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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. |
29e11dab | 3 | Copyright (C) 1993, 1994 Free Software Foundation, Inc. |
c764eafd | 4 | Contributed by Stephen L. Moshier (moshier@world.std.com). |
985b6196 RS |
5 | |
6 | This file is part of GNU CC. | |
7 | ||
8 | GNU CC is free software; you can redistribute it and/or modify | |
9 | it under the terms of the GNU General Public License as published by | |
10 | the Free Software Foundation; either version 2, or (at your option) | |
11 | any later version. | |
12 | ||
13 | GNU CC is distributed in the hope that it will be useful, | |
14 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
15 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
16 | GNU General Public License for more details. | |
17 | ||
18 | You should have received a copy of the GNU General Public License | |
19 | along with GNU CC; see the file COPYING. If not, write to | |
20 | the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. */ | |
21 | ||
22 | #include <stdio.h> | |
64685ffa | 23 | #include <errno.h> |
985b6196 | 24 | #include "config.h" |
985b6196 RS |
25 | #include "tree.h" |
26 | ||
64685ffa RS |
27 | #ifndef errno |
28 | extern int errno; | |
29 | #endif | |
30 | ||
985b6196 RS |
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 | ||
842fbaaa | 34 | To support cross compilation between IEEE, VAX and IBM floating |
985b6196 RS |
35 | point formats, define REAL_ARITHMETIC in the tm.h file. |
36 | ||
37 | In either case the machine files (tm.h) must not contain any code | |
38 | that tries to use host floating point arithmetic to convert | |
39 | REAL_VALUE_TYPEs from `double' to `float', pass them to fprintf, | |
40 | etc. In cross-compile situations a REAL_VALUE_TYPE may not | |
41 | be intelligible to the host computer's native arithmetic. | |
42 | ||
43 | The emulator defaults to the host's floating point format so that | |
44 | its decimal conversion functions can be used if desired (see | |
45 | real.h). | |
46 | ||
47 | The first part of this file interfaces gcc to ieee.c, which is a | |
48 | floating point arithmetic suite that was not written with gcc in | |
49 | mind. The interface is followed by ieee.c itself and related | |
50 | items. Avoid changing ieee.c unless you have suitable test | |
51 | programs available. A special version of the PARANOIA floating | |
52 | point arithmetic tester, modified for this purpose, can be found | |
53 | on usc.edu : /pub/C-numanal/ieeetest.zoo. Some tutorial | |
54 | information on ieee.c is given in my book: S. L. Moshier, | |
55 | _Methods and Programs for Mathematical Functions_, Prentice-Hall | |
56 | or Simon & Schuster Int'l, 1989. A library of XFmode elementary | |
57 | transcendental functions can be obtained by ftp from | |
58 | research.att.com: netlib/cephes/ldouble.shar.Z */ | |
775ba35d | 59 | \f |
985b6196 | 60 | /* Type of computer arithmetic. |
defb5dab | 61 | Only one of DEC, IBM, MIEEE, IBMPC, or UNK should get defined. |
985b6196 | 62 | |
defb5dab | 63 | `MIEEE' refers generically to big-endian IEEE floating-point data |
66b6d60b RS |
64 | structure. This definition should work in SFmode `float' type and |
65 | DFmode `double' type on virtually all big-endian IEEE machines. | |
66 | If LONG_DOUBLE_TYPE_SIZE has been defined to be 96, then MIEEE | |
67 | also invokes the particular XFmode (`long double' type) data | |
68 | structure used by the Motorola 680x0 series processors. | |
69 | ||
70 | `IBMPC' refers generally to little-endian IEEE machines. In this | |
71 | case, if LONG_DOUBLE_TYPE_SIZE has been defined to be 96, then | |
72 | IBMPC also invokes the particular XFmode `long double' data | |
73 | structure used by the Intel 80x86 series processors. | |
74 | ||
75 | `DEC' refers specifically to the Digital Equipment Corp PDP-11 | |
76 | and VAX floating point data structure. This model currently | |
77 | supports no type wider than DFmode. | |
78 | ||
842fbaaa JW |
79 | `IBM' refers specifically to the IBM System/370 and compatible |
80 | floating point data structure. This model currently supports | |
81 | no type wider than DFmode. The IBM conversions were contributed by | |
82 | frank@atom.ansto.gov.au (Frank Crawford). | |
83 | ||
66b6d60b RS |
84 | If LONG_DOUBLE_TYPE_SIZE = 64 (the default, unless tm.h defines it) |
85 | then `long double' and `double' are both implemented, but they | |
86 | both mean DFmode. In this case, the software floating-point | |
87 | support available here is activated by writing | |
88 | #define REAL_ARITHMETIC | |
89 | in tm.h. | |
90 | ||
91 | The case LONG_DOUBLE_TYPE_SIZE = 128 activates TFmode support | |
842fbaaa | 92 | and may deactivate XFmode since `long double' is used to refer |
b51ab098 RK |
93 | to both modes. |
94 | ||
95 | The macros FLOAT_WORDS_BIG_ENDIAN, HOST_FLOAT_WORDS_BIG_ENDIAN, | |
96 | contributed by Richard Earnshaw <Richard.Earnshaw@cl.cam.ac.uk>, | |
97 | separate the floating point unit's endian-ness from that of | |
98 | the integer addressing. This permits one to define a big-endian | |
99 | FPU on a little-endian machine (e.g., ARM). An extension to | |
100 | BYTES_BIG_ENDIAN may be required for some machines in the future. | |
101 | These optional macros may be defined in tm.h. In real.h, they | |
102 | default to WORDS_BIG_ENDIAN, etc., so there is no need to define | |
103 | them for any normal host or target machine on which the floats | |
104 | and the integers have the same endian-ness. */ | |
105 | ||
66b6d60b RS |
106 | |
107 | /* The following converts gcc macros into the ones used by this file. */ | |
108 | ||
985b6196 RS |
109 | /* REAL_ARITHMETIC defined means that macros in real.h are |
110 | defined to call emulator functions. */ | |
111 | #ifdef REAL_ARITHMETIC | |
112 | ||
113 | #if TARGET_FLOAT_FORMAT == VAX_FLOAT_FORMAT | |
114 | /* PDP-11, Pro350, VAX: */ | |
115 | #define DEC 1 | |
116 | #else /* it's not VAX */ | |
842fbaaa JW |
117 | #if TARGET_FLOAT_FORMAT == IBM_FLOAT_FORMAT |
118 | /* IBM System/370 style */ | |
119 | #define IBM 1 | |
120 | #else /* it's also not an IBM */ | |
985b6196 | 121 | #if TARGET_FLOAT_FORMAT == IEEE_FLOAT_FORMAT |
b51ab098 | 122 | #if FLOAT_WORDS_BIG_ENDIAN |
985b6196 RS |
123 | /* Motorola IEEE, high order words come first (Sun workstation): */ |
124 | #define MIEEE 1 | |
125 | #else /* not big-endian */ | |
126 | /* Intel IEEE, low order words come first: | |
127 | */ | |
128 | #define IBMPC 1 | |
129 | #endif /* big-endian */ | |
130 | #else /* it's not IEEE either */ | |
131 | /* UNKnown arithmetic. We don't support this and can't go on. */ | |
132 | unknown arithmetic type | |
133 | #define UNK 1 | |
134 | #endif /* not IEEE */ | |
842fbaaa | 135 | #endif /* not IBM */ |
985b6196 RS |
136 | #endif /* not VAX */ |
137 | ||
138 | #else | |
139 | /* REAL_ARITHMETIC not defined means that the *host's* data | |
140 | structure will be used. It may differ by endian-ness from the | |
141 | target machine's structure and will get its ends swapped | |
142 | accordingly (but not here). Probably only the decimal <-> binary | |
143 | functions in this file will actually be used in this case. */ | |
defb5dab | 144 | |
985b6196 RS |
145 | #if HOST_FLOAT_FORMAT == VAX_FLOAT_FORMAT |
146 | #define DEC 1 | |
147 | #else /* it's not VAX */ | |
842fbaaa JW |
148 | #if HOST_FLOAT_FORMAT == IBM_FLOAT_FORMAT |
149 | /* IBM System/370 style */ | |
150 | #define IBM 1 | |
151 | #else /* it's also not an IBM */ | |
985b6196 | 152 | #if HOST_FLOAT_FORMAT == IEEE_FLOAT_FORMAT |
b51ab098 | 153 | #if HOST_FLOAT_WORDS_BIG_ENDIAN |
985b6196 RS |
154 | #define MIEEE 1 |
155 | #else /* not big-endian */ | |
156 | #define IBMPC 1 | |
157 | #endif /* big-endian */ | |
158 | #else /* it's not IEEE either */ | |
159 | unknown arithmetic type | |
160 | #define UNK 1 | |
161 | #endif /* not IEEE */ | |
842fbaaa | 162 | #endif /* not IBM */ |
985b6196 RS |
163 | #endif /* not VAX */ |
164 | ||
165 | #endif /* REAL_ARITHMETIC not defined */ | |
166 | ||
66b6d60b RS |
167 | /* Define INFINITY for support of infinity. |
168 | Define NANS for support of Not-a-Number's (NaN's). */ | |
842fbaaa | 169 | #if !defined(DEC) && !defined(IBM) |
985b6196 | 170 | #define INFINITY |
66b6d60b | 171 | #define NANS |
985b6196 RS |
172 | #endif |
173 | ||
66b6d60b RS |
174 | /* Support of NaNs requires support of infinity. */ |
175 | #ifdef NANS | |
176 | #ifndef INFINITY | |
177 | #define INFINITY | |
178 | #endif | |
179 | #endif | |
775ba35d | 180 | \f |
985b6196 RS |
181 | /* Find a host integer type that is at least 16 bits wide, |
182 | and another type at least twice whatever that size is. */ | |
183 | ||
184 | #if HOST_BITS_PER_CHAR >= 16 | |
185 | #define EMUSHORT char | |
186 | #define EMUSHORT_SIZE HOST_BITS_PER_CHAR | |
187 | #define EMULONG_SIZE (2 * HOST_BITS_PER_CHAR) | |
188 | #else | |
189 | #if HOST_BITS_PER_SHORT >= 16 | |
190 | #define EMUSHORT short | |
191 | #define EMUSHORT_SIZE HOST_BITS_PER_SHORT | |
192 | #define EMULONG_SIZE (2 * HOST_BITS_PER_SHORT) | |
193 | #else | |
194 | #if HOST_BITS_PER_INT >= 16 | |
195 | #define EMUSHORT int | |
196 | #define EMUSHORT_SIZE HOST_BITS_PER_INT | |
197 | #define EMULONG_SIZE (2 * HOST_BITS_PER_INT) | |
198 | #else | |
199 | #if HOST_BITS_PER_LONG >= 16 | |
200 | #define EMUSHORT long | |
201 | #define EMUSHORT_SIZE HOST_BITS_PER_LONG | |
202 | #define EMULONG_SIZE (2 * HOST_BITS_PER_LONG) | |
203 | #else | |
204 | /* You will have to modify this program to have a smaller unit size. */ | |
205 | #define EMU_NON_COMPILE | |
206 | #endif | |
207 | #endif | |
208 | #endif | |
209 | #endif | |
210 | ||
211 | #if HOST_BITS_PER_SHORT >= EMULONG_SIZE | |
212 | #define EMULONG short | |
213 | #else | |
214 | #if HOST_BITS_PER_INT >= EMULONG_SIZE | |
215 | #define EMULONG int | |
216 | #else | |
217 | #if HOST_BITS_PER_LONG >= EMULONG_SIZE | |
218 | #define EMULONG long | |
219 | #else | |
220 | #if HOST_BITS_PER_LONG_LONG >= EMULONG_SIZE | |
221 | #define EMULONG long long int | |
222 | #else | |
223 | /* You will have to modify this program to have a smaller unit size. */ | |
224 | #define EMU_NON_COMPILE | |
225 | #endif | |
226 | #endif | |
227 | #endif | |
228 | #endif | |
229 | ||
230 | ||
231 | /* The host interface doesn't work if no 16-bit size exists. */ | |
232 | #if EMUSHORT_SIZE != 16 | |
233 | #define EMU_NON_COMPILE | |
234 | #endif | |
235 | ||
236 | /* OK to continue compilation. */ | |
237 | #ifndef EMU_NON_COMPILE | |
238 | ||
239 | /* Construct macros to translate between REAL_VALUE_TYPE and e type. | |
240 | In GET_REAL and PUT_REAL, r and e are pointers. | |
241 | A REAL_VALUE_TYPE is guaranteed to occupy contiguous locations | |
242 | in memory, with no holes. */ | |
243 | ||
244 | #if LONG_DOUBLE_TYPE_SIZE == 96 | |
842fbaaa JW |
245 | /* Number of 16 bit words in external e type format */ |
246 | #define NE 6 | |
247 | #define MAXDECEXP 4932 | |
248 | #define MINDECEXP -4956 | |
4ba46f43 RK |
249 | #define GET_REAL(r,e) bcopy ((char *) r, (char *) e, 2*NE) |
250 | #define PUT_REAL(e,r) bcopy ((char *) e, (char *) r, 2*NE) | |
985b6196 | 251 | #else /* no XFmode */ |
842fbaaa JW |
252 | #if LONG_DOUBLE_TYPE_SIZE == 128 |
253 | #define NE 10 | |
254 | #define MAXDECEXP 4932 | |
255 | #define MINDECEXP -4977 | |
4ba46f43 RK |
256 | #define GET_REAL(r,e) bcopy ((char *) r, (char *) e, 2*NE) |
257 | #define PUT_REAL(e,r) bcopy ((char *) e, (char *) r, 2*NE) | |
842fbaaa JW |
258 | #else |
259 | #define NE 6 | |
260 | #define MAXDECEXP 4932 | |
261 | #define MINDECEXP -4956 | |
985b6196 RS |
262 | #ifdef REAL_ARITHMETIC |
263 | /* Emulator uses target format internally | |
264 | but host stores it in host endian-ness. */ | |
265 | ||
b51ab098 | 266 | #if HOST_FLOAT_WORDS_BIG_ENDIAN == FLOAT_WORDS_BIG_ENDIAN |
a0353055 RK |
267 | #define GET_REAL(r,e) e53toe ((unsigned EMUSHORT*) (r), (e)) |
268 | #define PUT_REAL(e,r) etoe53 ((e), (unsigned EMUSHORT *) (r)) | |
985b6196 RS |
269 | |
270 | #else /* endian-ness differs */ | |
271 | /* emulator uses target endian-ness internally */ | |
272 | #define GET_REAL(r,e) \ | |
a0353055 | 273 | do { unsigned EMUSHORT w[4]; \ |
985b6196 RS |
274 | w[3] = ((EMUSHORT *) r)[0]; \ |
275 | w[2] = ((EMUSHORT *) r)[1]; \ | |
276 | w[1] = ((EMUSHORT *) r)[2]; \ | |
277 | w[0] = ((EMUSHORT *) r)[3]; \ | |
278 | e53toe (w, (e)); } while (0) | |
279 | ||
280 | #define PUT_REAL(e,r) \ | |
a0353055 | 281 | do { unsigned EMUSHORT w[4]; \ |
985b6196 RS |
282 | etoe53 ((e), w); \ |
283 | *((EMUSHORT *) r) = w[3]; \ | |
284 | *((EMUSHORT *) r + 1) = w[2]; \ | |
285 | *((EMUSHORT *) r + 2) = w[1]; \ | |
286 | *((EMUSHORT *) r + 3) = w[0]; } while (0) | |
287 | ||
288 | #endif /* endian-ness differs */ | |
289 | ||
290 | #else /* not REAL_ARITHMETIC */ | |
291 | ||
292 | /* emulator uses host format */ | |
a0353055 RK |
293 | #define GET_REAL(r,e) e53toe ((unsigned EMUSHORT *) (r), (e)) |
294 | #define PUT_REAL(e,r) etoe53 ((e), (unsigned EMUSHORT *) (r)) | |
985b6196 RS |
295 | |
296 | #endif /* not REAL_ARITHMETIC */ | |
842fbaaa | 297 | #endif /* not TFmode */ |
985b6196 RS |
298 | #endif /* no XFmode */ |
299 | ||
842fbaaa JW |
300 | |
301 | /* Number of 16 bit words in internal format */ | |
302 | #define NI (NE+3) | |
303 | ||
304 | /* Array offset to exponent */ | |
305 | #define E 1 | |
306 | ||
307 | /* Array offset to high guard word */ | |
308 | #define M 2 | |
309 | ||
310 | /* Number of bits of precision */ | |
311 | #define NBITS ((NI-4)*16) | |
312 | ||
313 | /* Maximum number of decimal digits in ASCII conversion | |
314 | * = NBITS*log10(2) | |
315 | */ | |
316 | #define NDEC (NBITS*8/27) | |
317 | ||
318 | /* The exponent of 1.0 */ | |
319 | #define EXONE (0x3fff) | |
320 | ||
64685ffa | 321 | extern int extra_warnings; |
9d1bd99c MM |
322 | extern unsigned EMUSHORT ezero[], ehalf[], eone[], etwo[]; |
323 | extern unsigned EMUSHORT elog2[], esqrt2[]; | |
a0353055 RK |
324 | |
325 | static void endian PROTO((unsigned EMUSHORT *, long *, | |
326 | enum machine_mode)); | |
327 | static void eclear PROTO((unsigned EMUSHORT *)); | |
328 | static void emov PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
329 | static void eabs PROTO((unsigned EMUSHORT *)); | |
330 | static void eneg PROTO((unsigned EMUSHORT *)); | |
331 | static int eisneg PROTO((unsigned EMUSHORT *)); | |
332 | static int eisinf PROTO((unsigned EMUSHORT *)); | |
333 | static int eisnan PROTO((unsigned EMUSHORT *)); | |
334 | static void einfin PROTO((unsigned EMUSHORT *)); | |
335 | static void enan PROTO((unsigned EMUSHORT *, int)); | |
336 | static void emovi PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
337 | static void emovo PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
338 | static void ecleaz PROTO((unsigned EMUSHORT *)); | |
339 | static void ecleazs PROTO((unsigned EMUSHORT *)); | |
340 | static void emovz PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
341 | static void einan PROTO((unsigned EMUSHORT *)); | |
342 | static int eiisnan PROTO((unsigned EMUSHORT *)); | |
343 | static int eiisneg PROTO((unsigned EMUSHORT *)); | |
344 | static void eiinfin PROTO((unsigned EMUSHORT *)); | |
345 | static int eiisinf PROTO((unsigned EMUSHORT *)); | |
346 | static int ecmpm PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
347 | static void eshdn1 PROTO((unsigned EMUSHORT *)); | |
348 | static void eshup1 PROTO((unsigned EMUSHORT *)); | |
349 | static void eshdn8 PROTO((unsigned EMUSHORT *)); | |
350 | static void eshup8 PROTO((unsigned EMUSHORT *)); | |
351 | static void eshup6 PROTO((unsigned EMUSHORT *)); | |
352 | static void eshdn6 PROTO((unsigned EMUSHORT *)); | |
353 | static void eaddm PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));\f | |
354 | static void esubm PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
c92d992a | 355 | static void m16m PROTO((unsigned int, unsigned short *, |
a0353055 RK |
356 | unsigned short *)); |
357 | static int edivm PROTO((unsigned short *, unsigned short *)); | |
358 | static int emulm PROTO((unsigned short *, unsigned short *)); | |
359 | static void emdnorm PROTO((unsigned EMUSHORT *, int, int, EMULONG, int)); | |
360 | static void esub PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *, | |
361 | unsigned EMUSHORT *)); | |
362 | static void eadd PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *, | |
363 | unsigned EMUSHORT *)); | |
364 | static void eadd1 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *, | |
365 | unsigned EMUSHORT *)); | |
366 | static void ediv PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *, | |
367 | unsigned EMUSHORT *)); | |
368 | static void emul PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *, | |
369 | unsigned EMUSHORT *)); | |
370 | static void e53toe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
371 | static void e64toe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
372 | static void e113toe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
373 | static void e24toe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
374 | static void etoe113 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
375 | static void toe113 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
376 | static void etoe64 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
377 | static void toe64 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
378 | static void etoe53 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
379 | static void toe53 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
380 | static void etoe24 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
381 | static void toe24 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
382 | static int ecmp PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
383 | static void eround PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
384 | static void ltoe PROTO((HOST_WIDE_INT *, unsigned EMUSHORT *)); | |
385 | static void ultoe PROTO((unsigned HOST_WIDE_INT *, unsigned EMUSHORT *)); | |
386 | static void eifrac PROTO((unsigned EMUSHORT *, HOST_WIDE_INT *, | |
387 | unsigned EMUSHORT *)); | |
388 | static void euifrac PROTO((unsigned EMUSHORT *, unsigned HOST_WIDE_INT *, | |
389 | unsigned EMUSHORT *)); | |
390 | static int eshift PROTO((unsigned EMUSHORT *, int)); | |
391 | static int enormlz PROTO((unsigned EMUSHORT *)); | |
392 | static void e24toasc PROTO((unsigned EMUSHORT *, char *, int)); | |
393 | static void e53toasc PROTO((unsigned EMUSHORT *, char *, int)); | |
394 | static void e64toasc PROTO((unsigned EMUSHORT *, char *, int)); | |
395 | static void e113toasc PROTO((unsigned EMUSHORT *, char *, int)); | |
396 | static void etoasc PROTO((unsigned EMUSHORT *, char *, int)); | |
397 | static void asctoe24 PROTO((char *, unsigned EMUSHORT *)); | |
398 | static void asctoe53 PROTO((char *, unsigned EMUSHORT *)); | |
399 | static void asctoe64 PROTO((char *, unsigned EMUSHORT *)); | |
400 | static void asctoe113 PROTO((char *, unsigned EMUSHORT *)); | |
401 | static void asctoe PROTO((char *, unsigned EMUSHORT *)); | |
402 | static void asctoeg PROTO((char *, unsigned EMUSHORT *, int)); | |
403 | static void efloor PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
404 | static void efrexp PROTO((unsigned EMUSHORT *, int *, | |
405 | unsigned EMUSHORT *)); | |
406 | static void eldexp PROTO((unsigned EMUSHORT *, int, unsigned EMUSHORT *)); | |
407 | static void eremain PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *, | |
408 | unsigned EMUSHORT *)); | |
409 | static void eiremain PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
410 | static void mtherr PROTO((char *, int)); | |
411 | static void dectoe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
412 | static void etodec PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
413 | static void todec PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
414 | static void ibmtoe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *, | |
415 | enum machine_mode)); | |
416 | static void etoibm PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *, | |
417 | enum machine_mode)); | |
418 | static void toibm PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *, | |
419 | enum machine_mode)); | |
420 | static void make_nan PROTO((unsigned EMUSHORT *, int, enum machine_mode)); | |
421 | static void uditoe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
422 | static void ditoe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
423 | static void etoudi PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
424 | static void etodi PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
425 | static void esqrt PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *)); | |
775ba35d | 426 | \f |
b51ab098 RK |
427 | /* Copy 32-bit numbers obtained from array containing 16-bit numbers, |
428 | swapping ends if required, into output array of longs. The | |
429 | result is normally passed to fprintf by the ASM_OUTPUT_ macros. */ | |
a0353055 RK |
430 | |
431 | static void | |
985b6196 RS |
432 | endian (e, x, mode) |
433 | unsigned EMUSHORT e[]; | |
434 | long x[]; | |
435 | enum machine_mode mode; | |
436 | { | |
437 | unsigned long th, t; | |
438 | ||
b51ab098 | 439 | #if FLOAT_WORDS_BIG_ENDIAN |
985b6196 RS |
440 | switch (mode) |
441 | { | |
442 | ||
842fbaaa JW |
443 | case TFmode: |
444 | /* Swap halfwords in the fourth long. */ | |
445 | th = (unsigned long) e[6] & 0xffff; | |
446 | t = (unsigned long) e[7] & 0xffff; | |
447 | t |= th << 16; | |
448 | x[3] = (long) t; | |
449 | ||
985b6196 RS |
450 | case XFmode: |
451 | ||
452 | /* Swap halfwords in the third long. */ | |
453 | th = (unsigned long) e[4] & 0xffff; | |
454 | t = (unsigned long) e[5] & 0xffff; | |
455 | t |= th << 16; | |
456 | x[2] = (long) t; | |
457 | /* fall into the double case */ | |
458 | ||
459 | case DFmode: | |
460 | ||
461 | /* swap halfwords in the second word */ | |
462 | th = (unsigned long) e[2] & 0xffff; | |
463 | t = (unsigned long) e[3] & 0xffff; | |
464 | t |= th << 16; | |
465 | x[1] = (long) t; | |
466 | /* fall into the float case */ | |
467 | ||
bfbc6416 | 468 | case HFmode: |
985b6196 RS |
469 | case SFmode: |
470 | ||
471 | /* swap halfwords in the first word */ | |
472 | th = (unsigned long) e[0] & 0xffff; | |
473 | t = (unsigned long) e[1] & 0xffff; | |
474 | t |= th << 16; | |
475 | x[0] = t; | |
476 | break; | |
477 | ||
478 | default: | |
479 | abort (); | |
480 | } | |
481 | ||
482 | #else | |
483 | ||
484 | /* Pack the output array without swapping. */ | |
485 | ||
486 | switch (mode) | |
487 | { | |
488 | ||
842fbaaa JW |
489 | case TFmode: |
490 | ||
491 | /* Pack the fourth long. */ | |
492 | th = (unsigned long) e[7] & 0xffff; | |
493 | t = (unsigned long) e[6] & 0xffff; | |
494 | t |= th << 16; | |
