floatformat.c revision 1.1.1.4 1 1.1 mrg /* IEEE floating point support routines, for GDB, the GNU Debugger.
2 1.1.1.4 mrg Copyright 1991, 1994, 1999, 2000, 2003, 2005, 2006, 2010, 2012, 2015
3 1.1 mrg Free Software Foundation, Inc.
4 1.1 mrg
5 1.1 mrg This file is part of GDB.
6 1.1 mrg
7 1.1 mrg This program is free software; you can redistribute it and/or modify
8 1.1 mrg it under the terms of the GNU General Public License as published by
9 1.1 mrg the Free Software Foundation; either version 2 of the License, or
10 1.1 mrg (at your option) any later version.
11 1.1 mrg
12 1.1 mrg This program is distributed in the hope that it will be useful,
13 1.1 mrg but WITHOUT ANY WARRANTY; without even the implied warranty of
14 1.1 mrg MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 1.1 mrg GNU General Public License for more details.
16 1.1 mrg
17 1.1 mrg You should have received a copy of the GNU General Public License
18 1.1 mrg along with this program; if not, write to the Free Software
19 1.1 mrg Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA 02110-1301, USA. */
20 1.1 mrg
21 1.1 mrg /* This is needed to pick up the NAN macro on some systems. */
22 1.1.1.4 mrg #ifndef _GNU_SOURCE
23 1.1 mrg #define _GNU_SOURCE
24 1.1.1.4 mrg #endif
25 1.1 mrg
26 1.1 mrg #ifdef HAVE_CONFIG_H
27 1.1 mrg #include "config.h"
28 1.1 mrg #endif
29 1.1 mrg
30 1.1 mrg #include <math.h>
31 1.1 mrg
32 1.1 mrg #ifdef HAVE_STRING_H
33 1.1 mrg #include <string.h>
34 1.1 mrg #endif
35 1.1 mrg
36 1.1 mrg /* On some platforms, <float.h> provides DBL_QNAN. */
37 1.1 mrg #ifdef STDC_HEADERS
38 1.1 mrg #include <float.h>
39 1.1 mrg #endif
40 1.1 mrg
41 1.1 mrg #include "ansidecl.h"
42 1.1 mrg #include "libiberty.h"
43 1.1 mrg #include "floatformat.h"
44 1.1 mrg
45 1.1 mrg #ifndef INFINITY
46 1.1 mrg #ifdef HUGE_VAL
47 1.1 mrg #define INFINITY HUGE_VAL
48 1.1 mrg #else
49 1.1 mrg #define INFINITY (1.0 / 0.0)
50 1.1 mrg #endif
51 1.1 mrg #endif
52 1.1 mrg
53 1.1 mrg #ifndef NAN
54 1.1 mrg #ifdef DBL_QNAN
55 1.1 mrg #define NAN DBL_QNAN
56 1.1 mrg #else
57 1.1 mrg #define NAN (0.0 / 0.0)
58 1.1 mrg #endif
59 1.1 mrg #endif
60 1.1 mrg
61 1.1 mrg static int mant_bits_set (const struct floatformat *, const unsigned char *);
62 1.1 mrg static unsigned long get_field (const unsigned char *,
63 1.1 mrg enum floatformat_byteorders,
64 1.1 mrg unsigned int,
65 1.1 mrg unsigned int,
66 1.1 mrg unsigned int);
67 1.1 mrg static int floatformat_always_valid (const struct floatformat *fmt,
68 1.1 mrg const void *from);
69 1.1 mrg
70 1.1 mrg static int
71 1.1 mrg floatformat_always_valid (const struct floatformat *fmt ATTRIBUTE_UNUSED,
72 1.1 mrg const void *from ATTRIBUTE_UNUSED)
73 1.1 mrg {
74 1.1 mrg return 1;
75 1.1 mrg }
76 1.1 mrg
77 1.1 mrg /* The odds that CHAR_BIT will be anything but 8 are low enough that I'm not
78 1.1 mrg going to bother with trying to muck around with whether it is defined in
79 1.1 mrg a system header, what we do if not, etc. */
80 1.1 mrg #define FLOATFORMAT_CHAR_BIT 8
81 1.1 mrg
82 1.1.1.2 mrg /* floatformats for IEEE half, single and double, big and little endian. */
83 1.1.1.2 mrg const struct floatformat floatformat_ieee_half_big =
84 1.1.1.2 mrg {
85 1.1.1.2 mrg floatformat_big, 16, 0, 1, 5, 15, 31, 6, 10,
86 1.1.1.2 mrg floatformat_intbit_no,
87 1.1.1.2 mrg "floatformat_ieee_half_big",
88 1.1.1.2 mrg floatformat_always_valid,
89 1.1.1.2 mrg NULL
90 1.1.1.2 mrg };
91 1.1.1.2 mrg const struct floatformat floatformat_ieee_half_little =
92 1.1.1.2 mrg {
93 1.1.1.2 mrg floatformat_little, 16, 0, 1, 5, 15, 31, 6, 10,
94 1.1.1.2 mrg floatformat_intbit_no,
