floatformat.c revision 1.11 1 1.1 mrg /* IEEE floating point support routines, for GDB, the GNU Debugger.
2 1.11 mrg Copyright (C) 1991-2022 Free Software Foundation, Inc.
3 1.1 mrg
4 1.1 mrg This file is part of GDB.
5 1.1 mrg
6 1.1 mrg This program is free software; you can redistribute it and/or modify
7 1.1 mrg it under the terms of the GNU General Public License as published by
8 1.1 mrg the Free Software Foundation; either version 2 of the License, or
9 1.1 mrg (at your option) any later version.
10 1.1 mrg
11 1.1 mrg This program is distributed in the hope that it will be useful,
12 1.1 mrg but WITHOUT ANY WARRANTY; without even the implied warranty of
13 1.1 mrg MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 1.1 mrg GNU General Public License for more details.
15 1.1 mrg
16 1.1 mrg You should have received a copy of the GNU General Public License
17 1.1 mrg along with this program; if not, write to the Free Software
18 1.1 mrg Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA 02110-1301, USA. */
19 1.1 mrg
20 1.1 mrg /* This is needed to pick up the NAN macro on some systems. */
21 1.5 mrg #ifndef _GNU_SOURCE
22 1.1 mrg #define _GNU_SOURCE
23 1.5 mrg #endif
24 1.1 mrg
25 1.1 mrg #ifdef HAVE_CONFIG_H
26 1.1 mrg #include "config.h"
27 1.1 mrg #endif
28 1.1 mrg
29 1.1 mrg #include <math.h>
30 1.1 mrg
31 1.1 mrg #ifdef HAVE_STRING_H
32 1.1 mrg #include <string.h>
33 1.1 mrg #endif
34 1.1 mrg
35 1.1 mrg /* On some platforms, <float.h> provides DBL_QNAN. */
36 1.1 mrg #ifdef STDC_HEADERS
37 1.1 mrg #include <float.h>
38 1.1 mrg #endif
39 1.1 mrg
40 1.1 mrg #include "ansidecl.h"
41 1.1 mrg #include "libiberty.h"
42 1.1 mrg #include "floatformat.h"
43 1.1 mrg
44 1.1 mrg #ifndef INFINITY
45 1.1 mrg #ifdef HUGE_VAL
46 1.1 mrg #define INFINITY HUGE_VAL
47 1.1 mrg #else
48 1.1 mrg #define INFINITY (1.0 / 0.0)
49 1.1 mrg #endif
50 1.1 mrg #endif
51 1.1 mrg
52 1.1 mrg #ifndef NAN
53 1.1 mrg #ifdef DBL_QNAN
54 1.1 mrg #define NAN DBL_QNAN
55 1.1 mrg #else
56 1.10 christos #ifdef __lint__
57 1.10 christos static double zero = 0.0;
58 1.10 christos #define NAN (0.0 / zero)
59 1.10 christos #else
60 1.1 mrg #define NAN (0.0 / 0.0)
61 1.1 mrg #endif
62 1.1 mrg #endif
63 1.10 christos #endif
64 1.1 mrg
65 1.1 mrg static int mant_bits_set (const struct floatformat *, const unsigned char *);
66 1.1 mrg static unsigned long get_field (const unsigned char *,
67 1.1 mrg enum floatformat_byteorders,
68 1.1 mrg unsigned int,
69 1.1 mrg unsigned int,
70 1.1 mrg unsigned int);
71 1.1 mrg static int floatformat_always_valid (const struct floatformat *fmt,
72 1.1 mrg const void *from);
73 1.1 mrg
74 1.1 mrg static int
75 1.1 mrg floatformat_always_valid (const struct floatformat *fmt ATTRIBUTE_UNUSED,
76 1.1 mrg const void *from ATTRIBUTE_UNUSED)
77 1.1 mrg {
78 1.1 mrg return 1;
79 1.1 mrg }
80 1.1 mrg
81 1.1 mrg /* The odds that CHAR_BIT will be anything but 8 are low enough that I'm not
82 1.1 mrg going to bother with trying to muck around with whether it is defined in
83 1.1 mrg a system header, what we do if not, etc. */
84 1.1 mrg #define FLOATFORMAT_CHAR_BIT 8
85 1.1 mrg
86 1.11 mrg /* floatformats for IEEE half, single, double and quad, big and little endian. */
87 1.3 mrg const struct floatformat floatformat_ieee_half_big =
88 1.3 mrg {
89 1.3 mrg floatformat_big, 16, 0, 1, 5, 15, 31, 6, 10,
90 1.3 mrg floatformat_intbit_no,
91 1.3 mrg "floatformat_ieee_half_big",
92 1.3 mrg floatformat_always_valid,
93 1.3 mrg NULL
94 1.3 mrg };
95 1.3 mrg const struct floatformat floatformat_ieee_half_little =
96 1.3 mrg {
97 1.3 mrg floatformat_little, 16, 0, 1, 5, 15, 31, 6, 10,
98 1.3 mrg floatformat_intbit_no,
99 1.3 mrg "floatformat_ieee_half_little",
100 1.3 mrg floatformat_always_valid,
