#endif
|
|
#ifndef UDIV_TIME
|
|
# define UDIV_TIME 3
|
|
#endif
|
|
|
|
/* Control memory layout. */
|
|
#ifdef PACK
|
|
# undef PACK
|
|
# define PACK __attribute__ ((packed))
|
|
#else
|
|
# define PACK
|
|
#endif
|
|
|
|
|
|
/* Declare local types. */
|
|
struct base_table_t
|
|
{
|
|
#if (UDIV_TIME > 2 * UMUL_TIME)
|
|
mp_limb_t base_multiplier;
|
|
#endif
|
|
char flag;
|
|
char post_shift;
|
|
#if BITS_PER_MP_LIMB == 32
|
|
struct
|
|
{
|
|
char normalization_steps;
|
|
char ndigits;
|
|
mp_limb_t base PACK;
|
|
#if UDIV_TIME > 2 * UMUL_TIME
|
|
mp_limb_t base_ninv PACK;
|
|
#endif
|
|
} big;
|
|
#endif
|
|
};
|
|
|
|
/* To reduce the memory needed we include some fields of the tables
|
|
only conditionally. */
|
|
#if UDIV_TIME > 2 * UMUL_TIME
|
|
# define SEL1(X) X,
|
|
# define SEL2(X) ,X
|
|
#else
|
|
# define SEL1(X)
|
|
# define SEL2(X)
|
|
#endif
|
|
|
|
/* Factor table for the different bases. */
|
|
extern const struct base_table_t _itoa_base_table[] attribute_hidden;
|
|
|
|
/* Lower-case digits. */
|
|
extern const wchar_t _itowa_lower_digits[] attribute_hidden;
|
|
/* Upper-case digits. */
|
|
extern const wchar_t _itowa_upper_digits[] attribute_hidden;
|
|
|
|
|
|
wchar_t *
|
|
_itowa (value, buflim, base, upper_case)
|
|
unsigned long long int value;
|
|
wchar_t *buflim;
|
|
unsigned int base;
|
|
int upper_case;
|
|
{
|
|
const wchar_t *digits = (upper_case
|
|
? _itowa_upper_digits : _itowa_lower_digits);
|
|
wchar_t *bp = buflim;
|
|
const struct base_table_t *brec = &_itoa_base_table[base - 2];
|
|
|
|
switch (base)
|
|
{
|
|
#define RUN_2N(BITS) \
|
|
do \
|
|
{ \
|
|
/* `unsigned long long int' always has 64 bits. */ \
|
|
mp_limb_t work_hi = value >> (64 - BITS_PER_MP_LIMB); \
|
|
\
|
|
if (BITS_PER_MP_LIMB == 32) \
|
|
{ \
|
|
if (work_hi != 0) \
|
|
{ \
|
|
mp_limb_t work_lo; \
|
|
int cnt; \
|
|
\
|
|
work_lo = value & 0xfffffffful; \
|
|
for (cnt = BITS_PER_MP_LIMB / BITS; cnt > 0; --cnt) \
|
|
{ \
|
|
*--bp = digits[work_lo & ((1ul << BITS) - 1)]; \
|
|
work_lo >>= BITS; \
|
|
} \
|
|
if (BITS_PER_MP_LIMB % BITS != 0) \
|
|
{ \
|
|
work_lo \
|
|
|= ((work_hi \
|
|
& ((1 << (BITS - BITS_PER_MP_LIMB%BITS)) \
|
|
- 1)) \
|
|
<< BITS_PER_MP_LIMB % BITS); \
|
|
work_hi >>= BITS - BITS_PER_MP_LIMB % BITS; \
|
|
if (work_hi == 0) \
|
|
work_hi = work_lo; \
|
|
else \
|
|
*--bp = digits[work_lo]; \
|
|
} \
|
|
} \
|
|
else \
|
|
work_hi = value & 0xfffffffful; \
|
|
} \
|
|
do \
|
|
{ \
|
|
*--bp = digits[work_hi & ((1 << BITS) - 1)]; \
|
|
work_hi >>= BITS; \
|
|
} \
|
|
while (work_hi != 0); \
|
|
} \
|
|
while (0)
|
|
case 8:
