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author | cvs2svn <admin@example.com> | 2012-07-13 17:49:56 +0000 |
---|---|---|
committer | cvs2svn <admin@example.com> | 2012-07-13 17:49:56 +0000 |
commit | 6f82d0e8f9756938f04071892206a5af85e676f0 (patch) | |
tree | 821921a1dd0a5a3cece91121e121cc63c4b68128 /src/regress/lib/libc/cephes/ieetst.c | |
parent | 9204e59073bcf27e1487ec4ac46e981902ddd904 (diff) | |
download | openbsd-eric_g2k12.tar.gz openbsd-eric_g2k12.tar.bz2 openbsd-eric_g2k12.zip |
This commit was manufactured by cvs2git to create tag 'eric_g2k12'.eric_g2k12
Diffstat (limited to 'src/regress/lib/libc/cephes/ieetst.c')
-rw-r--r-- | src/regress/lib/libc/cephes/ieetst.c | 880 |
1 files changed, 0 insertions, 880 deletions
diff --git a/src/regress/lib/libc/cephes/ieetst.c b/src/regress/lib/libc/cephes/ieetst.c deleted file mode 100644 index 41dfd6a96e..0000000000 --- a/src/regress/lib/libc/cephes/ieetst.c +++ /dev/null | |||
@@ -1,880 +0,0 @@ | |||
1 | /* $OpenBSD: ieetst.c,v 1.2 2011/07/03 13:39:07 martynas 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 | main() | ||
98 | { | ||
99 | int i, iprec, retval = 0; | ||
100 | |||
101 | printf( "Steve Moshier's printf/scanf tester, version 0.2.\n\n" ); | ||
102 | #ifdef DEC | ||
103 | /* DEC PDP-11/VAX single precision not yet implemented */ | ||
104 | for( iprec = 1; iprec<2; iprec++ ) | ||
105 | #else | ||
106 | for( iprec = 0; iprec<3; iprec++ ) | ||
107 | /*for( iprec = 2; iprec<3; iprec++ )*/ | ||
108 | #endif | ||
109 | { | ||
110 | errscan = 0; | ||
111 | identerr = 0; | ||
112 | errprint = 0; | ||
113 | eclear( rprint ); | ||
114 | eclear( rscan ); | ||
115 | |||
116 | switch( iprec ) | ||
117 | { | ||
118 | case 0: | ||
119 | SPREC = 8; /* # digits after the decimal point */ | ||
120 | mprec = 24; /* # bits in the significand */ | ||
121 | m = 9; /* max # decimal digits for correct rounding */ | ||
122 | n = 13; /* max power of ten for correct rounding */ | ||
123 | k2 = -125; /* underflow beyond 2^-k2 */ | ||
124 | format = format24; /* printf format string */ | ||
125 | fformat = fformat24; /* scanf format string */ | ||
126 | mnrflag = 1; /* sets interval for random numbers */ | ||
127 | etrflag = 1; | ||
128 | printf( "Testing FLOAT precision.\n" ); | ||
129 | break; | ||
130 | |||
131 | case 1: | ||
132 | #ifdef DEC | ||
133 | SPREC = 17; | ||
134 | mprec = 56; | ||
135 | m = 17; | ||
136 | n = 27; | ||
137 | k2 = -125; | ||
138 | format = format53; | ||
139 | fformat = fformat53; | ||
140 | mnrflag = 2; | ||
141 | etrflag = 1; | ||
142 | printf( "Testing DEC DOUBLE precision.\n" ); | ||
143 | break; | ||
144 | #else | ||
145 | SPREC = 16; | ||
146 | mprec = 53; | ||
147 | m = 17; | ||
148 | n = 27; | ||
149 | k2 = -1021; | ||
150 | format = format53; | ||
151 | fformat = fformat53; | ||
152 | mnrflag = 2; | ||
153 | etrflag = 2; | ||
154 | printf( "Testing DOUBLE precision.\n" ); | ||
155 | break; | ||