101 1.3 mrg NULL
102 1.3 mrg };
103 1.1 mrg const struct floatformat floatformat_ieee_single_big =
104 1.1 mrg {
105 1.1 mrg floatformat_big, 32, 0, 1, 8, 127, 255, 9, 23,
106 1.1 mrg floatformat_intbit_no,
107 1.1 mrg "floatformat_ieee_single_big",
108 1.1 mrg floatformat_always_valid,
109 1.1 mrg NULL
110 1.1 mrg };
111 1.1 mrg const struct floatformat floatformat_ieee_single_little =
112 1.1 mrg {
113 1.1 mrg floatformat_little, 32, 0, 1, 8, 127, 255, 9, 23,
114 1.1 mrg floatformat_intbit_no,
115 1.1 mrg "floatformat_ieee_single_little",
116 1.1 mrg floatformat_always_valid,
117 1.1 mrg NULL
118 1.1 mrg };
119 1.1 mrg const struct floatformat floatformat_ieee_double_big =
120 1.1 mrg {
121 1.1 mrg floatformat_big, 64, 0, 1, 11, 1023, 2047, 12, 52,
122 1.1 mrg floatformat_intbit_no,
123 1.1 mrg "floatformat_ieee_double_big",
124 1.1 mrg floatformat_always_valid,
125 1.1 mrg NULL
126 1.1 mrg };
127 1.1 mrg const struct floatformat floatformat_ieee_double_little =
128 1.1 mrg {
129 1.1 mrg floatformat_little, 64, 0, 1, 11, 1023, 2047, 12, 52,
130 1.1 mrg floatformat_intbit_no,
131 1.1 mrg "floatformat_ieee_double_little",
132 1.1 mrg floatformat_always_valid,
133 1.1 mrg NULL
134 1.1 mrg };
135 1.11 mrg const struct floatformat floatformat_ieee_quad_big =
136 1.11 mrg {
137 1.11 mrg floatformat_big, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
138 1.11 mrg floatformat_intbit_no,
139 1.11 mrg "floatformat_ieee_quad_big",
140 1.11 mrg floatformat_always_valid,
141 1.11 mrg NULL
142 1.11 mrg };
143 1.11 mrg const struct floatformat floatformat_ieee_quad_little =
144 1.11 mrg {
145 1.11 mrg floatformat_little, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
146 1.11 mrg floatformat_intbit_no,
147 1.11 mrg "floatformat_ieee_quad_little",
148 1.11 mrg floatformat_always_valid,
149 1.11 mrg NULL
150 1.11 mrg };
151 1.1 mrg
152 1.1 mrg /* floatformat for IEEE double, little endian byte order, with big endian word
153 1.1 mrg ordering, as on the ARM. */
154 1.1 mrg
155 1.1 mrg const struct floatformat floatformat_ieee_double_littlebyte_bigword =
156 1.1 mrg {
157 1.1 mrg floatformat_littlebyte_bigword, 64, 0, 1, 11, 1023, 2047, 12, 52,
158 1.1 mrg floatformat_intbit_no,
159 1.1 mrg "floatformat_ieee_double_littlebyte_bigword",
160 1.1 mrg floatformat_always_valid,
161 1.1 mrg NULL
162 1.1 mrg };
163 1.1 mrg
164 1.1 mrg /* floatformat for VAX. Not quite IEEE, but close enough. */
165 1.1 mrg
166 1.1 mrg const struct floatformat floatformat_vax_f =
167 1.1 mrg {
168 1.1 mrg floatformat_vax, 32, 0, 1, 8, 129, 0, 9, 23,
169 1.1 mrg floatformat_intbit_no,
170 1.1 mrg "floatformat_vax_f",
171 1.1 mrg floatformat_always_valid,
172 1.1 mrg NULL
173 1.1 mrg };
174 1.1 mrg const struct floatformat floatformat_vax_d =
175 1.1 mrg {
176 1.1 mrg floatformat_vax, 64, 0, 1, 8, 129, 0, 9, 55,
177 1.1 mrg floatformat_intbit_no,
178 1.1 mrg "floatformat_vax_d",
179 1.1 mrg floatformat_always_valid,
180 1.1 mrg NULL
181 1.1 mrg };
182 1.1 mrg const struct floatformat floatformat_vax_g =
183 1.1 mrg {
184 1.1 mrg floatformat_vax, 64, 0, 1, 11, 1025, 0, 12, 52,
185 1.1 mrg floatformat_intbit_no,
186 1.1 mrg "floatformat_vax_g",
187 1.1 mrg floatformat_always_valid,
188 1.1 mrg NULL
189 1.1 mrg };
190 1.1 mrg
191 1.1 mrg static int floatformat_i387_ext_is_valid (const struct floatformat *fmt,
192 1.1 mrg const void *from);
193 1.1 mrg
194 1.1 mrg static int
195 1.1 mrg floatformat_i387_ext_is_valid (const struct floatformat *fmt, const void *from)
196 1.1 mrg {
197 1.1 mrg /* In the i387 double-extended format, if the exponent is all ones,
198 1.1 mrg then the integer bit must be set. If the exponent is neither 0
199 1.1 mrg nor ~0, the intbit must also be set. Only if the exponent is
