1 /* IEEE floating point support routines, for GDB, the GNU Debugger.
2    Copyright 1991, 1994, 1999, 2000, 2003, 2005, 2006, 2010, 2012, 2015
3    Free Software Foundation, Inc.
4 
5 This file is part of GDB.
6 
7 This program is free software; you can redistribute it and/or modify
8 it under the terms of the GNU General Public License as published by
9 the Free Software Foundation; either version 2 of the License, or
10 (at your option) any later version.
11 
12 This program is distributed in the hope that it will be useful,
13 but WITHOUT ANY WARRANTY; without even the implied warranty of
14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
15 GNU General Public License for more details.
16 
17 You should have received a copy of the GNU General Public License
18 along with this program; if not, write to the Free Software
19 Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA 02110-1301, USA.  */
20 
21 /* This is needed to pick up the NAN macro on some systems.  */
22 #ifndef _GNU_SOURCE
23 #define _GNU_SOURCE
24 #endif
25 
26 #ifdef HAVE_CONFIG_H
27 #include "config.h"
28 #endif
29 
30 #include <math.h>
31 
32 #ifdef HAVE_STRING_H
33 #include <string.h>
34 #endif
35 
36 /* On some platforms, <float.h> provides DBL_QNAN.  */
37 #ifdef STDC_HEADERS
38 #include <float.h>
39 #endif
40 
41 #include "ansidecl.h"
42 #include "libiberty.h"
43 #include "floatformat.h"
44 
45 #ifndef INFINITY
46 #ifdef HUGE_VAL
47 #define INFINITY HUGE_VAL
48 #else
49 #define INFINITY (1.0 / 0.0)
50 #endif
51 #endif
52 
53 #ifndef NAN
54 #ifdef DBL_QNAN
55 #define NAN DBL_QNAN
56 #else
57 #define NAN (0.0 / 0.0)
58 #endif
59 #endif
60 
61 static int mant_bits_set (const struct floatformat *, const unsigned char *);
62 static unsigned long get_field (const unsigned char *,
63                                 enum floatformat_byteorders,
64                                 unsigned int,
65                                 unsigned int,
66                                 unsigned int);
67 static int floatformat_always_valid (const struct floatformat *fmt,
68                                      const void *from);
69 
70 static int
71 floatformat_always_valid (const struct floatformat *fmt ATTRIBUTE_UNUSED,
72                           const void *from ATTRIBUTE_UNUSED)
73 {
74   return 1;
75 }
76 
77 /* The odds that CHAR_BIT will be anything but 8 are low enough that I'm not
78    going to bother with trying to muck around with whether it is defined in
79    a system header, what we do if not, etc.  */
80 #define FLOATFORMAT_CHAR_BIT 8
81 
82 /* floatformats for IEEE half, single and double, big and little endian.  */
83 const struct floatformat floatformat_ieee_half_big =
84 {
85   floatformat_big, 16, 0, 1, 5, 15, 31, 6, 10,
86   floatformat_intbit_no,
87   "floatformat_ieee_half_big",
88   floatformat_always_valid,
89   NULL
90 };
91 const struct floatformat floatformat_ieee_half_little =
92 {
93   floatformat_little, 16, 0, 1, 5, 15, 31, 6, 10,
94   floatformat_intbit_no,
95   "floatformat_ieee_half_little",
96   floatformat_always_valid,
97   NULL
98 };
99 const struct floatformat floatformat_ieee_single_big =
100 {
101   floatformat_big, 32, 0, 1, 8, 127, 255, 9, 23,
102   floatformat_intbit_no,
103   "floatformat_ieee_single_big",
104   floatformat_always_valid,
105   NULL
106 };
107 const struct floatformat floatformat_ieee_single_little =
108 {
109   floatformat_little, 32, 0, 1, 8, 127, 255, 9, 23,
110   floatformat_intbit_no,
111   "floatformat_ieee_single_little",
112   floatformat_always_valid,
113   NULL
114 };
115 const struct floatformat floatformat_ieee_double_big =
116 {
117   floatformat_big, 64, 0, 1, 11, 1023, 2047, 12, 52,
118   floatformat_intbit_no,
119   "floatformat_ieee_double_big",
120   floatformat_always_valid,
121   NULL
122 };
123 const struct floatformat floatformat_ieee_double_little =
124 {
125   floatformat_little, 64, 0, 1, 11, 1023, 2047, 12, 52,
126   floatformat_intbit_no,
127   "floatformat_ieee_double_little",
128   floatformat_always_valid,
129   NULL
130 };
131 
132 /* floatformat for IEEE double, little endian byte order, with big endian word
133    ordering, as on the ARM.  */
134 
135 const struct floatformat floatformat_ieee_double_littlebyte_bigword =
136 {
137   floatformat_littlebyte_bigword, 64, 0, 1, 11, 1023, 2047, 12, 52,
