atof-generic.c revision 1.11 1 /* atof_generic.c - turn a string of digits into a Flonum
2 Copyright (C) 1987-2026 Free Software Foundation, Inc.
3
4 This file is part of GAS, the GNU Assembler.
5
6 GAS is free software; you can redistribute it and/or modify
7 it under the terms of the GNU General Public License as published by
8 the Free Software Foundation; either version 3, or (at your option)
9 any later version.
10
11 GAS is distributed in the hope that it will be useful, but WITHOUT
12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
13 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
14 License for more details.
15
16 You should have received a copy of the GNU General Public License
17 along with GAS; see the file COPYING. If not, write to the Free
18 Software Foundation, 51 Franklin Street - Fifth Floor, Boston, MA
19 02110-1301, USA. */
20
21 #include "as.h"
22 #include "safe-ctype.h"
23 #include <limits.h>
24
25 #ifdef TRACE
26 static void flonum_print (const FLONUM_TYPE *);
27 #endif
28
29 #define ASSUME_DECIMAL_MARK_IS_DOT
30
31 /***********************************************************************\
32 * *
33 * Given a string of decimal digits , with optional decimal *
34 * mark and optional decimal exponent (place value) of the *
35 * lowest_order decimal digit: produce a floating point *
36 * number. The number is 'generic' floating point: our *
37 * caller will encode it for a specific machine architecture. *
38 * *
39 * Assumptions *
40 * uses base (radix) 2 *
41 * this machine uses 2's complement binary integers *
42 * target flonums use " " " " *
43 * target flonums exponents fit in a long *
44 * *
45 \***********************************************************************/
46
47 /*
48
49 Syntax:
50
51 <flonum> ::= <optional-sign> <decimal-number> <optional-exponent>
52 <optional-sign> ::= '+' | '-' | {empty}
53 <decimal-number> ::= <integer>
54 | <integer> <radix-character>
55 | <integer> <radix-character> <integer>
56 | <radix-character> <integer>
57
58 <optional-exponent> ::= {empty}
59 | <exponent-character> <optional-sign> <integer>
60
61 <integer> ::= <digit> | <digit> <integer>
62 <digit> ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'
63 <exponent-character> ::= {one character from "string_of_decimal_exponent_marks"}
64 <radix-character> ::= {one character from "string_of_decimal_marks"}
65
66 */
67
68 int
69 atof_generic (/* return pointer to just AFTER number we read. */
70 char **address_of_string_pointer,
71 /* At most one per number. */
72 const char *string_of_decimal_marks,
73 const char *string_of_decimal_exponent_marks,
74 FLONUM_TYPE *address_of_generic_floating_point_number)
75 {
76 int return_value = 0; /* 0 means OK. */
77 char *first_digit;
78 unsigned int number_of_digits_before_decimal;
79 unsigned int number_of_digits_after_decimal;
80 unsigned long decimal_exponent;
81 unsigned int number_of_digits_available;
82 char digits_sign_char;
83
84 /*
85 * Scan the input string, abstracting (1)digits (2)decimal mark (3) exponent.
86 * It would be simpler to modify the string, but we don't; just to be nice
87 * to caller.
88 * We need to know how many digits we have, so we can allocate space for
89 * the digits' value.
90 */
91
92 char *p;
93 char c;
94 int seen_significant_digit;
95
96 #ifdef ASSUME_DECIMAL_MARK_IS_DOT
97 gas_assert (string_of_decimal_marks[0] == '.'
98 && string_of_decimal_marks[1] == 0);
99 #define IS_DECIMAL_MARK(c) ((c) == '.')