95 1.1.1.2 mrg "floatformat_ieee_half_little",
96 1.1.1.2 mrg floatformat_always_valid,
97 1.1.1.2 mrg NULL
98 1.1.1.2 mrg };
99 1.1 mrg const struct floatformat floatformat_ieee_single_big =
100 1.1 mrg {
101 1.1 mrg floatformat_big, 32, 0, 1, 8, 127, 255, 9, 23,
102 1.1 mrg floatformat_intbit_no,
103 1.1 mrg "floatformat_ieee_single_big",
104 1.1 mrg floatformat_always_valid,
105 1.1 mrg NULL
106 1.1 mrg };
107 1.1 mrg const struct floatformat floatformat_ieee_single_little =
108 1.1 mrg {
109 1.1 mrg floatformat_little, 32, 0, 1, 8, 127, 255, 9, 23,
110 1.1 mrg floatformat_intbit_no,
111 1.1 mrg "floatformat_ieee_single_little",
112 1.1 mrg floatformat_always_valid,
113 1.1 mrg NULL
114 1.1 mrg };
115 1.1 mrg const struct floatformat floatformat_ieee_double_big =
116 1.1 mrg {
117 1.1 mrg floatformat_big, 64, 0, 1, 11, 1023, 2047, 12, 52,
118 1.1 mrg floatformat_intbit_no,
119 1.1 mrg "floatformat_ieee_double_big",
120 1.1 mrg floatformat_always_valid,
121 1.1 mrg NULL
122 1.1 mrg };
123 1.1 mrg const struct floatformat floatformat_ieee_double_little =
124 1.1 mrg {
125 1.1 mrg floatformat_little, 64, 0, 1, 11, 1023, 2047, 12, 52,
126 1.1 mrg floatformat_intbit_no,
127 1.1 mrg "floatformat_ieee_double_little",
128 1.1 mrg floatformat_always_valid,
129 1.1 mrg NULL
130 1.1 mrg };
131 1.1 mrg
132 1.1 mrg /* floatformat for IEEE double, little endian byte order, with big endian word
133 1.1 mrg ordering, as on the ARM. */
134 1.1 mrg
135 1.1 mrg const struct floatformat floatformat_ieee_double_littlebyte_bigword =
136 1.1 mrg {
137 1.1 mrg floatformat_littlebyte_bigword, 64, 0, 1, 11, 1023, 2047, 12, 52,
138 1.1 mrg floatformat_intbit_no,
139 1.1 mrg "floatformat_ieee_double_littlebyte_bigword",
140 1.1 mrg floatformat_always_valid,
141 1.1 mrg NULL
142 1.1 mrg };
143 1.1 mrg
144 1.1 mrg /* floatformat for VAX. Not quite IEEE, but close enough. */
145 1.1 mrg
146 1.1 mrg const struct floatformat floatformat_vax_f =
147 1.1 mrg {
148 1.1 mrg floatformat_vax, 32, 0, 1, 8, 129, 0, 9, 23,
149 1.1 mrg floatformat_intbit_no,
150 1.1 mrg "floatformat_vax_f",
151 1.1 mrg floatformat_always_valid,
152 1.1 mrg NULL
153 1.1 mrg };
154 1.1 mrg const struct floatformat floatformat_vax_d =
155 1.1 mrg {
156 1.1 mrg floatformat_vax, 64, 0, 1, 8, 129, 0, 9, 55,
157 1.1 mrg floatformat_intbit_no,
158 1.1 mrg "floatformat_vax_d",
159 1.1 mrg floatformat_always_valid,
160 1.1 mrg NULL
161 1.1 mrg };
162 1.1 mrg const struct floatformat floatformat_vax_g =
163 1.1 mrg {
164 1.1 mrg floatformat_vax, 64, 0, 1, 11, 1025, 0, 12, 52,
165 1.1 mrg floatformat_intbit_no,
166 1.1 mrg "floatformat_vax_g",
167 1.1 mrg floatformat_always_valid,
168 1.1 mrg NULL
169 1.1 mrg };
170 1.1 mrg
171 1.1 mrg static int floatformat_i387_ext_is_valid (const struct floatformat *fmt,
172 1.1 mrg const void *from);
173 1.1 mrg
174 1.1 mrg static int
175 1.1 mrg floatformat_i387_ext_is_valid (const struct floatformat *fmt, const void *from)
176 1.1 mrg {
177 1.1 mrg /* In the i387 double-extended format, if the exponent is all ones,
178 1.1 mrg then the integer bit must be set. If the exponent is neither 0
179 1.1 mrg nor ~0, the intbit must also be set. Only if the exponent is
180 1.1 mrg zero can it be zero, and then it must be zero. */
181 1.1 mrg unsigned long exponent, int_bit;
182 1.1 mrg const unsigned char *ufrom = (const unsigned char *) from;
183 1.1 mrg
184 1.1 mrg exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
185 1.1 mrg fmt->exp_start, fmt->exp_len);
186 1.1 mrg int_bit = get_field (ufrom, fmt->byteorder, fmt->totalsize,
187 1.1 mrg fmt->man_start, 1);
188 1.1 mrg
