floatformat.c revision 1.5 1 1.1 skrll /* IEEE floating point support routines, for GDB, the GNU Debugger.
2 1.5 christos Copyright 1991, 1994, 1999, 2000, 2003, 2005, 2006, 2010, 2012, 2015
3 1.1 skrll Free Software Foundation, Inc.
4 1.1 skrll
5 1.1 skrll This file is part of GDB.
6 1.1 skrll
7 1.1 skrll This program is free software; you can redistribute it and/or modify
8 1.1 skrll it under the terms of the GNU General Public License as published by
9 1.1 skrll the Free Software Foundation; either version 2 of the License, or
10 1.1 skrll (at your option) any later version.
11 1.1 skrll
12 1.1 skrll This program is distributed in the hope that it will be useful,
13 1.1 skrll but WITHOUT ANY WARRANTY; without even the implied warranty of
14 1.1 skrll MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 1.1 skrll GNU General Public License for more details.
16 1.1 skrll
17 1.1 skrll You should have received a copy of the GNU General Public License
18 1.1 skrll along with this program; if not, write to the Free Software
19 1.1 skrll Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA 02110-1301, USA. */
20 1.1 skrll
21 1.1 skrll /* This is needed to pick up the NAN macro on some systems. */
22 1.5 christos #ifndef _GNU_SOURCE
23 1.1 skrll #define _GNU_SOURCE
24 1.5 christos #endif
25 1.1 skrll
26 1.1 skrll #ifdef HAVE_CONFIG_H
27 1.1 skrll #include "config.h"
28 1.1 skrll #endif
29 1.1 skrll
30 1.1 skrll #include <math.h>
31 1.1 skrll
32 1.1 skrll #ifdef HAVE_STRING_H
33 1.1 skrll #include <string.h>
34 1.1 skrll #endif
35 1.1 skrll
36 1.1 skrll /* On some platforms, <float.h> provides DBL_QNAN. */
37 1.1 skrll #ifdef STDC_HEADERS
38 1.1 skrll #include <float.h>
39 1.1 skrll #endif
40 1.1 skrll
41 1.1 skrll #include "ansidecl.h"
42 1.1 skrll #include "libiberty.h"
43 1.1 skrll #include "floatformat.h"
44 1.1 skrll
45 1.1 skrll #ifndef INFINITY
46 1.1 skrll #ifdef HUGE_VAL
47 1.1 skrll #define INFINITY HUGE_VAL
48 1.1 skrll #else
49 1.1 skrll #define INFINITY (1.0 / 0.0)
50 1.1 skrll #endif
51 1.1 skrll #endif
52 1.1 skrll
53 1.1 skrll #ifndef NAN
54 1.1 skrll #ifdef DBL_QNAN
55 1.1 skrll #define NAN DBL_QNAN
56 1.1 skrll #else
57 1.1 skrll #define NAN (0.0 / 0.0)
58 1.1 skrll #endif
59 1.1 skrll #endif
60 1.1 skrll
61 1.1 skrll static int mant_bits_set (const struct floatformat *, const unsigned char *);
62 1.1 skrll static unsigned long get_field (const unsigned char *,
63 1.1 skrll enum floatformat_byteorders,
64 1.1 skrll unsigned int,
65 1.1 skrll unsigned int,
66 1.1 skrll unsigned int);
67 1.1 skrll static int floatformat_always_valid (const struct floatformat *fmt,
68 1.1 skrll const void *from);
69 1.1 skrll
70 1.1 skrll static int
71 1.1 skrll floatformat_always_valid (const struct floatformat *fmt ATTRIBUTE_UNUSED,
72 1.1 skrll const void *from ATTRIBUTE_UNUSED)
73 1.1 skrll {
74 1.1 skrll return 1;
75 1.1 skrll }
76 1.1 skrll
77 1.1 skrll /* The odds that CHAR_BIT will be anything but 8 are low enough that I'm not
78 1.1 skrll going to bother with trying to muck around with whether it is defined in
79 1.1 skrll a system header, what we do if not, etc. */
80 1.1 skrll #define FLOATFORMAT_CHAR_BIT 8
81 1.1 skrll
82 1.3 christos /* floatformats for IEEE half, single and double, big and little endian. */
83 1.3 christos const struct floatformat floatformat_ieee_half_big =
84 1.3 christos {
85 1.3 christos floatformat_big, 16, 0, 1, 5, 15, 31, 6, 10,
86 1.3 christos floatformat_intbit_no,
87 1.3 christos "floatformat_ieee_half_big",
88 1.3 christos floatformat_always_valid,
89 1.3 christos NULL
90 1.3 christos };
91 1.3 christos const struct floatformat floatformat_ieee_half_little =
92 1.3 christos {
93 1.3 christos floatformat_little, 16, 0, 1, 5, 15, 31, 6, 10,
94 1.3 christos floatformat_intbit_no,