100 #else
101 #define IS_DECIMAL_MARK(c) (0 != strchr (string_of_decimal_marks, (c)))
102 #endif
103
104 first_digit = *address_of_string_pointer;
105 c = *first_digit;
106
107 if (c == '-' || c == '+')
108 {
109 digits_sign_char = c;
110 first_digit++;
111 }
112 else
113 digits_sign_char = '+';
114
115 switch (first_digit[0])
116 {
117 case 's':
118 case 'S':
119 case 'q':
120 case 'Q':
121 if (!strncasecmp ("nan", first_digit + 1, 3))
122 {
123 address_of_generic_floating_point_number->sign =
124 digits_sign_char == '+' ? TOUPPER (first_digit[0])
125 : TOLOWER (first_digit[0]);
126 address_of_generic_floating_point_number->exponent = 0;
127 address_of_generic_floating_point_number->leader =
128 address_of_generic_floating_point_number->low;
129 *address_of_string_pointer = first_digit + 4;
130 return 0;
131 }
132 break;
133
134 case 'n':
135 case 'N':
136 if (!strncasecmp ("nan", first_digit, 3))
137 {
138 address_of_generic_floating_point_number->sign =
139 digits_sign_char == '+' ? 0 : 'q';
140 address_of_generic_floating_point_number->exponent = 0;
141 address_of_generic_floating_point_number->leader =
142 address_of_generic_floating_point_number->low;
143 *address_of_string_pointer = first_digit + 3;
144 return 0;
145 }
146 break;
147
148 case 'i':
149 case 'I':
150 if (!strncasecmp ("inf", first_digit, 3))
151 {
152 address_of_generic_floating_point_number->sign =
153 digits_sign_char == '+' ? 'P' : 'N';
154 address_of_generic_floating_point_number->exponent = 0;
155 address_of_generic_floating_point_number->leader =
156 address_of_generic_floating_point_number->low;
157
158 first_digit += 3;
159 if (!strncasecmp ("inity", first_digit, 5))
160 first_digit += 5;
161
162 *address_of_string_pointer = first_digit;
163
164 return 0;
165 }
166 break;
167 }
168
169 number_of_digits_before_decimal = 0;
170 number_of_digits_after_decimal = 0;
171 decimal_exponent = 0;
172 seen_significant_digit = 0;
173 for (p = first_digit;
174 (((c = *p) != '\0')
175 && (!c || !IS_DECIMAL_MARK (c))
176 && (!c || !strchr (string_of_decimal_exponent_marks, c)));
177 p++)
178 {
179 if (ISDIGIT (c))
180 {
181 if (seen_significant_digit || c > '0')
182 {
183 ++number_of_digits_before_decimal;
184 seen_significant_digit = 1;
185 }
186 else
187 {
188 first_digit++;
189 }
190 }
191 else
192 {
193 break; /* p -> char after pre-decimal digits. */
194 }
195 } /* For each digit before decimal mark. */
196
197 #ifndef OLD_FLOAT_READS
198 /* Ignore trailing 0's after the decimal point. The original code here
199 (ifdef'd out) does not do this, and numbers like
200 4.29496729600000000000e+09 (2**31)
201 come out inexact for some reason related to length of the digit
202 string. */
203
204 /* The case number_of_digits_before_decimal = 0 is handled for
205 deleting zeros after decimal. In this case the decimal mark and
206 the first zero digits after decimal mark are skipped. */
207 seen_significant_digit = 0;
208 unsigned long subtract_decimal_exponent = 0;
209
210 if (c && IS_DECIMAL_MARK (c))
211 {
212 unsigned int zeros = 0; /* Length of current string of zeros. */
213
214 if (number_of_digits_before_decimal == 0)
215 /* Skip decimal mark. */
216 first_digit++;
217
218 for (p++; (c = *p) && ISDIGIT (c); p++)
219 {
220 if (c == '0')
221 {
222 if (number_of_digits_before_decimal == 0
223 && !seen_significant_digit)
224 {
225 /* Skip '0' and the decimal mark. */
226 first_digit++;
227 subtract_decimal_exponent--;
228 }
229 else
230 zeros++;
231 }
232 else
233 {
234 seen_significant_digit = 1;
235 number_of_digits_after_decimal += 1 + zeros;
236 zeros = 0;
237 }
238 }
239 }
240 #else
241 if (c && IS_DECIMAL_MARK (c))
242 {
243 for (p++;
244 (((c = *p) != '\0')
245 && (!c || !strchr (string_of_decimal_exponent_marks, c)));
246 p++)
247 {
248 if (ISDIGIT (c))
249 {
250 /* This may be retracted below. */
251 number_of_digits_after_decimal++;
252
253 if ( /* seen_significant_digit || */ c > '0')
254 {
255 seen_significant_digit = true;
256 }
257 }
258 else
259 {
260 if (!seen_significant_digit)
261 {
262 number_of_digits_after_decimal = 0;
