1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
|
/* atof_generic.c - turn a string of digits into a Flonum
Copyright (C) 1987-2019 Free Software Foundation, Inc.
This file is part of GAS, the GNU Assembler.
GAS is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 3, or (at your option)
any later version.
GAS 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 General Public
License for more details.
You should have received a copy of the GNU General Public License
along with GAS; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street - Fifth Floor, Boston, MA
02110-1301, USA. */
#include "as.h"
#include "safe-ctype.h"
#ifndef FALSE
#define FALSE (0)
#endif
#ifndef TRUE
#define TRUE (1)
#endif
#ifdef TRACE
static void flonum_print (const FLONUM_TYPE *);
#endif
#define ASSUME_DECIMAL_MARK_IS_DOT
/***********************************************************************\
* *
* Given a string of decimal digits , with optional decimal *
* mark and optional decimal exponent (place value) of the *
* lowest_order decimal digit: produce a floating point *
* number. The number is 'generic' floating point: our *
* caller will encode it for a specific machine architecture. *
* *
* Assumptions *
* uses base (radix) 2 *
* this machine uses 2's complement binary integers *
* target flonums use " " " " *
* target flonums exponents fit in a long *
* *
\***********************************************************************/
/*
Syntax:
<flonum> ::= <optional-sign> <decimal-number> <optional-exponent>
<optional-sign> ::= '+' | '-' | {empty}
<decimal-number> ::= <integer>
| <integer> <radix-character>
| <integer> <radix-character> <integer>
| <radix-character> <integer>
<optional-exponent> ::= {empty}
| <exponent-character> <optional-sign> <integer>
<integer> ::= <digit> | <digit> <integer>
<digit> ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'
<exponent-character> ::= {one character from "string_of_decimal_exponent_marks"}
<radix-character> ::= {one character from "string_of_decimal_marks"}
*/
int
atof_generic (/* return pointer to just AFTER number we read. */
char **address_of_string_pointer,
/* At most one per number. */
const char *string_of_decimal_marks,
const char *string_of_decimal_exponent_marks,
FLONUM_TYPE *address_of_generic_floating_point_number)
{
int return_value; /* 0 means OK. */
char *first_digit;
unsigned int number_of_digits_before_decimal;
unsigned int number_of_digits_after_decimal;
long decimal_exponent;
unsigned int number_of_digits_available;
char digits_sign_char;
/*
* Scan the input string, abstracting (1)digits (2)decimal mark (3) exponent.
* It would be simpler to modify the string, but we don't; just to be nice
* to caller.
* We need to know how many digits we have, so we can allocate space for
* the digits' value.
*/
char *p;
char c;
int seen_significant_digit;
#ifdef ASSUME_DECIMAL_MARK_IS_DOT
gas_assert (string_of_decimal_marks[0] == '.'
&& string_of_decimal_marks[1] == 0);
#define IS_DECIMAL_MARK(c) ((c) == '.')
#else
#define IS_DECIMAL_MARK(c) (0 != strchr (string_of_decimal_marks, (c)))
#endif
first_digit = *address_of_string_pointer;
c = *first_digit;
if (c == '-' || c == '+')
{
digits_sign_char = c;
first_digit++;
}
else
digits_sign_char = '+';
switch (first_digit[0])
{
case 'n':
case 'N':
if (!strncasecmp ("nan", first_digit, 3))
{
address_of_generic_floating_point_number->sign = 0;
address_of_generic_floating_point_number->exponent = 0;
address_of_generic_floating_point_number->leader =
address_of_generic_floating_point_number->low;
*address_of_string_pointer = first_digit + 3;
return 0;
}
break;
case 'i':
case 'I':
if (!strncasecmp ("inf", first_digit, 3))
{
address_of_generic_floating_point_number->sign =
digits_sign_char == '+' ? 'P' : 'N';
address_of_generic_floating_point_number->exponent = 0;
address_of_generic_floating_point_number->leader =
address_of_generic_floating_point_number->low;
first_digit += 3;
if (!strncasecmp ("inity", first_digit, 5))
first_digit += 5;
*address_of_string_pointer = first_digit;
return 0;
}
break;
}
number_of_digits_before_decimal = 0;
number_of_digits_after_decimal = 0;
decimal_exponent = 0;
seen_significant_digit = 0;
for (p = first_digit;
(((c = *p) != '\0')
&& (!c || !IS_DECIMAL_MARK (c))
&& (!c || !strchr (string_of_decimal_exponent_marks, c)));
p++)
{
if (ISDIGIT (c))
{
if (seen_significant_digit || c > '0')
{
++number_of_digits_before_decimal;
seen_significant_digit = 1;
}
else
{
first_digit++;
}
}
else
{
break; /* p -> char after pre-decimal digits. */
}
} /* For each digit before decimal mark. */
#ifndef OLD_FLOAT_READS
/* Ignore trailing 0's after the decimal point. The original code here
* (ifdef'd out) does not do this, and numbers like
* 4.29496729600000000000e+09 (2**31)
* come out inexact for some reason related to length of the digit
* string.
