xf.li | bdd93d5 | 2023-05-12 07:10:14 -0700 | [diff] [blame^] | 1 | /* Internal function for converting integers to ASCII. |
| 2 | Copyright (C) 1994-2016 Free Software Foundation, Inc. |
| 3 | This file is part of the GNU C Library. |
| 4 | Contributed by Torbjorn Granlund <tege@matematik.su.se> |
| 5 | and Ulrich Drepper <drepper@gnu.org>. |
| 6 | |
| 7 | The GNU C Library is free software; you can redistribute it and/or |
| 8 | modify it under the terms of the GNU Lesser General Public |
| 9 | License as published by the Free Software Foundation; either |
| 10 | version 2.1 of the License, or (at your option) any later version. |
| 11 | |
| 12 | The GNU C Library is distributed in the hope that it will be useful, |
| 13 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 15 | Lesser General Public License for more details. |
| 16 | |
| 17 | You should have received a copy of the GNU Lesser General Public |
| 18 | License along with the GNU C Library; if not, see |
| 19 | <http://www.gnu.org/licenses/>. */ |
| 20 | |
| 21 | #include <gmp-mparam.h> |
| 22 | #include <gmp.h> |
| 23 | #include <limits.h> |
| 24 | #include <stdlib/gmp-impl.h> |
| 25 | #include <stdlib/longlong.h> |
| 26 | |
| 27 | #include <_itowa.h> |
| 28 | |
| 29 | |
| 30 | /* Canonize environment. For some architectures not all values might |
| 31 | be defined in the GMP header files. */ |
| 32 | #ifndef UMUL_TIME |
| 33 | # define UMUL_TIME 1 |
| 34 | #endif |
| 35 | #ifndef UDIV_TIME |
| 36 | # define UDIV_TIME 3 |
| 37 | #endif |
| 38 | |
| 39 | /* Control memory layout. */ |
| 40 | #ifdef PACK |
| 41 | # undef PACK |
| 42 | # define PACK __attribute__ ((packed)) |
| 43 | #else |
| 44 | # define PACK |
| 45 | #endif |
| 46 | |
| 47 | |
| 48 | /* Declare local types. */ |
| 49 | struct base_table_t |
| 50 | { |
| 51 | #if (UDIV_TIME > 2 * UMUL_TIME) |
| 52 | mp_limb_t base_multiplier; |
| 53 | #endif |
| 54 | char flag; |
| 55 | char post_shift; |
| 56 | #if BITS_PER_MP_LIMB == 32 |
| 57 | struct |
| 58 | { |
| 59 | char normalization_steps; |
| 60 | char ndigits; |
| 61 | mp_limb_t base PACK; |
| 62 | #if UDIV_TIME > 2 * UMUL_TIME |
| 63 | mp_limb_t base_ninv PACK; |
| 64 | #endif |
| 65 | } big; |
| 66 | #endif |
| 67 | }; |
| 68 | |
| 69 | /* To reduce the memory needed we include some fields of the tables |
| 70 | only conditionally. */ |
| 71 | #if UDIV_TIME > 2 * UMUL_TIME |
| 72 | # define SEL1(X) X, |
| 73 | # define SEL2(X) ,X |
| 74 | #else |
| 75 | # define SEL1(X) |
| 76 | # define SEL2(X) |
| 77 | #endif |
| 78 | |
| 79 | /* Factor table for the different bases. */ |
| 80 | extern const struct base_table_t _itoa_base_table[] attribute_hidden; |
| 81 | |
| 82 | /* Lower-case digits. */ |
| 83 | extern const wchar_t _itowa_lower_digits[] attribute_hidden; |