156 | #endif | ||
157 | case 2: | ||
158 | #if LDOUBLE | ||
159 | SPREC = 20; | ||
160 | mprec = 64; | ||
161 | m = 20; | ||
162 | n = 34; | ||
163 | k2 = -16382; | ||
164 | format = format64; | ||
165 | fformat = fformat64; | ||
166 | mnrflag = 3; | ||
167 | etrflag = 3; | ||
168 | printf( "Testing LONG DOUBLE precision.\n" ); | ||
169 | break; | ||
170 | #else | ||
171 | goto nodenorm; | ||
172 | #endif | ||
173 | } | ||
174 | |||
175 | asctoe( Ten, eten ); | ||
176 | /* 10^m - 1 */ | ||
177 | d2 = m; | ||
178 | e53toe( &d2, e1 ); | ||
179 | epow( eten, e1, maxm ); | ||
180 | esub( eone, maxm, maxm ); | ||
181 | |||
182 | /* test 1 */ | ||
183 | printf( "1. Checking 10^n - 1 for n = %d to %d.\n", -m, m ); | ||
184 | emov( eone, q5 ); | ||
185 | for( count=0; count<=m; count++ ) | ||
186 | { | ||
187 | esub( eone, q5, fullp ); | ||
188 | chkit( 1 ); | ||
189 | ediv( q5, eone, q2 ); | ||
190 | esub( eone, q2, fullp ); | ||
191 | chkit( 1 ); | ||
192 | emul( eten, q5, q5 ); | ||
193 | if( errtot >= MAXERR ) | ||
194 | { | ||
195 | printf( "%s", toomany ); | ||
196 | goto end1; | ||
197 | } | ||
198 | } | ||
199 | end1: | ||
200 | printerr(); | ||
201 | |||
202 | |||
203 | /* test 2 */ | ||
204 | printf( "2. Checking powers of 10 from 10^-%d to 10^%d.\n", n, n ); | ||
205 | emov( eone, q5 ); | ||
206 | for( count=0; count<=n; count++ ) | ||
207 | { | ||
208 | emov( q5, fullp ); | ||
209 | chkit( 2 ); | ||
210 | ediv( q5, eone, fullp ); | ||
211 | chkit( 2 ); | ||
212 | emul( eten, q5, q5 ); | ||
213 | if( errtot >= MAXERR ) | ||
214 | { | ||
215 | printf( "%s", toomany ); | ||
216 | goto end2; | ||
217 | } | ||
218 | } | ||
219 | end2: | ||
220 | printerr(); | ||
221 | |||
222 | /* test 3 */ | ||
223 | printf( "3. Checking (10^%d-1)*10^n from n = -%d to %d.\n", m, n, n ); | ||
224 | emov( eone, q5 ); | ||
225 | for( count= -n; count<=n; count++ ) | ||
226 | { | ||
227 | emul( maxm, q5, fullp ); | ||
228 | chkit( 3 ); | ||
229 | emov( q5, fullp ); | ||
230 | ediv( fullp, eone, fullp ); | ||
231 | emul( maxm, fullp, fullp ); | ||
232 | chkit( 3 ); | ||
233 | emul( eten, q5, q5 ); | ||
234 | if( errtot >= MAXERR ) | ||
235 | { | ||
236 | printf( "%s", toomany ); | ||
237 | goto end3; | ||
238 | } | ||
239 | } | ||
240 | end3: | ||
241 | printerr(); | ||
242 | |||
243 | |||
244 | |||
245 | /* test 4 */ | ||
246 | printf( "4. Checking powers of 2 from 2^-24 to 2^+56.\n" ); | ||
247 | d1 = -24.0; | ||
248 | e53toe( &d1, q1 ); | ||
249 | epow( etwo, q1, q5 ); | ||
250 | |||
251 | for( count = -24; count <= 56; count++ ) | ||
252 | { | ||
253 | emov( q5, fullp ); | ||
254 | chkit( 4 ); | ||
255 | emul( etwo, q5, q5 ); | ||
256 | if( errtot >= MAXERR ) | ||
257 | { | ||
258 | printf( "%s", toomany ); | ||
259 | goto end4; | ||
260 | } | ||
261 | } | ||
262 | end4: | ||
263 | printerr(); | ||
264 | |||
265 | |||
266 | /* test 5 */ | ||
267 | printf( "5. Checking 2^n - 1 for n = 0 to %d.\n", mprec ); | ||