495 | x[3] = (long) t; | |
496 | ||
985b6196 RS |
497 | case XFmode: |
498 | ||
499 | /* Pack the third long. | |
842fbaaa | 500 | Each element of the input REAL_VALUE_TYPE array has 16 useful bits |
985b6196 RS |
501 | in it. */ |
502 | th = (unsigned long) e[5] & 0xffff; | |
503 | t = (unsigned long) e[4] & 0xffff; | |
504 | t |= th << 16; | |
505 | x[2] = (long) t; | |
506 | /* fall into the double case */ | |
507 | ||
508 | case DFmode: | |
509 | ||
510 | /* pack the second long */ | |
511 | th = (unsigned long) e[3] & 0xffff; | |
512 | t = (unsigned long) e[2] & 0xffff; | |
513 | t |= th << 16; | |
514 | x[1] = (long) t; | |
515 | /* fall into the float case */ | |
516 | ||
bfbc6416 | 517 | case HFmode: |
985b6196 RS |
518 | case SFmode: |
519 | ||
520 | /* pack the first long */ | |
521 | th = (unsigned long) e[1] & 0xffff; | |
522 | t = (unsigned long) e[0] & 0xffff; | |
523 | t |= th << 16; | |
524 | x[0] = t; | |
525 | break; | |
526 | ||
527 | default: | |
528 | abort (); | |
529 | } | |
530 | ||
531 | #endif | |
532 | } | |
533 | ||
534 | ||
defb5dab | 535 | /* This is the implementation of the REAL_ARITHMETIC macro. */ |
a0353055 | 536 | |
985b6196 RS |
537 | void |
538 | earith (value, icode, r1, r2) | |
539 | REAL_VALUE_TYPE *value; | |
540 | int icode; | |
541 | REAL_VALUE_TYPE *r1; | |
542 | REAL_VALUE_TYPE *r2; | |
543 | { | |
544 | unsigned EMUSHORT d1[NE], d2[NE], v[NE]; | |
545 | enum tree_code code; | |
546 | ||
547 | GET_REAL (r1, d1); | |
548 | GET_REAL (r2, d2); | |
66b6d60b RS |
549 | #ifdef NANS |
550 | /* Return NaN input back to the caller. */ | |
551 | if (eisnan (d1)) | |
552 | { | |
553 | PUT_REAL (d1, value); | |
554 | return; | |
555 | } | |
556 | if (eisnan (d2)) | |
557 | { | |
558 | PUT_REAL (d2, value); | |
559 | return; | |
560 | } | |
561 | #endif | |
985b6196 RS |
562 | code = (enum tree_code) icode; |
563 | switch (code) | |
564 | { | |
565 | case PLUS_EXPR: | |
566 | eadd (d2, d1, v); | |
567 | break; | |
568 | ||
569 | case MINUS_EXPR: | |
570 | esub (d2, d1, v); /* d1 - d2 */ | |
571 | break; | |
572 | ||
573 | case MULT_EXPR: | |
574 | emul (d2, d1, v); | |
575 | break; | |
576 | ||
577 | case RDIV_EXPR: | |
578 | #ifndef REAL_INFINITY | |
579 | if (ecmp (d2, ezero) == 0) | |
66b6d60b RS |
580 | { |
581 | #ifdef NANS | |
29e11dab | 582 | enan (v, eisneg (d1) ^ eisneg (d2)); |
66b6d60b RS |
583 | break; |
584 | #else | |
985b6196 | 585 | abort (); |
66b6d60b RS |
586 | #endif |
587 | } | |
985b6196 RS |
588 | #endif |
589 | ediv (d2, d1, v); /* d1/d2 */ | |
590 | break; | |
591 | ||
592 | case MIN_EXPR: /* min (d1,d2) */ | |
593 | if (ecmp (d1, d2) < 0) | |
594 | emov (d1, v); | |
595 | else | |
596 | emov (d2, v); | |
597 | break; | |
598 | ||
599 | case MAX_EXPR: /* max (d1,d2) */ | |
600 | if (ecmp (d1, d2) > 0) | |
601 | emov (d1, v); | |
602 | else | |
603 | emov (d2, v); | |
604 | break; | |
605 | default: | |
606 | emov (ezero, v); | |
607 | break; | |
608 | } | |
609 | PUT_REAL (v, value); | |
610 | } | |
611 | ||
612 | ||
defb5dab RK |
613 | /* Truncate REAL_VALUE_TYPE toward zero to signed HOST_WIDE_INT. |
614 | implements REAL_VALUE_RNDZINT (x) (etrunci (x)). */ | |
615 | ||
985b6196 RS |
616 | REAL_VALUE_TYPE |
617 | etrunci (x) | |
618 | REAL_VALUE_TYPE x; | |
619 | { | |
620 | unsigned EMUSHORT f[NE], g[NE]; | |
621 | REAL_VALUE_TYPE r; | |
b51ab098 | 622 | HOST_WIDE_INT l; |
985b6196 RS |
623 | |
624 | GET_REAL (&x, g); | |
66b6d60b RS |
625 | #ifdef NANS |
626 | if (eisnan (g)) | |
627 | return (x); | |
628 | #endif | |
985b6196 RS |
629 | eifrac (g, &l, f); |
630 | ltoe (&l, g); | |
631 | PUT_REAL (g, &r); | |
632 | return (r); | |
633 | } | |
634 | ||
635 | ||
defb5dab RK |
636 | /* Truncate REAL_VALUE_TYPE toward zero to unsigned HOST_WIDE_INT; |
637 | implements REAL_VALUE_UNSIGNED_RNDZINT (x) (etruncui (x)). */ | |
638 | ||
985b6196 RS |
639 | REAL_VALUE_TYPE |
640 | etruncui (x) | |
641 | REAL_VALUE_TYPE x; | |
642 | { | |
643 | unsigned EMUSHORT f[NE], g[NE]; | |
644 | REAL_VALUE_TYPE r; | |
b51ab098 | 645 | unsigned HOST_WIDE_INT l; |
985b6196 RS |
646 | |
647 | GET_REAL (&x, g); | |
66b6d60b RS |
648 | #ifdef NANS |
649 | if (eisnan (g)) | |
650 | return (x); | |
651 | #endif | |
985b6196 RS |
652 | euifrac (g, &l, f); |
653 | ultoe (&l, g); | |
654 | PUT_REAL (g, &r); | |
655 | return (r); | |
656 | } | |
657 | ||
658 | ||
defb5dab RK |
659 | /* This is the REAL_VALUE_ATOF function. It converts a decimal string to |
660 | binary, rounding off as indicated by the machine_mode argument. Then it | |
661 | promotes the rounded value to REAL_VALUE_TYPE. */ | |
662 | ||
985b6196 RS |
663 | REAL_VALUE_TYPE |
664 | ereal_atof (s, t) | |
665 | char *s; | |
666 | enum machine_mode t; | |
667 | { | |
668 | unsigned EMUSHORT tem[NE], e[NE]; | |
669 | REAL_VALUE_TYPE r; | |
670 | ||
671 | switch (t) | |
672 | { | |
bfbc6416 | 673 | case HFmode: |
985b6196 RS |
674 | case SFmode: |
675 | asctoe24 (s, tem); | |
676 | e24toe (tem, e); | |
677 | break; | |
678 | case DFmode: | |
679 | asctoe53 (s, tem); | |
680 | e53toe (tem, e); | |
681 | break; | |
682 | case XFmode: | |
683 | asctoe64 (s, tem); | |
684 | e64toe (tem, e); | |
685 | break; | |
842fbaaa JW |
686 | case TFmode: |
687 | asctoe113 (s, tem); | |
688 | e113toe (tem, e); | |
689 | break; | |
985b6196 RS |
690 | default: |
691 | asctoe (s, e); | |
692 | } | |
693 | PUT_REAL (e, &r); | |
694 | return (r); | |
695 | } | |
696 | ||
697 | ||
defb5dab RK |
698 | /* Expansion of REAL_NEGATE. */ |
699 | ||
985b6196 RS |
700 | REAL_VALUE_TYPE |
701 | ereal_negate (x) | |
702 | REAL_VALUE_TYPE x; | |
703 | { | |
704 | unsigned EMUSHORT e[NE]; | |
705 | REAL_VALUE_TYPE r; | |
706 | ||
707 | GET_REAL (&x, e); | |
708 | eneg (e); | |
709 | PUT_REAL (e, &r); | |
710 | return (r); | |
711 | } | |
712 | ||
713 | ||
defb5dab RK |
714 | /* Round real toward zero to HOST_WIDE_INT; |
715 | implements REAL_VALUE_FIX (x). */ | |
716 | ||
b51ab098 | 717 | HOST_WIDE_INT |
842fbaaa | 718 | efixi (x) |
985b6196 RS |
719 | REAL_VALUE_TYPE x; |
720 | { | |
721 | unsigned EMUSHORT f[NE], g[NE]; | |
b51ab098 | 722 | HOST_WIDE_INT l; |
985b6196 RS |
723 | |
724 | GET_REAL (&x, f); | |
66b6d60b RS |
725 | #ifdef NANS |
726 | if (eisnan (f)) | |
727 | { | |
728 | warning ("conversion from NaN to int"); | |
729 | return (-1); | |
730 | } | |
731 | #endif | |
842fbaaa JW |
732 | eifrac (f, &l, g); |
733 | return l; | |
985b6196 RS |
734 | } |
735 | ||
842fbaaa | 736 | /* Round real toward zero to unsigned HOST_WIDE_INT |
defb5dab RK |
737 | implements REAL_VALUE_UNSIGNED_FIX (x). |
738 | Negative input returns zero. */ | |
739 | ||
b51ab098 | 740 | unsigned HOST_WIDE_INT |
842fbaaa | 741 | efixui (x) |
985b6196 RS |
742 | REAL_VALUE_TYPE x; |
743 | { | |
744 | unsigned EMUSHORT f[NE], g[NE]; | |
b51ab098 | 745 | unsigned HOST_WIDE_INT l; |
985b6196 RS |
746 | |
747 | GET_REAL (&x, f); | |
66b6d60b RS |
748 | #ifdef NANS |
749 | if (eisnan (f)) | |
750 | { | |
751 | warning ("conversion from NaN to unsigned int"); | |
752 | return (-1); | |
753 | } | |
754 | #endif | |
842fbaaa JW |
755 | euifrac (f, &l, g); |
756 | return l; | |
985b6196 RS |
757 | } |
758 | ||
759 | ||
defb5dab RK |
760 | /* REAL_VALUE_FROM_INT macro. */ |
761 | ||
985b6196 RS |
762 | void |
763 | ereal_from_int (d, i, j) | |
764 | REAL_VALUE_TYPE *d; | |
b51ab098 | 765 | HOST_WIDE_INT i, j; |
985b6196 RS |
766 | { |
767 | unsigned EMUSHORT df[NE], dg[NE]; | |
b51ab098 | 768 | HOST_WIDE_INT low, high; |
985b6196 RS |
769 | int sign; |
770 | ||
771 | sign = 0; | |
772 | low = i; | |
773 | if ((high = j) < 0) | |
774 | { | |
775 | sign = 1; | |
776 | /* complement and add 1 */ | |
777 | high = ~high; | |
778 | if (low) | |
779 | low = -low; | |
780 | else | |
781 | high += 1; | |
782 | } | |
b51ab098 | 783 | eldexp (eone, HOST_BITS_PER_WIDE_INT, df); |
60e61165 | 784 | ultoe ((unsigned HOST_WIDE_INT *) &high, dg); |
985b6196 | 785 | emul (dg, df, dg); |
60e61165 | 786 | ultoe ((unsigned HOST_WIDE_INT *) &low, df); |
985b6196 RS |
787 | eadd (df, dg, dg); |
788 | if (sign) | |
789 | eneg (dg); | |
790 | PUT_REAL (dg, d); | |
791 | } | |
792 | ||
793 | ||
defb5dab | 794 | /* REAL_VALUE_FROM_UNSIGNED_INT macro. */ |
a0353055 | 795 | |
985b6196 RS |
796 | void |
797 | ereal_from_uint (d, i, j) | |
798 | REAL_VALUE_TYPE *d; | |
b51ab098 | 799 | unsigned HOST_WIDE_INT i, j; |
985b6196 RS |
800 | { |
801 | unsigned EMUSHORT df[NE], dg[NE]; | |
b51ab098 | 802 | unsigned HOST_WIDE_INT low, high; |
985b6196 RS |
803 | |
804 | low = i; | |
805 | high = j; | |
b51ab098 | 806 | eldexp (eone, HOST_BITS_PER_WIDE_INT, df); |
985b6196 RS |
807 | ultoe (&high, dg); |
808 | emul (dg, df, dg); | |
809 | ultoe (&low, df); | |
810 | eadd (df, dg, dg); | |
811 | PUT_REAL (dg, d); | |
812 | } | |
813 | ||
814 | ||
defb5dab RK |
815 | /* REAL_VALUE_TO_INT macro. */ |
816 | ||
985b6196 RS |
817 | void |
818 | ereal_to_int (low, high, rr) | |
b51ab098 | 819 | HOST_WIDE_INT *low, *high; |
985b6196 RS |
820 | REAL_VALUE_TYPE rr; |
821 | { | |
822 | unsigned EMUSHORT d[NE], df[NE], dg[NE], dh[NE]; | |
823 | int s; | |
824 | ||
825 | GET_REAL (&rr, d); | |
66b6d60b | 826 | #ifdef NANS |
970491df | 827 | if (eisnan (d)) |
66b6d60b RS |
828 | { |
829 | warning ("conversion from NaN to int"); | |
830 | *low = -1; | |
831 | *high = -1; | |
832 | return; | |
833 | } | |
834 | #endif | |
985b6196 RS |
835 | /* convert positive value */ |
836 | s = 0; | |
837 | if (eisneg (d)) | |
838 | { | |
839 | eneg (d); | |
840 | s = 1; | |
841 | } | |
b51ab098 | 842 | eldexp (eone, HOST_BITS_PER_WIDE_INT, df); |
985b6196 | 843 | ediv (df, d, dg); /* dg = d / 2^32 is the high word */ |
60e61165 | 844 | euifrac (dg, (unsigned HOST_WIDE_INT *) high, dh); |
985b6196 | 845 | emul (df, dh, dg); /* fractional part is the low word */ |
60e61165 | 846 | euifrac (dg, (unsigned HOST_WIDE_INT *)low, dh); |
985b6196 RS |
847 | if (s) |
848 | { | |
849 | /* complement and add 1 */ | |
850 | *high = ~(*high); | |
851 | if (*low) | |
852 | *low = -(*low); | |
853 | else | |
854 | *high += 1; | |
855 | } | |
856 | } | |
857 | ||
858 | ||
defb5dab RK |
859 | /* REAL_VALUE_LDEXP macro. */ |
860 | ||
985b6196 RS |
861 | REAL_VALUE_TYPE |
862 | ereal_ldexp (x, n) | |
863 | REAL_VALUE_TYPE x; | |
864 | int n; | |
865 | { | |
866 | unsigned EMUSHORT e[NE], y[NE]; | |
867 | REAL_VALUE_TYPE r; | |
868 | ||
869 | GET_REAL (&x, e); | |
66b6d60b RS |
870 | #ifdef NANS |
871 | if (eisnan (e)) | |
872 | return (x); | |
873 | #endif | |
985b6196 RS |
874 | eldexp (e, n, y); |
875 | PUT_REAL (y, &r); | |
876 | return (r); | |
877 | } | |
878 | ||
879 | /* These routines are conditionally compiled because functions | |
defb5dab RK |
880 | of the same names may be defined in fold-const.c. */ |
881 | ||
985b6196 RS |
882 | #ifdef REAL_ARITHMETIC |
883 | ||
884 | /* Check for infinity in a REAL_VALUE_TYPE. */ | |
defb5dab | 885 | |
985b6196 RS |
886 | int |
887 | target_isinf (x) | |
888 | REAL_VALUE_TYPE x; | |
889 | { | |
890 | unsigned EMUSHORT e[NE]; | |
891 | ||
892 | #ifdef INFINITY | |
893 | GET_REAL (&x, e); | |
894 | return (eisinf (e)); | |
895 | #else | |
896 | return 0; | |
897 | #endif | |
898 | } | |
899 | ||
900 | ||
66b6d60b | 901 | /* Check whether a REAL_VALUE_TYPE item is a NaN. */ |
985b6196 RS |
902 | |
903 | int | |
904 | target_isnan (x) | |
905 | REAL_VALUE_TYPE x; | |
906 | { | |
9d72da33 RS |
907 | unsigned EMUSHORT e[NE]; |
908 | ||
66b6d60b | 909 | #ifdef NANS |
9d72da33 RS |
910 | GET_REAL (&x, e); |
911 | return (eisnan (e)); | |
66b6d60b | 912 | #else |
985b6196 | 913 | return (0); |
66b6d60b | 914 | #endif |
985b6196 RS |
915 | } |
916 | ||
917 | ||
66b6d60b | 918 | /* Check for a negative REAL_VALUE_TYPE number. |
defb5dab | 919 | This just checks the sign bit, so that -0 counts as negative. */ |
985b6196 RS |
920 | |
921 | int | |
922 | target_negative (x) | |
923 | REAL_VALUE_TYPE x; | |
924 | { | |
281bb5e4 | 925 | return ereal_isneg (x); |
985b6196 RS |
926 | } |
927 | ||
928 | /* Expansion of REAL_VALUE_TRUNCATE. | |
defb5dab RK |
929 | The result is in floating point, rounded to nearest or even. */ |
930 | ||
985b6196 RS |
931 | REAL_VALUE_TYPE |
932 | real_value_truncate (mode, arg) | |
933 | enum machine_mode mode; | |
934 | REAL_VALUE_TYPE arg; | |
935 | { | |
936 | unsigned EMUSHORT e[NE], t[NE]; | |
937 | REAL_VALUE_TYPE r; | |
938 | ||
939 | GET_REAL (&arg, e); | |
66b6d60b RS |
940 | #ifdef NANS |
941 | if (eisnan (e)) | |
942 | return (arg); | |
943 | #endif | |
985b6196 RS |
944 | eclear (t); |
945 | switch (mode) | |
946 | { | |
842fbaaa JW |
947 | case TFmode: |
948 | etoe113 (e, t); | |
949 | e113toe (t, t); | |
950 | break; | |
951 | ||
985b6196 RS |
952 | case XFmode: |
953 | etoe64 (e, t); | |
954 | e64toe (t, t); | |
955 | break; | |
956 | ||
957 | case DFmode: | |
958 | etoe53 (e, t); | |
959 | e53toe (t, t); | |
960 | break; | |
961 | ||
bfbc6416 | 962 | case HFmode: |
985b6196 RS |
963 | case SFmode: |
964 | etoe24 (e, t); | |
965 | e24toe (t, t); | |
966 | break; | |
967 | ||
968 | case SImode: | |
f8ece317 | 969 | r = etrunci (arg); |
985b6196 RS |
970 | return (r); |
971 | ||
0de689b7 RK |
972 | /* If an unsupported type was requested, presume that |
973 | the machine files know something useful to do with | |
974 | the unmodified value. */ | |
defb5dab | 975 | |
985b6196 | 976 | default: |
0de689b7 | 977 | return (arg); |
985b6196 RS |
978 | } |
979 | PUT_REAL (t, &r); | |
980 | return (r); | |
981 | } | |
982 | ||
983 | #endif /* REAL_ARITHMETIC defined */ | |
984 | ||
775ba35d RS |
985 | /* Used for debugging--print the value of R in human-readable format |
986 | on stderr. */ | |
987 | ||
988 | void | |
989 | debug_real (r) | |
990 | REAL_VALUE_TYPE r; | |
991 | { | |
992 | char dstr[30]; | |
993 | ||
994 | REAL_VALUE_TO_DECIMAL (r, "%.20g", dstr); | |
995 | fprintf (stderr, "%s", dstr); | |
996 | } | |
997 | ||
998 | \f | |
985b6196 RS |
999 | /* Target values are arrays of host longs. A long is guaranteed |
1000 | to be at least 32 bits wide. */ | |
842fbaaa JW |
1001 | |
1002 | /* 128-bit long double */ | |
defb5dab | 1003 | |
842fbaaa JW |
1004 | void |
1005 | etartdouble (r, l) | |
1006 | REAL_VALUE_TYPE r; | |
1007 | long l[]; | |
1008 | { | |
1009 | unsigned EMUSHORT e[NE]; | |
1010 | ||
1011 | GET_REAL (&r, e); | |
1012 | etoe113 (e, e); | |
1013 | endian (e, l, TFmode); | |
1014 | } | |
1015 | ||
1016 | /* 80-bit long double */ | |
defb5dab | 1017 | |
985b6196 RS |
1018 | void |
1019 | etarldouble (r, l) | |
1020 | REAL_VALUE_TYPE r; | |
1021 | long l[]; | |
1022 | { | |
1023 | unsigned EMUSHORT e[NE]; | |
1024 | ||
1025 | GET_REAL (&r, e); | |
1026 | etoe64 (e, e); | |
1027 | endian (e, l, XFmode); | |
1028 | } | |
1029 | ||
1030 | void | |
1031 | etardouble (r, l) | |
1032 | REAL_VALUE_TYPE r; | |
1033 | long l[]; | |
1034 | { | |
1035 | unsigned EMUSHORT e[NE]; | |
1036 | ||
1037 | GET_REAL (&r, e); | |
1038 | etoe53 (e, e); | |
1039 | endian (e, l, DFmode); | |
1040 | } | |
1041 | ||
1042 | long | |
1043 | etarsingle (r) | |
1044 | REAL_VALUE_TYPE r; | |
1045 | { | |
1046 | unsigned EMUSHORT e[NE]; | |
60e61165 | 1047 | long l; |
985b6196 RS |
1048 | |
1049 | GET_REAL (&r, e); | |
1050 | etoe24 (e, e); | |
1051 | endian (e, &l, SFmode); | |
1052 | return ((long) l); | |
1053 | } | |
1054 | ||
1055 | void | |
1056 | ereal_to_decimal (x, s) | |
1057 | REAL_VALUE_TYPE x; | |
1058 | char *s; | |
1059 | { | |
1060 | unsigned EMUSHORT e[NE]; | |
1061 | ||
1062 | GET_REAL (&x, e); | |
1063 | etoasc (e, s, 20); | |
1064 | } | |
1065 | ||
1066 | int | |
1067 | ereal_cmp (x, y) | |
1068 | REAL_VALUE_TYPE x, y; | |
1069 | { | |
1070 | unsigned EMUSHORT ex[NE], ey[NE]; | |
1071 | ||
1072 | GET_REAL (&x, ex); | |
1073 | GET_REAL (&y, ey); | |
1074 | return (ecmp (ex, ey)); | |
1075 | } | |
1076 | ||
1077 | int | |
1078 | ereal_isneg (x) | |
1079 | REAL_VALUE_TYPE x; | |
1080 | { | |
1081 | unsigned EMUSHORT ex[NE]; | |
1082 | ||
1083 | GET_REAL (&x, ex); | |
1084 | return (eisneg (ex)); | |
1085 | } | |
1086 | ||
1087 | /* End of REAL_ARITHMETIC interface */ | |
775ba35d | 1088 | \f |
defb5dab RK |
1089 | /* |
1090 | Extended precision IEEE binary floating point arithmetic routines | |
1091 | ||
1092 | Numbers are stored in C language as arrays of 16-bit unsigned | |
1093 | short integers. The arguments of the routines are pointers to | |
1094 | the arrays. | |
1095 | ||
1096 | External e type data structure, simulates Intel 8087 chip | |
1097 | temporary real format but possibly with a larger significand: | |
1098 | ||
1099 | NE-1 significand words (least significant word first, | |
1100 | most significant bit is normally set) | |
1101 | exponent (value = EXONE for 1.0, | |
1102 | top bit is the sign) | |
1103 | ||
1104 | ||
1105 | Internal data structure of a number (a "word" is 16 bits): | |
1106 | ||
1107 | ei[0] sign word (0 for positive, 0xffff for negative) | |
1108 | ei[1] biased exponent (value = EXONE for the number 1.0) | |
1109 | ei[2] high guard word (always zero after normalization) | |
1110 | ei[3] | |
1111 | to ei[NI-2] significand (NI-4 significand words, | |
1112 | most significant word first, | |
1113 | most significant bit is set) | |
1114 | ei[NI-1] low guard word (0x8000 bit is rounding place) | |
1115 | ||
1116 | ||
1117 | ||
1118 | Routines for external format numbers | |
1119 | ||
1120 | asctoe (string, e) ASCII string to extended double e type | |
1121 | asctoe64 (string, &d) ASCII string to long double | |
1122 | asctoe53 (string, &d) ASCII string to double | |
1123 | asctoe24 (string, &f) ASCII string to single | |
1124 | asctoeg (string, e, prec) ASCII string to specified precision | |
1125 | e24toe (&f, e) IEEE single precision to e type | |
1126 | e53toe (&d, e) IEEE double precision to e type | |
1127 | e64toe (&d, e) IEEE long double precision to e type | |
1128 | e113toe (&d, e) 128-bit long double precision to e type | |
1129 | eabs (e) absolute value | |
1130 | eadd (a, b, c) c = b + a | |
1131 | eclear (e) e = 0 | |
1132 | ecmp (a, b) Returns 1 if a > b, 0 if a == b, | |
1133 | -1 if a < b, -2 if either a or b is a NaN. | |
1134 | ediv (a, b, c) c = b / a | |
1135 | efloor (a, b) truncate to integer, toward -infinity | |
1136 | efrexp (a, exp, s) extract exponent and significand | |
1137 | eifrac (e, &l, frac) e to HOST_WIDE_INT and e type fraction | |
1138 | euifrac (e, &l, frac) e to unsigned HOST_WIDE_INT and e type fraction | |
1139 | einfin (e) set e to infinity, leaving its sign alone | |
1140 | eldexp (a, n, b) multiply by 2**n | |
1141 | emov (a, b) b = a | |
1142 | emul (a, b, c) c = b * a | |
1143 | eneg (e) e = -e | |
1144 | eround (a, b) b = nearest integer value to a | |
1145 | esub (a, b, c) c = b - a | |
1146 | e24toasc (&f, str, n) single to ASCII string, n digits after decimal | |
1147 | e53toasc (&d, str, n) double to ASCII string, n digits after decimal | |
1148 | e64toasc (&d, str, n) 80-bit long double to ASCII string | |
1149 | e113toasc (&d, str, n) 128-bit long double to ASCII string | |
1150 | etoasc (e, str, n) e to ASCII string, n digits after decimal | |
1151 | etoe24 (e, &f) convert e type to IEEE single precision | |
1152 | etoe53 (e, &d) convert e type to IEEE double precision | |
1153 | etoe64 (e, &d) convert e type to IEEE long double precision | |
1154 | ltoe (&l, e) HOST_WIDE_INT to e type | |
1155 | ultoe (&l, e) unsigned HOST_WIDE_INT to e type | |
1156 | eisneg (e) 1 if sign bit of e != 0, else 0 | |
1157 | eisinf (e) 1 if e has maximum exponent (non-IEEE) | |
1158 | or is infinite (IEEE) | |
1159 | eisnan (e) 1 if e is a NaN | |
1160 | ||
1161 | ||
1162 | Routines for internal format numbers | |
1163 | ||
1164 | eaddm (ai, bi) add significands, bi = bi + ai | |
1165 | ecleaz (ei) ei = 0 | |
1166 | ecleazs (ei) set ei = 0 but leave its sign alone | |
1167 | ecmpm (ai, bi) compare significands, return 1, 0, or -1 | |
1168 | edivm (ai, bi) divide significands, bi = bi / ai | |
1169 | emdnorm (ai,l,s,exp) normalize and round off | |
1170 | emovi (a, ai) convert external a to internal ai | |
1171 | emovo (ai, a) convert internal ai to external a | |
1172 | emovz (ai, bi) bi = ai, low guard word of bi = 0 | |
1173 | emulm (ai, bi) multiply significands, bi = bi * ai | |
1174 | enormlz (ei) left-justify the significand | |
1175 | eshdn1 (ai) shift significand and guards down 1 bit | |
1176 | eshdn8 (ai) shift down 8 bits | |
1177 | eshdn6 (ai) shift down 16 bits | |
1178 | eshift (ai, n) shift ai n bits up (or down if n < 0) | |
1179 | eshup1 (ai) shift significand and guards up 1 bit | |
1180 | eshup8 (ai) shift up 8 bits | |
1181 | eshup6 (ai) shift up 16 bits | |
1182 | esubm (ai, bi) subtract significands, bi = bi - ai | |
1183 | eiisinf (ai) 1 if infinite | |
1184 | eiisnan (ai) 1 if a NaN | |
1185 | eiisneg (ai) 1 if sign bit of ai != 0, else 0 | |
1186 | einan (ai) set ai = NaN | |
1187 | eiinfin (ai) set ai = infinity | |
1188 | ||
1189 | The result is always normalized and rounded to NI-4 word precision | |
1190 | after each arithmetic operation. | |
1191 | ||
1192 | Exception flags are NOT fully supported. | |
1193 | ||
1194 | Signaling NaN's are NOT supported; they are treated the same | |
1195 | as quiet NaN's. | |
1196 | ||
1197 | Define INFINITY for support of infinity; otherwise a | |
1198 | saturation arithmetic is implemented. | |
1199 | ||
1200 | Define NANS for support of Not-a-Number items; otherwise the | |
1201 | arithmetic will never produce a NaN output, and might be confused | |
1202 | by a NaN input. | |
1203 | If NaN's are supported, the output of `ecmp (a,b)' is -2 if | |
1204 | either a or b is a NaN. This means asking `if (ecmp (a,b) < 0)' | |
1205 | may not be legitimate. Use `if (ecmp (a,b) == -1)' for `less than' | |
1206 | if in doubt. | |
1207 | ||
1208 | Denormals are always supported here where appropriate (e.g., not | |
1209 | for conversion to DEC numbers). */ | |
1210 | ||
1211 | /* Definitions for error codes that are passed to the common error handling | |
1212 | routine mtherr. | |
1213 | ||
1214 | For Digital Equipment PDP-11 and VAX computers, certain | |
1215 | IBM systems, and others that use numbers with a 56-bit | |
1216 | significand, the symbol DEC should be defined. In this | |
1217 | mode, most floating point constants are given as arrays | |
1218 | of octal integers to eliminate decimal to binary conversion | |
1219 | errors that might be introduced by the compiler. | |
1220 | ||
1221 | For computers, such as IBM PC, that follow the IEEE | |
1222 | Standard for Binary Floating Point Arithmetic (ANSI/IEEE | |
1223 | Std 754-1985), the symbol IBMPC or MIEEE should be defined. | |
1224 | These numbers have 53-bit significands. In this mode, constants | |
1225 | are provided as arrays of hexadecimal 16 bit integers. | |
1226 | ||
1227 | To accommodate other types of computer arithmetic, all | |