95 1.3 christos "floatformat_ieee_half_little",
96 1.3 christos floatformat_always_valid,
97 1.3 christos NULL
98 1.3 christos };
99 1.1 skrll const struct floatformat floatformat_ieee_single_big =
100 1.1 skrll {
101 1.1 skrll floatformat_big, 32, 0, 1, 8, 127, 255, 9, 23,
102 1.1 skrll floatformat_intbit_no,
103 1.1 skrll "floatformat_ieee_single_big",
104 1.1 skrll floatformat_always_valid,
105 1.1 skrll NULL
106 1.1 skrll };
107 1.1 skrll const struct floatformat floatformat_ieee_single_little =
108 1.1 skrll {
109 1.1 skrll floatformat_little, 32, 0, 1, 8, 127, 255, 9, 23,
110 1.1 skrll floatformat_intbit_no,
111 1.1 skrll "floatformat_ieee_single_little",
112 1.1 skrll floatformat_always_valid,
113 1.1 skrll NULL
114 1.1 skrll };
115 1.1 skrll const struct floatformat floatformat_ieee_double_big =
116 1.1 skrll {
117 1.1 skrll floatformat_big, 64, 0, 1, 11, 1023, 2047, 12, 52,
118 1.1 skrll floatformat_intbit_no,
119 1.1 skrll "floatformat_ieee_double_big",
120 1.1 skrll floatformat_always_valid,
121 1.1 skrll NULL
122 1.1 skrll };
123 1.1 skrll const struct floatformat floatformat_ieee_double_little =
124 1.1 skrll {
125 1.1 skrll floatformat_little, 64, 0, 1, 11, 1023, 2047, 12, 52,
126 1.1 skrll floatformat_intbit_no,
127 1.1 skrll "floatformat_ieee_double_little",
128 1.1 skrll floatformat_always_valid,
129 1.1 skrll NULL
130 1.1 skrll };
131 1.1 skrll
132 1.1 skrll /* floatformat for IEEE double, little endian byte order, with big endian word
133 1.1 skrll ordering, as on the ARM. */
134 1.1 skrll
135 1.1 skrll const struct floatformat floatformat_ieee_double_littlebyte_bigword =
136 1.1 skrll {
137 1.1 skrll floatformat_littlebyte_bigword, 64, 0, 1, 11, 1023, 2047, 12, 52,
138 1.1 skrll floatformat_intbit_no,
139 1.1 skrll "floatformat_ieee_double_littlebyte_bigword",
140 1.1 skrll floatformat_always_valid,
141 1.1 skrll NULL
142 1.1 skrll };
143 1.1 skrll
144 1.1 skrll /* floatformat for VAX. Not quite IEEE, but close enough. */
145 1.1 skrll
146 1.1 skrll const struct floatformat floatformat_vax_f =
147 1.1 skrll {
148 1.1 skrll floatformat_vax, 32, 0, 1, 8, 129, 0, 9, 23,
149 1.1 skrll floatformat_intbit_no,
150 1.1 skrll "floatformat_vax_f",
151 1.1 skrll floatformat_always_valid,
152 1.1 skrll NULL
153 1.1 skrll };
154 1.1 skrll const struct floatformat floatformat_vax_d =
155 1.1 skrll {
156 1.1 skrll floatformat_vax, 64, 0, 1, 8, 129, 0, 9, 55,
157 1.1 skrll floatformat_intbit_no,
158 1.1 skrll "floatformat_vax_d",
159 1.1 skrll floatformat_always_valid,
160 1.1 skrll NULL
161 1.1 skrll };
162 1.1 skrll const struct floatformat floatformat_vax_g =
163 1.1 skrll {
164 1.1 skrll floatformat_vax, 64, 0, 1, 11, 1025, 0, 12, 52,
165 1.1 skrll floatformat_intbit_no,
166 1.1 skrll "floatformat_vax_g",
167 1.1 skrll floatformat_always_valid,
168 1.1 skrll NULL
169 1.1 skrll };
170 1.1 skrll
171 1.1 skrll static int floatformat_i387_ext_is_valid (const struct floatformat *fmt,
172 1.1 skrll const void *from);
173 1.1 skrll
174 1.1 skrll static int
175 1.1 skrll floatformat_i387_ext_is_valid (const struct floatformat *fmt, const void *from)
176 1.1 skrll {
177 1.1 skrll /* In the i387 double-extended format, if the exponent is all ones,
178 1.1 skrll then the integer bit must be set. If the exponent is neither 0
179 1.1 skrll nor ~0, the intbit must also be set. Only if the exponent is
180 1.1 skrll zero can it be zero, and then it must be zero. */
181 1.1 skrll unsigned long exponent, int_bit;
182 1.1 skrll const unsigned char *ufrom = (const unsigned char *) from;
183 1.1 skrll
184 1.1 skrll exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
185 1.1 skrll fmt->exp_start, fmt->exp_len);
186 1.1 skrll int_bit = get_field (ufrom, fmt->byteorder, fmt->totalsize,
187 1.1 skrll fmt->man_start, 1);
188 1.1 skrll
