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985b6196 | 1 | /* real.c - implementation of REAL_ARITHMETIC, REAL_VALUE_ATOF, |
29e11dab | 2 | and support for XFmode IEEE extended real floating point arithmetic. |
af841dbd | 3 | Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998, |
f4f4d0f8 | 4 | 1999, 2000, 2002 Free Software Foundation, Inc. |
c764eafd | 5 | Contributed by Stephen L. Moshier (moshier@world.std.com). |
985b6196 | 6 | |
1322177d | 7 | This file is part of GCC. |
985b6196 | 8 | |
1322177d LB |
9 | GCC is free software; you can redistribute it and/or modify it under |
10 | the terms of the GNU General Public License as published by the Free | |
11 | Software Foundation; either version 2, or (at your option) any later | |
12 | version. | |
985b6196 | 13 | |
1322177d LB |
14 | GCC is distributed in the hope that it will be useful, but WITHOUT ANY |
15 | WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
16 | FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
17 | for more details. | |
985b6196 RS |
18 | |
19 | You should have received a copy of the GNU General Public License | |
1322177d LB |
20 | along with GCC; see the file COPYING. If not, write to the Free |
21 | Software Foundation, 59 Temple Place - Suite 330, Boston, MA | |
22 | 02111-1307, USA. */ | |
985b6196 | 23 | |
e9a25f70 | 24 | #include "config.h" |
670ee920 | 25 | #include "system.h" |
11ad4784 | 26 | #include "real.h" |
985b6196 | 27 | #include "tree.h" |
10f0ad3d | 28 | #include "toplev.h" |
b1afd7f4 | 29 | #include "tm_p.h" |
985b6196 RS |
30 | |
31 | /* To enable support of XFmode extended real floating point, define | |
32 | LONG_DOUBLE_TYPE_SIZE 96 in the tm.h file (m68k.h or i386.h). | |
33 | ||
ba31d94e | 34 | Machine files (tm.h etc) must not contain any code |
985b6196 RS |
35 | that tries to use host floating point arithmetic to convert |
36 | REAL_VALUE_TYPEs from `double' to `float', pass them to fprintf, | |
37 | etc. In cross-compile situations a REAL_VALUE_TYPE may not | |
38 | be intelligible to the host computer's native arithmetic. | |
39 | ||
8c35bbc5 RK |
40 | The first part of this file interfaces gcc to a floating point |
41 | arithmetic suite that was not written with gcc in mind. Avoid | |
42 | changing the low-level arithmetic routines unless you have suitable | |
43 | test programs available. A special version of the PARANOIA floating | |
44 | point arithmetic tester, modified for this purpose, can be found on | |
45 | usc.edu: /pub/C-numanal/ieeetest.zoo. Other tests, and libraries of | |
46 | XFmode and TFmode transcendental functions, can be obtained by ftp from | |
6d2f8887 | 47 | netlib.att.com: netlib/cephes. */ |
775ba35d | 48 | \f |
985b6196 | 49 | /* Type of computer arithmetic. |
9ec36da5 | 50 | Only one of DEC, IBM, IEEE, C4X, or UNK should get defined. |
f76b9db2 | 51 | |
8c35bbc5 | 52 | `IEEE', when REAL_WORDS_BIG_ENDIAN is non-zero, refers generically |
f76b9db2 ILT |
53 | to big-endian IEEE floating-point data structure. This definition |
54 | should work in SFmode `float' type and DFmode `double' type on | |
55 | virtually all big-endian IEEE machines. If LONG_DOUBLE_TYPE_SIZE | |
56 | has been defined to be 96, then IEEE also invokes the particular | |
57 | XFmode (`long double' type) data structure used by the Motorola | |
58 | 680x0 series processors. | |
59 | ||
8c35bbc5 | 60 | `IEEE', when REAL_WORDS_BIG_ENDIAN is zero, refers generally to |
f76b9db2 ILT |
61 | little-endian IEEE machines. In this case, if LONG_DOUBLE_TYPE_SIZE |
62 | has been defined to be 96, then IEEE also invokes the particular | |
63 | XFmode `long double' data structure used by the Intel 80x86 series | |
64 | processors. | |
66b6d60b RS |
65 | |
66 | `DEC' refers specifically to the Digital Equipment Corp PDP-11 | |
67 | and VAX floating point data structure. This model currently | |
68 | supports no type wider than DFmode. | |
69 | ||
842fbaaa JW |
70 | `IBM' refers specifically to the IBM System/370 and compatible |
71 | floating point data structure. This model currently supports | |
72 | no type wider than DFmode. The IBM conversions were contributed by | |
73 | frank@atom.ansto.gov.au (Frank Crawford). | |
74 | ||
9ec36da5 JL |
75 | `C4X' refers specifically to the floating point format used on |
76 | Texas Instruments TMS320C3x and TMS320C4x digital signal | |
77 | processors. This supports QFmode (32-bit float, double) and HFmode | |
506b012c HB |
78 | (40-bit long double) where BITS_PER_BYTE is 32. Unlike IEEE |
79 | floats, C4x floats are not rounded to be even. The C4x conversions | |
80 | were contributed by m.hayes@elec.canterbury.ac.nz (Michael Hayes) and | |
81 | Haj.Ten.Brugge@net.HCC.nl (Herman ten Brugge). | |
9ec36da5 | 82 | |
66b6d60b RS |
83 | If LONG_DOUBLE_TYPE_SIZE = 64 (the default, unless tm.h defines it) |
84 | then `long double' and `double' are both implemented, but they | |
ba31d94e | 85 | both mean DFmode. |
66b6d60b RS |
86 | |
87 | The case LONG_DOUBLE_TYPE_SIZE = 128 activates TFmode support | |
842fbaaa | 88 | and may deactivate XFmode since `long double' is used to refer |
23c108af SE |
89 | to both modes. Defining INTEL_EXTENDED_IEEE_FORMAT to non-zero |
90 | at the same time enables 80387-style 80-bit floats in a 128-bit | |
91 | padded image, as seen on IA-64. | |
b51ab098 RK |
92 | |
93 | The macros FLOAT_WORDS_BIG_ENDIAN, HOST_FLOAT_WORDS_BIG_ENDIAN, | |
94 | contributed by Richard Earnshaw <Richard.Earnshaw@cl.cam.ac.uk>, | |
95 | separate the floating point unit's endian-ness from that of | |
96 | the integer addressing. This permits one to define a big-endian | |
97 | FPU on a little-endian machine (e.g., ARM). An extension to | |
98 | BYTES_BIG_ENDIAN may be required for some machines in the future. | |
99 | These optional macros may be defined in tm.h. In real.h, they | |
100 | default to WORDS_BIG_ENDIAN, etc., so there is no need to define | |
101 | them for any normal host or target machine on which the floats | |
6d2f8887 | 102 | and the integers have the same endian-ness. */ |
b51ab098 | 103 | |
66b6d60b RS |
104 | |
105 | /* The following converts gcc macros into the ones used by this file. */ | |
106 | ||
985b6196 RS |
107 | #if TARGET_FLOAT_FORMAT == VAX_FLOAT_FORMAT |
108 | /* PDP-11, Pro350, VAX: */ | |
109 | #define DEC 1 | |
110 | #else /* it's not VAX */ | |
842fbaaa JW |
111 | #if TARGET_FLOAT_FORMAT == IBM_FLOAT_FORMAT |
112 | /* IBM System/370 style */ | |
113 | #define IBM 1 | |
114 | #else /* it's also not an IBM */ | |
f5963e61 JL |
115 | #if TARGET_FLOAT_FORMAT == C4X_FLOAT_FORMAT |
116 | /* TMS320C3x/C4x style */ | |
117 | #define C4X 1 | |
118 | #else /* it's also not a C4X */ | |
985b6196 | 119 | #if TARGET_FLOAT_FORMAT == IEEE_FLOAT_FORMAT |
f76b9db2 | 120 | #define IEEE |
985b6196 | 121 | #else /* it's not IEEE either */ |
0f41302f | 122 | /* UNKnown arithmetic. We don't support this and can't go on. */ |
985b6196 RS |
123 | unknown arithmetic type |
124 | #define UNK 1 | |
125 | #endif /* not IEEE */ | |
f5963e61 | 126 | #endif /* not C4X */ |
842fbaaa | 127 | #endif /* not IBM */ |
985b6196 RS |
128 | #endif /* not VAX */ |
129 | ||
8c35bbc5 RK |
130 | #define REAL_WORDS_BIG_ENDIAN FLOAT_WORDS_BIG_ENDIAN |
131 | ||
4b7e68e7 | 132 | /* Make sure that the endianness is correct for IBM and DEC. */ |
45e574d0 JDA |
133 | #if defined(DEC) |
134 | #undef LARGEST_EXPONENT_IS_NORMAL | |
135 | #define LARGEST_EXPONENT_IS_NORMAL(x) 1 | |
136 | #undef REAL_WORDS_BIG_ENDIAN | |
137 | /* Strangely enough, DEC float most closely resembles big endian IEEE */ | |
138 | #define REAL_WORDS_BIG_ENDIAN 1 | |
4b7e68e7 | 139 | /* ... but the halfwords are reversed from IEEE big endian. */ |
45e574d0 JDA |
140 | #ifndef VAX_HALFWORD_ORDER |
141 | #define VAX_HALFWORD_ORDER 1 | |
142 | #endif | |
143 | #else | |
3717da94 JT |
144 | #if defined(IBM) |
145 | #if !REAL_WORDS_BIG_ENDIAN | |
45e574d0 JDA |
146 | #error "Little-endian representations are not supported for IBM." |
147 | #endif | |
148 | #endif | |
3717da94 | 149 | #endif |
45e574d0 JDA |
150 | |
151 | #if defined(DEC) && !defined (TARGET_G_FLOAT) | |
152 | #define TARGET_G_FLOAT 0 | |
153 | #endif | |
154 | ||
155 | #ifndef VAX_HALFWORD_ORDER | |
156 | #define VAX_HALFWORD_ORDER 0 | |
157 | #endif | |
158 | ||
66b6d60b RS |
159 | /* Define INFINITY for support of infinity. |
160 | Define NANS for support of Not-a-Number's (NaN's). */ | |
f5963e61 | 161 | #if !defined(DEC) && !defined(IBM) && !defined(C4X) |
985b6196 | 162 | #define INFINITY |
66b6d60b | 163 | #define NANS |
985b6196 RS |
164 | #endif |
165 | ||
0f41302f | 166 | /* Support of NaNs requires support of infinity. */ |
66b6d60b RS |
167 | #ifdef NANS |
168 | #ifndef INFINITY | |
169 | #define INFINITY | |
170 | #endif | |
171 | #endif | |
775ba35d | 172 | \f |
985b6196 | 173 | /* Find a host integer type that is at least 16 bits wide, |
0f41302f | 174 | and another type at least twice whatever that size is. */ |
985b6196 RS |
175 | |
176 | #if HOST_BITS_PER_CHAR >= 16 | |
177 | #define EMUSHORT char | |
178 | #define EMUSHORT_SIZE HOST_BITS_PER_CHAR | |
179 | #define EMULONG_SIZE (2 * HOST_BITS_PER_CHAR) | |
180 | #else | |
181 | #if HOST_BITS_PER_SHORT >= 16 | |
182 | #define EMUSHORT short | |
183 | #define EMUSHORT_SIZE HOST_BITS_PER_SHORT | |
184 | #define EMULONG_SIZE (2 * HOST_BITS_PER_SHORT) | |
185 | #else | |
186 | #if HOST_BITS_PER_INT >= 16 | |
187 | #define EMUSHORT int | |
188 | #define EMUSHORT_SIZE HOST_BITS_PER_INT | |
189 | #define EMULONG_SIZE (2 * HOST_BITS_PER_INT) | |
190 | #else | |
191 | #if HOST_BITS_PER_LONG >= 16 | |
192 | #define EMUSHORT long | |
193 | #define EMUSHORT_SIZE HOST_BITS_PER_LONG | |
194 | #define EMULONG_SIZE (2 * HOST_BITS_PER_LONG) | |
195 | #else | |
46468cd9 | 196 | #error "You will have to modify this program to have a smaller unit size." |
985b6196 RS |
197 | #endif |
198 | #endif | |
199 | #endif | |
200 | #endif | |
201 | ||
177b41eb RL |
202 | /* If no 16-bit type has been found and the compiler is GCC, try HImode. */ |
203 | #if defined(__GNUC__) && EMUSHORT_SIZE != 16 | |
204 | typedef int HItype __attribute__ ((mode (HI))); | |
205 | typedef unsigned int UHItype __attribute__ ((mode (HI))); | |
206 | #undef EMUSHORT | |
207 | #undef EMUSHORT_SIZE | |
208 | #undef EMULONG_SIZE | |
209 | #define EMUSHORT HItype | |
210 | #define UEMUSHORT UHItype | |
211 | #define EMUSHORT_SIZE 16 | |
212 | #define EMULONG_SIZE 32 | |
213 | #else | |
214 | #define UEMUSHORT unsigned EMUSHORT | |
215 | #endif | |
216 | ||
985b6196 RS |
217 | #if HOST_BITS_PER_SHORT >= EMULONG_SIZE |
218 | #define EMULONG short | |
219 | #else | |
220 | #if HOST_BITS_PER_INT >= EMULONG_SIZE | |
221 | #define EMULONG int | |
222 | #else | |
223 | #if HOST_BITS_PER_LONG >= EMULONG_SIZE | |
224 | #define EMULONG long | |
225 | #else | |
e9a25f70 | 226 | #if HOST_BITS_PER_LONGLONG >= EMULONG_SIZE |
985b6196 RS |
227 | #define EMULONG long long int |
228 | #else | |
46468cd9 | 229 | #error "You will have to modify this program to have a smaller unit size." |
985b6196 RS |
230 | #endif |
231 | #endif | |
232 | #endif | |
233 | #endif | |
234 | ||
985b6196 | 235 | #if EMUSHORT_SIZE != 16 |
46468cd9 | 236 | #error "The host interface doesn't work if no 16-bit size exists." |
985b6196 RS |
237 | #endif |
238 | ||
46468cd9 | 239 | /* Calculate the size of the generic "e" type. This always has |
9f92d250 AS |
240 | identical in-memory size to REAL_VALUE_TYPE. The sizes are supposed |
241 | to be the same as well, but when REAL_VALUE_TYPE_SIZE is not evenly | |
242 | divisible by HOST_BITS_PER_WIDE_INT we have some padding in | |
243 | REAL_VALUE_TYPE. | |
46468cd9 ZW |
244 | There are only two supported sizes: ten and six 16-bit words (160 |
245 | or 96 bits). */ | |
985b6196 | 246 | |
46468cd9 ZW |
247 | #if MAX_LONG_DOUBLE_TYPE_SIZE == 128 && !INTEL_EXTENDED_IEEE_FORMAT |
248 | /* TFmode */ | |
249 | # define NE 10 | |
250 | # define MAXDECEXP 4932 | |
251 | # define MINDECEXP -4977 | |
252 | #else | |
3f622353 RH |
253 | # define NE 6 |
254 | # define MAXDECEXP 4932 | |
255 | # define MINDECEXP -4956 | |
46468cd9 ZW |
256 | #endif |
257 | ||
a6a2274a | 258 | /* Fail compilation if 2*NE is not the appropriate size. |
62a12b27 AS |
259 | If HOST_BITS_PER_WIDE_INT is 64, we're going to have padding |
260 | at the end of the array, because neither 96 nor 160 is | |
261 | evenly divisible by 64. */ | |
46468cd9 ZW |
262 | struct compile_test_dummy { |
263 | char twice_NE_must_equal_sizeof_REAL_VALUE_TYPE | |
62a12b27 | 264 | [(sizeof (REAL_VALUE_TYPE) >= 2*NE) ? 1 : -1]; |
46468cd9 | 265 | }; |
985b6196 | 266 | |
46468cd9 ZW |
267 | /* Construct macros to translate between REAL_VALUE_TYPE and e type. |
268 | In GET_REAL and PUT_REAL, r and e are pointers. | |
269 | A REAL_VALUE_TYPE is guaranteed to occupy contiguous locations | |
270 | in memory, with no holes. */ | |
271 | #define GET_REAL(r, e) memcpy ((e), (r), 2*NE) | |
62a12b27 AS |
272 | #define PUT_REAL(e, r) \ |
273 | do { \ | |
274 | memcpy (r, e, 2*NE); \ | |
275 | if (2*NE < sizeof (*r)) \ | |
276 | memset ((char *) (r) + 2*NE, 0, sizeof (*r) - 2*NE); \ | |
277 | } while (0) | |
842fbaaa JW |
278 | |
279 | /* Number of 16 bit words in internal format */ | |
280 | #define NI (NE+3) | |
281 | ||
282 | /* Array offset to exponent */ | |
283 | #define E 1 | |
284 | ||
285 | /* Array offset to high guard word */ | |
286 | #define M 2 | |
287 | ||
288 | /* Number of bits of precision */ | |
289 | #define NBITS ((NI-4)*16) | |
290 | ||
291 | /* Maximum number of decimal digits in ASCII conversion | |
292 | * = NBITS*log10(2) | |
293 | */ | |
294 | #define NDEC (NBITS*8/27) | |
295 | ||
296 | /* The exponent of 1.0 */ | |
297 | #define EXONE (0x3fff) | |
298 | ||
5f6d3823 DP |
299 | #if defined(HOST_EBCDIC) |
300 | /* bit 8 is significant in EBCDIC */ | |
301 | #define CHARMASK 0xff | |
302 | #else | |
303 | #define CHARMASK 0x7f | |
304 | #endif | |
305 | ||
45e574d0 JDA |
306 | /* Information about the various IEEE precisions. At the moment, we only |
307 | support exponents of 15 bits or less. */ | |
308 | struct ieee_format | |
309 | { | |
310 | /* Precision. */ | |
311 | int precision; | |
312 | ||
313 | /* Size of the exponent in bits. */ | |
314 | int expbits; | |
315 | ||
316 | /* Overall size of the value in bits. */ | |
317 | int bits; | |
318 | ||
319 | /* Mode used for representing the value. */ | |
320 | enum machine_mode mode; | |
321 | ||
322 | /* Exponent adjustment for offsets. */ | |
323 | EMULONG adjustment; | |
324 | }; | |
325 | ||
0cd2fb44 | 326 | #ifdef IEEE |
45e574d0 JDA |
327 | /* IEEE float (24 bits). */ |
328 | static const struct ieee_format ieee_24 = | |
329 | { | |
330 | 24, | |
331 | 8, | |
332 | 32, | |
333 | SFmode, | |
334 | EXONE - 0x7f | |
335 | }; | |
336 | ||
337 | /* IEEE double (53 bits). */ | |
338 | static const struct ieee_format ieee_53 = | |
339 | { | |
340 | 53, | |
341 | 11, | |
342 | 64, | |
343 | DFmode, | |
344 | EXONE - 0x3ff | |
345 | }; | |
346 | ||
d71f7700 KG |
347 | #endif /* IEEE */ |
348 | ||
45e574d0 JDA |
349 | /* IEEE extended double (64 bits). */ |
350 | static const struct ieee_format ieee_64 = | |
351 | { | |
352 | 64, | |
353 | 15, | |
354 | 80, | |
355 | XFmode, | |
356 | 0 | |
357 | }; | |
358 | ||
d71f7700 | 359 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
45e574d0 JDA |
360 | /* IEEE long double (113 bits). */ |
361 | static const struct ieee_format ieee_113 = | |
362 | { | |
363 | 113, | |
364 | 15, | |
365 | 128, | |
366 | TFmode, | |
367 | 0 | |
368 | }; | |
d71f7700 | 369 | #endif /* INTEL_EXTENDED_IEEE_FORMAT == 0 */ |
45e574d0 | 370 | |
0cd2fb44 | 371 | #ifdef DEC |
45e574d0 JDA |
372 | /* DEC F float (24 bits). */ |
373 | static const struct ieee_format dec_f = | |
374 | { | |
375 | 24, | |
376 | 8, | |
377 | 32, | |
378 | SFmode, | |
379 | EXONE - 0201 | |
380 | }; | |
381 | ||
382 | /* DEC D float (56 bits). */ | |
383 | static const struct ieee_format dec_d = | |
384 | { | |
385 | 56, | |
386 | 8, | |
387 | 64, | |
388 | DFmode, | |
389 | EXONE - 0201 | |
390 | }; | |
391 | ||
392 | /* DEC G float (53 bits). */ | |
393 | static const struct ieee_format dec_g = | |
394 | { | |
395 | 53, | |
396 | 11, | |
397 | 64, | |
398 | DFmode, | |
399 | EXONE - 1025 | |
400 | }; | |
401 | ||
d71f7700 | 402 | #if 0 |
45e574d0 JDA |
403 | /* DEC H float (113 bits). (not yet used) */ |
404 | static const struct ieee_format dec_h = | |
405 | { | |
406 | 113, | |
407 | 15, | |
408 | 128, | |
409 | TFmode, | |
410 | EXONE - 16385 | |
411 | }; | |
0cd2fb44 | 412 | #endif |
d71f7700 | 413 | #endif /* DEC */ |
45e574d0 | 414 | |
64685ffa | 415 | extern int extra_warnings; |
0c5d8c82 KG |
416 | extern const UEMUSHORT ezero[NE], ehalf[NE], eone[NE], etwo[NE]; |
417 | extern const UEMUSHORT elog2[NE], esqrt2[NE]; | |
a0353055 | 418 | |
0c5d8c82 | 419 | static void endian PARAMS ((const UEMUSHORT *, long *, |
a0353055 | 420 | enum machine_mode)); |
177b41eb | 421 | static void eclear PARAMS ((UEMUSHORT *)); |
0c5d8c82 | 422 | static void emov PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
7a87758d | 423 | #if 0 |
177b41eb | 424 | static void eabs PARAMS ((UEMUSHORT *)); |
7a87758d | 425 | #endif |
177b41eb | 426 | static void eneg PARAMS ((UEMUSHORT *)); |
0c5d8c82 KG |
427 | static int eisneg PARAMS ((const UEMUSHORT *)); |
428 | static int eisinf PARAMS ((const UEMUSHORT *)); | |
429 | static int eisnan PARAMS ((const UEMUSHORT *)); | |
177b41eb | 430 | static void einfin PARAMS ((UEMUSHORT *)); |
b42b4d2c | 431 | #ifdef NANS |
177b41eb RL |
432 | static void enan PARAMS ((UEMUSHORT *, int)); |
433 | static void einan PARAMS ((UEMUSHORT *)); | |
0c5d8c82 | 434 | static int eiisnan PARAMS ((const UEMUSHORT *)); |
177b41eb RL |
435 | static void make_nan PARAMS ((UEMUSHORT *, int, enum machine_mode)); |
436 | #endif | |
bc185257 | 437 | static int eiisneg PARAMS ((const UEMUSHORT *)); |
3fcaac1d | 438 | static void saturate PARAMS ((UEMUSHORT *, int, int, int)); |
0c5d8c82 KG |
439 | static void emovi PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
440 | static void emovo PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
177b41eb RL |
441 | static void ecleaz PARAMS ((UEMUSHORT *)); |
442 | static void ecleazs PARAMS ((UEMUSHORT *)); | |
0c5d8c82 | 443 | static void emovz PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
7a87758d | 444 | #if 0 |
177b41eb | 445 | static void eiinfin PARAMS ((UEMUSHORT *)); |
7a87758d | 446 | #endif |
b42b4d2c | 447 | #ifdef INFINITY |
0c5d8c82 | 448 | static int eiisinf PARAMS ((const UEMUSHORT *)); |
177b41eb | 449 | #endif |
0c5d8c82 | 450 | static int ecmpm PARAMS ((const UEMUSHORT *, const UEMUSHORT *)); |
177b41eb RL |
451 | static void eshdn1 PARAMS ((UEMUSHORT *)); |
452 | static void eshup1 PARAMS ((UEMUSHORT *)); | |
453 | static void eshdn8 PARAMS ((UEMUSHORT *)); | |
454 | static void eshup8 PARAMS ((UEMUSHORT *)); | |
455 | static void eshup6 PARAMS ((UEMUSHORT *)); | |
456 | static void eshdn6 PARAMS ((UEMUSHORT *)); | |
0c5d8c82 KG |
457 | static void eaddm PARAMS ((const UEMUSHORT *, UEMUSHORT *));\f |
458 | static void esubm PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
459 | static void m16m PARAMS ((unsigned int, const UEMUSHORT *, UEMUSHORT *)); | |
460 | static int edivm PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
461 | static int emulm PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
177b41eb | 462 | static void emdnorm PARAMS ((UEMUSHORT *, int, int, EMULONG, int)); |
0c5d8c82 KG |
463 | static void esub PARAMS ((const UEMUSHORT *, const UEMUSHORT *, |
464 | UEMUSHORT *)); | |
465 | static void eadd PARAMS ((const UEMUSHORT *, const UEMUSHORT *, | |
466 | UEMUSHORT *)); | |
467 | static void eadd1 PARAMS ((const UEMUSHORT *, const UEMUSHORT *, | |
468 | UEMUSHORT *)); | |
469 | static void ediv PARAMS ((const UEMUSHORT *, const UEMUSHORT *, | |
470 | UEMUSHORT *)); | |
471 | static void emul PARAMS ((const UEMUSHORT *, const UEMUSHORT *, | |
472 | UEMUSHORT *)); | |
473 | static void e53toe PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
474 | static void e64toe PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
23c108af | 475 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
0c5d8c82 | 476 | static void e113toe PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
177b41eb | 477 | #endif |
0c5d8c82 | 478 | static void e24toe PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
e6724881 | 479 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
0c5d8c82 | 480 | static void etoe113 PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
177b41eb | 481 | static void toe113 PARAMS ((UEMUSHORT *, UEMUSHORT *)); |
e6724881 | 482 | #endif |
0c5d8c82 | 483 | static void etoe64 PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
177b41eb | 484 | static void toe64 PARAMS ((UEMUSHORT *, UEMUSHORT *)); |
0c5d8c82 | 485 | static void etoe53 PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
177b41eb | 486 | static void toe53 PARAMS ((UEMUSHORT *, UEMUSHORT *)); |
0c5d8c82 | 487 | static void etoe24 PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
177b41eb | 488 | static void toe24 PARAMS ((UEMUSHORT *, UEMUSHORT *)); |
45e574d0 JDA |
489 | static void ieeetoe PARAMS ((const UEMUSHORT *, UEMUSHORT *, |
490 | const struct ieee_format *)); | |
491 | static void etoieee PARAMS ((const UEMUSHORT *, UEMUSHORT *, | |
492 | const struct ieee_format *)); | |
493 | static void toieee PARAMS ((UEMUSHORT *, UEMUSHORT *, | |
494 | const struct ieee_format *)); | |
0c5d8c82 | 495 | static int ecmp PARAMS ((const UEMUSHORT *, const UEMUSHORT *)); |
7a87758d | 496 | #if 0 |
0c5d8c82 KG |
497 | static void eround PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
498 | #endif | |
499 | static void ltoe PARAMS ((const HOST_WIDE_INT *, UEMUSHORT *)); | |
500 | static void ultoe PARAMS ((const unsigned HOST_WIDE_INT *, UEMUSHORT *)); | |
501 | static void eifrac PARAMS ((const UEMUSHORT *, HOST_WIDE_INT *, | |
502 | UEMUSHORT *)); | |
503 | static void euifrac PARAMS ((const UEMUSHORT *, unsigned HOST_WIDE_INT *, | |
504 | UEMUSHORT *)); | |
177b41eb RL |
505 | static int eshift PARAMS ((UEMUSHORT *, int)); |
506 | static int enormlz PARAMS ((UEMUSHORT *)); | |
7a87758d | 507 | #if 0 |
0c5d8c82 KG |
508 | static void e24toasc PARAMS ((const UEMUSHORT *, char *, int)); |
509 | static void e53toasc PARAMS ((const UEMUSHORT *, char *, int)); | |
510 | static void e64toasc PARAMS ((const UEMUSHORT *, char *, int)); | |
511 | static void e113toasc PARAMS ((const UEMUSHORT *, char *, int)); | |
7a87758d | 512 | #endif /* 0 */ |
0c5d8c82 | 513 | static void etoasc PARAMS ((const UEMUSHORT *, char *, int)); |
177b41eb RL |
514 | static void asctoe24 PARAMS ((const char *, UEMUSHORT *)); |
515 | static void asctoe53 PARAMS ((const char *, UEMUSHORT *)); | |
516 | static void asctoe64 PARAMS ((const char *, UEMUSHORT *)); | |
23c108af | 517 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
177b41eb | 518 | static void asctoe113 PARAMS ((const char *, UEMUSHORT *)); |
0024a804 | 519 | #endif |
177b41eb RL |
520 | static void asctoe PARAMS ((const char *, UEMUSHORT *)); |
521 | static void asctoeg PARAMS ((const char *, UEMUSHORT *, int)); | |
0c5d8c82 | 522 | static void efloor PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
8468c4a4 | 523 | #if 0 |
0c5d8c82 KG |
524 | static void efrexp PARAMS ((const UEMUSHORT *, int *, |
525 | UEMUSHORT *)); | |
8468c4a4 | 526 | #endif |
0c5d8c82 | 527 | static void eldexp PARAMS ((const UEMUSHORT *, int, UEMUSHORT *)); |
8468c4a4 | 528 | #if 0 |
0c5d8c82 KG |
529 | static void eremain PARAMS ((const UEMUSHORT *, const UEMUSHORT *, |
530 | UEMUSHORT *)); | |
8468c4a4 | 531 | #endif |
177b41eb | 532 | static void eiremain PARAMS ((UEMUSHORT *, UEMUSHORT *)); |
957e4763 | 533 | static void mtherr PARAMS ((const char *, int)); |
e9a25f70 | 534 | #ifdef DEC |
0c5d8c82 KG |
535 | static void dectoe PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
536 | static void etodec PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
177b41eb | 537 | static void todec PARAMS ((UEMUSHORT *, UEMUSHORT *)); |
e9a25f70 JL |
538 | #endif |
539 | #ifdef IBM | |
0c5d8c82 KG |
540 | static void ibmtoe PARAMS ((const UEMUSHORT *, UEMUSHORT *, |
541 | enum machine_mode)); | |
542 | static void etoibm PARAMS ((const UEMUSHORT *, UEMUSHORT *, | |
543 | enum machine_mode)); | |
177b41eb | 544 | static void toibm PARAMS ((UEMUSHORT *, UEMUSHORT *, |
0c5d8c82 | 545 | enum machine_mode)); |
e9a25f70 | 546 | #endif |
f5963e61 | 547 | #ifdef C4X |
0c5d8c82 KG |
548 | static void c4xtoe PARAMS ((const UEMUSHORT *, UEMUSHORT *, |
549 | enum machine_mode)); | |
550 | static void etoc4x PARAMS ((const UEMUSHORT *, UEMUSHORT *, | |
551 | enum machine_mode)); | |
177b41eb | 552 | static void toc4x PARAMS ((UEMUSHORT *, UEMUSHORT *, |
0c5d8c82 | 553 | enum machine_mode)); |
f5963e61 | 554 | #endif |
8468c4a4 | 555 | #if 0 |
0c5d8c82 KG |
556 | static void uditoe PARAMS ((const UEMUSHORT *, UEMUSHORT *)); |
557 | static void ditoe PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
558 | static void etoudi PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
559 | static void etodi PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
560 | static void esqrt PARAMS ((const UEMUSHORT *, UEMUSHORT *)); | |
8468c4a4 | 561 | #endif |
775ba35d | 562 | \f |
b51ab098 RK |
563 | /* Copy 32-bit numbers obtained from array containing 16-bit numbers, |
564 | swapping ends if required, into output array of longs. The | |
6d2f8887 | 565 | result is normally passed to fprintf by the ASM_OUTPUT_ macros. */ |
a0353055 | 566 | |
b6ca239d | 567 | static void |
985b6196 | 568 | endian (e, x, mode) |
0c5d8c82 | 569 | const UEMUSHORT e[]; |
985b6196 RS |
570 | long x[]; |
571 | enum machine_mode mode; | |
572 | { | |
573 | unsigned long th, t; | |
574 | ||
45e574d0 | 575 | if (REAL_WORDS_BIG_ENDIAN && !VAX_HALFWORD_ORDER) |
985b6196 | 576 | { |
f76b9db2 ILT |
577 | switch (mode) |
578 | { | |
f76b9db2 | 579 | case TFmode: |
23c108af | 580 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
0f41302f | 581 | /* Swap halfwords in the fourth long. */ |
f76b9db2 ILT |
582 | th = (unsigned long) e[6] & 0xffff; |
583 | t = (unsigned long) e[7] & 0xffff; | |
584 | t |= th << 16; | |
585 | x[3] = (long) t; | |
e6724881 RH |
586 | #else |
587 | x[3] = 0; | |
3f622353 | 588 | #endif |
e6724881 | 589 | /* FALLTHRU */ |
f76b9db2 ILT |
590 | |
591 | case XFmode: | |
0f41302f | 592 | /* Swap halfwords in the third long. */ |
f76b9db2 ILT |
593 | th = (unsigned long) e[4] & 0xffff; |
594 | t = (unsigned long) e[5] & 0xffff; | |
595 | t |= th << 16; | |
596 | x[2] = (long) t; | |
e6724881 | 597 | /* FALLTHRU */ |
f76b9db2 ILT |
598 | |
599 | case DFmode: | |
f5963e61 | 600 | /* Swap halfwords in the second word. */ |
f76b9db2 ILT |
601 | th = (unsigned long) e[2] & 0xffff; |
602 | t = (unsigned long) e[3] & 0xffff; | |
603 | t |= th << 16; | |
604 | x[1] = (long) t; | |
e6724881 | 605 | /* FALLTHRU */ |
f76b9db2 | 606 | |
f76b9db2 | 607 | case SFmode: |
f5963e61 JL |
608 | case HFmode: |
609 | /* Swap halfwords in the first word. */ | |
f76b9db2 ILT |
610 | th = (unsigned long) e[0] & 0xffff; |
611 | t = (unsigned long) e[1] & 0xffff; | |
612 | t |= th << 16; | |
f250a0bc | 613 | x[0] = (long) t; |
f76b9db2 | 614 | break; |
985b6196 | 615 | |
f76b9db2 ILT |
616 | default: |
617 | abort (); | |
618 | } | |
985b6196 | 619 | } |
f76b9db2 | 620 | else |
985b6196 | 621 | { |
0f41302f | 622 | /* Pack the output array without swapping. */ |
985b6196 | 623 | |
f76b9db2 ILT |
624 | switch (mode) |
625 | { | |
f76b9db2 | 626 | case TFmode: |
