diff options
Diffstat (limited to 'src/regress/lib/libc/cephes/ieetst.c')
-rw-r--r-- | src/regress/lib/libc/cephes/ieetst.c | 881 |
1 files changed, 0 insertions, 881 deletions
diff --git a/src/regress/lib/libc/cephes/ieetst.c b/src/regress/lib/libc/cephes/ieetst.c deleted file mode 100644 index 974fb65c13..0000000000 --- a/src/regress/lib/libc/cephes/ieetst.c +++ /dev/null | |||
@@ -1,881 +0,0 @@ | |||
1 | /* $OpenBSD: ieetst.c,v 1.3 2017/07/27 15:08:37 bluhm Exp $ */ | ||
2 | |||
3 | /* | ||
4 | * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net> | ||
5 | * | ||
6 | * Permission to use, copy, modify, and distribute this software for any | ||
7 | * purpose with or without fee is hereby granted, provided that the above | ||
8 | * copyright notice and this permission notice appear in all copies. | ||
9 | * | ||
10 | * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES | ||
11 | * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF | ||
12 | * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR | ||
13 | * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES | ||
14 | * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN | ||
15 | * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF | ||
16 | * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. | ||
17 | */ | ||
18 | |||
19 | /* Floating point to ASCII input and output string test program. | ||
20 | * | ||
21 | * Numbers in the native machine data structure are converted | ||
22 | * to e type, then to and from decimal ASCII strings. Native | ||
23 | * printf() and scanf() functions are also used to produce | ||
24 | * and read strings. The resulting e type binary values | ||
25 | * are compared, with diagnostic printouts of any discrepancies. | ||
26 | * | ||
27 | * Steve Moshier, 16 Dec 88 | ||
28 | * last revision: 16 May 92 | ||
29 | */ | ||
30 | |||
31 | #include <float.h> | ||
32 | #include <stdio.h> | ||
33 | |||
34 | #include "mconf.h" | ||
35 | #include "ehead.h" | ||
36 | |||
37 | /* Include tests of 80-bit long double precision: */ | ||
38 | #if LDBL_MANT_DIG == 64 | ||
39 | #define LDOUBLE 1 | ||
40 | #else /* LDBL_MANT_DIG == 64 */ | ||
41 | #define LDOUBLE 0 | ||
42 | #endif /* LDBL_MANT_DIG == 64 */ | ||
43 | /* Abort subtest after getting this many errors: */ | ||
44 | #define MAXERR 5 | ||
45 | /* Number of random arguments to try (set as large as you have | ||
46 | * patience for): */ | ||
47 | #define NRAND 100 | ||
48 | /* Perform internal consistency test: */ | ||
49 | #define CHKINTERNAL 0 | ||
50 | |||
51 | static unsigned short fullp[NE], rounded[NE]; | ||
52 | float prec24, sprec24, ssprec24; | ||
53 | double prec53, sprec53, ssprec53; | ||
54 | #if LDOUBLE | ||
55 | long double prec64, sprec64, ssprec64; | ||
56 | #endif | ||
57 | |||
58 | static unsigned short rprint[NE], rscan[NE]; | ||
59 | static unsigned short q1[NE], q2[NE], q5[NE]; | ||
60 | static unsigned short e1[NE], e2[NE], e3[NE]; | ||
61 | static double d1, d2; | ||
62 | static int errprint = 0; | ||
63 | static int errscan = 0; | ||
64 | static int identerr = 0; | ||
65 | static int errtot = 0; | ||
66 | static int count = 0; | ||
67 | static char str0[80], str1[80], str2[80], str3[80]; | ||
68 | static unsigned short eten[NE], maxm[NE]; | ||
69 | |||
70 | int m, n, k2, mprec, SPREC; | ||
71 | |||
72 | char *Ten = "10.0"; | ||
73 | char tformat[10]; | ||