189 1.1 skrll if ((exponent == 0) != (int_bit == 0))
190 1.1 skrll return 0;
191 1.1 skrll else
192 1.1 skrll return 1;
193 1.1 skrll }
194 1.1 skrll
195 1.1 skrll const struct floatformat floatformat_i387_ext =
196 1.1 skrll {
197 1.1 skrll floatformat_little, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
198 1.1 skrll floatformat_intbit_yes,
199 1.1 skrll "floatformat_i387_ext",
200 1.1 skrll floatformat_i387_ext_is_valid,
201 1.1 skrll NULL
202 1.1 skrll };
203 1.1 skrll const struct floatformat floatformat_m68881_ext =
204 1.1 skrll {
205 1.1 skrll /* Note that the bits from 16 to 31 are unused. */
206 1.1 skrll floatformat_big, 96, 0, 1, 15, 0x3fff, 0x7fff, 32, 64,
207 1.1 skrll floatformat_intbit_yes,
208 1.1 skrll "floatformat_m68881_ext",
209 1.1 skrll floatformat_always_valid,
210 1.1 skrll NULL
211 1.1 skrll };
212 1.1 skrll const struct floatformat floatformat_i960_ext =
213 1.1 skrll {
214 1.1 skrll /* Note that the bits from 0 to 15 are unused. */
215 1.1 skrll floatformat_little, 96, 16, 17, 15, 0x3fff, 0x7fff, 32, 64,
216 1.1 skrll floatformat_intbit_yes,
217 1.1 skrll "floatformat_i960_ext",
218 1.1 skrll floatformat_always_valid,
219 1.1 skrll NULL
220 1.1 skrll };
221 1.1 skrll const struct floatformat floatformat_m88110_ext =
222 1.1 skrll {
223 1.1 skrll floatformat_big, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
224 1.1 skrll floatformat_intbit_yes,
225 1.1 skrll "floatformat_m88110_ext",
226 1.1 skrll floatformat_always_valid,
227 1.1 skrll NULL
228 1.1 skrll };
229 1.1 skrll const struct floatformat floatformat_m88110_harris_ext =
230 1.1 skrll {
231 1.1 skrll /* Harris uses raw format 128 bytes long, but the number is just an ieee
232 1.1 skrll double, and the last 64 bits are wasted. */
233 1.1 skrll floatformat_big,128, 0, 1, 11, 0x3ff, 0x7ff, 12, 52,
234 1.1 skrll floatformat_intbit_no,
235 1.1 skrll "floatformat_m88110_ext_harris",
236 1.1 skrll floatformat_always_valid,
237 1.1 skrll NULL
238 1.1 skrll };
239 1.1 skrll const struct floatformat floatformat_arm_ext_big =
240 1.1 skrll {
241 1.1 skrll /* Bits 1 to 16 are unused. */
242 1.1 skrll floatformat_big, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
243 1.1 skrll floatformat_intbit_yes,
244 1.1 skrll "floatformat_arm_ext_big",
245 1.1 skrll floatformat_always_valid,
246 1.1 skrll NULL
247 1.1 skrll };
248 1.1 skrll const struct floatformat floatformat_arm_ext_littlebyte_bigword =
249 1.1 skrll {
250 1.1 skrll /* Bits 1 to 16 are unused. */
251 1.1 skrll floatformat_littlebyte_bigword, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
252 1.1 skrll floatformat_intbit_yes,
253 1.1 skrll "floatformat_arm_ext_littlebyte_bigword",
254 1.1 skrll floatformat_always_valid,
255 1.1 skrll NULL
256 1.1 skrll };
257 1.1 skrll const struct floatformat floatformat_ia64_spill_big =
258 1.1 skrll {
259 1.1 skrll floatformat_big, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
260 1.1 skrll floatformat_intbit_yes,
261 1.1 skrll "floatformat_ia64_spill_big",
262 1.1 skrll floatformat_always_valid,
263 1.1 skrll NULL
264 1.1 skrll };
265 1.1 skrll const struct floatformat floatformat_ia64_spill_little =
266 1.1 skrll {
267 1.1 skrll floatformat_little, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
268 1.1 skrll floatformat_intbit_yes,
269 1.1 skrll "floatformat_ia64_spill_little",
270 1.1 skrll floatformat_always_valid,
271 1.1 skrll NULL
272 1.1 skrll };
273 1.1 skrll const struct floatformat floatformat_ia64_quad_big =
274 1.1 skrll {
275 1.1 skrll floatformat_big, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
276 1.1 skrll floatformat_intbit_no,
277 1.1 skrll "floatformat_ia64_quad_big",
278 1.1 skrll floatformat_always_valid,
279 1.1 skrll NULL
280 1.1 skrll };
281 1.1 skrll const struct floatformat floatformat_ia64_quad_little =