1228 | constants are also provided in a normal decimal radix | |
1229 | which one can hope are correctly converted to a suitable | |
1230 | format by the available C language compiler. To invoke | |
1231 | this mode, the symbol UNK is defined. | |
1232 | ||
1233 | An important difference among these modes is a predefined | |
1234 | set of machine arithmetic constants for each. The numbers | |
1235 | MACHEP (the machine roundoff error), MAXNUM (largest number | |
1236 | represented), and several other parameters are preset by | |
1237 | the configuration symbol. Check the file const.c to | |
1238 | ensure that these values are correct for your computer. | |
1239 | ||
1240 | For ANSI C compatibility, define ANSIC equal to 1. Currently | |
1241 | this affects only the atan2 function and others that use it. */ | |
985b6196 | 1242 | |
e8650b8f | 1243 | /* Constant definitions for math error conditions. */ |
985b6196 RS |
1244 | |
1245 | #define DOMAIN 1 /* argument domain error */ | |
1246 | #define SING 2 /* argument singularity */ | |
1247 | #define OVERFLOW 3 /* overflow range error */ | |
1248 | #define UNDERFLOW 4 /* underflow range error */ | |
1249 | #define TLOSS 5 /* total loss of precision */ | |
1250 | #define PLOSS 6 /* partial loss of precision */ | |
66b6d60b | 1251 | #define INVALID 7 /* NaN-producing operation */ |
985b6196 | 1252 | |
985b6196 RS |
1253 | /* e type constants used by high precision check routines */ |
1254 | ||
842fbaaa | 1255 | #if LONG_DOUBLE_TYPE_SIZE == 128 |
985b6196 RS |
1256 | /* 0.0 */ |
1257 | unsigned EMUSHORT ezero[NE] = | |
842fbaaa JW |
1258 | {0x0000, 0x0000, 0x0000, 0x0000, |
1259 | 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,}; | |
985b6196 RS |
1260 | extern unsigned EMUSHORT ezero[]; |
1261 | ||
1262 | /* 5.0E-1 */ | |
1263 | unsigned EMUSHORT ehalf[NE] = | |
842fbaaa JW |
1264 | {0x0000, 0x0000, 0x0000, 0x0000, |
1265 | 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3ffe,}; | |
985b6196 RS |
1266 | extern unsigned EMUSHORT ehalf[]; |
1267 | ||
1268 | /* 1.0E0 */ | |
1269 | unsigned EMUSHORT eone[NE] = | |
842fbaaa JW |
1270 | {0x0000, 0x0000, 0x0000, 0x0000, |
1271 | 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3fff,}; | |
985b6196 RS |
1272 | extern unsigned EMUSHORT eone[]; |
1273 | ||
1274 | /* 2.0E0 */ | |
1275 | unsigned EMUSHORT etwo[NE] = | |
842fbaaa JW |
1276 | {0x0000, 0x0000, 0x0000, 0x0000, |
1277 | 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x4000,}; | |
985b6196 RS |
1278 | extern unsigned EMUSHORT etwo[]; |
1279 | ||
1280 | /* 3.2E1 */ | |
1281 | unsigned EMUSHORT e32[NE] = | |
842fbaaa JW |
1282 | {0x0000, 0x0000, 0x0000, 0x0000, |
1283 | 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x4004,}; | |
985b6196 RS |
1284 | extern unsigned EMUSHORT e32[]; |
1285 | ||
1286 | /* 6.93147180559945309417232121458176568075500134360255E-1 */ | |
1287 | unsigned EMUSHORT elog2[NE] = | |
842fbaaa JW |
1288 | {0x40f3, 0xf6af, 0x03f2, 0xb398, |
1289 | 0xc9e3, 0x79ab, 0150717, 0013767, 0130562, 0x3ffe,}; | |
985b6196 RS |
1290 | extern unsigned EMUSHORT elog2[]; |
1291 | ||
1292 | /* 1.41421356237309504880168872420969807856967187537695E0 */ | |
1293 | unsigned EMUSHORT esqrt2[NE] = | |
842fbaaa JW |
1294 | {0x1d6f, 0xbe9f, 0x754a, 0x89b3, |
1295 | 0x597d, 0x6484, 0174736, 0171463, 0132404, 0x3fff,}; | |
985b6196 RS |
1296 | extern unsigned EMUSHORT esqrt2[]; |
1297 | ||
985b6196 RS |
1298 | /* 3.14159265358979323846264338327950288419716939937511E0 */ |
1299 | unsigned EMUSHORT epi[NE] = | |
842fbaaa | 1300 | {0x2902, 0x1cd1, 0x80dc, 0x628b, |
985b6196 RS |
1301 | 0xc4c6, 0xc234, 0020550, 0155242, 0144417, 0040000,}; |
1302 | extern unsigned EMUSHORT epi[]; | |
1303 | ||
842fbaaa JW |
1304 | #else |
1305 | /* LONG_DOUBLE_TYPE_SIZE is other than 128 */ | |
1306 | unsigned EMUSHORT ezero[NE] = | |
1307 | {0, 0000000, 0000000, 0000000, 0000000, 0000000,}; | |
1308 | unsigned EMUSHORT ehalf[NE] = | |
1309 | {0, 0000000, 0000000, 0000000, 0100000, 0x3ffe,}; | |
1310 | unsigned EMUSHORT eone[NE] = | |
1311 | {0, 0000000, 0000000, 0000000, 0100000, 0x3fff,}; | |
1312 | unsigned EMUSHORT etwo[NE] = | |
1313 | {0, 0000000, 0000000, 0000000, 0100000, 0040000,}; | |
1314 | unsigned EMUSHORT e32[NE] = | |
1315 | {0, 0000000, 0000000, 0000000, 0100000, 0040004,}; | |
1316 | unsigned EMUSHORT elog2[NE] = | |
1317 | {0xc9e4, 0x79ab, 0150717, 0013767, 0130562, 0x3ffe,}; | |
1318 | unsigned EMUSHORT esqrt2[NE] = | |
1319 | {0x597e, 0x6484, 0174736, 0171463, 0132404, 0x3fff,}; | |
1320 | unsigned EMUSHORT epi[NE] = | |
1321 | {0xc4c6, 0xc234, 0020550, 0155242, 0144417, 0040000,}; | |
1322 | #endif | |
985b6196 RS |
1323 | |
1324 | ||
1325 | ||
1326 | /* Control register for rounding precision. | |
defb5dab RK |
1327 | This can be set to 113 (if NE=10), 80 (if NE=6), 64, 56, 53, or 24 bits. */ |
1328 | ||
985b6196 RS |
1329 | int rndprc = NBITS; |
1330 | extern int rndprc; | |
1331 | ||
defb5dab | 1332 | /* Clear out entire external format number. */ |
985b6196 | 1333 | |
a0353055 | 1334 | static void |
985b6196 RS |
1335 | eclear (x) |
1336 | register unsigned EMUSHORT *x; | |
1337 | { | |
1338 | register int i; | |
1339 | ||
1340 | for (i = 0; i < NE; i++) | |
1341 | *x++ = 0; | |
1342 | } | |
1343 | ||
1344 | ||
1345 | ||
defb5dab | 1346 | /* Move external format number from a to b. */ |
985b6196 | 1347 | |
a0353055 | 1348 | static void |
985b6196 RS |
1349 | emov (a, b) |
1350 | register unsigned EMUSHORT *a, *b; | |
1351 | { | |
1352 | register int i; | |
1353 | ||
1354 | for (i = 0; i < NE; i++) | |
1355 | *b++ = *a++; | |
1356 | } | |
1357 | ||
1358 | ||
defb5dab | 1359 | /* Absolute value of external format number. */ |
985b6196 | 1360 | |
a0353055 | 1361 | static void |
985b6196 | 1362 | eabs (x) |
a0353055 | 1363 | unsigned EMUSHORT x[]; |
985b6196 | 1364 | { |
a0353055 RK |
1365 | /* sign is top bit of last word of external format */ |
1366 | x[NE - 1] &= 0x7fff; | |
985b6196 RS |
1367 | } |
1368 | ||
defb5dab | 1369 | /* Negate external format number. */ |
985b6196 | 1370 | |
a0353055 | 1371 | static void |
985b6196 RS |
1372 | eneg (x) |
1373 | unsigned EMUSHORT x[]; | |
1374 | { | |
1375 | ||
1376 | x[NE - 1] ^= 0x8000; /* Toggle the sign bit */ | |
1377 | } | |
1378 | ||
1379 | ||
1380 | ||
defb5dab RK |
1381 | /* Return 1 if sign bit of external format number is nonzero, else zero. */ |
1382 | ||
a0353055 | 1383 | static int |
985b6196 RS |
1384 | eisneg (x) |
1385 | unsigned EMUSHORT x[]; | |
1386 | { | |
1387 | ||
1388 | if (x[NE - 1] & 0x8000) | |
1389 | return (1); | |
1390 | else | |
1391 | return (0); | |
1392 | } | |
1393 | ||
1394 | ||
defb5dab | 1395 | /* Return 1 if external format number is infinity, else return zero. */ |
a0353055 RK |
1396 | |
1397 | static int | |
985b6196 RS |
1398 | eisinf (x) |
1399 | unsigned EMUSHORT x[]; | |
1400 | { | |
1401 | ||
66b6d60b RS |
1402 | #ifdef NANS |
1403 | if (eisnan (x)) | |
1404 | return (0); | |
1405 | #endif | |
985b6196 RS |
1406 | if ((x[NE - 1] & 0x7fff) == 0x7fff) |
1407 | return (1); | |
1408 | else | |
1409 | return (0); | |
1410 | } | |
1411 | ||
1412 | ||
defb5dab RK |
1413 | /* Check if e-type number is not a number. The bit pattern is one that we |
1414 | defined, so we know for sure how to detect it. */ | |
66b6d60b | 1415 | |
a0353055 | 1416 | static int |
66b6d60b RS |
1417 | eisnan (x) |
1418 | unsigned EMUSHORT x[]; | |
1419 | { | |
66b6d60b RS |
1420 | #ifdef NANS |
1421 | int i; | |
defb5dab RK |
1422 | |
1423 | /* NaN has maximum exponent */ | |
66b6d60b RS |
1424 | if ((x[NE - 1] & 0x7fff) != 0x7fff) |
1425 | return (0); | |
defb5dab | 1426 | /* ... and non-zero significand field. */ |
66b6d60b RS |
1427 | for (i = 0; i < NE - 1; i++) |
1428 | { | |
1429 | if (*x++ != 0) | |
1430 | return (1); | |
1431 | } | |
1432 | #endif | |
defb5dab | 1433 | |
66b6d60b RS |
1434 | return (0); |
1435 | } | |
1436 | ||
1437 | /* Fill external format number with infinity pattern (IEEE) | |
842fbaaa | 1438 | or largest possible number (non-IEEE). */ |
985b6196 | 1439 | |
a0353055 | 1440 | static void |
985b6196 RS |
1441 | einfin (x) |
1442 | register unsigned EMUSHORT *x; | |
1443 | { | |
1444 | register int i; | |
1445 | ||
1446 | #ifdef INFINITY | |
1447 | for (i = 0; i < NE - 1; i++) | |
1448 | *x++ = 0; | |
1449 | *x |= 32767; | |
1450 | #else | |
1451 | for (i = 0; i < NE - 1; i++) | |
1452 | *x++ = 0xffff; | |
1453 | *x |= 32766; | |
1454 | if (rndprc < NBITS) | |
1455 | { | |
842fbaaa JW |
1456 | if (rndprc == 113) |
1457 | { | |
1458 | *(x - 9) = 0; | |
1459 | *(x - 8) = 0; | |
1460 | } | |
985b6196 RS |
1461 | if (rndprc == 64) |
1462 | { | |
1463 | *(x - 5) = 0; | |
1464 | } | |
1465 | if (rndprc == 53) | |
1466 | { | |
1467 | *(x - 4) = 0xf800; | |
1468 | } | |
1469 | else | |
1470 | { | |
1471 | *(x - 4) = 0; | |
1472 | *(x - 3) = 0; | |
1473 | *(x - 2) = 0xff00; | |
1474 | } | |
1475 | } | |
1476 | #endif | |
1477 | } | |
1478 | ||
1479 | ||
66b6d60b RS |
1480 | /* Output an e-type NaN. |
1481 | This generates Intel's quiet NaN pattern for extended real. | |
1482 | The exponent is 7fff, the leading mantissa word is c000. */ | |
1483 | ||
a0353055 | 1484 | static void |
29e11dab | 1485 | enan (x, sign) |
66b6d60b | 1486 | register unsigned EMUSHORT *x; |
29e11dab | 1487 | int sign; |
66b6d60b RS |
1488 | { |
1489 | register int i; | |
1490 | ||
1491 | for (i = 0; i < NE - 2; i++) | |
1492 | *x++ = 0; | |
1493 | *x++ = 0xc000; | |
29e11dab | 1494 | *x = (sign << 15) | 0x7fff; |
66b6d60b RS |
1495 | } |
1496 | ||
985b6196 | 1497 | |
defb5dab RK |
1498 | /* Move in external format number, converting it to internal format. */ |
1499 | ||
a0353055 | 1500 | static void |
985b6196 RS |
1501 | emovi (a, b) |
1502 | unsigned EMUSHORT *a, *b; | |
1503 | { | |
1504 | register unsigned EMUSHORT *p, *q; | |
1505 | int i; | |
1506 | ||
1507 | q = b; | |
1508 | p = a + (NE - 1); /* point to last word of external number */ | |
1509 | /* get the sign bit */ | |
1510 | if (*p & 0x8000) | |
1511 | *q++ = 0xffff; | |
1512 | else | |
1513 | *q++ = 0; | |
1514 | /* get the exponent */ | |
1515 | *q = *p--; | |
1516 | *q++ &= 0x7fff; /* delete the sign bit */ | |
1517 | #ifdef INFINITY | |
1518 | if ((*(q - 1) & 0x7fff) == 0x7fff) | |
1519 | { | |
66b6d60b RS |
1520 | #ifdef NANS |
1521 | if (eisnan (a)) | |
1522 | { | |
1523 | *q++ = 0; | |
1524 | for (i = 3; i < NI; i++) | |
1525 | *q++ = *p--; | |
1526 | return; | |
1527 | } | |
1528 | #endif | |
defb5dab | 1529 | |
985b6196 RS |
1530 | for (i = 2; i < NI; i++) |
1531 | *q++ = 0; | |
1532 | return; | |
1533 | } | |
1534 | #endif | |
defb5dab | 1535 | |
985b6196 RS |
1536 | /* clear high guard word */ |
1537 | *q++ = 0; | |
1538 | /* move in the significand */ | |
1539 | for (i = 0; i < NE - 1; i++) | |
1540 | *q++ = *p--; | |
1541 | /* clear low guard word */ | |
1542 | *q = 0; | |
1543 | } | |
1544 | ||
1545 | ||
defb5dab RK |
1546 | /* Move internal format number out, converting it to external format. */ |
1547 | ||
a0353055 | 1548 | static void |
985b6196 RS |
1549 | emovo (a, b) |
1550 | unsigned EMUSHORT *a, *b; | |
1551 | { | |
1552 | register unsigned EMUSHORT *p, *q; | |
1553 | unsigned EMUSHORT i; | |
239b043b | 1554 | int j; |
985b6196 RS |
1555 | |
1556 | p = a; | |
1557 | q = b + (NE - 1); /* point to output exponent */ | |
1558 | /* combine sign and exponent */ | |
1559 | i = *p++; | |
1560 | if (i) | |
1561 | *q-- = *p++ | 0x8000; | |
1562 | else | |
1563 | *q-- = *p++; | |
1564 | #ifdef INFINITY | |
1565 | if (*(p - 1) == 0x7fff) | |
1566 | { | |
66b6d60b RS |
1567 | #ifdef NANS |
1568 | if (eiisnan (a)) | |
1569 | { | |
29e11dab | 1570 | enan (b, eiisneg (a)); |
66b6d60b RS |
1571 | return; |
1572 | } | |
1573 | #endif | |
985b6196 | 1574 | einfin (b); |
842fbaaa | 1575 | return; |
985b6196 RS |
1576 | } |
1577 | #endif | |
1578 | /* skip over guard word */ | |
1579 | ++p; | |
1580 | /* move the significand */ | |
239b043b | 1581 | for (j = 0; j < NE - 1; j++) |
985b6196 RS |
1582 | *q-- = *p++; |
1583 | } | |
1584 | ||
defb5dab | 1585 | /* Clear out internal format number. */ |
985b6196 | 1586 | |
a0353055 | 1587 | static void |
985b6196 RS |
1588 | ecleaz (xi) |
1589 | register unsigned EMUSHORT *xi; | |
1590 | { | |
1591 | register int i; | |
1592 | ||
1593 | for (i = 0; i < NI; i++) | |
1594 | *xi++ = 0; | |
1595 | } | |
1596 | ||
1597 | ||
defb5dab | 1598 | /* Same, but don't touch the sign. */ |
985b6196 | 1599 | |
a0353055 | 1600 | static void |
985b6196 RS |
1601 | ecleazs (xi) |
1602 | register unsigned EMUSHORT *xi; | |
1603 | { | |
1604 | register int i; | |
1605 | ||
1606 | ++xi; | |
1607 | for (i = 0; i < NI - 1; i++) | |
1608 | *xi++ = 0; | |
1609 | } | |
1610 | ||
1611 | ||
1612 | ||
defb5dab | 1613 | /* Move internal format number from a to b. */ |
a0353055 RK |
1614 | |
1615 | static void | |
985b6196 RS |
1616 | emovz (a, b) |
1617 | register unsigned EMUSHORT *a, *b; | |
1618 | { | |
1619 | register int i; | |
1620 | ||
1621 | for (i = 0; i < NI - 1; i++) | |
1622 | *b++ = *a++; | |
1623 | /* clear low guard word */ | |
1624 | *b = 0; | |
1625 | } | |
1626 | ||
66b6d60b RS |
1627 | /* Generate internal format NaN. |
1628 | The explicit pattern for this is maximum exponent and | |
defb5dab | 1629 | top two significant bits set. */ |
66b6d60b | 1630 | |
a0353055 | 1631 | static void |
66b6d60b RS |
1632 | einan (x) |
1633 | unsigned EMUSHORT x[]; | |
1634 | { | |
1635 | ||
1636 | ecleaz (x); | |
1637 | x[E] = 0x7fff; | |
1638 | x[M + 1] = 0xc000; | |
1639 | } | |
1640 | ||
1641 | /* Return nonzero if internal format number is a NaN. */ | |
1642 | ||
a0353055 | 1643 | static int |
66b6d60b RS |
1644 | eiisnan (x) |
1645 | unsigned EMUSHORT x[]; | |
1646 | { | |
1647 | int i; | |
1648 | ||
1649 | if ((x[E] & 0x7fff) == 0x7fff) | |
1650 | { | |
1651 | for (i = M + 1; i < NI; i++) | |
1652 | { | |
1653 | if (x[i] != 0) | |
1654 | return (1); | |
1655 | } | |
1656 | } | |
1657 | return (0); | |
1658 | } | |
1659 | ||
29e11dab RK |
1660 | /* Return nonzero if sign of internal format number is nonzero. */ |
1661 | ||
a0353055 | 1662 | static int |
29e11dab RK |
1663 | eiisneg (x) |
1664 | unsigned EMUSHORT x[]; | |
1665 | { | |
1666 | ||
1667 | return x[0] != 0; | |
1668 | } | |
1669 | ||
66b6d60b RS |
1670 | /* Fill internal format number with infinity pattern. |
1671 | This has maximum exponent and significand all zeros. */ | |
1672 | ||
a0353055 | 1673 | static void |
66b6d60b RS |
1674 | eiinfin (x) |
1675 | unsigned EMUSHORT x[]; | |
1676 | { | |
1677 | ||
1678 | ecleaz (x); | |
1679 | x[E] = 0x7fff; | |
1680 | } | |
1681 | ||
1682 | /* Return nonzero if internal format number is infinite. */ | |
1683 | ||
a0353055 | 1684 | static int |
66b6d60b RS |
1685 | eiisinf (x) |
1686 | unsigned EMUSHORT x[]; | |
1687 | { | |
1688 | ||
1689 | #ifdef NANS | |
1690 | if (eiisnan (x)) | |
1691 | return (0); | |
1692 | #endif | |
1693 | if ((x[E] & 0x7fff) == 0x7fff) | |
1694 | return (1); | |
1695 | return (0); | |
1696 | } | |
1697 | ||
985b6196 | 1698 | |
defb5dab RK |
1699 | /* Compare significands of numbers in internal format. |
1700 | Guard words are included in the comparison. | |
1701 | ||
1702 | Returns +1 if a > b | |
1703 | 0 if a == b | |
1704 | -1 if a < b */ | |
a0353055 RK |
1705 | |
1706 | static int | |
985b6196 RS |
1707 | ecmpm (a, b) |
1708 | register unsigned EMUSHORT *a, *b; | |
1709 | { | |
1710 | int i; | |
1711 | ||
1712 | a += M; /* skip up to significand area */ | |
1713 | b += M; | |
1714 | for (i = M; i < NI; i++) | |
1715 | { | |
1716 | if (*a++ != *b++) | |
1717 | goto difrnt; | |
1718 | } | |
1719 | return (0); | |
1720 | ||
1721 | difrnt: | |
1722 | if (*(--a) > *(--b)) | |
1723 | return (1); | |
1724 | else | |
1725 | return (-1); | |
1726 | } | |
1727 | ||
1728 | ||
defb5dab | 1729 | /* Shift significand down by 1 bit. */ |
985b6196 | 1730 | |
a0353055 | 1731 | static void |
985b6196 RS |
1732 | eshdn1 (x) |
1733 | register unsigned EMUSHORT *x; | |
1734 | { | |
1735 | register unsigned EMUSHORT bits; | |
1736 | int i; | |
1737 | ||
1738 | x += M; /* point to significand area */ | |
1739 | ||
1740 | bits = 0; | |
1741 | for (i = M; i < NI; i++) | |
1742 | { | |
1743 | if (*x & 1) | |
1744 | bits |= 1; | |
1745 | *x >>= 1; | |
1746 | if (bits & 2) | |
1747 | *x |= 0x8000; | |
1748 | bits <<= 1; | |
1749 | ++x; | |
1750 | } | |
1751 | } | |
1752 | ||
1753 | ||
1754 | ||
defb5dab | 1755 | /* Shift significand up by 1 bit. */ |
985b6196 | 1756 | |
a0353055 | 1757 | static void |
985b6196 RS |
1758 | eshup1 (x) |
1759 | register unsigned EMUSHORT *x; | |
1760 | { | |
1761 | register unsigned EMUSHORT bits; | |
1762 | int i; | |
1763 | ||
1764 | x += NI - 1; | |
1765 | bits = 0; | |
1766 | ||
1767 | for (i = M; i < NI; i++) | |
1768 | { | |
1769 | if (*x & 0x8000) | |
1770 | bits |= 1; | |
1771 | *x <<= 1; | |
1772 | if (bits & 2) | |
1773 | *x |= 1; | |
1774 | bits <<= 1; | |
1775 | --x; | |
1776 | } | |
1777 | } | |
1778 | ||
1779 | ||
defb5dab | 1780 | /* Shift significand down by 8 bits. */ |
985b6196 | 1781 | |
a0353055 | 1782 | static void |
985b6196 RS |
1783 | eshdn8 (x) |
1784 | register unsigned EMUSHORT *x; | |
1785 | { | |
1786 | register unsigned EMUSHORT newbyt, oldbyt; | |
1787 | int i; | |
1788 | ||
1789 | x += M; | |
1790 | oldbyt = 0; | |
1791 | for (i = M; i < NI; i++) | |
1792 | { | |
1793 | newbyt = *x << 8; | |
1794 | *x >>= 8; | |
1795 | *x |= oldbyt; | |
1796 | oldbyt = newbyt; | |
1797 | ++x; | |
1798 | } | |
1799 | } | |
1800 | ||
defb5dab | 1801 | /* Shift significand up by 8 bits. */ |
985b6196 | 1802 | |
a0353055 | 1803 | static void |
985b6196 RS |
1804 | eshup8 (x) |
1805 | register unsigned EMUSHORT *x; | |
1806 | { | |
1807 | int i; | |
1808 | register unsigned EMUSHORT newbyt, oldbyt; | |
1809 | ||
1810 | x += NI - 1; | |
1811 | oldbyt = 0; | |
1812 | ||
1813 | for (i = M; i < NI; i++) | |
1814 | { | |
1815 | newbyt = *x >> 8; | |
1816 | *x <<= 8; | |
1817 | *x |= oldbyt; | |
1818 | oldbyt = newbyt; | |
1819 | --x; | |
1820 | } | |
1821 | } | |
1822 | ||
defb5dab | 1823 | /* Shift significand up by 16 bits. */ |
985b6196 | 1824 | |
a0353055 | 1825 | static void |
985b6196 RS |
1826 | eshup6 (x) |
1827 | register unsigned EMUSHORT *x; | |
1828 | { | |
1829 | int i; | |
1830 | register unsigned EMUSHORT *p; | |
1831 | ||
1832 | p = x + M; | |
1833 | x += M + 1; | |
1834 | ||
1835 | for (i = M; i < NI - 1; i++) | |
1836 | *p++ = *x++; | |
1837 | ||
1838 | *p = 0; | |
1839 | } | |
1840 | ||
defb5dab | 1841 | /* Shift significand down by 16 bits. */ |
985b6196 | 1842 | |
a0353055 | 1843 | static void |
985b6196 RS |
1844 | eshdn6 (x) |
1845 | register unsigned EMUSHORT *x; | |
1846 | { | |
1847 | int i; | |
1848 | register unsigned EMUSHORT *p; | |
1849 | ||
1850 | x += NI - 1; | |
1851 | p = x + 1; | |
1852 | ||
1853 | for (i = M; i < NI - 1; i++) | |
1854 | *(--p) = *(--x); | |
1855 | ||
1856 | *(--p) = 0; | |
1857 | } | |
1858 | \f | |
defb5dab | 1859 | /* Add significands. x + y replaces y. */ |
985b6196 | 1860 | |
a0353055 | 1861 | static void |
985b6196 RS |
1862 | eaddm (x, y) |
1863 | unsigned EMUSHORT *x, *y; | |
1864 | { | |
1865 | register unsigned EMULONG a; | |
1866 | int i; | |
1867 | unsigned int carry; | |
1868 | ||
1869 | x += NI - 1; | |
1870 | y += NI - 1; | |
1871 | carry = 0; | |
1872 | for (i = M; i < NI; i++) | |
1873 | { | |
1874 | a = (unsigned EMULONG) (*x) + (unsigned EMULONG) (*y) + carry; | |
1875 | if (a & 0x10000) | |
1876 | carry = 1; | |
1877 | else | |
1878 | carry = 0; | |
1879 | *y = (unsigned EMUSHORT) a; | |
1880 | --x; | |
1881 | --y; | |
1882 | } | |
1883 | } | |
1884 | ||
defb5dab | 1885 | /* Subtract significands. y - x replaces y. */ |
985b6196 | 1886 | |
a0353055 | 1887 | static void |
985b6196 RS |
1888 | esubm (x, y) |
1889 | unsigned EMUSHORT *x, *y; | |
1890 | { | |
1891 | unsigned EMULONG a; | |
1892 | int i; | |
1893 | unsigned int carry; | |
1894 | ||
1895 | x += NI - 1; | |
1896 | y += NI - 1; | |
1897 | carry = 0; | |
1898 | for (i = M; i < NI; i++) | |
1899 | { | |
1900 | a = (unsigned EMULONG) (*y) - (unsigned EMULONG) (*x) - carry; | |
1901 | if (a & 0x10000) | |
1902 | carry = 1; | |
1903 | else | |
1904 | carry = 0; | |
1905 | *y = (unsigned EMUSHORT) a; | |
1906 | --x; | |
1907 | --y; | |
1908 | } | |
1909 | } | |
1910 | ||
1911 | ||
985b6196 RS |
1912 | static unsigned EMUSHORT equot[NI]; |
1913 | ||
842fbaaa JW |
1914 | |
1915 | #if 0 | |
1916 | /* Radix 2 shift-and-add versions of multiply and divide */ | |
1917 | ||
1918 | ||
1919 | /* Divide significands */ | |
1920 | ||
985b6196 RS |
1921 | int |
1922 | edivm (den, num) | |
1923 | unsigned EMUSHORT den[], num[]; | |
1924 | { | |
1925 | int i; | |
1926 | register unsigned EMUSHORT *p, *q; | |
1927 | unsigned EMUSHORT j; | |
1928 | ||
1929 | p = &equot[0]; | |
1930 | *p++ = num[0]; | |
1931 | *p++ = num[1]; | |
1932 | ||
1933 | for (i = M; i < NI; i++) | |
1934 | { | |
1935 | *p++ = 0; | |
1936 | } | |
1937 | ||
defb5dab RK |
1938 | /* Use faster compare and subtraction if denominator has only 15 bits of |
1939 | significance. */ | |
1940 | ||
985b6196 RS |
1941 | p = &den[M + 2]; |
1942 | if (*p++ == 0) | |
1943 | { | |
1944 | for (i = M + 3; i < NI; i++) | |
1945 | { | |
1946 | if (*p++ != 0) | |
1947 | goto fulldiv; | |
1948 | } | |
1949 | if ((den[M + 1] & 1) != 0) | |
1950 | goto fulldiv; | |
1951 | eshdn1 (num); | |
1952 | eshdn1 (den); | |
1953 | ||
1954 | p = &den[M + 1]; | |
1955 | q = &num[M + 1]; | |
1956 | ||
1957 | for (i = 0; i < NBITS + 2; i++) | |
1958 | { | |
1959 | if (*p <= *q) | |
1960 | { | |
1961 | *q -= *p; | |
1962 | j = 1; | |
1963 | } | |
1964 | else | |
1965 | { | |
1966 | j = 0; | |
1967 | } | |
1968 | eshup1 (equot); | |
1969 | equot[NI - 2] |= j; | |
1970 | eshup1 (num); | |
1971 | } | |
1972 | goto divdon; | |
1973 | } | |
1974 | ||
defb5dab RK |
1975 | /* The number of quotient bits to calculate is NBITS + 1 scaling guard |
1976 | bit + 1 roundoff bit. */ | |
1977 | ||
985b6196 RS |
1978 | fulldiv: |
1979 | ||
1980 | p = &equot[NI - 2]; | |
1981 | for (i = 0; i < NBITS + 2; i++) | |
1982 | { | |
1983 | if (ecmpm (den, num) <= 0) | |
1984 | { | |
1985 | esubm (den, num); | |
1986 | j = 1; /* quotient bit = 1 */ | |
1987 | } | |
1988 | else | |
1989 | j = 0; | |
1990 | eshup1 (equot); | |
1991 | *p |= j; | |
1992 | eshup1 (num); | |
1993 | } | |
1994 | ||
1995 | divdon: | |
1996 | ||
1997 | eshdn1 (equot); | |
1998 | eshdn1 (equot); | |
1999 | ||
2000 | /* test for nonzero remainder after roundoff bit */ | |
2001 | p = &num[M]; | |
2002 | j = 0; | |
2003 | for (i = M; i < NI; i++) | |
2004 | { | |
2005 | j |= *p++; | |
2006 | } | |
2007 | if (j) | |
2008 | j = 1; | |
2009 | ||
2010 | ||
2011 | for (i = 0; i < NI; i++) | |
2012 | num[i] = equot[i]; | |
2013 | return ((int) j); | |
2014 | } | |
2015 | ||
2016 | ||