| 84 | /* Upper-case digits. */ |
| 85 | extern const wchar_t _itowa_upper_digits[] attribute_hidden; |
| 86 | |
| 87 | |
| 88 | #if _ITOA_NEEDED |
| 89 | wchar_t * |
| 90 | _itowa (unsigned long long int value, wchar_t *buflim, unsigned int base, |
| 91 | int upper_case) |
| 92 | { |
| 93 | const wchar_t *digits = (upper_case |
| 94 | ? _itowa_upper_digits : _itowa_lower_digits); |
| 95 | wchar_t *bp = buflim; |
| 96 | const struct base_table_t *brec = &_itoa_base_table[base - 2]; |
| 97 | |
| 98 | switch (base) |
| 99 | { |
| 100 | # define RUN_2N(BITS) \ |
| 101 | do \ |
| 102 | { \ |
| 103 | /* `unsigned long long int' always has 64 bits. */ \ |
| 104 | mp_limb_t work_hi = value >> (64 - BITS_PER_MP_LIMB); \ |
| 105 | \ |
| 106 | if (BITS_PER_MP_LIMB == 32) \ |
| 107 | { \ |
| 108 | if (work_hi != 0) \ |
| 109 | { \ |
| 110 | mp_limb_t work_lo; \ |
| 111 | int cnt; \ |
| 112 | \ |
| 113 | work_lo = value & 0xfffffffful; \ |
| 114 | for (cnt = BITS_PER_MP_LIMB / BITS; cnt > 0; --cnt) \ |
| 115 | { \ |
| 116 | *--bp = digits[work_lo & ((1ul << BITS) - 1)]; \ |
| 117 | work_lo >>= BITS; \ |
| 118 | } \ |
| 119 | if (BITS_PER_MP_LIMB % BITS != 0) \ |
| 120 | { \ |
| 121 | work_lo \ |
| 122 | |= ((work_hi \ |
| 123 | & ((1 << (BITS - BITS_PER_MP_LIMB%BITS)) \ |
| 124 | - 1)) \ |
| 125 | << BITS_PER_MP_LIMB % BITS); \ |
| 126 | work_hi >>= BITS - BITS_PER_MP_LIMB % BITS; \ |
| 127 | if (work_hi == 0) \ |
| 128 | work_hi = work_lo; \ |
| 129 | else \ |
| 130 | *--bp = digits[work_lo]; \ |
| 131 | } \ |
| 132 | } \ |
| 133 | else \ |
| 134 | work_hi = value & 0xfffffffful; \ |
| 135 | } \ |
| 136 | do \ |
| 137 | { \ |
| 138 | *--bp = digits[work_hi & ((1 << BITS) - 1)]; \ |
| 139 | work_hi >>= BITS; \ |
| 140 | } \ |
| 141 | while (work_hi != 0); \ |
| 142 | } \ |
| 143 | while (0) |
| 144 | case 8: |
| 145 | RUN_2N (3); |
| 146 | break; |
| 147 | |
| 148 | case 16: |
| 149 | RUN_2N (4); |
| 150 | break; |
| 151 | |
| 152 | default: |
| 153 | { |
| 154 | # if BITS_PER_MP_LIMB == 64 |
| 155 | mp_limb_t base_multiplier = brec->base_multiplier; |
| 156 | if (brec->flag) |
| 157 | while (value != 0) |
| 158 | { |
| 159 | mp_limb_t quo, rem, x; |
| 160 | mp_limb_t dummy __attribute__ ((unused)); |
| 161 | |
| 162 | umul_ppmm (x, dummy, value, base_multiplier); |
| 163 | quo = (x + ((value - x) >> 1)) >> (brec->post_shift - 1); |
| 164 | rem = value - quo * base; |
| 165 | *--bp = digits[rem]; |
| 166 | value = quo; |
| 167 | } |
| 168 | else |
| 169 | while (value != 0) |
| 170 | { |
| 171 | mp_limb_t quo, rem, x; |
| 172 | mp_limb_t dummy __attribute__ ((unused)); |
| 173 | |
| 174 | umul_ppmm (x, dummy, value, base_multiplier); |
| 175 | quo = x >> brec->post_shift; |
| 176 | rem = value - quo * base; |
| 177 | *--bp = digits[rem]; |
| 178 | value = quo; |
| 179 | } |