282 1.1 skrll {
283 1.1 skrll floatformat_little, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
284 1.1 skrll floatformat_intbit_no,
285 1.1 skrll "floatformat_ia64_quad_little",
286 1.1 skrll floatformat_always_valid,
287 1.1 skrll NULL
288 1.1 skrll };
289 1.1 skrll
290 1.1 skrll static int
291 1.1 skrll floatformat_ibm_long_double_is_valid (const struct floatformat *fmt,
292 1.1 skrll const void *from)
293 1.1 skrll {
294 1.1 skrll const unsigned char *ufrom = (const unsigned char *) from;
295 1.1 skrll const struct floatformat *hfmt = fmt->split_half;
296 1.1 skrll long top_exp, bot_exp;
297 1.1 skrll int top_nan = 0;
298 1.1 skrll
299 1.1 skrll top_exp = get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
300 1.1 skrll hfmt->exp_start, hfmt->exp_len);
301 1.1 skrll bot_exp = get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
302 1.1 skrll hfmt->exp_start, hfmt->exp_len);
303 1.1 skrll
304 1.1 skrll if ((unsigned long) top_exp == hfmt->exp_nan)
305 1.1 skrll top_nan = mant_bits_set (hfmt, ufrom);
306 1.1 skrll
307 1.1 skrll /* A NaN is valid with any low part. */
308 1.1 skrll if (top_nan)
309 1.1 skrll return 1;
310 1.1 skrll
311 1.1 skrll /* An infinity, zero or denormal requires low part 0 (positive or
312 1.1 skrll negative). */
313 1.1 skrll if ((unsigned long) top_exp == hfmt->exp_nan || top_exp == 0)
314 1.1 skrll {
315 1.1 skrll if (bot_exp != 0)
316 1.1 skrll return 0;
317 1.1 skrll
318 1.1 skrll return !mant_bits_set (hfmt, ufrom + 8);
319 1.1 skrll }
320 1.1 skrll
321 1.1 skrll /* The top part is now a finite normal value. The long double value
322 1.1 skrll is the sum of the two parts, and the top part must equal the
323 1.1 skrll result of rounding the long double value to nearest double. Thus
324 1.1 skrll the bottom part must be <= 0.5ulp of the top part in absolute
325 1.1 skrll value, and if it is < 0.5ulp then the long double is definitely
326 1.1 skrll valid. */
327 1.1 skrll if (bot_exp < top_exp - 53)
328 1.1 skrll return 1;
329 1.1 skrll if (bot_exp > top_exp - 53 && bot_exp != 0)
330 1.1 skrll return 0;
331 1.1 skrll if (bot_exp == 0)
332 1.1 skrll {
333 1.1 skrll /* The bottom part is 0 or denormal. Determine which, and if
334 1.1 skrll denormal the first two set bits. */
335 1.1 skrll int first_bit = -1, second_bit = -1, cur_bit;
336 1.1 skrll for (cur_bit = 0; (unsigned int) cur_bit < hfmt->man_len; cur_bit++)
337 1.1 skrll if (get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
338 1.1 skrll hfmt->man_start + cur_bit, 1))
339 1.1 skrll {
340 1.1 skrll if (first_bit == -1)
341 1.1 skrll first_bit = cur_bit;
342 1.1 skrll else
343 1.1 skrll {
344 1.1 skrll second_bit = cur_bit;
345 1.1 skrll break;
346 1.1 skrll }
347 1.1 skrll }
348 1.1 skrll /* Bottom part 0 is OK. */
349 1.1 skrll if (first_bit == -1)
350 1.1 skrll return 1;
351 1.1 skrll /* The real exponent of the bottom part is -first_bit. */
352 1.1 skrll if (-first_bit < top_exp - 53)
353 1.1 skrll return 1;
354 1.1 skrll if (-first_bit > top_exp - 53)
355 1.1 skrll return 0;
356 1.1 skrll /* The bottom part is at least 0.5ulp of the top part. For this
357 1.1 skrll to be OK, the bottom part must be exactly 0.5ulp (i.e. no
358 1.1 skrll more bits set) and the top part must have last bit 0. */
359 1.1 skrll if (second_bit != -1)
360 1.1 skrll return 0;
361 1.1 skrll return !get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
362 1.1 skrll hfmt->man_start + hfmt->man_len - 1, 1);
363 1.1 skrll }
364 1.1 skrll else
365 1.1 skrll {
366 1.1 skrll /* The bottom part is at least 0.5ulp of the top part. For this
367 1.1 skrll to be OK, it must be exactly 0.5ulp (i.e. no explicit bits
368 1.1 skrll set) and the top part must have last bit 0. */
369 1.1 skrll if (get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
