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6599da04 1/* IEEE floating point support routines, for GDB, the GNU Debugger.
5ad5a984 2 Copyright (C) 1991, 1994, 1999 Free Software Foundation, Inc.
6599da04
JM
3
4This file is part of GDB.
5
6This program is free software; you can redistribute it and/or modify
7it under the terms of the GNU General Public License as published by
8the Free Software Foundation; either version 2 of the License, or
9(at your option) any later version.
10
11This program is distributed in the hope that it will be useful,
12but WITHOUT ANY WARRANTY; without even the implied warranty of
13MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14GNU General Public License for more details.
15
16You should have received a copy of the GNU General Public License
17along with this program; if not, write to the Free Software
18Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */
19
20#include "floatformat.h"
21#include <math.h> /* ldexp */
22#ifdef __STDC__
23#include <stddef.h>
24extern void *memcpy (void *s1, const void *s2, size_t n);
25extern void *memset (void *s, int c, size_t n);
26#else
27extern char *memcpy ();
28extern char *memset ();
29#endif
30
31/* The odds that CHAR_BIT will be anything but 8 are low enough that I'm not
32 going to bother with trying to muck around with whether it is defined in
33 a system header, what we do if not, etc. */
34#define FLOATFORMAT_CHAR_BIT 8
35
36/* floatformats for IEEE single and double, big and little endian. */
37const struct floatformat floatformat_ieee_single_big =
38{
39 floatformat_big, 32, 0, 1, 8, 127, 255, 9, 23, floatformat_intbit_no
40};
41const struct floatformat floatformat_ieee_single_little =
42{
43 floatformat_little, 32, 0, 1, 8, 127, 255, 9, 23, floatformat_intbit_no
44};
45const struct floatformat floatformat_ieee_double_big =
46{
47 floatformat_big, 64, 0, 1, 11, 1023, 2047, 12, 52, floatformat_intbit_no
48};
49const struct floatformat floatformat_ieee_double_little =
50{
51 floatformat_little, 64, 0, 1, 11, 1023, 2047, 12, 52, floatformat_intbit_no
52};
53
54/* floatformat for IEEE double, little endian byte order, with big endian word
55 ordering, as on the ARM. */
56
57const struct floatformat floatformat_ieee_double_littlebyte_bigword =
58{
59 floatformat_littlebyte_bigword, 64, 0, 1, 11, 1023, 2047, 12, 52, floatformat_intbit_no
60};
61
62const struct floatformat floatformat_i387_ext =
63{
64 floatformat_little, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
65 floatformat_intbit_yes
66};
67const struct floatformat floatformat_m68881_ext =
68{
69 /* Note that the bits from 16 to 31 are unused. */
70 floatformat_big, 96, 0, 1, 15, 0x3fff, 0x7fff, 32, 64, floatformat_intbit_yes
71};
72const struct floatformat floatformat_i960_ext =
73{
74 /* Note that the bits from 0 to 15 are unused. */
75 floatformat_little, 96, 16, 17, 15, 0x3fff, 0x7fff, 32, 64,
76 floatformat_intbit_yes
77};
78const struct floatformat floatformat_m88110_ext =
79{
80#ifdef HARRIS_FLOAT_FORMAT
81 /* Harris uses raw format 128 bytes long, but the number is just an ieee
82 double, and the last 64 bits are wasted. */
83 floatformat_big,128, 0, 1, 11, 0x3ff, 0x7ff, 12, 52,
84 floatformat_intbit_no
85#else
86 floatformat_big, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
87 floatformat_intbit_yes
88#endif /* HARRIS_FLOAT_FORMAT */
89};
90const struct floatformat floatformat_arm_ext =
91{
92 /* Bits 1 to 16 are unused. */
93 floatformat_big, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
94 floatformat_intbit_yes
95};
96\f
97static unsigned long get_field PARAMS ((unsigned char *,
98 enum floatformat_byteorders,
99 unsigned int,
100 unsigned int,
101 unsigned int));
102
103/* Extract a field which starts at START and is LEN bytes long. DATA and
104 TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER. */
105static unsigned long
106get_field (data, order, total_len, start, len)
107 unsigned char *data;
108 enum floatformat_byteorders order;
109 unsigned int total_len;
110 unsigned int start;
111 unsigned int len;
112{
113 unsigned long result;
114 unsigned int cur_byte;
115 int cur_bitshift;
116
117 /* Start at the least significant part of the field. */
118 cur_byte = (start + len) / FLOATFORMAT_CHAR_BIT;
119 if (order == floatformat_little)
120 cur_byte = (total_len / FLOATFORMAT_CHAR_BIT) - cur_byte - 1;
121 cur_bitshift =
122 ((start + len) % FLOATFORMAT_CHAR_BIT) - FLOATFORMAT_CHAR_BIT;
123 result = *(data + cur_byte) >> (-cur_bitshift);
124 cur_bitshift += FLOATFORMAT_CHAR_BIT;
125 if (order == floatformat_little)
126 ++cur_byte;
127 else
128 --cur_byte;
129
130 /* Move towards the most significant part of the field. */
5ad5a984 131 while ((unsigned int) cur_bitshift < len)
6599da04
JM
132 {
133 if (len - cur_bitshift < FLOATFORMAT_CHAR_BIT)
134 /* This is the last byte; zero out the bits which are not part of
135 this field. */
136 result |=
137 (*(data + cur_byte) & ((1 << (len - cur_bitshift)) - 1))
138 << cur_bitshift;
139 else
140 result |= *(data + cur_byte) << cur_bitshift;
141 cur_bitshift += FLOATFORMAT_CHAR_BIT;
142 if (order == floatformat_little)
143 ++cur_byte;
144 else
145 --cur_byte;
146 }
147 return result;
148}
149
150#ifndef min
151#define min(a, b) ((a) < (b) ? (a) : (b))
152#endif
153
154/* Convert from FMT to a double.