268 | emov( eone, q5 ); | ||
269 | for( count=0; count<=mprec; count++ ) | ||
270 | { | ||
271 | esub( eone, q5, fullp ); | ||
272 | chkit( 5 ); | ||
273 | emul( etwo, q5, q5 ); | ||
274 | if( errtot >= MAXERR ) | ||
275 | { | ||
276 | printf( "%s", toomany ); | ||
277 | goto end5; | ||
278 | } | ||
279 | } | ||
280 | end5: | ||
281 | printerr(); | ||
282 | |||
283 | /* test 6 */ | ||
284 | printf( "6. Checking 2^n + 1 for n = 0 to %d.\n", mprec ); | ||
285 | emov( eone, q5 ); | ||
286 | for( count=0; count<=mprec; count++ ) | ||
287 | { | ||
288 | eadd( eone, q5, fullp ); | ||
289 | chkit( 6 ); | ||
290 | emul( etwo, q5, q5 ); | ||
291 | if( errtot >= MAXERR ) | ||
292 | { | ||
293 | printf( "%s", toomany ); | ||
294 | goto end6; | ||
295 | } | ||
296 | } | ||
297 | end6: | ||
298 | printerr(); | ||
299 | |||
300 | /* test 7 */ | ||
301 | printf( | ||
302 | "7. Checking %d values M * 10^N with random integer M and N,\n", | ||
303 | NRAND ); | ||
304 | printf(" 1 <= M <= 10^%d - 1 and -%d <= N <= +%d.\n", m, n, n ); | ||
305 | for( i=0; i<NRAND; i++ ) | ||
306 | { | ||
307 | mnrand( fullp ); | ||
308 | chkit( 7 ); | ||
309 | if( errtot >= MAXERR ) | ||
310 | { | ||
311 | printf( "%s", toomany ); | ||
312 | goto end7; | ||
313 | } | ||
314 | } | ||
315 | end7: | ||
316 | printerr(); | ||
317 | |||
318 | /* test 8 */ | ||
319 | printf("8. Checking critical rounding cases.\n" ); | ||
320 | for( i=0; i<20; i++ ) | ||
321 | { | ||
322 | mnrand( fullp ); | ||
323 | eabs( fullp ); | ||
324 | if( ecmp( fullp, eone ) < 0 ) | ||
325 | ediv( fullp, eone, fullp ); | ||
326 | efloor( fullp, fullp ); | ||
327 | eadd( ehalf, fullp, fullp ); | ||
328 | chkit( 8 ); | ||
329 | if( errtot >= MAXERR ) | ||
330 | { | ||
331 | printf( "%s", toomany ); | ||
332 | goto end8; | ||
333 | } | ||
334 | } | ||
335 | end8: | ||
336 | printerr(); | ||
337 | |||
338 | |||
339 | |||
340 | /* test 9 */ | ||
341 | printf("9. Testing on %d random non-denormal values.\n", NRAND ); | ||
342 | for( i=0; i<NRAND; i++ ) | ||
343 | { | ||
344 | etrand( fullp ); | ||
345 | chkit( 9 ); | ||
346 | } | ||
347 | printerr(); | ||
348 | shownoncrit(); | ||
349 | |||
350 | /* test 10 */ | ||
351 | #if 0 | ||
352 | printf( | ||
353 | "Do you want to check denormal numbers in this precision ? (y/n) " ); | ||
354 | gets( str0 ); | ||
355 | if( str0[0] != 'y' ) | ||
356 | goto nodenorm; | ||
357 | #endif | ||
358 | |||
359 | printf( "10. Checking denormal numbers.\n" ); | ||
360 | |||
361 | /* Form 2^-starting power */ | ||
362 | d1 = k2; | ||
363 | e53toe( &d1, q1 ); | ||
364 | epow( etwo, q1, e1 ); | ||
365 | |||
366 | /* Find 2^-mprec less than starting power */ | ||
367 | d1 = -mprec + 4; | ||
368 | e53toe( &d1, q1 ); | ||
369 | epow( etwo, q1, e3 ); | ||
370 | emul( e1, e3, e3 ); | ||
371 | emov( e3, e2 ); | ||
372 | ediv( etwo, e2, e2 ); | ||
373 | |||
374 | while( ecmp(e1,e2) != 0 ) | ||
375 | { | ||
376 | eadd( e1, e2, fullp ); | ||