200 1.1 mrg zero can it be zero, and then it must be zero. */
201 1.1 mrg unsigned long exponent, int_bit;
202 1.1 mrg const unsigned char *ufrom = (const unsigned char *) from;
203 1.1 mrg
204 1.1 mrg exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
205 1.1 mrg fmt->exp_start, fmt->exp_len);
206 1.1 mrg int_bit = get_field (ufrom, fmt->byteorder, fmt->totalsize,
207 1.1 mrg fmt->man_start, 1);
208 1.1 mrg
209 1.1 mrg if ((exponent == 0) != (int_bit == 0))
210 1.1 mrg return 0;
211 1.1 mrg else
212 1.1 mrg return 1;
213 1.1 mrg }
214 1.1 mrg
215 1.1 mrg const struct floatformat floatformat_i387_ext =
216 1.1 mrg {
217 1.1 mrg floatformat_little, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
218 1.1 mrg floatformat_intbit_yes,
219 1.1 mrg "floatformat_i387_ext",
220 1.1 mrg floatformat_i387_ext_is_valid,
221 1.1 mrg NULL
222 1.1 mrg };
223 1.1 mrg const struct floatformat floatformat_m68881_ext =
224 1.1 mrg {
225 1.1 mrg /* Note that the bits from 16 to 31 are unused. */
226 1.1 mrg floatformat_big, 96, 0, 1, 15, 0x3fff, 0x7fff, 32, 64,
227 1.1 mrg floatformat_intbit_yes,
228 1.1 mrg "floatformat_m68881_ext",
229 1.1 mrg floatformat_always_valid,
230 1.1 mrg NULL
231 1.1 mrg };
232 1.1 mrg const struct floatformat floatformat_i960_ext =
233 1.1 mrg {
234 1.1 mrg /* Note that the bits from 0 to 15 are unused. */
235 1.1 mrg floatformat_little, 96, 16, 17, 15, 0x3fff, 0x7fff, 32, 64,
236 1.1 mrg floatformat_intbit_yes,
237 1.1 mrg "floatformat_i960_ext",
238 1.1 mrg floatformat_always_valid,
239 1.1 mrg NULL
240 1.1 mrg };
241 1.1 mrg const struct floatformat floatformat_m88110_ext =
242 1.1 mrg {
243 1.1 mrg floatformat_big, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
244 1.1 mrg floatformat_intbit_yes,
245 1.1 mrg "floatformat_m88110_ext",
246 1.1 mrg floatformat_always_valid,
247 1.1 mrg NULL
248 1.1 mrg };
249 1.1 mrg const struct floatformat floatformat_m88110_harris_ext =
250 1.1 mrg {
251 1.1 mrg /* Harris uses raw format 128 bytes long, but the number is just an ieee
252 1.1 mrg double, and the last 64 bits are wasted. */
253 1.1 mrg floatformat_big,128, 0, 1, 11, 0x3ff, 0x7ff, 12, 52,
254 1.1 mrg floatformat_intbit_no,
255 1.1 mrg "floatformat_m88110_ext_harris",
256 1.1 mrg floatformat_always_valid,
257 1.1 mrg NULL
258 1.1 mrg };
259 1.1 mrg const struct floatformat floatformat_arm_ext_big =
260 1.1 mrg {
261 1.1 mrg /* Bits 1 to 16 are unused. */
262 1.1 mrg floatformat_big, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
263 1.1 mrg floatformat_intbit_yes,
264 1.1 mrg "floatformat_arm_ext_big",
265 1.1 mrg floatformat_always_valid,
266 1.1 mrg NULL
267 1.1 mrg };
268 1.1 mrg const struct floatformat floatformat_arm_ext_littlebyte_bigword =
269 1.1 mrg {
270 1.1 mrg /* Bits 1 to 16 are unused. */
271 1.1 mrg floatformat_littlebyte_bigword, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
272 1.1 mrg floatformat_intbit_yes,
273 1.1 mrg "floatformat_arm_ext_littlebyte_bigword",
274 1.1 mrg floatformat_always_valid,
275 1.1 mrg NULL
276 1.1 mrg };
277 1.1 mrg const struct floatformat floatformat_ia64_spill_big =
278 1.1 mrg {
279 1.1 mrg floatformat_big, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
280 1.1 mrg floatformat_intbit_yes,
281 1.1 mrg "floatformat_ia64_spill_big",
282 1.1 mrg floatformat_always_valid,
283 1.1 mrg NULL
284 1.1 mrg };
285 1.1 mrg const struct floatformat floatformat_ia64_spill_little =
286 1.1 mrg {
287 1.1 mrg floatformat_little, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
288 1.1 mrg floatformat_intbit_yes,
289 1.1 mrg "floatformat_ia64_spill_little",
290 1.1 mrg floatformat_always_valid,
291 1.1 mrg NULL
292 1.1 mrg };
293 1.1 mrg
294 1.1 mrg static int