23c108af | 627 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
0f41302f | 628 | /* Pack the fourth long. */ |
f76b9db2 ILT |
629 | th = (unsigned long) e[7] & 0xffff; |
630 | t = (unsigned long) e[6] & 0xffff; | |
631 | t |= th << 16; | |
632 | x[3] = (long) t; | |
e6724881 RH |
633 | #else |
634 | x[3] = 0; | |
3f622353 | 635 | #endif |
e6724881 | 636 | /* FALLTHRU */ |
f76b9db2 ILT |
637 | |
638 | case XFmode: | |
f76b9db2 ILT |
639 | /* Pack the third long. |
640 | Each element of the input REAL_VALUE_TYPE array has 16 useful bits | |
641 | in it. */ | |
642 | th = (unsigned long) e[5] & 0xffff; | |
643 | t = (unsigned long) e[4] & 0xffff; | |
644 | t |= th << 16; | |
645 | x[2] = (long) t; | |
e6724881 | 646 | /* FALLTHRU */ |
f76b9db2 ILT |
647 | |
648 | case DFmode: | |
f5963e61 | 649 | /* Pack the second long */ |
f76b9db2 ILT |
650 | th = (unsigned long) e[3] & 0xffff; |
651 | t = (unsigned long) e[2] & 0xffff; | |
652 | t |= th << 16; | |
653 | x[1] = (long) t; | |
e6724881 | 654 | /* FALLTHRU */ |
f76b9db2 | 655 | |
f76b9db2 | 656 | case SFmode: |
f5963e61 JL |
657 | case HFmode: |
658 | /* Pack the first long */ | |
f76b9db2 ILT |
659 | th = (unsigned long) e[1] & 0xffff; |
660 | t = (unsigned long) e[0] & 0xffff; | |
661 | t |= th << 16; | |
f250a0bc | 662 | x[0] = (long) t; |
f76b9db2 | 663 | break; |
985b6196 | 664 | |
f76b9db2 ILT |
665 | default: |
666 | abort (); | |
667 | } | |
985b6196 | 668 | } |
985b6196 RS |
669 | } |
670 | ||
671 | ||
defb5dab | 672 | /* This is the implementation of the REAL_ARITHMETIC macro. */ |
a0353055 | 673 | |
b6ca239d | 674 | void |
985b6196 RS |
675 | earith (value, icode, r1, r2) |
676 | REAL_VALUE_TYPE *value; | |
677 | int icode; | |
678 | REAL_VALUE_TYPE *r1; | |
679 | REAL_VALUE_TYPE *r2; | |
680 | { | |
177b41eb | 681 | UEMUSHORT d1[NE], d2[NE], v[NE]; |
985b6196 RS |
682 | enum tree_code code; |
683 | ||
684 | GET_REAL (r1, d1); | |
685 | GET_REAL (r2, d2); | |
66b6d60b | 686 | #ifdef NANS |
0f41302f | 687 | /* Return NaN input back to the caller. */ |
66b6d60b RS |
688 | if (eisnan (d1)) |
689 | { | |
690 | PUT_REAL (d1, value); | |
691 | return; | |
692 | } | |
693 | if (eisnan (d2)) | |
694 | { | |
695 | PUT_REAL (d2, value); | |
696 | return; | |
697 | } | |
698 | #endif | |
985b6196 RS |
699 | code = (enum tree_code) icode; |
700 | switch (code) | |
701 | { | |
702 | case PLUS_EXPR: | |
703 | eadd (d2, d1, v); | |
704 | break; | |
705 | ||
706 | case MINUS_EXPR: | |
707 | esub (d2, d1, v); /* d1 - d2 */ | |
708 | break; | |
709 | ||
710 | case MULT_EXPR: | |
711 | emul (d2, d1, v); | |
712 | break; | |
713 | ||
714 | case RDIV_EXPR: | |
b216cd4a | 715 | #ifndef INFINITY |
985b6196 RS |
716 | if (ecmp (d2, ezero) == 0) |
717 | abort (); | |
718 | #endif | |
719 | ediv (d2, d1, v); /* d1/d2 */ | |
720 | break; | |
721 | ||
722 | case MIN_EXPR: /* min (d1,d2) */ | |
723 | if (ecmp (d1, d2) < 0) | |
724 | emov (d1, v); | |
725 | else | |
726 | emov (d2, v); | |
727 | break; | |
728 | ||
729 | case MAX_EXPR: /* max (d1,d2) */ | |
730 | if (ecmp (d1, d2) > 0) | |
731 | emov (d1, v); | |
732 | else | |
733 | emov (d2, v); | |
734 | break; | |
735 | default: | |
736 | emov (ezero, v); | |
737 | break; | |
738 | } | |
739 | PUT_REAL (v, value); | |
740 | } | |
741 | ||
742 | ||
defb5dab RK |
743 | /* Truncate REAL_VALUE_TYPE toward zero to signed HOST_WIDE_INT. |
744 | implements REAL_VALUE_RNDZINT (x) (etrunci (x)). */ | |
745 | ||
b6ca239d | 746 | REAL_VALUE_TYPE |
985b6196 RS |
747 | etrunci (x) |
748 | REAL_VALUE_TYPE x; | |
749 | { | |
177b41eb | 750 | UEMUSHORT f[NE], g[NE]; |
985b6196 | 751 | REAL_VALUE_TYPE r; |
b51ab098 | 752 | HOST_WIDE_INT l; |
985b6196 RS |
753 | |
754 | GET_REAL (&x, g); | |
66b6d60b RS |
755 | #ifdef NANS |
756 | if (eisnan (g)) | |
757 | return (x); | |
758 | #endif | |
985b6196 RS |
759 | eifrac (g, &l, f); |
760 | ltoe (&l, g); | |
761 | PUT_REAL (g, &r); | |
762 | return (r); | |
763 | } | |
764 | ||
765 | ||
defb5dab RK |
766 | /* Truncate REAL_VALUE_TYPE toward zero to unsigned HOST_WIDE_INT; |
767 | implements REAL_VALUE_UNSIGNED_RNDZINT (x) (etruncui (x)). */ | |
768 | ||
b6ca239d | 769 | REAL_VALUE_TYPE |
985b6196 RS |
770 | etruncui (x) |
771 | REAL_VALUE_TYPE x; | |
772 | { | |
177b41eb | 773 | UEMUSHORT f[NE], g[NE]; |
985b6196 | 774 | REAL_VALUE_TYPE r; |
b51ab098 | 775 | unsigned HOST_WIDE_INT l; |
985b6196 RS |
776 | |
777 | GET_REAL (&x, g); | |
66b6d60b RS |
778 | #ifdef NANS |
779 | if (eisnan (g)) | |
780 | return (x); | |
781 | #endif | |
985b6196 RS |
782 | euifrac (g, &l, f); |
783 | ultoe (&l, g); | |
784 | PUT_REAL (g, &r); | |
785 | return (r); | |
786 | } | |
787 | ||
788 | ||
6f4d7222 UD |
789 | /* This is the REAL_VALUE_ATOF function. It converts a decimal or hexadecimal |
790 | string to binary, rounding off as indicated by the machine_mode argument. | |
791 | Then it promotes the rounded value to REAL_VALUE_TYPE. */ | |
defb5dab | 792 | |
b6ca239d | 793 | REAL_VALUE_TYPE |
985b6196 | 794 | ereal_atof (s, t) |
dff01034 | 795 | const char *s; |
985b6196 RS |
796 | enum machine_mode t; |
797 | { | |
177b41eb | 798 | UEMUSHORT tem[NE], e[NE]; |
985b6196 RS |
799 | REAL_VALUE_TYPE r; |
800 | ||
801 | switch (t) | |
802 | { | |
9ec36da5 JL |
803 | #ifdef C4X |
804 | case QFmode: | |
bfbc6416 | 805 | case HFmode: |
9ec36da5 JL |
806 | asctoe53 (s, tem); |
807 | e53toe (tem, e); | |
808 | break; | |
809 | #else | |
810 | case HFmode: | |
811 | #endif | |
812 | ||
985b6196 RS |
813 | case SFmode: |
814 | asctoe24 (s, tem); | |
815 | e24toe (tem, e); | |
816 | break; | |
f5963e61 | 817 | |
985b6196 RS |
818 | case DFmode: |
819 | asctoe53 (s, tem); | |
820 | e53toe (tem, e); | |
821 | break; | |
f5963e61 | 822 | |
842fbaaa | 823 | case TFmode: |
23c108af | 824 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
842fbaaa JW |
825 | asctoe113 (s, tem); |
826 | e113toe (tem, e); | |
827 | break; | |
3f622353 RH |
828 | #endif |
829 | /* FALLTHRU */ | |
830 | ||
831 | case XFmode: | |
832 | asctoe64 (s, tem); | |
833 | e64toe (tem, e); | |
834 | break; | |
f5963e61 | 835 | |
985b6196 RS |
836 | default: |
837 | asctoe (s, e); | |
838 | } | |
839 | PUT_REAL (e, &r); | |
840 | return (r); | |
841 | } | |
842 | ||
843 | ||
defb5dab RK |
844 | /* Expansion of REAL_NEGATE. */ |
845 | ||
b6ca239d | 846 | REAL_VALUE_TYPE |
985b6196 RS |
847 | ereal_negate (x) |
848 | REAL_VALUE_TYPE x; | |
849 | { | |
177b41eb | 850 | UEMUSHORT e[NE]; |
985b6196 RS |
851 | REAL_VALUE_TYPE r; |
852 | ||
853 | GET_REAL (&x, e); | |
854 | eneg (e); | |
855 | PUT_REAL (e, &r); | |
856 | return (r); | |
857 | } | |
858 | ||
859 | ||
defb5dab RK |
860 | /* Round real toward zero to HOST_WIDE_INT; |
861 | implements REAL_VALUE_FIX (x). */ | |
862 | ||
b51ab098 | 863 | HOST_WIDE_INT |
842fbaaa | 864 | efixi (x) |
985b6196 RS |
865 | REAL_VALUE_TYPE x; |
866 | { | |
177b41eb | 867 | UEMUSHORT f[NE], g[NE]; |
b51ab098 | 868 | HOST_WIDE_INT l; |
985b6196 RS |
869 | |
870 | GET_REAL (&x, f); | |
66b6d60b RS |
871 | #ifdef NANS |
872 | if (eisnan (f)) | |
873 | { | |
874 | warning ("conversion from NaN to int"); | |
875 | return (-1); | |
876 | } | |
877 | #endif | |
842fbaaa JW |
878 | eifrac (f, &l, g); |
879 | return l; | |
985b6196 RS |
880 | } |
881 | ||
842fbaaa | 882 | /* Round real toward zero to unsigned HOST_WIDE_INT |
defb5dab RK |
883 | implements REAL_VALUE_UNSIGNED_FIX (x). |
884 | Negative input returns zero. */ | |
885 | ||
b51ab098 | 886 | unsigned HOST_WIDE_INT |
842fbaaa | 887 | efixui (x) |
985b6196 RS |
888 | REAL_VALUE_TYPE x; |
889 | { | |
177b41eb | 890 | UEMUSHORT f[NE], g[NE]; |
b51ab098 | 891 | unsigned HOST_WIDE_INT l; |
985b6196 RS |
892 | |
893 | GET_REAL (&x, f); | |
66b6d60b RS |
894 | #ifdef NANS |
895 | if (eisnan (f)) | |
896 | { | |
897 | warning ("conversion from NaN to unsigned int"); | |
898 | return (-1); | |
899 | } | |
900 | #endif | |
842fbaaa JW |
901 | euifrac (f, &l, g); |
902 | return l; | |
985b6196 RS |
903 | } |
904 | ||
905 | ||
defb5dab RK |
906 | /* REAL_VALUE_FROM_INT macro. */ |
907 | ||
b6ca239d | 908 | void |
48e73d63 | 909 | ereal_from_int (d, i, j, mode) |
985b6196 | 910 | REAL_VALUE_TYPE *d; |
b51ab098 | 911 | HOST_WIDE_INT i, j; |
48e73d63 | 912 | enum machine_mode mode; |
985b6196 | 913 | { |
177b41eb | 914 | UEMUSHORT df[NE], dg[NE]; |
b51ab098 | 915 | HOST_WIDE_INT low, high; |
985b6196 RS |
916 | int sign; |
917 | ||
48e73d63 RK |
918 | if (GET_MODE_CLASS (mode) != MODE_FLOAT) |
919 | abort (); | |
985b6196 RS |
920 | sign = 0; |
921 | low = i; | |
922 | if ((high = j) < 0) | |
923 | { | |
924 | sign = 1; | |
925 | /* complement and add 1 */ | |
926 | high = ~high; | |
927 | if (low) | |
928 | low = -low; | |
929 | else | |
930 | high += 1; | |
931 | } | |
b51ab098 | 932 | eldexp (eone, HOST_BITS_PER_WIDE_INT, df); |
60e61165 | 933 | ultoe ((unsigned HOST_WIDE_INT *) &high, dg); |
985b6196 | 934 | emul (dg, df, dg); |
60e61165 | 935 | ultoe ((unsigned HOST_WIDE_INT *) &low, df); |
985b6196 RS |
936 | eadd (df, dg, dg); |
937 | if (sign) | |
938 | eneg (dg); | |
48e73d63 RK |
939 | |
940 | /* A REAL_VALUE_TYPE may not be wide enough to hold the two HOST_WIDE_INTS. | |
941 | Avoid double-rounding errors later by rounding off now from the | |
942 | extra-wide internal format to the requested precision. */ | |
943 | switch (GET_MODE_BITSIZE (mode)) | |
944 | { | |
945 | case 32: | |
946 | etoe24 (dg, df); | |
947 | e24toe (df, dg); | |
948 | break; | |
949 | ||
950 | case 64: | |
951 | etoe53 (dg, df); | |
952 | e53toe (df, dg); | |
953 | break; | |
954 | ||
955 | case 96: | |
956 | etoe64 (dg, df); | |
957 | e64toe (df, dg); | |
958 | break; | |
959 | ||
960 | case 128: | |
23c108af | 961 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
48e73d63 RK |
962 | etoe113 (dg, df); |
963 | e113toe (df, dg); | |
280db205 JW |
964 | #else |
965 | etoe64 (dg, df); | |
966 | e64toe (df, dg); | |
967 | #endif | |
48e73d63 RK |
968 | break; |
969 | ||
970 | default: | |
971 | abort (); | |
972 | } | |
973 | ||
985b6196 RS |
974 | PUT_REAL (dg, d); |
975 | } | |
976 | ||
977 | ||
6d2f8887 | 978 | /* REAL_VALUE_FROM_UNSIGNED_INT macro. */ |
a0353055 | 979 | |
b6ca239d | 980 | void |
48e73d63 | 981 | ereal_from_uint (d, i, j, mode) |
985b6196 | 982 | REAL_VALUE_TYPE *d; |
b51ab098 | 983 | unsigned HOST_WIDE_INT i, j; |
48e73d63 | 984 | enum machine_mode mode; |
985b6196 | 985 | { |
177b41eb | 986 | UEMUSHORT df[NE], dg[NE]; |
b51ab098 | 987 | unsigned HOST_WIDE_INT low, high; |
985b6196 | 988 | |
48e73d63 RK |
989 | if (GET_MODE_CLASS (mode) != MODE_FLOAT) |
990 | abort (); | |
985b6196 RS |
991 | low = i; |
992 | high = j; | |
b51ab098 | 993 | eldexp (eone, HOST_BITS_PER_WIDE_INT, df); |
985b6196 RS |
994 | ultoe (&high, dg); |
995 | emul (dg, df, dg); | |
996 | ultoe (&low, df); | |
997 | eadd (df, dg, dg); | |
48e73d63 RK |
998 | |
999 | /* A REAL_VALUE_TYPE may not be wide enough to hold the two HOST_WIDE_INTS. | |
1000 | Avoid double-rounding errors later by rounding off now from the | |
1001 | extra-wide internal format to the requested precision. */ | |
1002 | switch (GET_MODE_BITSIZE (mode)) | |
1003 | { | |
1004 | case 32: | |
1005 | etoe24 (dg, df); | |
1006 | e24toe (df, dg); | |
1007 | break; | |
1008 | ||
1009 | case 64: | |
1010 | etoe53 (dg, df); | |
1011 | e53toe (df, dg); | |
1012 | break; | |
1013 | ||
1014 | case 96: | |
1015 | etoe64 (dg, df); | |
1016 | e64toe (df, dg); | |
1017 | break; | |
1018 | ||
1019 | case 128: | |
23c108af | 1020 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
48e73d63 RK |
1021 | etoe113 (dg, df); |
1022 | e113toe (df, dg); | |
280db205 JW |
1023 | #else |
1024 | etoe64 (dg, df); | |
1025 | e64toe (df, dg); | |
1026 | #endif | |
48e73d63 RK |
1027 | break; |
1028 | ||
1029 | default: | |
1030 | abort (); | |
1031 | } | |
1032 | ||
985b6196 RS |
1033 | PUT_REAL (dg, d); |
1034 | } | |
1035 | ||
1036 | ||
defb5dab RK |
1037 | /* REAL_VALUE_TO_INT macro. */ |
1038 | ||
b6ca239d | 1039 | void |
985b6196 | 1040 | ereal_to_int (low, high, rr) |
b51ab098 | 1041 | HOST_WIDE_INT *low, *high; |
985b6196 RS |
1042 | REAL_VALUE_TYPE rr; |
1043 | { | |
177b41eb | 1044 | UEMUSHORT d[NE], df[NE], dg[NE], dh[NE]; |
985b6196 RS |
1045 | int s; |
1046 | ||
1047 | GET_REAL (&rr, d); | |
66b6d60b | 1048 | #ifdef NANS |
970491df | 1049 | if (eisnan (d)) |
66b6d60b RS |
1050 | { |
1051 | warning ("conversion from NaN to int"); | |
1052 | *low = -1; | |
1053 | *high = -1; | |
1054 | return; | |
1055 | } | |
1056 | #endif | |
985b6196 RS |
1057 | /* convert positive value */ |
1058 | s = 0; | |
1059 | if (eisneg (d)) | |
1060 | { | |
1061 | eneg (d); | |
1062 | s = 1; | |
1063 | } | |
b51ab098 | 1064 | eldexp (eone, HOST_BITS_PER_WIDE_INT, df); |
985b6196 | 1065 | ediv (df, d, dg); /* dg = d / 2^32 is the high word */ |
60e61165 | 1066 | euifrac (dg, (unsigned HOST_WIDE_INT *) high, dh); |
985b6196 | 1067 | emul (df, dh, dg); /* fractional part is the low word */ |
8e2e89f7 | 1068 | euifrac (dg, (unsigned HOST_WIDE_INT *) low, dh); |
985b6196 RS |
1069 | if (s) |
1070 | { | |
1071 | /* complement and add 1 */ | |
1072 | *high = ~(*high); | |
1073 | if (*low) | |
1074 | *low = -(*low); | |
1075 | else | |
1076 | *high += 1; | |
1077 | } | |
1078 | } | |
1079 | ||
1080 | ||
defb5dab RK |
1081 | /* REAL_VALUE_LDEXP macro. */ |
1082 | ||
985b6196 RS |
1083 | REAL_VALUE_TYPE |
1084 | ereal_ldexp (x, n) | |
1085 | REAL_VALUE_TYPE x; | |
1086 | int n; | |
1087 | { | |
177b41eb | 1088 | UEMUSHORT e[NE], y[NE]; |
985b6196 RS |
1089 | REAL_VALUE_TYPE r; |
1090 | ||
1091 | GET_REAL (&x, e); | |
66b6d60b RS |
1092 | #ifdef NANS |
1093 | if (eisnan (e)) | |
1094 | return (x); | |
1095 | #endif | |
985b6196 RS |
1096 | eldexp (e, n, y); |
1097 | PUT_REAL (y, &r); | |
1098 | return (r); | |
1099 | } | |
1100 | ||
0f41302f | 1101 | /* Check for infinity in a REAL_VALUE_TYPE. */ |
defb5dab | 1102 | |
985b6196 RS |
1103 | int |
1104 | target_isinf (x) | |
b42b4d2c | 1105 | REAL_VALUE_TYPE x ATTRIBUTE_UNUSED; |
985b6196 | 1106 | { |
b42b4d2c | 1107 | #ifdef INFINITY |
177b41eb | 1108 | UEMUSHORT e[NE]; |
985b6196 | 1109 | |
985b6196 RS |
1110 | GET_REAL (&x, e); |
1111 | return (eisinf (e)); | |
1112 | #else | |
1113 | return 0; | |
1114 | #endif | |
1115 | } | |
1116 | ||
0f41302f | 1117 | /* Check whether a REAL_VALUE_TYPE item is a NaN. */ |
985b6196 RS |
1118 | |
1119 | int | |
1120 | target_isnan (x) | |
b42b4d2c | 1121 | REAL_VALUE_TYPE x ATTRIBUTE_UNUSED; |
985b6196 | 1122 | { |
b42b4d2c | 1123 | #ifdef NANS |
177b41eb | 1124 | UEMUSHORT e[NE]; |
9d72da33 | 1125 | |
9d72da33 RS |
1126 | GET_REAL (&x, e); |
1127 | return (eisnan (e)); | |
66b6d60b | 1128 | #else |
985b6196 | 1129 | return (0); |
66b6d60b | 1130 | #endif |
985b6196 RS |
1131 | } |
1132 | ||
1133 | ||
66b6d60b | 1134 | /* Check for a negative REAL_VALUE_TYPE number. |
0f41302f | 1135 | This just checks the sign bit, so that -0 counts as negative. */ |
985b6196 RS |
1136 | |
1137 | int | |
1138 | target_negative (x) | |
1139 | REAL_VALUE_TYPE x; | |
1140 | { | |
281bb5e4 | 1141 | return ereal_isneg (x); |
985b6196 RS |
1142 | } |
1143 | ||
1144 | /* Expansion of REAL_VALUE_TRUNCATE. | |
defb5dab RK |
1145 | The result is in floating point, rounded to nearest or even. */ |
1146 | ||
985b6196 RS |
1147 | REAL_VALUE_TYPE |
1148 | real_value_truncate (mode, arg) | |
1149 | enum machine_mode mode; | |
1150 | REAL_VALUE_TYPE arg; | |
1151 | { | |
177b41eb | 1152 | UEMUSHORT e[NE], t[NE]; |
985b6196 RS |
1153 | REAL_VALUE_TYPE r; |
1154 | ||
1155 | GET_REAL (&arg, e); | |
66b6d60b RS |
1156 | #ifdef NANS |
1157 | if (eisnan (e)) | |
1158 | return (arg); | |
1159 | #endif | |
985b6196 RS |
1160 | eclear (t); |
1161 | switch (mode) | |
1162 | { | |
842fbaaa | 1163 | case TFmode: |
23c108af | 1164 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
842fbaaa JW |
1165 | etoe113 (e, t); |
1166 | e113toe (t, t); | |
1167 | break; | |
3f622353 RH |
1168 | #endif |
1169 | /* FALLTHRU */ | |
842fbaaa | 1170 | |
985b6196 RS |
1171 | case XFmode: |
1172 | etoe64 (e, t); | |
1173 | e64toe (t, t); | |
1174 | break; | |
1175 | ||
1176 | case DFmode: | |
1177 | etoe53 (e, t); | |
1178 | e53toe (t, t); | |
1179 | break; | |
1180 | ||
1181 | case SFmode: | |
9ec36da5 | 1182 | #ifndef C4X |
f5963e61 | 1183 | case HFmode: |
9ec36da5 | 1184 | #endif |
985b6196 RS |
1185 | etoe24 (e, t); |
1186 | e24toe (t, t); | |
1187 | break; | |
1188 | ||
9ec36da5 JL |
1189 | #ifdef C4X |
1190 | case HFmode: | |
1191 | case QFmode: | |
1192 | etoe53 (e, t); | |
1193 | e53toe (t, t); | |
1194 | break; | |
1195 | #endif | |
1196 | ||
985b6196 | 1197 | case SImode: |
f8ece317 | 1198 | r = etrunci (arg); |
985b6196 RS |
1199 | return (r); |
1200 | ||
0de689b7 RK |
1201 | /* If an unsupported type was requested, presume that |
1202 | the machine files know something useful to do with | |
1203 | the unmodified value. */ | |
defb5dab | 1204 | |
985b6196 | 1205 | default: |
0de689b7 | 1206 | return (arg); |
985b6196 RS |
1207 | } |
1208 | PUT_REAL (t, &r); | |
1209 | return (r); | |
1210 | } | |
1211 | ||
51286de6 RH |
1212 | /* Return true if ARG can be represented exactly in MODE. */ |
1213 | ||
1214 | bool | |
1215 | exact_real_truncate (mode, arg) | |
1216 | enum machine_mode mode; | |
1217 | REAL_VALUE_TYPE *arg; | |
1218 | { | |
1219 | REAL_VALUE_TYPE trunc; | |
1220 | ||
1221 | if (target_isnan (*arg)) | |
1222 | return false; | |
1223 | ||
1224 | trunc = real_value_truncate (mode, *arg); | |
1225 | return ereal_cmp (*arg, trunc) == 0; | |
1226 | } | |
1227 | ||
cccc8091 RK |
1228 | /* Try to change R into its exact multiplicative inverse in machine mode |
1229 | MODE. Return nonzero function value if successful. */ | |
1230 | ||
1231 | int | |
1232 | exact_real_inverse (mode, r) | |
1233 | enum machine_mode mode; | |
1234 | REAL_VALUE_TYPE *r; | |
1235 | { | |
177b41eb | 1236 | UEMUSHORT e[NE], einv[NE]; |
cccc8091 RK |
1237 | REAL_VALUE_TYPE rinv; |
1238 | int i; | |
1239 | ||
1240 | GET_REAL (r, e); | |
1241 | ||
1242 | /* Test for input in range. Don't transform IEEE special values. */ | |
1243 | if (eisinf (e) || eisnan (e) || (ecmp (e, ezero) == 0)) | |
1244 | return 0; | |
1245 | ||
1246 | /* Test for a power of 2: all significand bits zero except the MSB. | |
1247 | We are assuming the target has binary (or hex) arithmetic. */ | |
1248 | if (e[NE - 2] != 0x8000) | |
1249 | return 0; | |
1250 | ||
1251 | for (i = 0; i < NE - 2; i++) | |
1252 | { | |
1253 | if (e[i] != 0) | |
1254 | return 0; | |
1255 | } | |
1256 | ||
1257 | /* Compute the inverse and truncate it to the required mode. */ | |
1258 | ediv (e, eone, einv); | |
1259 | PUT_REAL (einv, &rinv); | |
1260 | rinv = real_value_truncate (mode, rinv); | |
1261 | ||
1262 | #ifdef CHECK_FLOAT_VALUE | |
1263 | /* This check is not redundant. It may, for example, flush | |
1264 | a supposedly IEEE denormal value to zero. */ | |
1265 | i = 0; | |
1266 | if (CHECK_FLOAT_VALUE (mode, rinv, i)) | |
1267 | return 0; | |
1268 | #endif | |
1269 | GET_REAL (&rinv, einv); | |
1270 | ||
1271 | /* Check the bits again, because the truncation might have | |
1272 | generated an arbitrary saturation value on overflow. */ | |
1273 | if (einv[NE - 2] != 0x8000) | |
1274 | return 0; | |
1275 | ||
1276 | for (i = 0; i < NE - 2; i++) | |
1277 | { | |
1278 | if (einv[i] != 0) | |
1279 | return 0; | |
1280 | } | |
1281 | ||
1282 | /* Fail if the computed inverse is out of range. */ | |
1283 | if (eisinf (einv) || eisnan (einv) || (ecmp (einv, ezero) == 0)) | |
1284 | return 0; | |
1285 | ||
1286 | /* Output the reciprocal and return success flag. */ | |
1287 | PUT_REAL (einv, r); | |
1288 | return 1; | |
1289 | } | |
985b6196 | 1290 | |
775ba35d RS |
1291 | /* Used for debugging--print the value of R in human-readable format |
1292 | on stderr. */ | |
1293 | ||
1294 | void | |
1295 | debug_real (r) | |
1296 | REAL_VALUE_TYPE r; | |
1297 | { | |
1298 | char dstr[30]; | |
1299 | ||
4b67a274 | 1300 | REAL_VALUE_TO_DECIMAL (r, dstr, -1); |
775ba35d | 1301 | fprintf (stderr, "%s", dstr); |
b6ca239d | 1302 | } |
775ba35d RS |
1303 | |
1304 | \f | |
8c35bbc5 RK |
1305 | /* The following routines convert REAL_VALUE_TYPE to the various floating |
1306 | point formats that are meaningful to supported computers. | |
1307 | ||
b6ca239d | 1308 | The results are returned in 32-bit pieces, each piece stored in a `long'. |
8c35bbc5 | 1309 | This is so they can be printed by statements like |
b6ca239d | 1310 | |
8c35bbc5 RK |
1311 | fprintf (file, "%lx, %lx", L[0], L[1]); |
1312 | ||
1313 | that will work on both narrow- and wide-word host computers. */ | |
842fbaaa | 1314 | |
8c35bbc5 RK |
1315 | /* Convert R to a 128-bit long double precision value. The output array L |
1316 | contains four 32-bit pieces of the result, in the order they would appear | |
1317 | in memory. */ | |
defb5dab | 1318 | |
b6ca239d | 1319 | void |
842fbaaa JW |
1320 | etartdouble (r, l) |
1321 | REAL_VALUE_TYPE r; | |
1322 | long l[]; | |
1323 | { | |
177b41eb | 1324 | UEMUSHORT e[NE]; |
842fbaaa JW |
1325 | |
1326 | GET_REAL (&r, e); | |
e6724881 | 1327 | #if INTEL_EXTENDED_IEEE_FORMAT == 0 |
842fbaaa | 1328 | etoe113 (e, e); |
e6724881 RH |
1329 | #else |
1330 | etoe64 (e, e); | |
1331 | #endif | |
842fbaaa JW |
1332 | endian (e, l, TFmode); |
1333 | } | |
1334 | ||
8c35bbc5 RK |
1335 | /* Convert R to a double extended precision value. The output array L |
1336 | contains three 32-bit pieces of the result, in the order they would | |
1337 | appear in memory. */ | |
defb5dab | 1338 | |
b6ca239d | 1339 | void |
985b6196 RS |
1340 | etarldouble (r, l) |
1341 | REAL_VALUE_TYPE r; | |
1342 | long l[]; | |
1343 | { | |
177b41eb | 1344 | UEMUSHORT e[NE]; |
985b6196 RS |
1345 | |
1346 | GET_REAL (&r, e); | |
1347 | etoe64 (e, e); | |
1348 | endian (e, l, XFmode); | |
1349 | } | |
1350 | ||
8c35bbc5 RK |
1351 | /* Convert R to a double precision value. The output array L contains two |
1352 | 32-bit pieces of the result, in the order they would appear in memory. */ | |
1353 | ||
b6ca239d | 1354 | void |
985b6196 RS |
1355 | etardouble (r, l) |
1356 | REAL_VALUE_TYPE r; | |
1357 | long l[]; | |
1358 | { | |
177b41eb | 1359 | UEMUSHORT e[NE]; |
985b6196 RS |
1360 | |
1361 | GET_REAL (&r, e); | |
1362 | etoe53 (e, e); | |
1363 | endian (e, l, DFmode); | |
1364 | } | |
1365 | ||
8c35bbc5 RK |
1366 | /* Convert R to a single precision float value stored in the least-significant |
1367 | bits of a `long'. */ | |
1368 | ||
985b6196 RS |
1369 | long |
1370 | etarsingle (r) | |
1371 | REAL_VALUE_TYPE r; | |
1372 | { | |
177b41eb | 1373 | UEMUSHORT e[NE]; |
60e61165 | 1374 | long l; |
985b6196 RS |
1375 | |
1376 | GET_REAL (&r, e); | |
1377 | etoe24 (e, e); | |
1378 | endian (e, &l, SFmode); | |
1379 | return ((long) l); | |
1380 | } | |
1381 | ||
8c35bbc5 RK |
1382 | /* Convert X to a decimal ASCII string S for output to an assembly |
1383 | language file. Note, there is no standard way to spell infinity or | |
1384 | a NaN, so these values may require special treatment in the tm.h | |
4b67a274 RH |
1385 | macros. |
1386 | ||
1387 | The argument DIGITS is the number of decimal digits to print, | |
1388 | or -1 to indicate "enough", i.e. DECIMAL_DIG for for the target. */ | |
8c35bbc5 | 1389 | |
985b6196 | 1390 | void |
4b67a274 | 1391 | ereal_to_decimal (x, s, digits) |
985b6196 RS |
1392 | REAL_VALUE_TYPE x; |
1393 | char *s; | |
4b67a274 | 1394 | int digits; |
985b6196 | 1395 | { |
177b41eb | 1396 | UEMUSHORT e[NE]; |
985b6196 | 1397 | GET_REAL (&x, e); |
4b67a274 RH |
1398 | |
1399 | /* Find DECIMAL_DIG for the target. */ | |
1400 | if (digits < 0) | |
1401 | switch (TARGET_FLOAT_FORMAT) | |
1402 | { | |
1403 | case IEEE_FLOAT_FORMAT: | |
1404 | switch (LONG_DOUBLE_TYPE_SIZE) | |
1405 | { | |
1406 | case 32: | |
1407 | digits = 9; | |
1408 | break; | |
1409 | case 64: | |
1410 | digits = 17; | |
1411 | break; | |
1412 | case 128: | |
1413 | if (!INTEL_EXTENDED_IEEE_FORMAT) | |
1414 | { | |
1415 | digits = 36; | |
1416 | break; | |
1417 | } | |
1418 | /* FALLTHRU */ | |
1419 | case 96: | |
1420 | digits = 21; | |
1421 | break; | |
1422 | ||
1423 | default: | |
1424 | abort (); | |
1425 | } | |
1426 | break; | |
1427 | ||
1428 | case VAX_FLOAT_FORMAT: | |
1429 | digits = 18; /* D_FLOAT */ | |
1430 | break; | |
1431 | ||
1432 | case IBM_FLOAT_FORMAT: | |
1433 | digits = 18; | |
1434 | break; | |
1435 | ||
1436 | case C4X_FLOAT_FORMAT: | |
1437 | digits = 11; | |
1438 | break; | |
1439 | ||
1440 | default: | |
1441 | abort (); | |
1442 | } | |
1443 | ||
1444 | /* etoasc interprets digits as places after the decimal point. | |
1445 | We interpret digits as total decimal digits, which IMO is | |
1446 | more useful. Since the output will have one digit before | |
1447 | the point, subtract one. */ | |
1448 | etoasc (e, s, digits - 1); | |
985b6196 RS |
1449 | } |
1450 | ||
8c35bbc5 | 1451 | /* Compare X and Y. Return 1 if X > Y, 0 if X == Y, -1 if X < Y, |
6d2f8887 | 1452 | or -2 if either is a NaN. */ |
8c35bbc5 | 1453 | |
985b6196 RS |
1454 | int |
1455 | ereal_cmp (x, y) | |
1456 | REAL_VALUE_TYPE x, y; | |
1457 | { | |
177b41eb | 1458 | UEMUSHORT ex[NE], ey[NE]; |
985b6196 RS |
1459 | |
1460 | GET_REAL (&x, ex); | |
1461 | GET_REAL (&y, ey); | |
1462 | return (ecmp (ex, ey)); | |
1463 | } | |
1464 | ||
8c35bbc5 RK |
1465 | /* Return 1 if the sign bit of X is set, else return 0. */ |
1466 | ||
985b6196 RS |
1467 | int |
1468 | ereal_isneg (x) | |
1469 | REAL_VALUE_TYPE x; | |
1470 | { | |
177b41eb | 1471 | UEMUSHORT ex[NE]; |
985b6196 RS |
1472 | |
1473 | GET_REAL (&x, ex); | |
1474 | return (eisneg (ex)); | |
1475 | } | |
1476 | ||
775ba35d | 1477 | \f |
defb5dab RK |
1478 | /* |
1479 | Extended precision IEEE binary floating point arithmetic routines | |
1480 | ||
1481 | Numbers are stored in C language as arrays of 16-bit unsigned | |
1482 | short integers. The arguments of the routines are pointers to | |
1483 | the arrays. | |
1484 | ||
8c35bbc5 | 1485 | External e type data structure, similar to Intel 8087 chip |
defb5dab RK |
1486 | temporary real format but possibly with a larger significand: |
1487 | ||
1488 | NE-1 significand words (least significant word first, | |
1489 | most significant bit is normally set) | |
1490 | exponent (value = EXONE for 1.0, | |
1491 | top bit is the sign) | |
1492 | ||
1493 | ||
8c35bbc5 | 1494 | Internal exploded e-type data structure of a number (a "word" is 16 bits): |
defb5dab RK |
1495 | |
1496 | ei[0] sign word (0 for positive, 0xffff for negative) | |
1497 | ei[1] biased exponent (value = EXONE for the number 1.0) | |
1498 | ei[2] high guard word (always zero after normalization) | |
1499 | ei[3] | |
1500 | to ei[NI-2] significand (NI-4 significand words, | |
1501 | most significant word first, | |
1502 | most significant bit is set) | |
1503 | ei[NI-1] low guard word (0x8000 bit is rounding place) | |
b6ca239d UD |
1504 | |
1505 | ||
1506 | ||
8c35bbc5 | 1507 | Routines for external format e-type numbers |
b6ca239d | 1508 | |
defb5dab RK |
1509 | asctoe (string, e) ASCII string to extended double e type |
1510 | asctoe64 (string, &d) ASCII string to long double | |
1511 | asctoe53 (string, &d) ASCII string to double | |
1512 | asctoe24 (string, &f) ASCII string to single | |
1513 | asctoeg (string, e, prec) ASCII string to specified precision | |
1514 | e24toe (&f, e) IEEE single precision to e type | |
1515 | e53toe (&d, e) IEEE double precision to e type | |
1516 | e64toe (&d, e) IEEE long double precision to e type | |
1517 | e113toe (&d, e) 128-bit long double precision to e type | |
7a87758d | 1518 | #if 0 |
defb5dab | 1519 | eabs (e) absolute value |
7a87758d | 1520 | #endif |
defb5dab RK |
1521 | eadd (a, b, c) c = b + a |
1522 | eclear (e) e = 0 | |
