/* Internal function for converting integers to ASCII. Copyright (C) 1994, 1995, 1996 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Torbjorn Granlund and Ulrich Drepper . The GNU C Library is free software; you can redistribute it and/or modify it under the terms of the GNU Library General Public License as published by the Free Software Foundation; either version 2 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 Library General Public License for more details. You should have received a copy of the GNU Library General Public License along with the GNU C Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #include #include "../stdlib/gmp.h" #include "../stdlib/gmp-impl.h" #include "../stdlib/longlong.h" #include "_itoa.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 1 #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 BITS_PER_MP_LIMB == 32 # if UDIV_TIME > 2 * UMUL_TIME # define SEL1(X) X, # define SEL2(X) ,X # else # define SEL1(X) # define SEL2(X) # endif #endif /* Local variables. */ static const struct base_table_t base_table[] = { #if BITS_PER_MP_LIMB == 64 /* 2 */ {0ul, 1, 1}, /* 3 */ {0xaaaaaaaaaaaaaaabul, 0, 1}, /* 4 */ {0ul, 1, 2}, /* 5 */ {0xcccccccccccccccdul, 0, 2}, /* 6 */ {0xaaaaaaaaaaaaaaabul, 0, 2}, /* 7 */ {0x2492492492492493ul, 1, 3}, /* 8 */ {0ul, 1, 3}, /* 9 */ {0xe38e38e38e38e38ful, 0, 3}, /* 10 */ {0xcccccccccccccccdul, 0, 3}, /* 11 */ {0x2e8ba2e8ba2e8ba3ul, 0, 1}, /* 12 */ {0xaaaaaaaaaaaaaaabul, 0, 3}, /* 13 */ {0x4ec4ec4ec4ec4ec5ul, 0, 2}, /* 14 */ {0x2492492492492493ul, 1, 4}, /* 15 */ {0x8888888888888889ul, 0, 3}, /* 16 */ {0ul, 1, 4}, /* 17 */ {0xf0f0f0f0f0f0f0f1ul, 0, 4}, /* 18 */ {0xe38e38e38e38e38ful, 0, 4}, /* 19 */ {0xd79435e50d79435ful, 0, 4}, /* 20 */ {0xcccccccccccccccdul, 0, 4}, /* 21 */ {0x8618618618618619ul, 1, 5}, /* 22 */ {0x2e8ba2e8ba2e8ba3ul, 0, 2}, /* 23 */ {0x642c8590b21642c9ul, 1, 5}, /* 24 */ {0xaaaaaaaaaaaaaaabul, 0, 4}, /* 25 */ {0x47ae147ae147ae15ul, 1, 5}, /* 26 */ {0x4ec4ec4ec4ec4ec5ul, 0, 3}, /* 27 */ {0x97b425ed097b425ful, 0, 4}, /* 28 */ {0x2492492492492493ul, 1, 5}, /* 29 */ {0x1a7b9611a7b9611bul, 1, 5}, /* 30 */ {0x8888888888888889ul, 0, 4}, /* 31 */ {0x0842108421084211ul, 1, 5}, /* 32 */ {0ul, 1, 5}, /* 33 */ {0x0f83e0f83e0f83e1ul, 0, 1}, /* 34 */ {0xf0f0f0f0f0f0f0f1ul, 0, 5}, /* 35 */ {0xea0ea0ea0ea0ea0ful, 0, 5}, /* 36 */ {0xe38e38e38e38e38ful, 0, 5} #endif #if BITS_PER_MP_LIMB == 32 /* 2 */ {SEL1(0ul) 1, 1, {0, 31, 0x80000000ul SEL2(0xfffffffful)}}, /* 3 */ {SEL1(0xaaaaaaabul) 0, 1, {0, 20, 0xcfd41b91ul SEL2(0x3b563c24ul)}}, /* 4 */ {SEL1(0ul) 1, 2, {1, 15, 0x40000000ul SEL2(0xfffffffful)}}, /* 5 */ {SEL1(0xcccccccdul) 0, 2, {1, 13, 0x48c27395ul SEL2(0xc25c2684ul)}}, /* 6 */ {SEL1(0xaaaaaaabul) 0, 2, {0, 12, 0x81bf1000ul SEL2(0xf91bd1b6ul)}}, /* 7 */ {SEL1(0x24924925ul) 1, 3, {1, 11, 0x75db9c97ul SEL2(0x1607a2cbul)}}, /* 8 */ {SEL1(0ul) 1, 3, {1, 10, 0x40000000ul SEL2(0xfffffffful)}}, /* 9 */ {SEL1(0x38e38e39ul) 