74 | char *format24 = "%.8e"; | ||
75 | #ifdef DEC | ||
76 | char *format53 = "%.17e"; | ||
77 | #else | ||
78 | char *format53 = "%.16e"; | ||
79 | #endif | ||
80 | char *fformat24 = "%e"; | ||
81 | char *fformat53 = "%le"; | ||
82 | char *pct = "%"; | ||
83 | char *quo = "\042"; | ||
84 | #if LDOUBLE | ||
85 | char *format64 = "%.20Le"; | ||
86 | char *fformat64 = "%Le"; | ||
87 | #endif | ||
88 | char *format; | ||
89 | char *fformat; | ||
90 | char *toomany = "Too many errors; aborting this test.\n"; | ||
91 | |||
92 | static int mnrflag; | ||
93 | static int etrflag; | ||
94 | void chkit(), printerr(), mnrand(), etrand(), shownoncrit(); | ||
95 | void chkid(), pvec(); | ||
96 | |||
97 | int | ||
98 | main() | ||
99 | { | ||
100 | int i, iprec, retval = 0; | ||
101 | |||
102 | printf( "Steve Moshier's printf/scanf tester, version 0.2.\n\n" ); | ||
103 | #ifdef DEC | ||
104 | /* DEC PDP-11/VAX single precision not yet implemented */ | ||
105 | for( iprec = 1; iprec<2; iprec++ ) | ||
106 | #else | ||
107 | for( iprec = 0; iprec<3; iprec++ ) | ||
108 | /*for( iprec = 2; iprec<3; iprec++ )*/ | ||
109 | #endif | ||
110 | { | ||
111 | errscan = 0; | ||
112 | identerr = 0; | ||
113 | errprint = 0; | ||
114 | eclear( rprint ); | ||
115 | eclear( rscan ); | ||
116 | |||
117 | switch( iprec ) | ||
118 | { | ||
119 | case 0: | ||
120 | SPREC = 8; /* # digits after the decimal point */ | ||
121 | mprec = 24; /* # bits in the significand */ | ||
122 | m = 9; /* max # decimal digits for correct rounding */ | ||
123 | n = 13; /* max power of ten for correct rounding */ | ||
124 | k2 = -125; /* underflow beyond 2^-k2 */ | ||
125 | format = format24; /* printf format string */ | ||
126 | fformat = fformat24; /* scanf format string */ | ||
127 | mnrflag = 1; /* sets interval for random numbers */ | ||
128 | etrflag = 1; | ||
129 | printf( "Testing FLOAT precision.\n" ); | ||
130 | break; | ||
131 | |||
132 | case 1: | ||
133 | #ifdef DEC | ||
134 | SPREC = 17; | ||
135 | mprec = 56; | ||
136 | m = 17; | ||
137 | n = 27; | ||
138 | k2 = -125; | ||
139 | format = format53; | ||
140 | fformat = fformat53; | ||
141 | mnrflag = 2; | ||
142 | etrflag = 1; | ||
143 | printf( "Testing DEC DOUBLE precision.\n" ); | ||
144 | break; | ||
145 | #else | ||
146 | SPREC = 16; | ||
147 | mprec = 53; | ||
148 | m = 17; | ||
149 | n = 27; | ||
150 | k2 = -1021; | ||
151 | format = format53; | ||
152 | fformat = fformat53; | ||
153 | mnrflag = 2; | ||
154 | etrflag = 2; | ||
155 | printf( "Testing DOUBLE precision.\n" ); | ||
156 | break; | ||
157 | #endif | ||
158 | case 2: | ||
159 | #if LDOUBLE | ||
160 | SPREC = 20; | ||
161 | mprec = 64; | ||
162 | m = 20; | ||
163 | n = 34; | ||
164 | k2 = -16382; | ||
165 | format = format64; | ||
166 | fformat = fformat64; | ||
167 | mnrflag = 3; | ||
168 | etrflag = 3; | ||
169 | printf( "Testing LONG DOUBLE precision.\n" ); | ||
170 | break; | ||
171 | #else | ||
172 | goto nodenorm; | ||
173 | #endif | ||
174 | } | ||
175 | |||
176 | asctoe( Ten, eten ); | ||
177 | /* 10^m - 1 */ | ||
178 | d2 = m; | ||
179 | e53toe( &d2, e1 ); | ||
180 | epow( eten, e1, maxm ); | ||
181 | esub( eone, maxm, maxm ); | ||
182 | |||
183 | /* test 1 */ | ||
184 | printf( "1. Checking 10^n - 1 for n = %d to %d.\n", -m, m ); | ||
185 | emov( eone, q5 ); | ||
186 | for( count=0; count<=m; count++ ) | ||
187 | { | ||