2017 | /* Multiply significands */ | |
2018 | int | |
2019 | emulm (a, b) | |
2020 | unsigned EMUSHORT a[], b[]; | |
2021 | { | |
2022 | unsigned EMUSHORT *p, *q; | |
2023 | int i, j, k; | |
2024 | ||
2025 | equot[0] = b[0]; | |
2026 | equot[1] = b[1]; | |
2027 | for (i = M; i < NI; i++) | |
2028 | equot[i] = 0; | |
2029 | ||
2030 | p = &a[NI - 2]; | |
2031 | k = NBITS; | |
defb5dab | 2032 | while (*p == 0) /* significand is not supposed to be zero */ |
985b6196 RS |
2033 | { |
2034 | eshdn6 (a); | |
2035 | k -= 16; | |
2036 | } | |
2037 | if ((*p & 0xff) == 0) | |
2038 | { | |
2039 | eshdn8 (a); | |
2040 | k -= 8; | |
2041 | } | |
2042 | ||
2043 | q = &equot[NI - 1]; | |
2044 | j = 0; | |
2045 | for (i = 0; i < k; i++) | |
2046 | { | |
2047 | if (*p & 1) | |
2048 | eaddm (b, equot); | |
2049 | /* remember if there were any nonzero bits shifted out */ | |
2050 | if (*q & 1) | |
2051 | j |= 1; | |
2052 | eshdn1 (a); | |
2053 | eshdn1 (equot); | |
2054 | } | |
2055 | ||
2056 | for (i = 0; i < NI; i++) | |
2057 | b[i] = equot[i]; | |
2058 | ||
2059 | /* return flag for lost nonzero bits */ | |
2060 | return (j); | |
2061 | } | |
2062 | ||
842fbaaa JW |
2063 | #else |
2064 | ||
2065 | /* Radix 65536 versions of multiply and divide */ | |
2066 | ||
2067 | ||
2068 | /* Multiply significand of e-type number b | |
a0353055 | 2069 | by 16-bit quantity a, e-type result to c. */ |
842fbaaa | 2070 | |
a0353055 | 2071 | static void |
242cef1e | 2072 | m16m (a, b, c) |
c92d992a | 2073 | unsigned int a; |
242cef1e | 2074 | unsigned short b[], c[]; |
842fbaaa | 2075 | { |
242cef1e RS |
2076 | register unsigned short *pp; |
2077 | register unsigned long carry; | |
2078 | unsigned short *ps; | |
2079 | unsigned short p[NI]; | |
2080 | unsigned long aa, m; | |
2081 | int i; | |
2082 | ||
2083 | aa = a; | |
2084 | pp = &p[NI-2]; | |
2085 | *pp++ = 0; | |
2086 | *pp = 0; | |
2087 | ps = &b[NI-1]; | |
2088 | ||
2089 | for (i=M+1; i<NI; i++) | |
2090 | { | |
2091 | if (*ps == 0) | |
842fbaaa | 2092 | { |
242cef1e RS |
2093 | --ps; |
2094 | --pp; | |
2095 | *(pp-1) = 0; | |
842fbaaa | 2096 | } |
242cef1e RS |
2097 | else |
2098 | { | |
2099 | m = (unsigned long) aa * *ps--; | |
2100 | carry = (m & 0xffff) + *pp; | |
2101 | *pp-- = (unsigned short)carry; | |
2102 | carry = (carry >> 16) + (m >> 16) + *pp; | |
2103 | *pp = (unsigned short)carry; | |
2104 | *(pp-1) = carry >> 16; | |
2105 | } | |
2106 | } | |
2107 | for (i=M; i<NI; i++) | |
2108 | c[i] = p[i]; | |
842fbaaa JW |
2109 | } |
2110 | ||
2111 | ||
2112 | /* Divide significands. Neither the numerator nor the denominator | |
242cef1e | 2113 | is permitted to have its high guard word nonzero. */ |
842fbaaa | 2114 | |
a0353055 | 2115 | static int |
242cef1e RS |
2116 | edivm (den, num) |
2117 | unsigned short den[], num[]; | |
842fbaaa | 2118 | { |
242cef1e RS |
2119 | int i; |
2120 | register unsigned short *p; | |
2121 | unsigned long tnum; | |
2122 | unsigned short j, tdenm, tquot; | |
2123 | unsigned short tprod[NI+1]; | |
842fbaaa | 2124 | |
242cef1e RS |
2125 | p = &equot[0]; |
2126 | *p++ = num[0]; | |
2127 | *p++ = num[1]; | |
842fbaaa | 2128 | |
242cef1e RS |
2129 | for (i=M; i<NI; i++) |
2130 | { | |
2131 | *p++ = 0; | |
2132 | } | |
2133 | eshdn1 (num); | |
2134 | tdenm = den[M+1]; | |
2135 | for (i=M; i<NI; i++) | |
2136 | { | |
2137 | /* Find trial quotient digit (the radix is 65536). */ | |
2138 | tnum = (((unsigned long) num[M]) << 16) + num[M+1]; | |
2139 | ||
2140 | /* Do not execute the divide instruction if it will overflow. */ | |
2141 | if ((tdenm * 0xffffL) < tnum) | |
2142 | tquot = 0xffff; | |
2143 | else | |
2144 | tquot = tnum / tdenm; | |
2145 | /* Multiply denominator by trial quotient digit. */ | |
c92d992a | 2146 | m16m ((unsigned int)tquot, den, tprod); |
242cef1e RS |
2147 | /* The quotient digit may have been overestimated. */ |
2148 | if (ecmpm (tprod, num) > 0) | |
842fbaaa | 2149 | { |
242cef1e RS |
2150 | tquot -= 1; |
2151 | esubm (den, tprod); | |
2152 | if (ecmpm (tprod, num) > 0) | |
2153 | { | |
2154 | tquot -= 1; | |
2155 | esubm (den, tprod); | |
2156 | } | |
842fbaaa | 2157 | } |
242cef1e RS |
2158 | esubm (tprod, num); |
2159 | equot[i] = tquot; | |
2160 | eshup6(num); | |
2161 | } | |
2162 | /* test for nonzero remainder after roundoff bit */ | |
2163 | p = &num[M]; | |
2164 | j = 0; | |
2165 | for (i=M; i<NI; i++) | |
2166 | { | |
2167 | j |= *p++; | |
2168 | } | |
2169 | if (j) | |
2170 | j = 1; | |
842fbaaa | 2171 | |
242cef1e RS |
2172 | for (i=0; i<NI; i++) |
2173 | num[i] = equot[i]; | |
842fbaaa | 2174 | |
242cef1e | 2175 | return ((int)j); |
842fbaaa JW |
2176 | } |
2177 | ||
2178 | ||
2179 | ||
2180 | /* Multiply significands */ | |
a0353055 | 2181 | static int |
242cef1e RS |
2182 | emulm (a, b) |
2183 | unsigned short a[], b[]; | |
842fbaaa | 2184 | { |
242cef1e RS |
2185 | unsigned short *p, *q; |
2186 | unsigned short pprod[NI]; | |
2187 | unsigned short j; | |
2188 | int i; | |
2189 | ||
2190 | equot[0] = b[0]; | |
2191 | equot[1] = b[1]; | |
2192 | for (i=M; i<NI; i++) | |
2193 | equot[i] = 0; | |
2194 | ||
2195 | j = 0; | |
2196 | p = &a[NI-1]; | |
2197 | q = &equot[NI-1]; | |
2198 | for (i=M+1; i<NI; i++) | |
2199 | { | |
2200 | if (*p == 0) | |
842fbaaa | 2201 | { |
242cef1e RS |
2202 | --p; |
2203 | } | |
2204 | else | |
2205 | { | |
c92d992a | 2206 | m16m ((unsigned int) *p--, b, pprod); |
242cef1e | 2207 | eaddm(pprod, equot); |
842fbaaa | 2208 | } |
242cef1e RS |
2209 | j |= *q; |
2210 | eshdn6(equot); | |
2211 | } | |
842fbaaa | 2212 | |
242cef1e RS |
2213 | for (i=0; i<NI; i++) |
2214 | b[i] = equot[i]; | |
842fbaaa | 2215 | |
242cef1e RS |
2216 | /* return flag for lost nonzero bits */ |
2217 | return ((int)j); | |
842fbaaa JW |
2218 | } |
2219 | #endif | |
985b6196 RS |
2220 | |
2221 | ||
defb5dab | 2222 | /* Normalize and round off. |
985b6196 | 2223 | |
defb5dab RK |
2224 | The internal format number to be rounded is "s". |
2225 | Input "lost" indicates whether or not the number is exact. | |
2226 | This is the so-called sticky bit. | |
2227 | ||
2228 | Input "subflg" indicates whether the number was obtained | |
2229 | by a subtraction operation. In that case if lost is nonzero | |
2230 | then the number is slightly smaller than indicated. | |
2231 | ||
2232 | Input "exp" is the biased exponent, which may be negative. | |
2233 | the exponent field of "s" is ignored but is replaced by | |
2234 | "exp" as adjusted by normalization and rounding. | |
2235 | ||
2236 | Input "rcntrl" is the rounding control. | |
2237 | ||
2238 | For future reference: In order for emdnorm to round off denormal | |
842fbaaa JW |
2239 | significands at the right point, the input exponent must be |
2240 | adjusted to be the actual value it would have after conversion to | |
2241 | the final floating point type. This adjustment has been | |
2242 | implemented for all type conversions (etoe53, etc.) and decimal | |
2243 | conversions, but not for the arithmetic functions (eadd, etc.). | |
2244 | Data types having standard 15-bit exponents are not affected by | |
2245 | this, but SFmode and DFmode are affected. For example, ediv with | |
2246 | rndprc = 24 will not round correctly to 24-bit precision if the | |
2247 | result is denormal. */ | |
2248 | ||
985b6196 RS |
2249 | static int rlast = -1; |
2250 | static int rw = 0; | |
2251 | static unsigned EMUSHORT rmsk = 0; | |
2252 | static unsigned EMUSHORT rmbit = 0; | |
2253 | static unsigned EMUSHORT rebit = 0; | |
2254 | static int re = 0; | |
2255 | static unsigned EMUSHORT rbit[NI]; | |
2256 | ||
a0353055 | 2257 | static void |
985b6196 RS |
2258 | emdnorm (s, lost, subflg, exp, rcntrl) |
2259 | unsigned EMUSHORT s[]; | |
2260 | int lost; | |
2261 | int subflg; | |
2262 | EMULONG exp; | |
2263 | int rcntrl; | |
2264 | { | |
2265 | int i, j; | |
2266 | unsigned EMUSHORT r; | |
2267 | ||
2268 | /* Normalize */ | |
2269 | j = enormlz (s); | |
2270 | ||
2271 | /* a blank significand could mean either zero or infinity. */ | |
2272 | #ifndef INFINITY | |
2273 | if (j > NBITS) | |
2274 | { | |
2275 | ecleazs (s); | |
2276 | return; | |
2277 | } | |
2278 | #endif | |
2279 | exp -= j; | |
2280 | #ifndef INFINITY | |
2281 | if (exp >= 32767L) | |
2282 | goto overf; | |
2283 | #else | |
2284 | if ((j > NBITS) && (exp < 32767)) | |
2285 | { | |
2286 | ecleazs (s); | |
2287 | return; | |
2288 | } | |
2289 | #endif | |
2290 | if (exp < 0L) | |
2291 | { | |
2292 | if (exp > (EMULONG) (-NBITS - 1)) | |
2293 | { | |
2294 | j = (int) exp; | |
2295 | i = eshift (s, j); | |
2296 | if (i) | |
2297 | lost = 1; | |
2298 | } | |
2299 | else | |
2300 | { | |
2301 | ecleazs (s); | |
2302 | return; | |
2303 | } | |
2304 | } | |
2305 | /* Round off, unless told not to by rcntrl. */ | |
2306 | if (rcntrl == 0) | |
2307 | goto mdfin; | |
2308 | /* Set up rounding parameters if the control register changed. */ | |
2309 | if (rndprc != rlast) | |
2310 | { | |
2311 | ecleaz (rbit); | |
2312 | switch (rndprc) | |
2313 | { | |
2314 | default: | |
2315 | case NBITS: | |
2316 | rw = NI - 1; /* low guard word */ | |
2317 | rmsk = 0xffff; | |
2318 | rmbit = 0x8000; | |
842fbaaa | 2319 | re = rw - 1; |
985b6196 RS |
2320 | rebit = 1; |
2321 | break; | |
842fbaaa JW |
2322 | case 113: |
2323 | rw = 10; | |
2324 | rmsk = 0x7fff; | |
2325 | rmbit = 0x4000; | |
2326 | rebit = 0x8000; | |
2327 | re = rw; | |
2328 | break; | |
985b6196 RS |
2329 | case 64: |
2330 | rw = 7; | |
2331 | rmsk = 0xffff; | |
2332 | rmbit = 0x8000; | |
985b6196 RS |
2333 | re = rw - 1; |
2334 | rebit = 1; | |
2335 | break; | |
842fbaaa | 2336 | /* For DEC or IBM arithmetic */ |
985b6196 RS |
2337 | case 56: |
2338 | rw = 6; | |
2339 | rmsk = 0xff; | |
2340 | rmbit = 0x80; | |
985b6196 | 2341 | rebit = 0x100; |
842fbaaa | 2342 | re = rw; |
985b6196 RS |
2343 | break; |
2344 | case 53: | |
2345 | rw = 6; | |
2346 | rmsk = 0x7ff; | |
2347 | rmbit = 0x0400; | |
985b6196 | 2348 | rebit = 0x800; |
842fbaaa | 2349 | re = rw; |
985b6196 RS |
2350 | break; |
2351 | case 24: | |
2352 | rw = 4; | |
2353 | rmsk = 0xff; | |
2354 | rmbit = 0x80; | |
985b6196 | 2355 | rebit = 0x100; |
842fbaaa | 2356 | re = rw; |
985b6196 RS |
2357 | break; |
2358 | } | |
842fbaaa | 2359 | rbit[re] = rebit; |
985b6196 RS |
2360 | rlast = rndprc; |
2361 | } | |
2362 | ||
842fbaaa JW |
2363 | /* Shift down 1 temporarily if the data structure has an implied |
2364 | most significant bit and the number is denormal. */ | |
2365 | if ((exp <= 0) && (rndprc != 64) && (rndprc != NBITS)) | |
985b6196 | 2366 | { |
842fbaaa JW |
2367 | lost |= s[NI - 1] & 1; |
2368 | eshdn1 (s); | |
985b6196 | 2369 | } |
842fbaaa JW |
2370 | /* Clear out all bits below the rounding bit, |
2371 | remembering in r if any were nonzero. */ | |
2372 | r = s[rw] & rmsk; | |
2373 | if (rndprc < NBITS) | |
985b6196 | 2374 | { |
985b6196 RS |
2375 | i = rw + 1; |
2376 | while (i < NI) | |
2377 | { | |
2378 | if (s[i]) | |
2379 | r |= 1; | |
2380 | s[i] = 0; | |
2381 | ++i; | |
2382 | } | |
985b6196 | 2383 | } |
afb817fd | 2384 | s[rw] &= ~rmsk; |
985b6196 RS |
2385 | if ((r & rmbit) != 0) |
2386 | { | |
2387 | if (r == rmbit) | |
2388 | { | |
2389 | if (lost == 0) | |
2390 | { /* round to even */ | |
2391 | if ((s[re] & rebit) == 0) | |
2392 | goto mddone; | |
2393 | } | |
2394 | else | |
2395 | { | |
2396 | if (subflg != 0) | |
2397 | goto mddone; | |
2398 | } | |
2399 | } | |
2400 | eaddm (rbit, s); | |
2401 | } | |
2402 | mddone: | |
842fbaaa | 2403 | if ((exp <= 0) && (rndprc != 64) && (rndprc != NBITS)) |
985b6196 RS |
2404 | { |
2405 | eshup1 (s); | |
2406 | } | |
2407 | if (s[2] != 0) | |
2408 | { /* overflow on roundoff */ | |
2409 | eshdn1 (s); | |
2410 | exp += 1; | |
2411 | } | |
2412 | mdfin: | |
2413 | s[NI - 1] = 0; | |
2414 | if (exp >= 32767L) | |
2415 | { | |
2416 | #ifndef INFINITY | |
2417 | overf: | |
2418 | #endif | |
2419 | #ifdef INFINITY | |
2420 | s[1] = 32767; | |
2421 | for (i = 2; i < NI - 1; i++) | |
2422 | s[i] = 0; | |
64685ffa RS |
2423 | if (extra_warnings) |
2424 | warning ("floating point overflow"); | |
985b6196 RS |
2425 | #else |
2426 | s[1] = 32766; | |
2427 | s[2] = 0; | |
2428 | for (i = M + 1; i < NI - 1; i++) | |
2429 | s[i] = 0xffff; | |
2430 | s[NI - 1] = 0; | |
842fbaaa | 2431 | if ((rndprc < 64) || (rndprc == 113)) |
985b6196 RS |
2432 | { |
2433 | s[rw] &= ~rmsk; | |
2434 | if (rndprc == 24) | |
2435 | { | |
2436 | s[5] = 0; | |
2437 | s[6] = 0; | |
2438 | } | |
2439 | } | |
2440 | #endif | |
2441 | return; | |
2442 | } | |
2443 | if (exp < 0) | |
2444 | s[1] = 0; | |
2445 | else | |
2446 | s[1] = (unsigned EMUSHORT) exp; | |
2447 | } | |
2448 | ||
2449 | ||
2450 | ||
defb5dab | 2451 | /* Subtract external format numbers. */ |
985b6196 RS |
2452 | |
2453 | static int subflg = 0; | |
2454 | ||
a0353055 | 2455 | static void |
985b6196 RS |
2456 | esub (a, b, c) |
2457 | unsigned EMUSHORT *a, *b, *c; | |
2458 | { | |
2459 | ||
66b6d60b RS |
2460 | #ifdef NANS |
2461 | if (eisnan (a)) | |
2462 | { | |
2463 | emov (a, c); | |
2464 | return; | |
2465 | } | |
2466 | if (eisnan (b)) | |
2467 | { | |
2468 | emov (b, c); | |
2469 | return; | |
2470 | } | |
2471 | /* Infinity minus infinity is a NaN. | |
2472 | Test for subtracting infinities of the same sign. */ | |
2473 | if (eisinf (a) && eisinf (b) | |
2474 | && ((eisneg (a) ^ eisneg (b)) == 0)) | |
2475 | { | |
2476 | mtherr ("esub", INVALID); | |
29e11dab | 2477 | enan (c, 0); |
66b6d60b RS |
2478 | return; |
2479 | } | |
2480 | #endif | |
985b6196 RS |
2481 | subflg = 1; |
2482 | eadd1 (a, b, c); | |
2483 | } | |
2484 | ||
2485 | ||
defb5dab | 2486 | /* Add. */ |
a0353055 RK |
2487 | |
2488 | static void | |
985b6196 RS |
2489 | eadd (a, b, c) |
2490 | unsigned EMUSHORT *a, *b, *c; | |
2491 | { | |
2492 | ||
66b6d60b RS |
2493 | #ifdef NANS |
2494 | /* NaN plus anything is a NaN. */ | |
2495 | if (eisnan (a)) | |
2496 | { | |
2497 | emov (a, c); | |
2498 | return; | |
2499 | } | |
2500 | if (eisnan (b)) | |
2501 | { | |
2502 | emov (b, c); | |
2503 | return; | |
2504 | } | |
2505 | /* Infinity minus infinity is a NaN. | |
2506 | Test for adding infinities of opposite signs. */ | |
2507 | if (eisinf (a) && eisinf (b) | |
2508 | && ((eisneg (a) ^ eisneg (b)) != 0)) | |
2509 | { | |
2510 | mtherr ("esub", INVALID); | |
29e11dab | 2511 | enan (c, 0); |
66b6d60b RS |
2512 | return; |
2513 | } | |
2514 | #endif | |
985b6196 RS |
2515 | subflg = 0; |
2516 | eadd1 (a, b, c); | |
2517 | } | |
2518 | ||
a0353055 | 2519 | static void |
985b6196 RS |
2520 | eadd1 (a, b, c) |
2521 | unsigned EMUSHORT *a, *b, *c; | |
2522 | { | |
2523 | unsigned EMUSHORT ai[NI], bi[NI], ci[NI]; | |
2524 | int i, lost, j, k; | |
2525 | EMULONG lt, lta, ltb; | |
2526 | ||
2527 | #ifdef INFINITY | |
2528 | if (eisinf (a)) | |
2529 | { | |
2530 | emov (a, c); | |
2531 | if (subflg) | |
2532 | eneg (c); | |
2533 | return; | |
2534 | } | |
2535 | if (eisinf (b)) | |
2536 | { | |
2537 | emov (b, c); | |
2538 | return; | |
2539 | } | |
2540 | #endif | |
2541 | emovi (a, ai); | |
2542 | emovi (b, bi); | |
2543 | if (subflg) | |
2544 | ai[0] = ~ai[0]; | |
2545 | ||
2546 | /* compare exponents */ | |
2547 | lta = ai[E]; | |
2548 | ltb = bi[E]; | |
2549 | lt = lta - ltb; | |
2550 | if (lt > 0L) | |
2551 | { /* put the larger number in bi */ | |
2552 | emovz (bi, ci); | |
2553 | emovz (ai, bi); | |
2554 | emovz (ci, ai); | |
2555 | ltb = bi[E]; | |
2556 | lt = -lt; | |
2557 | } | |
2558 | lost = 0; | |
2559 | if (lt != 0L) | |
2560 | { | |
2561 | if (lt < (EMULONG) (-NBITS - 1)) | |
2562 | goto done; /* answer same as larger addend */ | |
2563 | k = (int) lt; | |
2564 | lost = eshift (ai, k); /* shift the smaller number down */ | |
2565 | } | |
2566 | else | |
2567 | { | |
2568 | /* exponents were the same, so must compare significands */ | |
2569 | i = ecmpm (ai, bi); | |
2570 | if (i == 0) | |
2571 | { /* the numbers are identical in magnitude */ | |
2572 | /* if different signs, result is zero */ | |
2573 | if (ai[0] != bi[0]) | |
2574 | { | |
2575 | eclear (c); | |
2576 | return; | |
2577 | } | |
2578 | /* if same sign, result is double */ | |
2579 | /* double denomalized tiny number */ | |
2580 | if ((bi[E] == 0) && ((bi[3] & 0x8000) == 0)) | |
2581 | { | |
2582 | eshup1 (bi); | |
2583 | goto done; | |
2584 | } | |
2585 | /* add 1 to exponent unless both are zero! */ | |
2586 | for (j = 1; j < NI - 1; j++) | |
2587 | { | |
2588 | if (bi[j] != 0) | |
2589 | { | |
2590 | /* This could overflow, but let emovo take care of that. */ | |
2591 | ltb += 1; | |
2592 | break; | |
2593 | } | |
2594 | } | |
2595 | bi[E] = (unsigned EMUSHORT) ltb; | |
2596 | goto done; | |
2597 | } | |
2598 | if (i > 0) | |
2599 | { /* put the larger number in bi */ | |
2600 | emovz (bi, ci); | |
2601 | emovz (ai, bi); | |
2602 | emovz (ci, ai); | |
2603 | } | |
2604 | } | |
2605 | if (ai[0] == bi[0]) | |
2606 | { | |
2607 | eaddm (ai, bi); | |
2608 | subflg = 0; | |
2609 | } | |
2610 | else | |
2611 | { | |
2612 | esubm (ai, bi); | |
2613 | subflg = 1; | |
2614 | } | |
2615 | emdnorm (bi, lost, subflg, ltb, 64); | |
2616 | ||
2617 | done: | |
2618 | emovo (bi, c); | |
2619 | } | |
2620 | ||
2621 | ||
2622 | ||
defb5dab | 2623 | /* Divide. */ |
a0353055 RK |
2624 | |
2625 | static void | |
985b6196 RS |
2626 | ediv (a, b, c) |
2627 | unsigned EMUSHORT *a, *b, *c; | |
2628 | { | |
2629 | unsigned EMUSHORT ai[NI], bi[NI]; | |
2630 | int i; | |
2631 | EMULONG lt, lta, ltb; | |
2632 | ||
66b6d60b RS |
2633 | #ifdef NANS |
2634 | /* Return any NaN input. */ | |
2635 | if (eisnan (a)) | |
2636 | { | |
2637 | emov (a, c); | |
2638 | return; | |
2639 | } | |
2640 | if (eisnan (b)) | |
2641 | { | |
2642 | emov (b, c); | |
2643 | return; | |
2644 | } | |
2645 | /* Zero over zero, or infinity over infinity, is a NaN. */ | |
2646 | if (((ecmp (a, ezero) == 0) && (ecmp (b, ezero) == 0)) | |
2647 | || (eisinf (a) && eisinf (b))) | |
2648 | { | |
2649 | mtherr ("ediv", INVALID); | |
29e11dab | 2650 | enan (c, eisneg (a) ^ eisneg (b)); |
66b6d60b RS |
2651 | return; |
2652 | } | |
2653 | #endif | |
2654 | /* Infinity over anything else is infinity. */ | |
985b6196 RS |
2655 | #ifdef INFINITY |
2656 | if (eisinf (b)) | |
2657 | { | |
2658 | if (eisneg (a) ^ eisneg (b)) | |
2659 | *(c + (NE - 1)) = 0x8000; | |
2660 | else | |
2661 | *(c + (NE - 1)) = 0; | |
2662 | einfin (c); | |
2663 | return; | |
2664 | } | |
66b6d60b | 2665 | /* Anything else over infinity is zero. */ |
985b6196 RS |
2666 | if (eisinf (a)) |
2667 | { | |
2668 | eclear (c); | |
2669 | return; | |
2670 | } | |
2671 | #endif | |
2672 | emovi (a, ai); | |
2673 | emovi (b, bi); | |
2674 | lta = ai[E]; | |
2675 | ltb = bi[E]; | |
2676 | if (bi[E] == 0) | |
2677 | { /* See if numerator is zero. */ | |
2678 | for (i = 1; i < NI - 1; i++) | |
2679 | { | |
2680 | if (bi[i] != 0) | |
2681 | { | |
2682 | ltb -= enormlz (bi); | |
2683 | goto dnzro1; | |
2684 | } | |
2685 | } | |
2686 | eclear (c); | |
2687 | return; | |
2688 | } | |
2689 | dnzro1: | |
2690 | ||
2691 | if (ai[E] == 0) | |
2692 | { /* possible divide by zero */ | |
2693 | for (i = 1; i < NI - 1; i++) | |
2694 | { | |
2695 | if (ai[i] != 0) | |
2696 | { | |
2697 | lta -= enormlz (ai); | |
2698 | goto dnzro2; | |
2699 | } | |
2700 | } | |
2701 | if (ai[0] == bi[0]) | |
2702 | *(c + (NE - 1)) = 0; | |
2703 | else | |
2704 | *(c + (NE - 1)) = 0x8000; | |
66b6d60b RS |
2705 | /* Divide by zero is not an invalid operation. |
2706 | It is a divide-by-zero operation! */ | |
985b6196 RS |
2707 | einfin (c); |
2708 | mtherr ("ediv", SING); | |
2709 | return; | |
2710 | } | |
2711 | dnzro2: | |
2712 | ||
2713 | i = edivm (ai, bi); | |
2714 | /* calculate exponent */ | |
2715 | lt = ltb - lta + EXONE; | |
2716 | emdnorm (bi, i, 0, lt, 64); | |
2717 | /* set the sign */ | |
2718 | if (ai[0] == bi[0]) | |
2719 | bi[0] = 0; | |
2720 | else | |
2721 | bi[0] = 0Xffff; | |
2722 | emovo (bi, c); | |
2723 | } | |
2724 | ||
2725 | ||
2726 | ||
defb5dab | 2727 | /* Multiply. */ |
a0353055 RK |
2728 | |
2729 | static void | |
985b6196 RS |
2730 | emul (a, b, c) |
2731 | unsigned EMUSHORT *a, *b, *c; | |
2732 | { | |
2733 | unsigned EMUSHORT ai[NI], bi[NI]; | |
2734 | int i, j; | |
2735 | EMULONG lt, lta, ltb; | |
2736 | ||
66b6d60b RS |
2737 | #ifdef NANS |
2738 | /* NaN times anything is the same NaN. */ | |
2739 | if (eisnan (a)) | |
2740 | { | |
2741 | emov (a, c); | |
2742 | return; | |
2743 | } | |
2744 | if (eisnan (b)) | |
2745 | { | |
2746 | emov (b, c); | |
2747 | return; | |
2748 | } | |
2749 | /* Zero times infinity is a NaN. */ | |
2750 | if ((eisinf (a) && (ecmp (b, ezero) == 0)) | |
2751 | || (eisinf (b) && (ecmp (a, ezero) == 0))) | |
2752 | { | |
2753 | mtherr ("emul", INVALID); | |
29e11dab | 2754 | enan (c, eisneg (a) ^ eisneg (b)); |
66b6d60b RS |
2755 | return; |
2756 | } | |
2757 | #endif | |
2758 | /* Infinity times anything else is infinity. */ | |
985b6196 RS |
2759 | #ifdef INFINITY |
2760 | if (eisinf (a) || eisinf (b)) | |
2761 | { | |
2762 | if (eisneg (a) ^ eisneg (b)) | |
2763 | *(c + (NE - 1)) = 0x8000; | |
2764 | else | |
2765 | *(c + (NE - 1)) = 0; | |
2766 | einfin (c); | |
2767 | return; | |
2768 | } | |
2769 | #endif | |
2770 | emovi (a, ai); | |
2771 | emovi (b, bi); | |
2772 | lta = ai[E]; | |
2773 | ltb = bi[E]; | |
2774 | if (ai[E] == 0) | |
2775 | { | |
2776 | for (i = 1; i < NI - 1; i++) | |
2777 | { | |
2778 | if (ai[i] != 0) | |
2779 | { | |
2780 | lta -= enormlz (ai); | |
2781 | goto mnzer1; | |
2782 | } | |
2783 | } | |
2784 | eclear (c); | |
2785 | return; | |
2786 | } | |
2787 | mnzer1: | |
2788 | ||
2789 | if (bi[E] == 0) | |
2790 | { | |
2791 | for (i = 1; i < NI - 1; i++) | |
2792 | { | |
2793 | if (bi[i] != 0) | |
2794 | { | |
2795 | ltb -= enormlz (bi); | |
2796 | goto mnzer2; | |
2797 | } | |
2798 | } | |
2799 | eclear (c); | |
2800 | return; | |
2801 | } | |
2802 | mnzer2: | |
2803 | ||
2804 | /* Multiply significands */ | |
2805 | j = emulm (ai, bi); | |
2806 | /* calculate exponent */ | |
2807 | lt = lta + ltb - (EXONE - 1); | |
2808 | emdnorm (bi, j, 0, lt, 64); | |
2809 | /* calculate sign of product */ | |
2810 | if (ai[0] == bi[0]) | |
2811 | bi[0] = 0; | |
2812 | else | |
2813 | bi[0] = 0xffff; | |
2814 | emovo (bi, c); | |
2815 | } | |
2816 | ||
2817 | ||
2818 | ||
2819 | ||
defb5dab | 2820 | /* Convert IEEE double precision to e type. */ |
a0353055 RK |
2821 | |
2822 | static void | |
66b6d60b RS |
2823 | e53toe (pe, y) |
2824 | unsigned EMUSHORT *pe, *y; | |
985b6196 RS |
2825 | { |
2826 | #ifdef DEC | |
2827 | ||
66b6d60b | 2828 | dectoe (pe, y); /* see etodec.c */ |
985b6196 RS |
2829 | |
2830 | #else | |
842fbaaa JW |
2831 | #ifdef IBM |
2832 | ||
2833 | ibmtoe (pe, y, DFmode); | |
985b6196 | 2834 | |
842fbaaa | 2835 | #else |
985b6196 | 2836 | register unsigned EMUSHORT r; |
66b6d60b | 2837 | register unsigned EMUSHORT *e, *p; |
985b6196 RS |