1523 | ecmp (a, b) Returns 1 if a > b, 0 if a == b, | |
1524 | -1 if a < b, -2 if either a or b is a NaN. | |
1525 | ediv (a, b, c) c = b / a | |
1526 | efloor (a, b) truncate to integer, toward -infinity | |
1527 | efrexp (a, exp, s) extract exponent and significand | |
1528 | eifrac (e, &l, frac) e to HOST_WIDE_INT and e type fraction | |
1529 | euifrac (e, &l, frac) e to unsigned HOST_WIDE_INT and e type fraction | |
1530 | einfin (e) set e to infinity, leaving its sign alone | |
1531 | eldexp (a, n, b) multiply by 2**n | |
1532 | emov (a, b) b = a | |
1533 | emul (a, b, c) c = b * a | |
1534 | eneg (e) e = -e | |
7a87758d | 1535 | #if 0 |
defb5dab | 1536 | eround (a, b) b = nearest integer value to a |
7a87758d | 1537 | #endif |
defb5dab | 1538 | esub (a, b, c) c = b - a |
7a87758d | 1539 | #if 0 |
defb5dab RK |
1540 | e24toasc (&f, str, n) single to ASCII string, n digits after decimal |
1541 | e53toasc (&d, str, n) double to ASCII string, n digits after decimal | |
1542 | e64toasc (&d, str, n) 80-bit long double to ASCII string | |
1543 | e113toasc (&d, str, n) 128-bit long double to ASCII string | |
7a87758d | 1544 | #endif |
defb5dab RK |
1545 | etoasc (e, str, n) e to ASCII string, n digits after decimal |
1546 | etoe24 (e, &f) convert e type to IEEE single precision | |
1547 | etoe53 (e, &d) convert e type to IEEE double precision | |
1548 | etoe64 (e, &d) convert e type to IEEE long double precision | |
1549 | ltoe (&l, e) HOST_WIDE_INT to e type | |
1550 | ultoe (&l, e) unsigned HOST_WIDE_INT to e type | |
1551 | eisneg (e) 1 if sign bit of e != 0, else 0 | |
1552 | eisinf (e) 1 if e has maximum exponent (non-IEEE) | |
1553 | or is infinite (IEEE) | |
1554 | eisnan (e) 1 if e is a NaN | |
b6ca239d | 1555 | |
defb5dab | 1556 | |
8c35bbc5 | 1557 | Routines for internal format exploded e-type numbers |
b6ca239d | 1558 | |
defb5dab RK |
1559 | eaddm (ai, bi) add significands, bi = bi + ai |
1560 | ecleaz (ei) ei = 0 | |
1561 | ecleazs (ei) set ei = 0 but leave its sign alone | |
1562 | ecmpm (ai, bi) compare significands, return 1, 0, or -1 | |
1563 | edivm (ai, bi) divide significands, bi = bi / ai | |
1564 | emdnorm (ai,l,s,exp) normalize and round off | |
1565 | emovi (a, ai) convert external a to internal ai | |
1566 | emovo (ai, a) convert internal ai to external a | |
1567 | emovz (ai, bi) bi = ai, low guard word of bi = 0 | |
1568 | emulm (ai, bi) multiply significands, bi = bi * ai | |
1569 | enormlz (ei) left-justify the significand | |
1570 | eshdn1 (ai) shift significand and guards down 1 bit | |
1571 | eshdn8 (ai) shift down 8 bits | |
1572 | eshdn6 (ai) shift down 16 bits | |
1573 | eshift (ai, n) shift ai n bits up (or down if n < 0) | |
1574 | eshup1 (ai) shift significand and guards up 1 bit | |
1575 | eshup8 (ai) shift up 8 bits | |
1576 | eshup6 (ai) shift up 16 bits | |
1577 | esubm (ai, bi) subtract significands, bi = bi - ai | |
1578 | eiisinf (ai) 1 if infinite | |
1579 | eiisnan (ai) 1 if a NaN | |
1580 | eiisneg (ai) 1 if sign bit of ai != 0, else 0 | |
1581 | einan (ai) set ai = NaN | |
7a87758d | 1582 | #if 0 |
defb5dab | 1583 | eiinfin (ai) set ai = infinity |
7a87758d | 1584 | #endif |
defb5dab RK |
1585 | |
1586 | The result is always normalized and rounded to NI-4 word precision | |
1587 | after each arithmetic operation. | |
1588 | ||
1589 | Exception flags are NOT fully supported. | |
b6ca239d | 1590 | |
defb5dab RK |
1591 | Signaling NaN's are NOT supported; they are treated the same |
1592 | as quiet NaN's. | |
b6ca239d | 1593 | |
defb5dab RK |
1594 | Define INFINITY for support of infinity; otherwise a |
1595 | saturation arithmetic is implemented. | |
b6ca239d | 1596 | |
defb5dab RK |
1597 | Define NANS for support of Not-a-Number items; otherwise the |
1598 | arithmetic will never produce a NaN output, and might be confused | |
1599 | by a NaN input. | |
1600 | If NaN's are supported, the output of `ecmp (a,b)' is -2 if | |
1601 | either a or b is a NaN. This means asking `if (ecmp (a,b) < 0)' | |
1602 | may not be legitimate. Use `if (ecmp (a,b) == -1)' for `less than' | |
1603 | if in doubt. | |
b6ca239d | 1604 | |
defb5dab RK |
1605 | Denormals are always supported here where appropriate (e.g., not |
1606 | for conversion to DEC numbers). */ | |
1607 | ||
1608 | /* Definitions for error codes that are passed to the common error handling | |
1609 | routine mtherr. | |
1610 | ||
1611 | For Digital Equipment PDP-11 and VAX computers, certain | |
1612 | IBM systems, and others that use numbers with a 56-bit | |
1613 | significand, the symbol DEC should be defined. In this | |
1614 | mode, most floating point constants are given as arrays | |
1615 | of octal integers to eliminate decimal to binary conversion | |
1616 | errors that might be introduced by the compiler. | |
b6ca239d | 1617 | |
defb5dab RK |
1618 | For computers, such as IBM PC, that follow the IEEE |
1619 | Standard for Binary Floating Point Arithmetic (ANSI/IEEE | |
8c35bbc5 | 1620 | Std 754-1985), the symbol IEEE should be defined. |
defb5dab RK |
1621 | These numbers have 53-bit significands. In this mode, constants |
1622 | are provided as arrays of hexadecimal 16 bit integers. | |
8c35bbc5 RK |
1623 | The endian-ness of generated values is controlled by |
1624 | REAL_WORDS_BIG_ENDIAN. | |
b6ca239d | 1625 | |
defb5dab RK |
1626 | To accommodate other types of computer arithmetic, all |
1627 | constants are also provided in a normal decimal radix | |
1628 | which one can hope are correctly converted to a suitable | |
1629 | format by the available C language compiler. To invoke | |
1630 | this mode, the symbol UNK is defined. | |
b6ca239d | 1631 | |
defb5dab RK |
1632 | An important difference among these modes is a predefined |
1633 | set of machine arithmetic constants for each. The numbers | |
1634 | MACHEP (the machine roundoff error), MAXNUM (largest number | |
1635 | represented), and several other parameters are preset by | |
1636 | the configuration symbol. Check the file const.c to | |
1637 | ensure that these values are correct for your computer. | |
b6ca239d | 1638 | |
defb5dab | 1639 | For ANSI C compatibility, define ANSIC equal to 1. Currently |
0f41302f | 1640 | this affects only the atan2 function and others that use it. */ |
985b6196 | 1641 | |
e8650b8f | 1642 | /* Constant definitions for math error conditions. */ |
985b6196 RS |
1643 | |
1644 | #define DOMAIN 1 /* argument domain error */ | |
1645 | #define SING 2 /* argument singularity */ | |
1646 | #define OVERFLOW 3 /* overflow range error */ | |
1647 | #define UNDERFLOW 4 /* underflow range error */ | |
1648 | #define TLOSS 5 /* total loss of precision */ | |
1649 | #define PLOSS 6 /* partial loss of precision */ | |
66b6d60b | 1650 | #define INVALID 7 /* NaN-producing operation */ |
985b6196 | 1651 | |
985b6196 RS |
1652 | /* e type constants used by high precision check routines */ |
1653 | ||
23c108af | 1654 | #if MAX_LONG_DOUBLE_TYPE_SIZE == 128 && (INTEL_EXTENDED_IEEE_FORMAT == 0) |
985b6196 | 1655 | /* 0.0 */ |
0c5d8c82 | 1656 | const UEMUSHORT ezero[NE] = |
842fbaaa JW |
1657 | {0x0000, 0x0000, 0x0000, 0x0000, |
1658 | 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,}; | |
985b6196 RS |
1659 | |
1660 | /* 5.0E-1 */ | |
0c5d8c82 | 1661 | const UEMUSHORT ehalf[NE] = |
842fbaaa JW |
1662 | {0x0000, 0x0000, 0x0000, 0x0000, |
1663 | 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3ffe,}; | |
985b6196 RS |
1664 | |
1665 | /* 1.0E0 */ | |
0c5d8c82 | 1666 | const UEMUSHORT eone[NE] = |
842fbaaa JW |
1667 | {0x0000, 0x0000, 0x0000, 0x0000, |
1668 | 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3fff,}; | |
985b6196 RS |
1669 | |
1670 | /* 2.0E0 */ | |
0c5d8c82 | 1671 | const UEMUSHORT etwo[NE] = |
842fbaaa JW |
1672 | {0x0000, 0x0000, 0x0000, 0x0000, |
1673 | 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x4000,}; | |
985b6196 RS |
1674 | |
1675 | /* 3.2E1 */ | |
0c5d8c82 | 1676 | const UEMUSHORT e32[NE] = |
842fbaaa JW |
1677 | {0x0000, 0x0000, 0x0000, 0x0000, |
1678 | 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x4004,}; | |
985b6196 RS |
1679 | |
1680 | /* 6.93147180559945309417232121458176568075500134360255E-1 */ | |
0c5d8c82 | 1681 | const UEMUSHORT elog2[NE] = |
842fbaaa JW |
1682 | {0x40f3, 0xf6af, 0x03f2, 0xb398, |
1683 | 0xc9e3, 0x79ab, 0150717, 0013767, 0130562, 0x3ffe,}; | |
985b6196 RS |
1684 | |
1685 | /* 1.41421356237309504880168872420969807856967187537695E0 */ | |
0c5d8c82 | 1686 | const UEMUSHORT esqrt2[NE] = |
842fbaaa JW |
1687 | {0x1d6f, 0xbe9f, 0x754a, 0x89b3, |
1688 | 0x597d, 0x6484, 0174736, 0171463, 0132404, 0x3fff,}; | |
985b6196 | 1689 | |
985b6196 | 1690 | /* 3.14159265358979323846264338327950288419716939937511E0 */ |
0c5d8c82 | 1691 | const UEMUSHORT epi[NE] = |
842fbaaa | 1692 | {0x2902, 0x1cd1, 0x80dc, 0x628b, |
985b6196 | 1693 | 0xc4c6, 0xc234, 0020550, 0155242, 0144417, 0040000,}; |
985b6196 | 1694 | |
842fbaaa JW |
1695 | #else |
1696 | /* LONG_DOUBLE_TYPE_SIZE is other than 128 */ | |
0c5d8c82 | 1697 | const UEMUSHORT ezero[NE] = |
842fbaaa | 1698 | {0, 0000000, 0000000, 0000000, 0000000, 0000000,}; |
0c5d8c82 | 1699 | const UEMUSHORT ehalf[NE] = |
842fbaaa | 1700 | {0, 0000000, 0000000, 0000000, 0100000, 0x3ffe,}; |
0c5d8c82 | 1701 | const UEMUSHORT eone[NE] = |
842fbaaa | 1702 | {0, 0000000, 0000000, 0000000, 0100000, 0x3fff,}; |
0c5d8c82 | 1703 | const UEMUSHORT etwo[NE] = |
842fbaaa | 1704 | {0, 0000000, 0000000, 0000000, 0100000, 0040000,}; |
0c5d8c82 | 1705 | const UEMUSHORT e32[NE] = |
842fbaaa | 1706 | {0, 0000000, 0000000, 0000000, 0100000, 0040004,}; |
0c5d8c82 | 1707 | const UEMUSHORT elog2[NE] = |
842fbaaa | 1708 | {0xc9e4, 0x79ab, 0150717, 0013767, 0130562, 0x3ffe,}; |
0c5d8c82 | 1709 | const UEMUSHORT esqrt2[NE] = |
842fbaaa | 1710 | {0x597e, 0x6484, 0174736, 0171463, 0132404, 0x3fff,}; |
0c5d8c82 | 1711 | const UEMUSHORT epi[NE] = |
842fbaaa JW |
1712 | {0xc4c6, 0xc234, 0020550, 0155242, 0144417, 0040000,}; |
1713 | #endif | |
985b6196 | 1714 | |
985b6196 | 1715 | /* Control register for rounding precision. |
defb5dab RK |
1716 | This can be set to 113 (if NE=10), 80 (if NE=6), 64, 56, 53, or 24 bits. */ |
1717 | ||
985b6196 RS |
1718 | int rndprc = NBITS; |
1719 | extern int rndprc; | |
1720 | ||
8c35bbc5 | 1721 | /* Clear out entire e-type number X. */ |
985b6196 | 1722 | |
b6ca239d | 1723 | static void |
985b6196 | 1724 | eclear (x) |
b3694847 | 1725 | UEMUSHORT *x; |
985b6196 | 1726 | { |
b3694847 | 1727 | int i; |
985b6196 RS |
1728 | |
1729 | for (i = 0; i < NE; i++) | |
1730 | *x++ = 0; | |
1731 | } | |
1732 | ||
8c35bbc5 | 1733 | /* Move e-type number from A to B. */ |
985b6196 | 1734 | |
b6ca239d | 1735 | static void |
985b6196 | 1736 | emov (a, b) |
0c5d8c82 KG |
1737 | const UEMUSHORT *a; |
1738 | UEMUSHORT *b; | |
985b6196 | 1739 | { |
b3694847 | 1740 | int i; |
985b6196 RS |
1741 | |
1742 | for (i = 0; i < NE; i++) | |
1743 | *b++ = *a++; | |
1744 | } | |
1745 | ||
1746 | ||
7a87758d | 1747 | #if 0 |
8c35bbc5 | 1748 | /* Absolute value of e-type X. */ |
985b6196 | 1749 | |
b6ca239d | 1750 | static void |
985b6196 | 1751 | eabs (x) |
177b41eb | 1752 | UEMUSHORT x[]; |
985b6196 | 1753 | { |
a0353055 | 1754 | /* sign is top bit of last word of external format */ |
b6ca239d | 1755 | x[NE - 1] &= 0x7fff; |
985b6196 | 1756 | } |
7a87758d | 1757 | #endif /* 0 */ |
985b6196 | 1758 | |
8c35bbc5 | 1759 | /* Negate the e-type number X. */ |
985b6196 | 1760 | |
b6ca239d | 1761 | static void |
985b6196 | 1762 | eneg (x) |
177b41eb | 1763 | UEMUSHORT x[]; |
985b6196 RS |
1764 | { |
1765 | ||
1766 | x[NE - 1] ^= 0x8000; /* Toggle the sign bit */ | |
1767 | } | |
1768 | ||
8c35bbc5 | 1769 | /* Return 1 if sign bit of e-type number X is nonzero, else zero. */ |
defb5dab | 1770 | |
b6ca239d | 1771 | static int |
985b6196 | 1772 | eisneg (x) |
0c5d8c82 | 1773 | const UEMUSHORT x[]; |
985b6196 RS |
1774 | { |
1775 | ||
1776 | if (x[NE - 1] & 0x8000) | |
1777 | return (1); | |
1778 | else | |
1779 | return (0); | |
1780 | } | |
1781 | ||
8c35bbc5 | 1782 | /* Return 1 if e-type number X is infinity, else return zero. */ |
a0353055 | 1783 | |
b6ca239d | 1784 | static int |
985b6196 | 1785 | eisinf (x) |
0c5d8c82 | 1786 | const UEMUSHORT x[]; |
985b6196 RS |
1787 | { |
1788 | ||
66b6d60b RS |
1789 | #ifdef NANS |
1790 | if (eisnan (x)) | |
1791 | return (0); | |
1792 | #endif | |
985b6196 RS |
1793 | if ((x[NE - 1] & 0x7fff) == 0x7fff) |
1794 | return (1); | |
1795 | else | |
1796 | return (0); | |
1797 | } | |
1798 | ||
defb5dab RK |
1799 | /* Check if e-type number is not a number. The bit pattern is one that we |
1800 | defined, so we know for sure how to detect it. */ | |
66b6d60b | 1801 | |
b6ca239d | 1802 | static int |
66b6d60b | 1803 | eisnan (x) |
0c5d8c82 | 1804 | const UEMUSHORT x[] ATTRIBUTE_UNUSED; |
66b6d60b | 1805 | { |
66b6d60b RS |
1806 | #ifdef NANS |
1807 | int i; | |
defb5dab RK |
1808 | |
1809 | /* NaN has maximum exponent */ | |
66b6d60b RS |
1810 | if ((x[NE - 1] & 0x7fff) != 0x7fff) |
1811 | return (0); | |
0f41302f | 1812 | /* ... and non-zero significand field. */ |
66b6d60b RS |
1813 | for (i = 0; i < NE - 1; i++) |
1814 | { | |
1815 | if (*x++ != 0) | |
a6a2274a | 1816 | return (1); |
66b6d60b RS |
1817 | } |
1818 | #endif | |
defb5dab | 1819 | |
66b6d60b RS |
1820 | return (0); |
1821 | } | |
1822 | ||
ab5e2615 RH |
1823 | /* Fill e-type number X with infinity pattern (IEEE) |
1824 | or largest possible number (non-IEEE). */ | |
985b6196 | 1825 | |
b6ca239d | 1826 | static void |
985b6196 | 1827 | einfin (x) |
b3694847 | 1828 | UEMUSHORT *x; |
985b6196 | 1829 | { |
b3694847 | 1830 | int i; |
985b6196 RS |
1831 | |
1832 | #ifdef INFINITY | |
1833 | for (i = 0; i < NE - 1; i++) | |
1834 | *x++ = 0; | |
1835 | *x |= 32767; | |
1836 | #else | |
1837 | for (i = 0; i < NE - 1; i++) | |
1838 | *x++ = 0xffff; | |
1839 | *x |= 32766; | |
1840 | if (rndprc < NBITS) | |
1841 | { | |
842fbaaa JW |
1842 | if (rndprc == 113) |
1843 | { | |
1844 | *(x - 9) = 0; | |
1845 | *(x - 8) = 0; | |
1846 | } | |
985b6196 RS |
1847 | if (rndprc == 64) |
1848 | { | |
1849 | *(x - 5) = 0; | |
1850 | } | |
1851 | if (rndprc == 53) | |
1852 | { | |
1853 | *(x - 4) = 0xf800; | |
1854 | } | |
1855 | else | |
1856 | { | |
1857 | *(x - 4) = 0; | |
1858 | *(x - 3) = 0; | |
1859 | *(x - 2) = 0xff00; | |
1860 | } | |
1861 | } | |
1862 | #endif | |
1863 | } | |
1864 | ||
ab5e2615 RH |
1865 | /* Similar, except return it as a REAL_VALUE_TYPE. */ |
1866 | ||
1867 | REAL_VALUE_TYPE | |
1868 | ereal_inf (mode) | |
1869 | enum machine_mode mode; | |
1870 | { | |
1871 | REAL_VALUE_TYPE r; | |
1872 | UEMUSHORT e[NE]; | |
1873 | int prec, rndsav; | |
1874 | ||
1875 | switch (mode) | |
1876 | { | |
1877 | case QFmode: | |
1878 | case SFmode: | |
1879 | prec = 24; | |
1880 | break; | |
1881 | case HFmode: | |
1882 | case DFmode: | |
1883 | prec = 53; | |
1884 | break; | |
1885 | case TFmode: | |
1886 | if (!INTEL_EXTENDED_IEEE_FORMAT) | |
1887 | { | |
1888 | prec = 113; | |
1889 | break; | |
1890 | } | |
1891 | /* FALLTHRU */ | |
1892 | case XFmode: | |
1893 | prec = 64; | |
1894 | break; | |
1895 | default: | |
1896 | abort (); | |
1897 | } | |
1898 | ||
1899 | rndsav = rndprc; | |
1900 | rndprc = prec; | |
36eea25f | 1901 | eclear (e); |
ab5e2615 RH |
1902 | einfin (e); |
1903 | rndprc = rndsav; | |
1904 | ||
1905 | PUT_REAL (e, &r); | |
1906 | return r; | |
1907 | } | |
1908 | ||
66b6d60b RS |
1909 | /* Output an e-type NaN. |
1910 | This generates Intel's quiet NaN pattern for extended real. | |
1911 | The exponent is 7fff, the leading mantissa word is c000. */ | |
1912 | ||
b42b4d2c | 1913 | #ifdef NANS |
b6ca239d | 1914 | static void |
29e11dab | 1915 | enan (x, sign) |
b3694847 | 1916 | UEMUSHORT *x; |
29e11dab | 1917 | int sign; |
66b6d60b | 1918 | { |
b3694847 | 1919 | int i; |
66b6d60b RS |
1920 | |
1921 | for (i = 0; i < NE - 2; i++) | |
1922 | *x++ = 0; | |
1923 | *x++ = 0xc000; | |
29e11dab | 1924 | *x = (sign << 15) | 0x7fff; |
66b6d60b | 1925 | } |
b42b4d2c | 1926 | #endif /* NANS */ |
66b6d60b | 1927 | |
8c35bbc5 | 1928 | /* Move in an e-type number A, converting it to exploded e-type B. */ |
defb5dab | 1929 | |
b6ca239d | 1930 | static void |
985b6196 | 1931 | emovi (a, b) |
0c5d8c82 KG |
1932 | const UEMUSHORT *a; |
1933 | UEMUSHORT *b; | |
985b6196 | 1934 | { |
0c5d8c82 KG |
1935 | const UEMUSHORT *p; |
1936 | UEMUSHORT *q; | |
985b6196 RS |
1937 | int i; |
1938 | ||
1939 | q = b; | |
1940 | p = a + (NE - 1); /* point to last word of external number */ | |
1941 | /* get the sign bit */ | |
1942 | if (*p & 0x8000) | |
1943 | *q++ = 0xffff; | |
1944 | else | |
1945 | *q++ = 0; | |
1946 | /* get the exponent */ | |
1947 | *q = *p--; | |
1948 | *q++ &= 0x7fff; /* delete the sign bit */ | |
1949 | #ifdef INFINITY | |
1950 | if ((*(q - 1) & 0x7fff) == 0x7fff) | |
1951 | { | |
66b6d60b RS |
1952 | #ifdef NANS |
1953 | if (eisnan (a)) | |
1954 | { | |
1955 | *q++ = 0; | |
1956 | for (i = 3; i < NI; i++) | |
1957 | *q++ = *p--; | |
1958 | return; | |
1959 | } | |
1960 | #endif | |
defb5dab | 1961 | |
985b6196 RS |
1962 | for (i = 2; i < NI; i++) |
1963 | *q++ = 0; | |
1964 | return; | |
1965 | } | |
1966 | #endif | |
defb5dab | 1967 | |
985b6196 RS |
1968 | /* clear high guard word */ |
1969 | *q++ = 0; | |
1970 | /* move in the significand */ | |
1971 | for (i = 0; i < NE - 1; i++) | |
1972 | *q++ = *p--; | |
1973 | /* clear low guard word */ | |
1974 | *q = 0; | |
1975 | } | |
1976 | ||
8c35bbc5 | 1977 | /* Move out exploded e-type number A, converting it to e type B. */ |
defb5dab | 1978 | |
b6ca239d | 1979 | static void |
985b6196 | 1980 | emovo (a, b) |
0c5d8c82 KG |
1981 | const UEMUSHORT *a; |
1982 | UEMUSHORT *b; | |
985b6196 | 1983 | { |
0c5d8c82 KG |
1984 | const UEMUSHORT *p; |
1985 | UEMUSHORT *q; | |
177b41eb | 1986 | UEMUSHORT i; |
239b043b | 1987 | int j; |
985b6196 RS |
1988 | |
1989 | p = a; | |
1990 | q = b + (NE - 1); /* point to output exponent */ | |
1991 | /* combine sign and exponent */ | |
1992 | i = *p++; | |
1993 | if (i) | |
1994 | *q-- = *p++ | 0x8000; | |
1995 | else | |
1996 | *q-- = *p++; | |
1997 | #ifdef INFINITY | |
1998 | if (*(p - 1) == 0x7fff) | |
1999 | { | |
66b6d60b RS |
2000 | #ifdef NANS |
2001 | if (eiisnan (a)) | |
2002 | { | |
29e11dab | 2003 | enan (b, eiisneg (a)); |
66b6d60b RS |
2004 | return; |
2005 | } | |
2006 | #endif | |
985b6196 | 2007 | einfin (b); |
842fbaaa | 2008 | return; |
985b6196 RS |
2009 | } |
2010 | #endif | |
2011 | /* skip over guard word */ | |
2012 | ++p; | |
2013 | /* move the significand */ | |
239b043b | 2014 | for (j = 0; j < NE - 1; j++) |
985b6196 RS |
2015 | *q-- = *p++; |
2016 | } | |
2017 | ||
8c35bbc5 | 2018 | /* Clear out exploded e-type number XI. */ |
985b6196 | 2019 | |
b6ca239d | 2020 | static void |
985b6196 | 2021 | ecleaz (xi) |
b3694847 | 2022 | UEMUSHORT *xi; |
985b6196 | 2023 | { |
b3694847 | 2024 | int i; |
985b6196 RS |
2025 | |
2026 | for (i = 0; i < NI; i++) | |
2027 | *xi++ = 0; | |
2028 | } | |
2029 | ||
0f41302f | 2030 | /* Clear out exploded e-type XI, but don't touch the sign. */ |
985b6196 | 2031 | |
b6ca239d | 2032 | static void |
985b6196 | 2033 | ecleazs (xi) |
b3694847 | 2034 | UEMUSHORT *xi; |
985b6196 | 2035 | { |
b3694847 | 2036 | int i; |
985b6196 RS |
2037 | |
2038 | ++xi; | |
2039 | for (i = 0; i < NI - 1; i++) | |
2040 | *xi++ = 0; | |
2041 | } | |
2042 | ||
8c35bbc5 | 2043 | /* Move exploded e-type number from A to B. */ |
a0353055 | 2044 | |
b6ca239d | 2045 | static void |
985b6196 | 2046 | emovz (a, b) |
0c5d8c82 KG |
2047 | const UEMUSHORT *a; |
2048 | UEMUSHORT *b; | |
985b6196 | 2049 | { |
b3694847 | 2050 | int i; |
985b6196 RS |
2051 | |
2052 | for (i = 0; i < NI - 1; i++) | |
2053 | *b++ = *a++; | |
2054 | /* clear low guard word */ | |
2055 | *b = 0; | |
2056 | } | |
2057 | ||
8c35bbc5 | 2058 | /* Generate exploded e-type NaN. |
66b6d60b | 2059 | The explicit pattern for this is maximum exponent and |
defb5dab | 2060 | top two significant bits set. */ |
66b6d60b | 2061 | |
b42b4d2c | 2062 | #ifdef NANS |
a0353055 | 2063 | static void |
66b6d60b | 2064 | einan (x) |
177b41eb | 2065 | UEMUSHORT x[]; |
66b6d60b RS |
2066 | { |
2067 | ||
2068 | ecleaz (x); | |
2069 | x[E] = 0x7fff; | |
2070 | x[M + 1] = 0xc000; | |
2071 | } | |
b42b4d2c | 2072 | #endif /* NANS */ |
66b6d60b | 2073 | |
0f41302f | 2074 | /* Return nonzero if exploded e-type X is a NaN. */ |
66b6d60b | 2075 | |
b42b4d2c | 2076 | #ifdef NANS |
b6ca239d | 2077 | static int |
66b6d60b | 2078 | eiisnan (x) |
0c5d8c82 | 2079 | const UEMUSHORT x[]; |
66b6d60b RS |
2080 | { |
2081 | int i; | |
2082 | ||
2083 | if ((x[E] & 0x7fff) == 0x7fff) | |
2084 | { | |
2085 | for (i = M + 1; i < NI; i++) | |
2086 | { | |
2087 | if (x[i] != 0) | |
2088 | return (1); | |
2089 | } | |
2090 | } | |
2091 | return (0); | |
2092 | } | |
b42b4d2c | 2093 | #endif /* NANS */ |
66b6d60b | 2094 | |
8c35bbc5 | 2095 | /* Return nonzero if sign of exploded e-type X is nonzero. */ |
29e11dab | 2096 | |
b6ca239d | 2097 | static int |
29e11dab | 2098 | eiisneg (x) |
0c5d8c82 | 2099 | const UEMUSHORT x[]; |
29e11dab RK |
2100 | { |
2101 | ||
2102 | return x[0] != 0; | |
2103 | } | |
2104 | ||
7a87758d | 2105 | #if 0 |
8c35bbc5 | 2106 | /* Fill exploded e-type X with infinity pattern. |
66b6d60b RS |
2107 | This has maximum exponent and significand all zeros. */ |
2108 | ||
a0353055 | 2109 | static void |
66b6d60b | 2110 | eiinfin (x) |
177b41eb | 2111 | UEMUSHORT x[]; |
66b6d60b RS |
2112 | { |
2113 | ||
2114 | ecleaz (x); | |
2115 | x[E] = 0x7fff; | |
2116 | } | |
7a87758d | 2117 | #endif /* 0 */ |
66b6d60b | 2118 | |
0f41302f | 2119 | /* Return nonzero if exploded e-type X is infinite. */ |
66b6d60b | 2120 | |
b42b4d2c | 2121 | #ifdef INFINITY |
b6ca239d | 2122 | static int |
66b6d60b | 2123 | eiisinf (x) |
0c5d8c82 | 2124 | const UEMUSHORT x[]; |
66b6d60b RS |
2125 | { |
2126 | ||
2127 | #ifdef NANS | |
2128 | if (eiisnan (x)) | |
2129 | return (0); | |
2130 | #endif | |
2131 | if ((x[E] & 0x7fff) == 0x7fff) | |
2132 | return (1); | |
2133 | return (0); | |
2134 | } | |
b42b4d2c | 2135 | #endif /* INFINITY */ |
985b6196 | 2136 | |
8c35bbc5 | 2137 | /* Compare significands of numbers in internal exploded e-type format. |
defb5dab RK |
2138 | Guard words are included in the comparison. |
2139 | ||
2140 | Returns +1 if a > b | |
2141 | 0 if a == b | |
2142 | -1 if a < b */ | |
a0353055 RK |
2143 | |
2144 | static int | |
985b6196 | 2145 | ecmpm (a, b) |
0c5d8c82 | 2146 | const UEMUSHORT *a, *b; |
985b6196 RS |
2147 | { |
2148 | int i; | |
2149 | ||
2150 | a += M; /* skip up to significand area */ | |
2151 | b += M; | |
2152 | for (i = M; i < NI; i++) | |
2153 | { | |
2154 | if (*a++ != *b++) | |
2155 | goto difrnt; | |
2156 | } | |
2157 | return (0); | |
2158 | ||
2159 | difrnt: | |
2160 | if (*(--a) > *(--b)) | |
2161 | return (1); | |
2162 | else | |
2163 | return (-1); | |
2164 | } | |
2165 | ||
8c35bbc5 | 2166 | /* Shift significand of exploded e-type X down by 1 bit. */ |
985b6196 | 2167 | |
b6ca239d | 2168 | static void |
985b6196 | 2169 | eshdn1 (x) |
b3694847 | 2170 | UEMUSHORT *x; |
985b6196 | 2171 | { |
b3694847 | 2172 | UEMUSHORT bits; |
985b6196 RS |
2173 | int i; |
2174 | ||
2175 | x += M; /* point to significand area */ | |
2176 | ||
2177 | bits = 0; | |
2178 | for (i = M; i < NI; i++) | |
2179 | { | |
2180 | if (*x & 1) | |
2181 | bits |= 1; | |
2182 | *x >>= 1; | |
2183 | if (bits & 2) | |
2184 | *x |= 0x8000; | |
2185 | bits <<= 1; | |
2186 | ++x; | |
2187 | } | |
2188 | } | |
2189 | ||
8c35bbc5 | 2190 | /* Shift significand of exploded e-type X up by 1 bit. */ |
985b6196 | 2191 | |
b6ca239d | 2192 | static void |
985b6196 | 2193 | eshup1 (x) |
b3694847 | 2194 | UEMUSHORT *x; |
985b6196 | 2195 | { |
b3694847 | 2196 | UEMUSHORT bits; |
985b6196 RS |
2197 | int i; |
2198 | ||
2199 | x += NI - 1; | |
2200 | bits = 0; | |
2201 | ||
2202 | for (i = M; i < NI; i++) | |
2203 | { | |
2204 | if (*x & 0x8000) | |
2205 | bits |= 1; | |
2206 | *x <<= 1; | |
2207 | if (bits & 2) | |
2208 | *x |= 1; | |
2209 | bits <<= 1; | |
2210 | --x; | |
2211 | } | |
2212 | } | |
2213 | ||
2214 | ||
8c35bbc5 | 2215 | /* Shift significand of exploded e-type X down by 8 bits. */ |
985b6196 | 2216 | |
b6ca239d | 2217 | static void |
985b6196 | 2218 | eshdn8 (x) |
b3694847 | 2219 | UEMUSHORT *x; |
985b6196 | 2220 | { |
b3694847 | 2221 | UEMUSHORT newbyt, oldbyt; |
985b6196 RS |
2222 | int i; |
2223 | ||
2224 | x += M; | |
2225 | oldbyt = 0; | |
2226 | for (i = M; i < NI; i++) | |
2227 | { | |
2228 | newbyt = *x << 8; | |
2229 | *x >>= 8; | |
2230 | *x |= oldbyt; | |
2231 | oldbyt = newbyt; | |
2232 | ++x; | |
2233 | } | |
2234 | } | |
2235 | ||
8c35bbc5 | 2236 | /* Shift significand of exploded e-type X up by 8 bits. */ |
985b6196 | 2237 | |
b6ca239d | 2238 | static void |
985b6196 | 2239 | eshup8 (x) |
b3694847 | 2240 | UEMUSHORT *x; |
985b6196 RS |
2241 | { |
2242 | int i; | |
b3694847 | 2243 | UEMUSHORT newbyt, oldbyt; |
985b6196 RS |
2244 | |
2245 | x += NI - 1; | |
2246 | oldbyt = 0; | |
2247 | ||
2248 | for (i = M; i < NI; i++) | |
2249 | { | |
2250 | newbyt = *x >> 8; | |
2251 | *x <<= 8; | |
2252 | *x |= oldbyt; | |
2253 | oldbyt = newbyt; | |
2254 | --x; | |
2255 | } | |
2256 | } | |
2257 | ||
8c35bbc5 | 2258 | /* Shift significand of exploded e-type X up by 16 bits. */ |
985b6196 | 2259 | |
b6ca239d | 2260 | static void |
985b6196 | 2261 | eshup6 (x) |
b3694847 | 2262 | UEMUSHORT *x; |
985b6196 RS |
2263 | { |
2264 | int i; | |
b3694847 | 2265 | UEMUSHORT *p; |
985b6196 RS |
2266 | |
2267 | p = x + M; | |
2268 | x += M + 1; | |
2269 | ||
2270 | for (i = M; i < NI - 1; i++) | |
2271 | *p++ = *x++; | |
2272 | ||
2273 | *p = 0; | |
2274 | } | |
2275 | ||
8c35bbc5 | 2276 | /* Shift significand of exploded e-type X down by 16 bits. */ |
985b6196 | 2277 | |
b6ca239d | 2278 | static void |
985b6196 | 2279 | eshdn6 (x) |
b3694847 | 2280 | UEMUSHORT *x; |
985b6196 RS |
2281 | { |
2282 | int i; | |
b3694847 | 2283 | UEMUSHORT *p; |
985b6196 RS |
2284 | |
2285 | x += NI - 1; | |
2286 | p = x + 1; | |
2287 | ||
2288 | for (i = M; i < NI - 1; i++) | |
2289 | *(--p) = *(--x); | |
2290 | ||
2291 | *(--p) = 0; | |
2292 | } | |
8c35bbc5 RK |
2293 | |
2294 | /* Add significands of exploded e-type X and Y. X + Y replaces Y. */ | |
985b6196 | 2295 | |
b6ca239d | 2296 | static void |
985b6196 | 2297 | eaddm (x, y) |
0c5d8c82 KG |
2298 | const UEMUSHORT *x; |
2299 | UEMUSHORT *y; | |
985b6196 | 2300 | { |
b3694847 | 2301 | unsigned EMULONG a; |
985b6196 RS |
2302 | int i; |
2303 | unsigned int carry; | |
2304 | ||
2305 | x += NI - 1; | |
2306 | y += NI - 1; | |
2307 | carry = 0; | |
2308 | for (i = M; i < NI; i++) | |
2309 | { | |
2310 | a = (unsigned EMULONG) (*x) + (unsigned EMULONG) (*y) + carry; | |
2311 | if (a & 0x10000) | |
2312 | carry = 1; | |
2313 | else | |
2314 | carry = 0; | |
177b41eb | 2315 | *y = (UEMUSHORT) a; |
985b6196 RS |
2316 | --x; |
2317 | --y; | |
2318 | } | |
2319 | } | |
2320 | ||
8c35bbc5 | 2321 | /* Subtract significands of exploded e-type X and Y. Y - X replaces Y. */ |
985b6196 | 2322 | |
b6ca239d | 2323 | static void |
985b6196 | 2324 | esubm (x, y) |
0c5d8c82 KG |
2325 | const UEMUSHORT *x; |
2326 | UEMUSHORT *y; | |
985b6196 RS |
2327 | { |
2328 | unsigned EMULONG a; | |
2329 | int i; | |
2330 | unsigned int carry; | |
2331 | ||
2332 | x += NI - 1; | |
2333 | y += NI - 1; | |
2334 | carry = 0; | |
2335 | for (i = M; i < NI; i++) | |
2336 | { | |
2337 | a = (unsigned EMULONG) (*y) - (unsigned EMULONG) (*x) - carry; | |
2338 | if (a & 0x10000) | |
2339 | carry = 1; | |
2340 | else | |
2341 | carry = 0; | |
177b41eb | 2342 | *y = (UEMUSHORT) a; |
985b6196 RS |
2343 | --x; |
2344 | --y; | |
2345 | } | |
2346 | } | |
2347 | ||
2348 | ||
