H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 1 | /* float.c floating-point constant support for the Netwide Assembler |
| 2 | * |
| 3 | * The Netwide Assembler is copyright (C) 1996 Simon Tatham and |
| 4 | * Julian Hall. All rights reserved. The software is |
| 5 | * redistributable under the licence given in the file "Licence" |
| 6 | * distributed in the NASM archive. |
| 7 | * |
| 8 | * initial version 13/ix/96 by Simon Tatham |
| 9 | */ |
| 10 | |
H. Peter Anvin | fe50195 | 2007-10-02 21:53:51 -0700 | [diff] [blame] | 11 | #include "compiler.h" |
| 12 | |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 13 | #include <ctype.h> |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 14 | #include <stdio.h> |
| 15 | #include <stdlib.h> |
| 16 | #include <string.h> |
Keith Kanios | b7a8954 | 2007-04-12 02:40:54 +0000 | [diff] [blame] | 17 | #include <inttypes.h> |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 18 | |
| 19 | #include "nasm.h" |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 20 | #include "float.h" |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 21 | |
| 22 | /* |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 23 | * ----------------- |
| 24 | * local variables |
| 25 | * ----------------- |
| 26 | */ |
| 27 | static efunc error; |
| 28 | static bool daz = false; /* denormals as zero */ |
| 29 | static enum float_round rc = FLOAT_RC_NEAR; /* rounding control */ |
| 30 | |
| 31 | /* |
| 32 | * ----------- |
| 33 | * constants |
| 34 | * ----------- |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 35 | */ |
| 36 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 37 | /* 112 bits + 64 bits for accuracy + 16 bits for rounding */ |
| 38 | #define MANT_WORDS 12 |
| 39 | |
| 40 | /* 52 digits fit in 176 bits because 10^53 > 2^176 > 10^52 */ |
| 41 | #define MANT_DIGITS 52 |
| 42 | |
| 43 | /* the format and the argument list depend on MANT_WORDS */ |
| 44 | #define MANT_FMT "%04x%04x_%04x%04x_%04x%04x_%04x%04x_%04x%04x_%04x%04x" |
| 45 | #define MANT_ARG SOME_ARG(mant, 0) |
| 46 | |
| 47 | #define SOME_ARG(a,i) (a)[(i)+0], (a)[(i)+1], (a)[(i)+2], (a)[(i)+3], \ |
| 48 | (a)[(i)+4], (a)[(i)+5], (a)[(i)+6], (a)[(i)+7], (a)[(i)+8], \ |
| 49 | (a)[(i)+9], (a)[(i)+10], (a)[(i)+11] |
| 50 | |
| 51 | /* |
| 52 | * --------------------------------------------------------------------------- |
| 53 | * emit a printf()-like debug message... but only if DEBUG_FLOAT was defined |
| 54 | * --------------------------------------------------------------------------- |
| 55 | */ |
| 56 | |
| 57 | #ifdef DEBUG_FLOAT |
| 58 | #define dprintf(x) printf x |
| 59 | #else /* */ |
| 60 | #define dprintf(x) do { } while (0) |
| 61 | #endif /* */ |
| 62 | |
| 63 | /* |
| 64 | * --------------------------------------------------------------------------- |
| 65 | * multiply |
| 66 | * --------------------------------------------------------------------------- |
| 67 | */ |
| 68 | static int float_multiply(uint16_t * to, uint16_t * from) |
H. Peter Anvin | eba20a7 | 2002-04-30 20:53:55 +0000 | [diff] [blame] | 69 | { |
Keith Kanios | b7a8954 | 2007-04-12 02:40:54 +0000 | [diff] [blame] | 70 | uint32_t temp[MANT_WORDS * 2]; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 71 | int32_t i, j; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 72 | |
H. Peter Anvin | 7065309 | 2007-10-19 14:42:29 -0700 | [diff] [blame] | 73 | /* |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 74 | * guaranteed that top bit of 'from' is set -- so we only have |
| 75 | * to worry about _one_ bit shift to the left |
| 76 | */ |
| 77 | dprintf(("%s=" MANT_FMT "\n", "mul1", SOME_ARG(to, 0))); |
| 78 | dprintf(("%s=" MANT_FMT "\n", "mul2", SOME_ARG(from, 0))); |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 79 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 80 | memset(temp, 0, sizeof temp); |
| 81 | |
| 82 | for (i = 0; i < MANT_WORDS; i++) { |
H. Peter Anvin | e2c8018 | 2005-01-15 22:15:51 +0000 | [diff] [blame] | 83 | for (j = 0; j < MANT_WORDS; j++) { |
Keith Kanios | b7a8954 | 2007-04-12 02:40:54 +0000 | [diff] [blame] | 84 | uint32_t n; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 85 | n = (uint32_t) to[i] * (uint32_t) from[j]; |
H. Peter Anvin | e2c8018 | 2005-01-15 22:15:51 +0000 | [diff] [blame] | 86 | temp[i + j] += n >> 16; |
| 87 | temp[i + j + 1] += n & 0xFFFF; |
| 88 | } |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 89 | } |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 90 | |
H. Peter Anvin | e2c8018 | 2005-01-15 22:15:51 +0000 | [diff] [blame] | 91 | for (i = MANT_WORDS * 2; --i;) { |
| 92 | temp[i - 1] += temp[i] >> 16; |
| 93 | temp[i] &= 0xFFFF; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 94 | } |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 95 | |
| 96 | dprintf(("%s=" MANT_FMT "_" MANT_FMT "\n", "temp", SOME_ARG(temp, 0), |
| 97 | SOME_ARG(temp, MANT_WORDS))); |
