1 /* IEEE floating point support routines, for GDB, the GNU Debugger.
2    Copyright (C) 1991-2021 Free Software Foundation, Inc.
3 
4 This file is part of GDB.
5 
6 This program 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 2 of the License, or
9 (at your option) any later version.
10 
11 This program is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14 GNU General Public License for more details.
15 
16 You should have received a copy of the GNU General Public License
17 along with this program; if not, write to the Free Software
18 Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA 02110-1301, USA.  */
19 
20 /* This is needed to pick up the NAN macro on some systems.  */
21 #ifndef _GNU_SOURCE
22 #define _GNU_SOURCE
23 #endif
24 
25 #ifdef HAVE_CONFIG_H
26 #include "config.h"
27 #endif
28 
29 #include <math.h>
30 
31 #ifdef HAVE_STRING_H
32 #include <string.h>
33 #endif
34 
35 /* On some platforms, <float.h> provides DBL_QNAN.  */
36 #ifdef STDC_HEADERS
37 #include <float.h>
38 #endif
39 
40 #include "ansidecl.h"
41 #include "libiberty.h"
42 #include "floatformat.h"
43 
44 #ifndef INFINITY
45 #ifdef HUGE_VAL
46 #define INFINITY HUGE_VAL
47 #else
48 #define INFINITY (1.0 / 0.0)
49 #endif
50 #endif
51 
52 #ifndef NAN
53 #ifdef DBL_QNAN
54 #define NAN DBL_QNAN
55 #else
56 #define NAN (0.0 / 0.0)
57 #endif
58 #endif
59 
60 static int mant_bits_set (const struct floatformat *, const unsigned char *);
61 static unsigned long get_field (const unsigned char *,
62                                 enum floatformat_byteorders,
63                                 unsigned int,
64                                 unsigned int,
65                                 unsigned int);
66 static int floatformat_always_valid (const struct floatformat *fmt,
67                                      const void *from);
68 
69 static int
floatformat_always_valid(const struct floatformat * fmt ATTRIBUTE_UNUSED,const void * from ATTRIBUTE_UNUSED)70 floatformat_always_valid (const struct floatformat *fmt ATTRIBUTE_UNUSED,
71                           const void *from ATTRIBUTE_UNUSED)
72 {
73   return 1;
74 }
75 
76 /* The odds that CHAR_BIT will be anything but 8 are low enough that I'm not
77    going to bother with trying to muck around with whether it is defined in
78    a system header, what we do if not, etc.  */
79 #define FLOATFORMAT_CHAR_BIT 8
80 
81 /* floatformats for IEEE half, single and double, big and little endian.  */
82 const struct floatformat floatformat_ieee_half_big =
83 {
84   floatformat_big, 16, 0, 1, 5, 15, 31, 6, 10,
85   floatformat_intbit_no,
86   "floatformat_ieee_half_big",
87   floatformat_always_valid,
88   NULL
89 };
90 const struct floatformat floatformat_ieee_half_little =
91 {
92   floatformat_little, 16, 0, 1, 5, 15, 31, 6, 10,
93   floatformat_intbit_no,
94   "floatformat_ieee_half_little",
95   floatformat_always_valid,
96   NULL
97 };
98 const struct floatformat floatformat_ieee_single_big =
99 {
100   floatformat_big, 32, 0, 1, 8, 127, 255, 9, 23,
101   floatformat_intbit_no,
102   "floatformat_ieee_single_big",
103   floatformat_always_valid,
104   NULL
105 };
106 const struct floatformat floatformat_ieee_single_little =
107 {
108   floatformat_little, 32, 0, 1, 8, 127, 255, 9, 23,
109   floatformat_intbit_no,
110   "floatformat_ieee_single_little",
111   floatformat_always_valid,
112   NULL
113 };
114 const struct floatformat floatformat_ieee_double_big =
115 {
116   floatformat_big, 64, 0, 1, 11, 1023, 2047, 12, 52,
117   floatformat_intbit_no,
118   "floatformat_ieee_double_big",
119   floatformat_always_valid,