177b41eb | 2349 | static UEMUSHORT equot[NI]; |
985b6196 | 2350 | |
842fbaaa JW |
2351 | |
2352 | #if 0 | |
2353 | /* Radix 2 shift-and-add versions of multiply and divide */ | |
2354 | ||
2355 | ||
2356 | /* Divide significands */ | |
2357 | ||
b6ca239d | 2358 | int |
985b6196 | 2359 | edivm (den, num) |
177b41eb | 2360 | UEMUSHORT den[], num[]; |
985b6196 RS |
2361 | { |
2362 | int i; | |
b3694847 | 2363 | UEMUSHORT *p, *q; |
177b41eb | 2364 | UEMUSHORT j; |
985b6196 RS |
2365 | |
2366 | p = &equot[0]; | |
2367 | *p++ = num[0]; | |
2368 | *p++ = num[1]; | |
2369 | ||
2370 | for (i = M; i < NI; i++) | |
2371 | { | |
2372 | *p++ = 0; | |
2373 | } | |
2374 | ||
defb5dab RK |
2375 | /* Use faster compare and subtraction if denominator has only 15 bits of |
2376 | significance. */ | |
2377 | ||
985b6196 RS |
2378 | p = &den[M + 2]; |
2379 | if (*p++ == 0) | |
2380 | { | |
2381 | for (i = M + 3; i < NI; i++) | |
2382 | { | |
2383 | if (*p++ != 0) | |
2384 | goto fulldiv; | |
2385 | } | |
2386 | if ((den[M + 1] & 1) != 0) | |
2387 | goto fulldiv; | |
2388 | eshdn1 (num); | |
2389 | eshdn1 (den); | |
2390 | ||
2391 | p = &den[M + 1]; | |
2392 | q = &num[M + 1]; | |
2393 | ||
2394 | for (i = 0; i < NBITS + 2; i++) | |
2395 | { | |
2396 | if (*p <= *q) | |
2397 | { | |
2398 | *q -= *p; | |
2399 | j = 1; | |
2400 | } | |
2401 | else | |
2402 | { | |
2403 | j = 0; | |
2404 | } | |
2405 | eshup1 (equot); | |
2406 | equot[NI - 2] |= j; | |
2407 | eshup1 (num); | |
2408 | } | |
2409 | goto divdon; | |
2410 | } | |
2411 | ||
defb5dab RK |
2412 | /* The number of quotient bits to calculate is NBITS + 1 scaling guard |
2413 | bit + 1 roundoff bit. */ | |
2414 | ||
985b6196 RS |
2415 | fulldiv: |
2416 | ||
2417 | p = &equot[NI - 2]; | |
2418 | for (i = 0; i < NBITS + 2; i++) | |
2419 | { | |
2420 | if (ecmpm (den, num) <= 0) | |
2421 | { | |
2422 | esubm (den, num); | |
2423 | j = 1; /* quotient bit = 1 */ | |
2424 | } | |
2425 | else | |
2426 | j = 0; | |
2427 | eshup1 (equot); | |
2428 | *p |= j; | |
2429 | eshup1 (num); | |
2430 | } | |
2431 | ||
2432 | divdon: | |
2433 | ||
2434 | eshdn1 (equot); | |
2435 | eshdn1 (equot); | |
2436 | ||
2437 | /* test for nonzero remainder after roundoff bit */ | |
2438 | p = &num[M]; | |
2439 | j = 0; | |
2440 | for (i = M; i < NI; i++) | |
2441 | { | |
2442 | j |= *p++; | |
2443 | } | |
2444 | if (j) | |
2445 | j = 1; | |
2446 | ||
2447 | ||
2448 | for (i = 0; i < NI; i++) | |
2449 | num[i] = equot[i]; | |
2450 | return ((int) j); | |
2451 | } | |
2452 | ||
2453 | ||
2454 | /* Multiply significands */ | |
0f41302f | 2455 | |
b6ca239d | 2456 | int |
985b6196 | 2457 | emulm (a, b) |
177b41eb | 2458 | UEMUSHORT a[], b[]; |
985b6196 | 2459 | { |
177b41eb | 2460 | UEMUSHORT *p, *q; |
985b6196 RS |
2461 | int i, j, k; |
2462 | ||
2463 | equot[0] = b[0]; | |
2464 | equot[1] = b[1]; | |
2465 | for (i = M; i < NI; i++) | |
2466 | equot[i] = 0; | |
2467 | ||
2468 | p = &a[NI - 2]; | |
2469 | k = NBITS; | |
defb5dab | 2470 | while (*p == 0) /* significand is not supposed to be zero */ |
985b6196 RS |
2471 | { |
2472 | eshdn6 (a); | |
2473 | k -= 16; | |
2474 | } | |
2475 | if ((*p & 0xff) == 0) | |
2476 | { | |
2477 | eshdn8 (a); | |
2478 | k -= 8; | |
2479 | } | |
2480 | ||
2481 | q = &equot[NI - 1]; | |
2482 | j = 0; | |
2483 | for (i = 0; i < k; i++) | |
2484 | { | |
2485 | if (*p & 1) | |
2486 | eaddm (b, equot); | |
2487 | /* remember if there were any nonzero bits shifted out */ | |
2488 | if (*q & 1) | |
2489 | j |= 1; | |
2490 | eshdn1 (a); | |
2491 | eshdn1 (equot); | |
2492 | } | |
2493 | ||
2494 | for (i = 0; i < NI; i++) | |
2495 | b[i] = equot[i]; | |
2496 | ||
2497 | /* return flag for lost nonzero bits */ | |
2498 | return (j); | |
2499 | } | |
2500 | ||
842fbaaa JW |
2501 | #else |
2502 | ||
8c35bbc5 | 2503 | /* Radix 65536 versions of multiply and divide. */ |
842fbaaa | 2504 | |
8c35bbc5 | 2505 | /* Multiply significand of e-type number B |
0f41302f | 2506 | by 16-bit quantity A, return e-type result to C. */ |
842fbaaa | 2507 | |
a0353055 | 2508 | static void |
242cef1e | 2509 | m16m (a, b, c) |
c92d992a | 2510 | unsigned int a; |
0c5d8c82 KG |
2511 | const UEMUSHORT b[]; |
2512 | UEMUSHORT c[]; | |
842fbaaa | 2513 | { |
b3694847 SS |
2514 | UEMUSHORT *pp; |
2515 | unsigned EMULONG carry; | |
0c5d8c82 | 2516 | const UEMUSHORT *ps; |
177b41eb | 2517 | UEMUSHORT p[NI]; |
8c35bbc5 | 2518 | unsigned EMULONG aa, m; |
242cef1e RS |
2519 | int i; |
2520 | ||
2521 | aa = a; | |
2522 | pp = &p[NI-2]; | |
2523 | *pp++ = 0; | |
2524 | *pp = 0; | |
2525 | ps = &b[NI-1]; | |
2526 | ||
2527 | for (i=M+1; i<NI; i++) | |
2528 | { | |
2529 | if (*ps == 0) | |
842fbaaa | 2530 | { |
242cef1e RS |
2531 | --ps; |
2532 | --pp; | |
2533 | *(pp-1) = 0; | |
842fbaaa | 2534 | } |
242cef1e RS |
2535 | else |
2536 | { | |
8c35bbc5 | 2537 | m = (unsigned EMULONG) aa * *ps--; |
242cef1e | 2538 | carry = (m & 0xffff) + *pp; |
8e2e89f7 | 2539 | *pp-- = (UEMUSHORT) carry; |
242cef1e | 2540 | carry = (carry >> 16) + (m >> 16) + *pp; |
8e2e89f7 | 2541 | *pp = (UEMUSHORT) carry; |
242cef1e RS |
2542 | *(pp-1) = carry >> 16; |
2543 | } | |
2544 | } | |
2545 | for (i=M; i<NI; i++) | |
2546 | c[i] = p[i]; | |
842fbaaa JW |
2547 | } |
2548 | ||
8c35bbc5 RK |
2549 | /* Divide significands of exploded e-types NUM / DEN. Neither the |
2550 | numerator NUM nor the denominator DEN is permitted to have its high guard | |
2551 | word nonzero. */ | |
842fbaaa | 2552 | |
a0353055 | 2553 | static int |
242cef1e | 2554 | edivm (den, num) |
0c5d8c82 KG |
2555 | const UEMUSHORT den[]; |
2556 | UEMUSHORT num[]; | |
842fbaaa | 2557 | { |
242cef1e | 2558 | int i; |
b3694847 | 2559 | UEMUSHORT *p; |
8c35bbc5 | 2560 | unsigned EMULONG tnum; |
177b41eb RL |
2561 | UEMUSHORT j, tdenm, tquot; |
2562 | UEMUSHORT tprod[NI+1]; | |
842fbaaa | 2563 | |
242cef1e RS |
2564 | p = &equot[0]; |
2565 | *p++ = num[0]; | |
2566 | *p++ = num[1]; | |
842fbaaa | 2567 | |
242cef1e RS |
2568 | for (i=M; i<NI; i++) |
2569 | { | |
2570 | *p++ = 0; | |
2571 | } | |
2572 | eshdn1 (num); | |
2573 | tdenm = den[M+1]; | |
2574 | for (i=M; i<NI; i++) | |
2575 | { | |
0f41302f | 2576 | /* Find trial quotient digit (the radix is 65536). */ |
8c35bbc5 | 2577 | tnum = (((unsigned EMULONG) num[M]) << 16) + num[M+1]; |
242cef1e | 2578 | |
0f41302f | 2579 | /* Do not execute the divide instruction if it will overflow. */ |
f4f4d0f8 | 2580 | if ((tdenm * (unsigned long) 0xffff) < tnum) |
242cef1e RS |
2581 | tquot = 0xffff; |
2582 | else | |
2583 | tquot = tnum / tdenm; | |
0f41302f | 2584 | /* Multiply denominator by trial quotient digit. */ |
8e2e89f7 | 2585 | m16m ((unsigned int) tquot, den, tprod); |
0f41302f | 2586 | /* The quotient digit may have been overestimated. */ |
242cef1e | 2587 | if (ecmpm (tprod, num) > 0) |
842fbaaa | 2588 | { |
242cef1e RS |
2589 | tquot -= 1; |
2590 | esubm (den, tprod); | |
2591 | if (ecmpm (tprod, num) > 0) | |
2592 | { | |
2593 | tquot -= 1; | |
2594 | esubm (den, tprod); | |
2595 | } | |
842fbaaa | 2596 | } |
242cef1e RS |
2597 | esubm (tprod, num); |
2598 | equot[i] = tquot; | |
8e2e89f7 | 2599 | eshup6 (num); |
242cef1e RS |
2600 | } |
2601 | /* test for nonzero remainder after roundoff bit */ | |
2602 | p = &num[M]; | |
2603 | j = 0; | |
2604 | for (i=M; i<NI; i++) | |
2605 | { | |
2606 | j |= *p++; | |
2607 | } | |
2608 | if (j) | |
2609 | j = 1; | |
842fbaaa | 2610 | |
242cef1e RS |
2611 | for (i=0; i<NI; i++) |
2612 | num[i] = equot[i]; | |
842fbaaa | 2613 | |
8e2e89f7 | 2614 | return ((int) j); |
842fbaaa JW |
2615 | } |
2616 | ||
8c35bbc5 | 2617 | /* Multiply significands of exploded e-type A and B, result in B. */ |
842fbaaa | 2618 | |
a0353055 | 2619 | static int |
242cef1e | 2620 | emulm (a, b) |
0c5d8c82 KG |
2621 | const UEMUSHORT a[]; |
2622 | UEMUSHORT b[]; | |
842fbaaa | 2623 | { |
0c5d8c82 KG |
2624 | const UEMUSHORT *p; |
2625 | UEMUSHORT *q; | |
177b41eb RL |
2626 | UEMUSHORT pprod[NI]; |
2627 | UEMUSHORT j; | |
242cef1e RS |
2628 | int i; |
2629 | ||
2630 | equot[0] = b[0]; | |
2631 | equot[1] = b[1]; | |
2632 | for (i=M; i<NI; i++) | |
2633 | equot[i] = 0; | |
2634 | ||
2635 | j = 0; | |
2636 | p = &a[NI-1]; | |
2637 | q = &equot[NI-1]; | |
2638 | for (i=M+1; i<NI; i++) | |
2639 | { | |
2640 | if (*p == 0) | |
842fbaaa | 2641 | { |
242cef1e RS |
2642 | --p; |
2643 | } | |
2644 | else | |
2645 | { | |
c92d992a | 2646 | m16m ((unsigned int) *p--, b, pprod); |
8e2e89f7 | 2647 | eaddm (pprod, equot); |
842fbaaa | 2648 | } |
242cef1e | 2649 | j |= *q; |
8e2e89f7 | 2650 | eshdn6 (equot); |
242cef1e | 2651 | } |
842fbaaa | 2652 | |
242cef1e RS |
2653 | for (i=0; i<NI; i++) |
2654 | b[i] = equot[i]; | |
842fbaaa | 2655 | |
242cef1e | 2656 | /* return flag for lost nonzero bits */ |
8e2e89f7 | 2657 | return ((int) j); |
842fbaaa JW |
2658 | } |
2659 | #endif | |
985b6196 RS |
2660 | |
2661 | ||
defb5dab | 2662 | /* Normalize and round off. |
985b6196 | 2663 | |
8c35bbc5 RK |
2664 | The internal format number to be rounded is S. |
2665 | Input LOST is 0 if the value is exact. This is the so-called sticky bit. | |
b6ca239d | 2666 | |
8c35bbc5 RK |
2667 | Input SUBFLG indicates whether the number was obtained |
2668 | by a subtraction operation. In that case if LOST is nonzero | |
defb5dab | 2669 | then the number is slightly smaller than indicated. |
b6ca239d | 2670 | |
8c35bbc5 RK |
2671 | Input EXP is the biased exponent, which may be negative. |
2672 | the exponent field of S is ignored but is replaced by | |
2673 | EXP as adjusted by normalization and rounding. | |
b6ca239d | 2674 | |
8c35bbc5 RK |
2675 | Input RCNTRL is the rounding control. If it is nonzero, the |
2676 | returned value will be rounded to RNDPRC bits. | |
defb5dab RK |
2677 | |
2678 | For future reference: In order for emdnorm to round off denormal | |
842fbaaa JW |
2679 | significands at the right point, the input exponent must be |
2680 | adjusted to be the actual value it would have after conversion to | |
2681 | the final floating point type. This adjustment has been | |
2682 | implemented for all type conversions (etoe53, etc.) and decimal | |
b6ca239d | 2683 | conversions, but not for the arithmetic functions (eadd, etc.). |
842fbaaa JW |
2684 | Data types having standard 15-bit exponents are not affected by |
2685 | this, but SFmode and DFmode are affected. For example, ediv with | |
2686 | rndprc = 24 will not round correctly to 24-bit precision if the | |
6d2f8887 | 2687 | result is denormal. */ |
842fbaaa | 2688 | |
985b6196 RS |
2689 | static int rlast = -1; |
2690 | static int rw = 0; | |
177b41eb RL |
2691 | static UEMUSHORT rmsk = 0; |
2692 | static UEMUSHORT rmbit = 0; | |
2693 | static UEMUSHORT rebit = 0; | |
985b6196 | 2694 | static int re = 0; |
177b41eb | 2695 | static UEMUSHORT rbit[NI]; |
985b6196 | 2696 | |
b6ca239d | 2697 | static void |
985b6196 | 2698 | emdnorm (s, lost, subflg, exp, rcntrl) |
177b41eb | 2699 | UEMUSHORT s[]; |
985b6196 | 2700 | int lost; |
d71f7700 | 2701 | int subflg ATTRIBUTE_UNUSED; |
985b6196 RS |
2702 | EMULONG exp; |
2703 | int rcntrl; | |
2704 | { | |
2705 | int i, j; | |
177b41eb | 2706 | UEMUSHORT r; |
985b6196 RS |
2707 | |
2708 | /* Normalize */ | |
2709 | j = enormlz (s); | |
2710 | ||
0f41302f | 2711 | /* a blank significand could mean either zero or infinity. */ |
985b6196 RS |
2712 | #ifndef INFINITY |
2713 | if (j > NBITS) | |
2714 | { | |
2715 | ecleazs (s); | |
2716 | return; | |
2717 | } | |
2718 | #endif | |
2719 | exp -= j; | |
2720 | #ifndef INFINITY | |
2721 | if (exp >= 32767L) | |
2722 | goto overf; | |
2723 | #else | |
2724 | if ((j > NBITS) && (exp < 32767)) | |
2725 | { | |
2726 | ecleazs (s); | |
2727 | return; | |
2728 | } | |
2729 | #endif | |
2730 | if (exp < 0L) | |
2731 | { | |
2732 | if (exp > (EMULONG) (-NBITS - 1)) | |
2733 | { | |
2734 | j = (int) exp; | |
2735 | i = eshift (s, j); | |
2736 | if (i) | |
2737 | lost = 1; | |
2738 | } | |
2739 | else | |
2740 | { | |
2741 | ecleazs (s); | |
2742 | return; | |
2743 | } | |
2744 | } | |
0f41302f | 2745 | /* Round off, unless told not to by rcntrl. */ |
985b6196 RS |
2746 | if (rcntrl == 0) |
2747 | goto mdfin; | |
0f41302f | 2748 | /* Set up rounding parameters if the control register changed. */ |
985b6196 RS |
2749 | if (rndprc != rlast) |
2750 | { | |
2751 | ecleaz (rbit); | |
2752 | switch (rndprc) | |
2753 | { | |
2754 | default: | |
2755 | case NBITS: | |
2756 | rw = NI - 1; /* low guard word */ | |
2757 | rmsk = 0xffff; | |
2758 | rmbit = 0x8000; | |
842fbaaa | 2759 | re = rw - 1; |
985b6196 RS |
2760 | rebit = 1; |
2761 | break; | |
f5963e61 | 2762 | |
842fbaaa JW |
2763 | case 113: |
2764 | rw = 10; | |
2765 | rmsk = 0x7fff; | |
2766 | rmbit = 0x4000; | |
2767 | rebit = 0x8000; | |
2768 | re = rw; | |
2769 | break; | |
f5963e61 | 2770 | |
985b6196 RS |
2771 | case 64: |
2772 | rw = 7; | |
2773 | rmsk = 0xffff; | |
2774 | rmbit = 0x8000; | |
985b6196 RS |
2775 | re = rw - 1; |
2776 | rebit = 1; | |
2777 | break; | |
f5963e61 | 2778 | |
842fbaaa | 2779 | /* For DEC or IBM arithmetic */ |
985b6196 RS |
2780 | case 56: |
2781 | rw = 6; | |
2782 | rmsk = 0xff; | |
2783 | rmbit = 0x80; | |
985b6196 | 2784 | rebit = 0x100; |
842fbaaa | 2785 | re = rw; |
985b6196 | 2786 | break; |
f5963e61 | 2787 | |
985b6196 RS |
2788 | case 53: |
2789 | rw = 6; | |
2790 | rmsk = 0x7ff; | |
2791 | rmbit = 0x0400; | |
985b6196 | 2792 | rebit = 0x800; |
842fbaaa | 2793 | re = rw; |
985b6196 | 2794 | break; |
f5963e61 JL |
2795 | |
2796 | /* For C4x arithmetic */ | |
2797 | case 32: | |
2798 | rw = 5; | |
2799 | rmsk = 0xffff; | |
2800 | rmbit = 0x8000; | |
2801 | rebit = 1; | |
2802 | re = rw - 1; | |
2803 | break; | |
2804 | ||
985b6196 RS |
2805 | case 24: |
2806 | rw = 4; | |
2807 | rmsk = 0xff; | |
2808 | rmbit = 0x80; | |
985b6196 | 2809 | rebit = 0x100; |
842fbaaa | 2810 | re = rw; |
985b6196 RS |
2811 | break; |
2812 | } | |
842fbaaa | 2813 | rbit[re] = rebit; |
985b6196 RS |
2814 | rlast = rndprc; |
2815 | } | |
2816 | ||
842fbaaa | 2817 | /* Shift down 1 temporarily if the data structure has an implied |
d730ef29 RK |
2818 | most significant bit and the number is denormal. |
2819 | Intel long double denormals also lose one bit of precision. */ | |
2820 | if ((exp <= 0) && (rndprc != NBITS) | |
2821 | && ((rndprc != 64) || ((rndprc == 64) && ! REAL_WORDS_BIG_ENDIAN))) | |
985b6196 | 2822 | { |
842fbaaa JW |
2823 | lost |= s[NI - 1] & 1; |
2824 | eshdn1 (s); | |
985b6196 | 2825 | } |
842fbaaa JW |
2826 | /* Clear out all bits below the rounding bit, |
2827 | remembering in r if any were nonzero. */ | |
2828 | r = s[rw] & rmsk; | |
2829 | if (rndprc < NBITS) | |
985b6196 | 2830 | { |
985b6196 RS |
2831 | i = rw + 1; |
2832 | while (i < NI) | |
2833 | { | |
2834 | if (s[i]) | |
2835 | r |= 1; | |
2836 | s[i] = 0; | |
2837 | ++i; | |
2838 | } | |
985b6196 | 2839 | } |
afb817fd | 2840 | s[rw] &= ~rmsk; |
985b6196 RS |
2841 | if ((r & rmbit) != 0) |
2842 | { | |
506b012c | 2843 | #ifndef C4X |
985b6196 RS |
2844 | if (r == rmbit) |
2845 | { | |
2846 | if (lost == 0) | |
2847 | { /* round to even */ | |
2848 | if ((s[re] & rebit) == 0) | |
2849 | goto mddone; | |
2850 | } | |
2851 | else | |
2852 | { | |
2853 | if (subflg != 0) | |
2854 | goto mddone; | |
2855 | } | |
2856 | } | |
506b012c | 2857 | #endif |
985b6196 RS |
2858 | eaddm (rbit, s); |
2859 | } | |
d71f7700 | 2860 | #ifndef C4X |
985b6196 | 2861 | mddone: |
d71f7700 | 2862 | #endif |
0f41302f | 2863 | /* Undo the temporary shift for denormal values. */ |
d730ef29 RK |
2864 | if ((exp <= 0) && (rndprc != NBITS) |
2865 | && ((rndprc != 64) || ((rndprc == 64) && ! REAL_WORDS_BIG_ENDIAN))) | |
985b6196 RS |
2866 | { |
2867 | eshup1 (s); | |
2868 | } | |
2869 | if (s[2] != 0) | |
2870 | { /* overflow on roundoff */ | |
2871 | eshdn1 (s); | |
2872 | exp += 1; | |
2873 | } | |
2874 | mdfin: | |
2875 | s[NI - 1] = 0; | |
2876 | if (exp >= 32767L) | |
2877 | { | |
2878 | #ifndef INFINITY | |
2879 | overf: | |
2880 | #endif | |
2881 | #ifdef INFINITY | |
2882 | s[1] = 32767; | |
2883 | for (i = 2; i < NI - 1; i++) | |
2884 | s[i] = 0; | |
64685ffa RS |
2885 | if (extra_warnings) |
2886 | warning ("floating point overflow"); | |
985b6196 RS |
2887 | #else |
2888 | s[1] = 32766; | |
2889 | s[2] = 0; | |
2890 | for (i = M + 1; i < NI - 1; i++) | |
2891 | s[i] = 0xffff; | |
2892 | s[NI - 1] = 0; | |
842fbaaa | 2893 | if ((rndprc < 64) || (rndprc == 113)) |
985b6196 RS |
2894 | { |
2895 | s[rw] &= ~rmsk; | |
2896 | if (rndprc == 24) | |
2897 | { | |
2898 | s[5] = 0; | |
2899 | s[6] = 0; | |
2900 | } | |
2901 | } | |
2902 | #endif | |
2903 | return; | |
2904 | } | |
2905 | if (exp < 0) | |
2906 | s[1] = 0; | |
2907 | else | |
177b41eb | 2908 | s[1] = (UEMUSHORT) exp; |
985b6196 RS |
2909 | } |
2910 | ||
8c35bbc5 | 2911 | /* Subtract. C = B - A, all e type numbers. */ |
985b6196 RS |
2912 | |
2913 | static int subflg = 0; | |
2914 | ||
b6ca239d | 2915 | static void |
985b6196 | 2916 | esub (a, b, c) |
0c5d8c82 KG |
2917 | const UEMUSHORT *a, *b; |
2918 | UEMUSHORT *c; | |
985b6196 RS |
2919 | { |
2920 | ||
66b6d60b RS |
2921 | #ifdef NANS |
2922 | if (eisnan (a)) | |
2923 | { | |
2924 | emov (a, c); | |
2925 | return; | |
2926 | } | |
2927 | if (eisnan (b)) | |
2928 | { | |
2929 | emov (b, c); | |
2930 | return; | |
2931 | } | |
2932 | /* Infinity minus infinity is a NaN. | |
0f41302f | 2933 | Test for subtracting infinities of the same sign. */ |
66b6d60b RS |
2934 | if (eisinf (a) && eisinf (b) |
2935 | && ((eisneg (a) ^ eisneg (b)) == 0)) | |
2936 | { | |
2937 | mtherr ("esub", INVALID); | |
29e11dab | 2938 | enan (c, 0); |
66b6d60b RS |
2939 | return; |
2940 | } | |
2941 | #endif | |
985b6196 RS |
2942 | subflg = 1; |
2943 | eadd1 (a, b, c); | |
2944 | } | |
2945 | ||
0f41302f | 2946 | /* Add. C = A + B, all e type. */ |
a0353055 | 2947 | |
b6ca239d | 2948 | static void |
985b6196 | 2949 | eadd (a, b, c) |
0c5d8c82 KG |
2950 | const UEMUSHORT *a, *b; |
2951 | UEMUSHORT *c; | |
985b6196 RS |
2952 | { |
2953 | ||
66b6d60b | 2954 | #ifdef NANS |
0f41302f | 2955 | /* NaN plus anything is a NaN. */ |
66b6d60b RS |
2956 | if (eisnan (a)) |
2957 | { | |
2958 | emov (a, c); | |
2959 | return; | |
2960 | } | |
2961 | if (eisnan (b)) | |
2962 | { | |
2963 | emov (b, c); | |
2964 | return; | |
2965 | } | |
2966 | /* Infinity minus infinity is a NaN. | |
0f41302f | 2967 | Test for adding infinities of opposite signs. */ |
66b6d60b RS |
2968 | if (eisinf (a) && eisinf (b) |
2969 | && ((eisneg (a) ^ eisneg (b)) != 0)) | |
2970 | { | |
2971 | mtherr ("esub", INVALID); | |
29e11dab | 2972 | enan (c, 0); |
66b6d60b RS |
2973 | return; |
2974 | } | |
2975 | #endif | |
985b6196 RS |
2976 | subflg = 0; |
2977 | eadd1 (a, b, c); | |
2978 | } | |
2979 | ||
8c35bbc5 RK |
2980 | /* Arithmetic common to both addition and subtraction. */ |
2981 | ||
b6ca239d | 2982 | static void |
985b6196 | 2983 | eadd1 (a, b, c) |
0c5d8c82 KG |
2984 | const UEMUSHORT *a, *b; |
2985 | UEMUSHORT *c; | |
985b6196 | 2986 | { |
177b41eb | 2987 | UEMUSHORT ai[NI], bi[NI], ci[NI]; |
985b6196 RS |
2988 | int i, lost, j, k; |
2989 | EMULONG lt, lta, ltb; | |
2990 | ||
2991 | #ifdef INFINITY | |
2992 | if (eisinf (a)) | |
2993 | { | |
2994 | emov (a, c); | |
2995 | if (subflg) | |
2996 | eneg (c); | |
2997 | return; | |
2998 | } | |
2999 | if (eisinf (b)) | |
3000 | { | |
3001 | emov (b, c); | |
3002 | return; | |
3003 | } | |
3004 | #endif | |
3005 | emovi (a, ai); | |
3006 | emovi (b, bi); | |
3007 | if (subflg) | |
3008 | ai[0] = ~ai[0]; | |
3009 | ||
3010 | /* compare exponents */ | |
3011 | lta = ai[E]; | |
3012 | ltb = bi[E]; | |
3013 | lt = lta - ltb; | |
3014 | if (lt > 0L) | |
3015 | { /* put the larger number in bi */ | |
3016 | emovz (bi, ci); | |
3017 | emovz (ai, bi); | |
3018 | emovz (ci, ai); | |
3019 | ltb = bi[E]; | |
3020 | lt = -lt; | |
3021 | } | |
3022 | lost = 0; | |
3023 | if (lt != 0L) | |
3024 | { | |
3025 | if (lt < (EMULONG) (-NBITS - 1)) | |
3026 | goto done; /* answer same as larger addend */ | |
3027 | k = (int) lt; | |
3028 | lost = eshift (ai, k); /* shift the smaller number down */ | |
3029 | } | |
3030 | else | |
3031 | { | |
3032 | /* exponents were the same, so must compare significands */ | |
3033 | i = ecmpm (ai, bi); | |
3034 | if (i == 0) | |
3035 | { /* the numbers are identical in magnitude */ | |
3036 | /* if different signs, result is zero */ | |
3037 | if (ai[0] != bi[0]) | |
3038 | { | |
3039 | eclear (c); | |
3040 | return; | |
3041 | } | |
3042 | /* if same sign, result is double */ | |
9faa82d8 | 3043 | /* double denormalized tiny number */ |
985b6196 RS |
3044 | if ((bi[E] == 0) && ((bi[3] & 0x8000) == 0)) |
3045 | { | |
3046 | eshup1 (bi); | |
3047 | goto done; | |
3048 | } | |
3049 | /* add 1 to exponent unless both are zero! */ | |
3050 | for (j = 1; j < NI - 1; j++) | |
3051 | { | |
3052 | if (bi[j] != 0) | |
3053 | { | |
985b6196 | 3054 | ltb += 1; |
2dedbe1f RK |
3055 | if (ltb >= 0x7fff) |
3056 | { | |
3057 | eclear (c); | |
3058 | if (ai[0] != 0) | |
3059 | eneg (c); | |
3060 | einfin (c); | |
3061 | return; | |
3062 | } | |
985b6196 RS |
3063 | break; |
3064 | } | |
3065 | } | |
177b41eb | 3066 | bi[E] = (UEMUSHORT) ltb; |
985b6196 RS |
3067 | goto done; |
3068 | } | |
3069 | if (i > 0) | |
3070 | { /* put the larger number in bi */ | |
3071 | emovz (bi, ci); | |
3072 | emovz (ai, bi); | |
3073 | emovz (ci, ai); | |
3074 | } | |
3075 | } | |
3076 | if (ai[0] == bi[0]) | |
3077 | { | |
3078 | eaddm (ai, bi); | |
3079 | subflg = 0; | |
3080 | } | |
3081 | else | |
3082 | { | |
3083 | esubm (ai, bi); | |
3084 | subflg = 1; | |
3085 | } | |
3fcaac1d | 3086 | emdnorm (bi, lost, subflg, ltb, !ROUND_TOWARDS_ZERO); |
985b6196 RS |
3087 | |
3088 | done: | |
3089 | emovo (bi, c); | |
3090 | } | |
3091 | ||
8c35bbc5 | 3092 | /* Divide: C = B/A, all e type. */ |
a0353055 | 3093 | |
b6ca239d | 3094 | static void |
985b6196 | 3095 | ediv (a, b, c) |
0c5d8c82 KG |
3096 | const UEMUSHORT *a, *b; |
3097 | UEMUSHORT *c; | |
985b6196 | 3098 | { |
177b41eb | 3099 | UEMUSHORT ai[NI], bi[NI]; |
d56390c4 | 3100 | int i, sign; |
985b6196 RS |
3101 | EMULONG lt, lta, ltb; |
3102 | ||
d56390c4 RK |
3103 | /* IEEE says if result is not a NaN, the sign is "-" if and only if |
3104 | operands have opposite signs -- but flush -0 to 0 later if not IEEE. */ | |
8e2e89f7 | 3105 | sign = eisneg (a) ^ eisneg (b); |
d56390c4 | 3106 | |
66b6d60b | 3107 | #ifdef NANS |
0f41302f | 3108 | /* Return any NaN input. */ |
66b6d60b RS |
3109 | if (eisnan (a)) |
3110 | { | |
3111 | emov (a, c); | |
3112 | return; | |
3113 | } | |
3114 | if (eisnan (b)) | |
3115 | { | |
3116 | emov (b, c); | |
3117 | return; | |
3118 | } | |
0f41302f | 3119 | /* Zero over zero, or infinity over infinity, is a NaN. */ |
66b6d60b RS |
3120 | if (((ecmp (a, ezero) == 0) && (ecmp (b, ezero) == 0)) |
3121 | || (eisinf (a) && eisinf (b))) | |
3122 | { | |
3123 | mtherr ("ediv", INVALID); | |
d56390c4 | 3124 | enan (c, sign); |
66b6d60b RS |
3125 | return; |
3126 | } | |
3127 | #endif | |
0f41302f | 3128 | /* Infinity over anything else is infinity. */ |
985b6196 RS |
3129 | #ifdef INFINITY |
3130 | if (eisinf (b)) | |
3131 | { | |
985b6196 | 3132 | einfin (c); |
d56390c4 | 3133 | goto divsign; |
985b6196 | 3134 | } |
0f41302f | 3135 | /* Anything else over infinity is zero. */ |
985b6196 RS |
3136 | if (eisinf (a)) |
3137 | { | |
3138 | eclear (c); | |
d56390c4 | 3139 | goto divsign; |
985b6196 RS |
3140 | } |
3141 | #endif | |
3142 | emovi (a, ai); | |
3143 | emovi (b, bi); | |
3144 | lta = ai[E]; | |
3145 | ltb = bi[E]; | |
3146 | if (bi[E] == 0) | |
0f41302f | 3147 | { /* See if numerator is zero. */ |
985b6196 RS |
3148 | for (i = 1; i < NI - 1; i++) |
3149 | { | |
3150 | if (bi[i] != 0) | |
3151 | { | |
3152 | ltb -= enormlz (bi); | |
3153 | goto dnzro1; | |
3154 | } | |
3155 | } | |
3156 | eclear (c); | |
d56390c4 | 3157 | goto divsign; |
985b6196 RS |
3158 | } |
3159 | dnzro1: | |
3160 | ||
3161 | if (ai[E] == 0) | |
3162 | { /* possible divide by zero */ | |
3163 | for (i = 1; i < NI - 1; i++) | |
3164 | { | |
3165 | if (ai[i] != 0) | |
3166 | { | |
3167 | lta -= enormlz (ai); | |
3168 | goto dnzro2; | |
3169 | } | |
3170 | } | |
66b6d60b RS |
3171 | /* Divide by zero is not an invalid operation. |
3172 | It is a divide-by-zero operation! */ | |
985b6196 RS |
3173 | einfin (c); |
3174 | mtherr ("ediv", SING); | |
d56390c4 | 3175 | goto divsign; |
985b6196 RS |
3176 | } |
3177 | dnzro2: | |
3178 | ||
3179 | i = edivm (ai, bi); | |
3180 | /* calculate exponent */ | |
3181 | lt = ltb - lta + EXONE; | |
3fcaac1d | 3182 | emdnorm (bi, i, 0, lt, !ROUND_TOWARDS_ZERO); |
985b6196 | 3183 | emovo (bi, c); |
d56390c4 RK |
3184 | |
3185 | divsign: | |
3186 | ||
3187 | if (sign | |
3188 | #ifndef IEEE | |
3189 | && (ecmp (c, ezero) != 0) | |
3190 | #endif | |
3191 | ) | |
3192 | *(c+(NE-1)) |= 0x8000; | |
3193 | else | |
3194 | *(c+(NE-1)) &= ~0x8000; | |
985b6196 RS |
3195 | } |
3196 | ||
6d2f8887 | 3197 | /* Multiply e-types A and B, return e-type product C. */ |
a0353055 | 3198 | |
b6ca239d | 3199 | static void |
985b6196 | 3200 | emul (a, b, c) |
0c5d8c82 KG |
3201 | const UEMUSHORT *a, *b; |
3202 | UEMUSHORT *c; | |
985b6196 | 3203 | { |
177b41eb | 3204 | UEMUSHORT ai[NI], bi[NI]; |
d56390c4 | 3205 | int i, j, sign; |
985b6196 RS |
3206 | EMULONG lt, lta, ltb; |
3207 | ||
d56390c4 RK |
3208 | /* IEEE says if result is not a NaN, the sign is "-" if and only if |
3209 | operands have opposite signs -- but flush -0 to 0 later if not IEEE. */ | |
8e2e89f7 | 3210 | sign = eisneg (a) ^ eisneg (b); |
d56390c4 | 3211 | |
66b6d60b | 3212 | #ifdef NANS |
0f41302f | 3213 | /* NaN times anything is the same NaN. */ |
66b6d60b RS |
3214 | if (eisnan (a)) |
3215 | { | |
3216 | emov (a, c); | |
3217 | return; | |
3218 | } | |
3219 | if (eisnan (b)) | |
3220 | { | |
3221 | emov (b, c); | |
3222 | return; | |
3223 | } | |
0f41302f | 3224 | /* Zero times infinity is a NaN. */ |
66b6d60b RS |
3225 | if ((eisinf (a) && (ecmp (b, ezero) == 0)) |
3226 | || (eisinf (b) && (ecmp (a, ezero) == 0))) | |
3227 | { | |
3228 | mtherr ("emul", INVALID); | |
d56390c4 | 3229 | enan (c, sign); |
66b6d60b RS |
3230 | return; |
3231 | } | |
3232 | #endif | |
0f41302f | 3233 | /* Infinity times anything else is infinity. */ |
985b6196 RS |
3234 | #ifdef INFINITY |
3235 | if (eisinf (a) || eisinf (b)) | |
3236 | { | |
985b6196 | 3237 | einfin (c); |
d56390c4 | 3238 | goto mulsign; |
985b6196 RS |
3239 | } |
3240 | #endif | |
3241 | emovi (a, ai); | |
3242 | emovi (b, bi); | |
3243 | lta = ai[E]; | |
3244 | ltb = bi[E]; | |
3245 | if (ai[E] == 0) | |
3246 | { | |
3247 | for (i = 1; i < NI - 1; i++) | |
3248 | { | |
3249 | if (ai[i] != 0) | |
3250 | { | |
3251 | lta -= enormlz (ai); | |
3252 | goto mnzer1; | |
3253 | } | |
3254 | } | |
3255 | eclear (c); | |
d56390c4 | 3256 | goto mulsign; |
985b6196 RS |
3257 | } |
3258 | mnzer1: | |
3259 | ||
3260 | if (bi[E] == 0) | |
3261 | { | |
3262 | for (i = 1; i < NI - 1; i++) | |
3263 | { | |
3264 | if (bi[i] != 0) | |
3265 | { | |
3266 | ltb -= enormlz (bi); | |
3267 | goto mnzer2; | |
3268 | } | |
3269 | } | |
3270 | eclear (c); | |
d56390c4 | 3271 | goto mulsign; |
985b6196 RS |
3272 | } |
3273 | mnzer2: | |
3274 | ||
3275 | /* Multiply significands */ | |
3276 | j = emulm (ai, bi); | |
3277 | /* calculate exponent */ | |
3278 | lt = lta + ltb - (EXONE - 1); | |
3fcaac1d | 3279 | emdnorm (bi, j, 0, lt, !ROUND_TOWARDS_ZERO); |
985b6196 | 3280 | emovo (bi, c); |
d56390c4 RK |
3281 | |
3282 | mulsign: | |
3283 | ||
3284 | if (sign | |
3285 | #ifndef IEEE | |
3286 | && (ecmp (c, ezero) != 0) | |
3287 | #endif | |
3288 | ) | |
3289 | *(c+(NE-1)) |= 0x8000; | |
3290 | else | |
3291 | *(c+(NE-1)) &= ~0x8000; | |
985b6196 RS |
3292 | } |
3293 | ||
8c35bbc5 | 3294 | /* Convert double precision PE to e-type Y. */ |