189 1.1 mrg if ((exponent == 0) != (int_bit == 0))
190 1.1 mrg return 0;
191 1.1 mrg else
192 1.1 mrg return 1;
193 1.1 mrg }
194 1.1 mrg
195 1.1 mrg const struct floatformat floatformat_i387_ext =
196 1.1 mrg {
197 1.1 mrg floatformat_little, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
198 1.1 mrg floatformat_intbit_yes,
199 1.1 mrg "floatformat_i387_ext",
200 1.1 mrg floatformat_i387_ext_is_valid,
201 1.1 mrg NULL
202 1.1 mrg };
203 1.1 mrg const struct floatformat floatformat_m68881_ext =
204 1.1 mrg {
205 1.1 mrg /* Note that the bits from 16 to 31 are unused. */
206 1.1 mrg floatformat_big, 96, 0, 1, 15, 0x3fff, 0x7fff, 32, 64,
207 1.1 mrg floatformat_intbit_yes,
208 1.1 mrg "floatformat_m68881_ext",
209 1.1 mrg floatformat_always_valid,
210 1.1 mrg NULL
211 1.1 mrg };
212 1.1 mrg const struct floatformat floatformat_i960_ext =
213 1.1 mrg {
214 1.1 mrg /* Note that the bits from 0 to 15 are unused. */
215 1.1 mrg floatformat_little, 96, 16, 17, 15, 0x3fff, 0x7fff, 32, 64,
216 1.1 mrg floatformat_intbit_yes,
217 1.1 mrg "floatformat_i960_ext",
218 1.1 mrg floatformat_always_valid,
219 1.1 mrg NULL
220 1.1 mrg };
221 1.1 mrg const struct floatformat floatformat_m88110_ext =
222 1.1 mrg {
223 1.1 mrg floatformat_big, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
224 1.1 mrg floatformat_intbit_yes,
225 1.1 mrg "floatformat_m88110_ext",
226 1.1 mrg floatformat_always_valid,
227 1.1 mrg NULL
228 1.1 mrg };
229 1.1 mrg const struct floatformat floatformat_m88110_harris_ext =
230 1.1 mrg {
231 1.1 mrg /* Harris uses raw format 128 bytes long, but the number is just an ieee
232 1.1 mrg double, and the last 64 bits are wasted. */
233 1.1 mrg floatformat_big,128, 0, 1, 11, 0x3ff, 0x7ff, 12, 52,
234 1.1 mrg floatformat_intbit_no,
235 1.1 mrg "floatformat_m88110_ext_harris",
236 1.1 mrg floatformat_always_valid,
237 1.1 mrg NULL
238 1.1 mrg };
239 1.1 mrg const struct floatformat floatformat_arm_ext_big =
240 1.1 mrg {
241 1.1 mrg /* Bits 1 to 16 are unused. */
242 1.1 mrg floatformat_big, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
243 1.1 mrg floatformat_intbit_yes,
244 1.1 mrg "floatformat_arm_ext_big",
245 1.1 mrg floatformat_always_valid,
246 1.1 mrg NULL
247 1.1 mrg };
248 1.1 mrg const struct floatformat floatformat_arm_ext_littlebyte_bigword =
249 1.1 mrg {
250 1.1 mrg /* Bits 1 to 16 are unused. */
251 1.1 mrg floatformat_littlebyte_bigword, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
252 1.1 mrg floatformat_intbit_yes,
253 1.1 mrg "floatformat_arm_ext_littlebyte_bigword",
254 1.1 mrg floatformat_always_valid,
255 1.1 mrg NULL
256 1.1 mrg };
257 1.1 mrg const struct floatformat floatformat_ia64_spill_big =
258 1.1 mrg {
259 1.1 mrg floatformat_big, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
260 1.1 mrg floatformat_intbit_yes,
261 1.1 mrg "floatformat_ia64_spill_big",
262 1.1 mrg floatformat_always_valid,
263 1.1 mrg NULL
264 1.1 mrg };
265 1.1 mrg const struct floatformat floatformat_ia64_spill_little =
266 1.1 mrg {
267 1.1 mrg floatformat_little, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
268 1.1 mrg floatformat_intbit_yes,
269 1.1 mrg "floatformat_ia64_spill_little",
270 1.1 mrg floatformat_always_valid,
271 1.1 mrg NULL
272 1.1 mrg };
273 1.1 mrg const struct floatformat floatformat_ia64_quad_big =
274 1.1 mrg {
275 1.1 mrg floatformat_big, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
276 1.1 mrg floatformat_intbit_no,
277 1.1 mrg "floatformat_ia64_quad_big",
278 1.1 mrg floatformat_always_valid,
279 1.1 mrg NULL
280 1.1 mrg };
281 1.1 mrg const struct floatformat floatformat_ia64_quad_little =