| 98 | |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 99 | if (temp[0] & 0x8000) { |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 100 | for (i = 0; i < MANT_WORDS; i++) { |
| 101 | to[i] = temp[i] & 0xFFFF; |
| 102 | } |
| 103 | dprintf(("%s=" MANT_FMT " (%i)\n", "prod", SOME_ARG(to, 0), 0)); |
| 104 | return 0; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 105 | } else { |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 106 | for (i = 0; i < MANT_WORDS; i++) { |
H. Peter Anvin | e2c8018 | 2005-01-15 22:15:51 +0000 | [diff] [blame] | 107 | to[i] = (temp[i] << 1) + !!(temp[i + 1] & 0x8000); |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 108 | } |
| 109 | dprintf(("%s=" MANT_FMT " (%i)\n", "prod", SOME_ARG(to, 0), -1)); |
H. Peter Anvin | e2c8018 | 2005-01-15 22:15:51 +0000 | [diff] [blame] | 110 | return -1; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 111 | } |
| 112 | } |
| 113 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 114 | /* |
| 115 | * --------------------------------------------------------------------------- |
H. Peter Anvin | 2ef4aac | 2007-10-19 13:10:46 -0700 | [diff] [blame] | 116 | * read an exponent; returns INT32_MAX on error |
| 117 | * --------------------------------------------------------------------------- |
| 118 | */ |
H. Peter Anvin | 3514ad0 | 2007-10-19 14:17:51 -0700 | [diff] [blame] | 119 | static int32_t read_exponent(const char *string, int32_t max) |
H. Peter Anvin | 2ef4aac | 2007-10-19 13:10:46 -0700 | [diff] [blame] | 120 | { |
| 121 | int32_t i = 0; |
| 122 | bool neg = false; |
H. Peter Anvin | 7065309 | 2007-10-19 14:42:29 -0700 | [diff] [blame] | 123 | |
H. Peter Anvin | 2ef4aac | 2007-10-19 13:10:46 -0700 | [diff] [blame] | 124 | if (*string == '+') { |
| 125 | string++; |
| 126 | } else if (*string == '-') { |
| 127 | neg = true; |
| 128 | string++; |
| 129 | } |
| 130 | while (*string) { |
| 131 | if (*string >= '0' && *string <= '9') { |
| 132 | i = (i * 10) + (*string - '0'); |
H. Peter Anvin | 7065309 | 2007-10-19 14:42:29 -0700 | [diff] [blame] | 133 | |
H. Peter Anvin | 2ef4aac | 2007-10-19 13:10:46 -0700 | [diff] [blame] | 134 | /* |
| 135 | * To ensure that underflows and overflows are |
| 136 | * handled properly we must avoid wraparounds of |
| 137 | * the signed integer value that is used to hold |
| 138 | * the exponent. Therefore we cap the exponent at |
| 139 | * +/-5000, which is slightly more/less than |
| 140 | * what's required for normal and denormal numbers |
| 141 | * in single, double, and extended precision, but |
| 142 | * sufficient to avoid signed integer wraparound. |
| 143 | */ |
H. Peter Anvin | 3b2ad1b | 2007-10-21 15:32:33 -0700 | [diff] [blame] | 144 | if (i > max) |
| 145 | i = max; |
H. Peter Anvin | 2ef4aac | 2007-10-19 13:10:46 -0700 | [diff] [blame] | 146 | } else if (*string == '_') { |
| 147 | /* do nothing */ |
| 148 | } else { |
| 149 | error(ERR_NONFATAL, |
| 150 | "invalid character in floating-point constant %s: '%c'", |
| 151 | "exponent", *string); |
| 152 | return INT32_MAX; |
| 153 | } |
| 154 | string++; |
| 155 | } |
| 156 | |
| 157 | return neg ? -i : i; |
| 158 | } |
| 159 | |
| 160 | /* |
| 161 | * --------------------------------------------------------------------------- |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 162 | * convert |
| 163 | * --------------------------------------------------------------------------- |
| 164 | */ |
| 165 | static bool ieee_flconvert(const char *string, uint16_t * mant, |
| 166 | int32_t * exponent) |
| 167 | { |
| 168 | char digits[MANT_DIGITS]; |
| 169 | char *p, *q, *r; |
| 170 | uint16_t mult[MANT_WORDS], bit; |
| 171 | uint16_t *m; |
| 172 | int32_t tenpwr, twopwr; |
| 173 | int32_t extratwos; |
| 174 | bool started, seendot, warned; |
| 175 | p = digits; |
| 176 | tenpwr = 0; |
H. Peter Anvin | fab3a6c | 2007-10-16 11:48:07 -0700 | [diff] [blame] | 177 | started = seendot = false; |
| 178 | warned = (pass0 != 1); |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 179 | while (*string && *string != 'E' && *string != 'e') { |
| 180 | if (*string == '.') { |
| 181 | if (!seendot) { |
| 182 | seendot = true; |
| 183 | } else { |
| 184 | error(ERR_NONFATAL, |
| 185 | "too many periods in floating-point constant"); |
| 186 | return false; |
| 187 | } |
| 188 | } else if (*string >= '0' && *string <= '9') { |
| 189 | if (*string == '0' && !started) { |
| 190 | if (seendot) { |
| 191 | tenpwr--; |
| 192 | } |
| 193 | } else { |
| 194 | started = true; |
| 195 | if (p < digits + sizeof(digits)) { |
| 196 | *p++ = *string - '0'; |
| 197 | } else { |
| 198 | if (!warned) { |
H. Peter Anvin | 125c878 | 2007-10-16 11:32:58 -0700 | [diff] [blame] | 199 | error(ERR_WARNING|ERR_WARN_FL_TOOLONG, |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 200 | "floating-point constant significand contains " |
| 201 | "more than %i digits", MANT_DIGITS); |
| 202 | warned = true; |
| 203 | } |
| 204 | } |