| 180 | # endif |
| 181 | # if BITS_PER_MP_LIMB == 32 |
| 182 | mp_limb_t t[3]; |
| 183 | int n; |
| 184 | |
| 185 | /* First convert x0 to 1-3 words in base s->big.base. |
| 186 | Optimize for frequent cases of 32 bit numbers. */ |
| 187 | if ((mp_limb_t) (value >> 32) >= 1) |
| 188 | { |
| 189 | # if UDIV_TIME > 2 * UMUL_TIME || UDIV_NEEDS_NORMALIZATION |
| 190 | int big_normalization_steps = brec->big.normalization_steps; |
| 191 | mp_limb_t big_base_norm |
| 192 | = brec->big.base << big_normalization_steps; |
| 193 | # endif |
| 194 | if ((mp_limb_t) (value >> 32) >= brec->big.base) |
| 195 | { |
| 196 | mp_limb_t x1hi, x1lo, r; |
| 197 | /* If you want to optimize this, take advantage of |
| 198 | that the quotient in the first udiv_qrnnd will |
| 199 | always be very small. It might be faster just to |
| 200 | subtract in a tight loop. */ |
| 201 | |
| 202 | # if UDIV_TIME > 2 * UMUL_TIME |
| 203 | mp_limb_t x, xh, xl; |
| 204 | |
| 205 | if (big_normalization_steps == 0) |
| 206 | xh = 0; |
| 207 | else |
| 208 | xh = (mp_limb_t) (value >> (64 - big_normalization_steps)); |
| 209 | xl = (mp_limb_t) (value >> (32 - big_normalization_steps)); |
| 210 | udiv_qrnnd_preinv (x1hi, r, xh, xl, big_base_norm, |
| 211 | brec->big.base_ninv); |
| 212 | |
| 213 | xl = ((mp_limb_t) value) << big_normalization_steps; |
| 214 | udiv_qrnnd_preinv (x1lo, x, r, xl, big_base_norm, |
| 215 | brec->big.base_ninv); |
| 216 | t[2] = x >> big_normalization_steps; |
| 217 | |
| 218 | if (big_normalization_steps == 0) |
| 219 | xh = x1hi; |
| 220 | else |
| 221 | xh = ((x1hi << big_normalization_steps) |
| 222 | | (x1lo >> (32 - big_normalization_steps))); |
| 223 | xl = x1lo << big_normalization_steps; |
| 224 | udiv_qrnnd_preinv (t[0], x, xh, xl, big_base_norm, |
| 225 | brec->big.base_ninv); |
| 226 | t[1] = x >> big_normalization_steps; |
| 227 | # elif UDIV_NEEDS_NORMALIZATION |
| 228 | mp_limb_t x, xh, xl; |
| 229 | |
| 230 | if (big_normalization_steps == 0) |
| 231 | xh = 0; |
| 232 | else |
| 233 | xh = (mp_limb_t) (value >> 64 - big_normalization_steps); |
| 234 | xl = (mp_limb_t) (value >> 32 - big_normalization_steps); |
| 235 | udiv_qrnnd (x1hi, r, xh, xl, big_base_norm); |
| 236 | |
| 237 | xl = ((mp_limb_t) value) << big_normalization_steps; |
| 238 | udiv_qrnnd (x1lo, x, r, xl, big_base_norm); |
| 239 | t[2] = x >> big_normalization_steps; |
| 240 | |
| 241 | if (big_normalization_steps == 0) |
| 242 | xh = x1hi; |
| 243 | else |
| 244 | xh = ((x1hi << big_normalization_steps) |
| 245 | | (x1lo >> 32 - big_normalization_steps)); |
| 246 | xl = x1lo << big_normalization_steps; |
| 247 | udiv_qrnnd (t[0], x, xh, xl, big_base_norm); |
| 248 | t[1] = x >> big_normalization_steps; |
| 249 | # else |
| 250 | udiv_qrnnd (x1hi, r, 0, (mp_limb_t) (value >> 32), |