370 1.1 skrll hfmt->man_start + hfmt->man_len - 1, 1))
371 1.1 skrll return 0;
372 1.1 skrll return !mant_bits_set (hfmt, ufrom + 8);
373 1.1 skrll }
374 1.1 skrll }
375 1.1 skrll
376 1.5 christos const struct floatformat floatformat_ibm_long_double_big =
377 1.1 skrll {
378 1.1 skrll floatformat_big, 128, 0, 1, 11, 1023, 2047, 12, 52,
379 1.1 skrll floatformat_intbit_no,
380 1.5 christos "floatformat_ibm_long_double_big",
381 1.1 skrll floatformat_ibm_long_double_is_valid,
382 1.1 skrll &floatformat_ieee_double_big
383 1.1 skrll };
384 1.5 christos
385 1.5 christos const struct floatformat floatformat_ibm_long_double_little =
386 1.5 christos {
387 1.5 christos floatformat_little, 128, 0, 1, 11, 1023, 2047, 12, 52,
388 1.5 christos floatformat_intbit_no,
389 1.5 christos "floatformat_ibm_long_double_little",
390 1.5 christos floatformat_ibm_long_double_is_valid,
391 1.5 christos &floatformat_ieee_double_little
392 1.5 christos };
393 1.1 skrll
394 1.1 skrll
396 1.1 skrll #ifndef min
397 1.1 skrll #define min(a, b) ((a) < (b) ? (a) : (b))
398 1.1 skrll #endif
399 1.1 skrll
400 1.1 skrll /* Return 1 if any bits are explicitly set in the mantissa of UFROM,
401 1.1 skrll format FMT, 0 otherwise. */
402 1.1 skrll static int
403 1.1 skrll mant_bits_set (const struct floatformat *fmt, const unsigned char *ufrom)
404 1.1 skrll {
405 1.1 skrll unsigned int mant_bits, mant_off;
406 1.1 skrll int mant_bits_left;
407 1.1 skrll
408 1.1 skrll mant_off = fmt->man_start;
409 1.1 skrll mant_bits_left = fmt->man_len;
410 1.1 skrll while (mant_bits_left > 0)
411 1.1 skrll {
412 1.1 skrll mant_bits = min (mant_bits_left, 32);
413 1.1 skrll
414 1.1 skrll if (get_field (ufrom, fmt->byteorder, fmt->totalsize,
415 1.1 skrll mant_off, mant_bits) != 0)
416 1.1 skrll return 1;
417 1.1 skrll
418 1.1 skrll mant_off += mant_bits;
419 1.1 skrll mant_bits_left -= mant_bits;
420 1.1 skrll }
421 1.1 skrll return 0;
422 1.1 skrll }
423 1.1 skrll
424 1.1 skrll /* Extract a field which starts at START and is LEN bits long. DATA and
425 1.1 skrll TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER. */
426 1.1 skrll static unsigned long
427 1.1 skrll get_field (const unsigned char *data, enum floatformat_byteorders order,
428 1.1 skrll unsigned int total_len, unsigned int start, unsigned int len)
429 1.1 skrll {
430 1.1 skrll unsigned long result = 0;
431 1.1 skrll unsigned int cur_byte;
432 1.1 skrll int lo_bit, hi_bit, cur_bitshift = 0;
433 1.1 skrll int nextbyte = (order == floatformat_little) ? 1 : -1;
434 1.1 skrll
435 1.1 skrll /* Start is in big-endian bit order! Fix that first. */
436 1.1 skrll start = total_len - (start + len);
437 1.1 skrll
438 1.1 skrll /* Start at the least significant part of the field. */
439 1.1 skrll if (order == floatformat_little)
440 1.1 skrll cur_byte = start / FLOATFORMAT_CHAR_BIT;
441 1.1 skrll else
442 1.1 skrll cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
443 1.1 skrll
444 1.1 skrll lo_bit = start % FLOATFORMAT_CHAR_BIT;
445 1.1 skrll hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
446 1.1 skrll
447 1.1 skrll do
448 1.1 skrll {
449 1.1 skrll unsigned int shifted = *(data + cur_byte) >> lo_bit;
450 1.1 skrll unsigned int bits = hi_bit - lo_bit;
451 1.1 skrll unsigned int mask = (1 << bits) - 1;
452 1.1 skrll result |= (shifted & mask) << cur_bitshift;
453 1.1 skrll len -= bits;
454 1.1 skrll cur_bitshift += bits;
455 1.1 skrll cur_byte += nextbyte;
456 1.1 skrll lo_bit = 0;
457 1.1 skrll hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
458 1.1 skrll }
459 1.1 skrll while (len != 0);
460 1.1 skrll
461 1.1 skrll return result;
462 1.1 skrll }
463 1.1 skrll
464 1.1 skrll /* Convert from FMT to a double.
465 1.1 skrll FROM is the address of the extended float.