| 205 | if (!seendot) { |
| 206 | tenpwr++; |
| 207 | } |
| 208 | } |
| 209 | } else if (*string == '_') { |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 210 | /* do nothing */ |
| 211 | } else { |
| 212 | error(ERR_NONFATAL, |
| 213 | "invalid character in floating-point constant %s: '%c'", |
| 214 | "significand", *string); |
| 215 | return false; |
| 216 | } |
| 217 | string++; |
| 218 | } |
H. Peter Anvin | 7065309 | 2007-10-19 14:42:29 -0700 | [diff] [blame] | 219 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 220 | if (*string) { |
H. Peter Anvin | 2ef4aac | 2007-10-19 13:10:46 -0700 | [diff] [blame] | 221 | int32_t e; |
| 222 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 223 | string++; /* eat the E */ |
H. Peter Anvin | 2ef4aac | 2007-10-19 13:10:46 -0700 | [diff] [blame] | 224 | e = read_exponent(string, 5000); |
| 225 | if (e == INT32_MAX) |
| 226 | return false; |
| 227 | tenpwr += e; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 228 | } |
| 229 | |
| 230 | /* |
| 231 | * At this point, the memory interval [digits,p) contains a |
| 232 | * series of decimal digits zzzzzzz, such that our number X |
| 233 | * satisfies X = 0.zzzzzzz * 10^tenpwr. |
| 234 | */ |
| 235 | q = digits; |
| 236 | dprintf(("X = 0.")); |
| 237 | while (q < p) { |
| 238 | dprintf(("%c", *q + '0')); |
| 239 | q++; |
| 240 | } |
| 241 | dprintf((" * 10^%i\n", tenpwr)); |
| 242 | |
| 243 | /* |
| 244 | * Now convert [digits,p) to our internal representation. |
| 245 | */ |
| 246 | bit = 0x8000; |
| 247 | for (m = mant; m < mant + MANT_WORDS; m++) { |
| 248 | *m = 0; |
| 249 | } |
| 250 | m = mant; |
| 251 | q = digits; |
| 252 | started = false; |
| 253 | twopwr = 0; |
| 254 | while (m < mant + MANT_WORDS) { |
| 255 | uint16_t carry = 0; |
| 256 | while (p > q && !p[-1]) { |
| 257 | p--; |
| 258 | } |
| 259 | if (p <= q) { |
| 260 | break; |
| 261 | } |
| 262 | for (r = p; r-- > q;) { |
| 263 | int32_t i; |
| 264 | i = 2 * *r + carry; |
| 265 | if (i >= 10) { |
| 266 | carry = 1; |
| 267 | i -= 10; |
| 268 | } else { |
| 269 | carry = 0; |
| 270 | } |
| 271 | *r = i; |
| 272 | } |
| 273 | if (carry) { |
| 274 | *m |= bit; |
| 275 | started = true; |
| 276 | } |
| 277 | if (started) { |
| 278 | if (bit == 1) { |
| 279 | bit = 0x8000; |
| 280 | m++; |
| 281 | } else { |
| 282 | bit >>= 1; |
| 283 | } |
| 284 | } else { |
| 285 | twopwr--; |
| 286 | } |
| 287 | } |
| 288 | twopwr += tenpwr; |
| 289 | |
| 290 | /* |
| 291 | * At this point, the 'mant' array contains the first frac- |
| 292 | * tional places of a base-2^16 real number which when mul- |
| 293 | * tiplied by 2^twopwr and 5^tenpwr gives X. |
| 294 | */ |
| 295 | dprintf(("X = " MANT_FMT " * 2^%i * 5^%i\n", MANT_ARG, twopwr, |
| 296 | tenpwr)); |
| 297 | |
| 298 | /* |
| 299 | * Now multiply 'mant' by 5^tenpwr. |
| 300 | */ |
| 301 | if (tenpwr < 0) { /* mult = 5^-1 = 0.2 */ |
| 302 | for (m = mult; m < mult + MANT_WORDS - 1; m++) { |
| 303 | *m = 0xCCCC; |
| 304 | } |
| 305 | mult[MANT_WORDS - 1] = 0xCCCD; |
| 306 | extratwos = -2; |
| 307 | tenpwr = -tenpwr; |
| 308 | |
| 309 | /* |
| 310 | * If tenpwr was 1000...000b, then it becomes 1000...000b. See |
| 311 | * the "ANSI C" comment below for more details on that case. |
| 312 | * |
| 313 | * Because we already truncated tenpwr to +5000...-5000 inside |
| 314 | * the exponent parsing code, this shouldn't happen though. |
| 315 | */ |
| 316 | } else if (tenpwr > 0) { /* mult = 5^+1 = 5.0 */ |
| 317 | mult[0] = 0xA000; |
| 318 | for (m = mult + 1; m < mult + MANT_WORDS; m++) { |
| 319 | *m = 0; |
| 320 | } |
| 321 | extratwos = 3; |
| 322 | } else { |
| 323 | extratwos = 0; |
| 324 | } |
| 325 | while (tenpwr) { |
| 326 | dprintf(("loop=" MANT_FMT " * 2^%i * 5^%i (%i)\n", MANT_ARG, |
| 327 | twopwr, tenpwr, extratwos)); |
| 328 | if (tenpwr & 1) { |
| 329 | dprintf(("mant*mult\n")); |
| 330 | twopwr += extratwos + float_multiply(mant, mult); |
| 331 | } |
| 332 | dprintf(("mult*mult\n")); |
| 333 | extratwos = extratwos * 2 + float_multiply(mult, mult); |
| 334 | tenpwr >>= 1; |
| 335 | |
| 336 | /* |
| 337 | * In ANSI C, the result of right-shifting a signed integer is |
| 338 | * considered implementation-specific. To ensure that the loop |
| 339 | * terminates even if tenpwr was 1000...000b to begin with, we |
| 340 | * manually clear the MSB, in case a 1 was shifted in. |
| 341 | * |
| 342 | * Because we already truncated tenpwr to +5000...-5000 inside |
| 343 | * the exponent parsing code, this shouldn't matter; neverthe- |
| 344 | * less it is the right thing to do here. |
| 345 | */ |
| 346 | tenpwr &= (uint32_t) - 1 >> 1; |
| 347 | } |
| 348 | |
| 349 | /* |
| 350 | * At this point, the 'mant' array contains the first frac- |
| 351 | * tional places of a base-2^16 real number in [0.5,1) that |
| 352 | * when multiplied by 2^twopwr gives X. Or it contains zero |
| 353 | * of course. We are done. |
| 354 | */ |
| 355 | *exponent = twopwr; |