188 | esub( eone, q5, fullp ); | ||
189 | chkit( 1 ); | ||
190 | ediv( q5, eone, q2 ); | ||
191 | esub( eone, q2, fullp ); | ||
192 | chkit( 1 ); | ||
193 | emul( eten, q5, q5 ); | ||
194 | if( errtot >= MAXERR ) | ||
195 | { | ||
196 | printf( "%s", toomany ); | ||
197 | goto end1; | ||
198 | } | ||
199 | } | ||
200 | end1: | ||
201 | printerr(); | ||
202 | |||
203 | |||
204 | /* test 2 */ | ||
205 | printf( "2. Checking powers of 10 from 10^-%d to 10^%d.\n", n, n ); | ||
206 | emov( eone, q5 ); | ||
207 | for( count=0; count<=n; count++ ) | ||
208 | { | ||
209 | emov( q5, fullp ); | ||
210 | chkit( 2 ); | ||
211 | ediv( q5, eone, fullp ); | ||
212 | chkit( 2 ); | ||
213 | emul( eten, q5, q5 ); | ||
214 | if( errtot >= MAXERR ) | ||
215 | { | ||
216 | printf( "%s", toomany ); | ||
217 | goto end2; | ||
218 | } | ||
219 | } | ||
220 | end2: | ||
221 | printerr(); | ||
222 | |||
223 | /* test 3 */ | ||
224 | printf( "3. Checking (10^%d-1)*10^n from n = -%d to %d.\n", m, n, n ); | ||
225 | emov( eone, q5 ); | ||
226 | for( count= -n; count<=n; count++ ) | ||
227 | { | ||
228 | emul( maxm, q5, fullp ); | ||
229 | chkit( 3 ); | ||
230 | emov( q5, fullp ); | ||
231 | ediv( fullp, eone, fullp ); | ||
232 | emul( maxm, fullp, fullp ); | ||
233 | chkit( 3 ); | ||
234 | emul( eten, q5, q5 ); | ||
235 | if( errtot >= MAXERR ) | ||
236 | { | ||
237 | printf( "%s", toomany ); | ||
238 | goto end3; | ||
239 | } | ||
240 | } | ||
241 | end3: | ||
242 | printerr(); | ||
243 | |||
244 | |||
245 | |||
246 | /* test 4 */ | ||
247 | printf( "4. Checking powers of 2 from 2^-24 to 2^+56.\n" ); | ||
248 | d1 = -24.0; | ||
249 | e53toe( &d1, q1 ); | ||
250 | epow( etwo, q1, q5 ); | ||
251 | |||
252 | for( count = -24; count <= 56; count++ ) | ||
253 | { | ||
254 | emov( q5, fullp ); | ||
255 | chkit( 4 ); | ||
256 | emul( etwo, q5, q5 ); | ||
257 | if( errtot >= MAXERR ) | ||
258 | { | ||
259 | printf( "%s", toomany ); | ||
260 | goto end4; | ||
261 | } | ||
262 | } | ||
263 | end4: | ||
264 | printerr(); | ||
265 | |||
266 | |||
267 | /* test 5 */ | ||
268 | printf( "5. Checking 2^n - 1 for n = 0 to %d.\n", mprec ); | ||
269 | emov( eone, q5 ); | ||
270 | for( count=0; count<=mprec; count++ ) | ||
271 | { | ||
272 | esub( eone, q5, fullp ); | ||
273 | chkit( 5 ); | ||
274 | emul( etwo, q5, q5 ); | ||
275 | if( errtot >= MAXERR ) | ||
276 | { | ||
277 | printf( "%s", toomany ); | ||
278 | goto end5; | ||
279 | } | ||
280 | } | ||
281 | end5: | ||
282 | printerr(); | ||
283 | |||
284 | /* test 6 */ | ||
285 | printf( "6. Checking 2^n + 1 for n = 0 to %d.\n", mprec ); | ||
286 | emov( eone, q5 ); | ||
287 | for( count=0; count<=mprec; count++ ) | ||
288 | { | ||
289 | eadd( eone, q5, fullp ); | ||
290 | chkit( 6 ); | ||
291 | emul( etwo, q5, q5 ); | ||
292 | if( errtot >= MAXERR ) | ||
293 | { | ||
294 | printf( "%s", toomany ); | ||
295 | goto end6; | ||
296 | } | ||
297 | } | ||
298 | end6: | ||
299 | printerr(); | ||
300 | |||
301 | /* test 7 */ | ||
302 | printf( | ||
303 | "7. Checking %d values M * 10^N with random integer M and N,\n", | ||
304 | NRAND ); | ||
305 | printf(" 1 <= M <= 10^%d - 1 and -%d <= N <= +%d.\n", m, n, n ); | ||
306 | for( i=0; i<NRAND; i++ ) | ||
307 | { | ||
308 | mnrand( fullp ); | ||
309 | chkit( 7 ); | ||
310 | if( errtot >= MAXERR ) | ||
311 | { | ||
312 | printf( "%s", toomany ); | ||