377 | switch( mprec ) | ||
378 | { | ||
379 | #if LDOUBLE | ||
380 | case 64: | ||
381 | etoe64( e1, &sprec64 ); | ||
382 | e64toe( &sprec64, q1 ); | ||
383 | etoe64( fullp, &prec64 ); | ||
384 | e64toe( &prec64, q2 ); | ||
385 | break; | ||
386 | #endif | ||
387 | #ifdef DEC | ||
388 | case 56: | ||
389 | #endif | ||
390 | case 53: | ||
391 | etoe53( e1, &sprec53 ); | ||
392 | e53toe( &sprec53, q1 ); | ||
393 | etoe53( fullp, &prec53 ); | ||
394 | e53toe( &prec53, q2 ); | ||
395 | break; | ||
396 | |||
397 | case 24: | ||
398 | etoe24( e1, &sprec24 ); | ||
399 | e24toe( &sprec24, q1 ); | ||
400 | etoe24( fullp, &prec24 ); | ||
401 | e24toe( &prec24, q2 ); | ||
402 | break; | ||
403 | } | ||
404 | if( ecmp( q2, ezero ) == 0 ) | ||
405 | goto maxden; | ||
406 | chkit(10); | ||
407 | if( ecmp(q1,q2) == 0 ) | ||
408 | { | ||
409 | ediv( etwo, e1, e1 ); | ||
410 | emov( e3, e2 ); | ||
411 | } | ||
412 | if( errtot >= MAXERR ) | ||
413 | { | ||
414 | printf( "%s", toomany ); | ||
415 | goto maxden; | ||
416 | } | ||
417 | ediv( etwo, e2, e2 ); | ||
418 | } | ||
419 | maxden: | ||
420 | printerr(); | ||
421 | nodenorm: | ||
422 | printf( "\n" ); | ||
423 | retval |= errscan | identerr | errprint; | ||
424 | } /* loop on precision */ | ||
425 | printf( "End of test.\n" ); | ||
426 | return (retval); | ||
427 | } | ||
428 | |||
429 | #if CHKINTERNAL | ||
430 | long double xprec64; | ||
431 | double xprec53; | ||
432 | float xprec24; | ||
433 | |||
434 | /* Check binary -> printf -> scanf -> binary identity | ||
435 | * of internal routines | ||
436 | */ | ||
437 | void chkinternal( ref, tst, string ) | ||
438 | unsigned short ref[], tst[]; | ||
439 | char *string; | ||
440 | { | ||
441 | |||
442 | if( ecmp(ref,tst) != 0 ) | ||
443 | { | ||
444 | printf( "internal identity compare error!\n" ); | ||
445 | chkid( ref, tst, string ); | ||
446 | } | ||
447 | } | ||
448 | #endif | ||
449 | |||
450 | |||
451 | /* Check binary -> printf -> scanf -> binary identity | ||
452 | */ | ||
453 | void chkid( print, scan, string ) | ||
454 | unsigned short print[], scan[]; | ||
455 | char *string; | ||
456 | { | ||
457 | /* Test printf-scanf identity */ | ||
458 | if( ecmp( print, scan ) != 0 ) | ||
459 | { | ||
460 | pvec( print, NE ); | ||
461 | printf( " ->printf-> %s ->scanf->\n", string ); | ||
462 | pvec( scan, NE ); | ||
463 | printf( " is not an identity.\n" ); | ||
464 | ++identerr; | ||
465 | } | ||
466 | } | ||
467 | |||
468 | |||
469 | /* Check scanf result | ||
470 | */ | ||
471 | void chkscan( ref, tst, string ) | ||
472 | unsigned short ref[], tst[]; | ||
473 | char *string; | ||
474 | { | ||
475 | /* Test scanf() */ | ||
476 | if( ecmp( ref, tst ) != 0 ) | ||
477 | { | ||
478 | printf( "scanf(%s) -> ", string ); | ||
479 | pvec( tst, NE ); | ||
480 | printf( "\n should be " ); | ||
481 | pvec( ref, NE ); | ||
482 | printf( ".\n" ); | ||
483 | ++errscan; | ||
484 | ++errtot; | ||
485 | } | ||
486 | } | ||