*/
if (c && IS_DECIMAL_MARK (c))
{
unsigned int zeros = 0; /* Length of current string of zeros */
for (p++; (c = *p) && ISDIGIT (c); p++)
{
if (c == '0')
{
zeros++;
}
else
{
number_of_digits_after_decimal += 1 + zeros;
zeros = 0;
}
}
}
#else
if (c && IS_DECIMAL_MARK (c))
{
for (p++;
(((c = *p) != '\0')
&& (!c || !strchr (string_of_decimal_exponent_marks, c)));
p++)
{
if (ISDIGIT (c))
{
/* This may be retracted below. */
number_of_digits_after_decimal++;
if ( /* seen_significant_digit || */ c > '0')
{
seen_significant_digit = TRUE;
}
}
else
{
if (!seen_significant_digit)
{
number_of_digits_after_decimal = 0;
}
break;
}
} /* For each digit after decimal mark. */
}
while (number_of_digits_after_decimal
&& first_digit[number_of_digits_before_decimal
+ number_of_digits_after_decimal] == '0')
--number_of_digits_after_decimal;
#endif
if (flag_m68k_mri)
{
while (c == '_')
c = *++p;
}
if (c && strchr (string_of_decimal_exponent_marks, c))
{
char digits_exponent_sign_char;
c = *++p;
if (flag_m68k_mri)
{
while (c == '_')
c = *++p;
}
if (c && strchr ("+-", c))
{
digits_exponent_sign_char = c;
c = *++p;
}
else
{
digits_exponent_sign_char = '+';
}
for (; (c); c = *++p)
{
if (ISDIGIT (c))
{
decimal_exponent = decimal_exponent * 10 + c - '0';
/*
* BUG! If we overflow here, we lose!
*/
}
else
{
break;
}
}
if (digits_exponent_sign_char == '-')
{
decimal_exponent = -decimal_exponent;
}
}
*address_of_string_pointer = p;
number_of_digits_available =
number_of_digits_before_decimal + number_of_digits_after_decimal;
return_value = 0;
if (number_of_digits_available == 0)
{
address_of_generic_floating_point_number->exponent = 0; /* Not strictly necessary */
address_of_generic_floating_point_number->leader
= -1 + address_of_generic_floating_point_number->low;
address_of_generic_floating_point_number->sign = digits_sign_char;
/* We have just concocted (+/-)0.0E0 */
}
else
{
int count; /* Number of useful digits left to scan. */
LITTLENUM_TYPE *temporary_binary_low = NULL;
LITTLENUM_TYPE *power_binary_low = NULL;
LITTLENUM_TYPE *digits_binary_low;
unsigned int precision;
unsigned int maximum_useful_digits;
unsigned int number_of_digits_to_use;
unsigned int more_than_enough_bits_for_digits;
unsigned int more_than_enough_littlenums_for_digits;
unsigned int size_of_digits_in_littlenums;
unsigned int size_of_digits_in_chars;
FLONUM_TYPE power_of_10_flonum;
FLONUM_TYPE digits_flonum;
precision = (address_of_generic_floating_point_number->high
- address_of_generic_floating_point_number->low
+ 1); /* Number of destination littlenums. */
/* Includes guard bits (two littlenums worth) */
maximum_useful_digits = (((precision - 2))
* ( (LITTLENUM_NUMBER_OF_BITS))
* 1000000 / 3321928)
+ 2; /* 2 :: guard digits. */
if (number_of_digits_available > maximum_useful_digits)
{
number_of_digits_to_use = maximum_useful_digits;
}
else
{
number_of_digits_to_use = number_of_digits_available;
}
/* Cast these to SIGNED LONG first, otherwise, on systems with
LONG wider than INT (such as Alpha OSF/1), unsignedness may
cause unexpected results. */
decimal_exponent += ((long) number_of_digits_before_decimal
- (long) number_of_digits_to_use);
more_than_enough_bits_for_digits
= (number_of_digits_to_use * 3321928 / 1000000 + 1);
more_than_enough_littlenums_for_digits
= (more_than_enough_bits_for_digits
/ LITTLENUM_NUMBER_OF_BITS)
+ 2;
/* Compute (digits) part. In "12.34E56" this is the "1234" part.