466 1.1 skrll Store the double in *TO. */
467 1.1 skrll
468 1.1 skrll void
469 1.1 skrll floatformat_to_double (const struct floatformat *fmt,
470 1.1 skrll const void *from, double *to)
471 1.1 skrll {
472 1.1 skrll const unsigned char *ufrom = (const unsigned char *) from;
473 1.1 skrll double dto;
474 1.1 skrll long exponent;
475 1.1 skrll unsigned long mant;
476 1.1 skrll unsigned int mant_bits, mant_off;
477 1.1 skrll int mant_bits_left;
478 1.1 skrll
479 1.1 skrll /* Split values are not handled specially, since the top half has
480 1.1 skrll the correctly rounded double value (in the only supported case of
481 1.1 skrll split values). */
482 1.1 skrll
483 1.1 skrll exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
484 1.1 skrll fmt->exp_start, fmt->exp_len);
485 1.1 skrll
486 1.1 skrll /* If the exponent indicates a NaN, we don't have information to
487 1.1 skrll decide what to do. So we handle it like IEEE, except that we
488 1.1 skrll don't try to preserve the type of NaN. FIXME. */
489 1.1 skrll if ((unsigned long) exponent == fmt->exp_nan)
490 1.1 skrll {
491 1.1 skrll int nan = mant_bits_set (fmt, ufrom);
492 1.1 skrll
493 1.1 skrll /* On certain systems (such as GNU/Linux), the use of the
494 1.1 skrll INFINITY macro below may generate a warning that can not be
495 1.1 skrll silenced due to a bug in GCC (PR preprocessor/11931). The
496 1.1 skrll preprocessor fails to recognise the __extension__ keyword in
497 1.1 skrll conjunction with the GNU/C99 extension for hexadecimal
498 1.1 skrll floating point constants and will issue a warning when
499 1.1 skrll compiling with -pedantic. */
500 1.1 skrll if (nan)
501 1.1 skrll dto = NAN;
502 1.2 joerg else
503 1.2 joerg #ifdef __vax__
504 1.2 joerg dto = HUGE_VAL;
505 1.1 skrll #else
506 1.2 joerg dto = INFINITY;
507 1.1 skrll #endif
508 1.1 skrll
509 1.1 skrll if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
510 1.1 skrll dto = -dto;
511 1.1 skrll
512 1.1 skrll *to = dto;
513 1.1 skrll
514 1.1 skrll return;
515 1.1 skrll }
516 1.1 skrll
517 1.1 skrll mant_bits_left = fmt->man_len;
518 1.1 skrll mant_off = fmt->man_start;
519 1.1 skrll dto = 0.0;
520 1.1 skrll
521 1.1 skrll /* Build the result algebraically. Might go infinite, underflow, etc;
522 1.1 skrll who cares. */
523 1.5 christos
524 1.5 christos /* For denorms use minimum exponent. */
525 1.5 christos if (exponent == 0)
526 1.5 christos exponent = 1 - fmt->exp_bias;
527 1.5 christos else
528 1.5 christos {
529 1.5 christos exponent -= fmt->exp_bias;
530 1.5 christos
531 1.5 christos /* If this format uses a hidden bit, explicitly add it in now.
532 1.5 christos Otherwise, increment the exponent by one to account for the
533 1.1 skrll integer bit. */
534 1.1 skrll
535 1.1 skrll if (fmt->intbit == floatformat_intbit_no)
536 1.1 skrll dto = ldexp (1.0, exponent);
537 1.1 skrll else
538 1.1 skrll exponent++;
539 1.1 skrll }
540 1.1 skrll
541 1.1 skrll while (mant_bits_left > 0)
542 1.1 skrll {
543 1.1 skrll mant_bits = min (mant_bits_left, 32);
544 1.1 skrll
545 1.1 skrll mant = get_field (ufrom, fmt->byteorder, fmt->totalsize,
546 1.1 skrll mant_off, mant_bits);
547 1.5 christos
548 1.5 christos dto += ldexp ((double) mant, exponent - mant_bits);
549 1.1 skrll exponent -= mant_bits;
550 1.1 skrll mant_off += mant_bits;
551 1.1 skrll mant_bits_left -= mant_bits;
552 1.1 skrll }
553 1.1 skrll
554 1.1 skrll /* Negate it if negative. */
555 1.1 skrll if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
556 1.1 skrll dto = -dto;
557 1.1 skrll *to = dto;
558 1.1 skrll }
559 1.1 skrll
560 1.1 skrll static void put_field (unsigned char *, enum floatformat_byteorders,
562 1.1 skrll unsigned int,
563 1.1 skrll unsigned int,
564 1.1 skrll unsigned int,
565 1.1 skrll unsigned long);
566 1.1 skrll
567 1.1 skrll /* Set a field which starts at START and is LEN bits long. DATA and
568 1.1 skrll TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER. */
569 1.1 skrll static void
570 1.1 skrll put_field (unsigned char *data, enum floatformat_byteorders order,