487 | |||
488 | |||
489 | /* Test printf() result | ||
490 | */ | ||
491 | void chkprint( ref, tst, string ) | ||
492 | unsigned short ref[], tst[]; | ||
493 | char *string; | ||
494 | { | ||
495 | if( ecmp(ref, tst) != 0 ) | ||
496 | { | ||
497 | printf( "printf( "); | ||
498 | pvec( ref, NE ); | ||
499 | printf( ") -> %s\n", string ); | ||
500 | printf( " = " ); | ||
501 | pvec( tst, NE ); | ||
502 | printf( ".\n" ); | ||
503 | ++errprint; | ||
504 | ++errtot; | ||
505 | } | ||
506 | } | ||
507 | |||
508 | |||
509 | /* Print array of n 16-bit shorts | ||
510 | */ | ||
511 | void pvec( x, n ) | ||
512 | unsigned short x[]; | ||
513 | int n; | ||
514 | { | ||
515 | int i; | ||
516 | |||
517 | for( i=0; i<n; i++ ) | ||
518 | { | ||
519 | printf( "%04x ", x[i] ); | ||
520 | } | ||
521 | } | ||
522 | |||
523 | /* Measure worst case printf rounding error | ||
524 | */ | ||
525 | void cmpprint( ref, tst ) | ||
526 | unsigned short ref[], tst[]; | ||
527 | { | ||
528 | unsigned short e[NE]; | ||
529 | |||
530 | if( ecmp( ref, ezero ) != 0 ) | ||
531 | { | ||
532 | esub( ref, tst, e ); | ||
533 | ediv( ref, e, e ); | ||
534 | eabs( e ); | ||
535 | if( ecmp( e, rprint ) > 0 ) | ||
536 | emov( e, rprint ); | ||
537 | } | ||
538 | } | ||
539 | |||
540 | /* Measure worst case scanf rounding error | ||
541 | */ | ||
542 | void cmpscan( ref, tst ) | ||
543 | unsigned short ref[], tst[]; | ||
544 | { | ||
545 | unsigned short er[NE]; | ||
546 | |||
547 | if( ecmp( ref, ezero ) != 0 ) | ||
548 | { | ||
549 | esub( ref, tst, er ); | ||
550 | ediv( ref, er, er ); | ||
551 | eabs( er ); | ||
552 | if( ecmp( er, rscan ) > 0 ) | ||
553 | emov( er, rscan ); | ||
554 | if( ecmp( er, ehalf ) > 0 ) | ||
555 | { | ||
556 | etoasc( tst, str1, 21 ); | ||
557 | printf( "Bad error: scanf(%s) = %s !\n", str0, str1 ); | ||
558 | } | ||
559 | } | ||
560 | } | ||
561 | |||
562 | /* Check rounded-down decimal string output of printf | ||
563 | */ | ||
564 | void cmptrunc( ref, tst ) | ||
565 | unsigned short ref[], tst[]; | ||
566 | { | ||
567 | if( ecmp( ref, tst ) != 0 ) | ||
568 | { | ||
569 | printf( "printf(%s%s%s, %s) -> %s\n", quo, tformat, quo, str1, str2 ); | ||
570 | printf( "should be %s .\n", str3 ); | ||
571 | errprint += 1; | ||
572 | } | ||
573 | } | ||
574 | |||
575 | |||
576 | void shownoncrit() | ||
577 | { | ||
578 | |||
579 | etoasc( rprint, str0, 3 ); | ||
580 | printf( "Maximum relative printf error found = %s .\n", str0 ); | ||
581 | etoasc( rscan, str0, 3 ); | ||
582 | printf( "Maximum relative scanf error found = %s .\n", str0 ); | ||
583 | } | ||
584 | |||
585 | |||
586 | |||
587 | /* Produce arguments and call comparison subroutines. | ||
588 | */ | ||
589 | void chkit( testno ) | ||
590 | int testno; | ||
591 | { | ||
592 | unsigned short t[NE], u[NE], v[NE]; | ||
593 | int j; | ||
594 | |||
595 | switch( mprec ) | ||
596 | { | ||
597 | #if LDOUBLE | ||
598 | case 64: | ||
599 | etoe64( fullp, &prec64 ); | ||