295 1.1 mrg floatformat_ibm_long_double_is_valid (const struct floatformat *fmt,
296 1.1 mrg const void *from)
297 1.1 mrg {
298 1.1 mrg const unsigned char *ufrom = (const unsigned char *) from;
299 1.1 mrg const struct floatformat *hfmt = fmt->split_half;
300 1.1 mrg long top_exp, bot_exp;
301 1.1 mrg int top_nan = 0;
302 1.1 mrg
303 1.1 mrg top_exp = get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
304 1.1 mrg hfmt->exp_start, hfmt->exp_len);
305 1.1 mrg bot_exp = get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
306 1.1 mrg hfmt->exp_start, hfmt->exp_len);
307 1.1 mrg
308 1.1 mrg if ((unsigned long) top_exp == hfmt->exp_nan)
309 1.1 mrg top_nan = mant_bits_set (hfmt, ufrom);
310 1.1 mrg
311 1.1 mrg /* A NaN is valid with any low part. */
312 1.1 mrg if (top_nan)
313 1.1 mrg return 1;
314 1.1 mrg
315 1.1 mrg /* An infinity, zero or denormal requires low part 0 (positive or
316 1.1 mrg negative). */
317 1.1 mrg if ((unsigned long) top_exp == hfmt->exp_nan || top_exp == 0)
318 1.1 mrg {
319 1.1 mrg if (bot_exp != 0)
320 1.1 mrg return 0;
321 1.1 mrg
322 1.1 mrg return !mant_bits_set (hfmt, ufrom + 8);
323 1.1 mrg }
324 1.1 mrg
325 1.1 mrg /* The top part is now a finite normal value. The long double value
326 1.1 mrg is the sum of the two parts, and the top part must equal the
327 1.1 mrg result of rounding the long double value to nearest double. Thus
328 1.1 mrg the bottom part must be <= 0.5ulp of the top part in absolute
329 1.1 mrg value, and if it is < 0.5ulp then the long double is definitely
330 1.1 mrg valid. */
331 1.1 mrg if (bot_exp < top_exp - 53)
332 1.1 mrg return 1;
333 1.1 mrg if (bot_exp > top_exp - 53 && bot_exp != 0)
334 1.1 mrg return 0;
335 1.1 mrg if (bot_exp == 0)
336 1.1 mrg {
337 1.1 mrg /* The bottom part is 0 or denormal. Determine which, and if
338 1.1 mrg denormal the first two set bits. */
339 1.1 mrg int first_bit = -1, second_bit = -1, cur_bit;
340 1.1 mrg for (cur_bit = 0; (unsigned int) cur_bit < hfmt->man_len; cur_bit++)
341 1.1 mrg if (get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
342 1.1 mrg hfmt->man_start + cur_bit, 1))
343 1.1 mrg {
344 1.1 mrg if (first_bit == -1)
345 1.1 mrg first_bit = cur_bit;
346 1.1 mrg else
347 1.1 mrg {
348 1.1 mrg second_bit = cur_bit;
349 1.1 mrg break;
350 1.1 mrg }
351 1.1 mrg }
352 1.1 mrg /* Bottom part 0 is OK. */
353 1.1 mrg if (first_bit == -1)
354 1.1 mrg return 1;
355 1.1 mrg /* The real exponent of the bottom part is -first_bit. */
356 1.1 mrg if (-first_bit < top_exp - 53)
357 1.1 mrg return 1;
358 1.1 mrg if (-first_bit > top_exp - 53)
359 1.1 mrg return 0;
360 1.1 mrg /* The bottom part is at least 0.5ulp of the top part. For this
361 1.1 mrg to be OK, the bottom part must be exactly 0.5ulp (i.e. no
362 1.1 mrg more bits set) and the top part must have last bit 0. */
363 1.1 mrg if (second_bit != -1)
364 1.1 mrg return 0;
365 1.1 mrg return !get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
366 1.1 mrg hfmt->man_start + hfmt->man_len - 1, 1);
367 1.1 mrg }
368 1.1 mrg else
369 1.1 mrg {
370 1.1 mrg /* The bottom part is at least 0.5ulp of the top part. For this
371 1.1 mrg to be OK, it must be exactly 0.5ulp (i.e. no explicit bits
372 1.1 mrg set) and the top part must have last bit 0. */
373 1.1 mrg if (get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
374 1.1 mrg hfmt->man_start + hfmt->man_len - 1, 1))
375 1.1 mrg return 0;
376 1.1 mrg return !mant_bits_set (hfmt, ufrom + 8);
377 1.1 mrg }
378 1.1 mrg }
379 1.1 mrg
380 1.4 mrg const struct floatformat floatformat_ibm_long_double_big =
381 1.1 mrg {
382 1.1 mrg floatformat_big, 128, 0, 1, 11, 1023, 2047, 12, 52,
383 1.1 mrg floatformat_intbit_no,
384 1.4 mrg "floatformat_ibm_long_double_big",