120   NULL
121 };
122 const struct floatformat floatformat_ieee_double_little =
123 {
124   floatformat_little, 64, 0, 1, 11, 1023, 2047, 12, 52,
125   floatformat_intbit_no,
126   "floatformat_ieee_double_little",
127   floatformat_always_valid,
128   NULL
129 };
130 
131 /* floatformat for IEEE double, little endian byte order, with big endian word
132    ordering, as on the ARM.  */
133 
134 const struct floatformat floatformat_ieee_double_littlebyte_bigword =
135 {
136   floatformat_littlebyte_bigword, 64, 0, 1, 11, 1023, 2047, 12, 52,
137   floatformat_intbit_no,
138   "floatformat_ieee_double_littlebyte_bigword",
139   floatformat_always_valid,
140   NULL
141 };
142 
143 /* floatformat for VAX.  Not quite IEEE, but close enough.  */
144 
145 const struct floatformat floatformat_vax_f =
146 {
147   floatformat_vax, 32, 0, 1, 8, 129, 0, 9, 23,
148   floatformat_intbit_no,
149   "floatformat_vax_f",
150   floatformat_always_valid,
151   NULL
152 };
153 const struct floatformat floatformat_vax_d =
154 {
155   floatformat_vax, 64, 0, 1, 8, 129, 0, 9, 55,
156   floatformat_intbit_no,
157   "floatformat_vax_d",
158   floatformat_always_valid,
159   NULL
160 };
161 const struct floatformat floatformat_vax_g =
162 {
163   floatformat_vax, 64, 0, 1, 11, 1025, 0, 12, 52,
164   floatformat_intbit_no,
165   "floatformat_vax_g",
166   floatformat_always_valid,
167   NULL
168 };
169 
170 static int floatformat_i387_ext_is_valid (const struct floatformat *fmt,
171 					  const void *from);
172 
173 static int
floatformat_i387_ext_is_valid(const struct floatformat * fmt,const void * from)174 floatformat_i387_ext_is_valid (const struct floatformat *fmt, const void *from)
175 {
176   /* In the i387 double-extended format, if the exponent is all ones,
177      then the integer bit must be set.  If the exponent is neither 0
178      nor ~0, the intbit must also be set.  Only if the exponent is
179      zero can it be zero, and then it must be zero.  */
180   unsigned long exponent, int_bit;
181   const unsigned char *ufrom = (const unsigned char *) from;
182 
183   exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
184 			fmt->exp_start, fmt->exp_len);
185   int_bit = get_field (ufrom, fmt->byteorder, fmt->totalsize,
186 		       fmt->man_start, 1);
187 
188   if ((exponent == 0) != (int_bit == 0))
189     return 0;
190   else
191     return 1;
192 }
193 
194 const struct floatformat floatformat_i387_ext =
195 {
196   floatformat_little, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
197   floatformat_intbit_yes,
198   "floatformat_i387_ext",
199   floatformat_i387_ext_is_valid,
200   NULL
201 };
202 const struct floatformat floatformat_m68881_ext =
203 {
204   /* Note that the bits from 16 to 31 are unused.  */
205   floatformat_big, 96, 0, 1, 15, 0x3fff, 0x7fff, 32, 64,
206   floatformat_intbit_yes,
207   "floatformat_m68881_ext",
208   floatformat_always_valid,
209   NULL
210 };
211 const struct floatformat floatformat_i960_ext =
212 {
213   /* Note that the bits from 0 to 15 are unused.  */
214   floatformat_little, 96, 16, 17, 15, 0x3fff, 0x7fff, 32, 64,
215   floatformat_intbit_yes,
216   "floatformat_i960_ext",
217   floatformat_always_valid,
218   NULL
219 };
220 const struct floatformat floatformat_m88110_ext =
221 {
222   floatformat_big, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
223   floatformat_intbit_yes,
224   "floatformat_m88110_ext",
225   floatformat_always_valid,
226   NULL
227 };
228 const struct floatformat floatformat_m88110_harris_ext =
229 {
230   /* Harris uses raw format 128 bytes long, but the number is just an ieee
