348 lines
9.0 KiB
C
348 lines
9.0 KiB
C
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/* Internal function for converting integers to ASCII.
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Copyright (C) 1994-2022 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<https://www.gnu.org/licenses/>. */
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#include <gmp-mparam.h>
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#include <gmp.h>
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#include <limits.h>
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#include <stdlib/gmp-impl.h>
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#include <stdlib/longlong.h>
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#include <_itowa.h>
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/* Canonize environment. For some architectures not all values might
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be defined in the GMP header files. */
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#ifndef UMUL_TIME
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# define UMUL_TIME 1
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#endif
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#ifndef UDIV_TIME
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# define UDIV_TIME 3
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#endif
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/* Control memory layout. */
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#ifdef PACK
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# undef PACK
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# define PACK __attribute__ ((packed))
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#else
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# define PACK
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#endif
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/* Declare local types. */
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struct base_table_t
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{
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#if (UDIV_TIME > 2 * UMUL_TIME)
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mp_limb_t base_multiplier;
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#endif
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char flag;
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char post_shift;
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#if BITS_PER_MP_LIMB == 32
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struct
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{
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char normalization_steps;
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char ndigits;
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mp_limb_t base PACK;
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#if UDIV_TIME > 2 * UMUL_TIME
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mp_limb_t base_ninv PACK;
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#endif
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} big;
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#endif
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};
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/* To reduce the memory needed we include some fields of the tables
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only conditionally. */
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#if UDIV_TIME > 2 * UMUL_TIME
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# define SEL1(X) X,
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# define SEL2(X) ,X
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#else
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# define SEL1(X)
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# define SEL2(X)
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#endif
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/* Factor table for the different bases. */
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extern const struct base_table_t _itoa_base_table[] attribute_hidden;
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/* Lower-case digits. */
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extern const wchar_t _itowa_lower_digits[] attribute_hidden;
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/* Upper-case digits. */
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extern const wchar_t _itowa_upper_digits[] attribute_hidden;
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#if _ITOA_NEEDED
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wchar_t *
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_itowa (unsigned long long int value, wchar_t *buflim, unsigned int base,
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int upper_case)
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{
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const wchar_t *digits = (upper_case
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? _itowa_upper_digits : _itowa_lower_digits);
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wchar_t *bp = buflim;
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const struct base_table_t *brec = &_itoa_base_table[base - 2];
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switch (base)
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{
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# define RUN_2N(BITS) \
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do \
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{ \
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/* `unsigned long long int' always has 64 bits. */ \
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mp_limb_t work_hi = value >> (64 - BITS_PER_MP_LIMB); \
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\
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if (BITS_PER_MP_LIMB == 32) \
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{ \
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if (work_hi != 0) \
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{ \
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mp_limb_t work_lo; \
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int cnt; \
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\
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work_lo = value & 0xfffffffful; \
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for (cnt = BITS_PER_MP_LIMB / BITS; cnt > 0; --cnt) \
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{ \
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*--bp = digits[work_lo & ((1ul << BITS) - 1)]; \
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work_lo >>= BITS; \
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} \
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if (BITS_PER_MP_LIMB % BITS != 0) \
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{ \
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work_lo \
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|= ((work_hi \
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& ((1 << (BITS - BITS_PER_MP_LIMB%BITS)) \
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- 1)) \
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<< BITS_PER_MP_LIMB % BITS); \
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work_hi >>= BITS - BITS_PER_MP_LIMB % BITS; \
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if (work_hi == 0) \
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work_hi = work_lo; \
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else \
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*--bp = digits[work_lo]; \
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} \
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} \
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else \
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work_hi = value & 0xfffffffful; \
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} \
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do \
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{ \
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*--bp = digits[work_hi & ((1 << BITS) - 1)]; \
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work_hi >>= BITS; \
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} \
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while (work_hi != 0); \
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} \
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while (0)
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case 8:
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RUN_2N (3);
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break;
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case 16:
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RUN_2N (4);
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break;
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default:
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{
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# if BITS_PER_MP_LIMB == 64
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mp_limb_t base_multiplier = brec->base_multiplier;
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if (brec->flag)
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while (value != 0)
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{
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mp_limb_t quo, rem, x;
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mp_limb_t dummy __attribute__ ((unused));
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umul_ppmm (x, dummy, value, base_multiplier);
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quo = (x + ((value - x) >> 1)) >> (brec->post_shift - 1);
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rem = value - quo * base;
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*--bp = digits[rem];
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value = quo;
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}
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else
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while (value != 0)
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{
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mp_limb_t quo, rem, x;
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mp_limb_t dummy __attribute__ ((unused));
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umul_ppmm (x, dummy, value, base_multiplier);
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quo = x >> brec->post_shift;
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rem = value - quo * base;
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*--bp = digits[rem];
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value = quo;
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}
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# endif
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# if BITS_PER_MP_LIMB == 32
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mp_limb_t t[3];
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int n;
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/* First convert x0 to 1-3 words in base s->big.base.