|
|
RUN_2N (3);
|
|
break;
|
|
|
|
case 16:
|
|
RUN_2N (4);
|
|
break;
|
|
|
|
default:
|
|
{
|
|
#if BITS_PER_MP_LIMB == 64
|
|
mp_limb_t base_multiplier = brec->base_multiplier;
|
|
if (brec->flag)
|
|
while (value != 0)
|
|
{
|
|
mp_limb_t quo, rem, x, dummy;
|
|
|
|
umul_ppmm (x, dummy, value, base_multiplier);
|
|
quo = (x + ((value - x) >> 1)) >> (brec->post_shift - 1);
|
|
rem = value - quo * base;
|
|
*--bp = digits[rem];
|
|
value = quo;
|
|
}
|
|
else
|
|
while (value != 0)
|
|
{
|
|
mp_limb_t quo, rem, x, dummy;
|
|
|
|
umul_ppmm (x, dummy, value, base_multiplier);
|
|
quo = x >> brec->post_shift;
|
|
rem = value - quo * base;
|
|
*--bp = digits[rem];
|
|
value = quo;
|
|
}
|
|
#endif
|
|
#if BITS_PER_MP_LIMB == 32
|
|
mp_limb_t t[3];
|
|
int n;
|
|
|
|
/* First convert x0 to 1-3 words in base s->big.base.
|
|
Optimize for frequent cases of 32 bit numbers. */
|
|
if ((mp_limb_t) (value >> 32) >= 1)
|
|
{
|
|
#if UDIV_TIME > 2 * UMUL_TIME || UDIV_NEEDS_NORMALIZATION
|
|
int big_normalization_steps = brec->big.normalization_steps;
|
|
mp_limb_t big_base_norm
|
|
= brec->big.base << big_normalization_steps;
|
|
#endif
|
|
if ((mp_limb_t) (value >> 32) >= brec->big.base)
|
|
{
|
|
mp_limb_t x1hi, x1lo, r;
|
|
/* If you want to optimize this, take advantage of
|
|
that the quotient in the first udiv_qrnnd will
|
|
always be very small. It might be faster just to
|
|
subtract in a tight loop. */
|
|
|
|
#if UDIV_TIME > 2 * UMUL_TIME
|
|
mp_limb_t x, xh, xl;
|
|
|
|
if (big_normalization_steps == 0)
|
|
xh = 0;
|
|
else
|
|
xh = (mp_limb_t) (value >> (64 - big_normalization_steps));
|
|
xl = (mp_limb_t) (value >> (32 - big_normalization_steps));
|
|
udiv_qrnnd_preinv (x1hi, r, xh, xl, big_base_norm,
|
|
brec->big.base_ninv);
|
|
|
|
xl = ((mp_limb_t) value) << big_normalization_steps;
|
|
udiv_qrnnd_preinv (x1lo, x, r, xl, big_base_norm,
|
|
brec->big.base_ninv);
|
|
t[2] = x >> big_normalization_steps;
|
|
|
|
if (big_normalization_steps == 0)
|
|
xh = x1hi;
|
|
else
|
|
xh = ((x1hi << big_normalization_steps)
|
|
| (x1lo >> (32 - big_normalization_steps)));
|
|
xl = x1lo << big_normalization_steps;
|
|
udiv_qrnnd_preinv (t[0], x, xh, xl, big_base_norm,
|
|
brec->big.base_ninv);
|
|
t[1] = x >> big_normalization_steps;
|
|
#elif UDIV_NEEDS_NORMALIZATION
|
|
mp_limb_t x, xh, xl;
|
|
|
|
if (big_normalization_steps == 0)
|
|
xh = 0;
|
|
else
|
|
xh = (mp_limb_t) (value >> 64 - big_normalization_steps);
|
|
xl = (mp_limb_t) (value >> 32 - big_normalization_steps);
|
|
udiv_qrnnd (x1hi, r, xh, xl, big_base_norm);
|
|
|
|
xl = ((mp_limb_t) value) << big_normalization_steps;