| 251 | brec->big.base); |
| 252 | udiv_qrnnd (x1lo, t[2], r, (mp_limb_t) value, brec->big.base); |
| 253 | udiv_qrnnd (t[0], t[1], x1hi, x1lo, brec->big.base); |
| 254 | # endif |
| 255 | n = 3; |
| 256 | } |
| 257 | else |
| 258 | { |
| 259 | # if UDIV_TIME > 2 * UMUL_TIME |
| 260 | mp_limb_t x; |
| 261 | |
| 262 | value <<= brec->big.normalization_steps; |
| 263 | udiv_qrnnd_preinv (t[0], x, (mp_limb_t) (value >> 32), |
| 264 | (mp_limb_t) value, big_base_norm, |
| 265 | brec->big.base_ninv); |
| 266 | t[1] = x >> brec->big.normalization_steps; |
| 267 | # elif UDIV_NEEDS_NORMALIZATION |
| 268 | mp_limb_t x; |
| 269 | |
| 270 | value <<= big_normalization_steps; |
| 271 | udiv_qrnnd (t[0], x, (mp_limb_t) (value >> 32), |
| 272 | (mp_limb_t) value, big_base_norm); |
| 273 | t[1] = x >> big_normalization_steps; |
| 274 | # else |
| 275 | udiv_qrnnd (t[0], t[1], (mp_limb_t) (value >> 32), |
| 276 | (mp_limb_t) value, brec->big.base); |
| 277 | # endif |
| 278 | n = 2; |
| 279 | } |
| 280 | } |
| 281 | else |
| 282 | { |
| 283 | t[0] = value; |
| 284 | n = 1; |
| 285 | } |
| 286 | |
| 287 | /* Convert the 1-3 words in t[], word by word, to ASCII. */ |
| 288 | do |
| 289 | { |
| 290 | mp_limb_t ti = t[--n]; |
| 291 | int ndig_for_this_limb = 0; |
| 292 | |
| 293 | # if UDIV_TIME > 2 * UMUL_TIME |
| 294 | mp_limb_t base_multiplier = brec->base_multiplier; |
| 295 | if (brec->flag) |
| 296 | while (ti != 0) |
| 297 | { |
| 298 | mp_limb_t quo, rem, x; |
| 299 | mp_limb_t dummy __attribute__ ((unused)); |
| 300 | |
| 301 | umul_ppmm (x, dummy, ti, base_multiplier); |
| 302 | quo = (x + ((ti - x) >> 1)) >> (brec->post_shift - 1); |
| 303 | rem = ti - quo * base; |
| 304 | *--bp = digits[rem]; |
| 305 | ti = quo; |
| 306 | ++ndig_for_this_limb; |
| 307 | } |
| 308 | else |
| 309 | while (ti != 0) |
| 310 | { |
| 311 | mp_limb_t quo, rem, x; |
| 312 | mp_limb_t dummy __attribute__ ((unused)); |
| 313 | |
| 314 | umul_ppmm (x, dummy, ti, base_multiplier); |
| 315 | quo = x >> brec->post_shift; |
| 316 | rem = ti - quo * base; |
| 317 | *--bp = digits[rem]; |
| 318 | ti = quo; |
| 319 | ++ndig_for_this_limb; |
| 320 | } |
| 321 | # else |
| 322 | while (ti != 0) |
| 323 | { |
| 324 | mp_limb_t quo, rem; |
| 325 | |
| 326 | quo = ti / base; |
| 327 | rem = ti % base; |
| 328 | *--bp = digits[rem]; |
| 329 | ti = quo; |
| 330 | ++ndig_for_this_limb; |
| 331 | } |
| 332 | # endif |
| 333 | /* If this wasn't the most significant word, pad with zeros. */ |
| 334 | if (n != 0) |
| 335 | while (ndig_for_this_limb < brec->big.ndigits) |
| 336 | { |
| 337 | *--bp = '0'; |
| 338 | ++ndig_for_this_limb; |
| 339 | } |
| 340 | } |
| 341 | while (n != 0); |
| 342 | # endif |
| 343 | } |
| 344 | break; |
| 345 | } |
| 346 | |
| 347 | return bp; |
| 348 | } |
| 349 | #endif |