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[thirdparty/gcc.git] / libiberty / floatformat.c
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6599da04
JM
1/* IEEE floating point support routines, for GDB, the GNU Debugger.
2 Copyright (C) 1991, 1994 Free Software Foundation, Inc.
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. */
131 while (cur_bitshift < len)
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
182 special_exponent = exponent == 0 || exponent == fmt->exp_nan;
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)
195 if (fmt->intbit == floatformat_intbit_no)
196 dto = ldexp (1.0, exponent);
197 else
198 exponent++;
199
200 while (mant_bits_left > 0)
201 {
202 mant_bits = min (mant_bits_left, 32);
203
204 mant = get_field (ufrom, fmt->byteorder, fmt->totalsize,
205 mant_off, mant_bits);
206
207 dto += ldexp ((double)mant, exponent - mant_bits);
208 exponent -= mant_bits;
209 mant_off += mant_bits;
210 mant_bits_left -= mant_bits;
211 }
212
213 /* Negate it if negative. */
214 if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
215 dto = -dto;
216 *to = dto;
217}
218\f
219static void put_field PARAMS ((unsigned char *, enum floatformat_byteorders,
220 unsigned int,
221 unsigned int,
222 unsigned int,
223 unsigned long));
224
225/* Set a field which starts at START and is LEN bytes long. DATA and
226 TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER. */
227static void
228put_field (data, order, total_len, start, len, stuff_to_put)
229 unsigned char *data;
230 enum floatformat_byteorders order;
231 unsigned int total_len;
232 unsigned int start;
233 unsigned int len;
234 unsigned long stuff_to_put;
235{
236 unsigned int cur_byte;
237 int cur_bitshift;
238
239 /* Start at the least significant part of the field. */
240 cur_byte = (start + len) / FLOATFORMAT_CHAR_BIT;
241 if (order == floatformat_little)
242 cur_byte = (total_len / FLOATFORMAT_CHAR_BIT) - cur_byte - 1;
243 cur_bitshift =
244 ((start + len) % FLOATFORMAT_CHAR_BIT) - FLOATFORMAT_CHAR_BIT;
245 *(data + cur_byte) &=
246 ~(((1 << ((start + len) % FLOATFORMAT_CHAR_BIT)) - 1) << (-cur_bitshift));
247 *(data + cur_byte) |=
248 (stuff_to_put & ((1 << FLOATFORMAT_CHAR_BIT) - 1)) << (-cur_bitshift);
249 cur_bitshift += FLOATFORMAT_CHAR_BIT;
250 if (order == floatformat_little)
251 ++cur_byte;
252 else
253 --cur_byte;
254
255 /* Move towards the most significant part of the field. */
256 while (cur_bitshift < len)
257 {
258 if (len - cur_bitshift < FLOATFORMAT_CHAR_BIT)
259 {
260 /* This is the last byte. */
261 *(data + cur_byte) &=
262 ~((1 << (len - cur_bitshift)) - 1);
263 *(data + cur_byte) |= (stuff_to_put >> cur_bitshift);
264 }
265 else
266 *(data + cur_byte) = ((stuff_to_put >> cur_bitshift)
267 & ((1 << FLOATFORMAT_CHAR_BIT) - 1));
268 cur_bitshift += FLOATFORMAT_CHAR_BIT;
269 if (order == floatformat_little)
270 ++cur_byte;
271 else
272 --cur_byte;
273 }
274}
275
276/* The converse: convert the double *FROM to an extended float
277 and store where TO points. Neither FROM nor TO have any alignment
278 restrictions. */
279
280void
281floatformat_from_double (fmt, from, to)
11a0bb74 282 const struct floatformat *fmt;
6599da04
JM
283 double *from;
284 char *to;
285{
286 double dfrom;
287 int exponent;
288 double mant;
289 unsigned int mant_bits, mant_off;
290 int mant_bits_left;
291 unsigned char *uto = (unsigned char *)to;
292
293 memcpy (&dfrom, from, sizeof (dfrom));
294 memset (uto, 0, fmt->totalsize / FLOATFORMAT_CHAR_BIT);
295 if (dfrom == 0)
296 return; /* Result is zero */
297 if (dfrom != dfrom)
298 {
299 /* From is NaN */
300 put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
301 fmt->exp_len, fmt->exp_nan);
302 /* Be sure it's not infinity, but NaN value is irrel */
303 put_field (uto, fmt->byteorder, fmt->totalsize, fmt->man_start,
304 32, 1);
305 return;
306 }
307
308 /* If negative, set the sign bit. */
309 if (dfrom < 0)
310 {
311 put_field (uto, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1, 1);
312 dfrom = -dfrom;
313 }
314
315 /* How to tell an infinity from an ordinary number? FIXME-someday */
316
317 mant = frexp (dfrom, &exponent);
318 put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start, fmt->exp_len,
319 exponent + fmt->exp_bias - 1);
320
321 mant_bits_left = fmt->man_len;
322 mant_off = fmt->man_start;
323 while (mant_bits_left > 0)
324 {
325 unsigned long mant_long;
326 mant_bits = mant_bits_left < 32 ? mant_bits_left : 32;
327
328 mant *= 4294967296.0;
329 mant_long = (unsigned long)mant;
330 mant -= mant_long;
331
332 /* If the integer bit is implicit, then we need to discard it.
333 If we are discarding a zero, we should be (but are not) creating
334 a denormalized number which means adjusting the exponent
335 (I think). */
336 if (mant_bits_left == fmt->man_len
337 && fmt->intbit == floatformat_intbit_no)
338 {
339 mant_long &= 0x7fffffff;
340 mant_bits -= 1;
341 }
342 else if (mant_bits < 32)
343 {
344 /* The bits we want are in the most significant MANT_BITS bits of
345 mant_long. Move them to the least significant. */
346 mant_long >>= 32 - mant_bits;
347 }
348
349 put_field (uto, fmt->byteorder, fmt->totalsize,
350 mant_off, mant_bits, mant_long);
351 mant_off += mant_bits;
352 mant_bits_left -= mant_bits;
353 }
354}
355
356
357#ifdef IEEE_DEBUG
358
359/* This is to be run on a host which uses IEEE floating point. */
360
361void
362ieee_test (n)
363 double n;
364{
365 double result;
366 char exten[16];
367
368 floatformat_to_double (&floatformat_ieee_double_big, &n, &result);
369 if (n != result)
370 printf ("Differ(to): %.20g -> %.20g\n", n, result);
371 floatformat_from_double (&floatformat_ieee_double_big, &n, &result);
372 if (n != result)
373 printf ("Differ(from): %.20g -> %.20g\n", n, result);
374
375 floatformat_from_double (&floatformat_m68881_ext, &n, exten);
376 floatformat_to_double (&floatformat_m68881_ext, exten, &result);
377 if (n != result)
378 printf ("Differ(to+from): %.20g -> %.20g\n", n, result);
379
380#if IEEE_DEBUG > 1
381 /* This is to be run on a host which uses 68881 format. */
382 {
383 long double ex = *(long double *)exten;
384 if (ex != n)
385 printf ("Differ(from vs. extended): %.20g\n", n);
386 }
387#endif
388}
389
390int
391main ()
392{
393 ieee_test (0.5);
394 ieee_test (256.0);
395 ieee_test (0.12345);
396 ieee_test (234235.78907234);
397 ieee_test (-512.0);
398 ieee_test (-0.004321);
399 return 0;
400}
401#endif