282 1.1 mrg {
283 1.1 mrg floatformat_little, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
284 1.1 mrg floatformat_intbit_no,
285 1.1 mrg "floatformat_ia64_quad_little",
286 1.1 mrg floatformat_always_valid,
287 1.1 mrg NULL
288 1.1 mrg };
289 1.1 mrg
290 1.1 mrg static int
291 1.1 mrg floatformat_ibm_long_double_is_valid (const struct floatformat *fmt,
292 1.1 mrg const void *from)
293 1.1 mrg {
294 1.1 mrg const unsigned char *ufrom = (const unsigned char *) from;
295 1.1 mrg const struct floatformat *hfmt = fmt->split_half;
296 1.1 mrg long top_exp, bot_exp;
297 1.1 mrg int top_nan = 0;
298 1.1 mrg
299 1.1 mrg top_exp = get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
300 1.1 mrg hfmt->exp_start, hfmt->exp_len);
301 1.1 mrg bot_exp = get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
302 1.1 mrg hfmt->exp_start, hfmt->exp_len);
303 1.1 mrg
304 1.1 mrg if ((unsigned long) top_exp == hfmt->exp_nan)
305 1.1 mrg top_nan = mant_bits_set (hfmt, ufrom);
306 1.1 mrg
307 1.1 mrg /* A NaN is valid with any low part. */
308 1.1 mrg if (top_nan)
309 1.1 mrg return 1;
310 1.1 mrg
311 1.1 mrg /* An infinity, zero or denormal requires low part 0 (positive or
312 1.1 mrg negative). */
313 1.1 mrg if ((unsigned long) top_exp == hfmt->exp_nan || top_exp == 0)
314 1.1 mrg {
315 1.1 mrg if (bot_exp != 0)
316 1.1 mrg return 0;
317 1.1 mrg
318 1.1 mrg return !mant_bits_set (hfmt, ufrom + 8);
319 1.1 mrg }
320 1.1 mrg
321 1.1 mrg /* The top part is now a finite normal value. The long double value
322 1.1 mrg is the sum of the two parts, and the top part must equal the
323 1.1 mrg result of rounding the long double value to nearest double. Thus
324 1.1 mrg the bottom part must be <= 0.5ulp of the top part in absolute
325 1.1 mrg value, and if it is < 0.5ulp then the long double is definitely
326 1.1 mrg valid. */
327 1.1 mrg if (bot_exp < top_exp - 53)
328 1.1 mrg return 1;
329 1.1 mrg if (bot_exp > top_exp - 53 && bot_exp != 0)
330 1.1 mrg return 0;
331 1.1 mrg if (bot_exp == 0)
332 1.1 mrg {
333 1.1 mrg /* The bottom part is 0 or denormal. Determine which, and if
334 1.1 mrg denormal the first two set bits. */
335 1.1 mrg int first_bit = -1, second_bit = -1, cur_bit;
336 1.1 mrg for (cur_bit = 0; (unsigned int) cur_bit < hfmt->man_len; cur_bit++)
337 1.1 mrg if (get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
338 1.1 mrg hfmt->man_start + cur_bit, 1))
339 1.1 mrg {
340 1.1 mrg if (first_bit == -1)
341 1.1 mrg first_bit = cur_bit;
342 1.1 mrg else
343 1.1 mrg {
344 1.1 mrg second_bit = cur_bit;
345 1.1 mrg break;
346 1.1 mrg }
347 1.1 mrg }
348 1.1 mrg /* Bottom part 0 is OK. */
349 1.1 mrg if (first_bit == -1)
350 1.1 mrg return 1;
351 1.1 mrg /* The real exponent of the bottom part is -first_bit. */
352 1.1 mrg if (-first_bit < top_exp - 53)
353 1.1 mrg return 1;
354 1.1 mrg if (-first_bit > top_exp - 53)
355 1.1 mrg return 0;
356 1.1 mrg /* The bottom part is at least 0.5ulp of the top part. For this
357 1.1 mrg to be OK, the bottom part must be exactly 0.5ulp (i.e. no
358 1.1 mrg more bits set) and the top part must have last bit 0. */
359 1.1 mrg if (second_bit != -1)
360 1.1 mrg return 0;
361 1.1 mrg return !get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
362 1.1 mrg hfmt->man_start + hfmt->man_len - 1, 1);
363 1.1 mrg }
364 1.1 mrg else
365 1.1 mrg {
366 1.1 mrg /* The bottom part is at least 0.5ulp of the top part. For this
367 1.1 mrg to be OK, it must be exactly 0.5ulp (i.e. no explicit bits
368 1.1 mrg set) and the top part must have last bit 0. */
369 1.1 mrg if (get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