313 | goto end7; | ||
314 | } | ||
315 | } | ||
316 | end7: | ||
317 | printerr(); | ||
318 | |||
319 | /* test 8 */ | ||
320 | printf("8. Checking critical rounding cases.\n" ); | ||
321 | for( i=0; i<20; i++ ) | ||
322 | { | ||
323 | mnrand( fullp ); | ||
324 | eabs( fullp ); | ||
325 | if( ecmp( fullp, eone ) < 0 ) | ||
326 | ediv( fullp, eone, fullp ); | ||
327 | efloor( fullp, fullp ); | ||
328 | eadd( ehalf, fullp, fullp ); | ||
329 | chkit( 8 ); | ||
330 | if( errtot >= MAXERR ) | ||
331 | { | ||
332 | printf( "%s", toomany ); | ||
333 | goto end8; | ||
334 | } | ||
335 | } | ||
336 | end8: | ||
337 | printerr(); | ||
338 | |||
339 | |||
340 | |||
341 | /* test 9 */ | ||
342 | printf("9. Testing on %d random non-denormal values.\n", NRAND ); | ||
343 | for( i=0; i<NRAND; i++ ) | ||
344 | { | ||
345 | etrand( fullp ); | ||
346 | chkit( 9 ); | ||
347 | } | ||
348 | printerr(); | ||
349 | shownoncrit(); | ||
350 | |||
351 | /* test 10 */ | ||
352 | #if 0 | ||
353 | printf( | ||
354 | "Do you want to check denormal numbers in this precision ? (y/n) " ); | ||
355 | gets( str0 ); | ||
356 | if( str0[0] != 'y' ) | ||
357 | goto nodenorm; | ||
358 | #endif | ||
359 | |||
360 | printf( "10. Checking denormal numbers.\n" ); | ||
361 | |||
362 | /* Form 2^-starting power */ | ||
363 | d1 = k2; | ||
364 | e53toe( &d1, q1 ); | ||
365 | epow( etwo, q1, e1 ); | ||
366 | |||
367 | /* Find 2^-mprec less than starting power */ | ||
368 | d1 = -mprec + 4; | ||
369 | e53toe( &d1, q1 ); | ||
370 | epow( etwo, q1, e3 ); | ||
371 | emul( e1, e3, e3 ); | ||
372 | emov( e3, e2 ); | ||
373 | ediv( etwo, e2, e2 ); | ||
374 | |||
375 | while( ecmp(e1,e2) != 0 ) | ||
376 | { | ||
377 | eadd( e1, e2, fullp ); | ||
378 | switch( mprec ) | ||
379 | { | ||
380 | #if LDOUBLE | ||
381 | case 64: | ||
382 | etoe64( e1, &sprec64 ); | ||
383 | e64toe( &sprec64, q1 ); | ||
384 | etoe64( fullp, &prec64 ); | ||
385 | e64toe( &prec64, q2 ); | ||
386 | break; | ||
387 | #endif | ||
388 | #ifdef DEC | ||
389 | case 56: | ||
390 | #endif | ||
391 | case 53: | ||
392 | etoe53( e1, &sprec53 ); | ||
393 | e53toe( &sprec53, q1 ); | ||
394 | etoe53( fullp, &prec53 ); | ||
395 | e53toe( &prec53, q2 ); | ||
396 | break; | ||
397 | |||
398 | case 24: | ||
399 | etoe24( e1, &sprec24 ); | ||
400 | e24toe( &sprec24, q1 ); | ||
401 | etoe24( fullp, &prec24 ); | ||
402 | e24toe( &prec24, q2 ); | ||
403 | break; | ||
404 | } | ||
405 | if( ecmp( q2, ezero ) == 0 ) | ||
406 | goto maxden; | ||
407 | chkit(10); | ||
408 | if( ecmp(q1,q2) == 0 ) | ||
409 | { | ||
410 | ediv( etwo, e1, e1 ); | ||
411 | emov( e3, e2 ); | ||
412 | } | ||
413 | if( errtot >= MAXERR ) | ||
414 | { | ||
415 | printf( "%s", toomany ); | ||
416 | goto maxden; | ||
417 | } | ||
418 | ediv( etwo, e2, e2 ); | ||
419 | } | ||
420 | maxden: | ||
421 | printerr(); | ||
422 | nodenorm: | ||
423 | printf( "\n" ); | ||
424 | retval |= errscan | identerr | errprint; | ||
425 | } /* loop on precision */ | ||
426 | printf( "End of test.\n" ); | ||
427 | return (retval); | ||
428 | } | ||
429 | |||
430 | #if CHKINTERNAL | ||
431 | long double xprec64; | ||
432 | double xprec53; | ||
433 | float xprec24; | ||
434 | |||
435 | /* Check binary -> printf -> scanf -> binary identity | ||
436 | * of internal routines | ||
437 | */ | ||
438 | void chkinternal( ref, tst, string ) | ||
439 | unsigned short ref[], tst[]; | ||