231      double, and the last 64 bits are wasted. */
232   floatformat_big,128, 0, 1, 11,  0x3ff,  0x7ff, 12, 52,
233   floatformat_intbit_no,
234   "floatformat_m88110_ext_harris",
235   floatformat_always_valid,
236   NULL
237 };
238 const struct floatformat floatformat_arm_ext_big =
239 {
240   /* Bits 1 to 16 are unused.  */
241   floatformat_big, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
242   floatformat_intbit_yes,
243   "floatformat_arm_ext_big",
244   floatformat_always_valid,
245   NULL
246 };
247 const struct floatformat floatformat_arm_ext_littlebyte_bigword =
248 {
249   /* Bits 1 to 16 are unused.  */
250   floatformat_littlebyte_bigword, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
251   floatformat_intbit_yes,
252   "floatformat_arm_ext_littlebyte_bigword",
253   floatformat_always_valid,
254   NULL
255 };
256 const struct floatformat floatformat_ia64_spill_big =
257 {
258   floatformat_big, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
259   floatformat_intbit_yes,
260   "floatformat_ia64_spill_big",
261   floatformat_always_valid,
262   NULL
263 };
264 const struct floatformat floatformat_ia64_spill_little =
265 {
266   floatformat_little, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
267   floatformat_intbit_yes,
268   "floatformat_ia64_spill_little",
269   floatformat_always_valid,
270   NULL
271 };
272 const struct floatformat floatformat_ia64_quad_big =
273 {
274   floatformat_big, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
275   floatformat_intbit_no,
276   "floatformat_ia64_quad_big",
277   floatformat_always_valid,
278   NULL
279 };
280 const struct floatformat floatformat_ia64_quad_little =
281 {
282   floatformat_little, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
283   floatformat_intbit_no,
284   "floatformat_ia64_quad_little",
285   floatformat_always_valid,
286   NULL
287 };
288 
289 static int
floatformat_ibm_long_double_is_valid(const struct floatformat * fmt,const void * from)290 floatformat_ibm_long_double_is_valid (const struct floatformat *fmt,
291 				      const void *from)
292 {
293   const unsigned char *ufrom = (const unsigned char *) from;
294   const struct floatformat *hfmt = fmt->split_half;
295   long top_exp, bot_exp;
296   int top_nan = 0;
297 
298   top_exp = get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
299 		       hfmt->exp_start, hfmt->exp_len);
300   bot_exp = get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
301 		       hfmt->exp_start, hfmt->exp_len);
302 
303   if ((unsigned long) top_exp == hfmt->exp_nan)
304     top_nan = mant_bits_set (hfmt, ufrom);
305 
306   /* A NaN is valid with any low part.  */
307   if (top_nan)
308     return 1;
309 
310   /* An infinity, zero or denormal requires low part 0 (positive or
311      negative).  */
312   if ((unsigned long) top_exp == hfmt->exp_nan || top_exp == 0)
313     {
314       if (bot_exp != 0)
315 	return 0;
316 
317       return !mant_bits_set (hfmt, ufrom + 8);
318     }
319 
320   /* The top part is now a finite normal value.  The long double value
321      is the sum of the two parts, and the top part must equal the
322      result of rounding the long double value to nearest double.  Thus
323      the bottom part must be <= 0.5ulp of the top part in absolute
324      value, and if it is < 0.5ulp then the long double is definitely
325      valid.  */
326   if (bot_exp < top_exp - 53)
327     return 1;
328   if (bot_exp > top_exp - 53 && bot_exp != 0)
329     return 0;
330   if (bot_exp == 0)
331     {
332       /* The bottom part is 0 or denormal.  Determine which, and if