| 356 | return true; |
| 357 | } |
| 358 | |
| 359 | /* |
| 360 | * --------------------------------------------------------------------------- |
| 361 | * round a mantissa off after i words |
| 362 | * --------------------------------------------------------------------------- |
| 363 | */ |
| 364 | |
| 365 | #define ROUND_COLLECT_BITS \ |
| 366 | for (j = i; j < MANT_WORDS; j++) { \ |
| 367 | m = m | mant[j]; \ |
| 368 | } |
| 369 | |
| 370 | #define ROUND_ABS_DOWN \ |
| 371 | for (j = i; j < MANT_WORDS; j++) { \ |
| 372 | mant[j] = 0x0000; \ |
| 373 | } |
| 374 | |
| 375 | #define ROUND_ABS_UP \ |
| 376 | do { \ |
| 377 | ++mant[--i]; \ |
| 378 | mant[i] &= 0xFFFF; \ |
| 379 | } while (i > 0 && !mant[i]); \ |
| 380 | return (!i && !mant[i]); |
| 381 | |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 382 | static bool ieee_round(int sign, uint16_t * mant, int32_t i) |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 383 | { |
| 384 | uint16_t m = 0; |
| 385 | int32_t j; |
| 386 | if ((sign == 0x0000) || (sign == 0x8000)) { |
| 387 | if (rc == FLOAT_RC_NEAR) { |
| 388 | if (mant[i] & 0x8000) { |
| 389 | mant[i] &= 0x7FFF; |
| 390 | ROUND_COLLECT_BITS; |
| 391 | mant[i] |= 0x8000; |
| 392 | if (m) { |
| 393 | ROUND_ABS_UP; |
| 394 | } else { |
| 395 | if (mant[i - 1] & 1) { |
| 396 | ROUND_ABS_UP; |
| 397 | } else { |
| 398 | ROUND_ABS_DOWN; |
| 399 | } |
| 400 | } |
| 401 | } else { |
| 402 | ROUND_ABS_DOWN; |
| 403 | } |
| 404 | } else if (((sign == 0x0000) && (rc == FLOAT_RC_DOWN)) |
| 405 | || ((sign == 0x8000) && (rc == FLOAT_RC_UP))) { |
| 406 | ROUND_COLLECT_BITS; |
| 407 | if (m) { |
| 408 | ROUND_ABS_DOWN; |
| 409 | } |
| 410 | } else if (((sign == 0x0000) && (rc == FLOAT_RC_UP)) |
| 411 | || ((sign == 0x8000) && (rc == FLOAT_RC_DOWN))) { |
| 412 | ROUND_COLLECT_BITS; |
| 413 | if (m) { |
| 414 | ROUND_ABS_UP; |
| 415 | } |
| 416 | } else if (rc == FLOAT_RC_ZERO) { |
| 417 | ROUND_ABS_DOWN; |
| 418 | } else { |
| 419 | error(ERR_PANIC, "float_round() can't handle rc=%i", rc); |
| 420 | } |
| 421 | } else { |
| 422 | error(ERR_PANIC, "float_round() can't handle sign=%i", sign); |
| 423 | } |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 424 | return false; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 425 | } |
| 426 | |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 427 | /* Returns a value >= 16 if not a valid hex digit */ |
| 428 | static unsigned int hexval(char c) |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 429 | { |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 430 | unsigned int v = (unsigned char) c; |
| 431 | |
| 432 | if (v >= '0' && v <= '9') |
| 433 | return v - '0'; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 434 | else |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 435 | return (v|0x20) - 'a' + 10; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 436 | } |
| 437 | |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 438 | /* Handle floating-point numbers with radix 2^bits and binary exponent */ |
| 439 | static bool ieee_flconvert_bin(const char *string, int bits, |
| 440 | uint16_t * mant, int32_t * exponent) |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 441 | { |
| 442 | static const int log2tbl[16] = |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 443 | { -1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3 }; |
| 444 | uint16_t mult[MANT_WORDS + 1], *mp; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 445 | int ms; |
| 446 | int32_t twopwr; |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 447 | bool seendot, seendigit; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 448 | unsigned char c; |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 449 | int radix = 1 << bits; |
| 450 | unsigned int v; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 451 | |
| 452 | twopwr = 0; |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 453 | seendot = seendigit = false; |
H. Peter Anvin | 82f9f63 | 2007-09-24 20:53:48 -0700 | [diff] [blame] | 454 | ms = 0; |
| 455 | mp = NULL; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 456 | |
| 457 | memset(mult, 0, sizeof mult); |
| 458 | |
| 459 | while ((c = *string++) != '\0') { |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 460 | if (c == '.') { |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 461 | if (!seendot) |
H. Peter Anvin | 6867acc | 2007-10-10 14:58:45 -0700 | [diff] [blame] | 462 | seendot = true; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 463 | else { |
| 464 | error(ERR_NONFATAL, |
| 465 | "too many periods in floating-point constant"); |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 466 | return false; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 467 | } |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 468 | } else if ((v = hexval(c)) < (unsigned int)radix) { |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 469 | if (!seendigit && v) { |