440 | char *string; | ||
441 | { | ||
442 | |||
443 | if( ecmp(ref,tst) != 0 ) | ||
444 | { | ||
445 | printf( "internal identity compare error!\n" ); | ||
446 | chkid( ref, tst, string ); | ||
447 | } | ||
448 | } | ||
449 | #endif | ||
450 | |||
451 | |||
452 | /* Check binary -> printf -> scanf -> binary identity | ||
453 | */ | ||
454 | void chkid( print, scan, string ) | ||
455 | unsigned short print[], scan[]; | ||
456 | char *string; | ||
457 | { | ||
458 | /* Test printf-scanf identity */ | ||
459 | if( ecmp( print, scan ) != 0 ) | ||
460 | { | ||
461 | pvec( print, NE ); | ||
462 | printf( " ->printf-> %s ->scanf->\n", string ); | ||
463 | pvec( scan, NE ); | ||
464 | printf( " is not an identity.\n" ); | ||
465 | ++identerr; | ||
466 | } | ||
467 | } | ||
468 | |||
469 | |||
470 | /* Check scanf result | ||
471 | */ | ||
472 | void chkscan( ref, tst, string ) | ||
473 | unsigned short ref[], tst[]; | ||
474 | char *string; | ||
475 | { | ||
476 | /* Test scanf() */ | ||
477 | if( ecmp( ref, tst ) != 0 ) | ||
478 | { | ||
479 | printf( "scanf(%s) -> ", string ); | ||
480 | pvec( tst, NE ); | ||
481 | printf( "\n should be " ); | ||
482 | pvec( ref, NE ); | ||
483 | printf( ".\n" ); | ||
484 | ++errscan; | ||
485 | ++errtot; | ||
486 | } | ||
487 | } | ||
488 | |||
489 | |||
490 | /* Test printf() result | ||
491 | */ | ||
492 | void chkprint( ref, tst, string ) | ||
493 | unsigned short ref[], tst[]; | ||
494 | char *string; | ||
495 | { | ||
496 | if( ecmp(ref, tst) != 0 ) | ||
497 | { | ||
498 | printf( "printf( "); | ||
499 | pvec( ref, NE ); | ||
500 | printf( ") -> %s\n", string ); | ||
501 | printf( " = " ); | ||
502 | pvec( tst, NE ); | ||
503 | printf( ".\n" ); | ||
504 | ++errprint; | ||
505 | ++errtot; | ||
506 | } | ||
507 | } | ||
508 | |||
509 | |||
510 | /* Print array of n 16-bit shorts | ||
511 | */ | ||
512 | void pvec( x, n ) | ||
513 | unsigned short x[]; | ||
514 | int n; | ||
515 | { | ||
516 | int i; | ||
517 | |||
518 | for( i=0; i<n; i++ ) | ||
519 | { | ||
520 | printf( "%04x ", x[i] ); | ||
521 | } | ||
522 | } | ||
523 | |||
524 | /* Measure worst case printf rounding error | ||
525 | */ | ||
526 | void cmpprint( ref, tst ) | ||
527 | unsigned short ref[], tst[]; | ||
528 | { | ||
529 | unsigned short e[NE]; | ||
530 | |||
531 | if( ecmp( ref, ezero ) != 0 ) | ||
532 | { | ||
533 | esub( ref, tst, e ); | ||
534 | ediv( ref, e, e ); | ||
535 | eabs( e ); | ||
536 | if( ecmp( e, rprint ) > 0 ) | ||
537 | emov( e, rprint ); | ||
538 | } | ||
539 | } | ||
540 | |||
541 | /* Measure worst case scanf rounding error | ||
542 | */ | ||
543 | void cmpscan( ref, tst ) | ||
544 | unsigned short ref[], tst[]; | ||
545 | { | ||
546 | unsigned short er[NE]; | ||
547 | |||
548 | if( ecmp( ref, ezero ) != 0 ) | ||
549 | { | ||
550 | esub( ref, tst, er ); | ||
551 | ediv( ref, er, er ); | ||
552 | eabs( er ); | ||
553 | if( ecmp( er, rscan ) > 0 ) | ||
554 | emov( er, rscan ); | ||
555 | if( ecmp( er, ehalf ) > 0 ) | ||
556 | { | ||
557 | etoasc( tst, str1, 21 ); | ||
558 | printf( "Bad error: scanf(%s) = %s !\n", str0, str1 ); | ||
559 | } | ||
560 | } | ||
561 | } | ||
562 | |||
563 | /* Check rounded-down decimal string output of printf | ||
564 | */ | ||
565 | void cmptrunc( ref, tst ) | ||
566 | unsigned short ref[], tst[]; | ||
567 | { | ||
568 | if( ecmp( ref, tst ) != 0 ) | ||