333 	 denormal the first two set bits.  */
334       int first_bit = -1, second_bit = -1, cur_bit;
335       for (cur_bit = 0; (unsigned int) cur_bit < hfmt->man_len; cur_bit++)
336 	if (get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
337 		       hfmt->man_start + cur_bit, 1))
338 	  {
339 	    if (first_bit == -1)
340 	      first_bit = cur_bit;
341 	    else
342 	      {
343 		second_bit = cur_bit;
344 		break;
345 	      }
346 	  }
347       /* Bottom part 0 is OK.  */
348       if (first_bit == -1)
349 	return 1;
350       /* The real exponent of the bottom part is -first_bit.  */
351       if (-first_bit < top_exp - 53)
352 	return 1;
353       if (-first_bit > top_exp - 53)
354 	return 0;
355       /* The bottom part is at least 0.5ulp of the top part.  For this
356 	 to be OK, the bottom part must be exactly 0.5ulp (i.e. no
357 	 more bits set) and the top part must have last bit 0.  */
358       if (second_bit != -1)
359 	return 0;
360       return !get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
361 			 hfmt->man_start + hfmt->man_len - 1, 1);
362     }
363   else
364     {
365       /* The bottom part is at least 0.5ulp of the top part.  For this
366 	 to be OK, it must be exactly 0.5ulp (i.e. no explicit bits
367 	 set) and the top part must have last bit 0.  */
368       if (get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
369 		     hfmt->man_start + hfmt->man_len - 1, 1))
370 	return 0;
371       return !mant_bits_set (hfmt, ufrom + 8);
372     }
373 }
374 
375 const struct floatformat floatformat_ibm_long_double_big =
376 {
377   floatformat_big, 128, 0, 1, 11, 1023, 2047, 12, 52,
378   floatformat_intbit_no,
379   "floatformat_ibm_long_double_big",
380   floatformat_ibm_long_double_is_valid,
381   &floatformat_ieee_double_big
382 };
383 
384 const struct floatformat floatformat_ibm_long_double_little =
385 {
386   floatformat_little, 128, 0, 1, 11, 1023, 2047, 12, 52,
387   floatformat_intbit_no,
388   "floatformat_ibm_long_double_little",
389   floatformat_ibm_long_double_is_valid,
390   &floatformat_ieee_double_little
391 };
392 
393 const struct floatformat floatformat_bfloat16_big =
394 {
395   floatformat_big, 16, 0, 1, 8, 127, 255, 9, 7,
396   floatformat_intbit_no,
397   "floatformat_bfloat16_big",
398   floatformat_always_valid,
399   NULL
400 };
401 
402 const struct floatformat floatformat_bfloat16_little =
403 {
404   floatformat_little, 16, 0, 1, 8, 127, 255, 9, 7,
405   floatformat_intbit_no,
406   "floatformat_bfloat16_little",
407   floatformat_always_valid,
408   NULL
409 };
410 
411 #ifndef min
412 #define min(a, b) ((a) < (b) ? (a) : (b))
413 #endif
414 
415 /* Return 1 if any bits are explicitly set in the mantissa of UFROM,
416    format FMT, 0 otherwise.  */
417 static int
mant_bits_set(const struct floatformat * fmt,const unsigned char * ufrom)418 mant_bits_set (const struct floatformat *fmt, const unsigned char *ufrom)
419 {
420   unsigned int mant_bits, mant_off;
421   int mant_bits_left;
422 
423   mant_off = fmt->man_start;
424   mant_bits_left = fmt->man_len;
425   while (mant_bits_left > 0)
426     {
427       mant_bits = min (mant_bits_left, 32);
428 
429       if (get_field (ufrom, fmt->byteorder, fmt->totalsize,
430 		     mant_off, mant_bits) != 0)
431 	return 1;
432 
433       mant_off += mant_bits;
434       mant_bits_left -= mant_bits;
435     }
436   return 0;
437 }
438 
439 /* Extract a field which starts at START and is LEN bits long.  DATA and
440    TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER.  */
441 static unsigned long