| 470 | int l = log2tbl[v]; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 471 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 472 | seendigit = 1; |
| 473 | mp = mult; |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 474 | ms = 15-l; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 475 | |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 476 | twopwr = seendot ? twopwr-bits+l : l+1-bits; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 477 | } |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 478 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 479 | if (seendigit) { |
| 480 | if (ms <= 0) { |
| 481 | *mp |= v >> -ms; |
| 482 | mp++; |
| 483 | if (mp > &mult[MANT_WORDS]) |
| 484 | mp = &mult[MANT_WORDS]; /* Guard slot */ |
| 485 | ms += 16; |
| 486 | } |
| 487 | *mp |= v << ms; |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 488 | ms -= bits; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 489 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 490 | if (!seendot) |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 491 | twopwr += bits; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 492 | } else { |
| 493 | if (seendot) |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 494 | twopwr -= bits; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 495 | } |
| 496 | } else if (c == 'p' || c == 'P') { |
H. Peter Anvin | 2ef4aac | 2007-10-19 13:10:46 -0700 | [diff] [blame] | 497 | int32_t e; |
H. Peter Anvin | 3b2ad1b | 2007-10-21 15:32:33 -0700 | [diff] [blame] | 498 | e = read_exponent(string, 20000); |
H. Peter Anvin | 2ef4aac | 2007-10-19 13:10:46 -0700 | [diff] [blame] | 499 | if (e == INT32_MAX) |
| 500 | return false; |
| 501 | twopwr += e; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 502 | break; |
H. Peter Anvin | 2ef4aac | 2007-10-19 13:10:46 -0700 | [diff] [blame] | 503 | } else if (c == '_') { |
| 504 | /* ignore */ |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 505 | } else { |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 506 | error(ERR_NONFATAL, |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 507 | "floating-point constant: `%c' is invalid character", c); |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 508 | return false; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 509 | } |
| 510 | } |
| 511 | |
| 512 | if (!seendigit) { |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 513 | memset(mant, 0, 2 * MANT_WORDS); /* Zero */ |
| 514 | *exponent = 0; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 515 | } else { |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 516 | memcpy(mant, mult, 2 * MANT_WORDS); |
| 517 | *exponent = twopwr; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 518 | } |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 519 | |
| 520 | return true; |
H. Peter Anvin | fe2177f | 2007-09-18 18:31:26 -0700 | [diff] [blame] | 521 | } |
| 522 | |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 523 | /* |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 524 | * Shift a mantissa to the right by i bits. |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 525 | */ |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 526 | static void ieee_shr(uint16_t * mant, int i) |
H. Peter Anvin | eba20a7 | 2002-04-30 20:53:55 +0000 | [diff] [blame] | 527 | { |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 528 | uint16_t n, m; |
| 529 | int j = 0; |
| 530 | int sr, sl, offs; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 531 | |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 532 | sr = i%16; sl = 16-sr; |
| 533 | offs = i/16; |
| 534 | |
| 535 | if (sr == 0) { |
| 536 | if (offs) |
| 537 | for (j = MANT_WORDS-1; j >= offs; j--) |
| 538 | mant[j] = mant[j-offs]; |
| 539 | } else { |
| 540 | n = mant[MANT_WORDS-1-offs] >> sr; |
| 541 | for (j = MANT_WORDS-1; j > offs; j--) { |
| 542 | m = mant[j-offs-1]; |
| 543 | mant[j] = (m << sl) | n; |
| 544 | n = m >> sr; |
| 545 | } |
| 546 | mant[j--] = n; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 547 | } |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 548 | while (j >= 0) |
| 549 | mant[j--] = 0; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 550 | } |
| 551 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 552 | #if defined(__i386__) || defined(__x86_64__) |
| 553 | #define put(a,b) (*(uint16_t *)(a) = (b)) |
| 554 | #else |
| 555 | #define put(a,b) (((a)[0] = (b)), ((a)[1] = (b) >> 8)) |
| 556 | #endif |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 557 | |
H. Peter Anvin | f48bc6f | 2007-09-18 21:55:56 -0700 | [diff] [blame] | 558 | /* Set a bit, using *bigendian* bit numbering (0 = MSB) */ |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 559 | static void set_bit(uint16_t *mant, int bit) |
H. Peter Anvin | f48bc6f | 2007-09-18 21:55:56 -0700 | [diff] [blame] | 560 | { |
| 561 | mant[bit >> 4] |= 1 << (~bit & 15); |