138   floatformat_intbit_no,
139   "floatformat_ieee_double_littlebyte_bigword",
140   floatformat_always_valid,
141   NULL
142 };
143 
144 /* floatformat for VAX.  Not quite IEEE, but close enough.  */
145 
146 const struct floatformat floatformat_vax_f =
147 {
148   floatformat_vax, 32, 0, 1, 8, 129, 0, 9, 23,
149   floatformat_intbit_no,
150   "floatformat_vax_f",
151   floatformat_always_valid,
152   NULL
153 };
154 const struct floatformat floatformat_vax_d =
155 {
156   floatformat_vax, 64, 0, 1, 8, 129, 0, 9, 55,
157   floatformat_intbit_no,
158   "floatformat_vax_d",
159   floatformat_always_valid,
160   NULL
161 };
162 const struct floatformat floatformat_vax_g =
163 {
164   floatformat_vax, 64, 0, 1, 11, 1025, 0, 12, 52,
165   floatformat_intbit_no,
166   "floatformat_vax_g",
167   floatformat_always_valid,
168   NULL
169 };
170 
171 static int floatformat_i387_ext_is_valid (const struct floatformat *fmt,
172 					  const void *from);
173 
174 static int
175 floatformat_i387_ext_is_valid (const struct floatformat *fmt, const void *from)
176 {
177   /* In the i387 double-extended format, if the exponent is all ones,
178      then the integer bit must be set.  If the exponent is neither 0
179      nor ~0, the intbit must also be set.  Only if the exponent is
180      zero can it be zero, and then it must be zero.  */
181   unsigned long exponent, int_bit;
182   const unsigned char *ufrom = (const unsigned char *) from;
183 
184   exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
185 			fmt->exp_start, fmt->exp_len);
186   int_bit = get_field (ufrom, fmt->byteorder, fmt->totalsize,
187 		       fmt->man_start, 1);
188 
189   if ((exponent == 0) != (int_bit == 0))
190     return 0;
191   else
192     return 1;
193 }
194 
195 const struct floatformat floatformat_i387_ext =
196 {
197   floatformat_little, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
198   floatformat_intbit_yes,
199   "floatformat_i387_ext",
200   floatformat_i387_ext_is_valid,
201   NULL
202 };
203 const struct floatformat floatformat_m68881_ext =
204 {
205   /* Note that the bits from 16 to 31 are unused.  */
206   floatformat_big, 96, 0, 1, 15, 0x3fff, 0x7fff, 32, 64,
207   floatformat_intbit_yes,
208   "floatformat_m68881_ext",
209   floatformat_always_valid,
210   NULL
211 };
212 const struct floatformat floatformat_i960_ext =
213 {
214   /* Note that the bits from 0 to 15 are unused.  */
215   floatformat_little, 96, 16, 17, 15, 0x3fff, 0x7fff, 32, 64,
216   floatformat_intbit_yes,
217   "floatformat_i960_ext",
218   floatformat_always_valid,
219   NULL
220 };
221 const struct floatformat floatformat_m88110_ext =
222 {
223   floatformat_big, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
224   floatformat_intbit_yes,
225   "floatformat_m88110_ext",
226   floatformat_always_valid,
227   NULL
228 };
229 const struct floatformat floatformat_m88110_harris_ext =
230 {
231   /* Harris uses raw format 128 bytes long, but the number is just an ieee
232      double, and the last 64 bits are wasted. */
233   floatformat_big,128, 0, 1, 11,  0x3ff,  0x7ff, 12, 52,
234   floatformat_intbit_no,
235   "floatformat_m88110_ext_harris",
236   floatformat_always_valid,
237   NULL
238 };
239 const struct floatformat floatformat_arm_ext_big =
240 {
241   /* Bits 1 to 16 are unused.  */
242   floatformat_big, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
243   floatformat_intbit_yes,
244   "floatformat_arm_ext_big",
245   floatformat_always_valid,
246   NULL
247 };
248 const struct floatformat floatformat_arm_ext_littlebyte_bigword =
249 {
250   /* Bits 1 to 16 are unused.  */
251   floatformat_littlebyte_bigword, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
252   floatformat_intbit_yes,
253   "floatformat_arm_ext_littlebyte_bigword",
254   floatformat_always_valid,
255   NULL
256 };
257 const struct floatformat floatformat_ia64_spill_big =
258 {
259   floatformat_big, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
260   floatformat_intbit_yes,
261   "floatformat_ia64_spill_big",
262   floatformat_always_valid,
263   NULL
264 };
265 const struct floatformat floatformat_ia64_spill_little =
266 {
267   floatformat_little, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
268   floatformat_intbit_yes,
269   "floatformat_ia64_spill_little",