2838 | unsigned EMUSHORT yy[NI]; |
2839 | int denorm, k; | |
2840 | ||
66b6d60b | 2841 | e = pe; |
985b6196 RS |
2842 | denorm = 0; /* flag if denormalized number */ |
2843 | ecleaz (yy); | |
2844 | #ifdef IBMPC | |
2845 | e += 3; | |
2846 | #endif | |
2847 | r = *e; | |
2848 | yy[0] = 0; | |
2849 | if (r & 0x8000) | |
2850 | yy[0] = 0xffff; | |
2851 | yy[M] = (r & 0x0f) | 0x10; | |
2852 | r &= ~0x800f; /* strip sign and 4 significand bits */ | |
2853 | #ifdef INFINITY | |
2854 | if (r == 0x7ff0) | |
2855 | { | |
66b6d60b RS |
2856 | #ifdef NANS |
2857 | #ifdef IBMPC | |
2858 | if (((pe[3] & 0xf) != 0) || (pe[2] != 0) | |
2859 | || (pe[1] != 0) || (pe[0] != 0)) | |
2860 | { | |
29e11dab | 2861 | enan (y, yy[0] != 0); |
66b6d60b RS |
2862 | return; |
2863 | } | |
2864 | #else | |
2865 | if (((pe[0] & 0xf) != 0) || (pe[1] != 0) | |
2866 | || (pe[2] != 0) || (pe[3] != 0)) | |
2867 | { | |
29e11dab | 2868 | enan (y, yy[0] != 0); |
66b6d60b RS |
2869 | return; |
2870 | } | |
2871 | #endif | |
2872 | #endif /* NANS */ | |
dca821e1 | 2873 | eclear (y); |
985b6196 | 2874 | einfin (y); |
dca821e1 | 2875 | if (yy[0]) |
985b6196 RS |
2876 | eneg (y); |
2877 | return; | |
2878 | } | |
66b6d60b | 2879 | #endif /* INFINITY */ |
985b6196 RS |
2880 | r >>= 4; |
2881 | /* If zero exponent, then the significand is denormalized. | |
defb5dab RK |
2882 | So take back the understood high significand bit. */ |
2883 | ||
985b6196 RS |
2884 | if (r == 0) |
2885 | { | |
2886 | denorm = 1; | |
2887 | yy[M] &= ~0x10; | |
2888 | } | |
2889 | r += EXONE - 01777; | |
2890 | yy[E] = r; | |
2891 | p = &yy[M + 1]; | |
2892 | #ifdef IBMPC | |
2893 | *p++ = *(--e); | |
2894 | *p++ = *(--e); | |
2895 | *p++ = *(--e); | |
2896 | #endif | |
2897 | #ifdef MIEEE | |
2898 | ++e; | |
2899 | *p++ = *e++; | |
2900 | *p++ = *e++; | |
2901 | *p++ = *e++; | |
2902 | #endif | |
64685ffa | 2903 | eshift (yy, -5); |
985b6196 RS |
2904 | if (denorm) |
2905 | { /* if zero exponent, then normalize the significand */ | |
2906 | if ((k = enormlz (yy)) > NBITS) | |
2907 | ecleazs (yy); | |
2908 | else | |
2909 | yy[E] -= (unsigned EMUSHORT) (k - 1); | |
2910 | } | |
2911 | emovo (yy, y); | |
842fbaaa | 2912 | #endif /* not IBM */ |
985b6196 RS |
2913 | #endif /* not DEC */ |
2914 | } | |
2915 | ||
a0353055 | 2916 | static void |
66b6d60b RS |
2917 | e64toe (pe, y) |
2918 | unsigned EMUSHORT *pe, *y; | |
985b6196 RS |
2919 | { |
2920 | unsigned EMUSHORT yy[NI]; | |
66b6d60b | 2921 | unsigned EMUSHORT *e, *p, *q; |
985b6196 RS |
2922 | int i; |
2923 | ||
66b6d60b | 2924 | e = pe; |
985b6196 RS |
2925 | p = yy; |
2926 | for (i = 0; i < NE - 5; i++) | |
2927 | *p++ = 0; | |
2928 | #ifdef IBMPC | |
2929 | for (i = 0; i < 5; i++) | |
2930 | *p++ = *e++; | |
2931 | #endif | |
842fbaaa | 2932 | /* This precision is not ordinarily supported on DEC or IBM. */ |
985b6196 RS |
2933 | #ifdef DEC |
2934 | for (i = 0; i < 5; i++) | |
2935 | *p++ = *e++; | |
2936 | #endif | |
842fbaaa JW |
2937 | #ifdef IBM |
2938 | p = &yy[0] + (NE - 1); | |
2939 | *p-- = *e++; | |
2940 | ++e; | |
2941 | for (i = 0; i < 5; i++) | |
2942 | *p-- = *e++; | |
2943 | #endif | |
985b6196 RS |
2944 | #ifdef MIEEE |
2945 | p = &yy[0] + (NE - 1); | |
2946 | *p-- = *e++; | |
2947 | ++e; | |
2948 | for (i = 0; i < 4; i++) | |
2949 | *p-- = *e++; | |
2950 | #endif | |
2951 | p = yy; | |
2952 | q = y; | |
2953 | #ifdef INFINITY | |
2954 | if (*p == 0x7fff) | |
2955 | { | |
66b6d60b RS |
2956 | #ifdef NANS |
2957 | #ifdef IBMPC | |
2958 | for (i = 0; i < 4; i++) | |
2959 | { | |
2960 | if (pe[i] != 0) | |
2961 | { | |
29e11dab | 2962 | enan (y, (*p & 0x8000) != 0); |
66b6d60b RS |
2963 | return; |
2964 | } | |
2965 | } | |
2966 | #else | |
2967 | for (i = 1; i <= 4; i++) | |
2968 | { | |
2969 | if (pe[i] != 0) | |
2970 | { | |
29e11dab | 2971 | enan (y, (*p & 0x8000) != 0); |
66b6d60b RS |
2972 | return; |
2973 | } | |
2974 | } | |
2975 | #endif | |
2976 | #endif /* NANS */ | |
dca821e1 | 2977 | eclear (y); |
985b6196 RS |
2978 | einfin (y); |
2979 | if (*p & 0x8000) | |
2980 | eneg (y); | |
2981 | return; | |
2982 | } | |
66b6d60b | 2983 | #endif /* INFINITY */ |
985b6196 RS |
2984 | for (i = 0; i < NE; i++) |
2985 | *q++ = *p++; | |
2986 | } | |
2987 | ||
2988 | ||
a0353055 | 2989 | static void |
842fbaaa | 2990 | e113toe (pe, y) |
66b6d60b | 2991 | unsigned EMUSHORT *pe, *y; |
985b6196 RS |
2992 | { |
2993 | register unsigned EMUSHORT r; | |
842fbaaa | 2994 | unsigned EMUSHORT *e, *p; |
985b6196 | 2995 | unsigned EMUSHORT yy[NI]; |
842fbaaa | 2996 | int denorm, i; |
985b6196 | 2997 | |
66b6d60b | 2998 | e = pe; |
842fbaaa | 2999 | denorm = 0; |
985b6196 RS |
3000 | ecleaz (yy); |
3001 | #ifdef IBMPC | |
842fbaaa | 3002 | e += 7; |
985b6196 RS |
3003 | #endif |
3004 | r = *e; | |
3005 | yy[0] = 0; | |
3006 | if (r & 0x8000) | |
3007 | yy[0] = 0xffff; | |
842fbaaa | 3008 | r &= 0x7fff; |
985b6196 | 3009 | #ifdef INFINITY |
842fbaaa | 3010 | if (r == 0x7fff) |
985b6196 | 3011 | { |
66b6d60b | 3012 | #ifdef NANS |
842fbaaa JW |
3013 | #ifdef IBMPC |
3014 | for (i = 0; i < 7; i++) | |
66b6d60b | 3015 | { |
842fbaaa JW |
3016 | if (pe[i] != 0) |
3017 | { | |
29e11dab | 3018 | enan (y, yy[0] != 0); |
842fbaaa JW |
3019 | return; |
3020 | } | |
66b6d60b RS |
3021 | } |
3022 | #else | |
842fbaaa | 3023 | for (i = 1; i < 8; i++) |
66b6d60b | 3024 | { |
842fbaaa JW |
3025 | if (pe[i] != 0) |
3026 | { | |
29e11dab | 3027 | enan (y, yy[0] != 0); |
842fbaaa JW |
3028 | return; |
3029 | } | |
66b6d60b RS |
3030 | } |
3031 | #endif | |
842fbaaa | 3032 | #endif /* NANS */ |
dca821e1 | 3033 | eclear (y); |
985b6196 | 3034 | einfin (y); |
dca821e1 | 3035 | if (yy[0]) |
985b6196 RS |
3036 | eneg (y); |
3037 | return; | |
3038 | } | |
66b6d60b | 3039 | #endif /* INFINITY */ |
985b6196 RS |
3040 | yy[E] = r; |
3041 | p = &yy[M + 1]; | |
3042 | #ifdef IBMPC | |
842fbaaa JW |
3043 | for (i = 0; i < 7; i++) |
3044 | *p++ = *(--e); | |
985b6196 RS |
3045 | #endif |
3046 | #ifdef MIEEE | |
3047 | ++e; | |
842fbaaa JW |
3048 | for (i = 0; i < 7; i++) |
3049 | *p++ = *e++; | |
985b6196 | 3050 | #endif |
842fbaaa JW |
3051 | /* If denormal, remove the implied bit; else shift down 1. */ |
3052 | if (r == 0) | |
3053 | { | |
3054 | yy[M] = 0; | |
3055 | } | |
3056 | else | |
3057 | { | |
3058 | yy[M] = 1; | |
3059 | eshift (yy, -1); | |
3060 | } | |
3061 | emovo (yy, y); | |
3062 | } | |
3063 | ||
3064 | ||
defb5dab | 3065 | /* Convert IEEE single precision to e type. */ |
a0353055 RK |
3066 | |
3067 | static void | |
842fbaaa JW |
3068 | e24toe (pe, y) |
3069 | unsigned EMUSHORT *pe, *y; | |
3070 | { | |
3071 | #ifdef IBM | |
3072 | ||
3073 | ibmtoe (pe, y, SFmode); | |
3074 | ||
3075 | #else | |
3076 | register unsigned EMUSHORT r; | |
3077 | register unsigned EMUSHORT *e, *p; | |
3078 | unsigned EMUSHORT yy[NI]; | |
3079 | int denorm, k; | |
3080 | ||
3081 | e = pe; | |
3082 | denorm = 0; /* flag if denormalized number */ | |
3083 | ecleaz (yy); | |
3084 | #ifdef IBMPC | |
3085 | e += 1; | |
3086 | #endif | |
3087 | #ifdef DEC | |
3088 | e += 1; | |
3089 | #endif | |
3090 | r = *e; | |
3091 | yy[0] = 0; | |
3092 | if (r & 0x8000) | |
3093 | yy[0] = 0xffff; | |
3094 | yy[M] = (r & 0x7f) | 0200; | |
3095 | r &= ~0x807f; /* strip sign and 7 significand bits */ | |
3096 | #ifdef INFINITY | |
3097 | if (r == 0x7f80) | |
3098 | { | |
3099 | #ifdef NANS | |
3100 | #ifdef MIEEE | |
3101 | if (((pe[0] & 0x7f) != 0) || (pe[1] != 0)) | |
3102 | { | |
29e11dab | 3103 | enan (y, yy[0] != 0); |
842fbaaa JW |
3104 | return; |
3105 | } | |
3106 | #else | |
3107 | if (((pe[1] & 0x7f) != 0) || (pe[0] != 0)) | |
3108 | { | |
29e11dab | 3109 | enan (y, yy[0] != 0); |
842fbaaa JW |
3110 | return; |
3111 | } | |
3112 | #endif | |
3113 | #endif /* NANS */ | |
3114 | eclear (y); | |
3115 | einfin (y); | |
3116 | if (yy[0]) | |
3117 | eneg (y); | |
3118 | return; | |
3119 | } | |
3120 | #endif /* INFINITY */ | |
3121 | r >>= 7; | |
3122 | /* If zero exponent, then the significand is denormalized. | |
defb5dab | 3123 | So take back the understood high significand bit. */ |
842fbaaa JW |
3124 | if (r == 0) |
3125 | { | |
3126 | denorm = 1; | |
3127 | yy[M] &= ~0200; | |
3128 | } | |
3129 | r += EXONE - 0177; | |
3130 | yy[E] = r; | |
3131 | p = &yy[M + 1]; | |
3132 | #ifdef IBMPC | |
3133 | *p++ = *(--e); | |
3134 | #endif | |
3135 | #ifdef DEC | |
3136 | *p++ = *(--e); | |
3137 | #endif | |
3138 | #ifdef MIEEE | |
3139 | ++e; | |
3140 | *p++ = *e++; | |
3141 | #endif | |
3142 | eshift (yy, -8); | |
3143 | if (denorm) | |
3144 | { /* if zero exponent, then normalize the significand */ | |
3145 | if ((k = enormlz (yy)) > NBITS) | |
3146 | ecleazs (yy); | |
3147 | else | |
3148 | yy[E] -= (unsigned EMUSHORT) (k - 1); | |
985b6196 RS |
3149 | } |
3150 | emovo (yy, y); | |
842fbaaa JW |
3151 | #endif /* not IBM */ |
3152 | } | |
3153 | ||
3154 | ||
a0353055 | 3155 | static void |
842fbaaa JW |
3156 | etoe113 (x, e) |
3157 | unsigned EMUSHORT *x, *e; | |
3158 | { | |
3159 | unsigned EMUSHORT xi[NI]; | |
3160 | EMULONG exp; | |
3161 | int rndsav; | |
3162 | ||
3163 | #ifdef NANS | |
3164 | if (eisnan (x)) | |
3165 | { | |
29e11dab | 3166 | make_nan (e, eisneg (x), TFmode); |
842fbaaa JW |
3167 | return; |
3168 | } | |
3169 | #endif | |
3170 | emovi (x, xi); | |
3171 | exp = (EMULONG) xi[E]; | |
3172 | #ifdef INFINITY | |
3173 | if (eisinf (x)) | |
3174 | goto nonorm; | |
3175 | #endif | |
3176 | /* round off to nearest or even */ | |
3177 | rndsav = rndprc; | |
3178 | rndprc = 113; | |
3179 | emdnorm (xi, 0, 0, exp, 64); | |
3180 | rndprc = rndsav; | |
3181 | nonorm: | |
3182 | toe113 (xi, e); | |
985b6196 RS |
3183 | } |
3184 | ||
defb5dab | 3185 | /* Move out internal format to ieee long double */ |
a0353055 | 3186 | |
842fbaaa JW |
3187 | static void |
3188 | toe113 (a, b) | |
3189 | unsigned EMUSHORT *a, *b; | |
3190 | { | |
3191 | register unsigned EMUSHORT *p, *q; | |
3192 | unsigned EMUSHORT i; | |
3193 | ||
3194 | #ifdef NANS | |
3195 | if (eiisnan (a)) | |
3196 | { | |
29e11dab | 3197 | make_nan (b, eiisneg (a), TFmode); |
842fbaaa JW |
3198 | return; |
3199 | } | |
3200 | #endif | |
3201 | p = a; | |
3202 | #ifdef MIEEE | |
3203 | q = b; | |
3204 | #else | |
3205 | q = b + 7; /* point to output exponent */ | |
3206 | #endif | |
3207 | ||
3208 | /* If not denormal, delete the implied bit. */ | |
3209 | if (a[E] != 0) | |
3210 | { | |
3211 | eshup1 (a); | |
3212 | } | |
3213 | /* combine sign and exponent */ | |
3214 | i = *p++; | |
3215 | #ifdef MIEEE | |
3216 | if (i) | |
3217 | *q++ = *p++ | 0x8000; | |
3218 | else | |
3219 | *q++ = *p++; | |
3220 | #else | |
3221 | if (i) | |
3222 | *q-- = *p++ | 0x8000; | |
3223 | else | |
3224 | *q-- = *p++; | |
3225 | #endif | |
3226 | /* skip over guard word */ | |
3227 | ++p; | |
3228 | /* move the significand */ | |
3229 | #ifdef MIEEE | |
3230 | for (i = 0; i < 7; i++) | |
3231 | *q++ = *p++; | |
3232 | #else | |
3233 | for (i = 0; i < 7; i++) | |
3234 | *q-- = *p++; | |
3235 | #endif | |
3236 | } | |
985b6196 | 3237 | |
a0353055 | 3238 | static void |
985b6196 RS |
3239 | etoe64 (x, e) |
3240 | unsigned EMUSHORT *x, *e; | |
3241 | { | |
3242 | unsigned EMUSHORT xi[NI]; | |
3243 | EMULONG exp; | |
3244 | int rndsav; | |
3245 | ||
66b6d60b RS |
3246 | #ifdef NANS |
3247 | if (eisnan (x)) | |
3248 | { | |
29e11dab | 3249 | make_nan (e, eisneg (x), XFmode); |
66b6d60b RS |
3250 | return; |
3251 | } | |
3252 | #endif | |
985b6196 RS |
3253 | emovi (x, xi); |
3254 | /* adjust exponent for offset */ | |
3255 | exp = (EMULONG) xi[E]; | |
3256 | #ifdef INFINITY | |
3257 | if (eisinf (x)) | |
3258 | goto nonorm; | |
3259 | #endif | |
3260 | /* round off to nearest or even */ | |
3261 | rndsav = rndprc; | |
3262 | rndprc = 64; | |
3263 | emdnorm (xi, 0, 0, exp, 64); | |
3264 | rndprc = rndsav; | |
3265 | nonorm: | |
3266 | toe64 (xi, e); | |
3267 | } | |
3268 | ||
a0353055 | 3269 | |
defb5dab RK |
3270 | /* Move out internal format to ieee long double. */ |
3271 | ||
985b6196 RS |
3272 | static void |
3273 | toe64 (a, b) | |
3274 | unsigned EMUSHORT *a, *b; | |
3275 | { | |
3276 | register unsigned EMUSHORT *p, *q; | |
3277 | unsigned EMUSHORT i; | |
3278 | ||
66b6d60b RS |
3279 | #ifdef NANS |
3280 | if (eiisnan (a)) | |
3281 | { | |
29e11dab | 3282 | make_nan (b, eiisneg (a), XFmode); |
66b6d60b RS |
3283 | return; |
3284 | } | |
3285 | #endif | |
985b6196 | 3286 | p = a; |
842fbaaa | 3287 | #if defined(MIEEE) || defined(IBM) |
985b6196 RS |
3288 | q = b; |
3289 | #else | |
3290 | q = b + 4; /* point to output exponent */ | |
3291 | #if LONG_DOUBLE_TYPE_SIZE == 96 | |
3292 | /* Clear the last two bytes of 12-byte Intel format */ | |
3293 | *(q+1) = 0; | |
3294 | #endif | |
3295 | #endif | |
3296 | ||
3297 | /* combine sign and exponent */ | |
3298 | i = *p++; | |
842fbaaa | 3299 | #if defined(MIEEE) || defined(IBM) |
985b6196 RS |
3300 | if (i) |
3301 | *q++ = *p++ | 0x8000; | |
3302 | else | |
3303 | *q++ = *p++; | |
3304 | *q++ = 0; | |
3305 | #else | |
3306 | if (i) | |
3307 | *q-- = *p++ | 0x8000; | |
3308 | else | |
3309 | *q-- = *p++; | |
3310 | #endif | |
3311 | /* skip over guard word */ | |
3312 | ++p; | |
3313 | /* move the significand */ | |
842fbaaa | 3314 | #if defined(MIEEE) || defined(IBM) |
985b6196 RS |
3315 | for (i = 0; i < 4; i++) |
3316 | *q++ = *p++; | |
3317 | #else | |
3318 | for (i = 0; i < 4; i++) | |
3319 | *q-- = *p++; | |
3320 | #endif | |
3321 | } | |
3322 | ||
3323 | ||
defb5dab | 3324 | /* e type to IEEE double precision. */ |
985b6196 RS |
3325 | |
3326 | #ifdef DEC | |
3327 | ||
a0353055 | 3328 | static void |
985b6196 RS |
3329 | etoe53 (x, e) |
3330 | unsigned EMUSHORT *x, *e; | |
3331 | { | |
3332 | etodec (x, e); /* see etodec.c */ | |
3333 | } | |
3334 | ||
3335 | static void | |
3336 | toe53 (x, y) | |
3337 | unsigned EMUSHORT *x, *y; | |
3338 | { | |
3339 | todec (x, y); | |
3340 | } | |
3341 | ||
3342 | #else | |
842fbaaa JW |
3343 | #ifdef IBM |
3344 | ||
008f0d36 | 3345 | static void |
842fbaaa JW |
3346 | etoe53 (x, e) |
3347 | unsigned EMUSHORT *x, *e; | |
3348 | { | |
3349 | etoibm (x, e, DFmode); | |
3350 | } | |
3351 | ||
3352 | static void | |
3353 | toe53 (x, y) | |
3354 | unsigned EMUSHORT *x, *y; | |
3355 | { | |
3356 | toibm (x, y, DFmode); | |
3357 | } | |
3358 | ||
3359 | #else /* it's neither DEC nor IBM */ | |
985b6196 | 3360 | |
008f0d36 | 3361 | static void |
985b6196 RS |
3362 | etoe53 (x, e) |
3363 | unsigned EMUSHORT *x, *e; | |
3364 | { | |
3365 | unsigned EMUSHORT xi[NI]; | |
3366 | EMULONG exp; | |
3367 | int rndsav; | |
3368 | ||
66b6d60b RS |
3369 | #ifdef NANS |
3370 | if (eisnan (x)) | |
3371 | { | |
29e11dab | 3372 | make_nan (e, eisneg (x), DFmode); |
66b6d60b RS |
3373 | return; |
3374 | } | |
3375 | #endif | |
985b6196 RS |
3376 | emovi (x, xi); |
3377 | /* adjust exponent for offsets */ | |
3378 | exp = (EMULONG) xi[E] - (EXONE - 0x3ff); | |
3379 | #ifdef INFINITY | |
3380 | if (eisinf (x)) | |
3381 | goto nonorm; | |
3382 | #endif | |
3383 | /* round off to nearest or even */ | |
3384 | rndsav = rndprc; | |
3385 | rndprc = 53; | |
3386 | emdnorm (xi, 0, 0, exp, 64); | |
3387 | rndprc = rndsav; | |
3388 | nonorm: | |
3389 | toe53 (xi, e); | |
3390 | } | |
3391 | ||
3392 | ||
3393 | static void | |
3394 | toe53 (x, y) | |
3395 | unsigned EMUSHORT *x, *y; | |
3396 | { | |
3397 | unsigned EMUSHORT i; | |
3398 | unsigned EMUSHORT *p; | |
3399 | ||
66b6d60b RS |
3400 | #ifdef NANS |
3401 | if (eiisnan (x)) | |
3402 | { | |
29e11dab | 3403 | make_nan (y, eiisneg (x), DFmode); |
66b6d60b RS |
3404 | return; |
3405 | } | |
3406 | #endif | |
985b6196 RS |
3407 | p = &x[0]; |
3408 | #ifdef IBMPC | |
3409 | y += 3; | |
3410 | #endif | |
3411 | *y = 0; /* output high order */ | |
3412 | if (*p++) | |
3413 | *y = 0x8000; /* output sign bit */ | |
3414 | ||
3415 | i = *p++; | |
3416 | if (i >= (unsigned int) 2047) | |
3417 | { /* Saturate at largest number less than infinity. */ | |
3418 | #ifdef INFINITY | |
3419 | *y |= 0x7ff0; | |
3420 | #ifdef IBMPC | |
3421 | *(--y) = 0; | |
3422 | *(--y) = 0; | |
3423 | *(--y) = 0; | |
3424 | #endif | |
3425 | #ifdef MIEEE | |
3426 | ++y; | |
3427 | *y++ = 0; | |
3428 | *y++ = 0; | |
3429 | *y++ = 0; | |
3430 | #endif | |
3431 | #else | |
3432 | *y |= (unsigned EMUSHORT) 0x7fef; | |
3433 | #ifdef IBMPC | |
3434 | *(--y) = 0xffff; | |
3435 | *(--y) = 0xffff; | |
3436 | *(--y) = 0xffff; | |
3437 | #endif | |
3438 | #ifdef MIEEE | |
3439 | ++y; | |
3440 | *y++ = 0xffff; | |
3441 | *y++ = 0xffff; | |
3442 | *y++ = 0xffff; | |
3443 | #endif | |
3444 | #endif | |
3445 | return; | |
3446 | } | |
3447 | if (i == 0) | |
3448 | { | |
64685ffa | 3449 | eshift (x, 4); |
985b6196 RS |
3450 | } |
3451 | else | |
3452 | { | |
3453 | i <<= 4; | |
64685ffa | 3454 | eshift (x, 5); |
985b6196 RS |
3455 | } |
3456 | i |= *p++ & (unsigned EMUSHORT) 0x0f; /* *p = xi[M] */ | |
3457 | *y |= (unsigned EMUSHORT) i; /* high order output already has sign bit set */ | |
3458 | #ifdef IBMPC | |
3459 | *(--y) = *p++; | |
3460 | *(--y) = *p++; | |
3461 | *(--y) = *p; | |
3462 | #endif | |
3463 | #ifdef MIEEE | |
3464 | ++y; | |
3465 | *y++ = *p++; | |
3466 | *y++ = *p++; | |
3467 | *y++ = *p++; | |
3468 | #endif | |
3469 | } | |
3470 | ||
842fbaaa | 3471 | #endif /* not IBM */ |
985b6196 RS |
3472 | #endif /* not DEC */ |
3473 | ||
3474 | ||
3475 | ||
defb5dab RK |
3476 | /* e type to IEEE single precision. */ |
3477 | ||
842fbaaa JW |
3478 | #ifdef IBM |
3479 | ||
008f0d36 | 3480 | static void |
842fbaaa JW |
3481 | etoe24 (x, e) |
3482 | unsigned EMUSHORT *x, *e; | |
3483 | { | |
3484 | etoibm (x, e, SFmode); | |
3485 | } | |
3486 | ||
3487 | static void | |
3488 | toe24 (x, y) | |
3489 | unsigned EMUSHORT *x, *y; | |
3490 | { | |
3491 | toibm (x, y, SFmode); | |
3492 | } | |
3493 | ||
3494 | #else | |
3495 | ||
008f0d36 | 3496 | static void |
985b6196 RS |
3497 | etoe24 (x, e) |
3498 | unsigned EMUSHORT *x, *e; | |
3499 | { | |
3500 | EMULONG exp; | |
3501 | unsigned EMUSHORT xi[NI]; | |
3502 | int rndsav; | |
3503 | ||
66b6d60b RS |
3504 | #ifdef NANS |
3505 | if (eisnan (x)) | |
3506 | { | |
29e11dab | 3507 | make_nan (e, eisneg (x), SFmode); |
66b6d60b RS |
3508 | return; |
3509 | } | |
3510 | #endif | |
985b6196 RS |
3511 | emovi (x, xi); |
3512 | /* adjust exponent for offsets */ | |
3513 | exp = (EMULONG) xi[E] - (EXONE - 0177); | |
3514 | #ifdef INFINITY | |
3515 | if (eisinf (x)) | |
3516 | goto nonorm; | |
3517 | #endif | |
3518 | /* round off to nearest or even */ | |
3519 | rndsav = rndprc; | |
3520 | rndprc = 24; | |
3521 | emdnorm (xi, 0, 0, exp, 64); | |
3522 | rndprc = rndsav; | |
3523 | nonorm: | |
3524 | toe24 (xi, e); | |
3525 | } | |
3526 | ||
3527 | static void | |
3528 | toe24 (x, y) | |
3529 | unsigned EMUSHORT *x, *y; | |
3530 | { | |
3531 | unsigned EMUSHORT i; | |
3532 | unsigned EMUSHORT *p; | |
3533 | ||
66b6d60b RS |
3534 | #ifdef NANS |
3535 | if (eiisnan (x)) | |
3536 | { | |
29e11dab | 3537 | make_nan (y, eiisneg (x), SFmode); |
66b6d60b RS |
3538 | return; |
3539 | } | |
3540 | #endif | |
985b6196 RS |
3541 | p = &x[0]; |
3542 | #ifdef IBMPC | |
3543 | y += 1; | |
3544 | #endif | |
3545 | #ifdef DEC | |
3546 | y += 1; | |
3547 | #endif | |
3548 | *y = 0; /* output high order */ | |
3549 | if (*p++) | |
3550 | *y = 0x8000; /* output sign bit */ | |
3551 | ||
3552 | i = *p++; | |
64685ffa | 3553 | /* Handle overflow cases. */ |
985b6196 | 3554 | if (i >= 255) |
64685ffa | 3555 | { |
985b6196 RS |
3556 | #ifdef INFINITY |
3557 | *y |= (unsigned EMUSHORT) 0x7f80; | |
3558 | #ifdef IBMPC | |
3559 | *(--y) = 0; | |
3560 | #endif | |
3561 | #ifdef DEC | |
3562 | *(--y) = 0; | |
3563 | #endif | |
3564 | #ifdef MIEEE | |
3565 | ++y; | |
3566 | *y = 0; | |
3567 | #endif | |
64685ffa | 3568 | #else /* no INFINITY */ |
985b6196 RS |
3569 | *y |= (unsigned EMUSHORT) 0x7f7f; |
3570 | #ifdef IBMPC | |
3571 | *(--y) = 0xffff; | |
3572 | #endif | |
3573 | #ifdef DEC | |
3574 | *(--y) = 0xffff; | |
3575 | #endif | |
3576 | #ifdef MIEEE | |
3577 | ++y; | |
3578 | *y = 0xffff; | |
3579 | #endif | |
64685ffa RS |
3580 | #ifdef ERANGE |
3581 | errno = ERANGE; | |
985b6196 | 3582 | #endif |
64685ffa | 3583 | #endif /* no INFINITY */ |
985b6196 RS |
3584 | return; |
3585 | } | |
3586 | if (i == 0) | |
3587 | { | |
64685ffa | 3588 | eshift (x, 7); |
985b6196 RS |
3589 | } |
3590 | else | |
3591 | { | |
3592 | i <<= 7; | |
64685ffa | 3593 | eshift (x, 8); |
985b6196 RS |
3594 | } |
3595 | i |= *p++ & (unsigned EMUSHORT) 0x7f; /* *p = xi[M] */ | |
3596 | *y |= i; /* high order output already has sign bit set */ | |
3597 | #ifdef IBMPC | |
3598 | *(--y) = *p; | |
3599 | #endif | |
3600 | #ifdef DEC | |
3601 | *(--y) = *p; | |
3602 | #endif | |
3603 | #ifdef MIEEE | |
3604 | ++y; | |
3605 | *y = *p; | |
3606 | #endif | |
3607 | } | |
842fbaaa | 3608 | #endif /* not IBM */ |
985b6196 | 3609 | |
defb5dab RK |
3610 | /* Compare two e type numbers. |
3611 | Return +1 if a > b | |
3612 | 0 if a == b | |
3613 | -1 if a < b | |
3614 | -2 if either a or b is a NaN. */ | |
a0353055 RK |
3615 | |
3616 | static int | |
985b6196 RS |
3617 | ecmp (a, b) |
3618 | unsigned EMUSHORT *a, *b; | |
3619 | { | |
3620 | unsigned EMUSHORT ai[NI], bi[NI]; | |
3621 | register unsigned EMUSHORT *p, *q; | |
3622 | register int i; | |
3623 | int msign; | |
3624 | ||
66b6d60b RS |
3625 | #ifdef NANS |
3626 | if (eisnan (a) || eisnan (b)) | |
3627 | return (-2); | |
3628 | #endif | |
985b6196 RS |
3629 | emovi (a, ai); |
3630 | p = ai; | |
3631 | emovi (b, bi); | |
3632 | q = bi; | |
3633 | ||
3634 | if (*p != *q) | |
3635 | { /* the signs are different */ | |
3636 | /* -0 equals + 0 */ | |
3637 | for (i = 1; i < NI - 1; i++) | |
3638 | { | |
3639 | if (ai[i] != 0) | |
3640 | goto nzro; | |
3641 | if (bi[i] != 0) | |
3642 | goto nzro; | |
3643 | } | |
3644 | return (0); | |
3645 | nzro: | |
3646 | if (*p == 0) | |
3647 | return (1); | |
3648 | else | |
3649 | return (-1); | |
3650 | } | |
3651 | /* both are the same sign */ | |
3652 | if (*p == 0) | |
3653 | msign = 1; | |
3654 | else | |
3655 | msign = -1; | |
3656 | i = NI - 1; | |
3657 | do | |
3658 | { | |
3659 | if (*p++ != *q++) | |
3660 | { | |
3661 | goto diff; | |
3662 | } | |
3663 | } | |
3664 | while (--i > 0); | |
3665 | ||
3666 | return (0); /* equality */ | |
3667 | ||
3668 | ||
3669 | ||
3670 | diff: | |
3671 | ||
3672 | if (*(--p) > *(--q)) | |
3673 | return (msign); /* p is bigger */ | |
3674 | else | |
3675 | return (-msign); /* p is littler */ | |
3676 | } | |
3677 | ||
3678 | ||
3679 | ||
3680 | ||
defb5dab | 3681 | /* Find nearest integer to x = floor (x + 0.5). */ |
a0353055 RK |
3682 | |
3683 | static void | |
985b6196 RS |
3684 | eround (x, y) |
3685 | unsigned EMUSHORT *x, *y; | |
3686 | { | |
3687 | eadd (ehalf, x, y); | |
3688 | efloor (y, y); | |
3689 | } | |
3690 | ||
3691 | ||
3692 | ||
3693 | ||