569 | { | ||
570 | printf( "printf(%s%s%s, %s) -> %s\n", quo, tformat, quo, str1, str2 ); | ||
571 | printf( "should be %s .\n", str3 ); | ||
572 | errprint += 1; | ||
573 | } | ||
574 | } | ||
575 | |||
576 | |||
577 | void shownoncrit() | ||
578 | { | ||
579 | |||
580 | etoasc( rprint, str0, 3 ); | ||
581 | printf( "Maximum relative printf error found = %s .\n", str0 ); | ||
582 | etoasc( rscan, str0, 3 ); | ||
583 | printf( "Maximum relative scanf error found = %s .\n", str0 ); | ||
584 | } | ||
585 | |||
586 | |||
587 | |||
588 | /* Produce arguments and call comparison subroutines. | ||
589 | */ | ||
590 | void chkit( testno ) | ||
591 | int testno; | ||
592 | { | ||
593 | unsigned short t[NE], u[NE], v[NE]; | ||
594 | int j; | ||
595 | |||
596 | switch( mprec ) | ||
597 | { | ||
598 | #if LDOUBLE | ||
599 | case 64: | ||
600 | etoe64( fullp, &prec64 ); | ||
601 | e64toe( &prec64, rounded ); | ||
602 | #if CHKINTERNAL | ||
603 | e64toasc( &prec64, str1, SPREC ); | ||
604 | asctoe64( str1, &xprec64 ); | ||
605 | e64toe( &xprec64, t ); | ||
606 | chkinternal( rounded, t, str1 ); | ||
607 | #endif | ||
608 | /* check printf and scanf */ | ||
609 | sprintf( str2, format, prec64 ); | ||
610 | sscanf( str2, fformat, &sprec64 ); | ||
611 | e64toe( &sprec64, u ); | ||
612 | chkid( rounded, u, str2 ); | ||
613 | asctoe64( str2, &ssprec64 ); | ||
614 | e64toe( &ssprec64, v ); | ||
615 | chkscan( v, u, str2 ); | ||
616 | chkprint( rounded, v, str2 ); | ||
617 | if( testno < 8 ) | ||
618 | break; | ||
619 | /* rounding error measurement */ | ||
620 | etoasc( fullp, str0, 24 ); | ||
621 | etoe64( fullp, &ssprec64 ); | ||
622 | e64toe( &ssprec64, u ); | ||
623 | sprintf( str2, format, ssprec64 ); | ||
624 | asctoe( str2, t ); | ||
625 | cmpprint( u, t ); | ||
626 | sscanf( str0, fformat, &sprec64 ); | ||
627 | e64toe( &sprec64, t ); | ||
628 | cmpscan( fullp, t ); | ||
629 | if( testno < 8 ) | ||
630 | break; | ||
631 | /* strings rounded to less than maximum precision */ | ||
632 | e64toasc( &ssprec64, str1, 24 ); | ||
633 | for( j=SPREC-1; j>0; j-- ) | ||
634 | { | ||
635 | e64toasc( &ssprec64, str3, j ); | ||
636 | asctoe( str3, v ); | ||
637 | sprintf( tformat, "%s.%dLe", pct, j ); | ||
638 | sprintf( str2, tformat, ssprec64 ); | ||
639 | asctoe( str2, t ); | ||
640 | cmptrunc( v, t ); | ||
641 | } | ||
642 | break; | ||
643 | #endif | ||
644 | #ifdef DEC | ||
645 | case 56: | ||
646 | #endif | ||
647 | case 53: | ||
648 | etoe53( fullp, &prec53 ); | ||
649 | e53toe( &prec53, rounded ); | ||
650 | #if CHKINTERNAL | ||
651 | e53toasc( &prec53, str1, SPREC ); | ||
652 | asctoe53( str1, &xprec53 ); | ||
653 | e53toe( &xprec53, t ); | ||
654 | chkinternal( rounded, t, str1 ); | ||
655 | #endif | ||
656 | sprintf( str2, format, prec53 ); | ||
657 | sscanf( str2, fformat, &sprec53 ); | ||
658 | e53toe( &sprec53, u ); | ||
659 | chkid( rounded, u, str2 ); | ||
660 | asctoe53( str2, &ssprec53 ); | ||
661 | e53toe( &ssprec53, v ); | ||
662 | chkscan( v, u, str2 ); | ||
663 | chkprint( rounded, v, str2 ); | ||
664 | if( testno < 8 ) | ||
665 | break; | ||
666 | /* rounding error measurement */ | ||
667 | etoasc( fullp, str0, 24 ); | ||
668 | etoe53( fullp, &ssprec53 ); | ||
669 | e53toe( &ssprec53, u ); | ||
670 | sprintf( str2, format, ssprec53 ); | ||
671 | asctoe( str2, t ); | ||
672 | cmpprint( u, t ); | ||