a0353055 RK |
3295 | |
3296 | static void | |
66b6d60b | 3297 | e53toe (pe, y) |
0c5d8c82 KG |
3298 | const UEMUSHORT *pe; |
3299 | UEMUSHORT *y; | |
985b6196 RS |
3300 | { |
3301 | #ifdef DEC | |
3302 | ||
8c35bbc5 | 3303 | dectoe (pe, y); |
985b6196 RS |
3304 | |
3305 | #else | |
842fbaaa JW |
3306 | #ifdef IBM |
3307 | ||
3308 | ibmtoe (pe, y, DFmode); | |
985b6196 | 3309 | |
f5963e61 JL |
3310 | #else |
3311 | #ifdef C4X | |
3312 | ||
3313 | c4xtoe (pe, y, HFmode); | |
3314 | ||
842fbaaa | 3315 | #else |
defb5dab | 3316 | |
45e574d0 JDA |
3317 | ieeetoe (pe, y, &ieee_53); |
3318 | ||
f5963e61 | 3319 | #endif /* not C4X */ |
842fbaaa | 3320 | #endif /* not IBM */ |
985b6196 RS |
3321 | #endif /* not DEC */ |
3322 | } | |
3323 | ||
8c35bbc5 RK |
3324 | /* Convert double extended precision float PE to e type Y. */ |
3325 | ||
b6ca239d | 3326 | static void |
66b6d60b | 3327 | e64toe (pe, y) |
0c5d8c82 KG |
3328 | const UEMUSHORT *pe; |
3329 | UEMUSHORT *y; | |
985b6196 | 3330 | { |
177b41eb | 3331 | UEMUSHORT yy[NI]; |
0c5d8c82 KG |
3332 | const UEMUSHORT *e; |
3333 | UEMUSHORT *p, *q; | |
985b6196 RS |
3334 | int i; |
3335 | ||
66b6d60b | 3336 | e = pe; |
985b6196 RS |
3337 | p = yy; |
3338 | for (i = 0; i < NE - 5; i++) | |
3339 | *p++ = 0; | |
45e574d0 JDA |
3340 | #ifndef C4X |
3341 | /* REAL_WORDS_BIG_ENDIAN is always 0 for DEC and 1 for IBM. | |
3342 | This precision is not ordinarily supported on DEC or IBM. */ | |
8c35bbc5 | 3343 | if (! REAL_WORDS_BIG_ENDIAN) |
f76b9db2 ILT |
3344 | { |
3345 | for (i = 0; i < 5; i++) | |
3346 | *p++ = *e++; | |
d730ef29 | 3347 | |
45e574d0 | 3348 | #ifdef IEEE |
d730ef29 RK |
3349 | /* For denormal long double Intel format, shift significand up one |
3350 | -- but only if the top significand bit is zero. A top bit of 1 | |
3351 | is "pseudodenormal" when the exponent is zero. */ | |
8e2e89f7 | 3352 | if ((yy[NE-1] & 0x7fff) == 0 && (yy[NE-2] & 0x8000) == 0) |
d730ef29 | 3353 | { |
177b41eb | 3354 | UEMUSHORT temp[NI]; |
d730ef29 | 3355 | |
8e2e89f7 KH |
3356 | emovi (yy, temp); |
3357 | eshup1 (temp); | |
3358 | emovo (temp,y); | |
d730ef29 RK |
3359 | return; |
3360 | } | |
45e574d0 | 3361 | #endif /* IEEE */ |
f76b9db2 ILT |
3362 | } |
3363 | else | |
3364 | { | |
3365 | p = &yy[0] + (NE - 1); | |
3366 | *p-- = *e++; | |
3367 | ++e; | |
3368 | for (i = 0; i < 4; i++) | |
3369 | *p-- = *e++; | |
3370 | } | |
45e574d0 | 3371 | #endif /* not C4X */ |
985b6196 | 3372 | #ifdef INFINITY |
82e974d4 RK |
3373 | /* Point to the exponent field and check max exponent cases. */ |
3374 | p = &yy[NE - 1]; | |
f250a0bc | 3375 | if ((*p & 0x7fff) == 0x7fff) |
985b6196 | 3376 | { |
66b6d60b | 3377 | #ifdef NANS |
8c35bbc5 | 3378 | if (! REAL_WORDS_BIG_ENDIAN) |
66b6d60b | 3379 | { |
f76b9db2 | 3380 | for (i = 0; i < 4; i++) |
66b6d60b | 3381 | { |
82e974d4 RK |
3382 | if ((i != 3 && pe[i] != 0) |
3383 | /* Anything but 0x8000 here, including 0, is a NaN. */ | |
3384 | || (i == 3 && pe[i] != 0x8000)) | |
f76b9db2 ILT |
3385 | { |
3386 | enan (y, (*p & 0x8000) != 0); | |
3387 | return; | |
3388 | } | |
66b6d60b RS |
3389 | } |
3390 | } | |
f76b9db2 | 3391 | else |
66b6d60b | 3392 | { |
f250a0bc RK |
3393 | /* In Motorola extended precision format, the most significant |
3394 | bit of an infinity mantissa could be either 1 or 0. It is | |
3395 | the lower order bits that tell whether the value is a NaN. */ | |
3396 | if ((pe[2] & 0x7fff) != 0) | |
3397 | goto bigend_nan; | |
3398 | ||
3399 | for (i = 3; i <= 5; i++) | |
3400 | { | |
3401 | if (pe[i] != 0) | |
3402 | { | |
3403 | bigend_nan: | |
3404 | enan (y, (*p & 0x8000) != 0); | |
3405 | return; | |
3406 | } | |
3407 | } | |
66b6d60b | 3408 | } |
66b6d60b | 3409 | #endif /* NANS */ |
dca821e1 | 3410 | eclear (y); |
985b6196 RS |
3411 | einfin (y); |
3412 | if (*p & 0x8000) | |
3413 | eneg (y); | |
3414 | return; | |
3415 | } | |
66b6d60b | 3416 | #endif /* INFINITY */ |
82e974d4 RK |
3417 | p = yy; |
3418 | q = y; | |
985b6196 RS |
3419 | for (i = 0; i < NE; i++) |
3420 | *q++ = *p++; | |
3421 | } | |
3422 | ||
23c108af | 3423 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
8c35bbc5 | 3424 | /* Convert 128-bit long double precision float PE to e type Y. */ |
985b6196 | 3425 | |
b6ca239d | 3426 | static void |
842fbaaa | 3427 | e113toe (pe, y) |
0c5d8c82 KG |
3428 | const UEMUSHORT *pe; |
3429 | UEMUSHORT *y; | |
985b6196 | 3430 | { |
45e574d0 | 3431 | ieeetoe (pe, y, &ieee_113); |
842fbaaa | 3432 | } |
45e574d0 | 3433 | #endif /* INTEL_EXTENDED_IEEE_FORMAT == 0 */ |
842fbaaa | 3434 | |
8c35bbc5 | 3435 | /* Convert single precision float PE to e type Y. */ |
a0353055 | 3436 | |
b6ca239d | 3437 | static void |
842fbaaa | 3438 | e24toe (pe, y) |
0c5d8c82 KG |
3439 | const UEMUSHORT *pe; |
3440 | UEMUSHORT *y; | |
842fbaaa JW |
3441 | { |
3442 | #ifdef IBM | |
3443 | ||
3444 | ibmtoe (pe, y, SFmode); | |
3445 | ||
3446 | #else | |
f5963e61 JL |
3447 | |
3448 | #ifdef C4X | |
3449 | ||
3450 | c4xtoe (pe, y, QFmode); | |
3451 | ||
3452 | #else | |
45e574d0 JDA |
3453 | #ifdef DEC |
3454 | ||
3455 | ieeetoe (pe, y, &dec_f); | |
3456 | ||
3457 | #else | |
3458 | ||
3459 | ieeetoe (pe, y, &ieee_24); | |
3460 | ||
3461 | #endif /* not DEC */ | |
3462 | #endif /* not C4X */ | |
3463 | #endif /* not IBM */ | |
3464 | } | |
3465 | ||
3466 | /* Convert machine format float of specified format PE to e type Y. */ | |
f5963e61 | 3467 | |
45e574d0 JDA |
3468 | static void |
3469 | ieeetoe (pe, y, fmt) | |
3470 | const UEMUSHORT *pe; | |
3471 | UEMUSHORT *y; | |
3472 | const struct ieee_format *fmt; | |
3473 | { | |
b3694847 | 3474 | UEMUSHORT r; |
0c5d8c82 KG |
3475 | const UEMUSHORT *e; |
3476 | UEMUSHORT *p; | |
177b41eb | 3477 | UEMUSHORT yy[NI]; |
45e574d0 JDA |
3478 | int denorm, i, k; |
3479 | int shortsm1 = fmt->bits / 16 - 1; | |
3480 | #ifdef INFINITY | |
3481 | int expmask = (1 << fmt->expbits) - 1; | |
3482 | #endif | |
3483 | int expshift = (fmt->precision - 1) & 0x0f; | |
3484 | int highbit = 1 << expshift; | |
3485 | ||
842fbaaa | 3486 | e = pe; |
45e574d0 | 3487 | denorm = 0; |
842fbaaa | 3488 | ecleaz (yy); |
8c35bbc5 | 3489 | if (! REAL_WORDS_BIG_ENDIAN) |
45e574d0 | 3490 | e += shortsm1; |
842fbaaa JW |
3491 | r = *e; |
3492 | yy[0] = 0; | |
3493 | if (r & 0x8000) | |
3494 | yy[0] = 0xffff; | |
45e574d0 JDA |
3495 | yy[M] = (r & (highbit - 1)) | highbit; |
3496 | r = (r & 0x7fff) >> expshift; | |
842fbaaa | 3497 | #ifdef INFINITY |
45e574d0 | 3498 | if (!LARGEST_EXPONENT_IS_NORMAL (fmt->precision) && r == expmask) |
842fbaaa JW |
3499 | { |
3500 | #ifdef NANS | |
45e574d0 JDA |
3501 | /* First check the word where high order mantissa and exponent live */ |
3502 | if ((*e & (highbit - 1)) != 0) | |
3503 | { | |
3504 | enan (y, yy[0] != 0); | |
3505 | return; | |
3506 | } | |
3507 | if (! REAL_WORDS_BIG_ENDIAN) | |
842fbaaa | 3508 | { |
45e574d0 | 3509 | for (i = 0; i < shortsm1; i++) |
f76b9db2 | 3510 | { |
45e574d0 JDA |
3511 | if (pe[i] != 0) |
3512 | { | |
3513 | enan (y, yy[0] != 0); | |
3514 | return; | |
3515 | } | |
f76b9db2 | 3516 | } |
842fbaaa | 3517 | } |
f76b9db2 | 3518 | else |
842fbaaa | 3519 | { |
45e574d0 | 3520 | for (i = 1; i < shortsm1 + 1; i++) |
f76b9db2 | 3521 | { |
45e574d0 JDA |
3522 | if (pe[i] != 0) |
3523 | { | |
3524 | enan (y, yy[0] != 0); | |
3525 | return; | |
3526 | } | |
f76b9db2 | 3527 | } |
842fbaaa | 3528 | } |
45e574d0 | 3529 | #endif /* NANS */ |
842fbaaa JW |
3530 | eclear (y); |
3531 | einfin (y); | |
3532 | if (yy[0]) | |
3533 | eneg (y); | |
3534 | return; | |
3535 | } | |
3536 | #endif /* INFINITY */ | |
842fbaaa | 3537 | /* If zero exponent, then the significand is denormalized. |
0f41302f | 3538 | So take back the understood high significand bit. */ |
842fbaaa JW |
3539 | if (r == 0) |
3540 | { | |
3541 | denorm = 1; | |
45e574d0 | 3542 | yy[M] &= ~highbit; |
842fbaaa | 3543 | } |
45e574d0 | 3544 | r += fmt->adjustment; |
842fbaaa JW |
3545 | yy[E] = r; |
3546 | p = &yy[M + 1]; | |
8c35bbc5 | 3547 | if (! REAL_WORDS_BIG_ENDIAN) |
45e574d0 JDA |
3548 | { |
3549 | for (i = 0; i < shortsm1; i++) | |
3550 | *p++ = *(--e); | |
3551 | } | |
f76b9db2 ILT |
3552 | else |
3553 | { | |
3554 | ++e; | |
45e574d0 JDA |
3555 | for (i = 0; i < shortsm1; i++) |
3556 | *p++ = *e++; | |
f76b9db2 | 3557 | } |
45e574d0 JDA |
3558 | if (fmt->precision == 113) |
3559 | { | |
3560 | /* denorm is left alone in 113 bit format */ | |
3561 | if (!denorm) | |
3562 | eshift (yy, -1); | |
3563 | } | |
3564 | else | |
3565 | { | |
3566 | eshift (yy, -(expshift + 1)); | |
3567 | if (denorm) | |
3568 | { /* if zero exponent, then normalize the significand */ | |
3569 | if ((k = enormlz (yy)) > NBITS) | |
3570 | ecleazs (yy); | |
3571 | else | |
3572 | yy[E] -= (UEMUSHORT) (k - 1); | |
3573 | } | |
985b6196 RS |
3574 | } |
3575 | emovo (yy, y); | |
842fbaaa JW |
3576 | } |
3577 | ||
e6724881 | 3578 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
8c35bbc5 | 3579 | /* Convert e-type X to IEEE 128-bit long double format E. */ |
842fbaaa | 3580 | |
b6ca239d | 3581 | static void |
842fbaaa | 3582 | etoe113 (x, e) |
0c5d8c82 KG |
3583 | const UEMUSHORT *x; |
3584 | UEMUSHORT *e; | |
842fbaaa | 3585 | { |
45e574d0 JDA |
3586 | etoieee (x, e, &ieee_113); |
3587 | } | |
985b6196 | 3588 | |
8c35bbc5 RK |
3589 | /* Convert exploded e-type X, that has already been rounded to |
3590 | 113-bit precision, to IEEE 128-bit long double format Y. */ | |
a0353055 | 3591 | |
b6ca239d | 3592 | static void |
45e574d0 JDA |
3593 | toe113 (x, y) |
3594 | UEMUSHORT *x, *y; | |
842fbaaa | 3595 | { |
45e574d0 | 3596 | toieee (x, y, &ieee_113); |
842fbaaa | 3597 | } |
45e574d0 JDA |
3598 | |
3599 | #endif /* INTEL_EXTENDED_IEEE_FORMAT == 0 */ | |
985b6196 | 3600 | |
8c35bbc5 RK |
3601 | /* Convert e-type X to IEEE double extended format E. */ |
3602 | ||
b6ca239d | 3603 | static void |
985b6196 | 3604 | etoe64 (x, e) |
0c5d8c82 KG |
3605 | const UEMUSHORT *x; |
3606 | UEMUSHORT *e; | |
985b6196 | 3607 | { |
45e574d0 | 3608 | etoieee (x, e, &ieee_64); |
985b6196 RS |
3609 | } |
3610 | ||
8c35bbc5 RK |
3611 | /* Convert exploded e-type X, that has already been rounded to |
3612 | 64-bit precision, to IEEE double extended format Y. */ | |
defb5dab | 3613 | |
b6ca239d | 3614 | static void |
45e574d0 JDA |
3615 | toe64 (x, y) |
3616 | UEMUSHORT *x, *y; | |
985b6196 | 3617 | { |
45e574d0 | 3618 | toieee (x, y, &ieee_64); |
985b6196 RS |
3619 | } |
3620 | ||
8c35bbc5 | 3621 | /* e type to double precision. */ |
985b6196 RS |
3622 | |
3623 | #ifdef DEC | |
8c35bbc5 | 3624 | /* Convert e-type X to DEC-format double E. */ |
985b6196 | 3625 | |
b6ca239d | 3626 | static void |
985b6196 | 3627 | etoe53 (x, e) |
0c5d8c82 KG |
3628 | const UEMUSHORT *x; |
3629 | UEMUSHORT *e; | |
985b6196 | 3630 | { |
45e574d0 | 3631 | etodec (x, e); |
985b6196 RS |
3632 | } |
3633 | ||
8c35bbc5 RK |
3634 | /* Convert exploded e-type X, that has already been rounded to |
3635 | 56-bit double precision, to DEC double Y. */ | |
3636 | ||
b6ca239d | 3637 | static void |
985b6196 | 3638 | toe53 (x, y) |
177b41eb | 3639 | UEMUSHORT *x, *y; |
985b6196 RS |
3640 | { |
3641 | todec (x, y); | |
3642 | } | |
3643 | ||
3644 | #else | |
842fbaaa | 3645 | #ifdef IBM |
8c35bbc5 | 3646 | /* Convert e-type X to IBM 370-format double E. */ |
842fbaaa | 3647 | |
b6ca239d | 3648 | static void |
842fbaaa | 3649 | etoe53 (x, e) |
0c5d8c82 KG |
3650 | const UEMUSHORT *x; |
3651 | UEMUSHORT *e; | |
842fbaaa JW |
3652 | { |
3653 | etoibm (x, e, DFmode); | |
3654 | } | |
3655 | ||
8c35bbc5 RK |
3656 | /* Convert exploded e-type X, that has already been rounded to |
3657 | 56-bit precision, to IBM 370 double Y. */ | |
3658 | ||
b6ca239d | 3659 | static void |
842fbaaa | 3660 | toe53 (x, y) |
177b41eb | 3661 | UEMUSHORT *x, *y; |
842fbaaa JW |
3662 | { |
3663 | toibm (x, y, DFmode); | |
3664 | } | |
3665 | ||
f5963e61 JL |
3666 | #else /* it's neither DEC nor IBM */ |
3667 | #ifdef C4X | |
9ec36da5 | 3668 | /* Convert e-type X to C4X-format long double E. */ |
f5963e61 | 3669 | |
b6ca239d | 3670 | static void |
f5963e61 | 3671 | etoe53 (x, e) |
0c5d8c82 KG |
3672 | const UEMUSHORT *x; |
3673 | UEMUSHORT *e; | |
f5963e61 JL |
3674 | { |
3675 | etoc4x (x, e, HFmode); | |
3676 | } | |
3677 | ||
3678 | /* Convert exploded e-type X, that has already been rounded to | |
3679 | 56-bit precision, to IBM 370 double Y. */ | |
3680 | ||
b6ca239d | 3681 | static void |
f5963e61 | 3682 | toe53 (x, y) |
177b41eb | 3683 | UEMUSHORT *x, *y; |
f5963e61 JL |
3684 | { |
3685 | toc4x (x, y, HFmode); | |
3686 | } | |
3687 | ||
3688 | #else /* it's neither DEC nor IBM nor C4X */ | |
985b6196 | 3689 | |
8c35bbc5 RK |
3690 | /* Convert e-type X to IEEE double E. */ |
3691 | ||
b6ca239d | 3692 | static void |
985b6196 | 3693 | etoe53 (x, e) |
45e574d0 JDA |
3694 | const UEMUSHORT *x; |
3695 | UEMUSHORT *e; | |
985b6196 | 3696 | { |
45e574d0 | 3697 | etoieee (x, e, &ieee_53); |
985b6196 RS |
3698 | } |
3699 | ||
8c35bbc5 RK |
3700 | /* Convert exploded e-type X, that has already been rounded to |
3701 | 53-bit precision, to IEEE double Y. */ | |
985b6196 | 3702 | |
b6ca239d | 3703 | static void |
985b6196 | 3704 | toe53 (x, y) |
177b41eb | 3705 | UEMUSHORT *x, *y; |
985b6196 | 3706 | { |
45e574d0 | 3707 | toieee (x, y, &ieee_53); |
985b6196 RS |
3708 | } |
3709 | ||
f5963e61 | 3710 | #endif /* not C4X */ |
842fbaaa | 3711 | #endif /* not IBM */ |
985b6196 RS |
3712 | #endif /* not DEC */ |
3713 | ||
3714 | ||
3715 | ||
8c35bbc5 | 3716 | /* e type to single precision. */ |
defb5dab | 3717 | |
842fbaaa | 3718 | #ifdef IBM |
8c35bbc5 | 3719 | /* Convert e-type X to IBM 370 float E. */ |
842fbaaa | 3720 | |
b6ca239d | 3721 | static void |
842fbaaa | 3722 | etoe24 (x, e) |
0c5d8c82 KG |
3723 | const UEMUSHORT *x; |
3724 | UEMUSHORT *e; | |
842fbaaa JW |
3725 | { |
3726 | etoibm (x, e, SFmode); | |
3727 | } | |
3728 | ||
8c35bbc5 RK |
3729 | /* Convert exploded e-type X, that has already been rounded to |
3730 | float precision, to IBM 370 float Y. */ | |
3731 | ||
b6ca239d | 3732 | static void |
842fbaaa | 3733 | toe24 (x, y) |
177b41eb | 3734 | UEMUSHORT *x, *y; |
842fbaaa JW |
3735 | { |
3736 | toibm (x, y, SFmode); | |
3737 | } | |
3738 | ||
45e574d0 | 3739 | #else /* it's not IBM */ |
f5963e61 JL |
3740 | |
3741 | #ifdef C4X | |
3742 | /* Convert e-type X to C4X float E. */ | |
3743 | ||
b6ca239d | 3744 | static void |
f5963e61 | 3745 | etoe24 (x, e) |
0c5d8c82 KG |
3746 | const UEMUSHORT *x; |
3747 | UEMUSHORT *e; | |
f5963e61 JL |
3748 | { |
3749 | etoc4x (x, e, QFmode); | |
3750 | } | |
3751 | ||
3752 | /* Convert exploded e-type X, that has already been rounded to | |
3753 | float precision, to IBM 370 float Y. */ | |
3754 | ||
b6ca239d | 3755 | static void |
f5963e61 | 3756 | toe24 (x, y) |
177b41eb | 3757 | UEMUSHORT *x, *y; |
f5963e61 JL |
3758 | { |
3759 | toc4x (x, y, QFmode); | |
3760 | } | |
3761 | ||
45e574d0 JDA |
3762 | #else /* it's neither IBM nor C4X */ |
3763 | ||
3764 | #ifdef DEC | |
3765 | ||
3766 | /* Convert e-type X to DEC F-float E. */ | |
3767 | ||
3768 | static void | |
3769 | etoe24 (x, e) | |
3770 | const UEMUSHORT *x; | |
3771 | UEMUSHORT *e; | |
3772 | { | |
3773 | etoieee (x, e, &dec_f); | |
3774 | } | |
3775 | ||
3776 | /* Convert exploded e-type X, that has already been rounded to | |
3777 | float precision, to DEC F-float Y. */ | |
3778 | ||
3779 | static void | |
3780 | toe24 (x, y) | |
3781 | UEMUSHORT *x, *y; | |
3782 | { | |
3783 | toieee (x, y, &dec_f); | |
3784 | } | |
3785 | ||
f5963e61 JL |
3786 | #else |
3787 | ||
45e574d0 | 3788 | /* Convert e-type X to IEEE float E. */ |
842fbaaa | 3789 | |
b6ca239d | 3790 | static void |
985b6196 | 3791 | etoe24 (x, e) |
45e574d0 JDA |
3792 | const UEMUSHORT *x; |
3793 | UEMUSHORT *e; | |
3794 | { | |
3795 | etoieee (x, e, &ieee_24); | |
3796 | } | |
3797 | ||
3798 | /* Convert exploded e-type X, that has already been rounded to | |
3799 | float precision, to IEEE float Y. */ | |
3800 | ||
3801 | static void | |
3802 | toe24 (x, y) | |
3803 | UEMUSHORT *x, *y; | |
3804 | { | |
3805 | toieee (x, y, &ieee_24); | |
3806 | } | |
3807 | ||
3808 | #endif /* not DEC */ | |
3809 | #endif /* not C4X */ | |
3810 | #endif /* not IBM */ | |
3811 | ||
3812 | ||
3813 | /* Convert e-type X to the IEEE format described by FMT. */ | |
3814 | ||
3815 | static void | |
3816 | etoieee (x, e, fmt) | |
3817 | const UEMUSHORT *x; | |
3818 | UEMUSHORT *e; | |
3819 | const struct ieee_format *fmt; | |
985b6196 | 3820 | { |
177b41eb | 3821 | UEMUSHORT xi[NI]; |
45e574d0 | 3822 | EMULONG exp; |
985b6196 RS |
3823 | int rndsav; |
3824 | ||
66b6d60b RS |
3825 | #ifdef NANS |
3826 | if (eisnan (x)) | |
3827 | { | |
45e574d0 | 3828 | make_nan (e, eisneg (x), fmt->mode); |
66b6d60b RS |
3829 | return; |
3830 | } | |
3831 | #endif | |
45e574d0 | 3832 | |
985b6196 | 3833 | emovi (x, xi); |
45e574d0 | 3834 | |
985b6196 RS |
3835 | #ifdef INFINITY |
3836 | if (eisinf (x)) | |
3837 | goto nonorm; | |
3838 | #endif | |
45e574d0 JDA |
3839 | /* Adjust exponent for offset. */ |
3840 | exp = (EMULONG) xi[E] - fmt->adjustment; | |
3841 | ||
3842 | /* Round off to nearest or even. */ | |
985b6196 | 3843 | rndsav = rndprc; |
45e574d0 | 3844 | rndprc = fmt->precision; |
3fcaac1d | 3845 | emdnorm (xi, 0, 0, exp, !ROUND_TOWARDS_ZERO); |
985b6196 | 3846 | rndprc = rndsav; |
b42b4d2c | 3847 | #ifdef INFINITY |
985b6196 | 3848 | nonorm: |
b42b4d2c | 3849 | #endif |
45e574d0 | 3850 | toieee (xi, e, fmt); |
985b6196 RS |
3851 | } |
3852 | ||
8c35bbc5 | 3853 | /* Convert exploded e-type X, that has already been rounded to |
45e574d0 | 3854 | the necessary precision, to the IEEE format described by FMT. */ |
8c35bbc5 | 3855 | |
b6ca239d | 3856 | static void |
45e574d0 JDA |
3857 | toieee (x, y, fmt) |
3858 | UEMUSHORT *x, *y; | |
3859 | const struct ieee_format *fmt; | |
985b6196 | 3860 | { |
45e574d0 JDA |
3861 | UEMUSHORT maxexp; |
3862 | UEMUSHORT *q; | |
3863 | int words; | |
3864 | int i; | |
985b6196 | 3865 | |
45e574d0 JDA |
3866 | maxexp = (1 << fmt->expbits) - 1; |
3867 | words = (fmt->bits - fmt->expbits) / EMUSHORT_SIZE; | |
3868 | ||
66b6d60b RS |
3869 | #ifdef NANS |
3870 | if (eiisnan (x)) | |
3871 | { | |
45e574d0 | 3872 | make_nan (y, eiisneg (x), fmt->mode); |
66b6d60b RS |
3873 | return; |
3874 | } | |
3875 | #endif | |
45e574d0 JDA |
3876 | |
3877 | if (fmt->expbits < 15 | |
3878 | && LARGEST_EXPONENT_IS_NORMAL (fmt->bits) | |
3879 | && x[E] > maxexp) | |
3fcaac1d | 3880 | { |
45e574d0 | 3881 | saturate (y, eiisneg (x), fmt->bits, 1); |
3fcaac1d RS |
3882 | return; |
3883 | } | |
985b6196 | 3884 | |
45e574d0 JDA |
3885 | /* Point to the exponent. */ |
3886 | if (REAL_WORDS_BIG_ENDIAN) | |
3887 | q = y; | |
3888 | else | |
3889 | q = y + words; | |
3890 | ||
3891 | /* Copy the sign. */ | |
3892 | if (x[0]) | |
3893 | *q = 0x8000; | |
3894 | else | |
3895 | *q = 0; | |
3896 | ||
3897 | if (fmt->expbits < 15 | |
3898 | && !LARGEST_EXPONENT_IS_NORMAL (fmt->bits) | |
3899 | && x[E] >= maxexp) | |
64685ffa | 3900 | { |
45e574d0 JDA |
3901 | /* Saturate at largest number less that infinity. */ |
3902 | UEMUSHORT fill; | |
985b6196 | 3903 | #ifdef INFINITY |
45e574d0 JDA |
3904 | *q |= maxexp << (15 - fmt->expbits); |
3905 | fill = 0; | |
3906 | #else | |
3907 | *q |= (maxexp << (15 - fmt->expbits)) - 1; | |
3908 | fill = 0xffff; | |
985b6196 | 3909 | #endif |
45e574d0 JDA |
3910 | |
3911 | if (!REAL_WORDS_BIG_ENDIAN) | |
f76b9db2 | 3912 | { |
45e574d0 JDA |
3913 | for (i = 0; i < words; i++) |
3914 | *(--q) = fill; | |
f76b9db2 | 3915 | } |
f76b9db2 ILT |
3916 | else |
3917 | { | |
45e574d0 JDA |
3918 | for (i = 0; i < words; i++) |
3919 | *(++q) = fill; | |
f76b9db2 | 3920 | } |
45e574d0 | 3921 | #if defined(INFINITY) && defined(ERANGE) |
64685ffa | 3922 | errno = ERANGE; |
985b6196 RS |
3923 | #endif |
3924 | return; | |
3925 | } | |
45e574d0 JDA |
3926 | |
3927 | /* If denormal and DEC float, return zero (DEC has no denormals) */ | |
3928 | #ifdef DEC | |
3929 | if (x[E] == 0) | |
3930 | { | |
3931 | for (i = 0; i < fmt->bits / EMUSHORT_SIZE ; i++) | |
3932 | q[i] = 0; | |
3933 | return; | |
3934 | } | |
3935 | #endif /* DEC */ | |
3936 | ||
3937 | /* Delete the implied bit unless denormal, except for | |
3938 | 64-bit precision. */ | |
3939 | if (fmt->precision != 64 && x[E] != 0) | |
985b6196 | 3940 | { |
45e574d0 JDA |
3941 | eshup1 (x); |
3942 | } | |
3943 | ||
3944 | /* Shift denormal double extended Intel format significand down | |
4b7e68e7 | 3945 | one bit. */ |
45e574d0 JDA |
3946 | if (fmt->precision == 64 && x[E] == 0 && ! REAL_WORDS_BIG_ENDIAN) |
3947 | eshdn1 (x); | |
3948 | ||
3949 | if (fmt->expbits < 15) | |
3950 | { | |
3951 | /* Shift the significand. */ | |
3952 | eshift (x, 15 - fmt->expbits); | |
3953 | ||
3954 | /* Combine the exponent and upper bits of the significand. */ | |
3955 | *q |= x[E] << (15 - fmt->expbits); | |
3956 | *q |= x[M] & (UEMUSHORT) ~((maxexp << (15 - fmt->expbits)) | 0x8000); | |
985b6196 RS |
3957 | } |
3958 | else | |
3959 | { | |
45e574d0 JDA |
3960 | /* Copy the exponent. */ |
3961 | *q |= x[E]; | |
3962 | } | |
3963 | ||
3964 | /* Add padding after the exponent. At the moment, this is only necessary for | |
3965 | 64-bit precision; in this case, the padding is 16 bits. */ | |
3966 | if (fmt->precision == 64) | |
3967 | { | |
3968 | *(q + 1) = 0; | |
3969 | ||
3970 | /* Skip padding. */ | |
3971 | if (REAL_WORDS_BIG_ENDIAN) | |
3972 | ++q; | |
3973 | } | |
3974 | ||
3975 | /* Copy the significand. */ | |
3976 | if (REAL_WORDS_BIG_ENDIAN) | |
3977 | { | |
3978 | for (i = 0; i < words; i++) | |
3979 | *(++q) = x[i + M + 1]; | |
3980 | } | |
3981 | #ifdef INFINITY | |
3982 | else if (fmt->precision == 64 && eiisinf (x)) | |
3983 | { | |
3984 | /* Intel double extended infinity significand. */ | |
3985 | *(--q) = 0x8000; | |
3986 | *(--q) = 0; | |
3987 | *(--q) = 0; | |
3988 | *(--q) = 0; | |
985b6196 | 3989 | } |
985b6196 | 3990 | #endif |
f76b9db2 ILT |
3991 | else |
3992 | { | |
45e574d0 JDA |
3993 | for (i = 0; i < words; i++) |
3994 | *(--q) = x[i + M + 1]; | |
f76b9db2 | 3995 | } |
985b6196 | 3996 | } |
45e574d0 | 3997 | |
985b6196 | 3998 | |
b6ca239d | 3999 | /* Compare two e type numbers. |
defb5dab RK |
4000 | Return +1 if a > b |
4001 | 0 if a == b | |
4002 | -1 if a < b | |
4003 | -2 if either a or b is a NaN. */ | |
a0353055 | 4004 | |
b6ca239d | 4005 | static int |
985b6196 | 4006 | ecmp (a, b) |
0c5d8c82 | 4007 | const UEMUSHORT *a, *b; |
985b6196 | 4008 | { |
177b41eb | 4009 | UEMUSHORT ai[NI], bi[NI]; |
b3694847 SS |
4010 | UEMUSHORT *p, *q; |
4011 | int i; | |
985b6196 RS |
4012 | int msign; |
4013 | ||
66b6d60b RS |
4014 | #ifdef NANS |
4015 | if (eisnan (a) || eisnan (b)) | |
4016 | return (-2); | |
4017 | #endif | |
985b6196 RS |
4018 | emovi (a, ai); |
4019 | p = ai; | |
4020 | emovi (b, bi); | |
4021 | q = bi; | |
4022 | ||
4023 | if (*p != *q) | |
4024 | { /* the signs are different */ | |
4025 | /* -0 equals + 0 */ | |
4026 | for (i = 1; i < NI - 1; i++) | |
4027 | { | |
4028 | if (ai[i] != 0) | |
4029 | goto nzro; | |
4030 | if (bi[i] != 0) | |
4031 | goto nzro; | |
4032 | } | |
4033 | return (0); | |
4034 | nzro: | |
4035 | if (*p == 0) | |
4036 | return (1); | |
4037 | else | |
4038 | return (-1); | |
4039 | } | |
4040 | /* both are the same sign */ | |
4041 | if (*p == 0) | |
4042 | msign = 1; | |
4043 | else | |
4044 | msign = -1; | |
4045 | i = NI - 1; | |
4046 | do | |
4047 | { | |
4048 | if (*p++ != *q++) | |
4049 | { | |
4050 | goto diff; | |
4051 | } | |
4052 | } | |
4053 | while (--i > 0); | |
4054 | ||
4055 | return (0); /* equality */ | |
4056 | ||
985b6196 RS |
4057 | diff: |
4058 | ||
4059 | if (*(--p) > *(--q)) | |
4060 | return (msign); /* p is bigger */ | |
4061 | else | |
4062 | return (-msign); /* p is littler */ | |
4063 | } | |
4064 | ||
7a87758d | 4065 | #if 0 |
8c35bbc5 | 4066 | /* Find e-type nearest integer to X, as floor (X + 0.5). */ |
a0353055 | 4067 | |
b6ca239d | 4068 | static void |
985b6196 | 4069 | eround (x, y) |
0c5d8c82 KG |
4070 | const UEMUSHORT *x; |
4071 | UEMUSHORT *y; | |
985b6196 RS |
4072 | { |
4073 | eadd (ehalf, x, y); | |
4074 | efloor (y, y); | |
4075 | } | |
7a87758d | 4076 | #endif /* 0 */ |
985b6196 | 4077 | |
8c35bbc5 | 4078 | /* Convert HOST_WIDE_INT LP to e type Y. */ |
a0353055 | 4079 | |
b6ca239d | 4080 | static void |
985b6196 | 4081 | ltoe (lp, y) |
0c5d8c82 | 4082 | const HOST_WIDE_INT *lp; |
177b41eb | 4083 | UEMUSHORT *y; |
985b6196 | 4084 | { |
177b41eb | 4085 | UEMUSHORT yi[NI]; |
b51ab098 | 4086 | unsigned HOST_WIDE_INT ll; |
985b6196 RS |
4087 | int k; |
4088 | ||
4089 | ecleaz (yi); | |
4090 | if (*lp < 0) | |
4091 | { | |
4092 | /* make it positive */ | |
b51ab098 | 4093 | ll = (unsigned HOST_WIDE_INT) (-(*lp)); |
985b6196 RS |
4094 | yi[0] = 0xffff; /* put correct sign in the e type number */ |
4095 | } | |
4096 | else | |
4097 | { | |
b51ab098 | 4098 | ll = (unsigned HOST_WIDE_INT) (*lp); |
985b6196 RS |
4099 | } |
4100 | /* move the long integer to yi significand area */ | |
b51ab098 | 4101 | #if HOST_BITS_PER_WIDE_INT == 64 |
177b41eb RL |
4102 | yi[M] = (UEMUSHORT) (ll >> 48); |
4103 | yi[M + 1] = (UEMUSHORT) (ll >> 32); | |
4104 | yi[M + 2] = (UEMUSHORT) (ll >> 16); | |
4105 | yi[M + 3] = (UEMUSHORT) ll; | |
7729f1ca RS |
4106 | yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */ |
4107 | #else | |
177b41eb RL |
4108 | yi[M] = (UEMUSHORT) (ll >> 16); |
4109 | yi[M + 1] = (UEMUSHORT) ll; | |
985b6196 | 4110 | yi[E] = EXONE + 15; /* exponent if normalize shift count were 0 */ |
7729f1ca RS |
4111 | #endif |
4112 | ||
985b6196 RS |
4113 | if ((k = enormlz (yi)) > NBITS)/* normalize the significand */ |
4114 | ecleaz (yi); /* it was zero */ | |
4115 | else | |
177b41eb | 4116 | yi[E] -= (UEMUSHORT) k;/* subtract shift count from exponent */ |
985b6196 RS |
4117 | emovo (yi, y); /* output the answer */ |
4118 | } | |
4119 | ||
8c35bbc5 | 4120 | /* Convert unsigned HOST_WIDE_INT LP to e type Y. */ |
a0353055 | 4121 | |
b6ca239d | 4122 | static void |
985b6196 | 4123 | ultoe (lp, y) |
0c5d8c82 | 4124 | const unsigned HOST_WIDE_INT *lp; |
177b41eb | 4125 | UEMUSHORT *y; |
985b6196 | 4126 | { |
177b41eb | 4127 | UEMUSHORT yi[NI]; |
b51ab098 | 4128 | unsigned HOST_WIDE_INT ll; |
985b6196 RS |
4129 | int k; |
4130 | ||
4131 | ecleaz (yi); | |
4132 | ll = *lp; | |
4133 | ||
4134 | /* move the long integer to ayi significand area */ | |
b51ab098 | 4135 | #if HOST_BITS_PER_WIDE_INT == 64 |
177b41eb RL |
4136 | yi[M] = (UEMUSHORT) (ll >> 48); |
4137 | yi[M + 1] = (UEMUSHORT) (ll >> 32); | |
4138 | yi[M + 2] = (UEMUSHORT) (ll >> 16); | |
4139 | yi[M + 3] = (UEMUSHORT) ll; | |
7729f1ca RS |
4140 | yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */ |
4141 | #else | |
177b41eb RL |
4142 | yi[M] = (UEMUSHORT) (ll >> 16); |
4143 | yi[M + 1] = (UEMUSHORT) ll; | |
985b6196 | 4144 | yi[E] = EXONE + 15; /* exponent if normalize shift count were 0 */ |
7729f1ca RS |
4145 | #endif |
4146 | ||
985b6196 RS |
4147 | if ((k = enormlz (yi)) > NBITS)/* normalize the significand */ |
4148 | ecleaz (yi); /* it was zero */ | |
4149 | else | |
177b41eb | 4150 | yi[E] -= (UEMUSHORT) k; /* subtract shift count from exponent */ |
985b6196 RS |
4151 | emovo (yi, y); /* output the answer */ |
4152 | } | |
4153 | ||
4154 | ||
8c35bbc5 RK |
4155 | /* Find signed HOST_WIDE_INT integer I and floating point fractional |
4156 | part FRAC of e-type (packed internal format) floating point input X. | |
c764eafd RK |
4157 | The integer output I has the sign of the input, except that |
4158 | positive overflow is permitted if FIXUNS_TRUNC_LIKE_FIX_TRUNC. | |
4159 | The output e-type fraction FRAC is the positive fractional | |
4160 | part of abs (X). */ | |
985b6196 | 4161 | |