600 | e64toe( &prec64, rounded ); | ||
601 | #if CHKINTERNAL | ||
602 | e64toasc( &prec64, str1, SPREC ); | ||
603 | asctoe64( str1, &xprec64 ); | ||
604 | e64toe( &xprec64, t ); | ||
605 | chkinternal( rounded, t, str1 ); | ||
606 | #endif | ||
607 | /* check printf and scanf */ | ||
608 | sprintf( str2, format, prec64 ); | ||
609 | sscanf( str2, fformat, &sprec64 ); | ||
610 | e64toe( &sprec64, u ); | ||
611 | chkid( rounded, u, str2 ); | ||
612 | asctoe64( str2, &ssprec64 ); | ||
613 | e64toe( &ssprec64, v ); | ||
614 | chkscan( v, u, str2 ); | ||
615 | chkprint( rounded, v, str2 ); | ||
616 | if( testno < 8 ) | ||
617 | break; | ||
618 | /* rounding error measurement */ | ||
619 | etoasc( fullp, str0, 24 ); | ||
620 | etoe64( fullp, &ssprec64 ); | ||
621 | e64toe( &ssprec64, u ); | ||
622 | sprintf( str2, format, ssprec64 ); | ||
623 | asctoe( str2, t ); | ||
624 | cmpprint( u, t ); | ||
625 | sscanf( str0, fformat, &sprec64 ); | ||
626 | e64toe( &sprec64, t ); | ||
627 | cmpscan( fullp, t ); | ||
628 | if( testno < 8 ) | ||
629 | break; | ||
630 | /* strings rounded to less than maximum precision */ | ||
631 | e64toasc( &ssprec64, str1, 24 ); | ||
632 | for( j=SPREC-1; j>0; j-- ) | ||
633 | { | ||
634 | e64toasc( &ssprec64, str3, j ); | ||
635 | asctoe( str3, v ); | ||
636 | sprintf( tformat, "%s.%dLe", pct, j ); | ||
637 | sprintf( str2, tformat, ssprec64 ); | ||
638 | asctoe( str2, t ); | ||
639 | cmptrunc( v, t ); | ||
640 | } | ||
641 | break; | ||
642 | #endif | ||
643 | #ifdef DEC | ||
644 | case 56: | ||
645 | #endif | ||
646 | case 53: | ||
647 | etoe53( fullp, &prec53 ); | ||
648 | e53toe( &prec53, rounded ); | ||
649 | #if CHKINTERNAL | ||
650 | e53toasc( &prec53, str1, SPREC ); | ||
651 | asctoe53( str1, &xprec53 ); | ||
652 | e53toe( &xprec53, t ); | ||
653 | chkinternal( rounded, t, str1 ); | ||
654 | #endif | ||
655 | sprintf( str2, format, prec53 ); | ||
656 | sscanf( str2, fformat, &sprec53 ); | ||
657 | e53toe( &sprec53, u ); | ||
658 | chkid( rounded, u, str2 ); | ||
659 | asctoe53( str2, &ssprec53 ); | ||
660 | e53toe( &ssprec53, v ); | ||
661 | chkscan( v, u, str2 ); | ||
662 | chkprint( rounded, v, str2 ); | ||
663 | if( testno < 8 ) | ||
664 | break; | ||
665 | /* rounding error measurement */ | ||
666 | etoasc( fullp, str0, 24 ); | ||
667 | etoe53( fullp, &ssprec53 ); | ||
668 | e53toe( &ssprec53, u ); | ||
669 | sprintf( str2, format, ssprec53 ); | ||
670 | asctoe( str2, t ); | ||
671 | cmpprint( u, t ); | ||
672 | sscanf( str0, fformat, &sprec53 ); | ||
673 | e53toe( &sprec53, t ); | ||
674 | cmpscan( fullp, t ); | ||
675 | if( testno < 8 ) | ||
676 | break; | ||
677 | e53toasc( &ssprec53, str1, 24 ); | ||
678 | for( j=SPREC-1; j>0; j-- ) | ||
679 | { | ||
680 | e53toasc( &ssprec53, str3, j ); | ||
681 | asctoe( str3, v ); | ||
682 | sprintf( tformat, "%s.%de", pct, j ); | ||
683 | sprintf( str2, tformat, ssprec53 ); | ||
684 | asctoe( str2, t ); | ||