|
|
udiv_qrnnd (x1lo, x, r, xl, big_base_norm);
|
|
t[2] = x >> big_normalization_steps;
|
|
|
|
if (big_normalization_steps == 0)
|
|
xh = x1hi;
|
|
else
|
|
xh = ((x1hi << big_normalization_steps)
|
|
| (x1lo >> 32 - big_normalization_steps));
|
|
xl = x1lo << big_normalization_steps;
|
|
udiv_qrnnd (t[0], x, xh, xl, big_base_norm);
|
|
t[1] = x >> big_normalization_steps;
|
|
#else
|
|
udiv_qrnnd (x1hi, r, 0, (mp_limb_t) (value >> 32),
|
|
brec->big.base);
|
|
udiv_qrnnd (x1lo, t[2], r, (mp_limb_t) value, brec->big.base);
|
|
udiv_qrnnd (t[0], t[1], x1hi, x1lo, brec->big.base);
|
|
#endif
|
|
n = 3;
|
|
}
|
|
else
|
|
{
|
|
#if (UDIV_TIME > 2 * UMUL_TIME)
|
|
mp_limb_t x;
|
|
|
|
value <<= brec->big.normalization_steps;
|
|
udiv_qrnnd_preinv (t[0], x, (mp_limb_t) (value >> 32),
|
|
(mp_limb_t) value, big_base_norm,
|
|
brec->big.base_ninv);
|
|
t[1] = x >> brec->big.normalization_steps;
|
|
#elif UDIV_NEEDS_NORMALIZATION
|
|
mp_limb_t x;
|
|
|
|
value <<= big_normalization_steps;
|
|
udiv_qrnnd (t[0], x, (mp_limb_t) (value >> 32),
|
|
(mp_limb_t) value, big_base_norm);
|
|
t[1] = x >> big_normalization_steps;
|
|
#else
|
|
udiv_qrnnd (t[0], t[1], (mp_limb_t) (value >> 32),
|
|
(mp_limb_t) value, brec->big.base);
|
|
#endif
|
|
n = 2;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
t[0] = value;
|
|
n = 1;
|
|
}
|
|
|
|
/* Convert the 1-3 words in t[], word by word, to ASCII. */
|
|
do
|
|
{
|
|
mp_limb_t ti = t[--n];
|
|
int ndig_for_this_limb = 0;
|
|
|
|
#if UDIV_TIME > 2 * UMUL_TIME
|
|
mp_limb_t base_multiplier = brec->base_multiplier;
|
|
if (brec->flag)
|
|
while (ti != 0)
|
|
{
|
|
mp_limb_t quo, rem, x, dummy;
|
|
|
|
umul_ppmm (x, dummy, ti, base_multiplier);
|
|
quo = (x + ((ti - x) >> 1)) >> (brec->post_shift - 1);
|
|
rem = ti - quo * base;
|
|
*--bp = digits[rem];
|
|
ti = quo;
|
|
++ndig_for_this_limb;
|
|
}
|
|
else
|
|
while (ti != 0)
|
|
{
|
|
mp_limb_t quo, rem, x, dummy;
|
|
|
|
umul_ppmm (x, dummy, ti, base_multiplier);
|
|
quo = x >> brec->post_shift;
|
|
rem = ti - quo * base;
|
|
*--bp = digits[rem];
|
|
ti = quo;
|
|
++ndig_for_this_limb;
|
|
}
|
|
#else
|
|
while (ti != 0)
|
|
{
|
|
mp_limb_t quo, rem;
|
|
|
|
quo = ti / base;
|
|
rem = ti % base;
|
|
*--bp = digits[rem];
|
|
ti = quo;
|
|
++ndig_for_this_limb;
|
|
}
|
|
#endif
|
|
/* If this wasn't the most significant word, pad with zeros. */
|
|
if (n != 0)
|
|
while (ndig_for_this_limb < brec->big.ndigits)
|
|
{
|
|
*--bp = '0';
|
|
++ndig_for_this_limb;
|
|
}
|
|
}
|
|
while (n != 0);
|
|
#endif
|
|
}
|
|
break;
|
|
}
|
|
|
|
return bp;
|
|
}
|