b6ca239d | 4162 | static void |
985b6196 | 4163 | eifrac (x, i, frac) |
0c5d8c82 | 4164 | const UEMUSHORT *x; |
b51ab098 | 4165 | HOST_WIDE_INT *i; |
177b41eb | 4166 | UEMUSHORT *frac; |
985b6196 | 4167 | { |
177b41eb | 4168 | UEMUSHORT xi[NI]; |
7729f1ca | 4169 | int j, k; |
b51ab098 | 4170 | unsigned HOST_WIDE_INT ll; |
985b6196 RS |
4171 | |
4172 | emovi (x, xi); | |
4173 | k = (int) xi[E] - (EXONE - 1); | |
4174 | if (k <= 0) | |
4175 | { | |
4176 | /* if exponent <= 0, integer = 0 and real output is fraction */ | |
4177 | *i = 0L; | |
4178 | emovo (xi, frac); | |
4179 | return; | |
4180 | } | |
b51ab098 | 4181 | if (k > (HOST_BITS_PER_WIDE_INT - 1)) |
985b6196 | 4182 | { |
7729f1ca RS |
4183 | /* long integer overflow: output large integer |
4184 | and correct fraction */ | |
985b6196 | 4185 | if (xi[0]) |
b51ab098 | 4186 | *i = ((unsigned HOST_WIDE_INT) 1) << (HOST_BITS_PER_WIDE_INT - 1); |
985b6196 | 4187 | else |
c764eafd RK |
4188 | { |
4189 | #ifdef FIXUNS_TRUNC_LIKE_FIX_TRUNC | |
4190 | /* In this case, let it overflow and convert as if unsigned. */ | |
4191 | euifrac (x, &ll, frac); | |
4192 | *i = (HOST_WIDE_INT) ll; | |
4193 | return; | |
4194 | #else | |
4195 | /* In other cases, return the largest positive integer. */ | |
4196 | *i = (((unsigned HOST_WIDE_INT) 1) << (HOST_BITS_PER_WIDE_INT - 1)) - 1; | |
4197 | #endif | |
4198 | } | |
64685ffa RS |
4199 | eshift (xi, k); |
4200 | if (extra_warnings) | |
4201 | warning ("overflow on truncation to integer"); | |
985b6196 | 4202 | } |
7729f1ca | 4203 | else if (k > 16) |
985b6196 | 4204 | { |
7729f1ca RS |
4205 | /* Shift more than 16 bits: first shift up k-16 mod 16, |
4206 | then shift up by 16's. */ | |
4207 | j = k - ((k >> 4) << 4); | |
4208 | eshift (xi, j); | |
4209 | ll = xi[M]; | |
4210 | k -= j; | |
4211 | do | |
4212 | { | |
4213 | eshup6 (xi); | |
4214 | ll = (ll << 16) | xi[M]; | |
4215 | } | |
4216 | while ((k -= 16) > 0); | |
4217 | *i = ll; | |
4218 | if (xi[0]) | |
4219 | *i = -(*i); | |
4220 | } | |
4221 | else | |
a6a2274a KH |
4222 | { |
4223 | /* shift not more than 16 bits */ | |
4224 | eshift (xi, k); | |
4225 | *i = (HOST_WIDE_INT) xi[M] & 0xffff; | |
4226 | if (xi[0]) | |
4227 | *i = -(*i); | |
4228 | } | |
985b6196 RS |
4229 | xi[0] = 0; |
4230 | xi[E] = EXONE - 1; | |
4231 | xi[M] = 0; | |
4232 | if ((k = enormlz (xi)) > NBITS) | |
4233 | ecleaz (xi); | |
4234 | else | |
177b41eb | 4235 | xi[E] -= (UEMUSHORT) k; |
985b6196 RS |
4236 | |
4237 | emovo (xi, frac); | |
4238 | } | |
4239 | ||
4240 | ||
8c35bbc5 RK |
4241 | /* Find unsigned HOST_WIDE_INT integer I and floating point fractional part |
4242 | FRAC of e-type X. A negative input yields integer output = 0 but | |
4243 | correct fraction. */ | |
985b6196 | 4244 | |
b6ca239d | 4245 | static void |
985b6196 | 4246 | euifrac (x, i, frac) |
0c5d8c82 | 4247 | const UEMUSHORT *x; |
b51ab098 | 4248 | unsigned HOST_WIDE_INT *i; |
177b41eb | 4249 | UEMUSHORT *frac; |
985b6196 | 4250 | { |
b51ab098 | 4251 | unsigned HOST_WIDE_INT ll; |
177b41eb | 4252 | UEMUSHORT xi[NI]; |
7729f1ca | 4253 | int j, k; |
985b6196 RS |
4254 | |
4255 | emovi (x, xi); | |
4256 | k = (int) xi[E] - (EXONE - 1); | |
4257 | if (k <= 0) | |
4258 | { | |
4259 | /* if exponent <= 0, integer = 0 and argument is fraction */ | |
4260 | *i = 0L; | |
4261 | emovo (xi, frac); | |
4262 | return; | |
4263 | } | |
b51ab098 | 4264 | if (k > HOST_BITS_PER_WIDE_INT) |
985b6196 | 4265 | { |
7729f1ca RS |
4266 | /* Long integer overflow: output large integer |
4267 | and correct fraction. | |
8aeea6e6 | 4268 | Note, the BSD MicroVAX compiler says that ~(0UL) |
7729f1ca | 4269 | is a syntax error. */ |
985b6196 | 4270 | *i = ~(0L); |
64685ffa RS |
4271 | eshift (xi, k); |
4272 | if (extra_warnings) | |
4273 | warning ("overflow on truncation to unsigned integer"); | |
985b6196 | 4274 | } |
7729f1ca | 4275 | else if (k > 16) |
985b6196 | 4276 | { |
7729f1ca RS |
4277 | /* Shift more than 16 bits: first shift up k-16 mod 16, |
4278 | then shift up by 16's. */ | |
4279 | j = k - ((k >> 4) << 4); | |
4280 | eshift (xi, j); | |
4281 | ll = xi[M]; | |
4282 | k -= j; | |
4283 | do | |
4284 | { | |
4285 | eshup6 (xi); | |
4286 | ll = (ll << 16) | xi[M]; | |
4287 | } | |
4288 | while ((k -= 16) > 0); | |
4289 | *i = ll; | |
4290 | } | |
4291 | else | |
4292 | { | |
4293 | /* shift not more than 16 bits */ | |
64685ffa | 4294 | eshift (xi, k); |
b51ab098 | 4295 | *i = (HOST_WIDE_INT) xi[M] & 0xffff; |
985b6196 RS |
4296 | } |
4297 | ||
0f41302f | 4298 | if (xi[0]) /* A negative value yields unsigned integer 0. */ |
985b6196 | 4299 | *i = 0L; |
842fbaaa | 4300 | |
985b6196 RS |
4301 | xi[0] = 0; |
4302 | xi[E] = EXONE - 1; | |
4303 | xi[M] = 0; | |
4304 | if ((k = enormlz (xi)) > NBITS) | |
4305 | ecleaz (xi); | |
4306 | else | |
177b41eb | 4307 | xi[E] -= (UEMUSHORT) k; |
985b6196 RS |
4308 | |
4309 | emovo (xi, frac); | |
4310 | } | |
4311 | ||
8c35bbc5 | 4312 | /* Shift the significand of exploded e-type X up or down by SC bits. */ |
a0353055 | 4313 | |
b6ca239d | 4314 | static int |
985b6196 | 4315 | eshift (x, sc) |
177b41eb | 4316 | UEMUSHORT *x; |
985b6196 RS |
4317 | int sc; |
4318 | { | |
177b41eb RL |
4319 | UEMUSHORT lost; |
4320 | UEMUSHORT *p; | |
985b6196 RS |
4321 | |
4322 | if (sc == 0) | |
4323 | return (0); | |
4324 | ||
4325 | lost = 0; | |
4326 | p = x + NI - 1; | |
4327 | ||
4328 | if (sc < 0) | |
4329 | { | |
4330 | sc = -sc; | |
4331 | while (sc >= 16) | |
4332 | { | |
4333 | lost |= *p; /* remember lost bits */ | |
4334 | eshdn6 (x); | |
4335 | sc -= 16; | |
4336 | } | |
4337 | ||
4338 | while (sc >= 8) | |
4339 | { | |
4340 | lost |= *p & 0xff; | |
4341 | eshdn8 (x); | |
4342 | sc -= 8; | |
4343 | } | |
4344 | ||
4345 | while (sc > 0) | |
4346 | { | |
4347 | lost |= *p & 1; | |
4348 | eshdn1 (x); | |
4349 | sc -= 1; | |
4350 | } | |
4351 | } | |
4352 | else | |
4353 | { | |
4354 | while (sc >= 16) | |
4355 | { | |
4356 | eshup6 (x); | |
4357 | sc -= 16; | |
4358 | } | |
4359 | ||
4360 | while (sc >= 8) | |
4361 | { | |
4362 | eshup8 (x); | |
4363 | sc -= 8; | |
4364 | } | |
4365 | ||
4366 | while (sc > 0) | |
4367 | { | |
4368 | eshup1 (x); | |
4369 | sc -= 1; | |
4370 | } | |
4371 | } | |
4372 | if (lost) | |
4373 | lost = 1; | |
4374 | return ((int) lost); | |
4375 | } | |
4376 | ||
8c35bbc5 RK |
4377 | /* Shift normalize the significand area of exploded e-type X. |
4378 | Return the shift count (up = positive). */ | |
a0353055 | 4379 | |
b6ca239d | 4380 | static int |
985b6196 | 4381 | enormlz (x) |
177b41eb | 4382 | UEMUSHORT x[]; |
985b6196 | 4383 | { |
b3694847 | 4384 | UEMUSHORT *p; |
985b6196 RS |
4385 | int sc; |
4386 | ||
4387 | sc = 0; | |
4388 | p = &x[M]; | |
4389 | if (*p != 0) | |
4390 | goto normdn; | |
4391 | ++p; | |
4392 | if (*p & 0x8000) | |
4393 | return (0); /* already normalized */ | |
4394 | while (*p == 0) | |
4395 | { | |
4396 | eshup6 (x); | |
4397 | sc += 16; | |
defb5dab | 4398 | |
985b6196 | 4399 | /* With guard word, there are NBITS+16 bits available. |
defb5dab | 4400 | Return true if all are zero. */ |
985b6196 RS |
4401 | if (sc > NBITS) |
4402 | return (sc); | |
4403 | } | |
4404 | /* see if high byte is zero */ | |
4405 | while ((*p & 0xff00) == 0) | |
4406 | { | |
4407 | eshup8 (x); | |
4408 | sc += 8; | |
4409 | } | |
4410 | /* now shift 1 bit at a time */ | |
4411 | while ((*p & 0x8000) == 0) | |
4412 | { | |
4413 | eshup1 (x); | |
4414 | sc += 1; | |
4415 | if (sc > NBITS) | |
4416 | { | |
4417 | mtherr ("enormlz", UNDERFLOW); | |
4418 | return (sc); | |
4419 | } | |
4420 | } | |
4421 | return (sc); | |
4422 | ||
4423 | /* Normalize by shifting down out of the high guard word | |
4424 | of the significand */ | |
4425 | normdn: | |
4426 | ||
4427 | if (*p & 0xff00) | |
4428 | { | |
4429 | eshdn8 (x); | |
4430 | sc -= 8; | |
4431 | } | |
4432 | while (*p != 0) | |
4433 | { | |
4434 | eshdn1 (x); | |
4435 | sc -= 1; | |
4436 | ||
4437 | if (sc < -NBITS) | |
4438 | { | |
4439 | mtherr ("enormlz", OVERFLOW); | |
4440 | return (sc); | |
4441 | } | |
4442 | } | |
4443 | return (sc); | |
4444 | } | |
4445 | ||
8c35bbc5 | 4446 | /* Powers of ten used in decimal <-> binary conversions. */ |
985b6196 RS |
4447 | |
4448 | #define NTEN 12 | |
4449 | #define MAXP 4096 | |
4450 | ||
23c108af | 4451 | #if MAX_LONG_DOUBLE_TYPE_SIZE == 128 && (INTEL_EXTENDED_IEEE_FORMAT == 0) |
0c5d8c82 | 4452 | static const UEMUSHORT etens[NTEN + 1][NE] = |
842fbaaa JW |
4453 | { |
4454 | {0x6576, 0x4a92, 0x804a, 0x153f, | |
4455 | 0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */ | |
4456 | {0x6a32, 0xce52, 0x329a, 0x28ce, | |
4457 | 0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */ | |
4458 | {0x526c, 0x50ce, 0xf18b, 0x3d28, | |
4459 | 0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,}, | |
4460 | {0x9c66, 0x58f8, 0xbc50, 0x5c54, | |
4461 | 0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,}, | |
4462 | {0x851e, 0xeab7, 0x98fe, 0x901b, | |
4463 | 0xddbb, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,}, | |
4464 | {0x0235, 0x0137, 0x36b1, 0x336c, | |
4465 | 0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,}, | |
4466 | {0x50f8, 0x25fb, 0xc76b, 0x6b71, | |
4467 | 0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,}, | |
4468 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4469 | 0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,}, | |
4470 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4471 | 0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,}, | |
4472 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4473 | 0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,}, | |
4474 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4475 | 0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,}, | |
4476 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4477 | 0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,}, | |
4478 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4479 | 0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */ | |
4480 | }; | |
4481 | ||
0c5d8c82 | 4482 | static const UEMUSHORT emtens[NTEN + 1][NE] = |
842fbaaa JW |
4483 | { |
4484 | {0x2030, 0xcffc, 0xa1c3, 0x8123, | |
4485 | 0x2de3, 0x9fde, 0xd2ce, 0x04c8, 0xa6dd, 0x0ad8,}, /* 10**-4096 */ | |
4486 | {0x8264, 0xd2cb, 0xf2ea, 0x12d4, | |
4487 | 0x4925, 0x2de4, 0x3436, 0x534f, 0xceae, 0x256b,}, /* 10**-2048 */ | |
4488 | {0xf53f, 0xf698, 0x6bd3, 0x0158, | |
4489 | 0x87a6, 0xc0bd, 0xda57, 0x82a5, 0xa2a6, 0x32b5,}, | |
4490 | {0xe731, 0x04d4, 0xe3f2, 0xd332, | |
4491 | 0x7132, 0xd21c, 0xdb23, 0xee32, 0x9049, 0x395a,}, | |
4492 | {0xa23e, 0x5308, 0xfefb, 0x1155, | |
4493 | 0xfa91, 0x1939, 0x637a, 0x4325, 0xc031, 0x3cac,}, | |
4494 | {0xe26d, 0xdbde, 0xd05d, 0xb3f6, | |
4495 | 0xac7c, 0xe4a0, 0x64bc, 0x467c, 0xddd0, 0x3e55,}, | |
4496 | {0x2a20, 0x6224, 0x47b3, 0x98d7, | |
4497 | 0x3f23, 0xe9a5, 0xa539, 0xea27, 0xa87f, 0x3f2a,}, | |
4498 | {0x0b5b, 0x4af2, 0xa581, 0x18ed, | |
4499 | 0x67de, 0x94ba, 0x4539, 0x1ead, 0xcfb1, 0x3f94,}, | |
4500 | {0xbf71, 0xa9b3, 0x7989, 0xbe68, | |
4501 | 0x4c2e, 0xe15b, 0xc44d, 0x94be, 0xe695, 0x3fc9,}, | |
4502 | {0x3d4d, 0x7c3d, 0x36ba, 0x0d2b, | |
4503 | 0xfdc2, 0xcefc, 0x8461, 0x7711, 0xabcc, 0x3fe4,}, | |
4504 | {0xc155, 0xa4a8, 0x404e, 0x6113, | |
4505 | 0xd3c3, 0x652b, 0xe219, 0x1758, 0xd1b7, 0x3ff1,}, | |
4506 | {0xd70a, 0x70a3, 0x0a3d, 0xa3d7, | |
4507 | 0x3d70, 0xd70a, 0x70a3, 0x0a3d, 0xa3d7, 0x3ff8,}, | |
4508 | {0xcccd, 0xcccc, 0xcccc, 0xcccc, | |
4509 | 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0x3ffb,}, /* 10**-1 */ | |
4510 | }; | |
4511 | #else | |
4512 | /* LONG_DOUBLE_TYPE_SIZE is other than 128 */ | |
0c5d8c82 | 4513 | static const UEMUSHORT etens[NTEN + 1][NE] = |
985b6196 RS |
4514 | { |
4515 | {0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */ | |
4516 | {0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */ | |
4517 | {0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,}, | |
4518 | {0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,}, | |
4519 | {0xddbc, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,}, | |
4520 | {0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,}, | |
4521 | {0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,}, | |
4522 | {0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,}, | |
4523 | {0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,}, | |
4524 | {0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,}, | |
4525 | {0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,}, | |
4526 | {0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,}, | |
4527 | {0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */ | |
4528 | }; | |
4529 | ||
0c5d8c82 | 4530 | static const UEMUSHORT emtens[NTEN + 1][NE] = |
985b6196 RS |
4531 | { |
4532 | {0x2de4, 0x9fde, 0xd2ce, 0x04c8, 0xa6dd, 0x0ad8,}, /* 10**-4096 */ | |
4533 | {0x4925, 0x2de4, 0x3436, 0x534f, 0xceae, 0x256b,}, /* 10**-2048 */ | |
4534 | {0x87a6, 0xc0bd, 0xda57, 0x82a5, 0xa2a6, 0x32b5,}, | |
4535 | {0x7133, 0xd21c, 0xdb23, 0xee32, 0x9049, 0x395a,}, | |
4536 | {0xfa91, 0x1939, 0x637a, 0x4325, 0xc031, 0x3cac,}, | |
4537 | {0xac7d, 0xe4a0, 0x64bc, 0x467c, 0xddd0, 0x3e55,}, | |
4538 | {0x3f24, 0xe9a5, 0xa539, 0xea27, 0xa87f, 0x3f2a,}, | |
4539 | {0x67de, 0x94ba, 0x4539, 0x1ead, 0xcfb1, 0x3f94,}, | |
4540 | {0x4c2f, 0xe15b, 0xc44d, 0x94be, 0xe695, 0x3fc9,}, | |
4541 | {0xfdc2, 0xcefc, 0x8461, 0x7711, 0xabcc, 0x3fe4,}, | |
4542 | {0xd3c3, 0x652b, 0xe219, 0x1758, 0xd1b7, 0x3ff1,}, | |
4543 | {0x3d71, 0xd70a, 0x70a3, 0x0a3d, 0xa3d7, 0x3ff8,}, | |
4544 | {0xcccd, 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0x3ffb,}, /* 10**-1 */ | |
4545 | }; | |
842fbaaa | 4546 | #endif |
985b6196 | 4547 | |
7a87758d | 4548 | #if 0 |
8c35bbc5 RK |
4549 | /* Convert float value X to ASCII string STRING with NDIG digits after |
4550 | the decimal point. */ | |
4551 | ||
b6ca239d | 4552 | static void |
985b6196 | 4553 | e24toasc (x, string, ndigs) |
0c5d8c82 | 4554 | const UEMUSHORT x[]; |
985b6196 RS |
4555 | char *string; |
4556 | int ndigs; | |
4557 | { | |
177b41eb | 4558 | UEMUSHORT w[NI]; |
985b6196 | 4559 | |
985b6196 RS |
4560 | e24toe (x, w); |
4561 | etoasc (w, string, ndigs); | |
4562 | } | |
4563 | ||
8c35bbc5 RK |
4564 | /* Convert double value X to ASCII string STRING with NDIG digits after |
4565 | the decimal point. */ | |
985b6196 | 4566 | |
b6ca239d | 4567 | static void |
985b6196 | 4568 | e53toasc (x, string, ndigs) |
0c5d8c82 | 4569 | const UEMUSHORT x[]; |
985b6196 RS |
4570 | char *string; |
4571 | int ndigs; | |
4572 | { | |
177b41eb | 4573 | UEMUSHORT w[NI]; |
985b6196 | 4574 | |
985b6196 RS |
4575 | e53toe (x, w); |
4576 | etoasc (w, string, ndigs); | |
4577 | } | |
4578 | ||
8c35bbc5 RK |
4579 | /* Convert double extended value X to ASCII string STRING with NDIG digits |
4580 | after the decimal point. */ | |
985b6196 | 4581 | |
b6ca239d | 4582 | static void |
985b6196 | 4583 | e64toasc (x, string, ndigs) |
0c5d8c82 | 4584 | const UEMUSHORT x[]; |
985b6196 RS |
4585 | char *string; |
4586 | int ndigs; | |
4587 | { | |
177b41eb | 4588 | UEMUSHORT w[NI]; |
985b6196 | 4589 | |
985b6196 RS |
4590 | e64toe (x, w); |
4591 | etoasc (w, string, ndigs); | |
4592 | } | |
4593 | ||
8c35bbc5 RK |
4594 | /* Convert 128-bit long double value X to ASCII string STRING with NDIG digits |
4595 | after the decimal point. */ | |
4596 | ||
b6ca239d | 4597 | static void |
842fbaaa | 4598 | e113toasc (x, string, ndigs) |
0c5d8c82 | 4599 | const UEMUSHORT x[]; |
842fbaaa JW |
4600 | char *string; |
4601 | int ndigs; | |
4602 | { | |
177b41eb | 4603 | UEMUSHORT w[NI]; |
842fbaaa JW |
4604 | |
4605 | e113toe (x, w); | |
4606 | etoasc (w, string, ndigs); | |
4607 | } | |
7a87758d | 4608 | #endif /* 0 */ |
842fbaaa | 4609 | |
8c35bbc5 RK |
4610 | /* Convert e-type X to ASCII string STRING with NDIGS digits after |
4611 | the decimal point. */ | |
985b6196 RS |
4612 | |
4613 | static char wstring[80]; /* working storage for ASCII output */ | |
4614 | ||
b6ca239d | 4615 | static void |
985b6196 | 4616 | etoasc (x, string, ndigs) |
0c5d8c82 | 4617 | const UEMUSHORT x[]; |
985b6196 RS |
4618 | char *string; |
4619 | int ndigs; | |
4620 | { | |
4621 | EMUSHORT digit; | |
177b41eb | 4622 | UEMUSHORT y[NI], t[NI], u[NI], w[NI]; |
0c5d8c82 | 4623 | const UEMUSHORT *p, *r, *ten; |
177b41eb | 4624 | UEMUSHORT sign; |
985b6196 RS |
4625 | int i, j, k, expon, rndsav; |
4626 | char *s, *ss; | |
177b41eb | 4627 | UEMUSHORT m; |
985b6196 | 4628 | |
66b6d60b RS |
4629 | |
4630 | rndsav = rndprc; | |
985b6196 RS |
4631 | ss = string; |
4632 | s = wstring; | |
66b6d60b RS |
4633 | *ss = '\0'; |
4634 | *s = '\0'; | |
4635 | #ifdef NANS | |
4636 | if (eisnan (x)) | |
4637 | { | |
4638 | sprintf (wstring, " NaN "); | |
4639 | goto bxit; | |
4640 | } | |
4641 | #endif | |
985b6196 RS |
4642 | rndprc = NBITS; /* set to full precision */ |
4643 | emov (x, y); /* retain external format */ | |
4644 | if (y[NE - 1] & 0x8000) | |
4645 | { | |
4646 | sign = 0xffff; | |
4647 | y[NE - 1] &= 0x7fff; | |
4648 | } | |
4649 | else | |
4650 | { | |
4651 | sign = 0; | |
4652 | } | |
4653 | expon = 0; | |
4654 | ten = &etens[NTEN][0]; | |
4655 | emov (eone, t); | |
4656 | /* Test for zero exponent */ | |
4657 | if (y[NE - 1] == 0) | |
4658 | { | |
4659 | for (k = 0; k < NE - 1; k++) | |
4660 | { | |
4661 | if (y[k] != 0) | |
4662 | goto tnzro; /* denormalized number */ | |
4663 | } | |
43b55a67 | 4664 | goto isone; /* valid all zeros */ |
985b6196 RS |
4665 | } |
4666 | tnzro: | |
4667 | ||
0f41302f | 4668 | /* Test for infinity. */ |
985b6196 RS |
4669 | if (y[NE - 1] == 0x7fff) |
4670 | { | |
4671 | if (sign) | |
4672 | sprintf (wstring, " -Infinity "); | |
4673 | else | |
4674 | sprintf (wstring, " Infinity "); | |
4675 | goto bxit; | |
4676 | } | |
4677 | ||
4678 | /* Test for exponent nonzero but significand denormalized. | |
4679 | * This is an error condition. | |
4680 | */ | |
4681 | if ((y[NE - 1] != 0) && ((y[NE - 2] & 0x8000) == 0)) | |
4682 | { | |
4683 | mtherr ("etoasc", DOMAIN); | |
4684 | sprintf (wstring, "NaN"); | |
4685 | goto bxit; | |
4686 | } | |
4687 | ||
4688 | /* Compare to 1.0 */ | |
4689 | i = ecmp (eone, y); | |
4690 | if (i == 0) | |
4691 | goto isone; | |
4692 | ||
66b6d60b RS |
4693 | if (i == -2) |
4694 | abort (); | |
4695 | ||
985b6196 RS |
4696 | if (i < 0) |
4697 | { /* Number is greater than 1 */ | |
0f41302f | 4698 | /* Convert significand to an integer and strip trailing decimal zeros. */ |
985b6196 RS |
4699 | emov (y, u); |
4700 | u[NE - 1] = EXONE + NBITS - 1; | |
4701 | ||
4702 | p = &etens[NTEN - 4][0]; | |
4703 | m = 16; | |
4704 | do | |
4705 | { | |
4706 | ediv (p, u, t); | |
4707 | efloor (t, w); | |
4708 | for (j = 0; j < NE - 1; j++) | |
4709 | { | |
4710 | if (t[j] != w[j]) | |
4711 | goto noint; | |
4712 | } | |
4713 | emov (t, u); | |
4714 | expon += (int) m; | |
4715 | noint: | |
4716 | p += NE; | |
4717 | m >>= 1; | |
4718 | } | |
4719 | while (m != 0); | |
4720 | ||
4721 | /* Rescale from integer significand */ | |
4722 | u[NE - 1] += y[NE - 1] - (unsigned int) (EXONE + NBITS - 1); | |
4723 | emov (u, y); | |
4724 | /* Find power of 10 */ | |
4725 | emov (eone, t); | |
4726 | m = MAXP; | |
4727 | p = &etens[0][0]; | |
0f41302f | 4728 | /* An unordered compare result shouldn't happen here. */ |
985b6196 RS |
4729 | while (ecmp (ten, u) <= 0) |
4730 | { | |
4731 | if (ecmp (p, u) <= 0) | |
4732 | { | |
4733 | ediv (p, u, u); | |
4734 | emul (p, t, t); | |
4735 | expon += (int) m; | |
4736 | } | |
4737 | m >>= 1; | |
4738 | if (m == 0) | |
4739 | break; | |
4740 | p += NE; | |
4741 | } | |
4742 | } | |
4743 | else | |
4744 | { /* Number is less than 1.0 */ | |
0f41302f | 4745 | /* Pad significand with trailing decimal zeros. */ |
985b6196 RS |
4746 | if (y[NE - 1] == 0) |
4747 | { | |
4748 | while ((y[NE - 2] & 0x8000) == 0) | |
4749 | { | |
4750 | emul (ten, y, y); | |
4751 | expon -= 1; | |
4752 | } | |
4753 | } | |
4754 | else | |
4755 | { | |
4756 | emovi (y, w); | |
4757 | for (i = 0; i < NDEC + 1; i++) | |
4758 | { | |
4759 | if ((w[NI - 1] & 0x7) != 0) | |
4760 | break; | |
4761 | /* multiply by 10 */ | |
4762 | emovz (w, u); | |
4763 | eshdn1 (u); | |
4764 | eshdn1 (u); | |
4765 | eaddm (w, u); | |
4766 | u[1] += 3; | |
4767 | while (u[2] != 0) | |
4768 | { | |
4769 | eshdn1 (u); | |
4770 | u[1] += 1; | |
4771 | } | |
4772 | if (u[NI - 1] != 0) | |
4773 | break; | |
4774 | if (eone[NE - 1] <= u[1]) | |
4775 | break; | |
4776 | emovz (u, w); | |
4777 | expon -= 1; | |
4778 | } | |
4779 | emovo (w, y); | |
4780 | } | |
4781 | k = -MAXP; | |
4782 | p = &emtens[0][0]; | |
4783 | r = &etens[0][0]; | |
4784 | emov (y, w); | |
4785 | emov (eone, t); | |
4786 | while (ecmp (eone, w) > 0) | |
4787 | { | |
4788 | if (ecmp (p, w) >= 0) | |
4789 | { | |
4790 | emul (r, w, w); | |
4791 | emul (r, t, t); | |
4792 | expon += k; | |
4793 | } | |
4794 | k /= 2; | |
4795 | if (k == 0) | |
4796 | break; | |
4797 | p += NE; | |
4798 | r += NE; | |
4799 | } | |
4800 | ediv (t, eone, t); | |
4801 | } | |
4802 | isone: | |
0f41302f | 4803 | /* Find the first (leading) digit. */ |
985b6196 RS |
4804 | emovi (t, w); |
4805 | emovz (w, t); | |
4806 | emovi (y, w); | |
4807 | emovz (w, y); | |
4808 | eiremain (t, y); | |
4809 | digit = equot[NI - 1]; | |
4810 | while ((digit == 0) && (ecmp (y, ezero) != 0)) | |
4811 | { | |
4812 | eshup1 (y); | |
4813 | emovz (y, u); | |
4814 | eshup1 (u); | |
4815 | eshup1 (u); | |
4816 | eaddm (u, y); | |
4817 | eiremain (t, y); | |
4818 | digit = equot[NI - 1]; | |
4819 | expon -= 1; | |
4820 | } | |
4821 | s = wstring; | |
4822 | if (sign) | |
4823 | *s++ = '-'; | |
4824 | else | |
4825 | *s++ = ' '; | |
0f41302f | 4826 | /* Examine number of digits requested by caller. */ |
985b6196 RS |
4827 | if (ndigs < 0) |
4828 | ndigs = 0; | |
4829 | if (ndigs > NDEC) | |
4830 | ndigs = NDEC; | |
64685ffa RS |
4831 | if (digit == 10) |
4832 | { | |
4833 | *s++ = '1'; | |
4834 | *s++ = '.'; | |
4835 | if (ndigs > 0) | |
4836 | { | |
4837 | *s++ = '0'; | |
4838 | ndigs -= 1; | |
4839 | } | |
4840 | expon += 1; | |
4841 | } | |
4842 | else | |
4843 | { | |
8e2e89f7 | 4844 | *s++ = (char) digit + '0'; |
64685ffa RS |
4845 | *s++ = '.'; |
4846 | } | |
0f41302f | 4847 | /* Generate digits after the decimal point. */ |
985b6196 RS |
4848 | for (k = 0; k <= ndigs; k++) |
4849 | { | |
4850 | /* multiply current number by 10, without normalizing */ | |
4851 | eshup1 (y); | |
4852 | emovz (y, u); | |
4853 | eshup1 (u); | |
4854 | eshup1 (u); | |
4855 | eaddm (u, y); | |
4856 | eiremain (t, y); | |
4857 | *s++ = (char) equot[NI - 1] + '0'; | |
4858 | } | |
4859 | digit = equot[NI - 1]; | |
4860 | --s; | |
4861 | ss = s; | |
4862 | /* round off the ASCII string */ | |
4863 | if (digit > 4) | |
4864 | { | |
0f41302f | 4865 | /* Test for critical rounding case in ASCII output. */ |
985b6196 RS |
4866 | if (digit == 5) |
4867 | { | |
4868 | emovo (y, t); | |
4869 | if (ecmp (t, ezero) != 0) | |
4870 | goto roun; /* round to nearest */ | |
506b012c | 4871 | #ifndef C4X |
985b6196 RS |
4872 | if ((*(s - 1) & 1) == 0) |
4873 | goto doexp; /* round to even */ | |
506b012c | 4874 | #endif |
985b6196 RS |
4875 | } |
4876 | /* Round up and propagate carry-outs */ | |
4877 | roun: | |
4878 | --s; | |
5f6d3823 | 4879 | k = *s & CHARMASK; |
985b6196 RS |
4880 | /* Carry out to most significant digit? */ |
4881 | if (k == '.') | |
4882 | { | |
4883 | --s; | |
4884 | k = *s; | |
4885 | k += 1; | |
4886 | *s = (char) k; | |
4887 | /* Most significant digit carries to 10? */ | |
4888 | if (k > '9') | |
4889 | { | |
4890 | expon += 1; | |
4891 | *s = '1'; | |
4892 | } | |
4893 | goto doexp; | |
4894 | } | |
4895 | /* Round up and carry out from less significant digits */ | |
4896 | k += 1; | |
4897 | *s = (char) k; | |
4898 | if (k > '9') | |
4899 | { | |
4900 | *s = '0'; | |
4901 | goto roun; | |
4902 | } | |
4903 | } | |
4904 | doexp: | |
b3ae1ccd RH |
4905 | /* Strip trailing zeros, but leave at least one. */ |
4906 | while (ss[-1] == '0' && ss[-2] != '.') | |
4907 | --ss; | |
985b6196 RS |
4908 | sprintf (ss, "e%d", expon); |
4909 | bxit: | |
4910 | rndprc = rndsav; | |
4911 | /* copy out the working string */ | |
4912 | s = string; | |
4913 | ss = wstring; | |
4914 | while (*ss == ' ') /* strip possible leading space */ | |
4915 | ++ss; | |
4916 | while ((*s++ = *ss++) != '\0') | |
4917 | ; | |
4918 | } | |
4919 | ||
4920 | ||
8c35bbc5 | 4921 | /* Convert ASCII string to floating point. |
985b6196 | 4922 | |
8c35bbc5 RK |
4923 | Numeric input is a free format decimal number of any length, with |
4924 | or without decimal point. Entering E after the number followed by an | |
4925 | integer number causes the second number to be interpreted as a power of | |
4926 | 10 to be multiplied by the first number (i.e., "scientific" notation). */ | |
985b6196 | 4927 | |
8c35bbc5 | 4928 | /* Convert ASCII string S to single precision float value Y. */ |
a0353055 | 4929 | |
b6ca239d | 4930 | static void |
985b6196 | 4931 | asctoe24 (s, y) |
dff01034 | 4932 | const char *s; |
177b41eb | 4933 | UEMUSHORT *y; |
985b6196 RS |
4934 | { |
4935 | asctoeg (s, y, 24); | |
4936 | } | |
4937 | ||
4938 | ||
8c35bbc5 | 4939 | /* Convert ASCII string S to double precision value Y. */ |
a0353055 | 4940 | |
b6ca239d | 4941 | static void |
985b6196 | 4942 | asctoe53 (s, y) |
dff01034 | 4943 | const char *s; |
177b41eb | 4944 | UEMUSHORT *y; |
985b6196 | 4945 | { |
842fbaaa | 4946 | #if defined(DEC) || defined(IBM) |
985b6196 | 4947 | asctoeg (s, y, 56); |
f5963e61 JL |
4948 | #else |
4949 | #if defined(C4X) | |
4950 | asctoeg (s, y, 32); | |
985b6196 RS |
4951 | #else |
4952 | asctoeg (s, y, 53); | |
4953 | #endif | |
f5963e61 | 4954 | #endif |
985b6196 RS |
4955 | } |
4956 | ||
4957 | ||
8c35bbc5 | 4958 | /* Convert ASCII string S to double extended value Y. */ |
a0353055 | 4959 | |
b6ca239d | 4960 | static void |
985b6196 | 4961 | asctoe64 (s, y) |
dff01034 | 4962 | const char *s; |
177b41eb | 4963 | UEMUSHORT *y; |
985b6196 RS |
4964 | { |
4965 | asctoeg (s, y, 64); | |
4966 | } | |
4967 | ||
23c108af | 4968 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
8c35bbc5 | 4969 | /* Convert ASCII string S to 128-bit long double Y. */ |
a0353055 | 4970 | |
b6ca239d | 4971 | static void |
842fbaaa | 4972 | asctoe113 (s, y) |
dff01034 | 4973 | const char *s; |
177b41eb | 4974 | UEMUSHORT *y; |
842fbaaa JW |
4975 | { |
4976 | asctoeg (s, y, 113); | |
4977 | } | |
0024a804 | 4978 | #endif |
842fbaaa | 4979 | |
8c35bbc5 | 4980 | /* Convert ASCII string S to e type Y. */ |
defb5dab | 4981 | |
b6ca239d | 4982 | static void |
985b6196 | 4983 | asctoe (s, y) |
dff01034 | 4984 | const char *s; |
177b41eb | 4985 | UEMUSHORT *y; |
985b6196 RS |
4986 | { |
4987 | asctoeg (s, y, NBITS); | |
4988 | } | |
4989 | ||
8c35bbc5 | 4990 | /* Convert ASCII string SS to e type Y, with a specified rounding precision |
526aba28 | 4991 | of OPREC bits. BASE is 16 for C99 hexadecimal floating constants. */ |
defb5dab | 4992 | |
b6ca239d | 4993 | static void |
985b6196 | 4994 | asctoeg (ss, y, oprec) |
dff01034 | 4995 | const char *ss; |
177b41eb | 4996 | UEMUSHORT *y; |
985b6196 RS |
4997 | int oprec; |
4998 | { | |
177b41eb | 4999 | UEMUSHORT yy[NI], xt[NI], tt[NI]; |
985b6196 | 5000 | int esign, decflg, sgnflg, nexp, exp, prec, lost; |
87ae0c74 | 5001 | int i, k, trail, c, rndsav; |
985b6196 | 5002 | EMULONG lexp; |
177b41eb | 5003 | UEMUSHORT nsign; |
d73e9b8d | 5004 | char *sp, *s, *lstr; |
6f4d7222 | 5005 | int base = 10; |
985b6196 | 5006 | |
0f41302f | 5007 | /* Copy the input string. */ |
d73e9b8d | 5008 | lstr = (char *) alloca (strlen (ss) + 1); |
6f4d7222 | 5009 | |
dff01034 KG |
5010 | while (*ss == ' ') /* skip leading spaces */ |
5011 | ++ss; | |
6f4d7222 | 5012 | |