155 FROM is the address of the extended float.
156 Store the double in *TO. */
157
158void
159floatformat_to_double (fmt, from, to)
160 const struct floatformat *fmt;
161 char *from;
162 double *to;
163{
164 unsigned char *ufrom = (unsigned char *)from;
165 double dto;
166 long exponent;
167 unsigned long mant;
168 unsigned int mant_bits, mant_off;
169 int mant_bits_left;
170 int special_exponent; /* It's a NaN, denorm or zero */
171
172 exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
173 fmt->exp_start, fmt->exp_len);
174 /* Note that if exponent indicates a NaN, we can't really do anything useful
175 (not knowing if the host has NaN's, or how to build one). So it will
176 end up as an infinity or something close; that is OK. */
177
178 mant_bits_left = fmt->man_len;
179 mant_off = fmt->man_start;
180 dto = 0.0;
181
5ad5a984 182 special_exponent = exponent == 0 || (unsigned long) exponent == fmt->exp_nan;
6599da04
JM
183
184 /* Don't bias zero's, denorms or NaNs. */
185 if (!special_exponent)
186 exponent -= fmt->exp_bias;
187
188 /* Build the result algebraically. Might go infinite, underflow, etc;
189 who cares. */
190
191 /* If this format uses a hidden bit, explicitly add it in now. Otherwise,
192 increment the exponent by one to account for the integer bit. */
193
194 if (!special_exponent)
087aa398
KG
195 {
196 if (fmt->intbit == floatformat_intbit_no)
197 dto = ldexp (1.0, exponent);
198 else
199 exponent++;
200 }
6599da04
JM
201
202 while (mant_bits_left > 0)
203 {
204 mant_bits = min (mant_bits_left, 32);
205
206 mant = get_field (ufrom, fmt->byteorder, fmt->totalsize,
207 mant_off, mant_bits);
208
209 dto += ldexp ((double)mant, exponent - mant_bits);
210 exponent -= mant_bits;
211 mant_off += mant_bits;
212 mant_bits_left -= mant_bits;
213 }
214
215 /* Negate it if negative. */
216 if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
217 dto = -dto;
218 *to = dto;
219}
220\f
221static void put_field PARAMS ((unsigned char *, enum floatformat_byteorders,
222 unsigned int,
223 unsigned int,
224 unsigned int,
225 unsigned long));
226
227/* Set a field which starts at START and is LEN bytes long. DATA and
228 TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER. */
229static void
230put_field (data, order, total_len, start, len, stuff_to_put)
231 unsigned char *data;
232 enum floatformat_byteorders order;
233 unsigned int total_len;
234 unsigned int start;
235 unsigned int len;
236 unsigned long stuff_to_put;
237{
238 unsigned int cur_byte;
239 int cur_bitshift;
240
241 /* Start at the least significant part of the field. */
242 cur_byte = (start + len) / FLOATFORMAT_CHAR_BIT;
243 if (order == floatformat_little)
244 cur_byte = (total_len / FLOATFORMAT_CHAR_BIT) - cur_byte - 1;
245 cur_bitshift =
246 ((start + len) % FLOATFORMAT_CHAR_BIT) - FLOATFORMAT_CHAR_BIT;
247 *(data + cur_byte) &=
248 ~(((1 << ((start + len) % FLOATFORMAT_CHAR_BIT)) - 1) << (-cur_bitshift));
249 *(data + cur_byte) |=
250 (stuff_to_put & ((1 << FLOATFORMAT_CHAR_BIT) - 1)) << (-cur_bitshift);
251 cur_bitshift += FLOATFORMAT_CHAR_BIT;
252 if (order == floatformat_little)
253 ++cur_byte;
254 else
255 --cur_byte;
256
257 /* Move towards the most significant part of the field. */
5ad5a984 258 while ((unsigned int) cur_bitshift < len)
6599da04
JM
259 {
260 if (len - cur_bitshift < FLOATFORMAT_CHAR_BIT)
261 {
262 /* This is the last byte. */
263 *(data + cur_byte) &=
264 ~((1 << (len - cur_bitshift)) - 1);
265 *(data + cur_byte) |= (stuff_to_put >> cur_bitshift);
266 }
267 else
268 *(data + cur_byte) = ((stuff_to_put >> cur_bitshift)
269 & ((1 << FLOATFORMAT_CHAR_BIT) - 1));
270 cur_bitshift += FLOATFORMAT_CHAR_BIT;