263 }
264 break;
265 }
266 } /* For each digit after decimal mark. */
267 }
268
269 while (number_of_digits_after_decimal
270 && first_digit[number_of_digits_before_decimal
271 + number_of_digits_after_decimal] == '0')
272 --number_of_digits_after_decimal;
273 #endif
274
275 if (flag_m68k_mri)
276 {
277 while (c == '_')
278 c = *++p;
279 }
280 if (c && strchr (string_of_decimal_exponent_marks, c))
281 {
282 char digits_exponent_sign_char;
283
284 c = *++p;
285 if (flag_m68k_mri)
286 {
287 while (c == '_')
288 c = *++p;
289 }
290 if (c && strchr ("+-", c))
291 {
292 digits_exponent_sign_char = c;
293 c = *++p;
294 }
295 else
296 {
297 digits_exponent_sign_char = '+';
298 }
299
300 for (; (c); c = *++p)
301 {
302 if (ISDIGIT (c))
303 {
304 if (decimal_exponent > LONG_MAX / 10
305 || (decimal_exponent == LONG_MAX / 10
306 && c > '0' + (LONG_MAX - LONG_MAX / 10 * 10)))
307 return_value = ERROR_EXPONENT_OVERFLOW;
308 decimal_exponent = decimal_exponent * 10 + c - '0';
309 }
310 else
311 {
312 break;
313 }
314 }
315
316 if (digits_exponent_sign_char == '-')
317 {
318 decimal_exponent = -decimal_exponent;
319 }
320 }
321
322 #ifndef OLD_FLOAT_READS
323 /* Subtract_decimal_exponent != 0 when number_of_digits_before_decimal = 0
324 and first digit after decimal is '0'. */
325 decimal_exponent += subtract_decimal_exponent;
326 #endif
327
328 *address_of_string_pointer = p;
329
330 number_of_digits_available =
331 number_of_digits_before_decimal + number_of_digits_after_decimal;
332 if (number_of_digits_available == 0)
333 {
334 address_of_generic_floating_point_number->exponent = 0; /* Not strictly necessary */
335 address_of_generic_floating_point_number->leader
336 = -1 + address_of_generic_floating_point_number->low;
337 address_of_generic_floating_point_number->sign = digits_sign_char;
338 /* We have just concocted (+/-)0.0E0 */
339
340 }
341 else
342 {
343 int count; /* Number of useful digits left to scan. */
344
345 LITTLENUM_TYPE *temporary_binary_low = NULL;
346 LITTLENUM_TYPE *power_binary_low = NULL;
347 LITTLENUM_TYPE *digits_binary_low;
348 unsigned int precision;
349 unsigned int maximum_useful_digits;
350 unsigned int number_of_digits_to_use;
351 unsigned int more_than_enough_bits_for_digits;
352 unsigned int more_than_enough_littlenums_for_digits;
353 unsigned int size_of_digits_in_littlenums;
354 FLONUM_TYPE power_of_10_flonum;
355 FLONUM_TYPE digits_flonum;
356
357 precision = (address_of_generic_floating_point_number->high
358 - address_of_generic_floating_point_number->low
359 + 1); /* Number of destination littlenums. */
360
361 /* precision includes two littlenums worth of guard bits,
362 so this gives us 10 decimal guard digits here. */
363 maximum_useful_digits = (precision
364 * LITTLENUM_NUMBER_OF_BITS
365 * 1000000 / 3321928
366 + 1); /* round up. */
367
368 if (number_of_digits_available > maximum_useful_digits)
369 {
370 number_of_digits_to_use = maximum_useful_digits;
371 }
372 else
373 {
374 number_of_digits_to_use = number_of_digits_available;
375 }
376
377 decimal_exponent += number_of_digits_before_decimal;
378 decimal_exponent -= number_of_digits_to_use;
379
380 more_than_enough_bits_for_digits
381 = (number_of_digits_to_use * 3321928 / 1000000 + 1);
382
383 more_than_enough_littlenums_for_digits
384 = (more_than_enough_bits_for_digits
385 / LITTLENUM_NUMBER_OF_BITS)
386 + 2;
387
388 /* Compute (digits) part. In "12.34E56" this is the "1234" part.
389 Arithmetic is exact here. If no digits are supplied then this
390 part is a 0 valued binary integer. Allocate room to build up
391 the binary number as littlenums. We want this memory to
392 disappear when we leave this function. Assume no alignment
393 problems => (room for n objects) == n * (room for 1
394 object). */
395
396 size_of_digits_in_littlenums = more_than_enough_littlenums_for_digits;
397
398 digits_binary_low = xcalloc (size_of_digits_in_littlenums,
399 sizeof (LITTLENUM_TYPE));
400
401 /* Digits_binary_low[] is allocated and zeroed. */
402
403 /*
404 * Parse the decimal digits as if * digits_low was in the units position.