673 | sscanf( str0, fformat, &sprec53 ); | ||
674 | e53toe( &sprec53, t ); | ||
675 | cmpscan( fullp, t ); | ||
676 | if( testno < 8 ) | ||
677 | break; | ||
678 | e53toasc( &ssprec53, str1, 24 ); | ||
679 | for( j=SPREC-1; j>0; j-- ) | ||
680 | { | ||
681 | e53toasc( &ssprec53, str3, j ); | ||
682 | asctoe( str3, v ); | ||
683 | sprintf( tformat, "%s.%de", pct, j ); | ||
684 | sprintf( str2, tformat, ssprec53 ); | ||
685 | asctoe( str2, t ); | ||
686 | cmptrunc( v, t ); | ||
687 | } | ||
688 | break; | ||
689 | |||
690 | case 24: | ||
691 | etoe24( fullp, &prec24 ); | ||
692 | e24toe( &prec24, rounded ); | ||
693 | #if CHKINTERNAL | ||
694 | e24toasc( &prec24, str1, SPREC ); | ||
695 | asctoe24( str1, &xprec24 ); | ||
696 | e24toe( &xprec24, t ); | ||
697 | chkinternal( rounded, t, str1 ); | ||
698 | #endif | ||
699 | sprintf( str2, format, prec24 ); | ||
700 | sscanf( str2, fformat, &sprec24 ); | ||
701 | e24toe( &sprec24, u ); | ||
702 | chkid( rounded, u, str2 ); | ||
703 | asctoe24( str2, &ssprec24 ); | ||
704 | e24toe( &ssprec24, v ); | ||
705 | chkscan( v, u, str2 ); | ||
706 | chkprint( rounded, v, str2 ); | ||
707 | if( testno < 8 ) | ||
708 | break; | ||
709 | /* rounding error measurement */ | ||
710 | etoasc( fullp, str0, 24 ); | ||
711 | etoe24( fullp, &ssprec24 ); | ||
712 | e24toe( &ssprec24, u ); | ||
713 | sprintf( str2, format, ssprec24 ); | ||
714 | asctoe( str2, t ); | ||
715 | cmpprint( u, t ); | ||
716 | sscanf( str0, fformat, &sprec24 ); | ||
717 | e24toe( &sprec24, t ); | ||
718 | cmpscan( fullp, t ); | ||
719 | /* | ||
720 | if( testno < 8 ) | ||
721 | break; | ||
722 | */ | ||
723 | e24toasc( &ssprec24, str1, 24 ); | ||
724 | for( j=SPREC-1; j>0; j-- ) | ||
725 | { | ||
726 | e24toasc( &ssprec24, str3, j ); | ||
727 | asctoe( str3, v ); | ||
728 | sprintf( tformat, "%s.%de", pct, j ); | ||
729 | sprintf( str2, tformat, ssprec24 ); | ||
730 | asctoe( str2, t ); | ||
731 | cmptrunc( v, t ); | ||
732 | } | ||
733 | break; | ||
734 | } | ||
735 | } | ||
736 | |||
737 | |||
738 | void printerr() | ||
739 | { | ||
740 | if( (errscan == 0) && (identerr == 0) && (errprint == 0) ) | ||
741 | printf( "No errors found.\n" ); | ||
742 | else | ||
743 | { | ||
744 | printf( "%d binary -> decimal errors found.\n", errprint ); | ||
745 | printf( "%d decimal -> binary errors found.\n", errscan ); | ||
746 | } | ||
747 | errscan = 0; /* reset for next test */ | ||
748 | identerr = 0; | ||
749 | errprint = 0; | ||
750 | errtot = 0; | ||
751 | } | ||
752 | |||
753 | |||
754 | /* Random number generator | ||
755 | * in the range M * 10^N, where 1 <= M <= 10^17 - 1 | ||
756 | * and -27 <= N <= +27. Test values of M are logarithmically distributed | ||
757 | * random integers; test values of N are uniformly distributed random integers. | ||
758 | */ | ||
759 | |||
760 | static char *fwidth = "1.036163291797320557783096e1"; /* log(sqrt(10^9-1)) */ | ||
761 | static char *dwidth = "1.957197329044938830915E1"; /* log(sqrt(10^17-1)) */ | ||
762 | static char *ldwidth = "2.302585092994045684017491e1"; /* log(sqrt(10^20-1)) */ | ||
763 | |||
764 | static char *a13 = "13.0"; | ||
765 | static char *a27 = "27.0"; | ||
766 | static char *a34 = "34.0"; | ||
767 | static char *a10m13 = "1.0e-13"; | ||
768 | static unsigned short LOW[ NE ], WIDTH[NE], e27[NE], e10m13[NE]; | ||
769 | |||
770 | |||
771 | void mnrand( erand ) | ||