270   floatformat_always_valid,
271   NULL
272 };
273 const struct floatformat floatformat_ia64_quad_big =
274 {
275   floatformat_big, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
276   floatformat_intbit_no,
277   "floatformat_ia64_quad_big",
278   floatformat_always_valid,
279   NULL
280 };
281 const struct floatformat floatformat_ia64_quad_little =
282 {
283   floatformat_little, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
284   floatformat_intbit_no,
285   "floatformat_ia64_quad_little",
286   floatformat_always_valid,
287   NULL
288 };
289 
290 static int
291 floatformat_ibm_long_double_is_valid (const struct floatformat *fmt,
292 				      const void *from)
293 {
294   const unsigned char *ufrom = (const unsigned char *) from;
295   const struct floatformat *hfmt = fmt->split_half;
296   long top_exp, bot_exp;
297   int top_nan = 0;
298 
299   top_exp = get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
300 		       hfmt->exp_start, hfmt->exp_len);
301   bot_exp = get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
302 		       hfmt->exp_start, hfmt->exp_len);
303 
304   if ((unsigned long) top_exp == hfmt->exp_nan)
305     top_nan = mant_bits_set (hfmt, ufrom);
306 
307   /* A NaN is valid with any low part.  */
308   if (top_nan)
309     return 1;
310 
311   /* An infinity, zero or denormal requires low part 0 (positive or
312      negative).  */
313   if ((unsigned long) top_exp == hfmt->exp_nan || top_exp == 0)
314     {
315       if (bot_exp != 0)
316 	return 0;
317 
318       return !mant_bits_set (hfmt, ufrom + 8);
319     }
320 
321   /* The top part is now a finite normal value.  The long double value
322      is the sum of the two parts, and the top part must equal the
323      result of rounding the long double value to nearest double.  Thus
324      the bottom part must be <= 0.5ulp of the top part in absolute
325      value, and if it is < 0.5ulp then the long double is definitely
326      valid.  */
327   if (bot_exp < top_exp - 53)
328     return 1;
329   if (bot_exp > top_exp - 53 && bot_exp != 0)
330     return 0;
331   if (bot_exp == 0)
332     {
333       /* The bottom part is 0 or denormal.  Determine which, and if
334 	 denormal the first two set bits.  */
335       int first_bit = -1, second_bit = -1, cur_bit;
336       for (cur_bit = 0; (unsigned int) cur_bit < hfmt->man_len; cur_bit++)
337 	if (get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
338 		       hfmt->man_start + cur_bit, 1))
339 	  {
340 	    if (first_bit == -1)
341 	      first_bit = cur_bit;
342 	    else
343 	      {
344 		second_bit = cur_bit;
345 		break;
346 	      }
347 	  }
348       /* Bottom part 0 is OK.  */
349       if (first_bit == -1)
350 	return 1;
351       /* The real exponent of the bottom part is -first_bit.  */
352       if (-first_bit < top_exp - 53)
353 	return 1;
354       if (-first_bit > top_exp - 53)
355 	return 0;
356       /* The bottom part is at least 0.5ulp of the top part.  For this
357 	 to be OK, the bottom part must be exactly 0.5ulp (i.e. no
358 	 more bits set) and the top part must have last bit 0.  */
359       if (second_bit != -1)
360 	return 0;
361       return !get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
362 			 hfmt->man_start + hfmt->man_len - 1, 1);
363     }
364   else
365     {
366       /* The bottom part is at least 0.5ulp of the top part.  For this
367 	 to be OK, it must be exactly 0.5ulp (i.e. no explicit bits
368 	 set) and the top part must have last bit 0.  */
369       if (get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
370 		     hfmt->man_start + hfmt->man_len - 1, 1))
371 	return 0;
372       return !mant_bits_set (hfmt, ufrom + 8);
373     }
374 }
375 
376 const struct floatformat floatformat_ibm_long_double_big =
377 {
378   floatformat_big, 128, 0, 1, 11, 1023, 2047, 12, 52,
379   floatformat_intbit_no,
380   "floatformat_ibm_long_double_big",
381   floatformat_ibm_long_double_is_valid,
382   &floatformat_ieee_double_big
383 };
384 
385 const struct floatformat floatformat_ibm_long_double_little =
386 {
387   floatformat_little, 128, 0, 1, 11, 1023, 2047, 12, 52,
388   floatformat_intbit_no,
389   "floatformat_ibm_long_double_little",
390   floatformat_ibm_long_double_is_valid,
391   &floatformat_ieee_double_little
392 };
393 
394 