271 if (order == floatformat_little)
272 ++cur_byte;
273 else
274 --cur_byte;
275 }
276}
277
278/* The converse: convert the double *FROM to an extended float
279 and store where TO points. Neither FROM nor TO have any alignment
280 restrictions. */
281
282void
283floatformat_from_double (fmt, from, to)
11a0bb74 284 const struct floatformat *fmt;
6599da04
JM
285 double *from;
286 char *to;
287{
288 double dfrom;
289 int exponent;
290 double mant;
291 unsigned int mant_bits, mant_off;
292 int mant_bits_left;
293 unsigned char *uto = (unsigned char *)to;
294
295 memcpy (&dfrom, from, sizeof (dfrom));
296 memset (uto, 0, fmt->totalsize / FLOATFORMAT_CHAR_BIT);
297 if (dfrom == 0)
298 return; /* Result is zero */
299 if (dfrom != dfrom)
300 {
301 /* From is NaN */
302 put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
303 fmt->exp_len, fmt->exp_nan);
304 /* Be sure it's not infinity, but NaN value is irrel */
305 put_field (uto, fmt->byteorder, fmt->totalsize, fmt->man_start,
306 32, 1);
307 return;
308 }
309
310 /* If negative, set the sign bit. */
311 if (dfrom < 0)
312 {
313 put_field (uto, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1, 1);
314 dfrom = -dfrom;
315 }
316
317 /* How to tell an infinity from an ordinary number? FIXME-someday */
318
319 mant = frexp (dfrom, &exponent);
320 put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start, fmt->exp_len,
321 exponent + fmt->exp_bias - 1);
322
323 mant_bits_left = fmt->man_len;
324 mant_off = fmt->man_start;
325 while (mant_bits_left > 0)
326 {
327 unsigned long mant_long;
328 mant_bits = mant_bits_left < 32 ? mant_bits_left : 32;
329
330 mant *= 4294967296.0;
331 mant_long = (unsigned long)mant;
332 mant -= mant_long;
333
334 /* If the integer bit is implicit, then we need to discard it.
335 If we are discarding a zero, we should be (but are not) creating
336 a denormalized number which means adjusting the exponent
337 (I think). */
5ad5a984 338 if ((unsigned int) mant_bits_left == fmt->man_len
6599da04
JM
339 && fmt->intbit == floatformat_intbit_no)
340 {
341 mant_long &= 0x7fffffff;
342 mant_bits -= 1;
343 }
344 else if (mant_bits < 32)
345 {
346 /* The bits we want are in the most significant MANT_BITS bits of
347 mant_long. Move them to the least significant. */
348 mant_long >>= 32 - mant_bits;
349 }
350
351 put_field (uto, fmt->byteorder, fmt->totalsize,
352 mant_off, mant_bits, mant_long);
353 mant_off += mant_bits;
354 mant_bits_left -= mant_bits;
355 }
356}
357
358
359#ifdef IEEE_DEBUG
360
361/* This is to be run on a host which uses IEEE floating point. */
362
363void
364ieee_test (n)
365 double n;
366{
367 double result;
368 char exten[16];
369
370 floatformat_to_double (&floatformat_ieee_double_big, &n, &result);
371 if (n != result)
372 printf ("Differ(to): %.20g -> %.20g\n", n, result);
373 floatformat_from_double (&floatformat_ieee_double_big, &n, &result);
374 if (n != result)
375 printf ("Differ(from): %.20g -> %.20g\n", n, result);
376
377 floatformat_from_double (&floatformat_m68881_ext, &n, exten);
378 floatformat_to_double (&floatformat_m68881_ext, exten, &result);
379 if (n != result)
380 printf ("Differ(to+from): %.20g -> %.20g\n", n, result);
381
382#if IEEE_DEBUG > 1
383 /* This is to be run on a host which uses 68881 format. */
384 {
385 long double ex = *(long double *)exten;
386 if (ex != n)
387 printf ("Differ(from vs. extended): %.20g\n", n);
388 }
389#endif
390}
391
392int
393main ()
394{
395 ieee_test (0.5);
396 ieee_test (256.0);
397 ieee_test (0.12345);
398 ieee_test (234235.78907234);
399 ieee_test (-512.0);
400 ieee_test (-0.004321);
401 return 0;
402}
403#endif