370 1.1 mrg hfmt->man_start + hfmt->man_len - 1, 1))
371 1.1 mrg return 0;
372 1.1 mrg return !mant_bits_set (hfmt, ufrom + 8);
373 1.1 mrg }
374 1.1 mrg }
375 1.1 mrg
376 1.1.1.3 mrg const struct floatformat floatformat_ibm_long_double_big =
377 1.1 mrg {
378 1.1 mrg floatformat_big, 128, 0, 1, 11, 1023, 2047, 12, 52,
379 1.1 mrg floatformat_intbit_no,
380 1.1.1.3 mrg "floatformat_ibm_long_double_big",
381 1.1 mrg floatformat_ibm_long_double_is_valid,
382 1.1 mrg &floatformat_ieee_double_big
383 1.1 mrg };
384 1.1.1.3 mrg
385 1.1.1.3 mrg const struct floatformat floatformat_ibm_long_double_little =
386 1.1.1.3 mrg {
387 1.1.1.3 mrg floatformat_little, 128, 0, 1, 11, 1023, 2047, 12, 52,
388 1.1.1.3 mrg floatformat_intbit_no,
389 1.1.1.3 mrg "floatformat_ibm_long_double_little",
390 1.1.1.3 mrg floatformat_ibm_long_double_is_valid,
391 1.1.1.3 mrg &floatformat_ieee_double_little
392 1.1.1.3 mrg };
393 1.1 mrg
394 1.1 mrg
396 1.1 mrg #ifndef min
397 1.1 mrg #define min(a, b) ((a) < (b) ? (a) : (b))
398 1.1 mrg #endif
399 1.1 mrg
400 1.1 mrg /* Return 1 if any bits are explicitly set in the mantissa of UFROM,
401 1.1 mrg format FMT, 0 otherwise. */
402 1.1 mrg static int
403 1.1 mrg mant_bits_set (const struct floatformat *fmt, const unsigned char *ufrom)
404 1.1 mrg {
405 1.1 mrg unsigned int mant_bits, mant_off;
406 1.1 mrg int mant_bits_left;
407 1.1 mrg
408 1.1 mrg mant_off = fmt->man_start;
409 1.1 mrg mant_bits_left = fmt->man_len;
410 1.1 mrg while (mant_bits_left > 0)
411 1.1 mrg {
412 1.1 mrg mant_bits = min (mant_bits_left, 32);
413 1.1 mrg
414 1.1 mrg if (get_field (ufrom, fmt->byteorder, fmt->totalsize,
415 1.1 mrg mant_off, mant_bits) != 0)
416 1.1 mrg return 1;
417 1.1 mrg
418 1.1 mrg mant_off += mant_bits;
419 1.1 mrg mant_bits_left -= mant_bits;
420 1.1 mrg }
421 1.1 mrg return 0;
422 1.1 mrg }
423 1.1 mrg
424 1.1 mrg /* Extract a field which starts at START and is LEN bits long. DATA and
425 1.1 mrg TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER. */
426 1.1 mrg static unsigned long
427 1.1 mrg get_field (const unsigned char *data, enum floatformat_byteorders order,
428 1.1 mrg unsigned int total_len, unsigned int start, unsigned int len)
429 1.1 mrg {
430 1.1 mrg unsigned long result = 0;
431 1.1 mrg unsigned int cur_byte;
432 1.1 mrg int lo_bit, hi_bit, cur_bitshift = 0;
433 1.1 mrg int nextbyte = (order == floatformat_little) ? 1 : -1;
434 1.1 mrg
435 1.1 mrg /* Start is in big-endian bit order! Fix that first. */
436 1.1 mrg start = total_len - (start + len);
437 1.1 mrg
438 1.1 mrg /* Start at the least significant part of the field. */
439 1.1 mrg if (order == floatformat_little)
440 1.1 mrg cur_byte = start / FLOATFORMAT_CHAR_BIT;
441 1.1 mrg else
442 1.1 mrg cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
443 1.1 mrg
444 1.1 mrg lo_bit = start % FLOATFORMAT_CHAR_BIT;
445 1.1 mrg hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
446 1.1 mrg
447 1.1 mrg do
448 1.1 mrg {
449 1.1 mrg unsigned int shifted = *(data + cur_byte) >> lo_bit;
450 1.1 mrg unsigned int bits = hi_bit - lo_bit;
451 1.1 mrg unsigned int mask = (1 << bits) - 1;
452 1.1 mrg result |= (shifted & mask) << cur_bitshift;
453 1.1 mrg len -= bits;
454 1.1 mrg cur_bitshift += bits;
455 1.1 mrg cur_byte += nextbyte;
456 1.1 mrg lo_bit = 0;
457 1.1 mrg hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
458 1.1 mrg }
459 1.1 mrg while (len != 0);
460 1.1 mrg
461 1.1 mrg return result;
462 1.1 mrg }
463 1.1 mrg
464 1.1 mrg /* Convert from FMT to a double.
465 1.1 mrg FROM is the address of the extended float.