get_field(const unsigned char * data,enum floatformat_byteorders order,unsigned int total_len,unsigned int start,unsigned int len)442 get_field (const unsigned char *data, enum floatformat_byteorders order,
443            unsigned int total_len, unsigned int start, unsigned int len)
444 {
445   unsigned long result = 0;
446   unsigned int cur_byte;
447   int lo_bit, hi_bit, cur_bitshift = 0;
448   int nextbyte = (order == floatformat_little) ? 1 : -1;
449 
450   /* Start is in big-endian bit order!  Fix that first.  */
451   start = total_len - (start + len);
452 
453   /* Start at the least significant part of the field.  */
454   if (order == floatformat_little)
455     cur_byte = start / FLOATFORMAT_CHAR_BIT;
456   else
457     cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
458 
459   lo_bit = start % FLOATFORMAT_CHAR_BIT;
460   hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
461 
462   do
463     {
464       unsigned int shifted = *(data + cur_byte) >> lo_bit;
465       unsigned int bits = hi_bit - lo_bit;
466       unsigned int mask = (1 << bits) - 1;
467       result |= (shifted & mask) << cur_bitshift;
468       len -= bits;
469       cur_bitshift += bits;
470       cur_byte += nextbyte;
471       lo_bit = 0;
472       hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
473     }
474   while (len != 0);
475 
476   return result;
477 }
478 
479 /* Convert from FMT to a double.
480    FROM is the address of the extended float.
481    Store the double in *TO.  */
482 
483 void
floatformat_to_double(const struct floatformat * fmt,const void * from,double * to)484 floatformat_to_double (const struct floatformat *fmt,
485                        const void *from, double *to)
486 {
487   const unsigned char *ufrom = (const unsigned char *) from;
488   double dto;
489   long exponent;
490   unsigned long mant;
491   unsigned int mant_bits, mant_off;
492   int mant_bits_left;
493 
494   /* Split values are not handled specially, since the top half has
495      the correctly rounded double value (in the only supported case of
496      split values).  */
497 
498   exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
499 			fmt->exp_start, fmt->exp_len);
500 
501   /* If the exponent indicates a NaN, we don't have information to
502      decide what to do.  So we handle it like IEEE, except that we
503      don't try to preserve the type of NaN.  FIXME.  */
504   if ((unsigned long) exponent == fmt->exp_nan)
505     {
506       int nan = mant_bits_set (fmt, ufrom);
507 
508       /* On certain systems (such as GNU/Linux), the use of the
509 	 INFINITY macro below may generate a warning that cannot be
510 	 silenced due to a bug in GCC (PR preprocessor/11931).  The
511 	 preprocessor fails to recognise the __extension__ keyword in
512 	 conjunction with the GNU/C99 extension for hexadecimal
513 	 floating point constants and will issue a warning when
514 	 compiling with -pedantic.  */
515       if (nan)
516 	dto = NAN;
517       else
518 	dto = INFINITY;
519 
520       if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
521 	dto = -dto;
522 
523       *to = dto;
524 
525       return;
526     }
527 
528   mant_bits_left = fmt->man_len;
529   mant_off = fmt->man_start;
530   dto = 0.0;
531 
532   /* Build the result algebraically.  Might go infinite, underflow, etc;
533      who cares. */
534 
535   /* For denorms use minimum exponent.  */
536   if (exponent == 0)
537     exponent = 1 - fmt->exp_bias;
538   else
539     {
540       exponent -= fmt->exp_bias;
541 
542       /* If this format uses a hidden bit, explicitly add it in now.