571 1.1 skrll unsigned int total_len, unsigned int start, unsigned int len,
572 1.1 skrll unsigned long stuff_to_put)
573 1.1 skrll {
574 1.1 skrll unsigned int cur_byte;
575 1.1 skrll int lo_bit, hi_bit;
576 1.1 skrll int nextbyte = (order == floatformat_little) ? 1 : -1;
577 1.1 skrll
578 1.1 skrll /* Start is in big-endian bit order! Fix that first. */
579 1.1 skrll start = total_len - (start + len);
580 1.1 skrll
581 1.1 skrll /* Start at the least significant part of the field. */
582 1.1 skrll if (order == floatformat_little)
583 1.1 skrll cur_byte = start / FLOATFORMAT_CHAR_BIT;
584 1.1 skrll else
585 1.1 skrll cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
586 1.1 skrll
587 1.1 skrll lo_bit = start % FLOATFORMAT_CHAR_BIT;
588 1.1 skrll hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
589 1.1 skrll
590 1.1 skrll do
591 1.1 skrll {
592 1.1 skrll unsigned char *byte_ptr = data + cur_byte;
593 1.1 skrll unsigned int bits = hi_bit - lo_bit;
594 1.1 skrll unsigned int mask = ((1 << bits) - 1) << lo_bit;
595 1.1 skrll *byte_ptr = (*byte_ptr & ~mask) | ((stuff_to_put << lo_bit) & mask);
596 1.1 skrll stuff_to_put >>= bits;
597 1.1 skrll len -= bits;
598 1.1 skrll cur_byte += nextbyte;
599 1.1 skrll lo_bit = 0;
600 1.1 skrll hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
601 1.1 skrll }
602 1.1 skrll while (len != 0);
603 1.1 skrll }
604 1.1 skrll
605 1.1 skrll /* The converse: convert the double *FROM to an extended float
606 1.1 skrll and store where TO points. Neither FROM nor TO have any alignment
607 1.1 skrll restrictions. */
608 1.1 skrll
609 1.1 skrll void
610 1.1 skrll floatformat_from_double (const struct floatformat *fmt,
611 1.1 skrll const double *from, void *to)
612 1.1 skrll {
613 1.1 skrll double dfrom;
614 1.1 skrll int exponent;
615 1.1 skrll double mant;
616 1.1 skrll unsigned int mant_bits, mant_off;
617 1.1 skrll int mant_bits_left;
618 1.1 skrll unsigned char *uto = (unsigned char *) to;
619 1.1 skrll
620 1.1 skrll dfrom = *from;
621 1.1 skrll memset (uto, 0, fmt->totalsize / FLOATFORMAT_CHAR_BIT);
622 1.1 skrll
623 1.1 skrll /* Split values are not handled specially, since a bottom half of
624 1.1 skrll zero is correct for any value representable as double (in the
625 1.1 skrll only supported case of split values). */
626 1.1 skrll
627 1.1 skrll /* If negative, set the sign bit. */
628 1.1 skrll if (dfrom < 0)
629 1.1 skrll {
630 1.1 skrll put_field (uto, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1, 1);
631 1.1 skrll dfrom = -dfrom;
632 1.1 skrll }
633 1.1 skrll
634 1.1 skrll if (dfrom == 0)
635 1.1 skrll {
636 1.1 skrll /* 0.0. */
637 1.1 skrll return;
638 1.1 skrll }
639 1.1 skrll
640 1.1 skrll if (dfrom != dfrom)
641 1.1 skrll {
642 1.1 skrll /* NaN. */
643 1.1 skrll put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
644 1.1 skrll fmt->exp_len, fmt->exp_nan);
645 1.1 skrll /* Be sure it's not infinity, but NaN value is irrelevant. */
646 1.1 skrll put_field (uto, fmt->byteorder, fmt->totalsize, fmt->man_start,
647 1.1 skrll 32, 1);
648 1.1 skrll return;
649 1.1 skrll }
650 1.1 skrll
651 1.1 skrll if (dfrom + dfrom == dfrom)
652 1.1 skrll {
653 1.1 skrll /* This can only happen for an infinite value (or zero, which we
654 1.1 skrll already handled above). */
655 1.1 skrll put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
656 1.1 skrll fmt->exp_len, fmt->exp_nan);
657 1.1 skrll return;
658 1.1 skrll }
659 1.1 skrll
660 1.1 skrll mant = frexp (dfrom, &exponent);
661 1.1 skrll if (exponent + fmt->exp_bias - 1 > 0)
662 1.1 skrll put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
663 1.1 skrll fmt->exp_len, exponent + fmt->exp_bias - 1);
664 1.1 skrll else
665 1.1 skrll {
666 1.1 skrll /* Handle a denormalized number. FIXME: What should we do for
667 1.1 skrll non-IEEE formats? */
668 1.1 skrll put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
669 1.1 skrll fmt->exp_len, 0);
670 1.1 skrll mant = ldexp (mant, exponent + fmt->exp_bias - 1);
671 1.1 skrll }