466 1.1 mrg Store the double in *TO. */
467 1.1 mrg
468 1.1 mrg void
469 1.1 mrg floatformat_to_double (const struct floatformat *fmt,
470 1.1 mrg const void *from, double *to)
471 1.1 mrg {
472 1.1 mrg const unsigned char *ufrom = (const unsigned char *) from;
473 1.1 mrg double dto;
474 1.1 mrg long exponent;
475 1.1 mrg unsigned long mant;
476 1.1 mrg unsigned int mant_bits, mant_off;
477 1.1 mrg int mant_bits_left;
478 1.1 mrg
479 1.1 mrg /* Split values are not handled specially, since the top half has
480 1.1 mrg the correctly rounded double value (in the only supported case of
481 1.1 mrg split values). */
482 1.1 mrg
483 1.1 mrg exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
484 1.1 mrg fmt->exp_start, fmt->exp_len);
485 1.1 mrg
486 1.1 mrg /* If the exponent indicates a NaN, we don't have information to
487 1.1 mrg decide what to do. So we handle it like IEEE, except that we
488 1.1 mrg don't try to preserve the type of NaN. FIXME. */
489 1.1 mrg if ((unsigned long) exponent == fmt->exp_nan)
490 1.1 mrg {
491 1.1 mrg int nan = mant_bits_set (fmt, ufrom);
492 1.1 mrg
493 1.1 mrg /* On certain systems (such as GNU/Linux), the use of the
494 1.1 mrg INFINITY macro below may generate a warning that can not be
495 1.1 mrg silenced due to a bug in GCC (PR preprocessor/11931). The
496 1.1 mrg preprocessor fails to recognise the __extension__ keyword in
497 1.1 mrg conjunction with the GNU/C99 extension for hexadecimal
498 1.1 mrg floating point constants and will issue a warning when
499 1.1 mrg compiling with -pedantic. */
500 1.1 mrg if (nan)
501 1.1 mrg dto = NAN;
502 1.1 mrg else
503 1.1 mrg #ifdef __vax__
504 1.1 mrg dto = HUGE_VAL;
505 1.1 mrg #else
506 1.1 mrg dto = INFINITY;
507 1.1 mrg #endif
508 1.1 mrg
509 1.1 mrg if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
510 1.1 mrg dto = -dto;
511 1.1 mrg
512 1.1 mrg *to = dto;
513 1.1 mrg
514 1.1 mrg return;
515 1.1 mrg }
516 1.1 mrg
517 1.1 mrg mant_bits_left = fmt->man_len;
518 1.1 mrg mant_off = fmt->man_start;
519 1.1 mrg dto = 0.0;
520 1.1 mrg
521 1.1 mrg /* Build the result algebraically. Might go infinite, underflow, etc;
522 1.1 mrg who cares. */
523 1.1.1.2 mrg
524 1.1.1.2 mrg /* For denorms use minimum exponent. */
525 1.1.1.2 mrg if (exponent == 0)
526 1.1.1.2 mrg exponent = 1 - fmt->exp_bias;
527 1.1 mrg else
528 1.1.1.2 mrg {
529 1.1.1.2 mrg exponent -= fmt->exp_bias;
530 1.1.1.2 mrg
531 1.1.1.2 mrg /* If this format uses a hidden bit, explicitly add it in now.
532 1.1.1.2 mrg Otherwise, increment the exponent by one to account for the
533 1.1.1.2 mrg integer bit. */
534 1.1 mrg
535 1.1 mrg if (fmt->intbit == floatformat_intbit_no)
536 1.1 mrg dto = ldexp (1.0, exponent);
537 1.1 mrg else
538 1.1 mrg exponent++;
539 1.1 mrg }
540 1.1 mrg
541 1.1 mrg while (mant_bits_left > 0)
542 1.1 mrg {
543 1.1 mrg mant_bits = min (mant_bits_left, 32);
544 1.1 mrg
545 1.1 mrg mant = get_field (ufrom, fmt->byteorder, fmt->totalsize,
546 1.1 mrg mant_off, mant_bits);
547 1.1.1.2 mrg
548 1.1.1.2 mrg dto += ldexp ((double) mant, exponent - mant_bits);
549 1.1 mrg exponent -= mant_bits;
550 1.1 mrg mant_off += mant_bits;
551 1.1 mrg mant_bits_left -= mant_bits;
552 1.1 mrg }
553 1.1 mrg
554 1.1 mrg /* Negate it if negative. */
555 1.1 mrg if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
556 1.1 mrg dto = -dto;
557 1.1 mrg *to = dto;
558 1.1 mrg }
559 1.1 mrg
560 1.1 mrg static void put_field (unsigned char *, enum floatformat_byteorders,
562 1.1 mrg unsigned int,
563 1.1 mrg unsigned int,
564 1.1 mrg unsigned int,
565 1.1 mrg unsigned long);
566 1.1 mrg
567 1.1 mrg /* Set a field which starts at START and is LEN bits long. DATA and
568 1.1 mrg TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER. */
569 1.1 mrg static void