543 	 Otherwise, increment the exponent by one to account for the
544 	 integer bit.  */
545 
546       if (fmt->intbit == floatformat_intbit_no)
547 	dto = ldexp (1.0, exponent);
548       else
549 	exponent++;
550     }
551 
552   while (mant_bits_left > 0)
553     {
554       mant_bits = min (mant_bits_left, 32);
555 
556       mant = get_field (ufrom, fmt->byteorder, fmt->totalsize,
557 			 mant_off, mant_bits);
558 
559       dto += ldexp ((double) mant, exponent - mant_bits);
560       exponent -= mant_bits;
561       mant_off += mant_bits;
562       mant_bits_left -= mant_bits;
563     }
564 
565   /* Negate it if negative.  */
566   if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
567     dto = -dto;
568   *to = dto;
569 }
570 
571 static void put_field (unsigned char *, enum floatformat_byteorders,
572                        unsigned int,
573                        unsigned int,
574                        unsigned int,
575                        unsigned long);
576 
577 /* Set a field which starts at START and is LEN bits long.  DATA and
578    TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER.  */
579 static void
put_field(unsigned char * data,enum floatformat_byteorders order,unsigned int total_len,unsigned int start,unsigned int len,unsigned long stuff_to_put)580 put_field (unsigned char *data, enum floatformat_byteorders order,
581            unsigned int total_len, unsigned int start, unsigned int len,
582            unsigned long stuff_to_put)
583 {
584   unsigned int cur_byte;
585   int lo_bit, hi_bit;
586   int nextbyte = (order == floatformat_little) ? 1 : -1;
587 
588   /* Start is in big-endian bit order!  Fix that first.  */
589   start = total_len - (start + len);
590 
591   /* Start at the least significant part of the field.  */
592   if (order == floatformat_little)
593     cur_byte = start / FLOATFORMAT_CHAR_BIT;
594   else
595     cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
596 
597   lo_bit = start % FLOATFORMAT_CHAR_BIT;
598   hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
599 
600   do
601     {
602       unsigned char *byte_ptr = data + cur_byte;
603       unsigned int bits = hi_bit - lo_bit;
604       unsigned int mask = ((1 << bits) - 1) << lo_bit;
605       *byte_ptr = (*byte_ptr & ~mask) | ((stuff_to_put << lo_bit) & mask);
606       stuff_to_put >>= bits;
607       len -= bits;
608       cur_byte += nextbyte;
609       lo_bit = 0;
610       hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
611     }
612   while (len != 0);
613 }
614 
615 /* The converse: convert the double *FROM to an extended float
616    and store where TO points.  Neither FROM nor TO have any alignment
617    restrictions.  */
618 
619 void
floatformat_from_double(const struct floatformat * fmt,const double * from,void * to)620 floatformat_from_double (const struct floatformat *fmt,
621                          const double *from, void *to)
622 {
623   double dfrom;
624   int exponent;
625   double mant;
626   unsigned int mant_bits, mant_off;
627   int mant_bits_left;
628   unsigned char *uto = (unsigned char *) to;
629 
630   dfrom = *from;
631   memset (uto, 0, fmt->totalsize / FLOATFORMAT_CHAR_BIT);
632 
633   /* Split values are not handled specially, since a bottom half of
634      zero is correct for any value representable as double (in the
635      only supported case of split values).  */
636 
637   /* If negative, set the sign bit.  */
638   if (dfrom < 0)
639     {
640       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1, 1);
641       dfrom = -dfrom;
642     }
643 
644   if (dfrom == 0)
645     {
646       /* 0.0.  */
647       return;
648     }
649 
650   if (dfrom != dfrom)
651     {
652       /* NaN.  */
653       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
654 		 fmt->exp_len, fmt->exp_nan);
655       /* Be sure it's not infinity, but NaN value is irrelevant.  */
656       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->man_start,
657 		 32, 1);
658       return;
659     }
660 