defb5dab | 3694 | /* Convert HOST_WIDE_INT to e type. */ |
a0353055 RK |
3695 | |
3696 | static void | |
985b6196 | 3697 | ltoe (lp, y) |
b51ab098 RK |
3698 | HOST_WIDE_INT *lp; |
3699 | unsigned EMUSHORT *y; | |
985b6196 RS |
3700 | { |
3701 | unsigned EMUSHORT yi[NI]; | |
b51ab098 | 3702 | unsigned HOST_WIDE_INT ll; |
985b6196 RS |
3703 | int k; |
3704 | ||
3705 | ecleaz (yi); | |
3706 | if (*lp < 0) | |
3707 | { | |
3708 | /* make it positive */ | |
b51ab098 | 3709 | ll = (unsigned HOST_WIDE_INT) (-(*lp)); |
985b6196 RS |
3710 | yi[0] = 0xffff; /* put correct sign in the e type number */ |
3711 | } | |
3712 | else | |
3713 | { | |
b51ab098 | 3714 | ll = (unsigned HOST_WIDE_INT) (*lp); |
985b6196 RS |
3715 | } |
3716 | /* move the long integer to yi significand area */ | |
b51ab098 | 3717 | #if HOST_BITS_PER_WIDE_INT == 64 |
7729f1ca RS |
3718 | yi[M] = (unsigned EMUSHORT) (ll >> 48); |
3719 | yi[M + 1] = (unsigned EMUSHORT) (ll >> 32); | |
3720 | yi[M + 2] = (unsigned EMUSHORT) (ll >> 16); | |
3721 | yi[M + 3] = (unsigned EMUSHORT) ll; | |
3722 | yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */ | |
3723 | #else | |
985b6196 RS |
3724 | yi[M] = (unsigned EMUSHORT) (ll >> 16); |
3725 | yi[M + 1] = (unsigned EMUSHORT) ll; | |
985b6196 | 3726 | yi[E] = EXONE + 15; /* exponent if normalize shift count were 0 */ |
7729f1ca RS |
3727 | #endif |
3728 | ||
985b6196 RS |
3729 | if ((k = enormlz (yi)) > NBITS)/* normalize the significand */ |
3730 | ecleaz (yi); /* it was zero */ | |
3731 | else | |
3732 | yi[E] -= (unsigned EMUSHORT) k;/* subtract shift count from exponent */ | |
3733 | emovo (yi, y); /* output the answer */ | |
3734 | } | |
3735 | ||
defb5dab | 3736 | /* Convert unsigned HOST_WIDE_INT to e type. */ |
a0353055 RK |
3737 | |
3738 | static void | |
985b6196 | 3739 | ultoe (lp, y) |
b51ab098 RK |
3740 | unsigned HOST_WIDE_INT *lp; |
3741 | unsigned EMUSHORT *y; | |
985b6196 RS |
3742 | { |
3743 | unsigned EMUSHORT yi[NI]; | |
b51ab098 | 3744 | unsigned HOST_WIDE_INT ll; |
985b6196 RS |
3745 | int k; |
3746 | ||
3747 | ecleaz (yi); | |
3748 | ll = *lp; | |
3749 | ||
3750 | /* move the long integer to ayi significand area */ | |
b51ab098 | 3751 | #if HOST_BITS_PER_WIDE_INT == 64 |
7729f1ca RS |
3752 | yi[M] = (unsigned EMUSHORT) (ll >> 48); |
3753 | yi[M + 1] = (unsigned EMUSHORT) (ll >> 32); | |
3754 | yi[M + 2] = (unsigned EMUSHORT) (ll >> 16); | |
3755 | yi[M + 3] = (unsigned EMUSHORT) ll; | |
3756 | yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */ | |
3757 | #else | |
985b6196 RS |
3758 | yi[M] = (unsigned EMUSHORT) (ll >> 16); |
3759 | yi[M + 1] = (unsigned EMUSHORT) ll; | |
985b6196 | 3760 | yi[E] = EXONE + 15; /* exponent if normalize shift count were 0 */ |
7729f1ca RS |
3761 | #endif |
3762 | ||
985b6196 RS |
3763 | if ((k = enormlz (yi)) > NBITS)/* normalize the significand */ |
3764 | ecleaz (yi); /* it was zero */ | |
3765 | else | |
3766 | yi[E] -= (unsigned EMUSHORT) k; /* subtract shift count from exponent */ | |
3767 | emovo (yi, y); /* output the answer */ | |
3768 | } | |
3769 | ||
3770 | ||
c764eafd RK |
3771 | /* Find signed HOST_WIDE_INT integer and floating point fractional |
3772 | parts of e-type (packed internal format) floating point input X. | |
3773 | The integer output I has the sign of the input, except that | |
3774 | positive overflow is permitted if FIXUNS_TRUNC_LIKE_FIX_TRUNC. | |
3775 | The output e-type fraction FRAC is the positive fractional | |
3776 | part of abs (X). */ | |
985b6196 | 3777 | |
a0353055 | 3778 | static void |
985b6196 RS |
3779 | eifrac (x, i, frac) |
3780 | unsigned EMUSHORT *x; | |
b51ab098 | 3781 | HOST_WIDE_INT *i; |
985b6196 RS |
3782 | unsigned EMUSHORT *frac; |
3783 | { | |
3784 | unsigned EMUSHORT xi[NI]; | |
7729f1ca | 3785 | int j, k; |
b51ab098 | 3786 | unsigned HOST_WIDE_INT ll; |
985b6196 RS |
3787 | |
3788 | emovi (x, xi); | |
3789 | k = (int) xi[E] - (EXONE - 1); | |
3790 | if (k <= 0) | |
3791 | { | |
3792 | /* if exponent <= 0, integer = 0 and real output is fraction */ | |
3793 | *i = 0L; | |
3794 | emovo (xi, frac); | |
3795 | return; | |
3796 | } | |
b51ab098 | 3797 | if (k > (HOST_BITS_PER_WIDE_INT - 1)) |
985b6196 | 3798 | { |
7729f1ca RS |
3799 | /* long integer overflow: output large integer |
3800 | and correct fraction */ | |
985b6196 | 3801 | if (xi[0]) |
b51ab098 | 3802 | *i = ((unsigned HOST_WIDE_INT) 1) << (HOST_BITS_PER_WIDE_INT - 1); |
985b6196 | 3803 | else |
c764eafd RK |
3804 | { |
3805 | #ifdef FIXUNS_TRUNC_LIKE_FIX_TRUNC | |
3806 | /* In this case, let it overflow and convert as if unsigned. */ | |
3807 | euifrac (x, &ll, frac); | |
3808 | *i = (HOST_WIDE_INT) ll; | |
3809 | return; | |
3810 | #else | |
3811 | /* In other cases, return the largest positive integer. */ | |
3812 | *i = (((unsigned HOST_WIDE_INT) 1) << (HOST_BITS_PER_WIDE_INT - 1)) - 1; | |
3813 | #endif | |
3814 | } | |
64685ffa RS |
3815 | eshift (xi, k); |
3816 | if (extra_warnings) | |
3817 | warning ("overflow on truncation to integer"); | |
985b6196 | 3818 | } |
7729f1ca | 3819 | else if (k > 16) |
985b6196 | 3820 | { |
7729f1ca RS |
3821 | /* Shift more than 16 bits: first shift up k-16 mod 16, |
3822 | then shift up by 16's. */ | |
3823 | j = k - ((k >> 4) << 4); | |
3824 | eshift (xi, j); | |
3825 | ll = xi[M]; | |
3826 | k -= j; | |
3827 | do | |
3828 | { | |
3829 | eshup6 (xi); | |
3830 | ll = (ll << 16) | xi[M]; | |
3831 | } | |
3832 | while ((k -= 16) > 0); | |
3833 | *i = ll; | |
3834 | if (xi[0]) | |
3835 | *i = -(*i); | |
3836 | } | |
3837 | else | |
842fbaaa JW |
3838 | { |
3839 | /* shift not more than 16 bits */ | |
3840 | eshift (xi, k); | |
b51ab098 | 3841 | *i = (HOST_WIDE_INT) xi[M] & 0xffff; |
842fbaaa JW |
3842 | if (xi[0]) |
3843 | *i = -(*i); | |
3844 | } | |
985b6196 RS |
3845 | xi[0] = 0; |
3846 | xi[E] = EXONE - 1; | |
3847 | xi[M] = 0; | |
3848 | if ((k = enormlz (xi)) > NBITS) | |
3849 | ecleaz (xi); | |
3850 | else | |
3851 | xi[E] -= (unsigned EMUSHORT) k; | |
3852 | ||
3853 | emovo (xi, frac); | |
3854 | } | |
3855 | ||
3856 | ||
b51ab098 | 3857 | /* Find unsigned HOST_WIDE_INT integer and floating point fractional parts. |
7729f1ca RS |
3858 | A negative e type input yields integer output = 0 |
3859 | but correct fraction. */ | |
985b6196 | 3860 | |
a0353055 | 3861 | static void |
985b6196 RS |
3862 | euifrac (x, i, frac) |
3863 | unsigned EMUSHORT *x; | |
b51ab098 | 3864 | unsigned HOST_WIDE_INT *i; |
985b6196 RS |
3865 | unsigned EMUSHORT *frac; |
3866 | { | |
b51ab098 | 3867 | unsigned HOST_WIDE_INT ll; |
985b6196 | 3868 | unsigned EMUSHORT xi[NI]; |
7729f1ca | 3869 | int j, k; |
985b6196 RS |
3870 | |
3871 | emovi (x, xi); | |
3872 | k = (int) xi[E] - (EXONE - 1); | |
3873 | if (k <= 0) | |
3874 | { | |
3875 | /* if exponent <= 0, integer = 0 and argument is fraction */ | |
3876 | *i = 0L; | |
3877 | emovo (xi, frac); | |
3878 | return; | |
3879 | } | |
b51ab098 | 3880 | if (k > HOST_BITS_PER_WIDE_INT) |
985b6196 | 3881 | { |
7729f1ca RS |
3882 | /* Long integer overflow: output large integer |
3883 | and correct fraction. | |
3884 | Note, the BSD microvax compiler says that ~(0UL) | |
3885 | is a syntax error. */ | |
985b6196 | 3886 | *i = ~(0L); |
64685ffa RS |
3887 | eshift (xi, k); |
3888 | if (extra_warnings) | |
3889 | warning ("overflow on truncation to unsigned integer"); | |
985b6196 | 3890 | } |
7729f1ca | 3891 | else if (k > 16) |
985b6196 | 3892 | { |
7729f1ca RS |
3893 | /* Shift more than 16 bits: first shift up k-16 mod 16, |
3894 | then shift up by 16's. */ | |
3895 | j = k - ((k >> 4) << 4); | |
3896 | eshift (xi, j); | |
3897 | ll = xi[M]; | |
3898 | k -= j; | |
3899 | do | |
3900 | { | |
3901 | eshup6 (xi); | |
3902 | ll = (ll << 16) | xi[M]; | |
3903 | } | |
3904 | while ((k -= 16) > 0); | |
3905 | *i = ll; | |
3906 | } | |
3907 | else | |
3908 | { | |
3909 | /* shift not more than 16 bits */ | |
64685ffa | 3910 | eshift (xi, k); |
b51ab098 | 3911 | *i = (HOST_WIDE_INT) xi[M] & 0xffff; |
985b6196 RS |
3912 | } |
3913 | ||
7729f1ca | 3914 | if (xi[0]) /* A negative value yields unsigned integer 0. */ |
985b6196 | 3915 | *i = 0L; |
842fbaaa | 3916 | |
985b6196 RS |
3917 | xi[0] = 0; |
3918 | xi[E] = EXONE - 1; | |
3919 | xi[M] = 0; | |
3920 | if ((k = enormlz (xi)) > NBITS) | |
3921 | ecleaz (xi); | |
3922 | else | |
3923 | xi[E] -= (unsigned EMUSHORT) k; | |
3924 | ||
3925 | emovo (xi, frac); | |
3926 | } | |
3927 | ||
3928 | ||
3929 | ||
defb5dab | 3930 | /* Shift significand area up or down by the number of bits given by SC. */ |
a0353055 RK |
3931 | |
3932 | static int | |
985b6196 RS |
3933 | eshift (x, sc) |
3934 | unsigned EMUSHORT *x; | |
3935 | int sc; | |
3936 | { | |
3937 | unsigned EMUSHORT lost; | |
3938 | unsigned EMUSHORT *p; | |
3939 | ||
3940 | if (sc == 0) | |
3941 | return (0); | |
3942 | ||
3943 | lost = 0; | |
3944 | p = x + NI - 1; | |
3945 | ||
3946 | if (sc < 0) | |
3947 | { | |
3948 | sc = -sc; | |
3949 | while (sc >= 16) | |
3950 | { | |
3951 | lost |= *p; /* remember lost bits */ | |
3952 | eshdn6 (x); | |
3953 | sc -= 16; | |
3954 | } | |
3955 | ||
3956 | while (sc >= 8) | |
3957 | { | |
3958 | lost |= *p & 0xff; | |
3959 | eshdn8 (x); | |
3960 | sc -= 8; | |
3961 | } | |
3962 | ||
3963 | while (sc > 0) | |
3964 | { | |
3965 | lost |= *p & 1; | |
3966 | eshdn1 (x); | |
3967 | sc -= 1; | |
3968 | } | |
3969 | } | |
3970 | else | |
3971 | { | |
3972 | while (sc >= 16) | |
3973 | { | |
3974 | eshup6 (x); | |
3975 | sc -= 16; | |
3976 | } | |
3977 | ||
3978 | while (sc >= 8) | |
3979 | { | |
3980 | eshup8 (x); | |
3981 | sc -= 8; | |
3982 | } | |
3983 | ||
3984 | while (sc > 0) | |
3985 | { | |
3986 | eshup1 (x); | |
3987 | sc -= 1; | |
3988 | } | |
3989 | } | |
3990 | if (lost) | |
3991 | lost = 1; | |
3992 | return ((int) lost); | |
3993 | } | |
3994 | ||
3995 | ||
3996 | ||
defb5dab RK |
3997 | /* Shift normalize the significand area pointed to by argument. |
3998 | Shift count (up = positive) is returned. */ | |
a0353055 RK |
3999 | |
4000 | static int | |
985b6196 RS |
4001 | enormlz (x) |
4002 | unsigned EMUSHORT x[]; | |
4003 | { | |
4004 | register unsigned EMUSHORT *p; | |
4005 | int sc; | |
4006 | ||
4007 | sc = 0; | |
4008 | p = &x[M]; | |
4009 | if (*p != 0) | |
4010 | goto normdn; | |
4011 | ++p; | |
4012 | if (*p & 0x8000) | |
4013 | return (0); /* already normalized */ | |
4014 | while (*p == 0) | |
4015 | { | |
4016 | eshup6 (x); | |
4017 | sc += 16; | |
defb5dab | 4018 | |
985b6196 | 4019 | /* With guard word, there are NBITS+16 bits available. |
defb5dab | 4020 | Return true if all are zero. */ |
985b6196 RS |
4021 | if (sc > NBITS) |
4022 | return (sc); | |
4023 | } | |
4024 | /* see if high byte is zero */ | |
4025 | while ((*p & 0xff00) == 0) | |
4026 | { | |
4027 | eshup8 (x); | |
4028 | sc += 8; | |
4029 | } | |
4030 | /* now shift 1 bit at a time */ | |
4031 | while ((*p & 0x8000) == 0) | |
4032 | { | |
4033 | eshup1 (x); | |
4034 | sc += 1; | |
4035 | if (sc > NBITS) | |
4036 | { | |
4037 | mtherr ("enormlz", UNDERFLOW); | |
4038 | return (sc); | |
4039 | } | |
4040 | } | |
4041 | return (sc); | |
4042 | ||
4043 | /* Normalize by shifting down out of the high guard word | |
4044 | of the significand */ | |
4045 | normdn: | |
4046 | ||
4047 | if (*p & 0xff00) | |
4048 | { | |
4049 | eshdn8 (x); | |
4050 | sc -= 8; | |
4051 | } | |
4052 | while (*p != 0) | |
4053 | { | |
4054 | eshdn1 (x); | |
4055 | sc -= 1; | |
4056 | ||
4057 | if (sc < -NBITS) | |
4058 | { | |
4059 | mtherr ("enormlz", OVERFLOW); | |
4060 | return (sc); | |
4061 | } | |
4062 | } | |
4063 | return (sc); | |
4064 | } | |
4065 | ||
4066 | ||
4067 | ||
4068 | ||
4069 | /* Convert e type number to decimal format ASCII string. | |
defb5dab | 4070 | The constants are for 64 bit precision. */ |
985b6196 RS |
4071 | |
4072 | #define NTEN 12 | |
4073 | #define MAXP 4096 | |
4074 | ||
842fbaaa JW |
4075 | #if LONG_DOUBLE_TYPE_SIZE == 128 |
4076 | static unsigned EMUSHORT etens[NTEN + 1][NE] = | |
4077 | { | |
4078 | {0x6576, 0x4a92, 0x804a, 0x153f, | |
4079 | 0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */ | |
4080 | {0x6a32, 0xce52, 0x329a, 0x28ce, | |
4081 | 0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */ | |
4082 | {0x526c, 0x50ce, 0xf18b, 0x3d28, | |
4083 | 0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,}, | |
4084 | {0x9c66, 0x58f8, 0xbc50, 0x5c54, | |
4085 | 0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,}, | |
4086 | {0x851e, 0xeab7, 0x98fe, 0x901b, | |
4087 | 0xddbb, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,}, | |
4088 | {0x0235, 0x0137, 0x36b1, 0x336c, | |
4089 | 0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,}, | |
4090 | {0x50f8, 0x25fb, 0xc76b, 0x6b71, | |
4091 | 0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,}, | |
4092 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4093 | 0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,}, | |
4094 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4095 | 0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,}, | |
4096 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4097 | 0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,}, | |
4098 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4099 | 0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,}, | |
4100 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4101 | 0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,}, | |
4102 | {0x0000, 0x0000, 0x0000, 0x0000, | |
4103 | 0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */ | |
4104 | }; | |
4105 | ||
4106 | static unsigned EMUSHORT emtens[NTEN + 1][NE] = | |
4107 | { | |
4108 | {0x2030, 0xcffc, 0xa1c3, 0x8123, | |
4109 | 0x2de3, 0x9fde, 0xd2ce, 0x04c8, 0xa6dd, 0x0ad8,}, /* 10**-4096 */ | |
4110 | {0x8264, 0xd2cb, 0xf2ea, 0x12d4, | |
4111 | 0x4925, 0x2de4, 0x3436, 0x534f, 0xceae, 0x256b,}, /* 10**-2048 */ | |
4112 | {0xf53f, 0xf698, 0x6bd3, 0x0158, | |
4113 | 0x87a6, 0xc0bd, 0xda57, 0x82a5, 0xa2a6, 0x32b5,}, | |
4114 | {0xe731, 0x04d4, 0xe3f2, 0xd332, | |
4115 | 0x7132, 0xd21c, 0xdb23, 0xee32, 0x9049, 0x395a,}, | |
4116 | {0xa23e, 0x5308, 0xfefb, 0x1155, | |
4117 | 0xfa91, 0x1939, 0x637a, 0x4325, 0xc031, 0x3cac,}, | |
4118 | {0xe26d, 0xdbde, 0xd05d, 0xb3f6, | |
4119 | 0xac7c, 0xe4a0, 0x64bc, 0x467c, 0xddd0, 0x3e55,}, | |
4120 | {0x2a20, 0x6224, 0x47b3, 0x98d7, | |
4121 | 0x3f23, 0xe9a5, 0xa539, 0xea27, 0xa87f, 0x3f2a,}, | |
4122 | {0x0b5b, 0x4af2, 0xa581, 0x18ed, | |
4123 | 0x67de, 0x94ba, 0x4539, 0x1ead, 0xcfb1, 0x3f94,}, | |
4124 | {0xbf71, 0xa9b3, 0x7989, 0xbe68, | |
4125 | 0x4c2e, 0xe15b, 0xc44d, 0x94be, 0xe695, 0x3fc9,}, | |
4126 | {0x3d4d, 0x7c3d, 0x36ba, 0x0d2b, | |
4127 | 0xfdc2, 0xcefc, 0x8461, 0x7711, 0xabcc, 0x3fe4,}, | |
4128 | {0xc155, 0xa4a8, 0x404e, 0x6113, | |
4129 | 0xd3c3, 0x652b, 0xe219, 0x1758, 0xd1b7, 0x3ff1,}, | |
4130 | {0xd70a, 0x70a3, 0x0a3d, 0xa3d7, | |
4131 | 0x3d70, 0xd70a, 0x70a3, 0x0a3d, 0xa3d7, 0x3ff8,}, | |
4132 | {0xcccd, 0xcccc, 0xcccc, 0xcccc, | |
4133 | 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0x3ffb,}, /* 10**-1 */ | |
4134 | }; | |
4135 | #else | |
4136 | /* LONG_DOUBLE_TYPE_SIZE is other than 128 */ | |
985b6196 RS |
4137 | static unsigned EMUSHORT etens[NTEN + 1][NE] = |
4138 | { | |
4139 | {0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */ | |
4140 | {0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */ | |
4141 | {0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,}, | |
4142 | {0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,}, | |
4143 | {0xddbc, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,}, | |
4144 | {0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,}, | |
4145 | {0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,}, | |
4146 | {0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,}, | |
4147 | {0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,}, | |
4148 | {0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,}, | |
4149 | {0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,}, | |
4150 | {0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,}, | |
4151 | {0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */ | |
4152 | }; | |
4153 | ||
4154 | static unsigned EMUSHORT emtens[NTEN + 1][NE] = | |
4155 | { | |
4156 | {0x2de4, 0x9fde, 0xd2ce, 0x04c8, 0xa6dd, 0x0ad8,}, /* 10**-4096 */ | |
4157 | {0x4925, 0x2de4, 0x3436, 0x534f, 0xceae, 0x256b,}, /* 10**-2048 */ | |
4158 | {0x87a6, 0xc0bd, 0xda57, 0x82a5, 0xa2a6, 0x32b5,}, | |
4159 | {0x7133, 0xd21c, 0xdb23, 0xee32, 0x9049, 0x395a,}, | |
4160 | {0xfa91, 0x1939, 0x637a, 0x4325, 0xc031, 0x3cac,}, | |
4161 | {0xac7d, 0xe4a0, 0x64bc, 0x467c, 0xddd0, 0x3e55,}, | |
4162 | {0x3f24, 0xe9a5, 0xa539, 0xea27, 0xa87f, 0x3f2a,}, | |
4163 | {0x67de, 0x94ba, 0x4539, 0x1ead, 0xcfb1, 0x3f94,}, | |
4164 | {0x4c2f, 0xe15b, 0xc44d, 0x94be, 0xe695, 0x3fc9,}, | |
4165 | {0xfdc2, 0xcefc, 0x8461, 0x7711, 0xabcc, 0x3fe4,}, | |
4166 | {0xd3c3, 0x652b, 0xe219, 0x1758, 0xd1b7, 0x3ff1,}, | |
4167 | {0x3d71, 0xd70a, 0x70a3, 0x0a3d, 0xa3d7, 0x3ff8,}, | |
4168 | {0xcccd, 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0x3ffb,}, /* 10**-1 */ | |
4169 | }; | |
842fbaaa | 4170 | #endif |
985b6196 | 4171 | |
a0353055 | 4172 | static void |
985b6196 RS |
4173 | e24toasc (x, string, ndigs) |
4174 | unsigned EMUSHORT x[]; | |
4175 | char *string; | |
4176 | int ndigs; | |
4177 | { | |
4178 | unsigned EMUSHORT w[NI]; | |
4179 | ||
985b6196 RS |
4180 | e24toe (x, w); |
4181 | etoasc (w, string, ndigs); | |
4182 | } | |
4183 | ||
4184 | ||
a0353055 | 4185 | static void |
985b6196 RS |
4186 | e53toasc (x, string, ndigs) |
4187 | unsigned EMUSHORT x[]; | |
4188 | char *string; | |
4189 | int ndigs; | |
4190 | { | |
4191 | unsigned EMUSHORT w[NI]; | |
4192 | ||
985b6196 RS |
4193 | e53toe (x, w); |
4194 | etoasc (w, string, ndigs); | |
4195 | } | |
4196 | ||
4197 | ||
a0353055 | 4198 | static void |
985b6196 RS |
4199 | e64toasc (x, string, ndigs) |
4200 | unsigned EMUSHORT x[]; | |
4201 | char *string; | |
4202 | int ndigs; | |
4203 | { | |
4204 | unsigned EMUSHORT w[NI]; | |
4205 | ||
985b6196 RS |
4206 | e64toe (x, w); |
4207 | etoasc (w, string, ndigs); | |
4208 | } | |
4209 | ||
a0353055 | 4210 | static void |
842fbaaa JW |
4211 | e113toasc (x, string, ndigs) |
4212 | unsigned EMUSHORT x[]; | |
4213 | char *string; | |
4214 | int ndigs; | |
4215 | { | |
4216 | unsigned EMUSHORT w[NI]; | |
4217 | ||
4218 | e113toe (x, w); | |
4219 | etoasc (w, string, ndigs); | |
4220 | } | |
4221 | ||
985b6196 RS |
4222 | |
4223 | static char wstring[80]; /* working storage for ASCII output */ | |
4224 | ||
a0353055 | 4225 | static void |
985b6196 RS |
4226 | etoasc (x, string, ndigs) |
4227 | unsigned EMUSHORT x[]; | |
4228 | char *string; | |
4229 | int ndigs; | |
4230 | { | |
4231 | EMUSHORT digit; | |
4232 | unsigned EMUSHORT y[NI], t[NI], u[NI], w[NI]; | |
4233 | unsigned EMUSHORT *p, *r, *ten; | |
4234 | unsigned EMUSHORT sign; | |
4235 | int i, j, k, expon, rndsav; | |
4236 | char *s, *ss; | |
4237 | unsigned EMUSHORT m; | |
4238 | ||
66b6d60b RS |
4239 | |
4240 | rndsav = rndprc; | |
985b6196 RS |
4241 | ss = string; |
4242 | s = wstring; | |
66b6d60b RS |
4243 | *ss = '\0'; |
4244 | *s = '\0'; | |
4245 | #ifdef NANS | |
4246 | if (eisnan (x)) | |
4247 | { | |
4248 | sprintf (wstring, " NaN "); | |
4249 | goto bxit; | |
4250 | } | |
4251 | #endif | |
985b6196 RS |
4252 | rndprc = NBITS; /* set to full precision */ |
4253 | emov (x, y); /* retain external format */ | |
4254 | if (y[NE - 1] & 0x8000) | |
4255 | { | |
4256 | sign = 0xffff; | |
4257 | y[NE - 1] &= 0x7fff; | |
4258 | } | |
4259 | else | |
4260 | { | |
4261 | sign = 0; | |
4262 | } | |
4263 | expon = 0; | |
4264 | ten = &etens[NTEN][0]; | |
4265 | emov (eone, t); | |
4266 | /* Test for zero exponent */ | |
4267 | if (y[NE - 1] == 0) | |
4268 | { | |
4269 | for (k = 0; k < NE - 1; k++) | |
4270 | { | |
4271 | if (y[k] != 0) | |
4272 | goto tnzro; /* denormalized number */ | |
4273 | } | |
4274 | goto isone; /* legal all zeros */ | |
4275 | } | |
4276 | tnzro: | |
4277 | ||
66b6d60b | 4278 | /* Test for infinity. */ |
985b6196 RS |
4279 | if (y[NE - 1] == 0x7fff) |
4280 | { | |
4281 | if (sign) | |
4282 | sprintf (wstring, " -Infinity "); | |
4283 | else | |
4284 | sprintf (wstring, " Infinity "); | |
4285 | goto bxit; | |
4286 | } | |
4287 | ||
4288 | /* Test for exponent nonzero but significand denormalized. | |
4289 | * This is an error condition. | |
4290 | */ | |
4291 | if ((y[NE - 1] != 0) && ((y[NE - 2] & 0x8000) == 0)) | |
4292 | { | |
4293 | mtherr ("etoasc", DOMAIN); | |
4294 | sprintf (wstring, "NaN"); | |
4295 | goto bxit; | |
4296 | } | |
4297 | ||
4298 | /* Compare to 1.0 */ | |
4299 | i = ecmp (eone, y); | |
4300 | if (i == 0) | |
4301 | goto isone; | |
4302 | ||
66b6d60b RS |
4303 | if (i == -2) |
4304 | abort (); | |
4305 | ||
985b6196 RS |
4306 | if (i < 0) |
4307 | { /* Number is greater than 1 */ | |
4308 | /* Convert significand to an integer and strip trailing decimal zeros. */ | |
4309 | emov (y, u); | |
4310 | u[NE - 1] = EXONE + NBITS - 1; | |
4311 | ||
4312 | p = &etens[NTEN - 4][0]; | |
4313 | m = 16; | |
4314 | do | |
4315 | { | |
4316 | ediv (p, u, t); | |
4317 | efloor (t, w); | |
4318 | for (j = 0; j < NE - 1; j++) | |
4319 | { | |
4320 | if (t[j] != w[j]) | |
4321 | goto noint; | |
4322 | } | |
4323 | emov (t, u); | |
4324 | expon += (int) m; | |
4325 | noint: | |
4326 | p += NE; | |
4327 | m >>= 1; | |
4328 | } | |
4329 | while (m != 0); | |
4330 | ||
4331 | /* Rescale from integer significand */ | |
4332 | u[NE - 1] += y[NE - 1] - (unsigned int) (EXONE + NBITS - 1); | |
4333 | emov (u, y); | |
4334 | /* Find power of 10 */ | |
4335 | emov (eone, t); | |
4336 | m = MAXP; | |
4337 | p = &etens[0][0]; | |
66b6d60b | 4338 | /* An unordered compare result shouldn't happen here. */ |
985b6196 RS |
4339 | while (ecmp (ten, u) <= 0) |
4340 | { | |
4341 | if (ecmp (p, u) <= 0) | |
4342 | { | |
4343 | ediv (p, u, u); | |
4344 | emul (p, t, t); | |
4345 | expon += (int) m; | |
4346 | } | |
4347 | m >>= 1; | |
4348 | if (m == 0) | |
4349 | break; | |
4350 | p += NE; | |
4351 | } | |
4352 | } | |
4353 | else | |
4354 | { /* Number is less than 1.0 */ | |
4355 | /* Pad significand with trailing decimal zeros. */ | |
4356 | if (y[NE - 1] == 0) | |
4357 | { | |
4358 | while ((y[NE - 2] & 0x8000) == 0) | |
4359 | { | |
4360 | emul (ten, y, y); | |
4361 | expon -= 1; | |
4362 | } | |
4363 | } | |
4364 | else | |
4365 | { | |
4366 | emovi (y, w); | |
4367 | for (i = 0; i < NDEC + 1; i++) | |
4368 | { | |
4369 | if ((w[NI - 1] & 0x7) != 0) | |
4370 | break; | |
4371 | /* multiply by 10 */ | |
4372 | emovz (w, u); | |
4373 | eshdn1 (u); | |
4374 | eshdn1 (u); | |
4375 | eaddm (w, u); | |
4376 | u[1] += 3; | |
4377 | while (u[2] != 0) | |
4378 | { | |
4379 | eshdn1 (u); | |
4380 | u[1] += 1; | |
4381 | } | |
4382 | if (u[NI - 1] != 0) | |
4383 | break; | |