405 * Emit a binary number into digits_binary_low[].
406 *
407 * Use a large-precision version of:
408 * (((1st-digit) * 10 + 2nd-digit) * 10 + 3rd-digit ...) * 10 + last-digit
409 */
410
411 for (p = first_digit, count = number_of_digits_to_use; count; p++, --count)
412 {
413 c = *p;
414 if (ISDIGIT (c))
415 {
416 /*
417 * Multiply by 10. Assume can never overflow.
418 * Add this digit to digits_binary_low[].
419 */
420
421 long carry;
422 LITTLENUM_TYPE *littlenum_pointer;
423 LITTLENUM_TYPE *littlenum_limit;
424
425 littlenum_limit = digits_binary_low
426 + more_than_enough_littlenums_for_digits
427 - 1;
428
429 carry = c - '0'; /* char -> binary */
430
431 for (littlenum_pointer = digits_binary_low;
432 littlenum_pointer <= littlenum_limit;
433 littlenum_pointer++)
434 {
435 long work;
436
437 work = carry + 10 * (long) (*littlenum_pointer);
438 *littlenum_pointer = work & LITTLENUM_MASK;
439 carry = work >> LITTLENUM_NUMBER_OF_BITS;
440 }
441
442 if (carry != 0)
443 {
444 /*
445 * We have a GROSS internal error.
446 * This should never happen.
447 */
448 as_fatal (_("failed sanity check"));
449 }
450 }
451 else
452 {
453 ++count; /* '.' doesn't alter digits used count. */
454 }
455 }
456
457 /*
458 * Digits_binary_low[] properly encodes the value of the digits.
459 * Forget about any high-order littlenums that are 0.
460 */
461 while (digits_binary_low[size_of_digits_in_littlenums - 1] == 0
462 && size_of_digits_in_littlenums >= 2)
463 size_of_digits_in_littlenums--;
464
465 digits_flonum.low = digits_binary_low;
466 digits_flonum.high = digits_binary_low + size_of_digits_in_littlenums - 1;
467 digits_flonum.leader = digits_flonum.high;
468 digits_flonum.exponent = 0;
469 /*
470 * The value of digits_flonum . sign should not be important.
471 * We have already decided the output's sign.
472 * We trust that the sign won't influence the other parts of the number!
473 * So we give it a value for these reasons:
474 * (1) courtesy to humans reading/debugging
475 * these numbers so they don't get excited about strange values
476 * (2) in future there may be more meaning attached to sign,
477 * and what was
478 * harmless noise may become disruptive, ill-conditioned (or worse)
479 * input.
480 */
481 digits_flonum.sign = '+';
482
483 {
484 /*
485 * Compute the mantissa (& exponent) of the power of 10.
486 * If successful, then multiply the power of 10 by the digits
487 * giving return_binary_mantissa and return_binary_exponent.
488 */
489
490 int decimal_exponent_is_negative;
491 /* This refers to the "-56" in "12.34E-56". */
492 /* FALSE: decimal_exponent is positive (or 0) */
493 /* TRUE: decimal_exponent is negative */
494 FLONUM_TYPE temporary_flonum;
495 unsigned int size_of_power_in_littlenums;
496 unsigned int size_of_power_in_chars;
497
498 size_of_power_in_littlenums = precision;
499 /* Precision has a built-in fudge factor so we get a few guard bits. */
500
501 decimal_exponent_is_negative = (long) decimal_exponent < 0;
502 if (decimal_exponent_is_negative)
503 {
504 decimal_exponent = -decimal_exponent;
505 }
506
507 /* From now on: the decimal exponent is > 0. Its sign is separate. */
508
509 size_of_power_in_chars = (size_of_power_in_littlenums
510 * sizeof (LITTLENUM_TYPE)) + 2;
511
512 power_binary_low = xmalloc (size_of_power_in_chars);
513 temporary_binary_low = xmalloc (size_of_power_in_chars);
514
515 memset (power_binary_low, '\0', size_of_power_in_chars);
516 *power_binary_low = 1;
517 power_of_10_flonum.exponent = 0;
518 power_of_10_flonum.low = power_binary_low;
519 power_of_10_flonum.leader = power_binary_low;
520 power_of_10_flonum.high = power_binary_low + size_of_power_in_littlenums - 1;
521 power_of_10_flonum.sign = '+';
522 temporary_flonum.low = temporary_binary_low;
523 temporary_flonum.high = temporary_binary_low + size_of_power_in_littlenums - 1;
524 /*
525 * (power) == 1.