985b6196 | 5013 | sp = lstr; |
dff01034 | 5014 | while ((*sp++ = *ss++) != '\0') |
a9456cd3 | 5015 | ; |
985b6196 RS |
5016 | s = lstr; |
5017 | ||
6f4d7222 UD |
5018 | if (s[0] == '0' && (s[1] == 'x' || s[1] == 'X')) |
5019 | { | |
5020 | base = 16; | |
5021 | s += 2; | |
5022 | } | |
5023 | ||
985b6196 RS |
5024 | rndsav = rndprc; |
5025 | rndprc = NBITS; /* Set to full precision */ | |
5026 | lost = 0; | |
5027 | nsign = 0; | |
5028 | decflg = 0; | |
5029 | sgnflg = 0; | |
5030 | nexp = 0; | |
5031 | exp = 0; | |
5032 | prec = 0; | |
5033 | ecleaz (yy); | |
5034 | trail = 0; | |
5035 | ||
5036 | nxtcom: | |
8e2e89f7 | 5037 | k = hex_value (*s); |
6f4d7222 | 5038 | if ((k >= 0) && (k < base)) |
985b6196 RS |
5039 | { |
5040 | /* Ignore leading zeros */ | |
5041 | if ((prec == 0) && (decflg == 0) && (k == 0)) | |
5042 | goto donchr; | |
0f41302f | 5043 | /* Identify and strip trailing zeros after the decimal point. */ |
985b6196 RS |
5044 | if ((trail == 0) && (decflg != 0)) |
5045 | { | |
5046 | sp = s; | |
faf31866 | 5047 | while (ISDIGIT (*sp) || (base == 16 && ISXDIGIT (*sp))) |
985b6196 RS |
5048 | ++sp; |
5049 | /* Check for syntax error */ | |
5f6d3823 | 5050 | c = *sp & CHARMASK; |
6f4d7222 UD |
5051 | if ((base != 10 || ((c != 'e') && (c != 'E'))) |
5052 | && (base != 16 || ((c != 'p') && (c != 'P'))) | |
5053 | && (c != '\0') | |
985b6196 RS |
5054 | && (c != '\n') && (c != '\r') && (c != ' ') |
5055 | && (c != ',')) | |
c6a8e616 | 5056 | goto unexpected_char_error; |
985b6196 RS |
5057 | --sp; |
5058 | while (*sp == '0') | |
5059 | *sp-- = 'z'; | |
5060 | trail = 1; | |
5061 | if (*s == 'z') | |
5062 | goto donchr; | |
5063 | } | |
defb5dab | 5064 | |
985b6196 | 5065 | /* If enough digits were given to more than fill up the yy register, |
defb5dab RK |
5066 | continuing until overflow into the high guard word yy[2] |
5067 | guarantees that there will be a roundoff bit at the top | |
5068 | of the low guard word after normalization. */ | |
5069 | ||
985b6196 RS |
5070 | if (yy[2] == 0) |
5071 | { | |
6f4d7222 UD |
5072 | if (base == 16) |
5073 | { | |
b6ca239d | 5074 | if (decflg) |
6f4d7222 UD |
5075 | nexp += 4; /* count digits after decimal point */ |
5076 | ||
5077 | eshup1 (yy); /* multiply current number by 16 */ | |
5078 | eshup1 (yy); | |
5079 | eshup1 (yy); | |
5080 | eshup1 (yy); | |
5081 | } | |
5082 | else | |
5083 | { | |
5084 | if (decflg) | |
c5c76735 | 5085 | nexp += 1; /* count digits after decimal point */ |
6f4d7222 | 5086 | |
c5c76735 | 5087 | eshup1 (yy); /* multiply current number by 10 */ |
b6ca239d UD |
5088 | emovz (yy, xt); |
5089 | eshup1 (xt); | |
5090 | eshup1 (xt); | |
5091 | eaddm (xt, yy); | |
6f4d7222 UD |
5092 | } |
5093 | /* Insert the current digit. */ | |
985b6196 | 5094 | ecleaz (xt); |
177b41eb | 5095 | xt[NI - 2] = (UEMUSHORT) k; |
985b6196 RS |
5096 | eaddm (xt, yy); |
5097 | } | |
5098 | else | |
5099 | { | |
d73e9b8d | 5100 | /* Mark any lost non-zero digit. */ |
985b6196 | 5101 | lost |= k; |
d73e9b8d RS |
5102 | /* Count lost digits before the decimal point. */ |
5103 | if (decflg == 0) | |
6f4d7222 UD |
5104 | { |
5105 | if (base == 10) | |
b6ca239d | 5106 | nexp -= 1; |
6f4d7222 UD |
5107 | else |
5108 | nexp -= 4; | |
b6ca239d | 5109 | } |
985b6196 RS |
5110 | } |
5111 | prec += 1; | |
5112 | goto donchr; | |
5113 | } | |
5114 | ||
5115 | switch (*s) | |
5116 | { | |
5117 | case 'z': | |
5118 | break; | |
5119 | case 'E': | |
5120 | case 'e': | |
6f4d7222 UD |
5121 | case 'P': |
5122 | case 'p': | |
985b6196 RS |
5123 | goto expnt; |
5124 | case '.': /* decimal point */ | |
5125 | if (decflg) | |
c6a8e616 | 5126 | goto unexpected_char_error; |
985b6196 RS |
5127 | ++decflg; |
5128 | break; | |
5129 | case '-': | |
5130 | nsign = 0xffff; | |
5131 | if (sgnflg) | |
c6a8e616 | 5132 | goto unexpected_char_error; |
985b6196 RS |
5133 | ++sgnflg; |
5134 | break; | |
5135 | case '+': | |
5136 | if (sgnflg) | |
c6a8e616 | 5137 | goto unexpected_char_error; |
985b6196 RS |
5138 | ++sgnflg; |
5139 | break; | |
5140 | case ',': | |
5141 | case ' ': | |
5142 | case '\0': | |
5143 | case '\n': | |
5144 | case '\r': | |
5145 | goto daldone; | |
5146 | case 'i': | |
5147 | case 'I': | |
64685ffa | 5148 | goto infinite; |
985b6196 | 5149 | default: |
c6a8e616 | 5150 | unexpected_char_error: |
66b6d60b RS |
5151 | #ifdef NANS |
5152 | einan (yy); | |
5153 | #else | |
985b6196 | 5154 | mtherr ("asctoe", DOMAIN); |
66b6d60b RS |
5155 | eclear (yy); |
5156 | #endif | |
985b6196 RS |
5157 | goto aexit; |
5158 | } | |
5159 | donchr: | |
5160 | ++s; | |
5161 | goto nxtcom; | |
5162 | ||
5163 | /* Exponent interpretation */ | |
5164 | expnt: | |
dc297297 | 5165 | /* 0.0eXXX is zero, regardless of XXX. Check for the 0.0. */ |
25a00742 RK |
5166 | for (k = 0; k < NI; k++) |
5167 | { | |
5168 | if (yy[k] != 0) | |
5169 | goto read_expnt; | |
5170 | } | |
5171 | goto aexit; | |
985b6196 | 5172 | |
25a00742 | 5173 | read_expnt: |
985b6196 RS |
5174 | esign = 1; |
5175 | exp = 0; | |
5176 | ++s; | |
5177 | /* check for + or - */ | |
5178 | if (*s == '-') | |
5179 | { | |
5180 | esign = -1; | |
5181 | ++s; | |
5182 | } | |
5183 | if (*s == '+') | |
5184 | ++s; | |
0df6c2c7 | 5185 | while (ISDIGIT (*s)) |
985b6196 RS |
5186 | { |
5187 | exp *= 10; | |
5188 | exp += *s++ - '0'; | |
6f4d7222 | 5189 | if (exp > 999999) |
c5c76735 | 5190 | break; |
985b6196 RS |
5191 | } |
5192 | if (esign < 0) | |
5193 | exp = -exp; | |
6f4d7222 | 5194 | if ((exp > MAXDECEXP) && (base == 10)) |
64685ffa RS |
5195 | { |
5196 | infinite: | |
5197 | ecleaz (yy); | |
5198 | yy[E] = 0x7fff; /* infinity */ | |
5199 | goto aexit; | |
5200 | } | |
6f4d7222 | 5201 | if ((exp < MINDECEXP) && (base == 10)) |
64685ffa RS |
5202 | { |
5203 | zero: | |
5204 | ecleaz (yy); | |
5205 | goto aexit; | |
5206 | } | |
985b6196 RS |
5207 | |
5208 | daldone: | |
6f4d7222 UD |
5209 | if (base == 16) |
5210 | { | |
5211 | /* Base 16 hexadecimal floating constant. */ | |
5212 | if ((k = enormlz (yy)) > NBITS) | |
5213 | { | |
5214 | ecleaz (yy); | |
5215 | goto aexit; | |
5216 | } | |
5217 | /* Adjust the exponent. NEXP is the number of hex digits, | |
5218 | EXP is a power of 2. */ | |
5219 | lexp = (EXONE - 1 + NBITS) - k + yy[E] + exp - nexp; | |
5220 | if (lexp > 0x7fff) | |
5221 | goto infinite; | |
5222 | if (lexp < 0) | |
5223 | goto zero; | |
5224 | yy[E] = lexp; | |
5225 | goto expdon; | |
5226 | } | |
5227 | ||
985b6196 | 5228 | nexp = exp - nexp; |
0f41302f | 5229 | /* Pad trailing zeros to minimize power of 10, per IEEE spec. */ |
985b6196 RS |
5230 | while ((nexp > 0) && (yy[2] == 0)) |
5231 | { | |
5232 | emovz (yy, xt); | |
5233 | eshup1 (xt); | |
5234 | eshup1 (xt); | |
5235 | eaddm (yy, xt); | |
5236 | eshup1 (xt); | |
5237 | if (xt[2] != 0) | |
5238 | break; | |
5239 | nexp -= 1; | |
5240 | emovz (xt, yy); | |
5241 | } | |
5242 | if ((k = enormlz (yy)) > NBITS) | |
5243 | { | |
5244 | ecleaz (yy); | |
5245 | goto aexit; | |
5246 | } | |
5247 | lexp = (EXONE - 1 + NBITS) - k; | |
5248 | emdnorm (yy, lost, 0, lexp, 64); | |
6f4d7222 | 5249 | lost = 0; |
985b6196 | 5250 | |
defb5dab RK |
5251 | /* Convert to external format: |
5252 | ||
5253 | Multiply by 10**nexp. If precision is 64 bits, | |
5254 | the maximum relative error incurred in forming 10**n | |
5255 | for 0 <= n <= 324 is 8.2e-20, at 10**180. | |
5256 | For 0 <= n <= 999, the peak relative error is 1.4e-19 at 10**947. | |
5257 | For 0 >= n >= -999, it is -1.55e-19 at 10**-435. */ | |
985b6196 | 5258 | |
985b6196 RS |
5259 | lexp = yy[E]; |
5260 | if (nexp == 0) | |
5261 | { | |
5262 | k = 0; | |
5263 | goto expdon; | |
5264 | } | |
5265 | esign = 1; | |
5266 | if (nexp < 0) | |
5267 | { | |
5268 | nexp = -nexp; | |
5269 | esign = -1; | |
5270 | if (nexp > 4096) | |
defb5dab | 5271 | { |
0f41302f | 5272 | /* Punt. Can't handle this without 2 divides. */ |
985b6196 RS |
5273 | emovi (etens[0], tt); |
5274 | lexp -= tt[E]; | |
5275 | k = edivm (tt, yy); | |
5276 | lexp += EXONE; | |
5277 | nexp -= 4096; | |
5278 | } | |
5279 | } | |
985b6196 RS |
5280 | emov (eone, xt); |
5281 | exp = 1; | |
87ae0c74 | 5282 | i = NTEN; |
985b6196 RS |
5283 | do |
5284 | { | |
5285 | if (exp & nexp) | |
87ae0c74 GM |
5286 | emul (etens[i], xt, xt); |
5287 | i--; | |
985b6196 RS |
5288 | exp = exp + exp; |
5289 | } | |
5290 | while (exp <= MAXP); | |
5291 | ||
5292 | emovi (xt, tt); | |
5293 | if (esign < 0) | |
5294 | { | |
5295 | lexp -= tt[E]; | |
5296 | k = edivm (tt, yy); | |
5297 | lexp += EXONE; | |
5298 | } | |
5299 | else | |
5300 | { | |
5301 | lexp += tt[E]; | |
5302 | k = emulm (tt, yy); | |
5303 | lexp -= EXONE - 1; | |
5304 | } | |
6f4d7222 | 5305 | lost = k; |
985b6196 RS |
5306 | |
5307 | expdon: | |
5308 | ||
5309 | /* Round and convert directly to the destination type */ | |
5310 | if (oprec == 53) | |
5311 | lexp -= EXONE - 0x3ff; | |
f5963e61 JL |
5312 | #ifdef C4X |
5313 | else if (oprec == 24 || oprec == 32) | |
5314 | lexp -= (EXONE - 0x7f); | |
5315 | #else | |
842fbaaa JW |
5316 | #ifdef IBM |
5317 | else if (oprec == 24 || oprec == 56) | |
5318 | lexp -= EXONE - (0x41 << 2); | |
5319 | #else | |
45e574d0 | 5320 | #ifdef DEC |
985b6196 | 5321 | else if (oprec == 24) |
45e574d0 JDA |
5322 | lexp -= dec_f.adjustment; |
5323 | else if (oprec == 56) | |
5324 | { | |
5325 | if (TARGET_G_FLOAT) | |
5326 | lexp -= dec_g.adjustment; | |
5327 | else | |
5328 | lexp -= dec_d.adjustment; | |
5329 | } | |
5330 | #else | |
5331 | else if (oprec == 24) | |
985b6196 | 5332 | lexp -= EXONE - 0177; |
45e574d0 | 5333 | #endif /* DEC */ |
f5963e61 JL |
5334 | #endif /* IBM */ |
5335 | #endif /* C4X */ | |
985b6196 | 5336 | rndprc = oprec; |
6f4d7222 | 5337 | emdnorm (yy, lost, 0, lexp, 64); |
985b6196 RS |
5338 | |
5339 | aexit: | |
5340 | ||
5341 | rndprc = rndsav; | |
5342 | yy[0] = nsign; | |
5343 | switch (oprec) | |
5344 | { | |
5345 | #ifdef DEC | |
5346 | case 56: | |
45e574d0 | 5347 | todec (yy, y); |
985b6196 | 5348 | break; |
842fbaaa JW |
5349 | #endif |
5350 | #ifdef IBM | |
5351 | case 56: | |
5352 | toibm (yy, y, DFmode); | |
5353 | break; | |
985b6196 | 5354 | #endif |
f5963e61 JL |
5355 | #ifdef C4X |
5356 | case 32: | |
5357 | toc4x (yy, y, HFmode); | |
5358 | break; | |
5359 | #endif | |
5360 | ||
985b6196 RS |
5361 | case 53: |
5362 | toe53 (yy, y); | |
5363 | break; | |
5364 | case 24: | |
5365 | toe24 (yy, y); | |
5366 | break; | |
5367 | case 64: | |
5368 | toe64 (yy, y); | |
5369 | break; | |
e6724881 | 5370 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
842fbaaa JW |
5371 | case 113: |
5372 | toe113 (yy, y); | |
5373 | break; | |
e6724881 | 5374 | #endif |
985b6196 RS |
5375 | case NBITS: |
5376 | emovo (yy, y); | |
5377 | break; | |
5378 | } | |
5379 | } | |
5380 | ||
5381 | ||
5382 | ||
8c35bbc5 RK |
5383 | /* Return Y = largest integer not greater than X (truncated toward minus |
5384 | infinity). */ | |
defb5dab | 5385 | |
8b60264b | 5386 | static const UEMUSHORT bmask[] = |
985b6196 RS |
5387 | { |
5388 | 0xffff, | |
5389 | 0xfffe, | |
5390 | 0xfffc, | |
5391 | 0xfff8, | |
5392 | 0xfff0, | |
5393 | 0xffe0, | |
5394 | 0xffc0, | |
5395 | 0xff80, | |
5396 | 0xff00, | |
5397 | 0xfe00, | |
5398 | 0xfc00, | |
5399 | 0xf800, | |
5400 | 0xf000, | |
5401 | 0xe000, | |
5402 | 0xc000, | |
5403 | 0x8000, | |
5404 | 0x0000, | |
5405 | }; | |
5406 | ||
b6ca239d | 5407 | static void |
985b6196 | 5408 | efloor (x, y) |
0c5d8c82 KG |
5409 | const UEMUSHORT x[]; |
5410 | UEMUSHORT y[]; | |
985b6196 | 5411 | { |
b3694847 | 5412 | UEMUSHORT *p; |
985b6196 | 5413 | int e, expon, i; |
177b41eb | 5414 | UEMUSHORT f[NE]; |
985b6196 RS |
5415 | |
5416 | emov (x, f); /* leave in external format */ | |
5417 | expon = (int) f[NE - 1]; | |
5418 | e = (expon & 0x7fff) - (EXONE - 1); | |
5419 | if (e <= 0) | |
5420 | { | |
5421 | eclear (y); | |
5422 | goto isitneg; | |
5423 | } | |
5424 | /* number of bits to clear out */ | |
5425 | e = NBITS - e; | |
5426 | emov (f, y); | |
5427 | if (e <= 0) | |
5428 | return; | |
5429 | ||
5430 | p = &y[0]; | |
5431 | while (e >= 16) | |
5432 | { | |
5433 | *p++ = 0; | |
5434 | e -= 16; | |
5435 | } | |
5436 | /* clear the remaining bits */ | |
5437 | *p &= bmask[e]; | |
5438 | /* truncate negatives toward minus infinity */ | |
5439 | isitneg: | |
5440 | ||
177b41eb | 5441 | if ((UEMUSHORT) expon & (UEMUSHORT) 0x8000) |
985b6196 RS |
5442 | { |
5443 | for (i = 0; i < NE - 1; i++) | |
5444 | { | |
5445 | if (f[i] != y[i]) | |
5446 | { | |
5447 | esub (eone, y, y); | |
5448 | break; | |
5449 | } | |
5450 | } | |
5451 | } | |
5452 | } | |
5453 | ||
5454 | ||
8468c4a4 | 5455 | #if 0 |
8c35bbc5 RK |
5456 | /* Return S and EXP such that S * 2^EXP = X and .5 <= S < 1. |
5457 | For example, 1.1 = 0.55 * 2^1. */ | |
a0353055 | 5458 | |
b6ca239d | 5459 | static void |
985b6196 | 5460 | efrexp (x, exp, s) |
0c5d8c82 | 5461 | const UEMUSHORT x[]; |
985b6196 | 5462 | int *exp; |
177b41eb | 5463 | UEMUSHORT s[]; |
985b6196 | 5464 | { |
177b41eb | 5465 | UEMUSHORT xi[NI]; |
985b6196 RS |
5466 | EMULONG li; |
5467 | ||
5468 | emovi (x, xi); | |
8c35bbc5 | 5469 | /* Handle denormalized numbers properly using long integer exponent. */ |
985b6196 RS |
5470 | li = (EMULONG) ((EMUSHORT) xi[1]); |
5471 | ||
5472 | if (li == 0) | |
5473 | { | |
5474 | li -= enormlz (xi); | |
5475 | } | |
5476 | xi[1] = 0x3ffe; | |
5477 | emovo (xi, s); | |
5478 | *exp = (int) (li - 0x3ffe); | |
5479 | } | |
8468c4a4 | 5480 | #endif |
985b6196 | 5481 | |
8c35bbc5 | 5482 | /* Return e type Y = X * 2^PWR2. */ |
a0353055 | 5483 | |
b6ca239d | 5484 | static void |
985b6196 | 5485 | eldexp (x, pwr2, y) |
0c5d8c82 | 5486 | const UEMUSHORT x[]; |
985b6196 | 5487 | int pwr2; |
177b41eb | 5488 | UEMUSHORT y[]; |
985b6196 | 5489 | { |
177b41eb | 5490 | UEMUSHORT xi[NI]; |
985b6196 RS |
5491 | EMULONG li; |
5492 | int i; | |
5493 | ||
5494 | emovi (x, xi); | |
5495 | li = xi[1]; | |
5496 | li += pwr2; | |
5497 | i = 0; | |
3fcaac1d | 5498 | emdnorm (xi, i, i, li, !ROUND_TOWARDS_ZERO); |
985b6196 RS |
5499 | emovo (xi, y); |
5500 | } | |
5501 | ||
5502 | ||
8468c4a4 | 5503 | #if 0 |
8c35bbc5 RK |
5504 | /* C = remainder after dividing B by A, all e type values. |
5505 | Least significant integer quotient bits left in EQUOT. */ | |
a0353055 | 5506 | |
b6ca239d | 5507 | static void |
985b6196 | 5508 | eremain (a, b, c) |
0c5d8c82 KG |
5509 | const UEMUSHORT a[], b[]; |
5510 | UEMUSHORT c[]; | |
985b6196 | 5511 | { |
177b41eb | 5512 | UEMUSHORT den[NI], num[NI]; |
985b6196 | 5513 | |
66b6d60b | 5514 | #ifdef NANS |
242cef1e RS |
5515 | if (eisinf (b) |
5516 | || (ecmp (a, ezero) == 0) | |
5517 | || eisnan (a) | |
5518 | || eisnan (b)) | |
66b6d60b | 5519 | { |
29e11dab | 5520 | enan (c, 0); |
66b6d60b RS |
5521 | return; |
5522 | } | |
5523 | #endif | |
985b6196 RS |
5524 | if (ecmp (a, ezero) == 0) |
5525 | { | |
5526 | mtherr ("eremain", SING); | |
5527 | eclear (c); | |
5528 | return; | |
5529 | } | |
5530 | emovi (a, den); | |
5531 | emovi (b, num); | |
5532 | eiremain (den, num); | |
5533 | /* Sign of remainder = sign of quotient */ | |
5534 | if (a[0] == b[0]) | |
5535 | num[0] = 0; | |
5536 | else | |
5537 | num[0] = 0xffff; | |
5538 | emovo (num, c); | |
5539 | } | |
8468c4a4 | 5540 | #endif |
985b6196 | 5541 | |
8c35bbc5 RK |
5542 | /* Return quotient of exploded e-types NUM / DEN in EQUOT, |
5543 | remainder in NUM. */ | |
5544 | ||
b6ca239d | 5545 | static void |
985b6196 | 5546 | eiremain (den, num) |
177b41eb | 5547 | UEMUSHORT den[], num[]; |
985b6196 RS |
5548 | { |
5549 | EMULONG ld, ln; | |
177b41eb | 5550 | UEMUSHORT j; |
985b6196 RS |
5551 | |
5552 | ld = den[E]; | |
5553 | ld -= enormlz (den); | |
5554 | ln = num[E]; | |
5555 | ln -= enormlz (num); | |
5556 | ecleaz (equot); | |
5557 | while (ln >= ld) | |
5558 | { | |
5559 | if (ecmpm (den, num) <= 0) | |
5560 | { | |
5561 | esubm (den, num); | |
5562 | j = 1; | |
5563 | } | |
5564 | else | |
985b6196 | 5565 | j = 0; |
985b6196 RS |
5566 | eshup1 (equot); |
5567 | equot[NI - 1] |= j; | |
5568 | eshup1 (num); | |
5569 | ln -= 1; | |
5570 | } | |
5571 | emdnorm (num, 0, 0, ln, 0); | |
5572 | } | |
5573 | ||
8c35bbc5 | 5574 | /* Report an error condition CODE encountered in function NAME. |
defb5dab RK |
5575 | |
5576 | Mnemonic Value Significance | |
b6ca239d | 5577 | |
defb5dab RK |
5578 | DOMAIN 1 argument domain error |
5579 | SING 2 function singularity | |
5580 | OVERFLOW 3 overflow range error | |
5581 | UNDERFLOW 4 underflow range error | |
5582 | TLOSS 5 total loss of precision | |
5583 | PLOSS 6 partial loss of precision | |
5584 | INVALID 7 NaN - producing operation | |
5585 | EDOM 33 Unix domain error code | |
5586 | ERANGE 34 Unix range error code | |
b6ca239d | 5587 | |
8c35bbc5 | 5588 | The order of appearance of the following messages is bound to the |
defb5dab | 5589 | error codes defined above. */ |
985b6196 | 5590 | |
985b6196 RS |
5591 | int merror = 0; |
5592 | extern int merror; | |
5593 | ||
b6ca239d | 5594 | static void |
985b6196 | 5595 | mtherr (name, code) |
dff01034 | 5596 | const char *name; |
985b6196 RS |
5597 | int code; |
5598 | { | |
8c35bbc5 | 5599 | /* The string passed by the calling program is supposed to be the |
defb5dab | 5600 | name of the function in which the error occurred. |
8c35bbc5 | 5601 | The code argument selects which error message string will be printed. */ |
985b6196 | 5602 | |
7735516c GK |
5603 | if (strcmp (name, "esub") == 0) |
5604 | name = "subtraction"; | |
5605 | else if (strcmp (name, "ediv") == 0) | |
5606 | name = "division"; | |
5607 | else if (strcmp (name, "emul") == 0) | |
5608 | name = "multiplication"; | |
5609 | else if (strcmp (name, "enormlz") == 0) | |
5610 | name = "normalization"; | |
5611 | else if (strcmp (name, "etoasc") == 0) | |
5612 | name = "conversion to text"; | |
5613 | else if (strcmp (name, "asctoe") == 0) | |
5614 | name = "parsing"; | |
5615 | else if (strcmp (name, "eremain") == 0) | |
5616 | name = "modulus"; | |
5617 | else if (strcmp (name, "esqrt") == 0) | |
5618 | name = "square root"; | |
64685ffa | 5619 | if (extra_warnings) |
ab87f8c8 JL |
5620 | { |
5621 | switch (code) | |
5622 | { | |
5623 | case DOMAIN: warning ("%s: argument domain error" , name); break; | |
5624 | case SING: warning ("%s: function singularity" , name); break; | |
5625 | case OVERFLOW: warning ("%s: overflow range error" , name); break; | |
5626 | case UNDERFLOW: warning ("%s: underflow range error" , name); break; | |
5627 | case TLOSS: warning ("%s: total loss of precision" , name); break; | |
5628 | case PLOSS: warning ("%s: partial loss of precision", name); break; | |
5629 | case INVALID: warning ("%s: NaN - producing operation", name); break; | |
5630 | default: abort (); | |
5631 | } | |
5632 | } | |
5633 | ||
985b6196 RS |
5634 | /* Set global error message word */ |
5635 | merror = code + 1; | |
985b6196 RS |
5636 | } |
5637 | ||
842fbaaa | 5638 | #ifdef DEC |
8c35bbc5 | 5639 | /* Convert DEC double precision D to e type E. */ |
a0353055 | 5640 | |
b6ca239d | 5641 | static void |
985b6196 | 5642 | dectoe (d, e) |
0c5d8c82 | 5643 | const UEMUSHORT *d; |
177b41eb | 5644 | UEMUSHORT *e; |
985b6196 | 5645 | { |
45e574d0 JDA |
5646 | if (TARGET_G_FLOAT) |
5647 | ieeetoe (d, e, &dec_g); | |
5648 | else | |
5649 | ieeetoe (d, e, &dec_d); | |
985b6196 RS |
5650 | } |
5651 | ||
8c35bbc5 | 5652 | /* Convert e type X to DEC double precision D. */ |
985b6196 | 5653 | |
b6ca239d | 5654 | static void |
985b6196 | 5655 | etodec (x, d) |
0c5d8c82 KG |
5656 | const UEMUSHORT *x; |
5657 | UEMUSHORT *d; | |
985b6196 | 5658 | { |
177b41eb | 5659 | UEMUSHORT xi[NI]; |
842fbaaa JW |
5660 | EMULONG exp; |
5661 | int rndsav; | |
45e574d0 JDA |
5662 | const struct ieee_format *fmt; |
5663 | ||
5664 | if (TARGET_G_FLOAT) | |
5665 | fmt = &dec_g; | |
5666 | else | |
5667 | fmt = &dec_d; | |
985b6196 RS |
5668 | |
5669 | emovi (x, xi); | |
8c35bbc5 | 5670 | /* Adjust exponent for offsets. */ |
45e574d0 | 5671 | exp = (EMULONG) xi[E] - fmt->adjustment; |
8c35bbc5 | 5672 | /* Round off to nearest or even. */ |
985b6196 | 5673 | rndsav = rndprc; |
45e574d0 | 5674 | rndprc = fmt->precision; |
3fcaac1d | 5675 | emdnorm (xi, 0, 0, exp, !ROUND_TOWARDS_ZERO); |
985b6196 RS |
5676 | rndprc = rndsav; |
5677 | todec (xi, d); | |
5678 | } | |
5679 | ||
8c35bbc5 RK |
5680 | /* Convert exploded e-type X, that has already been rounded to |
5681 | 56-bit precision, to DEC format double Y. */ | |
5682 | ||
b6ca239d | 5683 | static void |
985b6196 | 5684 | todec (x, y) |
177b41eb | 5685 | UEMUSHORT *x, *y; |
985b6196 | 5686 | { |
45e574d0 JDA |
5687 | if (TARGET_G_FLOAT) |
5688 | toieee (x, y, &dec_g); | |
5689 | else | |
5690 | toieee (x, y, &dec_d); | |
985b6196 | 5691 | } |
842fbaaa JW |
5692 | #endif /* DEC */ |
5693 | ||
5694 | #ifdef IBM | |
defb5dab | 5695 | /* Convert IBM single/double precision to e type. */ |
a0353055 | 5696 | |
b6ca239d | 5697 | static void |
842fbaaa | 5698 | ibmtoe (d, e, mode) |
0c5d8c82 | 5699 | const UEMUSHORT *d; |
177b41eb | 5700 | UEMUSHORT *e; |
842fbaaa JW |
5701 | enum machine_mode mode; |
5702 | { | |
177b41eb | 5703 | UEMUSHORT y[NI]; |
b3694847 | 5704 | UEMUSHORT r, *p; |
842fbaaa JW |
5705 | |
5706 | ecleaz (y); /* start with a zero */ | |
5707 | p = y; /* point to our number */ | |
5708 | r = *d; /* get IBM exponent word */ | |
5709 | if (*d & (unsigned int) 0x8000) | |
5710 | *p = 0xffff; /* fill in our sign */ | |
5711 | ++p; /* bump pointer to our exponent word */ | |
5712 | r &= 0x7f00; /* strip the sign bit */ | |
5713 | r >>= 6; /* shift exponent word down 6 bits */ | |
5714 | /* in fact shift by 8 right and 2 left */ | |
5715 | r += EXONE - (0x41 << 2); /* subtract IBM exponent offset */ | |
5716 | /* add our e type exponent offset */ | |
5717 | *p++ = r; /* to form our exponent */ | |
5718 | ||
5719 | *p++ = *d++ & 0xff; /* now do the high order mantissa */ | |
5720 | /* strip off the IBM exponent and sign bits */ | |
5721 | if (mode != SFmode) /* there are only 2 words in SFmode */ | |
5722 | { | |
5723 | *p++ = *d++; /* fill in the rest of our mantissa */ | |
5724 | *p++ = *d++; | |
5725 | } | |
5726 | *p = *d; | |
5727 | ||
5728 | if (y[M] == 0 && y[M+1] == 0 && y[M+2] == 0 && y[M+3] == 0) | |
5729 | y[0] = y[E] = 0; | |
5730 | else | |
5731 | y[E] -= 5 + enormlz (y); /* now normalise the mantissa */ | |
5732 | /* handle change in RADIX */ | |
5733 | emovo (y, e); | |
5734 | } | |
5735 | ||
985b6196 | 5736 | |
985b6196 | 5737 | |
defb5dab | 5738 | /* Convert e type to IBM single/double precision. */ |
842fbaaa | 5739 | |
b6ca239d | 5740 | static void |
842fbaaa | 5741 | etoibm (x, d, mode) |
0c5d8c82 KG |
5742 | const UEMUSHORT *x; |
5743 | UEMUSHORT *d; | |
842fbaaa JW |
5744 | enum machine_mode mode; |
5745 | { | |
177b41eb | 5746 | UEMUSHORT xi[NI]; |
842fbaaa JW |
5747 | EMULONG exp; |
5748 | int rndsav; | |
5749 | ||
5750 | emovi (x, xi); | |
5751 | exp = (EMULONG) xi[E] - (EXONE - (0x41 << 2)); /* adjust exponent for offsets */ | |
5752 | /* round off to nearest or even */ | |
5753 | rndsav = rndprc; | |
5754 | rndprc = 56; | |
3fcaac1d | 5755 | emdnorm (xi, 0, 0, exp, !ROUND_TOWARDS_ZERO); |
842fbaaa JW |
5756 | rndprc = rndsav; |
5757 | toibm (xi, d, mode); | |
5758 | } | |
5759 | ||
b6ca239d | 5760 | static void |
842fbaaa | 5761 | toibm (x, y, mode) |
177b41eb | 5762 | UEMUSHORT *x, *y; |
842fbaaa JW |
5763 | enum machine_mode mode; |
5764 | { | |
177b41eb RL |
5765 | UEMUSHORT i; |
5766 | UEMUSHORT *p; | |
842fbaaa JW |
5767 | int r; |
5768 | ||
5769 | p = x; | |
5770 | *y = 0; | |
5771 | if (*p++) | |
5772 | *y = 0x8000; | |
5773 | i = *p++; | |
5774 | if (i == 0) | |
5775 | { | |
5776 | *y++ = 0; | |
5777 | *y++ = 0; | |
5778 | if (mode != SFmode) | |
5779 | { | |
5780 | *y++ = 0; | |
5781 | *y++ = 0; | |
5782 | } | |
5783 | return; | |
5784 | } | |
5785 | r = i & 0x3; | |
5786 | i >>= 2; | |
5787 | if (i > 0x7f) | |
5788 | { | |
5789 | *y++ |= 0x7fff; | |
5790 | *y++ = 0xffff; | |
5791 | if (mode != SFmode) | |
5792 | { | |
5793 | *y++ = 0xffff; | |
5794 | *y++ = 0xffff; | |
5795 | } | |
5796 | #ifdef ERANGE | |
5797 | errno = ERANGE; | |
5798 | #endif | |
5799 | return; | |
5800 | } | |
5801 | i &= 0x7f; | |
5802 | *y |= (i << 8); | |
5803 | eshift (x, r + 5); | |
5804 | *y++ |= x[M]; | |
5805 | *y++ = x[M + 1]; | |
5806 | if (mode != SFmode) | |
5807 | { | |
5808 | *y++ = x[M + 2]; | |
5809 | *y++ = x[M + 3]; | |
5810 | } | |
5811 | } | |
5812 | #endif /* IBM */ | |
66b6d60b | 5813 | |
f5963e61 JL |
5814 | |
5815 | #ifdef C4X | |
5816 | /* Convert C4X single/double precision to e type. */ | |
5817 | ||
b6ca239d | 5818 | static void |
f5963e61 | 5819 | c4xtoe (d, e, mode) |
0c5d8c82 | 5820 | const UEMUSHORT *d; |
177b41eb | 5821 | UEMUSHORT *e; |
f5963e61 JL |
5822 | enum machine_mode mode; |
5823 | { | |
177b41eb | 5824 | UEMUSHORT y[NI]; |
bdca3c33 | 5825 | UEMUSHORT dn[4]; |
f5963e61 | 5826 | int r; |
f5963e61 JL |
5827 | int isnegative; |
5828 | int size; | |
5829 | int i; | |
5830 | int carry; | |
5831 | ||
bdca3c33 HB |
5832 | dn[0] = d[0]; |
5833 | dn[1] = d[1]; | |
5834 | if (mode != QFmode) | |
5835 | { | |
5836 | dn[2] = d[3] << 8; | |
5837 | dn[3] = 0; | |
5838 | } | |
5839 | ||
dc297297 | 5840 | /* Short-circuit the zero case. */ |
bdca3c33 HB |
5841 | if ((dn[0] == 0x8000) |
5842 | && (dn[1] == 0x0000) | |
5843 | && ((mode == QFmode) || ((dn[2] == 0x0000) && (dn[3] == 0x0000)))) | |
f5963e61 JL |
5844 | { |
5845 | e[0] = 0; | |
5846 | e[1] = 0; | |
5847 | e[2] = 0; | |
5848 | e[3] = 0; | |
5849 | e[4] = 0; | |
5850 | e[5] = 0; | |
5851 | return; | |
5852 | } | |
5853 | ||
5854 | ecleaz (y); /* start with a zero */ | |
bdca3c33 | 5855 | r = dn[0]; /* get sign/exponent part */ |
f5963e61 | 5856 | if (r & (unsigned int) 0x0080) |
bdca3c33 HB |
5857 | { |
5858 | y[0] = 0xffff; /* fill in our sign */ | |
5859 | isnegative = TRUE; | |
5860 | } | |
f5963e61 | 5861 | else |
bdca3c33 | 5862 | isnegative = FALSE; |
b6ca239d | 5863 | |
f5963e61 | 5864 | r >>= 8; /* Shift exponent word down 8 bits. */ |
dc297297 | 5865 | if (r & 0x80) /* Make the exponent negative if it is. */ |
bdca3c33 | 5866 | r = r | (~0 & ~0xff); |
f5963e61 JL |
5867 | |
5868 | if (isnegative) | |
bdca3c33 HB |
5869 | { |
5870 | /* Now do the high order mantissa. We don't "or" on the high bit | |
5871 | because it is 2 (not 1) and is handled a little differently | |
5872 | below. */ | |
5873 | y[M] = dn[0] & 0x7f; | |
f5963e61 | 5874 | |
bdca3c33 HB |
5875 | y[M+1] = dn[1]; |
5876 | if (mode != QFmode) /* There are only 2 words in QFmode. */ | |
a6a2274a | 5877 | { |
bdca3c33 HB |
5878 | y[M+2] = dn[2]; /* Fill in the rest of our mantissa. */ |
5879 | y[M+3] = dn[3]; | |
5880 | size = 4; | |
a6a2274a | 5881 | } |
bdca3c33 | 5882 | else |
f5963e61 | 5883 | size = 2; |
8e2e89f7 | 5884 | eshift (y, -8); |
f5963e61 | 5885 | |
bdca3c33 | 5886 | /* Now do the two's complement on the data. */ |
f5963e61 | 5887 | |
bdca3c33 HB |
5888 | carry = 1; /* Initially add 1 for the two's complement. */ |
5889 | for (i=size + M; i > M; i--) | |
a6a2274a | 5890 | { |
bdca3c33 HB |
5891 | if (carry && (y[i] == 0x0000)) |
5892 | /* We overflowed into the next word, carry is the same. */ | |
5893 | y[i] = carry ? 0x0000 : 0xffff; | |
5894 | else | |
5895 | { | |
5896 | /* No overflow, just invert and add carry. */ | |
5897 | y[i] = ((~y[i]) + carry) & 0xffff; | |
5898 | carry = 0; | |
5899 | } | |
a6a2274a | 5900 | } |
bdca3c33 HB |
5901 | |
5902 | if (carry) | |
a6a2274a | 5903 | { |
8e2e89f7 | 5904 | eshift (y, -1); |
bdca3c33 HB |
5905 | y[M+1] |= 0x8000; |
5906 | r++; | |
a6a2274a | 5907 | } |
bdca3c33 HB |
5908 | y[1] = r + EXONE; |
5909 | } | |
f5963e61 | 5910 | else |
bdca3c33 HB |
5911 | { |
5912 | /* Add our e type exponent offset to form our exponent. */ | |