385 1.1 mrg floatformat_ibm_long_double_is_valid,
386 1.1 mrg &floatformat_ieee_double_big
387 1.1 mrg };
388 1.4 mrg
389 1.4 mrg const struct floatformat floatformat_ibm_long_double_little =
390 1.4 mrg {
391 1.4 mrg floatformat_little, 128, 0, 1, 11, 1023, 2047, 12, 52,
392 1.4 mrg floatformat_intbit_no,
393 1.4 mrg "floatformat_ibm_long_double_little",
394 1.4 mrg floatformat_ibm_long_double_is_valid,
395 1.4 mrg &floatformat_ieee_double_little
396 1.4 mrg };
397 1.11 mrg
398 1.11 mrg const struct floatformat floatformat_bfloat16_big =
399 1.11 mrg {
400 1.11 mrg floatformat_big, 16, 0, 1, 8, 127, 255, 9, 7,
401 1.11 mrg floatformat_intbit_no,
402 1.11 mrg "floatformat_bfloat16_big",
403 1.11 mrg floatformat_always_valid,
404 1.11 mrg NULL
405 1.11 mrg };
406 1.11 mrg
407 1.11 mrg const struct floatformat floatformat_bfloat16_little =
408 1.11 mrg {
409 1.11 mrg floatformat_little, 16, 0, 1, 8, 127, 255, 9, 7,
410 1.11 mrg floatformat_intbit_no,
411 1.11 mrg "floatformat_bfloat16_little",
412 1.11 mrg floatformat_always_valid,
413 1.11 mrg NULL
414 1.11 mrg };
415 1.1 mrg
416 1.1 mrg #ifndef min
417 1.1 mrg #define min(a, b) ((a) < (b) ? (a) : (b))
418 1.1 mrg #endif
419 1.1 mrg
420 1.1 mrg /* Return 1 if any bits are explicitly set in the mantissa of UFROM,
421 1.1 mrg format FMT, 0 otherwise. */
422 1.1 mrg static int
423 1.1 mrg mant_bits_set (const struct floatformat *fmt, const unsigned char *ufrom)
424 1.1 mrg {
425 1.1 mrg unsigned int mant_bits, mant_off;
426 1.1 mrg int mant_bits_left;
427 1.1 mrg
428 1.1 mrg mant_off = fmt->man_start;
429 1.1 mrg mant_bits_left = fmt->man_len;
430 1.1 mrg while (mant_bits_left > 0)
431 1.1 mrg {
432 1.1 mrg mant_bits = min (mant_bits_left, 32);
433 1.1 mrg
434 1.1 mrg if (get_field (ufrom, fmt->byteorder, fmt->totalsize,
435 1.1 mrg mant_off, mant_bits) != 0)
436 1.1 mrg return 1;
437 1.1 mrg
438 1.1 mrg mant_off += mant_bits;
439 1.1 mrg mant_bits_left -= mant_bits;
440 1.1 mrg }
441 1.1 mrg return 0;
442 1.1 mrg }
443 1.1 mrg
444 1.1 mrg /* Extract a field which starts at START and is LEN bits long. DATA and
445 1.1 mrg TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER. */
446 1.1 mrg static unsigned long
447 1.1 mrg get_field (const unsigned char *data, enum floatformat_byteorders order,
448 1.1 mrg unsigned int total_len, unsigned int start, unsigned int len)
449 1.1 mrg {
450 1.1 mrg unsigned long result = 0;
451 1.1 mrg unsigned int cur_byte;
452 1.1 mrg int lo_bit, hi_bit, cur_bitshift = 0;
453 1.1 mrg int nextbyte = (order == floatformat_little) ? 1 : -1;
454 1.1 mrg
455 1.1 mrg /* Start is in big-endian bit order! Fix that first. */
456 1.1 mrg start = total_len - (start + len);
457 1.1 mrg
458 1.1 mrg /* Start at the least significant part of the field. */
459 1.1 mrg if (order == floatformat_little)
460 1.1 mrg cur_byte = start / FLOATFORMAT_CHAR_BIT;
461 1.1 mrg else
462 1.1 mrg cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
463 1.1 mrg
464 1.1 mrg lo_bit = start % FLOATFORMAT_CHAR_BIT;
465 1.1 mrg hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
466 1.1 mrg
467 1.1 mrg do
468 1.1 mrg {
469 1.1 mrg unsigned int shifted = *(data + cur_byte) >> lo_bit;
470 1.1 mrg unsigned int bits = hi_bit - lo_bit;
471 1.1 mrg unsigned int mask = (1 << bits) - 1;
472 1.1 mrg result |= (shifted & mask) << cur_bitshift;
473 1.1 mrg len -= bits;
474 1.1 mrg cur_bitshift += bits;
475 1.1 mrg cur_byte += nextbyte;
476 1.1 mrg lo_bit = 0;
477 1.1 mrg hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
478 1.1 mrg }
479 1.1 mrg while (len != 0);
480 1.1 mrg
481 1.1 mrg return result;
482 1.1 mrg }
483 1.1 mrg
484 1.1 mrg /* Convert from FMT to a double.
485 1.1 mrg FROM is the address of the extended float.