395 #ifndef min
396 #define min(a, b) ((a) < (b) ? (a) : (b))
397 #endif
398 
399 /* Return 1 if any bits are explicitly set in the mantissa of UFROM,
400    format FMT, 0 otherwise.  */
401 static int
402 mant_bits_set (const struct floatformat *fmt, const unsigned char *ufrom)
403 {
404   unsigned int mant_bits, mant_off;
405   int mant_bits_left;
406 
407   mant_off = fmt->man_start;
408   mant_bits_left = fmt->man_len;
409   while (mant_bits_left > 0)
410     {
411       mant_bits = min (mant_bits_left, 32);
412 
413       if (get_field (ufrom, fmt->byteorder, fmt->totalsize,
414 		     mant_off, mant_bits) != 0)
415 	return 1;
416 
417       mant_off += mant_bits;
418       mant_bits_left -= mant_bits;
419     }
420   return 0;
421 }
422 
423 /* Extract a field which starts at START and is LEN bits long.  DATA and
424    TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER.  */
425 static unsigned long
426 get_field (const unsigned char *data, enum floatformat_byteorders order,
427            unsigned int total_len, unsigned int start, unsigned int len)
428 {
429   unsigned long result = 0;
430   unsigned int cur_byte;
431   int lo_bit, hi_bit, cur_bitshift = 0;
432   int nextbyte = (order == floatformat_little) ? 1 : -1;
433 
434   /* Start is in big-endian bit order!  Fix that first.  */
435   start = total_len - (start + len);
436 
437   /* Start at the least significant part of the field.  */
438   if (order == floatformat_little)
439     cur_byte = start / FLOATFORMAT_CHAR_BIT;
440   else
441     cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
442 
443   lo_bit = start % FLOATFORMAT_CHAR_BIT;
444   hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
445 
446   do
447     {
448       unsigned int shifted = *(data + cur_byte) >> lo_bit;
449       unsigned int bits = hi_bit - lo_bit;
450       unsigned int mask = (1 << bits) - 1;
451       result |= (shifted & mask) << cur_bitshift;
452       len -= bits;
453       cur_bitshift += bits;
454       cur_byte += nextbyte;
455       lo_bit = 0;
456       hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
457     }
458   while (len != 0);
459 
460   return result;
461 }
462 
463 /* Convert from FMT to a double.
464    FROM is the address of the extended float.
465    Store the double in *TO.  */
466 
467 void
468 floatformat_to_double (const struct floatformat *fmt,
469                        const void *from, double *to)
470 {
471   const unsigned char *ufrom = (const unsigned char *) from;
472   double dto;
473   long exponent;
474   unsigned long mant;
475   unsigned int mant_bits, mant_off;
476   int mant_bits_left;
477 
478   /* Split values are not handled specially, since the top half has
479      the correctly rounded double value (in the only supported case of
480      split values).  */
481 
482   exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
483 			fmt->exp_start, fmt->exp_len);
484 
485   /* If the exponent indicates a NaN, we don't have information to
486      decide what to do.  So we handle it like IEEE, except that we
487      don't try to preserve the type of NaN.  FIXME.  */
488   if ((unsigned long) exponent == fmt->exp_nan)
489     {
490       int nan = mant_bits_set (fmt, ufrom);
491 
492       /* On certain systems (such as GNU/Linux), the use of the
493 	 INFINITY macro below may generate a warning that can not be
494 	 silenced due to a bug in GCC (PR preprocessor/11931).  The
495 	 preprocessor fails to recognise the __extension__ keyword in
496 	 conjunction with the GNU/C99 extension for hexadecimal
497 	 floating point constants and will issue a warning when
498 	 compiling with -pedantic.  */
499       if (nan)
500 	dto = NAN;
501       else
502 	dto = INFINITY;
503 
504       if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
505 	dto = -dto;
506 
507       *to = dto;
508 
509       return;
510     }
511 
512   mant_bits_left = fmt->man_len;
513   mant_off = fmt->man_start;
514   dto = 0.0;
515 
516   /* Build the result algebraically.  Might go infinite, underflow, etc;
517      who cares. */
518 
519   /* For denorms use minimum exponent.  */
520   if (exponent == 0)
521     exponent = 1 - fmt->exp_bias;
522   else
523     {
524       exponent -= fmt->exp_bias;
525 
526       /* If this format uses a hidden bit, explicitly add it in now.