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Optimize for frequent cases of 32 bit numbers. */
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if ((mp_limb_t) (value >> 32) >= 1)
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{
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# if UDIV_TIME > 2 * UMUL_TIME || UDIV_NEEDS_NORMALIZATION
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int big_normalization_steps = brec->big.normalization_steps;
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mp_limb_t big_base_norm
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= brec->big.base << big_normalization_steps;
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# endif
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if ((mp_limb_t) (value >> 32) >= brec->big.base)
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{
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mp_limb_t x1hi, x1lo, r;
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/* If you want to optimize this, take advantage of
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that the quotient in the first udiv_qrnnd will
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always be very small. It might be faster just to
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subtract in a tight loop. */
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# if UDIV_TIME > 2 * UMUL_TIME
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mp_limb_t x, xh, xl;
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if (big_normalization_steps == 0)
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xh = 0;
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else
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xh = (mp_limb_t) (value >> (64 - big_normalization_steps));
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xl = (mp_limb_t) (value >> (32 - big_normalization_steps));
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udiv_qrnnd_preinv (x1hi, r, xh, xl, big_base_norm,
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brec->big.base_ninv);
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xl = ((mp_limb_t) value) << big_normalization_steps;
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udiv_qrnnd_preinv (x1lo, x, r, xl, big_base_norm,
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brec->big.base_ninv);
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t[2] = x >> big_normalization_steps;
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if (big_normalization_steps == 0)
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xh = x1hi;
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else
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xh = ((x1hi << big_normalization_steps)
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xl = x1lo << big_normalization_steps;
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udiv_qrnnd_preinv (t[0], x, xh, xl, big_base_norm,
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brec->big.base_ninv);
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t[1] = x >> big_normalization_steps;
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# elif UDIV_NEEDS_NORMALIZATION
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mp_limb_t x, xh, xl;
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if (big_normalization_steps == 0)
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xh = 0;
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else
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xh = (mp_limb_t) (value >> 64 - big_normalization_steps);
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xl = (mp_limb_t) (value >> 32 - big_normalization_steps);
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udiv_qrnnd (x1hi, r, xh, xl, big_base_norm);
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xl = ((mp_limb_t) value) << big_normalization_steps;
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udiv_qrnnd (x1lo, x, r, xl, big_base_norm);
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t[2] = x >> big_normalization_steps;
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if (big_normalization_steps == 0)
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xh = x1hi;
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else
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xh = ((x1hi << big_normalization_steps)
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xl = x1lo << big_normalization_steps;
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udiv_qrnnd (t[0], x, xh, xl, big_base_norm);
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t[1] = x >> big_normalization_steps;
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# else
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udiv_qrnnd (x1hi, r, 0, (mp_limb_t) (value >> 32),
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brec->big.base);
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udiv_qrnnd (x1lo, t[2], r, (mp_limb_t) value, brec->big.base);
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udiv_qrnnd (t[0], t[1], x1hi, x1lo, brec->big.base);
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# endif
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n = 3;
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}
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else
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{
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# if UDIV_TIME > 2 * UMUL_TIME
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mp_limb_t x;
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value <<= brec->big.normalization_steps;
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udiv_qrnnd_preinv (t[0], x, (mp_limb_t) (value >> 32),
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(mp_limb_t) value, big_base_norm,
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brec->big.base_ninv);
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t[1] = x >> brec->big.normalization_steps;
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# elif UDIV_NEEDS_NORMALIZATION
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mp_limb_t x;
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value <<= big_normalization_steps;
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udiv_qrnnd (t[0], x, (mp_limb_t) (value >> 32),
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(mp_limb_t) value, big_base_norm);
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t[1] = x >> big_normalization_steps;
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# else
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udiv_qrnnd (t[0], t[1], (mp_limb_t) (value >> 32),
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(mp_limb_t) value, brec->big.base);
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# endif
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n = 2;
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}
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}
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else
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{
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t[0] = value;
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n = 1;
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}
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/* Convert the 1-3 words in t[], word by word, to ASCII. */
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do
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{
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mp_limb_t ti = t[--n];
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int ndig_for_this_limb = 0;
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# if UDIV_TIME > 2 * UMUL_TIME
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mp_limb_t base_multiplier = brec->base_multiplier;
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if (brec->flag)
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while (ti != 0)
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{
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mp_limb_t quo, rem, x;
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mp_limb_t dummy __attribute__ ((unused));
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umul_ppmm (x, dummy, ti, base_multiplier);
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quo = (x + ((ti - x) >> 1)) >> (brec->post_shift - 1);
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rem = ti - quo * base;
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*--bp = digits[rem];
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ti = quo;
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++ndig_for_this_limb;
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}
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else
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while (ti != 0)
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{
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mp_limb_t quo, rem, x;
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mp_limb_t dummy __attribute__ ((unused));
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umul_ppmm (x, dummy, ti, base_multiplier);
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quo = x >> brec->post_shift;
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rem = ti - quo * base;
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*--bp = digits[rem];
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ti = quo;
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++ndig_for_this_limb;
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}
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# else
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while (ti != 0)
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{
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mp_limb_t quo, rem;
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quo = ti / base;
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rem = ti % base;
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*--bp = digits[rem];
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ti = quo;
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++ndig_for_this_limb;
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}
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# endif
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/* If this wasn't the most significant word, pad with zeros. */
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if (n != 0)
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while (ndig_for_this_limb < brec->big.ndigits)
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{
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*--bp = '0';
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++ndig_for_this_limb;
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}
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}
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while (n != 0);
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# endif
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}
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break;
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}
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return bp;
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}
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#endif
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