Arithmetic is exact here. If no digits are supplied then this
part is a 0 valued binary integer. Allocate room to build up
the binary number as littlenums. We want this memory to
disappear when we leave this function. Assume no alignment
problems => (room for n objects) == n * (room for 1
object). */
size_of_digits_in_littlenums = more_than_enough_littlenums_for_digits;
size_of_digits_in_chars = size_of_digits_in_littlenums
* sizeof (LITTLENUM_TYPE);
digits_binary_low = (LITTLENUM_TYPE *)
xmalloc (size_of_digits_in_chars);
memset ((char *) digits_binary_low, '\0', size_of_digits_in_chars);
/* Digits_binary_low[] is allocated and zeroed. */
/*
* Parse the decimal digits as if * digits_low was in the units position.
* Emit a binary number into digits_binary_low[].
*
* Use a large-precision version of:
* (((1st-digit) * 10 + 2nd-digit) * 10 + 3rd-digit ...) * 10 + last-digit
*/
for (p = first_digit, count = number_of_digits_to_use; count; p++, --count)
{
c = *p;
if (ISDIGIT (c))
{
/*
* Multiply by 10. Assume can never overflow.
* Add this digit to digits_binary_low[].
*/
long carry;
LITTLENUM_TYPE *littlenum_pointer;
LITTLENUM_TYPE *littlenum_limit;
littlenum_limit = digits_binary_low
+ more_than_enough_littlenums_for_digits
- 1;
carry = c - '0'; /* char -> binary */
for (littlenum_pointer = digits_binary_low;
littlenum_pointer <= littlenum_limit;
littlenum_pointer++)
{
long work;
work = carry + 10 * (long) (*littlenum_pointer);
*littlenum_pointer = work & LITTLENUM_MASK;
carry = work >> LITTLENUM_NUMBER_OF_BITS;
}
if (carry != 0)
{
/*
* We have a GROSS internal error.
* This should never happen.
*/
as_fatal (_("failed sanity check"));
}
}
else
{
++count; /* '.' doesn't alter digits used count. */
}
}
/*
* Digits_binary_low[] properly encodes the value of the digits.
* Forget about any high-order littlenums that are 0.
*/
while (digits_binary_low[size_of_digits_in_littlenums - 1] == 0
&& size_of_digits_in_littlenums >= 2)
size_of_digits_in_littlenums--;
digits_flonum.low = digits_binary_low;
digits_flonum.high = digits_binary_low + size_of_digits_in_littlenums - 1;
digits_flonum.leader = digits_flonum.high;
digits_flonum.exponent = 0;
/*
* The value of digits_flonum . sign should not be important.
* We have already decided the output's sign.
* We trust that the sign won't influence the other parts of the number!
* So we give it a value for these reasons:
* (1) courtesy to humans reading/debugging
* these numbers so they don't get excited about strange values
* (2) in future there may be more meaning attached to sign,
* and what was
* harmless noise may become disruptive, ill-conditioned (or worse)
* input.
*/
digits_flonum.sign = '+';
{
/*
* Compute the mantissa (& exponent) of the power of 10.
* If successful, then multiply the power of 10 by the digits
* giving return_binary_mantissa and return_binary_exponent.
*/
int decimal_exponent_is_negative;
/* This refers to the "-56" in "12.34E-56". */
/* FALSE: decimal_exponent is positive (or 0) */
/* TRUE: decimal_exponent is negative */
FLONUM_TYPE temporary_flonum;
unsigned int size_of_power_in_littlenums;
unsigned int size_of_power_in_chars;
size_of_power_in_littlenums = precision;
/* Precision has a built-in fudge factor so we get a few guard bits. */
decimal_exponent_is_negative = decimal_exponent < 0;
if (decimal_exponent_is_negative)
{
decimal_exponent = -decimal_exponent;
}
/* From now on: the decimal exponent is > 0. Its sign is separate. */
size_of_power_in_chars = size_of_power_in_littlenums
* sizeof (LITTLENUM_TYPE) + 2;
power_binary_low = (LITTLENUM_TYPE *) xmalloc (size_of_power_in_chars);
temporary_binary_low = (LITTLENUM_TYPE *) xmalloc (size_of_power_in_chars);
memset ((char *) power_binary_low, '\0', size_of_power_in_chars);
*power_binary_low = 1;
power_of_10_flonum.exponent = 0;
power_of_10_flonum.low = power_binary_low;
power_of_10_flonum.leader = power_binary_low;
power_of_10_flonum.high = power_binary_low + size_of_power_in_littlenums - 1;
power_of_10_flonum.sign = '+';
temporary_flonum.low = temporary_binary_low;
temporary_flonum.high = temporary_binary_low + size_of_power_in_littlenums - 1;
/*
* (power) == 1.