486 1.1 mrg Store the double in *TO. */
487 1.1 mrg
488 1.1 mrg void
489 1.1 mrg floatformat_to_double (const struct floatformat *fmt,
490 1.1 mrg const void *from, double *to)
491 1.1 mrg {
492 1.1 mrg const unsigned char *ufrom = (const unsigned char *) from;
493 1.1 mrg double dto;
494 1.1 mrg long exponent;
495 1.1 mrg unsigned long mant;
496 1.1 mrg unsigned int mant_bits, mant_off;
497 1.1 mrg int mant_bits_left;
498 1.1 mrg
499 1.1 mrg /* Split values are not handled specially, since the top half has
500 1.1 mrg the correctly rounded double value (in the only supported case of
501 1.1 mrg split values). */
502 1.1 mrg
503 1.1 mrg exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
504 1.1 mrg fmt->exp_start, fmt->exp_len);
505 1.1 mrg
506 1.1 mrg /* If the exponent indicates a NaN, we don't have information to
507 1.1 mrg decide what to do. So we handle it like IEEE, except that we
508 1.1 mrg don't try to preserve the type of NaN. FIXME. */
509 1.1 mrg if ((unsigned long) exponent == fmt->exp_nan)
510 1.1 mrg {
511 1.1 mrg int nan = mant_bits_set (fmt, ufrom);
512 1.1 mrg
513 1.1 mrg /* On certain systems (such as GNU/Linux), the use of the
514 1.8 mrg INFINITY macro below may generate a warning that cannot be
515 1.1 mrg silenced due to a bug in GCC (PR preprocessor/11931). The
516 1.1 mrg preprocessor fails to recognise the __extension__ keyword in
517 1.1 mrg conjunction with the GNU/C99 extension for hexadecimal
518 1.1 mrg floating point constants and will issue a warning when
519 1.1 mrg compiling with -pedantic. */
520 1.1 mrg if (nan)
521 1.1 mrg dto = NAN;
522 1.1 mrg else
523 1.2 mrg #ifdef __vax__
524 1.2 mrg dto = HUGE_VAL;
525 1.2 mrg #else
526 1.1 mrg dto = INFINITY;
527 1.2 mrg #endif
528 1.1 mrg
529 1.1 mrg if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
530 1.1 mrg dto = -dto;
531 1.1 mrg
532 1.1 mrg *to = dto;
533 1.1 mrg
534 1.1 mrg return;
535 1.1 mrg }
536 1.1 mrg
537 1.1 mrg mant_bits_left = fmt->man_len;
538 1.1 mrg mant_off = fmt->man_start;
539 1.1 mrg dto = 0.0;
540 1.1 mrg
541 1.1 mrg /* Build the result algebraically. Might go infinite, underflow, etc;
542 1.1 mrg who cares. */
543 1.1 mrg
544 1.3 mrg /* For denorms use minimum exponent. */
545 1.3 mrg if (exponent == 0)
546 1.3 mrg exponent = 1 - fmt->exp_bias;
547 1.3 mrg else
548 1.3 mrg {
549 1.3 mrg exponent -= fmt->exp_bias;
550 1.3 mrg
551 1.3 mrg /* If this format uses a hidden bit, explicitly add it in now.
552 1.3 mrg Otherwise, increment the exponent by one to account for the
553 1.3 mrg integer bit. */
554 1.1 mrg
555 1.1 mrg if (fmt->intbit == floatformat_intbit_no)
556 1.1 mrg dto = ldexp (1.0, exponent);
557 1.1 mrg else
558 1.1 mrg exponent++;
559 1.1 mrg }
560 1.1 mrg
561 1.1 mrg while (mant_bits_left > 0)
562 1.1 mrg {
563 1.1 mrg mant_bits = min (mant_bits_left, 32);
564 1.1 mrg
565 1.1 mrg mant = get_field (ufrom, fmt->byteorder, fmt->totalsize,
566 1.1 mrg mant_off, mant_bits);
567 1.1 mrg
568 1.3 mrg dto += ldexp ((double) mant, exponent - mant_bits);
569 1.3 mrg exponent -= mant_bits;
570 1.1 mrg mant_off += mant_bits;
571 1.1 mrg mant_bits_left -= mant_bits;
572 1.1 mrg }
573 1.1 mrg
574 1.1 mrg /* Negate it if negative. */
575 1.1 mrg if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
576 1.1 mrg dto = -dto;
577 1.1 mrg *to = dto;
578 1.1 mrg }
579 1.1 mrg
580 1.1 mrg static void put_field (unsigned char *, enum floatformat_byteorders,
582 1.1 mrg unsigned int,
583 1.1 mrg unsigned int,
584 1.1 mrg unsigned int,
585 1.1 mrg unsigned long);
586 1.1 mrg
587 1.1 mrg /* Set a field which starts at START and is LEN bits long. DATA and
588 1.1 mrg TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER. */
589 1.1 mrg static void
590 1.1 mrg put_field (unsigned char *data, enum floatformat_byteorders order,