526 * Space for temporary_flonum allocated.
527 */
528
529 /*
530 * ...
531 *
532 * WHILE more bits
533 * DO find next bit (with place value)
534 * multiply into power mantissa
535 * OD
536 */
537 {
538 int place_number_limit;
539 /* Any 10^(2^n) whose "n" exceeds this */
540 /* value will fall off the end of */
541 /* flonum_XXXX_powers_of_ten[]. */
542 int place_number;
543 const FLONUM_TYPE *multiplicand; /* -> 10^(2^n) */
544
545 place_number_limit = table_size_of_flonum_powers_of_ten;
546
547 multiplicand = (decimal_exponent_is_negative
548 ? flonum_negative_powers_of_ten
549 : flonum_positive_powers_of_ten);
550
551 for (place_number = 1;/* Place value of this bit of exponent. */
552 decimal_exponent;/* Quit when no more 1 bits in exponent. */
553 decimal_exponent >>= 1, place_number++)
554 {
555 if (decimal_exponent & 1)
556 {
557 if (place_number > place_number_limit)
558 {
559 /* The decimal exponent has a magnitude so great
560 that our tables can't help us fragment it.
561 Although this routine is in error because it
562 can't imagine a number that big, signal an
563 error as if it is the user's fault for
564 presenting such a big number. */
565 return_value = ERROR_EXPONENT_OVERFLOW;
566 /* quit out of loop gracefully */
567 decimal_exponent = 0;
568 }
569 else
570 {
571 #ifdef TRACE
572 printf ("before multiply, place_number = %d., power_of_10_flonum:\n",
573 place_number);
574
575 flonum_print (&power_of_10_flonum);
576 (void) putchar ('\n');
577 #endif
578 #ifdef TRACE
579 printf ("multiplier:\n");
580 flonum_print (multiplicand + place_number);
581 (void) putchar ('\n');
582 #endif
583 flonum_multip (multiplicand + place_number,
584 &power_of_10_flonum, &temporary_flonum);
585 #ifdef TRACE
586 printf ("after multiply:\n");
587 flonum_print (&temporary_flonum);
588 (void) putchar ('\n');
589 #endif
590 flonum_copy (&temporary_flonum, &power_of_10_flonum);
591 #ifdef TRACE
592 printf ("after copy:\n");
593 flonum_print (&power_of_10_flonum);
594 (void) putchar ('\n');
595 #endif
596 } /* If this bit of decimal_exponent was computable.*/
597 } /* If this bit of decimal_exponent was set. */
598 } /* For each bit of binary representation of exponent */
599 #ifdef TRACE
600 printf ("after computing power_of_10_flonum:\n");
601 flonum_print (&power_of_10_flonum);
602 (void) putchar ('\n');
603 #endif
604 }
605 }
606
607 /*
608 * power_of_10_flonum is power of ten in binary (mantissa) , (exponent).
609 * It may be the number 1, in which case we don't NEED to multiply.
610 *
611 * Multiply (decimal digits) by power_of_10_flonum.
612 */
613
614 flonum_multip (&power_of_10_flonum, &digits_flonum, address_of_generic_floating_point_number);
615 /* Assert sign of the number we made is '+'. */
616 address_of_generic_floating_point_number->sign = digits_sign_char;
617
618 free (temporary_binary_low);
619 free (power_binary_low);
620 free (digits_binary_low);
621 }
622 return return_value;
623 }
624
625 #ifdef TRACE
626 static void
627 flonum_print (const FLONUM_TYPE *f)
628 {
629 LITTLENUM_TYPE *lp;
630 char littlenum_format[10];
631 sprintf (littlenum_format, " %%0%dx", sizeof (LITTLENUM_TYPE) * 2);
632 #define print_littlenum(LP) (printf (littlenum_format, LP))
633 printf ("flonum @%p %c e%ld", f, f->sign, f->exponent);
634 if (f->low < f->high)
635 for (lp = f->high; lp >= f->low; lp--)
636 print_littlenum (*lp);
637 else
638 for (lp = f->low; lp <= f->high; lp++)
639 print_littlenum (*lp);
640 printf ("\n");
641 fflush (stdout);
642 }
643 #endif
644
645 /* end of atof_generic.c */
646