* Space for temporary_flonum allocated.
*/
/*
* ...
*
* WHILE more bits
* DO find next bit (with place value)
* multiply into power mantissa
* OD
*/
{
int place_number_limit;
/* Any 10^(2^n) whose "n" exceeds this */
/* value will fall off the end of */
/* flonum_XXXX_powers_of_ten[]. */
int place_number;
const FLONUM_TYPE *multiplicand; /* -> 10^(2^n) */
place_number_limit = table_size_of_flonum_powers_of_ten;
multiplicand = (decimal_exponent_is_negative
? flonum_negative_powers_of_ten
: flonum_positive_powers_of_ten);
for (place_number = 1;/* Place value of this bit of exponent. */
decimal_exponent;/* Quit when no more 1 bits in exponent. */
decimal_exponent >>= 1, place_number++)
{
if (decimal_exponent & 1)
{
if (place_number > place_number_limit)
{
/* The decimal exponent has a magnitude so great
that our tables can't help us fragment it.
Although this routine is in error because it
can't imagine a number that big, signal an
error as if it is the user's fault for
presenting such a big number. */
return_value = ERROR_EXPONENT_OVERFLOW;
/* quit out of loop gracefully */
decimal_exponent = 0;
}
else
{
#ifdef TRACE
printf ("before multiply, place_number = %d., power_of_10_flonum:\n",
place_number);
flonum_print (&power_of_10_flonum);
(void) putchar ('\n');
#endif
#ifdef TRACE
printf ("multiplier:\n");
flonum_print (multiplicand + place_number);
(void) putchar ('\n');
#endif
flonum_multip (multiplicand + place_number,
&power_of_10_flonum, &temporary_flonum);
#ifdef TRACE
printf ("after multiply:\n");
flonum_print (&temporary_flonum);
(void) putchar ('\n');
#endif
flonum_copy (&temporary_flonum, &power_of_10_flonum);
#ifdef TRACE
printf ("after copy:\n");
flonum_print (&power_of_10_flonum);
(void) putchar ('\n');
#endif
} /* If this bit of decimal_exponent was computable.*/
} /* If this bit of decimal_exponent was set. */
} /* For each bit of binary representation of exponent */
#ifdef TRACE
printf ("after computing power_of_10_flonum:\n");
flonum_print (&power_of_10_flonum);
(void) putchar ('\n');
#endif
}
}
/*
* power_of_10_flonum is power of ten in binary (mantissa) , (exponent).
* It may be the number 1, in which case we don't NEED to multiply.
*
* Multiply (decimal digits) by power_of_10_flonum.
*/
flonum_multip (&power_of_10_flonum, &digits_flonum, address_of_generic_floating_point_number);
/* Assert sign of the number we made is '+'. */
address_of_generic_floating_point_number->sign = digits_sign_char;
if (temporary_binary_low)
free (temporary_binary_low);
if (power_binary_low)
free (power_binary_low);
free (digits_binary_low);
}
return return_value;
}
#ifdef TRACE
static void
flonum_print (f)
const FLONUM_TYPE *f;
{
LITTLENUM_TYPE *lp;
char littlenum_format[10];
sprintf (littlenum_format, " %%0%dx", sizeof (LITTLENUM_TYPE) * 2);
#define print_littlenum(LP) (printf (littlenum_format, LP))
printf ("flonum @%p %c e%ld", f, f->sign, f->exponent);
if (f->low < f->high)
for (lp = f->high; lp >= f->low; lp--)
print_littlenum (*lp);
else
for (lp = f->low; lp <= f->high; lp++)
print_littlenum (*lp);
printf ("\n");
fflush (stdout);
}
#endif
/* end of atof_generic.c */
|