| 562 | } |
| 563 | |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 564 | /* Test a single bit */ |
H. Peter Anvin | fab3a6c | 2007-10-16 11:48:07 -0700 | [diff] [blame] | 565 | static int test_bit(const uint16_t *mant, int bit) |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 566 | { |
| 567 | return (mant[bit >> 4] >> (~bit & 15)) & 1; |
| 568 | } |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 569 | |
H. Peter Anvin | fab3a6c | 2007-10-16 11:48:07 -0700 | [diff] [blame] | 570 | /* Report if the mantissa value is all zero */ |
| 571 | static bool is_zero(const uint16_t *mant) |
| 572 | { |
| 573 | int i; |
| 574 | |
| 575 | for (i = 0; i < MANT_WORDS; i++) |
| 576 | if (mant[i]) |
| 577 | return false; |
| 578 | |
| 579 | return true; |
| 580 | } |
| 581 | |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 582 | /* Produce standard IEEE formats, with implicit or explicit integer |
| 583 | bit; this makes the following assumptions: |
| 584 | |
| 585 | - the sign bit is the MSB, followed by the exponent, |
| 586 | followed by the integer bit if present. |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 587 | - the sign bit plus exponent fit in 16 bits. |
| 588 | - the exponent bias is 2^(n-1)-1 for an n-bit exponent */ |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 589 | |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 590 | struct ieee_format { |
| 591 | int words; |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 592 | int mantissa; /* Fractional bits in the mantissa */ |
| 593 | int explicit; /* Explicit integer */ |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 594 | int exponent; /* Bits in the exponent */ |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 595 | }; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 596 | |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 597 | /* |
| 598 | * The 16- and 128-bit formats are expected to be in IEEE 754r. |
| 599 | * AMD SSE5 uses the 16-bit format. |
| 600 | * |
| 601 | * The 32- and 64-bit formats are the original IEEE 754 formats. |
| 602 | * |
| 603 | * The 80-bit format is x87-specific, but widely used. |
| 604 | */ |
| 605 | static const struct ieee_format ieee_16 = { 1, 10, 0, 5 }; |
| 606 | static const struct ieee_format ieee_32 = { 2, 23, 0, 8 }; |
| 607 | static const struct ieee_format ieee_64 = { 4, 52, 0, 11 }; |
| 608 | static const struct ieee_format ieee_80 = { 5, 63, 1, 15 }; |
| 609 | static const struct ieee_format ieee_128 = { 8, 112, 0, 15 }; |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 610 | |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 611 | /* Types of values we can generate */ |
| 612 | enum floats { |
| 613 | FL_ZERO, |
| 614 | FL_DENORMAL, |
| 615 | FL_NORMAL, |
| 616 | FL_INFINITY, |
| 617 | FL_QNAN, |
| 618 | FL_SNAN |
| 619 | }; |
| 620 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 621 | static int to_float(const char *str, int sign, uint8_t * result, |
| 622 | const struct ieee_format *fmt) |
H. Peter Anvin | eba20a7 | 2002-04-30 20:53:55 +0000 | [diff] [blame] | 623 | { |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 624 | uint16_t mant[MANT_WORDS], *mp; |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 625 | int32_t exponent = 0; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 626 | int32_t expmax = 1 << (fmt->exponent - 1); |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 627 | uint16_t one_mask = 0x8000 >> ((fmt->exponent+fmt->explicit) % 16); |
| 628 | int one_pos = (fmt->exponent+fmt->explicit)/16; |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 629 | int i; |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 630 | int shift; |
| 631 | enum floats type; |
| 632 | bool ok; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 633 | |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 634 | sign = (sign < 0 ? 0x8000 : 0); |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 635 | |
H. Peter Anvin | f48bc6f | 2007-09-18 21:55:56 -0700 | [diff] [blame] | 636 | if (str[0] == '_') { |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 637 | /* Special tokens */ |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 638 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 639 | switch (str[2]) { |
| 640 | case 'n': /* __nan__ */ |
| 641 | case 'N': |
| 642 | case 'q': /* __qnan__ */ |
| 643 | case 'Q': |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 644 | type = FL_QNAN; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 645 | break; |
| 646 | case 's': /* __snan__ */ |
| 647 | case 'S': |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 648 | type = FL_SNAN; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 649 | break; |
| 650 | case 'i': /* __infinity__ */ |
| 651 | case 'I': |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 652 | type = FL_INFINITY; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 653 | break; |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 654 | default: |