527 	 Otherwise, increment the exponent by one to account for the
528 	 integer bit.  */
529 
530       if (fmt->intbit == floatformat_intbit_no)
531 	dto = ldexp (1.0, exponent);
532       else
533 	exponent++;
534     }
535 
536   while (mant_bits_left > 0)
537     {
538       mant_bits = min (mant_bits_left, 32);
539 
540       mant = get_field (ufrom, fmt->byteorder, fmt->totalsize,
541 			 mant_off, mant_bits);
542 
543       dto += ldexp ((double) mant, exponent - mant_bits);
544       exponent -= mant_bits;
545       mant_off += mant_bits;
546       mant_bits_left -= mant_bits;
547     }
548 
549   /* Negate it if negative.  */
550   if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
551     dto = -dto;
552   *to = dto;
553 }
554 
555 static void put_field (unsigned char *, enum floatformat_byteorders,
556                        unsigned int,
557                        unsigned int,
558                        unsigned int,
559                        unsigned long);
560 
561 /* Set a field which starts at START and is LEN bits long.  DATA and
562    TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER.  */
563 static void
564 put_field (unsigned char *data, enum floatformat_byteorders order,
565            unsigned int total_len, unsigned int start, unsigned int len,
566            unsigned long stuff_to_put)
567 {
568   unsigned int cur_byte;
569   int lo_bit, hi_bit;
570   int nextbyte = (order == floatformat_little) ? 1 : -1;
571 
572   /* Start is in big-endian bit order!  Fix that first.  */
573   start = total_len - (start + len);
574 
575   /* Start at the least significant part of the field.  */
576   if (order == floatformat_little)
577     cur_byte = start / FLOATFORMAT_CHAR_BIT;
578   else
579     cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
580 
581   lo_bit = start % FLOATFORMAT_CHAR_BIT;
582   hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
583 
584   do
585     {
586       unsigned char *byte_ptr = data + cur_byte;
587       unsigned int bits = hi_bit - lo_bit;
588       unsigned int mask = ((1 << bits) - 1) << lo_bit;
589       *byte_ptr = (*byte_ptr & ~mask) | ((stuff_to_put << lo_bit) & mask);
590       stuff_to_put >>= bits;
591       len -= bits;
592       cur_byte += nextbyte;
593       lo_bit = 0;
594       hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
595     }
596   while (len != 0);
597 }
598 
599 /* The converse: convert the double *FROM to an extended float
600    and store where TO points.  Neither FROM nor TO have any alignment
601    restrictions.  */
602 
603 void
604 floatformat_from_double (const struct floatformat *fmt,
605                          const double *from, void *to)
606 {
607   double dfrom;
608   int exponent;
609   double mant;
610   unsigned int mant_bits, mant_off;
611   int mant_bits_left;
612   unsigned char *uto = (unsigned char *) to;
613 
614   dfrom = *from;
615   memset (uto, 0, fmt->totalsize / FLOATFORMAT_CHAR_BIT);
616 
617   /* Split values are not handled specially, since a bottom half of
618      zero is correct for any value representable as double (in the
619      only supported case of split values).  */
620 
621   /* If negative, set the sign bit.  */
622   if (dfrom < 0)
623     {
624       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1, 1);
625       dfrom = -dfrom;
626     }
627 
628   if (dfrom == 0)
629     {
630       /* 0.0.  */
631       return;
632     }
633 
634   if (dfrom != dfrom)
635     {
636       /* NaN.  */
637       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
638 		 fmt->exp_len, fmt->exp_nan);
639       /* Be sure it's not infinity, but NaN value is irrelevant.  */
640       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->man_start,
641 		 32, 1);
642       return;
643     }
644 
645   if (dfrom + dfrom == dfrom)
646     {
647       /* This can only happen for an infinite value (or zero, which we