685 | cmptrunc( v, t ); | ||
686 | } | ||
687 | break; | ||
688 | |||
689 | case 24: | ||
690 | etoe24( fullp, &prec24 ); | ||
691 | e24toe( &prec24, rounded ); | ||
692 | #if CHKINTERNAL | ||
693 | e24toasc( &prec24, str1, SPREC ); | ||
694 | asctoe24( str1, &xprec24 ); | ||
695 | e24toe( &xprec24, t ); | ||
696 | chkinternal( rounded, t, str1 ); | ||
697 | #endif | ||
698 | sprintf( str2, format, prec24 ); | ||
699 | sscanf( str2, fformat, &sprec24 ); | ||
700 | e24toe( &sprec24, u ); | ||
701 | chkid( rounded, u, str2 ); | ||
702 | asctoe24( str2, &ssprec24 ); | ||
703 | e24toe( &ssprec24, v ); | ||
704 | chkscan( v, u, str2 ); | ||
705 | chkprint( rounded, v, str2 ); | ||
706 | if( testno < 8 ) | ||
707 | break; | ||
708 | /* rounding error measurement */ | ||
709 | etoasc( fullp, str0, 24 ); | ||
710 | etoe24( fullp, &ssprec24 ); | ||
711 | e24toe( &ssprec24, u ); | ||
712 | sprintf( str2, format, ssprec24 ); | ||
713 | asctoe( str2, t ); | ||
714 | cmpprint( u, t ); | ||
715 | sscanf( str0, fformat, &sprec24 ); | ||
716 | e24toe( &sprec24, t ); | ||
717 | cmpscan( fullp, t ); | ||
718 | /* | ||
719 | if( testno < 8 ) | ||
720 | break; | ||
721 | */ | ||
722 | e24toasc( &ssprec24, str1, 24 ); | ||
723 | for( j=SPREC-1; j>0; j-- ) | ||
724 | { | ||
725 | e24toasc( &ssprec24, str3, j ); | ||
726 | asctoe( str3, v ); | ||
727 | sprintf( tformat, "%s.%de", pct, j ); | ||
728 | sprintf( str2, tformat, ssprec24 ); | ||
729 | asctoe( str2, t ); | ||
730 | cmptrunc( v, t ); | ||
731 | } | ||
732 | break; | ||
733 | } | ||
734 | } | ||
735 | |||
736 | |||
737 | void printerr() | ||
738 | { | ||
739 | if( (errscan == 0) && (identerr == 0) && (errprint == 0) ) | ||
740 | printf( "No errors found.\n" ); | ||
741 | else | ||
742 | { | ||
743 | printf( "%d binary -> decimal errors found.\n", errprint ); | ||
744 | printf( "%d decimal -> binary errors found.\n", errscan ); | ||
745 | } | ||
746 | errscan = 0; /* reset for next test */ | ||
747 | identerr = 0; | ||
748 | errprint = 0; | ||
749 | errtot = 0; | ||
750 | } | ||
751 | |||
752 | |||
753 | /* Random number generator | ||
754 | * in the range M * 10^N, where 1 <= M <= 10^17 - 1 | ||
755 | * and -27 <= N <= +27. Test values of M are logarithmically distributed | ||
756 | * random integers; test values of N are uniformly distributed random integers. | ||
757 | */ | ||
758 | |||
759 | static char *fwidth = "1.036163291797320557783096e1"; /* log(sqrt(10^9-1)) */ | ||
760 | static char *dwidth = "1.957197329044938830915E1"; /* log(sqrt(10^17-1)) */ | ||
761 | static char *ldwidth = "2.302585092994045684017491e1"; /* log(sqrt(10^20-1)) */ | ||
762 | |||
763 | static char *a13 = "13.0"; | ||
764 | static char *a27 = "27.0"; | ||
765 | static char *a34 = "34.0"; | ||
766 | static char *a10m13 = "1.0e-13"; | ||
767 | static unsigned short LOW[ NE ], WIDTH[NE], e27[NE], e10m13[NE]; | ||
768 | |||
769 | |||
770 | void mnrand( erand ) | ||