| 655 | error(ERR_NONFATAL, |
| 656 | "internal error: unknown FP constant token `%s'\n", str); |
| 657 | type = FL_QNAN; |
| 658 | break; |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 659 | } |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 660 | } else { |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 661 | if (str[0] == '0') { |
| 662 | switch (str[1]) { |
| 663 | case 'x': case 'X': |
| 664 | case 'h': case 'H': |
| 665 | ok = ieee_flconvert_bin(str+2, 4, mant, &exponent); |
| 666 | break; |
| 667 | case 'o': case 'O': |
| 668 | case 'q': case 'Q': |
| 669 | ok = ieee_flconvert_bin(str+2, 3, mant, &exponent); |
| 670 | break; |
| 671 | case 'b': case 'B': |
| 672 | case 'y': case 'Y': |
| 673 | ok = ieee_flconvert_bin(str+2, 1, mant, &exponent); |
| 674 | break; |
| 675 | case 'd': case 'D': |
| 676 | case 't': case 'T': |
| 677 | ok = ieee_flconvert(str+2, mant, &exponent); |
| 678 | break; |
| 679 | case '0': case '1': case '2': case '3': case '4': |
| 680 | case '5': case '6': case '7': case '8': case '9': |
| 681 | case '\0': |
| 682 | /* Leading zero was just a zero */ |
| 683 | ok = ieee_flconvert(str, mant, &exponent); |
| 684 | break; |
| 685 | default: |
| 686 | error(ERR_NONFATAL, |
| 687 | "floating-point constant: invalid radix `%c'", str[1]); |
| 688 | ok = false; |
| 689 | break; |
| 690 | } |
| 691 | } else if (str[0] == '$') { |
| 692 | ok = ieee_flconvert_bin(str+1, 4, mant, &exponent); |
| 693 | } else { |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 694 | ok = ieee_flconvert(str, mant, &exponent); |
H. Peter Anvin | c65a2f6 | 2007-10-22 17:34:10 -0700 | [diff] [blame^] | 695 | } |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 696 | |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 697 | if (!ok) { |
| 698 | type = FL_QNAN; |
| 699 | } else if (mant[0] & 0x8000) { |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 700 | /* |
| 701 | * Non-zero. |
| 702 | */ |
| 703 | exponent--; |
| 704 | if (exponent >= 2 - expmax && exponent <= expmax) { |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 705 | type = FL_NORMAL; |
H. Peter Anvin | 125c878 | 2007-10-16 11:32:58 -0700 | [diff] [blame] | 706 | } else if (exponent < 2 - expmax && |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 707 | exponent >= 2 - expmax - fmt->mantissa) { |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 708 | type = FL_DENORMAL; |
| 709 | } else if (exponent > 0) { |
H. Peter Anvin | fab3a6c | 2007-10-16 11:48:07 -0700 | [diff] [blame] | 710 | if (pass0 == 1) |
| 711 | error(ERR_WARNING|ERR_WARN_FL_OVERFLOW, |
| 712 | "overflow in floating-point constant"); |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 713 | type = FL_INFINITY; |
| 714 | } else { |
| 715 | /* underflow */ |
H. Peter Anvin | fab3a6c | 2007-10-16 11:48:07 -0700 | [diff] [blame] | 716 | if (pass0 == 1) |
| 717 | error(ERR_WARNING|ERR_WARN_FL_UNDERFLOW, |
| 718 | "underflow in floating-point constant"); |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 719 | type = FL_ZERO; |
| 720 | } |
| 721 | } else { |
| 722 | /* Zero */ |
| 723 | type = FL_ZERO; |
| 724 | } |
| 725 | } |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 726 | |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 727 | switch (type) { |
| 728 | case FL_ZERO: |
H. Peter Anvin | 125c878 | 2007-10-16 11:32:58 -0700 | [diff] [blame] | 729 | zero: |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 730 | memset(mant, 0, sizeof mant); |
| 731 | break; |
| 732 | |
| 733 | case FL_DENORMAL: |
| 734 | { |
| 735 | shift = -(exponent + expmax - 2 - fmt->exponent) |
| 736 | + fmt->explicit; |
| 737 | ieee_shr(mant, shift); |
H. Peter Anvin | 125c878 | 2007-10-16 11:32:58 -0700 | [diff] [blame] | 738 | ieee_round(sign, mant, fmt->words); |
| 739 | if (mant[one_pos] & one_mask) { |
| 740 | /* One's position is set, we rounded up into normal range */ |
| 741 | exponent = 1; |
| 742 | if (!fmt->explicit) |
| 743 | mant[one_pos] &= ~one_mask; /* remove explicit one */ |
| 744 | mant[0] |= exponent << (15 - fmt->exponent); |
H. Peter Anvin | fab3a6c | 2007-10-16 11:48:07 -0700 | [diff] [blame] | 745 | } else { |
| 746 | if (daz || is_zero(mant)) { |
| 747 | /* Flush denormals to zero */ |
| 748 | if (pass0 == 1) |
| 749 | error(ERR_WARNING|ERR_WARN_FL_UNDERFLOW, |
| 750 | "underflow in floating-point constant"); |
| 751 | goto zero; |
| 752 | } else { |
| 753 | if (pass0 == 1) |
| 754 | error(ERR_WARNING|ERR_WARN_FL_DENORM, |
| 755 | "denormal floating-point constant"); |
| 756 | } |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 757 | } |
| 758 | break; |
| 759 | } |
| 760 | |
| 761 | case FL_NORMAL: |
| 762 | exponent += expmax - 1; |
| 763 | ieee_shr(mant, fmt->exponent+fmt->explicit); |
| 764 | ieee_round(sign, mant, fmt->words); |
| 765 | /* did we scale up by one? */ |
| 766 | if (test_bit(mant, fmt->exponent+fmt->explicit-1)) { |