648 	 already handled above).  */
649       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
650 		 fmt->exp_len, fmt->exp_nan);
651       return;
652     }
653 
654   mant = frexp (dfrom, &exponent);
655   if (exponent + fmt->exp_bias - 1 > 0)
656     put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
657 	       fmt->exp_len, exponent + fmt->exp_bias - 1);
658   else
659     {
660       /* Handle a denormalized number.  FIXME: What should we do for
661 	 non-IEEE formats?  */
662       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
663 		 fmt->exp_len, 0);
664       mant = ldexp (mant, exponent + fmt->exp_bias - 1);
665     }
666 
667   mant_bits_left = fmt->man_len;
668   mant_off = fmt->man_start;
669   while (mant_bits_left > 0)
670     {
671       unsigned long mant_long;
672       mant_bits = mant_bits_left < 32 ? mant_bits_left : 32;
673 
674       mant *= 4294967296.0;
675       mant_long = (unsigned long)mant;
676       mant -= mant_long;
677 
678       /* If the integer bit is implicit, and we are not creating a
679 	 denormalized number, then we need to discard it.  */
680       if ((unsigned int) mant_bits_left == fmt->man_len
681 	  && fmt->intbit == floatformat_intbit_no
682 	  && exponent + fmt->exp_bias - 1 > 0)
683 	{
684 	  mant_long &= 0x7fffffff;
685 	  mant_bits -= 1;
686 	}
687       else if (mant_bits < 32)
688 	{
689 	  /* The bits we want are in the most significant MANT_BITS bits of
690 	     mant_long.  Move them to the least significant.  */
691 	  mant_long >>= 32 - mant_bits;
692 	}
693 
694       put_field (uto, fmt->byteorder, fmt->totalsize,
695 		 mant_off, mant_bits, mant_long);
696       mant_off += mant_bits;
697       mant_bits_left -= mant_bits;
698     }
699 }
700 
701 /* Return non-zero iff the data at FROM is a valid number in format FMT.  */
702 
703 int
704 floatformat_is_valid (const struct floatformat *fmt, const void *from)
705 {
706   return fmt->is_valid (fmt, from);
707 }
708 
709 
710 #ifdef IEEE_DEBUG
711 
712 #include <stdio.h>
713 
714 /* This is to be run on a host which uses IEEE floating point.  */
715 
716 void
717 ieee_test (double n)
718 {
719   double result;
720 
721   floatformat_to_double (&floatformat_ieee_double_little, &n, &result);
722   if ((n != result && (! isnan (n) || ! isnan (result)))
723       || (n < 0 && result >= 0)
724       || (n >= 0 && result < 0))
725     printf ("Differ(to): %.20g -> %.20g\n", n, result);
726 
727   floatformat_from_double (&floatformat_ieee_double_little, &n, &result);
728   if ((n != result && (! isnan (n) || ! isnan (result)))
729       || (n < 0 && result >= 0)
730       || (n >= 0 && result < 0))
731     printf ("Differ(from): %.20g -> %.20g\n", n, result);
732 
733 #if 0
734   {
735     char exten[16];
736 
737     floatformat_from_double (&floatformat_m68881_ext, &n, exten);
738     floatformat_to_double (&floatformat_m68881_ext, exten, &result);
739     if (n != result)
740       printf ("Differ(to+from): %.20g -> %.20g\n", n, result);
741   }
742 #endif
743 
744 #if IEEE_DEBUG > 1
745   /* This is to be run on a host which uses 68881 format.  */
746   {
747     long double ex = *(long double *)exten;
748     if (ex != n)
749       printf ("Differ(from vs. extended): %.20g\n", n);
750   }
751 #endif
752 }
753 
754 int
755 main (void)
756 {
757   ieee_test (0.0);
758   ieee_test (0.5);
759   ieee_test (1.1);
760   ieee_test (256.0);
761   ieee_test (0.12345);
762   ieee_test (234235.78907234);
763   ieee_test (-512.0);
764   ieee_test (-0.004321);
765   ieee_test (1.2E-70);
766   ieee_test (1.2E-316);
767   ieee_test (4.9406564584124654E-324);
768   ieee_test (- 4.9406564584124654E-324);
769   ieee_test (- 0.0);
770   ieee_test (- INFINITY);
771   ieee_test (- NAN);
772   ieee_test (INFINITY);
773   ieee_test (NAN);
774   return 0;
775 }
776 #endif
777