591 1.1 mrg unsigned int total_len, unsigned int start, unsigned int len,
592 1.1 mrg unsigned long stuff_to_put)
593 1.1 mrg {
594 1.1 mrg unsigned int cur_byte;
595 1.1 mrg int lo_bit, hi_bit;
596 1.1 mrg int nextbyte = (order == floatformat_little) ? 1 : -1;
597 1.1 mrg
598 1.1 mrg /* Start is in big-endian bit order! Fix that first. */
599 1.1 mrg start = total_len - (start + len);
600 1.1 mrg
601 1.1 mrg /* Start at the least significant part of the field. */
602 1.1 mrg if (order == floatformat_little)
603 1.1 mrg cur_byte = start / FLOATFORMAT_CHAR_BIT;
604 1.1 mrg else
605 1.1 mrg cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
606 1.1 mrg
607 1.1 mrg lo_bit = start % FLOATFORMAT_CHAR_BIT;
608 1.1 mrg hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
609 1.1 mrg
610 1.1 mrg do
611 1.1 mrg {
612 1.1 mrg unsigned char *byte_ptr = data + cur_byte;
613 1.1 mrg unsigned int bits = hi_bit - lo_bit;
614 1.1 mrg unsigned int mask = ((1 << bits) - 1) << lo_bit;
615 1.1 mrg *byte_ptr = (*byte_ptr & ~mask) | ((stuff_to_put << lo_bit) & mask);
616 1.1 mrg stuff_to_put >>= bits;
617 1.1 mrg len -= bits;
618 1.1 mrg cur_byte += nextbyte;
619 1.1 mrg lo_bit = 0;
620 1.1 mrg hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
621 1.1 mrg }
622 1.1 mrg while (len != 0);
623 1.1 mrg }
624 1.1 mrg
625 1.1 mrg /* The converse: convert the double *FROM to an extended float
626 1.1 mrg and store where TO points. Neither FROM nor TO have any alignment
627 1.1 mrg restrictions. */
628 1.1 mrg
629 1.1 mrg void
630 1.1 mrg floatformat_from_double (const struct floatformat *fmt,
631 1.1 mrg const double *from, void *to)
632 1.1 mrg {
633 1.1 mrg double dfrom;
634 1.1 mrg int exponent;
635 1.1 mrg double mant;
636 1.1 mrg unsigned int mant_bits, mant_off;
637 1.1 mrg int mant_bits_left;
638 1.1 mrg unsigned char *uto = (unsigned char *) to;
639 1.1 mrg
640 1.1 mrg dfrom = *from;
641 1.1 mrg memset (uto, 0, fmt->totalsize / FLOATFORMAT_CHAR_BIT);
642 1.1 mrg
643 1.1 mrg /* Split values are not handled specially, since a bottom half of
644 1.1 mrg zero is correct for any value representable as double (in the
645 1.1 mrg only supported case of split values). */
646 1.1 mrg
647 1.1 mrg /* If negative, set the sign bit. */
648 1.1 mrg if (dfrom < 0)
649 1.1 mrg {
650 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1, 1);
651 1.1 mrg dfrom = -dfrom;
652 1.1 mrg }
653 1.1 mrg
654 1.1 mrg if (dfrom == 0)
655 1.1 mrg {
656 1.1 mrg /* 0.0. */
657 1.1 mrg return;
658 1.1 mrg }
659 1.1 mrg
660 1.1 mrg if (dfrom != dfrom)
661 1.1 mrg {
662 1.1 mrg /* NaN. */
663 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
664 1.1 mrg fmt->exp_len, fmt->exp_nan);
665 1.1 mrg /* Be sure it's not infinity, but NaN value is irrelevant. */
666 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->man_start,
667 1.1 mrg 32, 1);
668 1.1 mrg return;
669 1.1 mrg }
670 1.1 mrg
671 1.1 mrg if (dfrom + dfrom == dfrom)
672 1.1 mrg {
673 1.1 mrg /* This can only happen for an infinite value (or zero, which we
674 1.1 mrg already handled above). */
675 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
676 1.1 mrg fmt->exp_len, fmt->exp_nan);
677 1.1 mrg return;
678 1.1 mrg }
679 1.1 mrg
680 1.1 mrg mant = frexp (dfrom, &exponent);
681 1.1 mrg if (exponent + fmt->exp_bias - 1 > 0)
682 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
683 1.1 mrg fmt->exp_len, exponent + fmt->exp_bias - 1);
684 1.1 mrg else
685 1.1 mrg {
686 1.1 mrg /* Handle a denormalized number. FIXME: What should we do for
687 1.1 mrg non-IEEE formats? */
688 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
689 1.1 mrg fmt->exp_len, 0);
690 1.1 mrg mant = ldexp (mant, exponent + fmt->exp_bias - 1);
691 1.1 mrg }
692 1.1 mrg