| 767 | ieee_shr(mant, 1); |
| 768 | exponent++; |
H. Peter Anvin | fab3a6c | 2007-10-16 11:48:07 -0700 | [diff] [blame] | 769 | if (exponent >= (expmax << 1)-1) { |
| 770 | if (pass0 == 1) |
| 771 | error(ERR_WARNING|ERR_WARN_FL_OVERFLOW, |
| 772 | "overflow in floating-point constant"); |
H. Peter Anvin | 125c878 | 2007-10-16 11:32:58 -0700 | [diff] [blame] | 773 | type = FL_INFINITY; |
| 774 | goto overflow; |
| 775 | } |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 776 | } |
H. Peter Anvin | 7065309 | 2007-10-19 14:42:29 -0700 | [diff] [blame] | 777 | |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 778 | if (!fmt->explicit) |
| 779 | mant[one_pos] &= ~one_mask; /* remove explicit one */ |
| 780 | mant[0] |= exponent << (15 - fmt->exponent); |
| 781 | break; |
| 782 | |
| 783 | case FL_INFINITY: |
| 784 | case FL_QNAN: |
| 785 | case FL_SNAN: |
H. Peter Anvin | 125c878 | 2007-10-16 11:32:58 -0700 | [diff] [blame] | 786 | overflow: |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 787 | memset(mant, 0, sizeof mant); |
| 788 | mant[0] = ((1 << fmt->exponent)-1) << (15 - fmt->exponent); |
| 789 | if (fmt->explicit) |
| 790 | mant[one_pos] |= one_mask; |
| 791 | if (type == FL_QNAN) |
| 792 | set_bit(mant, fmt->exponent+fmt->explicit+1); |
| 793 | else if (type == FL_SNAN) |
| 794 | set_bit(mant, fmt->exponent+fmt->explicit+fmt->mantissa); |
| 795 | break; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 796 | } |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 797 | |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 798 | mant[0] |= sign; |
H. Peter Anvin | 141d7cf | 2007-09-18 16:39:03 -0700 | [diff] [blame] | 799 | |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 800 | for (mp = &mant[fmt->words], i = 0; i < fmt->words; i++) { |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 801 | uint16_t m = *--mp; |
| 802 | put(result, m); |
| 803 | result += 2; |
H. Peter Anvin | 141d7cf | 2007-09-18 16:39:03 -0700 | [diff] [blame] | 804 | } |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 805 | |
| 806 | return 1; /* success */ |
H. Peter Anvin | 141d7cf | 2007-09-18 16:39:03 -0700 | [diff] [blame] | 807 | } |
| 808 | |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 809 | int float_const(const char *number, int32_t sign, uint8_t * result, |
| 810 | int bytes, efunc err) |
H. Peter Anvin | eba20a7 | 2002-04-30 20:53:55 +0000 | [diff] [blame] | 811 | { |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 812 | error = err; |
| 813 | |
H. Peter Anvin | 141d7cf | 2007-09-18 16:39:03 -0700 | [diff] [blame] | 814 | switch (bytes) { |
| 815 | case 2: |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 816 | return to_float(number, sign, result, &ieee_16); |
H. Peter Anvin | 141d7cf | 2007-09-18 16:39:03 -0700 | [diff] [blame] | 817 | case 4: |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 818 | return to_float(number, sign, result, &ieee_32); |
H. Peter Anvin | 141d7cf | 2007-09-18 16:39:03 -0700 | [diff] [blame] | 819 | case 8: |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 820 | return to_float(number, sign, result, &ieee_64); |
H. Peter Anvin | 141d7cf | 2007-09-18 16:39:03 -0700 | [diff] [blame] | 821 | case 10: |
H. Peter Anvin | 4da5b8c | 2007-10-16 10:32:57 -0700 | [diff] [blame] | 822 | return to_float(number, sign, result, &ieee_80); |
H. Peter Anvin | e31747e | 2007-09-18 17:50:34 -0700 | [diff] [blame] | 823 | case 16: |
H. Peter Anvin | 214f549 | 2007-10-15 19:46:32 -0700 | [diff] [blame] | 824 | return to_float(number, sign, result, &ieee_128); |
H. Peter Anvin | 141d7cf | 2007-09-18 16:39:03 -0700 | [diff] [blame] | 825 | default: |
H. Peter Anvin | e2c8018 | 2005-01-15 22:15:51 +0000 | [diff] [blame] | 826 | error(ERR_PANIC, "strange value %d passed to float_const", bytes); |
| 827 | return 0; |
H. Peter Anvin | ea6e34d | 2002-04-30 20:51:32 +0000 | [diff] [blame] | 828 | } |
| 829 | } |
H. Peter Anvin | f6c9e65 | 2007-10-16 14:40:27 -0700 | [diff] [blame] | 830 | |
| 831 | /* Set floating-point options */ |
| 832 | int float_option(const char *option) |
| 833 | { |
| 834 | if (!nasm_stricmp(option, "daz")) { |
| 835 | daz = true; |
| 836 | return 0; |
| 837 | } else if (!nasm_stricmp(option, "nodaz")) { |
| 838 | daz = false; |
| 839 | return 0; |
| 840 | } else if (!nasm_stricmp(option, "near")) { |
| 841 | rc = FLOAT_RC_NEAR; |
| 842 | return 0; |
| 843 | } else if (!nasm_stricmp(option, "down")) { |
| 844 | rc = FLOAT_RC_DOWN; |
| 845 | return 0; |
| 846 | } else if (!nasm_stricmp(option, "up")) { |
| 847 | rc = FLOAT_RC_UP; |
| 848 | return 0; |
| 849 | } else if (!nasm_stricmp(option, "zero")) { |
| 850 | rc = FLOAT_RC_ZERO; |
| 851 | return 0; |
| 852 | } else if (!nasm_stricmp(option, "default")) { |
| 853 | rc = FLOAT_RC_NEAR; |
| 854 | daz = false; |
| 855 | return 0; |
| 856 | } else { |
| 857 | return -1; /* Unknown option */ |
| 858 | } |
| 859 | } |