4384 | if (eone[NE - 1] <= u[1]) | |
4385 | break; | |
4386 | emovz (u, w); | |
4387 | expon -= 1; | |
4388 | } | |
4389 | emovo (w, y); | |
4390 | } | |
4391 | k = -MAXP; | |
4392 | p = &emtens[0][0]; | |
4393 | r = &etens[0][0]; | |
4394 | emov (y, w); | |
4395 | emov (eone, t); | |
4396 | while (ecmp (eone, w) > 0) | |
4397 | { | |
4398 | if (ecmp (p, w) >= 0) | |
4399 | { | |
4400 | emul (r, w, w); | |
4401 | emul (r, t, t); | |
4402 | expon += k; | |
4403 | } | |
4404 | k /= 2; | |
4405 | if (k == 0) | |
4406 | break; | |
4407 | p += NE; | |
4408 | r += NE; | |
4409 | } | |
4410 | ediv (t, eone, t); | |
4411 | } | |
4412 | isone: | |
4413 | /* Find the first (leading) digit. */ | |
4414 | emovi (t, w); | |
4415 | emovz (w, t); | |
4416 | emovi (y, w); | |
4417 | emovz (w, y); | |
4418 | eiremain (t, y); | |
4419 | digit = equot[NI - 1]; | |
4420 | while ((digit == 0) && (ecmp (y, ezero) != 0)) | |
4421 | { | |
4422 | eshup1 (y); | |
4423 | emovz (y, u); | |
4424 | eshup1 (u); | |
4425 | eshup1 (u); | |
4426 | eaddm (u, y); | |
4427 | eiremain (t, y); | |
4428 | digit = equot[NI - 1]; | |
4429 | expon -= 1; | |
4430 | } | |
4431 | s = wstring; | |
4432 | if (sign) | |
4433 | *s++ = '-'; | |
4434 | else | |
4435 | *s++ = ' '; | |
985b6196 RS |
4436 | /* Examine number of digits requested by caller. */ |
4437 | if (ndigs < 0) | |
4438 | ndigs = 0; | |
4439 | if (ndigs > NDEC) | |
4440 | ndigs = NDEC; | |
64685ffa RS |
4441 | if (digit == 10) |
4442 | { | |
4443 | *s++ = '1'; | |
4444 | *s++ = '.'; | |
4445 | if (ndigs > 0) | |
4446 | { | |
4447 | *s++ = '0'; | |
4448 | ndigs -= 1; | |
4449 | } | |
4450 | expon += 1; | |
4451 | } | |
4452 | else | |
4453 | { | |
242cef1e | 4454 | *s++ = (char)digit + '0'; |
64685ffa RS |
4455 | *s++ = '.'; |
4456 | } | |
985b6196 RS |
4457 | /* Generate digits after the decimal point. */ |
4458 | for (k = 0; k <= ndigs; k++) | |
4459 | { | |
4460 | /* multiply current number by 10, without normalizing */ | |
4461 | eshup1 (y); | |
4462 | emovz (y, u); | |
4463 | eshup1 (u); | |
4464 | eshup1 (u); | |
4465 | eaddm (u, y); | |
4466 | eiremain (t, y); | |
4467 | *s++ = (char) equot[NI - 1] + '0'; | |
4468 | } | |
4469 | digit = equot[NI - 1]; | |
4470 | --s; | |
4471 | ss = s; | |
4472 | /* round off the ASCII string */ | |
4473 | if (digit > 4) | |
4474 | { | |
4475 | /* Test for critical rounding case in ASCII output. */ | |
4476 | if (digit == 5) | |
4477 | { | |
4478 | emovo (y, t); | |
4479 | if (ecmp (t, ezero) != 0) | |
4480 | goto roun; /* round to nearest */ | |
4481 | if ((*(s - 1) & 1) == 0) | |
4482 | goto doexp; /* round to even */ | |
4483 | } | |
4484 | /* Round up and propagate carry-outs */ | |
4485 | roun: | |
4486 | --s; | |
4487 | k = *s & 0x7f; | |
4488 | /* Carry out to most significant digit? */ | |
4489 | if (k == '.') | |
4490 | { | |
4491 | --s; | |
4492 | k = *s; | |
4493 | k += 1; | |
4494 | *s = (char) k; | |
4495 | /* Most significant digit carries to 10? */ | |
4496 | if (k > '9') | |
4497 | { | |
4498 | expon += 1; | |
4499 | *s = '1'; | |
4500 | } | |
4501 | goto doexp; | |
4502 | } | |
4503 | /* Round up and carry out from less significant digits */ | |
4504 | k += 1; | |
4505 | *s = (char) k; | |
4506 | if (k > '9') | |
4507 | { | |
4508 | *s = '0'; | |
4509 | goto roun; | |
4510 | } | |
4511 | } | |
4512 | doexp: | |
4513 | /* | |
4514 | if (expon >= 0) | |
4515 | sprintf (ss, "e+%d", expon); | |
4516 | else | |
4517 | sprintf (ss, "e%d", expon); | |
4518 | */ | |
4519 | sprintf (ss, "e%d", expon); | |
4520 | bxit: | |
4521 | rndprc = rndsav; | |
4522 | /* copy out the working string */ | |
4523 | s = string; | |
4524 | ss = wstring; | |
4525 | while (*ss == ' ') /* strip possible leading space */ | |
4526 | ++ss; | |
4527 | while ((*s++ = *ss++) != '\0') | |
4528 | ; | |
4529 | } | |
4530 | ||
4531 | ||
defb5dab | 4532 | /* Convert ASCII string to quadruple precision floating point |
985b6196 | 4533 | |
defb5dab RK |
4534 | Numeric input is free field decimal number with max of 15 digits with or |
4535 | without decimal point entered as ASCII from teletype. Entering E after | |
4536 | the number followed by a second number causes the second number to be | |
4537 | interpreted as a power of 10 to be multiplied by the first number | |
4538 | (i.e., "scientific" notation). */ | |
985b6196 RS |
4539 | |
4540 | /* ASCII to single */ | |
a0353055 RK |
4541 | |
4542 | static void | |
985b6196 RS |
4543 | asctoe24 (s, y) |
4544 | char *s; | |
4545 | unsigned EMUSHORT *y; | |
4546 | { | |
4547 | asctoeg (s, y, 24); | |
4548 | } | |
4549 | ||
4550 | ||
4551 | /* ASCII to double */ | |
a0353055 RK |
4552 | |
4553 | static void | |
985b6196 RS |
4554 | asctoe53 (s, y) |
4555 | char *s; | |
4556 | unsigned EMUSHORT *y; | |
4557 | { | |
842fbaaa | 4558 | #if defined(DEC) || defined(IBM) |
985b6196 RS |
4559 | asctoeg (s, y, 56); |
4560 | #else | |
4561 | asctoeg (s, y, 53); | |
4562 | #endif | |
4563 | } | |
4564 | ||
4565 | ||
4566 | /* ASCII to long double */ | |
a0353055 RK |
4567 | |
4568 | static void | |
985b6196 RS |
4569 | asctoe64 (s, y) |
4570 | char *s; | |
4571 | unsigned EMUSHORT *y; | |
4572 | { | |
4573 | asctoeg (s, y, 64); | |
4574 | } | |
4575 | ||
842fbaaa | 4576 | /* ASCII to 128-bit long double */ |
a0353055 RK |
4577 | |
4578 | static void | |
842fbaaa JW |
4579 | asctoe113 (s, y) |
4580 | char *s; | |
4581 | unsigned EMUSHORT *y; | |
4582 | { | |
4583 | asctoeg (s, y, 113); | |
4584 | } | |
4585 | ||
985b6196 | 4586 | /* ASCII to super double */ |
defb5dab | 4587 | |
a0353055 | 4588 | static void |
985b6196 RS |
4589 | asctoe (s, y) |
4590 | char *s; | |
4591 | unsigned EMUSHORT *y; | |
4592 | { | |
4593 | asctoeg (s, y, NBITS); | |
4594 | } | |
4595 | ||
985b6196 | 4596 | |
d73e9b8d | 4597 | /* ASCII to e type, with specified rounding precision = oprec. */ |
defb5dab | 4598 | |
a0353055 | 4599 | static void |
985b6196 RS |
4600 | asctoeg (ss, y, oprec) |
4601 | char *ss; | |
4602 | unsigned EMUSHORT *y; | |
4603 | int oprec; | |
4604 | { | |
4605 | unsigned EMUSHORT yy[NI], xt[NI], tt[NI]; | |
4606 | int esign, decflg, sgnflg, nexp, exp, prec, lost; | |
4607 | int k, trail, c, rndsav; | |
4608 | EMULONG lexp; | |
4609 | unsigned EMUSHORT nsign, *p; | |
d73e9b8d | 4610 | char *sp, *s, *lstr; |
985b6196 RS |
4611 | |
4612 | /* Copy the input string. */ | |
d73e9b8d | 4613 | lstr = (char *) alloca (strlen (ss) + 1); |
985b6196 RS |
4614 | s = ss; |
4615 | while (*s == ' ') /* skip leading spaces */ | |
4616 | ++s; | |
4617 | sp = lstr; | |
a9456cd3 RS |
4618 | while ((*sp++ = *s++) != '\0') |
4619 | ; | |
985b6196 RS |
4620 | s = lstr; |
4621 | ||
4622 | rndsav = rndprc; | |
4623 | rndprc = NBITS; /* Set to full precision */ | |
4624 | lost = 0; | |
4625 | nsign = 0; | |
4626 | decflg = 0; | |
4627 | sgnflg = 0; | |
4628 | nexp = 0; | |
4629 | exp = 0; | |
4630 | prec = 0; | |
4631 | ecleaz (yy); | |
4632 | trail = 0; | |
4633 | ||
4634 | nxtcom: | |
4635 | k = *s - '0'; | |
4636 | if ((k >= 0) && (k <= 9)) | |
4637 | { | |
4638 | /* Ignore leading zeros */ | |
4639 | if ((prec == 0) && (decflg == 0) && (k == 0)) | |
4640 | goto donchr; | |
4641 | /* Identify and strip trailing zeros after the decimal point. */ | |
4642 | if ((trail == 0) && (decflg != 0)) | |
4643 | { | |
4644 | sp = s; | |
4645 | while ((*sp >= '0') && (*sp <= '9')) | |
4646 | ++sp; | |
4647 | /* Check for syntax error */ | |
4648 | c = *sp & 0x7f; | |
4649 | if ((c != 'e') && (c != 'E') && (c != '\0') | |
4650 | && (c != '\n') && (c != '\r') && (c != ' ') | |
4651 | && (c != ',')) | |
4652 | goto error; | |
4653 | --sp; | |
4654 | while (*sp == '0') | |
4655 | *sp-- = 'z'; | |
4656 | trail = 1; | |
4657 | if (*s == 'z') | |
4658 | goto donchr; | |
4659 | } | |
defb5dab | 4660 | |
985b6196 | 4661 | /* If enough digits were given to more than fill up the yy register, |
defb5dab RK |
4662 | continuing until overflow into the high guard word yy[2] |
4663 | guarantees that there will be a roundoff bit at the top | |
4664 | of the low guard word after normalization. */ | |
4665 | ||
985b6196 RS |
4666 | if (yy[2] == 0) |
4667 | { | |
4668 | if (decflg) | |
4669 | nexp += 1; /* count digits after decimal point */ | |
4670 | eshup1 (yy); /* multiply current number by 10 */ | |
4671 | emovz (yy, xt); | |
4672 | eshup1 (xt); | |
4673 | eshup1 (xt); | |
4674 | eaddm (xt, yy); | |
4675 | ecleaz (xt); | |
4676 | xt[NI - 2] = (unsigned EMUSHORT) k; | |
4677 | eaddm (xt, yy); | |
4678 | } | |
4679 | else | |
4680 | { | |
d73e9b8d | 4681 | /* Mark any lost non-zero digit. */ |
985b6196 | 4682 | lost |= k; |
d73e9b8d RS |
4683 | /* Count lost digits before the decimal point. */ |
4684 | if (decflg == 0) | |
4685 | nexp -= 1; | |
985b6196 RS |
4686 | } |
4687 | prec += 1; | |
4688 | goto donchr; | |
4689 | } | |
4690 | ||
4691 | switch (*s) | |
4692 | { | |
4693 | case 'z': | |
4694 | break; | |
4695 | case 'E': | |
4696 | case 'e': | |
4697 | goto expnt; | |
4698 | case '.': /* decimal point */ | |
4699 | if (decflg) | |
4700 | goto error; | |
4701 | ++decflg; | |
4702 | break; | |
4703 | case '-': | |
4704 | nsign = 0xffff; | |
4705 | if (sgnflg) | |
4706 | goto error; | |
4707 | ++sgnflg; | |
4708 | break; | |
4709 | case '+': | |
4710 | if (sgnflg) | |
4711 | goto error; | |
4712 | ++sgnflg; | |
4713 | break; | |
4714 | case ',': | |
4715 | case ' ': | |
4716 | case '\0': | |
4717 | case '\n': | |
4718 | case '\r': | |
4719 | goto daldone; | |
4720 | case 'i': | |
4721 | case 'I': | |
64685ffa | 4722 | goto infinite; |
985b6196 RS |
4723 | default: |
4724 | error: | |
66b6d60b RS |
4725 | #ifdef NANS |
4726 | einan (yy); | |
4727 | #else | |
985b6196 | 4728 | mtherr ("asctoe", DOMAIN); |
66b6d60b RS |
4729 | eclear (yy); |
4730 | #endif | |
985b6196 RS |
4731 | goto aexit; |
4732 | } | |
4733 | donchr: | |
4734 | ++s; | |
4735 | goto nxtcom; | |
4736 | ||
4737 | /* Exponent interpretation */ | |
4738 | expnt: | |
4739 | ||
4740 | esign = 1; | |
4741 | exp = 0; | |
4742 | ++s; | |
4743 | /* check for + or - */ | |
4744 | if (*s == '-') | |
4745 | { | |
4746 | esign = -1; | |
4747 | ++s; | |
4748 | } | |
4749 | if (*s == '+') | |
4750 | ++s; | |
4751 | while ((*s >= '0') && (*s <= '9')) | |
4752 | { | |
4753 | exp *= 10; | |
4754 | exp += *s++ - '0'; | |
842fbaaa | 4755 | if (exp > -(MINDECEXP)) |
64685ffa RS |
4756 | { |
4757 | if (esign < 0) | |
4758 | goto zero; | |
4759 | else | |
4760 | goto infinite; | |
4761 | } | |
985b6196 RS |
4762 | } |
4763 | if (esign < 0) | |
4764 | exp = -exp; | |
842fbaaa | 4765 | if (exp > MAXDECEXP) |
64685ffa RS |
4766 | { |
4767 | infinite: | |
4768 | ecleaz (yy); | |
4769 | yy[E] = 0x7fff; /* infinity */ | |
4770 | goto aexit; | |
4771 | } | |
842fbaaa | 4772 | if (exp < MINDECEXP) |
64685ffa RS |
4773 | { |
4774 | zero: | |
4775 | ecleaz (yy); | |
4776 | goto aexit; | |
4777 | } | |
985b6196 RS |
4778 | |
4779 | daldone: | |
4780 | nexp = exp - nexp; | |
4781 | /* Pad trailing zeros to minimize power of 10, per IEEE spec. */ | |
4782 | while ((nexp > 0) && (yy[2] == 0)) | |
4783 | { | |
4784 | emovz (yy, xt); | |
4785 | eshup1 (xt); | |
4786 | eshup1 (xt); | |
4787 | eaddm (yy, xt); | |
4788 | eshup1 (xt); | |
4789 | if (xt[2] != 0) | |
4790 | break; | |
4791 | nexp -= 1; | |
4792 | emovz (xt, yy); | |
4793 | } | |
4794 | if ((k = enormlz (yy)) > NBITS) | |
4795 | { | |
4796 | ecleaz (yy); | |
4797 | goto aexit; | |
4798 | } | |
4799 | lexp = (EXONE - 1 + NBITS) - k; | |
4800 | emdnorm (yy, lost, 0, lexp, 64); | |
985b6196 | 4801 | |
defb5dab RK |
4802 | /* Convert to external format: |
4803 | ||
4804 | Multiply by 10**nexp. If precision is 64 bits, | |
4805 | the maximum relative error incurred in forming 10**n | |
4806 | for 0 <= n <= 324 is 8.2e-20, at 10**180. | |
4807 | For 0 <= n <= 999, the peak relative error is 1.4e-19 at 10**947. | |
4808 | For 0 >= n >= -999, it is -1.55e-19 at 10**-435. */ | |
985b6196 | 4809 | |
985b6196 RS |
4810 | lexp = yy[E]; |
4811 | if (nexp == 0) | |
4812 | { | |
4813 | k = 0; | |
4814 | goto expdon; | |
4815 | } | |
4816 | esign = 1; | |
4817 | if (nexp < 0) | |
4818 | { | |
4819 | nexp = -nexp; | |
4820 | esign = -1; | |
4821 | if (nexp > 4096) | |
defb5dab RK |
4822 | { |
4823 | /* Punt. Can't handle this without 2 divides. */ | |
985b6196 RS |
4824 | emovi (etens[0], tt); |
4825 | lexp -= tt[E]; | |
4826 | k = edivm (tt, yy); | |
4827 | lexp += EXONE; | |
4828 | nexp -= 4096; | |
4829 | } | |
4830 | } | |
4831 | p = &etens[NTEN][0]; | |
4832 | emov (eone, xt); | |
4833 | exp = 1; | |
4834 | do | |
4835 | { | |
4836 | if (exp & nexp) | |
4837 | emul (p, xt, xt); | |
4838 | p -= NE; | |
4839 | exp = exp + exp; | |
4840 | } | |
4841 | while (exp <= MAXP); | |
4842 | ||
4843 | emovi (xt, tt); | |
4844 | if (esign < 0) | |
4845 | { | |
4846 | lexp -= tt[E]; | |
4847 | k = edivm (tt, yy); | |
4848 | lexp += EXONE; | |
4849 | } | |
4850 | else | |
4851 | { | |
4852 | lexp += tt[E]; | |
4853 | k = emulm (tt, yy); | |
4854 | lexp -= EXONE - 1; | |
4855 | } | |
4856 | ||
4857 | expdon: | |
4858 | ||
4859 | /* Round and convert directly to the destination type */ | |
4860 | if (oprec == 53) | |
4861 | lexp -= EXONE - 0x3ff; | |
842fbaaa JW |
4862 | #ifdef IBM |
4863 | else if (oprec == 24 || oprec == 56) | |
4864 | lexp -= EXONE - (0x41 << 2); | |
4865 | #else | |
985b6196 RS |
4866 | else if (oprec == 24) |
4867 | lexp -= EXONE - 0177; | |
842fbaaa | 4868 | #endif |
985b6196 RS |
4869 | #ifdef DEC |
4870 | else if (oprec == 56) | |
4871 | lexp -= EXONE - 0201; | |
4872 | #endif | |
4873 | rndprc = oprec; | |
4874 | emdnorm (yy, k, 0, lexp, 64); | |
4875 | ||
4876 | aexit: | |
4877 | ||
4878 | rndprc = rndsav; | |
4879 | yy[0] = nsign; | |
4880 | switch (oprec) | |
4881 | { | |
4882 | #ifdef DEC | |
4883 | case 56: | |
4884 | todec (yy, y); /* see etodec.c */ | |
4885 | break; | |
842fbaaa JW |
4886 | #endif |
4887 | #ifdef IBM | |
4888 | case 56: | |
4889 | toibm (yy, y, DFmode); | |
4890 | break; | |
985b6196 RS |
4891 | #endif |
4892 | case 53: | |
4893 | toe53 (yy, y); | |
4894 | break; | |
4895 | case 24: | |
4896 | toe24 (yy, y); | |
4897 | break; | |
4898 | case 64: | |
4899 | toe64 (yy, y); | |
4900 | break; | |
842fbaaa JW |
4901 | case 113: |
4902 | toe113 (yy, y); | |
4903 | break; | |
985b6196 RS |
4904 | case NBITS: |
4905 | emovo (yy, y); | |
4906 | break; | |
4907 | } | |
4908 | } | |
4909 | ||
4910 | ||
4911 | ||
defb5dab RK |
4912 | /* y = largest integer not greater than x (truncated toward minus infinity) */ |
4913 | ||
985b6196 RS |
4914 | static unsigned EMUSHORT bmask[] = |
4915 | { | |
4916 | 0xffff, | |
4917 | 0xfffe, | |
4918 | 0xfffc, | |
4919 | 0xfff8, | |
4920 | 0xfff0, | |
4921 | 0xffe0, | |
4922 | 0xffc0, | |
4923 | 0xff80, | |
4924 | 0xff00, | |
4925 | 0xfe00, | |
4926 | 0xfc00, | |
4927 | 0xf800, | |
4928 | 0xf000, | |
4929 | 0xe000, | |
4930 | 0xc000, | |
4931 | 0x8000, | |
4932 | 0x0000, | |
4933 | }; | |
4934 | ||
a0353055 | 4935 | static void |
985b6196 RS |
4936 | efloor (x, y) |
4937 | unsigned EMUSHORT x[], y[]; | |
4938 | { | |
4939 | register unsigned EMUSHORT *p; | |
4940 | int e, expon, i; | |
4941 | unsigned EMUSHORT f[NE]; | |
4942 | ||
4943 | emov (x, f); /* leave in external format */ | |
4944 | expon = (int) f[NE - 1]; | |
4945 | e = (expon & 0x7fff) - (EXONE - 1); | |
4946 | if (e <= 0) | |
4947 | { | |
4948 | eclear (y); | |
4949 | goto isitneg; | |
4950 | } | |
4951 | /* number of bits to clear out */ | |
4952 | e = NBITS - e; | |
4953 | emov (f, y); | |
4954 | if (e <= 0) | |
4955 | return; | |
4956 | ||
4957 | p = &y[0]; | |
4958 | while (e >= 16) | |
4959 | { | |
4960 | *p++ = 0; | |
4961 | e -= 16; | |
4962 | } | |
4963 | /* clear the remaining bits */ | |
4964 | *p &= bmask[e]; | |
4965 | /* truncate negatives toward minus infinity */ | |
4966 | isitneg: | |
4967 | ||
4968 | if ((unsigned EMUSHORT) expon & (unsigned EMUSHORT) 0x8000) | |
4969 | { | |
4970 | for (i = 0; i < NE - 1; i++) | |
4971 | { | |
4972 | if (f[i] != y[i]) | |
4973 | { | |
4974 | esub (eone, y, y); | |
4975 | break; | |
4976 | } | |
4977 | } | |
4978 | } | |
4979 | } | |
4980 | ||
4981 | ||
defb5dab RK |
4982 | /* Returns s and exp such that s * 2**exp = x and .5 <= s < 1. |
4983 | For example, 1.1 = 0.55 * 2**1 | |
4984 | Handles denormalized numbers properly using long integer exp. */ | |
a0353055 RK |
4985 | |
4986 | static void | |
985b6196 RS |
4987 | efrexp (x, exp, s) |
4988 | unsigned EMUSHORT x[]; | |
4989 | int *exp; | |
4990 | unsigned EMUSHORT s[]; | |
4991 | { | |
4992 | unsigned EMUSHORT xi[NI]; | |
4993 | EMULONG li; | |
4994 | ||
4995 | emovi (x, xi); | |
4996 | li = (EMULONG) ((EMUSHORT) xi[1]); | |
4997 | ||
4998 | if (li == 0) | |
4999 | { | |
5000 | li -= enormlz (xi); | |
5001 | } | |
5002 | xi[1] = 0x3ffe; | |
5003 | emovo (xi, s); | |
5004 | *exp = (int) (li - 0x3ffe); | |
5005 | } | |
5006 | ||
5007 | ||
5008 | ||
defb5dab | 5009 | /* Return y = x * 2**pwr2. */ |
a0353055 RK |
5010 | |
5011 | static void | |
985b6196 RS |
5012 | eldexp (x, pwr2, y) |
5013 | unsigned EMUSHORT x[]; | |
5014 | int pwr2; | |
5015 | unsigned EMUSHORT y[]; | |
5016 | { | |
5017 | unsigned EMUSHORT xi[NI]; | |
5018 | EMULONG li; | |
5019 | int i; | |
5020 | ||
5021 | emovi (x, xi); | |
5022 | li = xi[1]; | |
5023 | li += pwr2; | |
5024 | i = 0; | |
5025 | emdnorm (xi, i, i, li, 64); | |
5026 | emovo (xi, y); | |
5027 | } | |
5028 | ||
5029 | ||
5030 | /* c = remainder after dividing b by a | |
defb5dab | 5031 | Least significant integer quotient bits left in equot[]. */ |
a0353055 RK |
5032 | |
5033 | static void | |
985b6196 RS |
5034 | eremain (a, b, c) |
5035 | unsigned EMUSHORT a[], b[], c[]; | |
5036 | { | |
5037 | unsigned EMUSHORT den[NI], num[NI]; | |
5038 | ||
66b6d60b | 5039 | #ifdef NANS |
242cef1e RS |
5040 | if (eisinf (b) |
5041 | || (ecmp (a, ezero) == 0) | |
5042 | || eisnan (a) | |
5043 | || eisnan (b)) | |
66b6d60b | 5044 | { |
29e11dab | 5045 | enan (c, 0); |
66b6d60b RS |
5046 | return; |
5047 | } | |
5048 | #endif | |
985b6196 RS |
5049 | if (ecmp (a, ezero) == 0) |
5050 | { | |
5051 | mtherr ("eremain", SING); | |
5052 | eclear (c); | |
5053 | return; | |
5054 | } | |
5055 | emovi (a, den); | |
5056 | emovi (b, num); | |
5057 | eiremain (den, num); | |
5058 | /* Sign of remainder = sign of quotient */ | |
5059 | if (a[0] == b[0]) | |
5060 | num[0] = 0; | |
5061 | else | |
5062 | num[0] = 0xffff; | |
5063 | emovo (num, c); | |
5064 | } | |
5065 | ||
a0353055 | 5066 | static void |
985b6196 RS |
5067 | eiremain (den, num) |
5068 | unsigned EMUSHORT den[], num[]; | |
5069 | { | |
5070 | EMULONG ld, ln; | |
5071 | unsigned EMUSHORT j; | |
5072 | ||
5073 | ld = den[E]; | |
5074 | ld -= enormlz (den); | |
5075 | ln = num[E]; | |
5076 | ln -= enormlz (num); | |
5077 | ecleaz (equot); | |
5078 | while (ln >= ld) | |
5079 | { | |
5080 | if (ecmpm (den, num) <= 0) | |
5081 | { | |
5082 | esubm (den, num); | |
5083 | j = 1; | |
5084 | } | |
5085 | else | |
5086 | { | |
5087 | j = 0; | |
5088 | } | |
5089 | eshup1 (equot); | |
5090 | equot[NI - 1] |= j; | |
5091 | eshup1 (num); | |
5092 | ln -= 1; | |
5093 | } | |
5094 | emdnorm (num, 0, 0, ln, 0); | |
5095 | } | |
5096 | ||
defb5dab RK |
5097 | /* This routine may be called to report one of the following |
5098 | error conditions (in the include file mconf.h). | |
5099 | ||
5100 | Mnemonic Value Significance | |
5101 | ||
5102 | DOMAIN 1 argument domain error | |
5103 | SING 2 function singularity | |
5104 | OVERFLOW 3 overflow range error | |
5105 | UNDERFLOW 4 underflow range error | |
5106 | TLOSS 5 total loss of precision | |
5107 | PLOSS 6 partial loss of precision | |
5108 | INVALID 7 NaN - producing operation | |
5109 | EDOM 33 Unix domain error code | |
5110 | ERANGE 34 Unix range error code | |
5111 | ||
5112 | The default version of the file prints the function name, | |
5113 | passed to it by the pointer fctnam, followed by the | |
5114 | error condition. The display is directed to the standard | |
5115 | output device. The routine then returns to the calling | |
5116 | program. Users may wish to modify the program to abort by | |
5117 | calling exit under severe error conditions such as domain | |
5118 | errors. | |
5119 | ||
5120 | Since all error conditions pass control to this function, | |
5121 | the display may be easily changed, eliminated, or directed | |
5122 | to an error logging device. */ | |
5123 | ||
5124 | /* Note: the order of appearance of the following messages is bound to the | |
5125 | error codes defined above. */ | |
985b6196 | 5126 | |
66b6d60b RS |
5127 | #define NMSGS 8 |
5128 | static char *ermsg[NMSGS] = | |
985b6196 RS |
5129 | { |
5130 | "unknown", /* error code 0 */ | |
5131 | "domain", /* error code 1 */ | |
5132 | "singularity", /* et seq. */ | |
5133 | "overflow", | |
5134 | "underflow", | |
5135 | "total loss of precision", | |
66b6d60b RS |
5136 | "partial loss of precision", |
5137 | "invalid operation" | |
985b6196 RS |
5138 | }; |
5139 | ||
5140 | int merror = 0; | |
5141 | extern int merror; | |
5142 | ||
a0353055 | 5143 | static void |
985b6196 RS |
5144 | mtherr (name, code) |
5145 | char *name; | |
5146 | int code; | |
5147 | { | |
5148 | char errstr[80]; | |
5149 | ||
defb5dab RK |
5150 | /* Display string passed by calling program, which is supposed to be the |
5151 | name of the function in which the error occurred. | |
5152 | ||
5153 | Display error message defined by the code argument. */ | |
985b6196 | 5154 | |
66b6d60b | 5155 | if ((code <= 0) || (code >= NMSGS)) |
985b6196 | 5156 | code = 0; |
a8d78514 | 5157 | sprintf (errstr, " %s %s error", name, ermsg[code]); |
64685ffa RS |
5158 | if (extra_warnings) |
5159 | warning (errstr); | |
985b6196 RS |
5160 | /* Set global error message word */ |
5161 | merror = code + 1; | |
985b6196 RS |
5162 | } |
5163 | ||
842fbaaa | 5164 | #ifdef DEC |
defb5dab | 5165 | /* Convert DEC double precision to e type. */ |
a0353055 RK |
5166 | |
5167 | static void | |
985b6196 RS |
5168 | dectoe (d, e) |
5169 | unsigned EMUSHORT *d; | |
5170 | unsigned EMUSHORT *e; | |
5171 | { | |
5172 | unsigned EMUSHORT y[NI]; | |
5173 | register unsigned EMUSHORT r, *p; | |
5174 | ||
5175 | ecleaz (y); /* start with a zero */ | |
5176 | p = y; /* point to our number */ | |
5177 | r = *d; /* get DEC exponent word */ | |
5178 | if (*d & (unsigned int) 0x8000) | |
5179 | *p = 0xffff; /* fill in our sign */ | |
5180 | ++p; /* bump pointer to our exponent word */ | |
5181 | r &= 0x7fff; /* strip the sign bit */ | |
5182 | if (r == 0) /* answer = 0 if high order DEC word = 0 */ | |
5183 | goto done; | |
5184 | ||
5185 | ||
5186 | r >>= 7; /* shift exponent word down 7 bits */ | |
5187 | r += EXONE - 0201; /* subtract DEC exponent offset */ | |
5188 | /* add our e type exponent offset */ | |
5189 | *p++ = r; /* to form our exponent */ | |
5190 | ||