5913 | r += EXONE; | |
5914 | y[1] = r; | |
f5963e61 JL |
5915 | |
5916 | /* Now do the high order mantissa strip off the exponent and sign | |
5917 | bits and add the high 1 bit. */ | |
bdca3c33 | 5918 | y[M] = (dn[0] & 0x7f) | 0x80; |
f5963e61 | 5919 | |
bdca3c33 | 5920 | y[M+1] = dn[1]; |
f5963e61 | 5921 | if (mode != QFmode) /* There are only 2 words in QFmode. */ |
bdca3c33 HB |
5922 | { |
5923 | y[M+2] = dn[2]; /* Fill in the rest of our mantissa. */ | |
5924 | y[M+3] = dn[3]; | |
5925 | } | |
8e2e89f7 | 5926 | eshift (y, -8); |
bdca3c33 | 5927 | } |
f5963e61 JL |
5928 | |
5929 | emovo (y, e); | |
5930 | } | |
5931 | ||
5932 | ||
5933 | /* Convert e type to C4X single/double precision. */ | |
5934 | ||
b6ca239d | 5935 | static void |
f5963e61 | 5936 | etoc4x (x, d, mode) |
0c5d8c82 KG |
5937 | const UEMUSHORT *x; |
5938 | UEMUSHORT *d; | |
f5963e61 JL |
5939 | enum machine_mode mode; |
5940 | { | |
177b41eb | 5941 | UEMUSHORT xi[NI]; |
f5963e61 JL |
5942 | EMULONG exp; |
5943 | int rndsav; | |
5944 | ||
5945 | emovi (x, xi); | |
5946 | ||
dc297297 | 5947 | /* Adjust exponent for offsets. */ |
f5963e61 JL |
5948 | exp = (EMULONG) xi[E] - (EXONE - 0x7f); |
5949 | ||
dc297297 | 5950 | /* Round off to nearest or even. */ |
f5963e61 JL |
5951 | rndsav = rndprc; |
5952 | rndprc = mode == QFmode ? 24 : 32; | |
3fcaac1d | 5953 | emdnorm (xi, 0, 0, exp, !ROUND_TOWARDS_ZERO); |
f5963e61 JL |
5954 | rndprc = rndsav; |
5955 | toc4x (xi, d, mode); | |
5956 | } | |
5957 | ||
b6ca239d | 5958 | static void |
f5963e61 | 5959 | toc4x (x, y, mode) |
177b41eb | 5960 | UEMUSHORT *x, *y; |
f5963e61 JL |
5961 | enum machine_mode mode; |
5962 | { | |
5963 | int i; | |
f5963e61 JL |
5964 | int v; |
5965 | int carry; | |
b6ca239d | 5966 | |
f5963e61 JL |
5967 | /* Short-circuit the zero case */ |
5968 | if ((x[0] == 0) /* Zero exponent and sign */ | |
5969 | && (x[1] == 0) | |
5970 | && (x[M] == 0) /* The rest is for zero mantissa */ | |
5971 | && (x[M+1] == 0) | |
5972 | /* Only check for double if necessary */ | |
5973 | && ((mode == QFmode) || ((x[M+2] == 0) && (x[M+3] == 0)))) | |
5974 | { | |
dc297297 | 5975 | /* We have a zero. Put it into the output and return. */ |
f5963e61 JL |
5976 | *y++ = 0x8000; |
5977 | *y++ = 0x0000; | |
5978 | if (mode != QFmode) | |
a6a2274a KH |
5979 | { |
5980 | *y++ = 0x0000; | |
5981 | *y++ = 0x0000; | |
5982 | } | |
f5963e61 JL |
5983 | return; |
5984 | } | |
b6ca239d | 5985 | |
f5963e61 | 5986 | *y = 0; |
b6ca239d | 5987 | |
f5963e61 | 5988 | /* Negative number require a two's complement conversion of the |
dc297297 | 5989 | mantissa. */ |
f5963e61 JL |
5990 | if (x[0]) |
5991 | { | |
5992 | *y = 0x0080; | |
b6ca239d | 5993 | |
f5963e61 | 5994 | i = ((int) x[1]) - 0x7f; |
b6ca239d | 5995 | |
dc297297 | 5996 | /* Now add 1 to the inverted data to do the two's complement. */ |
f5963e61 JL |
5997 | if (mode != QFmode) |
5998 | v = 4 + M; | |
5999 | else | |
6000 | v = 2 + M; | |
6001 | carry = 1; | |
6002 | while (v > M) | |
6003 | { | |
6004 | if (x[v] == 0x0000) | |
bdca3c33 | 6005 | x[v] = carry ? 0x0000 : 0xffff; |
f5963e61 JL |
6006 | else |
6007 | { | |
6008 | x[v] = ((~x[v]) + carry) & 0xffff; | |
6009 | carry = 0; | |
6010 | } | |
6011 | v--; | |
6012 | } | |
b6ca239d | 6013 | |
f5963e61 JL |
6014 | /* The following is a special case. The C4X negative float requires |
6015 | a zero in the high bit (because the format is (2 - x) x 2^m), so | |
6016 | if a one is in that bit, we have to shift left one to get rid | |
dc297297 | 6017 | of it. This only occurs if the number is -1 x 2^m. */ |
f5963e61 JL |
6018 | if (x[M+1] & 0x8000) |
6019 | { | |
6020 | /* This is the case of -1 x 2^m, we have to rid ourselves of the | |
dc297297 | 6021 | high sign bit and shift the exponent. */ |
8e2e89f7 | 6022 | eshift (x, 1); |
f5963e61 JL |
6023 | i--; |
6024 | } | |
6025 | } | |
6026 | else | |
bdca3c33 | 6027 | i = ((int) x[1]) - 0x7f; |
f5963e61 JL |
6028 | |
6029 | if ((i < -128) || (i > 127)) | |
6030 | { | |
6031 | y[0] |= 0xff7f; | |
6032 | y[1] = 0xffff; | |
6033 | if (mode != QFmode) | |
6034 | { | |
6035 | y[2] = 0xffff; | |
6036 | y[3] = 0xffff; | |
bdca3c33 HB |
6037 | y[3] = (y[1] << 8) | ((y[2] >> 8) & 0xff); |
6038 | y[2] = (y[0] << 8) | ((y[1] >> 8) & 0xff); | |
f5963e61 JL |
6039 | } |
6040 | #ifdef ERANGE | |
6041 | errno = ERANGE; | |
6042 | #endif | |
6043 | return; | |
6044 | } | |
b6ca239d | 6045 | |
f5963e61 | 6046 | y[0] |= ((i & 0xff) << 8); |
b6ca239d | 6047 | |
f5963e61 | 6048 | eshift (x, 8); |
b6ca239d | 6049 | |
f5963e61 JL |
6050 | y[0] |= x[M] & 0x7f; |
6051 | y[1] = x[M + 1]; | |
6052 | if (mode != QFmode) | |
6053 | { | |
6054 | y[2] = x[M + 2]; | |
6055 | y[3] = x[M + 3]; | |
bdca3c33 HB |
6056 | y[3] = (y[1] << 8) | ((y[2] >> 8) & 0xff); |
6057 | y[2] = (y[0] << 8) | ((y[1] >> 8) & 0xff); | |
f5963e61 JL |
6058 | } |
6059 | } | |
6060 | #endif /* C4X */ | |
6061 | ||
66b6d60b RS |
6062 | /* Output a binary NaN bit pattern in the target machine's format. */ |
6063 | ||
6064 | /* If special NaN bit patterns are required, define them in tm.h | |
6065 | as arrays of unsigned 16-bit shorts. Otherwise, use the default | |
0f41302f | 6066 | patterns here. */ |
7729f1ca RS |
6067 | #ifdef TFMODE_NAN |
6068 | TFMODE_NAN; | |
6069 | #else | |
d71f7700 | 6070 | #if defined (IEEE) && (INTEL_EXTENDED_IEEE_FORMAT == 0) |
0c5d8c82 | 6071 | static const UEMUSHORT TFbignan[8] = |
66b6d60b | 6072 | {0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}; |
0c5d8c82 | 6073 | static const UEMUSHORT TFlittlenan[8] = {0, 0, 0, 0, 0, 0, 0x8000, 0xffff}; |
66b6d60b RS |
6074 | #endif |
6075 | #endif | |
6076 | ||
7729f1ca RS |
6077 | #ifdef XFMODE_NAN |
6078 | XFMODE_NAN; | |
6079 | #else | |
f76b9db2 | 6080 | #ifdef IEEE |
0c5d8c82 | 6081 | static const UEMUSHORT XFbignan[6] = |
f76b9db2 | 6082 | {0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}; |
0c5d8c82 | 6083 | static const UEMUSHORT XFlittlenan[6] = {0, 0, 0, 0xc000, 0xffff, 0}; |
66b6d60b RS |
6084 | #endif |
6085 | #endif | |
6086 | ||
7729f1ca RS |
6087 | #ifdef DFMODE_NAN |
6088 | DFMODE_NAN; | |
6089 | #else | |
f76b9db2 | 6090 | #ifdef IEEE |
0c5d8c82 KG |
6091 | static const UEMUSHORT DFbignan[4] = {0x7fff, 0xffff, 0xffff, 0xffff}; |
6092 | static const UEMUSHORT DFlittlenan[4] = {0, 0, 0, 0xfff8}; | |
66b6d60b RS |
6093 | #endif |
6094 | #endif | |
6095 | ||
7729f1ca RS |
6096 | #ifdef SFMODE_NAN |
6097 | SFMODE_NAN; | |
6098 | #else | |
f76b9db2 | 6099 | #ifdef IEEE |
0c5d8c82 KG |
6100 | static const UEMUSHORT SFbignan[2] = {0x7fff, 0xffff}; |
6101 | static const UEMUSHORT SFlittlenan[2] = {0, 0xffc0}; | |
66b6d60b RS |
6102 | #endif |
6103 | #endif | |
6104 | ||
6105 | ||
b42b4d2c | 6106 | #ifdef NANS |
a0353055 | 6107 | static void |
29e11dab | 6108 | make_nan (nan, sign, mode) |
177b41eb | 6109 | UEMUSHORT *nan; |
a0353055 RK |
6110 | int sign; |
6111 | enum machine_mode mode; | |
66b6d60b | 6112 | { |
29e11dab | 6113 | int n; |
0c5d8c82 | 6114 | const UEMUSHORT *p; |
3fcaac1d | 6115 | int size; |
66b6d60b | 6116 | |
3fcaac1d RS |
6117 | size = GET_MODE_BITSIZE (mode); |
6118 | if (LARGEST_EXPONENT_IS_NORMAL (size)) | |
6119 | { | |
6120 | warning ("%d-bit floats cannot hold NaNs", size); | |
6121 | saturate (nan, sign, size, 0); | |
6122 | return; | |
6123 | } | |
66b6d60b RS |
6124 | switch (mode) |
6125 | { | |
6126 | /* Possibly the `reserved operand' patterns on a VAX can be | |
0f41302f | 6127 | used like NaN's, but probably not in the same way as IEEE. */ |
f5963e61 | 6128 | #if !defined(DEC) && !defined(IBM) && !defined(C4X) |
66b6d60b | 6129 | case TFmode: |
23c108af | 6130 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
66b6d60b | 6131 | n = 8; |
8c35bbc5 | 6132 | if (REAL_WORDS_BIG_ENDIAN) |
f76b9db2 ILT |
6133 | p = TFbignan; |
6134 | else | |
6135 | p = TFlittlenan; | |
66b6d60b | 6136 | break; |
3f622353 RH |
6137 | #endif |
6138 | /* FALLTHRU */ | |
f5963e61 | 6139 | |
66b6d60b RS |
6140 | case XFmode: |
6141 | n = 6; | |
8c35bbc5 | 6142 | if (REAL_WORDS_BIG_ENDIAN) |
f76b9db2 ILT |
6143 | p = XFbignan; |
6144 | else | |
6145 | p = XFlittlenan; | |
66b6d60b | 6146 | break; |
f5963e61 | 6147 | |
66b6d60b RS |
6148 | case DFmode: |
6149 | n = 4; | |
8c35bbc5 | 6150 | if (REAL_WORDS_BIG_ENDIAN) |
f76b9db2 ILT |
6151 | p = DFbignan; |
6152 | else | |
6153 | p = DFlittlenan; | |
66b6d60b | 6154 | break; |
f5963e61 | 6155 | |
66b6d60b | 6156 | case SFmode: |
f5963e61 | 6157 | case HFmode: |
66b6d60b | 6158 | n = 2; |
8c35bbc5 | 6159 | if (REAL_WORDS_BIG_ENDIAN) |
f76b9db2 ILT |
6160 | p = SFbignan; |
6161 | else | |
6162 | p = SFlittlenan; | |
66b6d60b RS |
6163 | break; |
6164 | #endif | |
f5963e61 | 6165 | |
66b6d60b RS |
6166 | default: |
6167 | abort (); | |
6168 | } | |
8c35bbc5 | 6169 | if (REAL_WORDS_BIG_ENDIAN) |
a46f03ea | 6170 | *nan++ = (sign << 15) | (*p++ & 0x7fff); |
29e11dab | 6171 | while (--n != 0) |
66b6d60b | 6172 | *nan++ = *p++; |
8c35bbc5 | 6173 | if (! REAL_WORDS_BIG_ENDIAN) |
a46f03ea | 6174 | *nan = (sign << 15) | (*p & 0x7fff); |
66b6d60b | 6175 | } |
b42b4d2c | 6176 | #endif /* NANS */ |
66b6d60b | 6177 | |
3fcaac1d RS |
6178 | |
6179 | /* Create a saturation value for a SIZE-bit float, assuming that | |
6180 | LARGEST_EXPONENT_IS_NORMAL (SIZE). | |
6181 | ||
6182 | If SIGN is true, fill X with the most negative value, otherwise fill | |
6183 | it with the most positive value. WARN is true if the function should | |
6184 | warn about overflow. */ | |
6185 | ||
6186 | static void | |
6187 | saturate (x, sign, size, warn) | |
6188 | UEMUSHORT *x; | |
6189 | int sign, size, warn; | |
6190 | { | |
6191 | int i; | |
6192 | ||
6193 | if (warn && extra_warnings) | |
6194 | warning ("value exceeds the range of a %d-bit float", size); | |
6195 | ||
6196 | /* Create the most negative value. */ | |
6197 | for (i = 0; i < size / EMUSHORT_SIZE; i++) | |
6198 | x[i] = 0xffff; | |
6199 | ||
6200 | /* Make it positive, if necessary. */ | |
6201 | if (!sign) | |
6202 | x[REAL_WORDS_BIG_ENDIAN? 0 : i - 1] = 0x7fff; | |
6203 | } | |
6204 | ||
6205 | ||
7bb6fbd1 | 6206 | /* This is the inverse of the function `etarsingle' invoked by |
b31c244f RS |
6207 | REAL_VALUE_TO_TARGET_SINGLE. */ |
6208 | ||
7bb6fbd1 JL |
6209 | REAL_VALUE_TYPE |
6210 | ereal_unto_float (f) | |
6211 | long f; | |
6212 | { | |
6213 | REAL_VALUE_TYPE r; | |
177b41eb RL |
6214 | UEMUSHORT s[2]; |
6215 | UEMUSHORT e[NE]; | |
7bb6fbd1 JL |
6216 | |
6217 | /* Convert 32 bit integer to array of 16 bit pieces in target machine order. | |
6218 | This is the inverse operation to what the function `endian' does. */ | |
6219 | if (REAL_WORDS_BIG_ENDIAN) | |
6220 | { | |
177b41eb RL |
6221 | s[0] = (UEMUSHORT) (f >> 16); |
6222 | s[1] = (UEMUSHORT) f; | |
7bb6fbd1 JL |
6223 | } |
6224 | else | |
6225 | { | |
177b41eb RL |
6226 | s[0] = (UEMUSHORT) f; |
6227 | s[1] = (UEMUSHORT) (f >> 16); | |
7bb6fbd1 | 6228 | } |
dc297297 | 6229 | /* Convert and promote the target float to E-type. */ |
7bb6fbd1 | 6230 | e24toe (s, e); |
dc297297 | 6231 | /* Output E-type to REAL_VALUE_TYPE. */ |
7bb6fbd1 JL |
6232 | PUT_REAL (e, &r); |
6233 | return r; | |
6234 | } | |
6235 | ||
6236 | ||
6237 | /* This is the inverse of the function `etardouble' invoked by | |
6238 | REAL_VALUE_TO_TARGET_DOUBLE. */ | |
6239 | ||
6240 | REAL_VALUE_TYPE | |
6241 | ereal_unto_double (d) | |
6242 | long d[]; | |
6243 | { | |
6244 | REAL_VALUE_TYPE r; | |
177b41eb RL |
6245 | UEMUSHORT s[4]; |
6246 | UEMUSHORT e[NE]; | |
7bb6fbd1 JL |
6247 | |
6248 | /* Convert array of HOST_WIDE_INT to equivalent array of 16-bit pieces. */ | |
6249 | if (REAL_WORDS_BIG_ENDIAN) | |
6250 | { | |
177b41eb RL |
6251 | s[0] = (UEMUSHORT) (d[0] >> 16); |
6252 | s[1] = (UEMUSHORT) d[0]; | |
6253 | s[2] = (UEMUSHORT) (d[1] >> 16); | |
6254 | s[3] = (UEMUSHORT) d[1]; | |
7bb6fbd1 JL |
6255 | } |
6256 | else | |
6257 | { | |
6258 | /* Target float words are little-endian. */ | |
177b41eb RL |
6259 | s[0] = (UEMUSHORT) d[0]; |
6260 | s[1] = (UEMUSHORT) (d[0] >> 16); | |
6261 | s[2] = (UEMUSHORT) d[1]; | |
6262 | s[3] = (UEMUSHORT) (d[1] >> 16); | |
7bb6fbd1 | 6263 | } |
dc297297 | 6264 | /* Convert target double to E-type. */ |
7bb6fbd1 | 6265 | e53toe (s, e); |
dc297297 | 6266 | /* Output E-type to REAL_VALUE_TYPE. */ |
7bb6fbd1 JL |
6267 | PUT_REAL (e, &r); |
6268 | return r; | |
6269 | } | |
6270 | ||
6271 | ||
6272 | /* Convert an SFmode target `float' value to a REAL_VALUE_TYPE. | |
6273 | This is somewhat like ereal_unto_float, but the input types | |
6274 | for these are different. */ | |
6275 | ||
b31c244f RS |
6276 | REAL_VALUE_TYPE |
6277 | ereal_from_float (f) | |
04ae9e4c | 6278 | HOST_WIDE_INT f; |
b31c244f RS |
6279 | { |
6280 | REAL_VALUE_TYPE r; | |
177b41eb RL |
6281 | UEMUSHORT s[2]; |
6282 | UEMUSHORT e[NE]; | |
b31c244f RS |
6283 | |
6284 | /* Convert 32 bit integer to array of 16 bit pieces in target machine order. | |
6285 | This is the inverse operation to what the function `endian' does. */ | |
8c35bbc5 | 6286 | if (REAL_WORDS_BIG_ENDIAN) |
f76b9db2 | 6287 | { |
177b41eb RL |
6288 | s[0] = (UEMUSHORT) (f >> 16); |
6289 | s[1] = (UEMUSHORT) f; | |
f76b9db2 ILT |
6290 | } |
6291 | else | |
6292 | { | |
177b41eb RL |
6293 | s[0] = (UEMUSHORT) f; |
6294 | s[1] = (UEMUSHORT) (f >> 16); | |
f76b9db2 | 6295 | } |
0f41302f | 6296 | /* Convert and promote the target float to E-type. */ |
b31c244f | 6297 | e24toe (s, e); |
0f41302f | 6298 | /* Output E-type to REAL_VALUE_TYPE. */ |
b31c244f RS |
6299 | PUT_REAL (e, &r); |
6300 | return r; | |
6301 | } | |
6302 | ||
842fbaaa | 6303 | |
b31c244f | 6304 | /* Convert a DFmode target `double' value to a REAL_VALUE_TYPE. |
7bb6fbd1 JL |
6305 | This is somewhat like ereal_unto_double, but the input types |
6306 | for these are different. | |
b31c244f | 6307 | |
04ae9e4c RK |
6308 | The DFmode is stored as an array of HOST_WIDE_INT in the target's |
6309 | data format, with no holes in the bit packing. The first element | |
b31c244f RS |
6310 | of the input array holds the bits that would come first in the |
6311 | target computer's memory. */ | |
6312 | ||
6313 | REAL_VALUE_TYPE | |
6314 | ereal_from_double (d) | |
04ae9e4c | 6315 | HOST_WIDE_INT d[]; |
b31c244f RS |
6316 | { |
6317 | REAL_VALUE_TYPE r; | |
177b41eb RL |
6318 | UEMUSHORT s[4]; |
6319 | UEMUSHORT e[NE]; | |
b31c244f | 6320 | |
04ae9e4c | 6321 | /* Convert array of HOST_WIDE_INT to equivalent array of 16-bit pieces. */ |
8c35bbc5 | 6322 | if (REAL_WORDS_BIG_ENDIAN) |
f76b9db2 | 6323 | { |
8fc4af0f | 6324 | #if HOST_BITS_PER_WIDE_INT == 32 |
177b41eb RL |
6325 | s[0] = (UEMUSHORT) (d[0] >> 16); |
6326 | s[1] = (UEMUSHORT) d[0]; | |
6327 | s[2] = (UEMUSHORT) (d[1] >> 16); | |
6328 | s[3] = (UEMUSHORT) d[1]; | |
60e61165 | 6329 | #else |
f76b9db2 ILT |
6330 | /* In this case the entire target double is contained in the |
6331 | first array element. The second element of the input is | |
6332 | ignored. */ | |
177b41eb RL |
6333 | s[0] = (UEMUSHORT) (d[0] >> 48); |
6334 | s[1] = (UEMUSHORT) (d[0] >> 32); | |
6335 | s[2] = (UEMUSHORT) (d[0] >> 16); | |
6336 | s[3] = (UEMUSHORT) d[0]; | |
60e61165 | 6337 | #endif |
f76b9db2 ILT |
6338 | } |
6339 | else | |
6340 | { | |
6341 | /* Target float words are little-endian. */ | |
177b41eb RL |
6342 | s[0] = (UEMUSHORT) d[0]; |
6343 | s[1] = (UEMUSHORT) (d[0] >> 16); | |
60e61165 | 6344 | #if HOST_BITS_PER_WIDE_INT == 32 |
177b41eb RL |
6345 | s[2] = (UEMUSHORT) d[1]; |
6346 | s[3] = (UEMUSHORT) (d[1] >> 16); | |
60e61165 | 6347 | #else |
177b41eb RL |
6348 | s[2] = (UEMUSHORT) (d[0] >> 32); |
6349 | s[3] = (UEMUSHORT) (d[0] >> 48); | |
b31c244f | 6350 | #endif |
f76b9db2 | 6351 | } |
0f41302f | 6352 | /* Convert target double to E-type. */ |
b31c244f | 6353 | e53toe (s, e); |
0f41302f | 6354 | /* Output E-type to REAL_VALUE_TYPE. */ |
b31c244f RS |
6355 | PUT_REAL (e, &r); |
6356 | return r; | |
6357 | } | |
842fbaaa JW |
6358 | |
6359 | ||
8468c4a4 | 6360 | #if 0 |
b51ab098 RK |
6361 | /* Convert target computer unsigned 64-bit integer to e-type. |
6362 | The endian-ness of DImode follows the convention for integers, | |
8c35bbc5 | 6363 | so we use WORDS_BIG_ENDIAN here, not REAL_WORDS_BIG_ENDIAN. */ |
842fbaaa | 6364 | |
a0353055 | 6365 | static void |
842fbaaa | 6366 | uditoe (di, e) |
0c5d8c82 | 6367 | const UEMUSHORT *di; /* Address of the 64-bit int. */ |
177b41eb | 6368 | UEMUSHORT *e; |
842fbaaa | 6369 | { |
177b41eb | 6370 | UEMUSHORT yi[NI]; |
842fbaaa JW |
6371 | int k; |
6372 | ||
6373 | ecleaz (yi); | |
f76b9db2 ILT |
6374 | if (WORDS_BIG_ENDIAN) |
6375 | { | |
6376 | for (k = M; k < M + 4; k++) | |
6377 | yi[k] = *di++; | |
6378 | } | |
6379 | else | |
6380 | { | |
6381 | for (k = M + 3; k >= M; k--) | |
6382 | yi[k] = *di++; | |
6383 | } | |
842fbaaa JW |
6384 | yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */ |
6385 | if ((k = enormlz (yi)) > NBITS)/* normalize the significand */ | |
6386 | ecleaz (yi); /* it was zero */ | |
6387 | else | |
177b41eb | 6388 | yi[E] -= (UEMUSHORT) k;/* subtract shift count from exponent */ |
842fbaaa JW |
6389 | emovo (yi, e); |
6390 | } | |
6391 | ||
0f41302f | 6392 | /* Convert target computer signed 64-bit integer to e-type. */ |
842fbaaa | 6393 | |
a0353055 | 6394 | static void |
842fbaaa | 6395 | ditoe (di, e) |
0c5d8c82 | 6396 | const UEMUSHORT *di; /* Address of the 64-bit int. */ |
177b41eb | 6397 | UEMUSHORT *e; |
842fbaaa JW |
6398 | { |
6399 | unsigned EMULONG acc; | |
177b41eb RL |
6400 | UEMUSHORT yi[NI]; |
6401 | UEMUSHORT carry; | |
842fbaaa JW |
6402 | int k, sign; |
6403 | ||
6404 | ecleaz (yi); | |
f76b9db2 ILT |
6405 | if (WORDS_BIG_ENDIAN) |
6406 | { | |
6407 | for (k = M; k < M + 4; k++) | |
6408 | yi[k] = *di++; | |
6409 | } | |
6410 | else | |
6411 | { | |
6412 | for (k = M + 3; k >= M; k--) | |
6413 | yi[k] = *di++; | |
6414 | } | |
842fbaaa JW |
6415 | /* Take absolute value */ |
6416 | sign = 0; | |
6417 | if (yi[M] & 0x8000) | |
6418 | { | |
6419 | sign = 1; | |
6420 | carry = 0; | |
6421 | for (k = M + 3; k >= M; k--) | |
6422 | { | |
6423 | acc = (unsigned EMULONG) (~yi[k] & 0xffff) + carry; | |
6424 | yi[k] = acc; | |
6425 | carry = 0; | |
6426 | if (acc & 0x10000) | |
6427 | carry = 1; | |
6428 | } | |
6429 | } | |
6430 | yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */ | |
6431 | if ((k = enormlz (yi)) > NBITS)/* normalize the significand */ | |
6432 | ecleaz (yi); /* it was zero */ | |
6433 | else | |
177b41eb | 6434 | yi[E] -= (UEMUSHORT) k;/* subtract shift count from exponent */ |
842fbaaa JW |
6435 | emovo (yi, e); |
6436 | if (sign) | |
6437 | eneg (e); | |
6438 | } | |
6439 | ||
6440 | ||
0f41302f | 6441 | /* Convert e-type to unsigned 64-bit int. */ |
842fbaaa | 6442 | |
b6ca239d | 6443 | static void |
008f0d36 | 6444 | etoudi (x, i) |
0c5d8c82 | 6445 | const UEMUSHORT *x; |
177b41eb | 6446 | UEMUSHORT *i; |
842fbaaa | 6447 | { |
177b41eb | 6448 | UEMUSHORT xi[NI]; |
842fbaaa JW |
6449 | int j, k; |
6450 | ||
6451 | emovi (x, xi); | |
6452 | if (xi[0]) | |
6453 | { | |
6454 | xi[M] = 0; | |
6455 | goto noshift; | |
6456 | } | |
6457 | k = (int) xi[E] - (EXONE - 1); | |
6458 | if (k <= 0) | |
6459 | { | |
6460 | for (j = 0; j < 4; j++) | |
6461 | *i++ = 0; | |
6462 | return; | |
6463 | } | |
6464 | if (k > 64) | |
6465 | { | |
6466 | for (j = 0; j < 4; j++) | |
6467 | *i++ = 0xffff; | |
6468 | if (extra_warnings) | |
6469 | warning ("overflow on truncation to integer"); | |
6470 | return; | |
6471 | } | |
6472 | if (k > 16) | |
6473 | { | |
6474 | /* Shift more than 16 bits: first shift up k-16 mod 16, | |
6475 | then shift up by 16's. */ | |
6476 | j = k - ((k >> 4) << 4); | |
6477 | if (j == 0) | |
6478 | j = 16; | |
6479 | eshift (xi, j); | |
f76b9db2 ILT |
6480 | if (WORDS_BIG_ENDIAN) |
6481 | *i++ = xi[M]; | |
6482 | else | |
6483 | { | |
6484 | i += 3; | |
6485 | *i-- = xi[M]; | |
6486 | } | |
842fbaaa JW |
6487 | k -= j; |
6488 | do | |
6489 | { | |
6490 | eshup6 (xi); | |
f76b9db2 ILT |
6491 | if (WORDS_BIG_ENDIAN) |
6492 | *i++ = xi[M]; | |
6493 | else | |
6494 | *i-- = xi[M]; | |
842fbaaa JW |
6495 | } |
6496 | while ((k -= 16) > 0); | |
6497 | } | |
6498 | else | |
6499 | { | |
a6a2274a | 6500 | /* shift not more than 16 bits */ |
842fbaaa JW |
6501 | eshift (xi, k); |
6502 | ||
6503 | noshift: | |
6504 | ||
f76b9db2 ILT |
6505 | if (WORDS_BIG_ENDIAN) |
6506 | { | |
6507 | i += 3; | |
6508 | *i-- = xi[M]; | |
6509 | *i-- = 0; | |
6510 | *i-- = 0; | |
6511 | *i = 0; | |
6512 | } | |
6513 | else | |
6514 | { | |
6515 | *i++ = xi[M]; | |
6516 | *i++ = 0; | |
6517 | *i++ = 0; | |
6518 | *i = 0; | |
6519 | } | |
842fbaaa JW |
6520 | } |
6521 | } | |
6522 | ||
6523 | ||
0f41302f | 6524 | /* Convert e-type to signed 64-bit int. */ |
842fbaaa | 6525 | |
b6ca239d | 6526 | static void |
842fbaaa | 6527 | etodi (x, i) |
0c5d8c82 | 6528 | const UEMUSHORT *x; |
177b41eb | 6529 | UEMUSHORT *i; |
842fbaaa JW |
6530 | { |
6531 | unsigned EMULONG acc; | |
177b41eb RL |
6532 | UEMUSHORT xi[NI]; |
6533 | UEMUSHORT carry; | |
6534 | UEMUSHORT *isave; | |
842fbaaa JW |
6535 | int j, k; |
6536 | ||
6537 | emovi (x, xi); | |
6538 | k = (int) xi[E] - (EXONE - 1); | |
6539 | if (k <= 0) | |
6540 | { | |
6541 | for (j = 0; j < 4; j++) | |
6542 | *i++ = 0; | |
6543 | return; | |
6544 | } | |
6545 | if (k > 64) | |
6546 | { | |
6547 | for (j = 0; j < 4; j++) | |
6548 | *i++ = 0xffff; | |
6549 | if (extra_warnings) | |
6550 | warning ("overflow on truncation to integer"); | |
6551 | return; | |
6552 | } | |
6553 | isave = i; | |
6554 | if (k > 16) | |
6555 | { | |
6556 | /* Shift more than 16 bits: first shift up k-16 mod 16, | |
6557 | then shift up by 16's. */ | |
6558 | j = k - ((k >> 4) << 4); | |
6559 | if (j == 0) | |
6560 | j = 16; | |
6561 | eshift (xi, j); | |
f76b9db2 ILT |
6562 | if (WORDS_BIG_ENDIAN) |
6563 | *i++ = xi[M]; | |
6564 | else | |
6565 | { | |
6566 | i += 3; | |
6567 | *i-- = xi[M]; | |
6568 | } | |
842fbaaa JW |
6569 | k -= j; |
6570 | do | |
6571 | { | |
6572 | eshup6 (xi); | |
f76b9db2 ILT |
6573 | if (WORDS_BIG_ENDIAN) |
6574 | *i++ = xi[M]; | |
6575 | else | |
6576 | *i-- = xi[M]; | |
842fbaaa JW |
6577 | } |
6578 | while ((k -= 16) > 0); | |
6579 | } | |
6580 | else | |
6581 | { | |
a6a2274a | 6582 | /* shift not more than 16 bits */ |
842fbaaa JW |
6583 | eshift (xi, k); |
6584 | ||
f76b9db2 ILT |
6585 | if (WORDS_BIG_ENDIAN) |
6586 | { | |
6587 | i += 3; | |
6588 | *i = xi[M]; | |
6589 | *i-- = 0; | |
6590 | *i-- = 0; | |
6591 | *i = 0; | |
6592 | } | |
6593 | else | |
6594 | { | |
6595 | *i++ = xi[M]; | |
6596 | *i++ = 0; | |
6597 | *i++ = 0; | |
6598 | *i = 0; | |
6599 | } | |
842fbaaa JW |
6600 | } |
6601 | /* Negate if negative */ | |
6602 | if (xi[0]) | |
6603 | { | |
6604 | carry = 0; | |
f76b9db2 ILT |
6605 | if (WORDS_BIG_ENDIAN) |
6606 | isave += 3; | |
842fbaaa JW |
6607 | for (k = 0; k < 4; k++) |
6608 | { | |
6609 | acc = (unsigned EMULONG) (~(*isave) & 0xffff) + carry; | |
f76b9db2 ILT |
6610 | if (WORDS_BIG_ENDIAN) |
6611 | *isave-- = acc; | |
6612 | else | |
6613 | *isave++ = acc; | |
842fbaaa JW |
6614 | carry = 0; |
6615 | if (acc & 0x10000) | |
6616 | carry = 1; | |
6617 | } | |
6618 | } | |
6619 | } | |
6620 | ||
6621 | ||
0f41302f | 6622 | /* Longhand square root routine. */ |
842fbaaa JW |
6623 | |
6624 | ||
6625 | static int esqinited = 0; | |
6626 | static unsigned short sqrndbit[NI]; | |
6627 | ||
b6ca239d | 6628 | static void |
842fbaaa | 6629 | esqrt (x, y) |
0c5d8c82 KG |
6630 | const UEMUSHORT *x; |
6631 | UEMUSHORT *y; | |
842fbaaa | 6632 | { |
177b41eb | 6633 | UEMUSHORT temp[NI], num[NI], sq[NI], xx[NI]; |
842fbaaa JW |
6634 | EMULONG m, exp; |
6635 | int i, j, k, n, nlups; | |
6636 | ||
6637 | if (esqinited == 0) | |
6638 | { | |
6639 | ecleaz (sqrndbit); | |
6640 | sqrndbit[NI - 2] = 1; | |
6641 | esqinited = 1; | |
6642 | } | |
6643 | /* Check for arg <= 0 */ | |
6644 | i = ecmp (x, ezero); | |
6645 | if (i <= 0) | |
6646 | { | |
29e11dab | 6647 | if (i == -1) |
842fbaaa | 6648 | { |
29e11dab RK |
6649 | mtherr ("esqrt", DOMAIN); |
6650 | eclear (y); | |
842fbaaa | 6651 | } |
29e11dab RK |
6652 | else |
6653 | emov (x, y); | |
842fbaaa JW |
6654 | return; |
6655 | } | |
6656 | ||
6657 | #ifdef INFINITY | |
6658 | if (eisinf (x)) | |
6659 | { | |
6660 | eclear (y); | |
6661 | einfin (y); | |
6662 | return; | |
6663 | } | |
6664 | #endif | |
0f41302f | 6665 | /* Bring in the arg and renormalize if it is denormal. */ |
842fbaaa JW |
6666 | emovi (x, xx); |
6667 | m = (EMULONG) xx[1]; /* local long word exponent */ | |
6668 | if (m == 0) | |
6669 | m -= enormlz (xx); | |
6670 | ||
6671 | /* Divide exponent by 2 */ | |
6672 | m -= 0x3ffe; | |
6673 | exp = (unsigned short) ((m / 2) + 0x3ffe); | |
6674 | ||
6675 | /* Adjust if exponent odd */ | |
6676 | if ((m & 1) != 0) | |
6677 | { | |
6678 | if (m > 0) | |
6679 | exp += 1; | |
6680 | eshdn1 (xx); | |
6681 | } | |
6682 | ||
6683 | ecleaz (sq); | |
6684 | ecleaz (num); | |
6685 | n = 8; /* get 8 bits of result per inner loop */ | |
6686 | nlups = rndprc; | |
6687 | j = 0; | |
6688 | ||
6689 | while (nlups > 0) | |
6690 | { | |
6691 | /* bring in next word of arg */ | |
6692 | if (j < NE) | |
6693 | num[NI - 1] = xx[j + 3]; | |
0f41302f | 6694 | /* Do additional bit on last outer loop, for roundoff. */ |
842fbaaa JW |
6695 | if (nlups <= 8) |
6696 | n = nlups + 1; | |
6697 | for (i = 0; i < n; i++) | |
6698 | { | |
6699 | /* Next 2 bits of arg */ | |
6700 | eshup1 (num); | |
6701 | eshup1 (num); | |
6702 | /* Shift up answer */ | |
6703 | eshup1 (sq); | |
6704 | /* Make trial divisor */ | |
6705 | for (k = 0; k < NI; k++) | |
6706 | temp[k] = sq[k]; | |
6707 | eshup1 (temp); | |
6708 | eaddm (sqrndbit, temp); | |
6709 | /* Subtract and insert answer bit if it goes in */ | |
6710 | if (ecmpm (temp, num) <= 0) | |
6711 | { | |
6712 | esubm (temp, num); | |
6713 | sq[NI - 2] |= 1; | |
6714 | } | |
6715 | } | |
6716 | nlups -= n; | |
6717 | j += 1; | |
6718 | } | |
6719 | ||
0f41302f | 6720 | /* Adjust for extra, roundoff loop done. */ |
842fbaaa JW |
6721 | exp += (NBITS - 1) - rndprc; |
6722 | ||
0f41302f | 6723 | /* Sticky bit = 1 if the remainder is nonzero. */ |
842fbaaa JW |
6724 | k = 0; |
6725 | for (i = 3; i < NI; i++) | |
6726 | k |= (int) num[i]; | |
6727 | ||
0f41302f | 6728 | /* Renormalize and round off. */ |
3fcaac1d | 6729 | emdnorm (sq, k, 0, exp, !ROUND_TOWARDS_ZERO); |
842fbaaa JW |
6730 | emovo (sq, y); |
6731 | } | |
8468c4a4 | 6732 | #endif |
8ddae348 RK |
6733 | \f |
6734 | /* Return the binary precision of the significand for a given | |
6735 | floating point mode. The mode can hold an integer value | |
6736 | that many bits wide, without losing any bits. */ | |
6737 | ||
770ae6cc | 6738 | unsigned int |
8ddae348 RK |
6739 | significand_size (mode) |
6740 | enum machine_mode mode; | |
6741 | { | |
6742 | ||
45e574d0 JDA |
6743 | /* Don't test the modes, but their sizes, lest this |
6744 | code won't work for BITS_PER_UNIT != 8 . */ | |
de3a68a1 | 6745 | |
45e574d0 JDA |
6746 | switch (GET_MODE_BITSIZE (mode)) |
6747 | { | |
6748 | case 32: | |
b6ca239d | 6749 | |
45e574d0 JDA |
6750 | #ifdef C4X |
6751 | return 56; | |
6752 | #else | |
6753 | return 24; | |
f5963e61 JL |
6754 | #endif |
6755 | ||
45e574d0 JDA |
6756 | case 64: |
6757 | #ifdef IEEE | |
6758 | return 53; | |
8ddae348 | 6759 | #else |
45e574d0 | 6760 | return 56; |
8ddae348 RK |
6761 | #endif |
6762 | ||
45e574d0 JDA |
6763 | case 96: |
6764 | return 64; | |
280db205 | 6765 | |
45e574d0 | 6766 | case 128: |
23c108af | 6767 | #if (INTEL_EXTENDED_IEEE_FORMAT == 0) |
45e574d0 | 6768 | return 113; |
280db205 | 6769 | #else |
45e574d0 | 6770 | return 64; |
280db205 | 6771 | #endif |
8ddae348 | 6772 | |
45e574d0 JDA |
6773 | default: |
6774 | abort (); | |
6775 | } | |
8ddae348 | 6776 | } |