570 1.1 mrg put_field (unsigned char *data, enum floatformat_byteorders order,
571 1.1 mrg unsigned int total_len, unsigned int start, unsigned int len,
572 1.1 mrg unsigned long stuff_to_put)
573 1.1 mrg {
574 1.1 mrg unsigned int cur_byte;
575 1.1 mrg int lo_bit, hi_bit;
576 1.1 mrg int nextbyte = (order == floatformat_little) ? 1 : -1;
577 1.1 mrg
578 1.1 mrg /* Start is in big-endian bit order! Fix that first. */
579 1.1 mrg start = total_len - (start + len);
580 1.1 mrg
581 1.1 mrg /* Start at the least significant part of the field. */
582 1.1 mrg if (order == floatformat_little)
583 1.1 mrg cur_byte = start / FLOATFORMAT_CHAR_BIT;
584 1.1 mrg else
585 1.1 mrg cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
586 1.1 mrg
587 1.1 mrg lo_bit = start % FLOATFORMAT_CHAR_BIT;
588 1.1 mrg hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
589 1.1 mrg
590 1.1 mrg do
591 1.1 mrg {
592 1.1 mrg unsigned char *byte_ptr = data + cur_byte;
593 1.1 mrg unsigned int bits = hi_bit - lo_bit;
594 1.1 mrg unsigned int mask = ((1 << bits) - 1) << lo_bit;
595 1.1 mrg *byte_ptr = (*byte_ptr & ~mask) | ((stuff_to_put << lo_bit) & mask);
596 1.1 mrg stuff_to_put >>= bits;
597 1.1 mrg len -= bits;
598 1.1 mrg cur_byte += nextbyte;
599 1.1 mrg lo_bit = 0;
600 1.1 mrg hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
601 1.1 mrg }
602 1.1 mrg while (len != 0);
603 1.1 mrg }
604 1.1 mrg
605 1.1 mrg /* The converse: convert the double *FROM to an extended float
606 1.1 mrg and store where TO points. Neither FROM nor TO have any alignment
607 1.1 mrg restrictions. */
608 1.1 mrg
609 1.1 mrg void
610 1.1 mrg floatformat_from_double (const struct floatformat *fmt,
611 1.1 mrg const double *from, void *to)
612 1.1 mrg {
613 1.1 mrg double dfrom;
614 1.1 mrg int exponent;
615 1.1 mrg double mant;
616 1.1 mrg unsigned int mant_bits, mant_off;
617 1.1 mrg int mant_bits_left;
618 1.1 mrg unsigned char *uto = (unsigned char *) to;
619 1.1 mrg
620 1.1 mrg dfrom = *from;
621 1.1 mrg memset (uto, 0, fmt->totalsize / FLOATFORMAT_CHAR_BIT);
622 1.1 mrg
623 1.1 mrg /* Split values are not handled specially, since a bottom half of
624 1.1 mrg zero is correct for any value representable as double (in the
625 1.1 mrg only supported case of split values). */
626 1.1 mrg
627 1.1 mrg /* If negative, set the sign bit. */
628 1.1 mrg if (dfrom < 0)
629 1.1 mrg {
630 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1, 1);
631 1.1 mrg dfrom = -dfrom;
632 1.1 mrg }
633 1.1 mrg
634 1.1 mrg if (dfrom == 0)
635 1.1 mrg {
636 1.1 mrg /* 0.0. */
637 1.1 mrg return;
638 1.1 mrg }
639 1.1 mrg
640 1.1 mrg if (dfrom != dfrom)
641 1.1 mrg {
642 1.1 mrg /* NaN. */
643 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
644 1.1 mrg fmt->exp_len, fmt->exp_nan);
645 1.1 mrg /* Be sure it's not infinity, but NaN value is irrelevant. */
646 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->man_start,
647 1.1 mrg 32, 1);
648 1.1 mrg return;
649 1.1 mrg }
650 1.1 mrg
651 1.1 mrg if (dfrom + dfrom == dfrom)
652 1.1 mrg {
653 1.1 mrg /* This can only happen for an infinite value (or zero, which we
654 1.1 mrg already handled above). */
655 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
656 1.1 mrg fmt->exp_len, fmt->exp_nan);
657 1.1 mrg return;
658 1.1 mrg }
659 1.1 mrg
660 1.1 mrg mant = frexp (dfrom, &exponent);
661 1.1 mrg if (exponent + fmt->exp_bias - 1 > 0)
662 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
663 1.1 mrg fmt->exp_len, exponent + fmt->exp_bias - 1);
664 1.1 mrg else
665 1.1 mrg {
666 1.1 mrg /* Handle a denormalized number. FIXME: What should we do for
667 1.1 mrg non-IEEE formats? */
668 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
669 1.1 mrg fmt->exp_len, 0);
670 1.1 mrg mant = ldexp (mant, exponent + fmt->exp_bias - 1);
671 1.1 mrg }
672 1.1 mrg