772 | unsigned short erand[]; | ||
773 | { | ||
774 | unsigned short ea[NE], em[NE], en[NE], ex[NE]; | ||
775 | double x, a; | ||
776 | |||
777 | if( mnrflag ) | ||
778 | { | ||
779 | if( mnrflag == 3 ) | ||
780 | { | ||
781 | asctoe( ldwidth, WIDTH ); | ||
782 | asctoe( a34, e27 ); | ||
783 | } | ||
784 | if( mnrflag == 2 ) | ||
785 | { | ||
786 | asctoe( dwidth, WIDTH ); | ||
787 | asctoe( a27, e27 ); | ||
788 | } | ||
789 | if( mnrflag == 1 ) | ||
790 | { | ||
791 | asctoe( fwidth, WIDTH ); | ||
792 | asctoe( a13, e27 ); | ||
793 | } | ||
794 | asctoe( a10m13, e10m13 ); | ||
795 | mnrflag = 0; | ||
796 | } | ||
797 | drand( &x ); | ||
798 | e53toe( &x, ex ); /* x = WIDTH * ( x - 1.0 ) + LOW; */ | ||
799 | esub( eone, ex, ex ); | ||
800 | emul( WIDTH, ex, ex ); | ||
801 | eexp( ex, ex ); /* x = exp(x); */ | ||
802 | |||
803 | drand( &a ); | ||
804 | e53toe( &a, ea ); | ||
805 | emul( ea, ex, ea ); /* a = 1.0e-13 * x * a; */ | ||
806 | emul( e10m13, ea, ea ); | ||
807 | eabs( ea ); | ||
808 | eadd( ea, ex, ex ); /* add fuzz */ | ||
809 | emul( ex, ex, ex ); /* square it, to get range to 10^17 - 1 */ | ||
810 | efloor( ex, em ); /* this is M */ | ||
811 | |||
812 | /* Random power of 10 */ | ||
813 | drand( &a ); | ||
814 | e53toe( &a, ex ); | ||
815 | esub( eone, ex, ex ); /* y3 = 54.0 * ( y3 - 1.0 ) + 0.5; */ | ||
816 | emul( e27, ex, ex ); | ||
817 | eadd( ex, ex, ex ); | ||
818 | eadd( ehalf, ex, ex ); | ||
819 | efloor( ex, ex ); /* y3 = floor( y3 ) - 27.0; */ | ||
820 | esub( e27, ex, en ); /* this is N */ | ||
821 | epow( eten, en, ex ); | ||
822 | emul( ex, em, erand ); | ||
823 | } | ||
824 | |||
825 | /* -ln 2^16382 */ | ||
826 | char *ldemin = "-1.1355137111933024058873097E4"; | ||
827 | char *ldewid = "2.2710274223866048117746193E4"; | ||
828 | /* -ln 2^1022 */ | ||
829 | char *demin = "-7.0839641853226410622441123E2"; | ||
830 | char *dewid = "1.4167928370645282124488225E3"; | ||
831 | /* -ln 2^125 */ | ||
832 | char *femin = "-8.6643397569993163677154015E1"; | ||
833 | char *fewid = "1.7328679513998632735430803E2"; | ||
834 | |||
835 | void etrand( erand ) | ||
836 | unsigned short erand[]; | ||
837 | { | ||
838 | unsigned short ea[NE], ex[NE]; | ||
839 | double x, a; | ||
840 | |||
841 | if( etrflag ) | ||
842 | { | ||
843 | if( etrflag == 3 ) | ||
844 | { | ||
845 | asctoe( ldemin, LOW ); | ||
846 | asctoe( ldewid, WIDTH ); | ||
847 | asctoe( a34, e27 ); | ||
848 | } | ||
849 | if( etrflag == 2 ) | ||
850 | { | ||
851 | asctoe( demin, LOW ); | ||
852 | asctoe( dewid, WIDTH ); | ||
853 | asctoe( a27, e27 ); | ||
854 | } | ||
855 | if( etrflag == 1 ) | ||
856 | { | ||
857 | asctoe( femin, LOW ); | ||
858 | asctoe( fewid, WIDTH ); | ||
859 | asctoe( a13, e27 ); | ||
860 | } | ||
861 | asctoe( a10m13, e10m13 ); | ||
862 | etrflag = 0; | ||
863 | } | ||
864 | drand( &x ); | ||
865 | e53toe( &x, ex ); /* x = WIDTH * ( x - 1.0 ) + LOW; */ | ||
866 | esub( eone, ex, ex ); | ||
867 | emul( WIDTH, ex, ex ); | ||
868 | eadd( LOW, ex, ex ); | ||
869 | eexp( ex, ex ); /* x = exp(x); */ | ||
870 | |||
871 | /* add fuzz | ||
872 | */ | ||
873 | drand( &a ); | ||
874 | e53toe( &a, ea ); | ||
875 | emul( ea, ex, ea ); /* a = 1.0e-13 * x * a; */ | ||
876 | emul( e10m13, ea, ea ); | ||
877 | if( ecmp( ex, ezero ) > 0 ) | ||
878 | eneg( ea ); | ||
879 | eadd( ea, ex, erand ); | ||
880 | } | ||
881 | |||