661   if (dfrom + dfrom == dfrom)
662     {
663       /* This can only happen for an infinite value (or zero, which we
664 	 already handled above).  */
665       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
666 		 fmt->exp_len, fmt->exp_nan);
667       return;
668     }
669 
670   mant = frexp (dfrom, &exponent);
671   if (exponent + fmt->exp_bias - 1 > 0)
672     put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
673 	       fmt->exp_len, exponent + fmt->exp_bias - 1);
674   else
675     {
676       /* Handle a denormalized number.  FIXME: What should we do for
677 	 non-IEEE formats?  */
678       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
679 		 fmt->exp_len, 0);
680       mant = ldexp (mant, exponent + fmt->exp_bias - 1);
681     }
682 
683   mant_bits_left = fmt->man_len;
684   mant_off = fmt->man_start;
685   while (mant_bits_left > 0)
686     {
687       unsigned long mant_long;
688       mant_bits = mant_bits_left < 32 ? mant_bits_left : 32;
689 
690       mant *= 4294967296.0;
691       mant_long = (unsigned long)mant;
692       mant -= mant_long;
693 
694       /* If the integer bit is implicit, and we are not creating a
695 	 denormalized number, then we need to discard it.  */
696       if ((unsigned int) mant_bits_left == fmt->man_len
697 	  && fmt->intbit == floatformat_intbit_no
698 	  && exponent + fmt->exp_bias - 1 > 0)
699 	{
700 	  mant_long &= 0x7fffffff;
701 	  mant_bits -= 1;
702 	}
703       else if (mant_bits < 32)
704 	{
705 	  /* The bits we want are in the most significant MANT_BITS bits of
706 	     mant_long.  Move them to the least significant.  */
707 	  mant_long >>= 32 - mant_bits;
708 	}
709 
710       put_field (uto, fmt->byteorder, fmt->totalsize,
711 		 mant_off, mant_bits, mant_long);
712       mant_off += mant_bits;
713       mant_bits_left -= mant_bits;
714     }
715 }
716 
717 /* Return non-zero iff the data at FROM is a valid number in format FMT.  */
718 
719 int
floatformat_is_valid(const struct floatformat * fmt,const void * from)720 floatformat_is_valid (const struct floatformat *fmt, const void *from)
721 {
722   return fmt->is_valid (fmt, from);
723 }
724 
725 
726 #ifdef IEEE_DEBUG
727 
728 #include <stdio.h>
729 
730 /* This is to be run on a host which uses IEEE floating point.  */
731 
732 void
ieee_test(double n)733 ieee_test (double n)
734 {
735   double result;
736 
737   floatformat_to_double (&floatformat_ieee_double_little, &n, &result);
738   if ((n != result && (! isnan (n) || ! isnan (result)))
739       || (n < 0 && result >= 0)
740       || (n >= 0 && result < 0))
741     printf ("Differ(to): %.20g -> %.20g\n", n, result);
742 
743   floatformat_from_double (&floatformat_ieee_double_little, &n, &result);
744   if ((n != result && (! isnan (n) || ! isnan (result)))
745       || (n < 0 && result >= 0)
746       || (n >= 0 && result < 0))
747     printf ("Differ(from): %.20g -> %.20g\n", n, result);
748 
749 #if 0
750   {
751     char exten[16];
752 
753     floatformat_from_double (&floatformat_m68881_ext, &n, exten);
754     floatformat_to_double (&floatformat_m68881_ext, exten, &result);
755     if (n != result)
756       printf ("Differ(to+from): %.20g -> %.20g\n", n, result);
757   }
758 #endif
759 
760 #if IEEE_DEBUG > 1
761   /* This is to be run on a host which uses 68881 format.  */
762   {
763     long double ex = *(long double *)exten;
764     if (ex != n)
765       printf ("Differ(from vs. extended): %.20g\n", n);
766   }
767 #endif
768 }
769 
770 int
main(void)771 main (void)
772 {
773   ieee_test (0.0);
774   ieee_test (0.5);
775   ieee_test (1.1);
776   ieee_test (256.0);
777   ieee_test (0.12345);
778   ieee_test (234235.78907234);
779   ieee_test (-512.0);
780   ieee_test (-0.004321);
781   ieee_test (1.2E-70);
782   ieee_test (1.2E-316);
783   ieee_test (4.9406564584124654E-324);
784   ieee_test (- 4.9406564584124654E-324);
785   ieee_test (- 0.0);
786   ieee_test (- INFINITY);
787   ieee_test (- NAN);
788   ieee_test (INFINITY);
789   ieee_test (NAN);
790   return 0;
791 }
792 #endif
793