0, 1, {0, 10, 0xcfd41b91ul SEL2(0x3b563c24ul)}}, /* 10 */ {SEL1(0xcccccccdul) 0, 3, {2, 9, 0x3b9aca00ul SEL2(0x12e0be82ul)}}, /* 11 */ {SEL1(0xba2e8ba3ul) 0, 3, {0, 9, 0x8c8b6d2bul SEL2(0xd24cde04ul)}}, /* 12 */ {SEL1(0xaaaaaaabul) 0, 3, {3, 8, 0x19a10000ul SEL2(0x3fa39ab5ul)}}, /* 13 */ {SEL1(0x4ec4ec4ful) 0, 2, {2, 8, 0x309f1021ul SEL2(0x50f8ac5ful)}}, /* 14 */ {SEL1(0x24924925ul) 1, 4, {1, 8, 0x57f6c100ul SEL2(0x74843b1eul)}}, /* 15 */ {SEL1(0x88888889ul) 0, 3, {0, 8, 0x98c29b81ul SEL2(0xad0326c2ul)}}, /* 16 */ {SEL1(0ul) 1, 4, {3, 7, 0x10000000ul SEL2(0xfffffffful)}}, /* 17 */ {SEL1(0xf0f0f0f1ul) 0, 4, {3, 7, 0x18754571ul SEL2(0x4ef0b6bdul)}}, /* 18 */ {SEL1(0x38e38e39ul) 0, 2, {2, 7, 0x247dbc80ul SEL2(0xc0fc48a1ul)}}, /* 19 */ {SEL1(0xaf286bcbul) 1, 5, {2, 7, 0x3547667bul SEL2(0x33838942ul)}}, /* 20 */ {SEL1(0xcccccccdul) 0, 4, {1, 7, 0x4c4b4000ul SEL2(0xad7f29abul)}}, /* 21 */ {SEL1(0x86186187ul) 1, 5, {1, 7, 0x6b5a6e1dul SEL2(0x313c3d15ul)}}, /* 22 */ {SEL1(0xba2e8ba3ul) 0, 4, {0, 7, 0x94ace180ul SEL2(0xb8cca9e0ul)}}, /* 23 */ {SEL1(0xb21642c9ul) 0, 4, {0, 7, 0xcaf18367ul SEL2(0x42ed6de9ul)}}, /* 24 */ {SEL1(0xaaaaaaabul) 0, 4, {4, 6, 0x0b640000ul SEL2(0x67980e0bul)}}, /* 25 */ {SEL1(0x51eb851ful) 0, 3, {4, 6, 0x0e8d4a51ul SEL2(0x19799812ul)}}, /* 26 */ {SEL1(0x4ec4ec4ful) 0, 3, {3, 6, 0x1269ae40ul SEL2(0xbce85396ul)}}, /* 27 */ {SEL1(0x2f684bdbul) 1, 5, {3, 6, 0x17179149ul SEL2(0x62c103a9ul)}}, /* 28 */ {SEL1(0x24924925ul) 1, 5, {3, 6, 0x1cb91000ul SEL2(0x1d353d43ul)}}, /* 29 */ {SEL1(0x8d3dcb09ul) 0, 4, {2, 6, 0x23744899ul SEL2(0xce1deceaul)}}, /* 30 */ {SEL1(0x88888889ul) 0, 4, {2, 6, 0x2b73a840ul SEL2(0x790fc511ul)}}, /* 31 */ {SEL1(0x08421085ul) 1, 5, {2, 6, 0x34e63b41ul SEL2(0x35b865a0ul)}}, /* 32 */ {SEL1(0ul) 1, 5, {1, 6, 0x40000000ul SEL2(0xfffffffful)}}, /* 33 */ {SEL1(0x3e0f83e1ul) 0, 3, {1, 6, 0x4cfa3cc1ul SEL2(0xa9aed1b3ul)}}, /* 34 */ {SEL1(0xf0f0f0f1ul) 0, 5, {1, 6, 0x5c13d840ul SEL2(0x63dfc229ul)}}, /* 35 */ {SEL1(0xd41d41d5ul) 1, 6, {1, 6, 0x6d91b519ul SEL2(0x2b0fee30ul)}}, /* 36 */ {SEL1(0x38e38e39ul) 0, 3, {0, 6, 0x81bf1000ul SEL2(0xf91bd1b6ul)}} #endif }; /* Lower-case digits. */ const char _itoa_lower_digits[] = "0123456789abcdefghijklmnopqrstuvwxyz"; /* Upper-case digits. */ const char _itoa_upper_digits[] = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"; char * _itoa (value, buflim, base, upper_case) unsigned long long int value; char *buflim; unsigned int base; int upper_case; { const char *digits = upper_case ? _itoa_upper_digits : _itoa_lower_digits; char *bp = buflim; const struct base_table_t *brec = &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); \ *--bp = digits[work_lo]; \ work_hi >>= BITS - BITS_PER_MP_LIMB % BITS; \ } \ } \ 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, big_normalization_steps); 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, big_normalization_steps); 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; }