693 1.1 mrg mant_bits_left = fmt->man_len;
694 1.1 mrg mant_off = fmt->man_start;
695 1.1 mrg while (mant_bits_left > 0)
696 1.1 mrg {
697 1.1 mrg unsigned long mant_long;
698 1.1 mrg mant_bits = mant_bits_left < 32 ? mant_bits_left : 32;
699 1.1 mrg
700 1.1 mrg mant *= 4294967296.0;
701 1.1 mrg mant_long = (unsigned long)mant;
702 1.1 mrg mant -= mant_long;
703 1.1 mrg
704 1.1 mrg /* If the integer bit is implicit, and we are not creating a
705 1.1 mrg denormalized number, then we need to discard it. */
706 1.1 mrg if ((unsigned int) mant_bits_left == fmt->man_len
707 1.1 mrg && fmt->intbit == floatformat_intbit_no
708 1.1 mrg && exponent + fmt->exp_bias - 1 > 0)
709 1.1 mrg {
710 1.1 mrg mant_long &= 0x7fffffff;
711 1.1 mrg mant_bits -= 1;
712 1.1 mrg }
713 1.1 mrg else if (mant_bits < 32)
714 1.1 mrg {
715 1.1 mrg /* The bits we want are in the most significant MANT_BITS bits of
716 1.1 mrg mant_long. Move them to the least significant. */
717 1.1 mrg mant_long >>= 32 - mant_bits;
718 1.1 mrg }
719 1.1 mrg
720 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize,
721 1.1 mrg mant_off, mant_bits, mant_long);
722 1.1 mrg mant_off += mant_bits;
723 1.1 mrg mant_bits_left -= mant_bits;
724 1.1 mrg }
725 1.1 mrg }
726 1.1 mrg
727 1.1 mrg /* Return non-zero iff the data at FROM is a valid number in format FMT. */
728 1.1 mrg
729 1.1 mrg int
730 1.1 mrg floatformat_is_valid (const struct floatformat *fmt, const void *from)
731 1.1 mrg {
732 1.1 mrg return fmt->is_valid (fmt, from);
733 1.1 mrg }
734 1.1 mrg
735 1.1 mrg
736 1.1 mrg #ifdef IEEE_DEBUG
737 1.1 mrg
738 1.1 mrg #include <stdio.h>
739 1.1 mrg
740 1.1 mrg /* This is to be run on a host which uses IEEE floating point. */
741 1.1 mrg
742 1.1 mrg void
743 1.1 mrg ieee_test (double n)
744 1.1 mrg {
745 1.1 mrg double result;
746 1.1 mrg
747 1.1 mrg floatformat_to_double (&floatformat_ieee_double_little, &n, &result);
748 1.1 mrg if ((n != result && (! isnan (n) || ! isnan (result)))
749 1.1 mrg || (n < 0 && result >= 0)
750 1.1 mrg || (n >= 0 && result < 0))
751 1.1 mrg printf ("Differ(to): %.20g -> %.20g\n", n, result);
752 1.1 mrg
753 1.1 mrg floatformat_from_double (&floatformat_ieee_double_little, &n, &result);
754 1.1 mrg if ((n != result && (! isnan (n) || ! isnan (result)))
755 1.1 mrg || (n < 0 && result >= 0)
756 1.1 mrg || (n >= 0 && result < 0))
757 1.1 mrg printf ("Differ(from): %.20g -> %.20g\n", n, result);
758 1.1 mrg
759 1.1 mrg #if 0
760 1.1 mrg {
761 1.1 mrg char exten[16];
762 1.1 mrg
763 1.1 mrg floatformat_from_double (&floatformat_m68881_ext, &n, exten);
764 1.1 mrg floatformat_to_double (&floatformat_m68881_ext, exten, &result);
765 1.1 mrg if (n != result)
766 1.1 mrg printf ("Differ(to+from): %.20g -> %.20g\n", n, result);
767 1.1 mrg }
768 1.1 mrg #endif
769 1.1 mrg
770 1.1 mrg #if IEEE_DEBUG > 1
771 1.1 mrg /* This is to be run on a host which uses 68881 format. */
772 1.1 mrg {
773 1.1 mrg long double ex = *(long double *)exten;
774 1.1 mrg if (ex != n)
775 1.1 mrg printf ("Differ(from vs. extended): %.20g\n", n);
776 1.1 mrg }
777 1.1 mrg #endif
778 1.1 mrg }
779 1.1 mrg
780 1.1 mrg int
781 1.1 mrg main (void)
782 1.1 mrg {
783 1.1 mrg ieee_test (0.0);
784 1.3 mrg ieee_test (0.5);
785 1.1 mrg ieee_test (1.1);
786 1.1 mrg ieee_test (256.0);
787 1.1 mrg ieee_test (0.12345);
788 1.1 mrg ieee_test (234235.78907234);
789 1.1 mrg ieee_test (-512.0);
790 1.1 mrg ieee_test (-0.004321);
791 1.1 mrg ieee_test (1.2E-70);
792 1.1 mrg ieee_test (1.2E-316);
793 1.1 mrg ieee_test (4.9406564584124654E-324);
794 1.1 mrg ieee_test (- 4.9406564584124654E-324);
795 1.1 mrg ieee_test (- 0.0);
796 1.1 mrg ieee_test (- INFINITY);
797 1.1 mrg ieee_test (- NAN);
798 1.1 mrg ieee_test (INFINITY);
799 1.1 mrg ieee_test (NAN);
800 1.1 mrg return 0;
801 1.1 mrg }
802 #endif
803