672 1.1 skrll
673 1.1 skrll mant_bits_left = fmt->man_len;
674 1.1 skrll mant_off = fmt->man_start;
675 1.1 skrll while (mant_bits_left > 0)
676 1.1 skrll {
677 1.1 skrll unsigned long mant_long;
678 1.1 skrll mant_bits = mant_bits_left < 32 ? mant_bits_left : 32;
679 1.1 skrll
680 1.1 skrll mant *= 4294967296.0;
681 1.1 skrll mant_long = (unsigned long)mant;
682 1.1 skrll mant -= mant_long;
683 1.1 skrll
684 1.1 skrll /* If the integer bit is implicit, and we are not creating a
685 1.1 skrll denormalized number, then we need to discard it. */
686 1.1 skrll if ((unsigned int) mant_bits_left == fmt->man_len
687 1.1 skrll && fmt->intbit == floatformat_intbit_no
688 1.1 skrll && exponent + fmt->exp_bias - 1 > 0)
689 1.1 skrll {
690 1.1 skrll mant_long &= 0x7fffffff;
691 1.1 skrll mant_bits -= 1;
692 1.1 skrll }
693 1.1 skrll else if (mant_bits < 32)
694 1.1 skrll {
695 1.1 skrll /* The bits we want are in the most significant MANT_BITS bits of
696 1.1 skrll mant_long. Move them to the least significant. */
697 1.1 skrll mant_long >>= 32 - mant_bits;
698 1.1 skrll }
699 1.1 skrll
700 1.1 skrll put_field (uto, fmt->byteorder, fmt->totalsize,
701 1.1 skrll mant_off, mant_bits, mant_long);
702 1.1 skrll mant_off += mant_bits;
703 1.1 skrll mant_bits_left -= mant_bits;
704 1.1 skrll }
705 1.1 skrll }
706 1.1 skrll
707 1.1 skrll /* Return non-zero iff the data at FROM is a valid number in format FMT. */
708 1.1 skrll
709 1.1 skrll int
710 1.1 skrll floatformat_is_valid (const struct floatformat *fmt, const void *from)
711 1.1 skrll {
712 1.1 skrll return fmt->is_valid (fmt, from);
713 1.1 skrll }
714 1.1 skrll
715 1.1 skrll
716 1.1 skrll #ifdef IEEE_DEBUG
717 1.1 skrll
718 1.1 skrll #include <stdio.h>
719 1.1 skrll
720 1.1 skrll /* This is to be run on a host which uses IEEE floating point. */
721 1.1 skrll
722 1.1 skrll void
723 1.1 skrll ieee_test (double n)
724 1.1 skrll {
725 1.1 skrll double result;
726 1.1 skrll
727 1.1 skrll floatformat_to_double (&floatformat_ieee_double_little, &n, &result);
728 1.1 skrll if ((n != result && (! isnan (n) || ! isnan (result)))
729 1.1 skrll || (n < 0 && result >= 0)
730 1.1 skrll || (n >= 0 && result < 0))
731 1.1 skrll printf ("Differ(to): %.20g -> %.20g\n", n, result);
732 1.1 skrll
733 1.1 skrll floatformat_from_double (&floatformat_ieee_double_little, &n, &result);
734 1.1 skrll if ((n != result && (! isnan (n) || ! isnan (result)))
735 1.1 skrll || (n < 0 && result >= 0)
736 1.1 skrll || (n >= 0 && result < 0))
737 1.1 skrll printf ("Differ(from): %.20g -> %.20g\n", n, result);
738 1.1 skrll
739 1.1 skrll #if 0
740 1.1 skrll {
741 1.1 skrll char exten[16];
742 1.1 skrll
743 1.1 skrll floatformat_from_double (&floatformat_m68881_ext, &n, exten);
744 1.1 skrll floatformat_to_double (&floatformat_m68881_ext, exten, &result);
745 1.1 skrll if (n != result)
746 1.1 skrll printf ("Differ(to+from): %.20g -> %.20g\n", n, result);
747 1.1 skrll }
748 1.1 skrll #endif
749 1.1 skrll
750 1.1 skrll #if IEEE_DEBUG > 1
751 1.1 skrll /* This is to be run on a host which uses 68881 format. */
752 1.1 skrll {
753 1.1 skrll long double ex = *(long double *)exten;
754 1.1 skrll if (ex != n)
755 1.1 skrll printf ("Differ(from vs. extended): %.20g\n", n);
756 1.1 skrll }
757 1.1 skrll #endif
758 1.1 skrll }
759 1.1 skrll
760 1.1 skrll int
761 1.1 skrll main (void)
762 1.1 skrll {
763 1.5 christos ieee_test (0.0);
764 1.1 skrll ieee_test (0.5);
765 1.1 skrll ieee_test (1.1);
766 1.1 skrll ieee_test (256.0);
767 1.1 skrll ieee_test (0.12345);
768 1.1 skrll ieee_test (234235.78907234);
769 1.1 skrll ieee_test (-512.0);
770 1.1 skrll ieee_test (-0.004321);
771 1.1 skrll ieee_test (1.2E-70);
772 1.1 skrll ieee_test (1.2E-316);
773 1.1 skrll ieee_test (4.9406564584124654E-324);
774 1.1 skrll ieee_test (- 4.9406564584124654E-324);
775 1.1 skrll ieee_test (- 0.0);
776 1.1 skrll ieee_test (- INFINITY);
777 1.1 skrll ieee_test (- NAN);
778 1.1 skrll ieee_test (INFINITY);
779 1.1 skrll ieee_test (NAN);
780 1.1 skrll return 0;
781 }
782 #endif
783