673 1.1 mrg mant_bits_left = fmt->man_len;
674 1.1 mrg mant_off = fmt->man_start;
675 1.1 mrg while (mant_bits_left > 0)
676 1.1 mrg {
677 1.1 mrg unsigned long mant_long;
678 1.1 mrg mant_bits = mant_bits_left < 32 ? mant_bits_left : 32;
679 1.1 mrg
680 1.1 mrg mant *= 4294967296.0;
681 1.1 mrg mant_long = (unsigned long)mant;
682 1.1 mrg mant -= mant_long;
683 1.1 mrg
684 1.1 mrg /* If the integer bit is implicit, and we are not creating a
685 1.1 mrg denormalized number, then we need to discard it. */
686 1.1 mrg if ((unsigned int) mant_bits_left == fmt->man_len
687 1.1 mrg && fmt->intbit == floatformat_intbit_no
688 1.1 mrg && exponent + fmt->exp_bias - 1 > 0)
689 1.1 mrg {
690 1.1 mrg mant_long &= 0x7fffffff;
691 1.1 mrg mant_bits -= 1;
692 1.1 mrg }
693 1.1 mrg else if (mant_bits < 32)
694 1.1 mrg {
695 1.1 mrg /* The bits we want are in the most significant MANT_BITS bits of
696 1.1 mrg mant_long. Move them to the least significant. */
697 1.1 mrg mant_long >>= 32 - mant_bits;
698 1.1 mrg }
699 1.1 mrg
700 1.1 mrg put_field (uto, fmt->byteorder, fmt->totalsize,
701 1.1 mrg mant_off, mant_bits, mant_long);
702 1.1 mrg mant_off += mant_bits;
703 1.1 mrg mant_bits_left -= mant_bits;
704 1.1 mrg }
705 1.1 mrg }
706 1.1 mrg
707 1.1 mrg /* Return non-zero iff the data at FROM is a valid number in format FMT. */
708 1.1 mrg
709 1.1 mrg int
710 1.1 mrg floatformat_is_valid (const struct floatformat *fmt, const void *from)
711 1.1 mrg {
712 1.1 mrg return fmt->is_valid (fmt, from);
713 1.1 mrg }
714 1.1 mrg
715 1.1 mrg
716 1.1 mrg #ifdef IEEE_DEBUG
717 1.1 mrg
718 1.1 mrg #include <stdio.h>
719 1.1 mrg
720 1.1 mrg /* This is to be run on a host which uses IEEE floating point. */
721 1.1 mrg
722 1.1 mrg void
723 1.1 mrg ieee_test (double n)
724 1.1 mrg {
725 1.1 mrg double result;
726 1.1 mrg
727 1.1 mrg floatformat_to_double (&floatformat_ieee_double_little, &n, &result);
728 1.1 mrg if ((n != result && (! isnan (n) || ! isnan (result)))
729 1.1 mrg || (n < 0 && result >= 0)
730 1.1 mrg || (n >= 0 && result < 0))
731 1.1 mrg printf ("Differ(to): %.20g -> %.20g\n", n, result);
732 1.1 mrg
733 1.1 mrg floatformat_from_double (&floatformat_ieee_double_little, &n, &result);
734 1.1 mrg if ((n != result && (! isnan (n) || ! isnan (result)))
735 1.1 mrg || (n < 0 && result >= 0)
736 1.1 mrg || (n >= 0 && result < 0))
737 1.1 mrg printf ("Differ(from): %.20g -> %.20g\n", n, result);
738 1.1 mrg
739 1.1 mrg #if 0
740 1.1 mrg {
741 1.1 mrg char exten[16];
742 1.1 mrg
743 1.1 mrg floatformat_from_double (&floatformat_m68881_ext, &n, exten);
744 1.1 mrg floatformat_to_double (&floatformat_m68881_ext, exten, &result);
745 1.1 mrg if (n != result)
746 1.1 mrg printf ("Differ(to+from): %.20g -> %.20g\n", n, result);
747 1.1 mrg }
748 1.1 mrg #endif
749 1.1 mrg
750 1.1 mrg #if IEEE_DEBUG > 1
751 1.1 mrg /* This is to be run on a host which uses 68881 format. */
752 1.1 mrg {
753 1.1 mrg long double ex = *(long double *)exten;
754 1.1 mrg if (ex != n)
755 1.1 mrg printf ("Differ(from vs. extended): %.20g\n", n);
756 1.1 mrg }
757 1.1 mrg #endif
758 1.1 mrg }
759 1.1 mrg
760 1.1 mrg int
761 1.1 mrg main (void)
762 1.1 mrg {
763 1.1.1.2 mrg ieee_test (0.0);
764 1.1 mrg ieee_test (0.5);
765 1.1 mrg ieee_test (1.1);
766 1.1 mrg ieee_test (256.0);
767 1.1 mrg ieee_test (0.12345);
768 1.1 mrg ieee_test (234235.78907234);
769 1.1 mrg ieee_test (-512.0);
770 1.1 mrg ieee_test (-0.004321);
771 1.1 mrg ieee_test (1.2E-70);
772 1.1 mrg ieee_test (1.2E-316);
773 1.1 mrg ieee_test (4.9406564584124654E-324);
774 1.1 mrg ieee_test (- 4.9406564584124654E-324);
775 1.1 mrg ieee_test (- 0.0);
776 1.1 mrg ieee_test (- INFINITY);
777 1.1 mrg ieee_test (- NAN);
778 1.1 mrg ieee_test (INFINITY);
779 1.1 mrg ieee_test (NAN);
780 1.1 mrg return 0;
781 }
782 #endif
783