5191 | r = *d++; /* now do the high order mantissa */ | |
5192 | r &= 0177; /* strip off the DEC exponent and sign bits */ | |
5193 | r |= 0200; /* the DEC understood high order mantissa bit */ | |
5194 | *p++ = r; /* put result in our high guard word */ | |
5195 | ||
5196 | *p++ = *d++; /* fill in the rest of our mantissa */ | |
5197 | *p++ = *d++; | |
5198 | *p = *d; | |
5199 | ||
5200 | eshdn8 (y); /* shift our mantissa down 8 bits */ | |
5201 | done: | |
5202 | emovo (y, e); | |
5203 | } | |
5204 | ||
5205 | ||
5206 | ||
5207 | /* | |
5208 | ; convert e type to DEC double precision | |
5209 | ; double d; | |
5210 | ; EMUSHORT e[NE]; | |
5211 | ; etodec (e, &d); | |
5212 | */ | |
985b6196 | 5213 | |
a0353055 | 5214 | static void |
985b6196 RS |
5215 | etodec (x, d) |
5216 | unsigned EMUSHORT *x, *d; | |
5217 | { | |
5218 | unsigned EMUSHORT xi[NI]; | |
842fbaaa JW |
5219 | EMULONG exp; |
5220 | int rndsav; | |
985b6196 RS |
5221 | |
5222 | emovi (x, xi); | |
5223 | exp = (EMULONG) xi[E] - (EXONE - 0201); /* adjust exponent for offsets */ | |
5224 | /* round off to nearest or even */ | |
5225 | rndsav = rndprc; | |
5226 | rndprc = 56; | |
5227 | emdnorm (xi, 0, 0, exp, 64); | |
5228 | rndprc = rndsav; | |
5229 | todec (xi, d); | |
5230 | } | |
5231 | ||
a0353055 | 5232 | static void |
985b6196 RS |
5233 | todec (x, y) |
5234 | unsigned EMUSHORT *x, *y; | |
5235 | { | |
5236 | unsigned EMUSHORT i; | |
5237 | unsigned EMUSHORT *p; | |
5238 | ||
5239 | p = x; | |
5240 | *y = 0; | |
5241 | if (*p++) | |
5242 | *y = 0100000; | |
5243 | i = *p++; | |
5244 | if (i == 0) | |
5245 | { | |
5246 | *y++ = 0; | |
5247 | *y++ = 0; | |
5248 | *y++ = 0; | |
5249 | *y++ = 0; | |
5250 | return; | |
5251 | } | |
5252 | if (i > 0377) | |
5253 | { | |
5254 | *y++ |= 077777; | |
5255 | *y++ = 0xffff; | |
5256 | *y++ = 0xffff; | |
5257 | *y++ = 0xffff; | |
64685ffa RS |
5258 | #ifdef ERANGE |
5259 | errno = ERANGE; | |
5260 | #endif | |
985b6196 RS |
5261 | return; |
5262 | } | |
5263 | i &= 0377; | |
5264 | i <<= 7; | |
5265 | eshup8 (x); | |
5266 | x[M] &= 0177; | |
5267 | i |= x[M]; | |
5268 | *y++ |= i; | |
5269 | *y++ = x[M + 1]; | |
5270 | *y++ = x[M + 2]; | |
5271 | *y++ = x[M + 3]; | |
5272 | } | |
842fbaaa JW |
5273 | #endif /* DEC */ |
5274 | ||
5275 | #ifdef IBM | |
defb5dab | 5276 | /* Convert IBM single/double precision to e type. */ |
a0353055 RK |
5277 | |
5278 | static void | |
842fbaaa JW |
5279 | ibmtoe (d, e, mode) |
5280 | unsigned EMUSHORT *d; | |
5281 | unsigned EMUSHORT *e; | |
5282 | enum machine_mode mode; | |
5283 | { | |
5284 | unsigned EMUSHORT y[NI]; | |
5285 | register unsigned EMUSHORT r, *p; | |
5286 | int rndsav; | |
5287 | ||
5288 | ecleaz (y); /* start with a zero */ | |
5289 | p = y; /* point to our number */ | |
5290 | r = *d; /* get IBM exponent word */ | |
5291 | if (*d & (unsigned int) 0x8000) | |
5292 | *p = 0xffff; /* fill in our sign */ | |
5293 | ++p; /* bump pointer to our exponent word */ | |
5294 | r &= 0x7f00; /* strip the sign bit */ | |
5295 | r >>= 6; /* shift exponent word down 6 bits */ | |
5296 | /* in fact shift by 8 right and 2 left */ | |
5297 | r += EXONE - (0x41 << 2); /* subtract IBM exponent offset */ | |
5298 | /* add our e type exponent offset */ | |
5299 | *p++ = r; /* to form our exponent */ | |
5300 | ||
5301 | *p++ = *d++ & 0xff; /* now do the high order mantissa */ | |
5302 | /* strip off the IBM exponent and sign bits */ | |
5303 | if (mode != SFmode) /* there are only 2 words in SFmode */ | |
5304 | { | |
5305 | *p++ = *d++; /* fill in the rest of our mantissa */ | |
5306 | *p++ = *d++; | |
5307 | } | |
5308 | *p = *d; | |
5309 | ||
5310 | if (y[M] == 0 && y[M+1] == 0 && y[M+2] == 0 && y[M+3] == 0) | |
5311 | y[0] = y[E] = 0; | |
5312 | else | |
5313 | y[E] -= 5 + enormlz (y); /* now normalise the mantissa */ | |
5314 | /* handle change in RADIX */ | |
5315 | emovo (y, e); | |
5316 | } | |
5317 | ||
985b6196 | 5318 | |
985b6196 | 5319 | |
defb5dab | 5320 | /* Convert e type to IBM single/double precision. */ |
842fbaaa | 5321 | |
a0353055 | 5322 | static void |
842fbaaa JW |
5323 | etoibm (x, d, mode) |
5324 | unsigned EMUSHORT *x, *d; | |
5325 | enum machine_mode mode; | |
5326 | { | |
5327 | unsigned EMUSHORT xi[NI]; | |
5328 | EMULONG exp; | |
5329 | int rndsav; | |
5330 | ||
5331 | emovi (x, xi); | |
5332 | exp = (EMULONG) xi[E] - (EXONE - (0x41 << 2)); /* adjust exponent for offsets */ | |
5333 | /* round off to nearest or even */ | |
5334 | rndsav = rndprc; | |
5335 | rndprc = 56; | |
5336 | emdnorm (xi, 0, 0, exp, 64); | |
5337 | rndprc = rndsav; | |
5338 | toibm (xi, d, mode); | |
5339 | } | |
5340 | ||
a0353055 | 5341 | static void |
842fbaaa JW |
5342 | toibm (x, y, mode) |
5343 | unsigned EMUSHORT *x, *y; | |
5344 | enum machine_mode mode; | |
5345 | { | |
5346 | unsigned EMUSHORT i; | |
5347 | unsigned EMUSHORT *p; | |
5348 | int r; | |
5349 | ||
5350 | p = x; | |
5351 | *y = 0; | |
5352 | if (*p++) | |
5353 | *y = 0x8000; | |
5354 | i = *p++; | |
5355 | if (i == 0) | |
5356 | { | |
5357 | *y++ = 0; | |
5358 | *y++ = 0; | |
5359 | if (mode != SFmode) | |
5360 | { | |
5361 | *y++ = 0; | |
5362 | *y++ = 0; | |
5363 | } | |
5364 | return; | |
5365 | } | |
5366 | r = i & 0x3; | |
5367 | i >>= 2; | |
5368 | if (i > 0x7f) | |
5369 | { | |
5370 | *y++ |= 0x7fff; | |
5371 | *y++ = 0xffff; | |
5372 | if (mode != SFmode) | |
5373 | { | |
5374 | *y++ = 0xffff; | |
5375 | *y++ = 0xffff; | |
5376 | } | |
5377 | #ifdef ERANGE | |
5378 | errno = ERANGE; | |
5379 | #endif | |
5380 | return; | |
5381 | } | |
5382 | i &= 0x7f; | |
5383 | *y |= (i << 8); | |
5384 | eshift (x, r + 5); | |
5385 | *y++ |= x[M]; | |
5386 | *y++ = x[M + 1]; | |
5387 | if (mode != SFmode) | |
5388 | { | |
5389 | *y++ = x[M + 2]; | |
5390 | *y++ = x[M + 3]; | |
5391 | } | |
5392 | } | |
5393 | #endif /* IBM */ | |
66b6d60b RS |
5394 | |
5395 | /* Output a binary NaN bit pattern in the target machine's format. */ | |
5396 | ||
5397 | /* If special NaN bit patterns are required, define them in tm.h | |
5398 | as arrays of unsigned 16-bit shorts. Otherwise, use the default | |
5399 | patterns here. */ | |
7729f1ca RS |
5400 | #ifdef TFMODE_NAN |
5401 | TFMODE_NAN; | |
5402 | #else | |
66b6d60b RS |
5403 | #ifdef MIEEE |
5404 | unsigned EMUSHORT TFnan[8] = | |
5405 | {0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}; | |
5406 | #endif | |
5407 | #ifdef IBMPC | |
5408 | unsigned EMUSHORT TFnan[8] = {0, 0, 0, 0, 0, 0, 0x8000, 0xffff}; | |
5409 | #endif | |
5410 | #endif | |
5411 | ||
7729f1ca RS |
5412 | #ifdef XFMODE_NAN |
5413 | XFMODE_NAN; | |
5414 | #else | |
66b6d60b RS |
5415 | #ifdef MIEEE |
5416 | unsigned EMUSHORT XFnan[6] = {0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}; | |
5417 | #endif | |
5418 | #ifdef IBMPC | |
5419 | unsigned EMUSHORT XFnan[6] = {0, 0, 0, 0xc000, 0xffff, 0}; | |
5420 | #endif | |
5421 | #endif | |
5422 | ||
7729f1ca RS |
5423 | #ifdef DFMODE_NAN |
5424 | DFMODE_NAN; | |
5425 | #else | |
66b6d60b RS |
5426 | #ifdef MIEEE |
5427 | unsigned EMUSHORT DFnan[4] = {0x7fff, 0xffff, 0xffff, 0xffff}; | |
5428 | #endif | |
5429 | #ifdef IBMPC | |
5430 | unsigned EMUSHORT DFnan[4] = {0, 0, 0, 0xfff8}; | |
5431 | #endif | |
5432 | #endif | |
5433 | ||
7729f1ca RS |
5434 | #ifdef SFMODE_NAN |
5435 | SFMODE_NAN; | |
5436 | #else | |
66b6d60b RS |
5437 | #ifdef MIEEE |
5438 | unsigned EMUSHORT SFnan[2] = {0x7fff, 0xffff}; | |
5439 | #endif | |
5440 | #ifdef IBMPC | |
5441 | unsigned EMUSHORT SFnan[2] = {0, 0xffc0}; | |
5442 | #endif | |
5443 | #endif | |
5444 | ||
5445 | ||
a0353055 | 5446 | static void |
29e11dab | 5447 | make_nan (nan, sign, mode) |
a0353055 RK |
5448 | unsigned EMUSHORT *nan; |
5449 | int sign; | |
5450 | enum machine_mode mode; | |
66b6d60b | 5451 | { |
29e11dab | 5452 | int n; |
66b6d60b RS |
5453 | unsigned EMUSHORT *p; |
5454 | ||
5455 | switch (mode) | |
5456 | { | |
5457 | /* Possibly the `reserved operand' patterns on a VAX can be | |
5458 | used like NaN's, but probably not in the same way as IEEE. */ | |
842fbaaa | 5459 | #if !defined(DEC) && !defined(IBM) |
66b6d60b RS |
5460 | case TFmode: |
5461 | n = 8; | |
5462 | p = TFnan; | |
5463 | break; | |
5464 | case XFmode: | |
5465 | n = 6; | |
5466 | p = XFnan; | |
5467 | break; | |
5468 | case DFmode: | |
5469 | n = 4; | |
5470 | p = DFnan; | |
5471 | break; | |
bfbc6416 | 5472 | case HFmode: |
66b6d60b RS |
5473 | case SFmode: |
5474 | n = 2; | |
5475 | p = SFnan; | |
5476 | break; | |
5477 | #endif | |
5478 | default: | |
5479 | abort (); | |
5480 | } | |
29e11dab RK |
5481 | #ifdef MIEEE |
5482 | *nan++ = (sign << 15) | *p++; | |
5483 | #endif | |
5484 | while (--n != 0) | |
66b6d60b | 5485 | *nan++ = *p++; |
29e11dab RK |
5486 | #ifndef MIEEE |
5487 | *nan = (sign << 15) | *p; | |
5488 | #endif | |
66b6d60b RS |
5489 | } |
5490 | ||
b31c244f RS |
5491 | /* Convert an SFmode target `float' value to a REAL_VALUE_TYPE. |
5492 | This is the inverse of the function `etarsingle' invoked by | |
5493 | REAL_VALUE_TO_TARGET_SINGLE. */ | |
5494 | ||
5495 | REAL_VALUE_TYPE | |
5496 | ereal_from_float (f) | |
04ae9e4c | 5497 | HOST_WIDE_INT f; |
b31c244f RS |
5498 | { |
5499 | REAL_VALUE_TYPE r; | |
5500 | unsigned EMUSHORT s[2]; | |
5501 | unsigned EMUSHORT e[NE]; | |
5502 | ||
5503 | /* Convert 32 bit integer to array of 16 bit pieces in target machine order. | |
5504 | This is the inverse operation to what the function `endian' does. */ | |
b51ab098 | 5505 | #if FLOAT_WORDS_BIG_ENDIAN |
b31c244f RS |
5506 | s[0] = (unsigned EMUSHORT) (f >> 16); |
5507 | s[1] = (unsigned EMUSHORT) f; | |
5508 | #else | |
5509 | s[0] = (unsigned EMUSHORT) f; | |
5510 | s[1] = (unsigned EMUSHORT) (f >> 16); | |
5511 | #endif | |
5512 | /* Convert and promote the target float to E-type. */ | |
5513 | e24toe (s, e); | |
5514 | /* Output E-type to REAL_VALUE_TYPE. */ | |
5515 | PUT_REAL (e, &r); | |
5516 | return r; | |
5517 | } | |
5518 | ||
842fbaaa | 5519 | |
b31c244f RS |
5520 | /* Convert a DFmode target `double' value to a REAL_VALUE_TYPE. |
5521 | This is the inverse of the function `etardouble' invoked by | |
5522 | REAL_VALUE_TO_TARGET_DOUBLE. | |
5523 | ||
04ae9e4c RK |
5524 | The DFmode is stored as an array of HOST_WIDE_INT in the target's |
5525 | data format, with no holes in the bit packing. The first element | |
b31c244f RS |
5526 | of the input array holds the bits that would come first in the |
5527 | target computer's memory. */ | |
5528 | ||
5529 | REAL_VALUE_TYPE | |
5530 | ereal_from_double (d) | |
04ae9e4c | 5531 | HOST_WIDE_INT d[]; |
b31c244f RS |
5532 | { |
5533 | REAL_VALUE_TYPE r; | |
5534 | unsigned EMUSHORT s[4]; | |
5535 | unsigned EMUSHORT e[NE]; | |
5536 | ||
04ae9e4c | 5537 | /* Convert array of HOST_WIDE_INT to equivalent array of 16-bit pieces. */ |
b51ab098 | 5538 | #if FLOAT_WORDS_BIG_ENDIAN |
b31c244f RS |
5539 | s[0] = (unsigned EMUSHORT) (d[0] >> 16); |
5540 | s[1] = (unsigned EMUSHORT) d[0]; | |
60e61165 RK |
5541 | #if HOST_BITS_PER_WIDE_INT == 32 |
5542 | s[2] = (unsigned EMUSHORT) (d[1] >> 16); | |
5543 | s[3] = (unsigned EMUSHORT) d[1]; | |
5544 | #else | |
5545 | /* In this case the entire target double is contained in the | |
5546 | first array element. The second element of the input is ignored. */ | |
5547 | s[2] = (unsigned EMUSHORT) (d[0] >> 48); | |
5548 | s[3] = (unsigned EMUSHORT) (d[0] >> 32); | |
5549 | #endif | |
b31c244f | 5550 | #else |
04ae9e4c | 5551 | /* Target float words are little-endian. */ |
b31c244f RS |
5552 | s[0] = (unsigned EMUSHORT) d[0]; |
5553 | s[1] = (unsigned EMUSHORT) (d[0] >> 16); | |
60e61165 RK |
5554 | #if HOST_BITS_PER_WIDE_INT == 32 |
5555 | s[2] = (unsigned EMUSHORT) d[1]; | |
5556 | s[3] = (unsigned EMUSHORT) (d[1] >> 16); | |
5557 | #else | |
5558 | s[2] = (unsigned EMUSHORT) (d[0] >> 32); | |
5559 | s[3] = (unsigned EMUSHORT) (d[0] >> 48); | |
5560 | #endif | |
b31c244f RS |
5561 | #endif |
5562 | /* Convert target double to E-type. */ | |
5563 | e53toe (s, e); | |
5564 | /* Output E-type to REAL_VALUE_TYPE. */ | |
5565 | PUT_REAL (e, &r); | |
5566 | return r; | |
5567 | } | |
842fbaaa JW |
5568 | |
5569 | ||
b51ab098 RK |
5570 | /* Convert target computer unsigned 64-bit integer to e-type. |
5571 | The endian-ness of DImode follows the convention for integers, | |
5572 | so we use WORDS_BIG_ENDIAN here, not FLOAT_WORDS_BIG_ENDIAN. */ | |
842fbaaa | 5573 | |
a0353055 | 5574 | static void |
842fbaaa JW |
5575 | uditoe (di, e) |
5576 | unsigned EMUSHORT *di; /* Address of the 64-bit int. */ | |
5577 | unsigned EMUSHORT *e; | |
5578 | { | |
5579 | unsigned EMUSHORT yi[NI]; | |
5580 | int k; | |
5581 | ||
5582 | ecleaz (yi); | |
5583 | #if WORDS_BIG_ENDIAN | |
5584 | for (k = M; k < M + 4; k++) | |
5585 | yi[k] = *di++; | |
5586 | #else | |
5587 | for (k = M + 3; k >= M; k--) | |
5588 | yi[k] = *di++; | |
5589 | #endif | |
5590 | yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */ | |
5591 | if ((k = enormlz (yi)) > NBITS)/* normalize the significand */ | |
5592 | ecleaz (yi); /* it was zero */ | |
5593 | else | |
5594 | yi[E] -= (unsigned EMUSHORT) k;/* subtract shift count from exponent */ | |
5595 | emovo (yi, e); | |
5596 | } | |
5597 | ||
5598 | /* Convert target computer signed 64-bit integer to e-type. */ | |
5599 | ||
a0353055 | 5600 | static void |
842fbaaa JW |
5601 | ditoe (di, e) |
5602 | unsigned EMUSHORT *di; /* Address of the 64-bit int. */ | |
5603 | unsigned EMUSHORT *e; | |
5604 | { | |
5605 | unsigned EMULONG acc; | |
5606 | unsigned EMUSHORT yi[NI]; | |
5607 | unsigned EMUSHORT carry; | |
5608 | int k, sign; | |
5609 | ||
5610 | ecleaz (yi); | |
5611 | #if WORDS_BIG_ENDIAN | |
5612 | for (k = M; k < M + 4; k++) | |
5613 | yi[k] = *di++; | |
5614 | #else | |
5615 | for (k = M + 3; k >= M; k--) | |
5616 | yi[k] = *di++; | |
5617 | #endif | |
5618 | /* Take absolute value */ | |
5619 | sign = 0; | |
5620 | if (yi[M] & 0x8000) | |
5621 | { | |
5622 | sign = 1; | |
5623 | carry = 0; | |
5624 | for (k = M + 3; k >= M; k--) | |
5625 | { | |
5626 | acc = (unsigned EMULONG) (~yi[k] & 0xffff) + carry; | |
5627 | yi[k] = acc; | |
5628 | carry = 0; | |
5629 | if (acc & 0x10000) | |
5630 | carry = 1; | |
5631 | } | |
5632 | } | |
5633 | yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */ | |
5634 | if ((k = enormlz (yi)) > NBITS)/* normalize the significand */ | |
5635 | ecleaz (yi); /* it was zero */ | |
5636 | else | |
5637 | yi[E] -= (unsigned EMUSHORT) k;/* subtract shift count from exponent */ | |
5638 | emovo (yi, e); | |
5639 | if (sign) | |
5640 | eneg (e); | |
5641 | } | |
5642 | ||
5643 | ||
5644 | /* Convert e-type to unsigned 64-bit int. */ | |
5645 | ||
008f0d36 RK |
5646 | static void |
5647 | etoudi (x, i) | |
842fbaaa JW |
5648 | unsigned EMUSHORT *x; |
5649 | unsigned EMUSHORT *i; | |
5650 | { | |
5651 | unsigned EMUSHORT xi[NI]; | |
5652 | int j, k; | |
5653 | ||
5654 | emovi (x, xi); | |
5655 | if (xi[0]) | |
5656 | { | |
5657 | xi[M] = 0; | |
5658 | goto noshift; | |
5659 | } | |
5660 | k = (int) xi[E] - (EXONE - 1); | |
5661 | if (k <= 0) | |
5662 | { | |
5663 | for (j = 0; j < 4; j++) | |
5664 | *i++ = 0; | |
5665 | return; | |
5666 | } | |
5667 | if (k > 64) | |
5668 | { | |
5669 | for (j = 0; j < 4; j++) | |
5670 | *i++ = 0xffff; | |
5671 | if (extra_warnings) | |
5672 | warning ("overflow on truncation to integer"); | |
5673 | return; | |
5674 | } | |
5675 | if (k > 16) | |
5676 | { | |
5677 | /* Shift more than 16 bits: first shift up k-16 mod 16, | |
5678 | then shift up by 16's. */ | |
5679 | j = k - ((k >> 4) << 4); | |
5680 | if (j == 0) | |
5681 | j = 16; | |
5682 | eshift (xi, j); | |
5683 | #if WORDS_BIG_ENDIAN | |
5684 | *i++ = xi[M]; | |
5685 | #else | |
5686 | i += 3; | |
5687 | *i-- = xi[M]; | |
5688 | #endif | |
5689 | k -= j; | |
5690 | do | |
5691 | { | |
5692 | eshup6 (xi); | |
5693 | #if WORDS_BIG_ENDIAN | |
5694 | *i++ = xi[M]; | |
5695 | #else | |
5696 | *i-- = xi[M]; | |
5697 | #endif | |
5698 | } | |
5699 | while ((k -= 16) > 0); | |
5700 | } | |
5701 | else | |
5702 | { | |
5703 | /* shift not more than 16 bits */ | |
5704 | eshift (xi, k); | |
5705 | ||
5706 | noshift: | |
5707 | ||
5708 | #if WORDS_BIG_ENDIAN | |
5709 | i += 3; | |
5710 | *i-- = xi[M]; | |
5711 | *i-- = 0; | |
5712 | *i-- = 0; | |
5713 | *i = 0; | |
5714 | #else | |
5715 | *i++ = xi[M]; | |
5716 | *i++ = 0; | |
5717 | *i++ = 0; | |
5718 | *i = 0; | |
5719 | #endif | |
5720 | } | |
5721 | } | |
5722 | ||
5723 | ||
5724 | /* Convert e-type to signed 64-bit int. */ | |
5725 | ||
a0353055 | 5726 | static void |
842fbaaa JW |
5727 | etodi (x, i) |
5728 | unsigned EMUSHORT *x; | |
5729 | unsigned EMUSHORT *i; | |
5730 | { | |
5731 | unsigned EMULONG acc; | |
5732 | unsigned EMUSHORT xi[NI]; | |
5733 | unsigned EMUSHORT carry; | |
5734 | unsigned EMUSHORT *isave; | |
5735 | int j, k; | |
5736 | ||
5737 | emovi (x, xi); | |
5738 | k = (int) xi[E] - (EXONE - 1); | |
5739 | if (k <= 0) | |
5740 | { | |
5741 | for (j = 0; j < 4; j++) | |
5742 | *i++ = 0; | |
5743 | return; | |
5744 | } | |
5745 | if (k > 64) | |
5746 | { | |
5747 | for (j = 0; j < 4; j++) | |
5748 | *i++ = 0xffff; | |
5749 | if (extra_warnings) | |
5750 | warning ("overflow on truncation to integer"); | |
5751 | return; | |
5752 | } | |
5753 | isave = i; | |
5754 | if (k > 16) | |
5755 | { | |
5756 | /* Shift more than 16 bits: first shift up k-16 mod 16, | |
5757 | then shift up by 16's. */ | |
5758 | j = k - ((k >> 4) << 4); | |
5759 | if (j == 0) | |
5760 | j = 16; | |
5761 | eshift (xi, j); | |
5762 | #if WORDS_BIG_ENDIAN | |
5763 | *i++ = xi[M]; | |
5764 | #else | |
5765 | i += 3; | |
5766 | *i-- = xi[M]; | |
5767 | #endif | |
5768 | k -= j; | |
5769 | do | |
5770 | { | |
5771 | eshup6 (xi); | |
5772 | #if WORDS_BIG_ENDIAN | |
5773 | *i++ = xi[M]; | |
5774 | #else | |
5775 | *i-- = xi[M]; | |
5776 | #endif | |
5777 | } | |
5778 | while ((k -= 16) > 0); | |
5779 | } | |
5780 | else | |
5781 | { | |
5782 | /* shift not more than 16 bits */ | |
5783 | eshift (xi, k); | |
5784 | ||
5785 | #if WORDS_BIG_ENDIAN | |
5786 | i += 3; | |
5787 | *i = xi[M]; | |
5788 | *i-- = 0; | |
5789 | *i-- = 0; | |
5790 | *i = 0; | |
5791 | #else | |
5792 | *i++ = xi[M]; | |
5793 | *i++ = 0; | |
5794 | *i++ = 0; | |
5795 | *i = 0; | |
5796 | #endif | |
5797 | } | |
5798 | /* Negate if negative */ | |
5799 | if (xi[0]) | |
5800 | { | |
5801 | carry = 0; | |
5802 | #if WORDS_BIG_ENDIAN | |
5803 | isave += 3; | |
5804 | #endif | |
5805 | for (k = 0; k < 4; k++) | |
5806 | { | |
5807 | acc = (unsigned EMULONG) (~(*isave) & 0xffff) + carry; | |
5808 | #if WORDS_BIG_ENDIAN | |
5809 | *isave-- = acc; | |
5810 | #else | |
5811 | *isave++ = acc; | |
5812 | #endif | |
5813 | carry = 0; | |
5814 | if (acc & 0x10000) | |
5815 | carry = 1; | |
5816 | } | |
5817 | } | |
5818 | } | |
5819 | ||
5820 | ||
5821 | /* Longhand square root routine. */ | |
5822 | ||
5823 | ||
5824 | static int esqinited = 0; | |
5825 | static unsigned short sqrndbit[NI]; | |
5826 | ||
a0353055 | 5827 | static void |
842fbaaa JW |
5828 | esqrt (x, y) |
5829 | unsigned EMUSHORT *x, *y; | |
5830 | { | |
5831 | unsigned EMUSHORT temp[NI], num[NI], sq[NI], xx[NI]; | |
5832 | EMULONG m, exp; | |
5833 | int i, j, k, n, nlups; | |
5834 | ||
5835 | if (esqinited == 0) | |
5836 | { | |
5837 | ecleaz (sqrndbit); | |
5838 | sqrndbit[NI - 2] = 1; | |
5839 | esqinited = 1; | |
5840 | } | |
5841 | /* Check for arg <= 0 */ | |
5842 | i = ecmp (x, ezero); | |
5843 | if (i <= 0) | |
5844 | { | |
29e11dab | 5845 | if (i == -1) |
842fbaaa | 5846 | { |
29e11dab RK |
5847 | mtherr ("esqrt", DOMAIN); |
5848 | eclear (y); | |
842fbaaa | 5849 | } |
29e11dab RK |
5850 | else |
5851 | emov (x, y); | |
842fbaaa JW |
5852 | return; |
5853 | } | |
5854 | ||
5855 | #ifdef INFINITY | |
5856 | if (eisinf (x)) | |
5857 | { | |
5858 | eclear (y); | |
5859 | einfin (y); | |
5860 | return; | |
5861 | } | |
5862 | #endif | |
5863 | /* Bring in the arg and renormalize if it is denormal. */ | |
5864 | emovi (x, xx); | |
5865 | m = (EMULONG) xx[1]; /* local long word exponent */ | |
5866 | if (m == 0) | |
5867 | m -= enormlz (xx); | |
5868 | ||
5869 | /* Divide exponent by 2 */ | |
5870 | m -= 0x3ffe; | |
5871 | exp = (unsigned short) ((m / 2) + 0x3ffe); | |
5872 | ||
5873 | /* Adjust if exponent odd */ | |
5874 | if ((m & 1) != 0) | |
5875 | { | |
5876 | if (m > 0) | |
5877 | exp += 1; | |
5878 | eshdn1 (xx); | |
5879 | } | |
5880 | ||
5881 | ecleaz (sq); | |
5882 | ecleaz (num); | |
5883 | n = 8; /* get 8 bits of result per inner loop */ | |
5884 | nlups = rndprc; | |
5885 | j = 0; | |
5886 | ||
5887 | while (nlups > 0) | |
5888 | { | |
5889 | /* bring in next word of arg */ | |
5890 | if (j < NE) | |
5891 | num[NI - 1] = xx[j + 3]; | |
5892 | /* Do additional bit on last outer loop, for roundoff. */ | |
5893 | if (nlups <= 8) | |
5894 | n = nlups + 1; | |
5895 | for (i = 0; i < n; i++) | |
5896 | { | |
5897 | /* Next 2 bits of arg */ | |
5898 | eshup1 (num); | |
5899 | eshup1 (num); | |
5900 | /* Shift up answer */ | |
5901 | eshup1 (sq); | |
5902 | /* Make trial divisor */ | |
5903 | for (k = 0; k < NI; k++) | |
5904 | temp[k] = sq[k]; | |
5905 | eshup1 (temp); | |
5906 | eaddm (sqrndbit, temp); | |
5907 | /* Subtract and insert answer bit if it goes in */ | |
5908 | if (ecmpm (temp, num) <= 0) | |
5909 | { | |
5910 | esubm (temp, num); | |
5911 | sq[NI - 2] |= 1; | |
5912 | } | |
5913 | } | |
5914 | nlups -= n; | |
5915 | j += 1; | |
5916 | } | |
5917 | ||
5918 | /* Adjust for extra, roundoff loop done. */ | |
5919 | exp += (NBITS - 1) - rndprc; | |
5920 | ||
5921 | /* Sticky bit = 1 if the remainder is nonzero. */ | |
5922 | k = 0; | |
5923 | for (i = 3; i < NI; i++) | |
5924 | k |= (int) num[i]; | |
5925 | ||
5926 | /* Renormalize and round off. */ | |
5927 | emdnorm (sq, k, 0, exp, 64); | |
5928 | emovo (sq, y); | |
5929 | } | |
985b6196 | 5930 | #endif /* EMU_NON_COMPILE not defined */ |
8ddae348 RK |
5931 | \f |
5932 | /* Return the binary precision of the significand for a given | |
5933 | floating point mode. The mode can hold an integer value | |
5934 | that many bits wide, without losing any bits. */ | |
5935 | ||
5936 | int | |
5937 | significand_size (mode) | |
5938 | enum machine_mode mode; | |
5939 | { | |
5940 | ||
5941 | switch (mode) | |
5942 | { | |
5943 | case SFmode: | |
5944 | return 24; | |
5945 | ||
5946 | case DFmode: | |
5947 | #if TARGET_FLOAT_FORMAT == IEEE_FLOAT_FORMAT | |
5948 | return 53; | |
5949 | #else | |
5950 | #if TARGET_FLOAT_FORMAT == IBM_FLOAT_FORMAT | |
5951 | return 56; | |
5952 | #else | |
5953 | #if TARGET_FLOAT_FORMAT == VAX_FLOAT_FORMAT | |
5954 | return 56; | |
5955 | #else | |
5956 | abort (); | |
5957 | #endif | |
5958 | #endif | |
5959 | #endif | |
5960 | ||
5961 | case XFmode: | |
5962 | return 64; | |
5963 | case TFmode: | |
5964 | return 113; | |
5965 | ||
5966 | default: | |
5967 | abort (); | |
5968 | } | |
5969 | } |