771 | unsigned short erand[]; | ||
772 | { | ||
773 | unsigned short ea[NE], em[NE], en[NE], ex[NE]; | ||
774 | double x, a; | ||
775 | |||
776 | if( mnrflag ) | ||
777 | { | ||
778 | if( mnrflag == 3 ) | ||
779 | { | ||
780 | asctoe( ldwidth, WIDTH ); | ||
781 | asctoe( a34, e27 ); | ||
782 | } | ||
783 | if( mnrflag == 2 ) | ||
784 | { | ||
785 | asctoe( dwidth, WIDTH ); | ||
786 | asctoe( a27, e27 ); | ||
787 | } | ||
788 | if( mnrflag == 1 ) | ||
789 | { | ||
790 | asctoe( fwidth, WIDTH ); | ||
791 | asctoe( a13, e27 ); | ||
792 | } | ||
793 | asctoe( a10m13, e10m13 ); | ||
794 | mnrflag = 0; | ||
795 | } | ||
796 | drand( &x ); | ||
797 | e53toe( &x, ex ); /* x = WIDTH * ( x - 1.0 ) + LOW; */ | ||
798 | esub( eone, ex, ex ); | ||
799 | emul( WIDTH, ex, ex ); | ||
800 | eexp( ex, ex ); /* x = exp(x); */ | ||
801 | |||
802 | drand( &a ); | ||
803 | e53toe( &a, ea ); | ||
804 | emul( ea, ex, ea ); /* a = 1.0e-13 * x * a; */ | ||
805 | emul( e10m13, ea, ea ); | ||
806 | eabs( ea ); | ||
807 | eadd( ea, ex, ex ); /* add fuzz */ | ||
808 | emul( ex, ex, ex ); /* square it, to get range to 10^17 - 1 */ | ||
809 | efloor( ex, em ); /* this is M */ | ||
810 | |||
811 | /* Random power of 10 */ | ||
812 | drand( &a ); | ||
813 | e53toe( &a, ex ); | ||
814 | esub( eone, ex, ex ); /* y3 = 54.0 * ( y3 - 1.0 ) + 0.5; */ | ||
815 | emul( e27, ex, ex ); | ||
816 | eadd( ex, ex, ex ); | ||
817 | eadd( ehalf, ex, ex ); | ||
818 | efloor( ex, ex ); /* y3 = floor( y3 ) - 27.0; */ | ||
819 | esub( e27, ex, en ); /* this is N */ | ||
820 | epow( eten, en, ex ); | ||
821 | emul( ex, em, erand ); | ||
822 | } | ||
823 | |||
824 | /* -ln 2^16382 */ | ||
825 | char *ldemin = "-1.1355137111933024058873097E4"; | ||
826 | char *ldewid = "2.2710274223866048117746193E4"; | ||
827 | /* -ln 2^1022 */ | ||
828 | char *demin = "-7.0839641853226410622441123E2"; | ||
829 | char *dewid = "1.4167928370645282124488225E3"; | ||
830 | /* -ln 2^125 */ | ||
831 | char *femin = "-8.6643397569993163677154015E1"; | ||
832 | char *fewid = "1.7328679513998632735430803E2"; | ||
833 | |||
834 | void etrand( erand ) | ||
835 | unsigned short erand[]; | ||
836 | { | ||
837 | unsigned short ea[NE], ex[NE]; | ||
838 | double x, a; | ||
839 | |||
840 | if( etrflag ) | ||
841 | { | ||
842 | if( etrflag == 3 ) | ||
843 | { | ||
844 | asctoe( ldemin, LOW ); | ||
845 | asctoe( ldewid, WIDTH ); | ||
846 | asctoe( a34, e27 ); | ||
847 | } | ||
848 | if( etrflag == 2 ) | ||
849 | { | ||
850 | asctoe( demin, LOW ); | ||
851 | asctoe( dewid, WIDTH ); | ||
852 | asctoe( a27, e27 ); | ||
853 | } | ||
854 | if( etrflag == 1 ) | ||
855 | { | ||
856 | asctoe( femin, LOW ); | ||
857 | asctoe( fewid, WIDTH ); | ||
858 | asctoe( a13, e27 ); | ||
859 | } | ||
860 | asctoe( a10m13, e10m13 ); | ||
861 | etrflag = 0; | ||
862 | } | ||
863 | drand( &x ); | ||
864 | e53toe( &x, ex ); /* x = WIDTH * ( x - 1.0 ) + LOW; */ | ||
865 | esub( eone, ex, ex ); | ||
866 | emul( WIDTH, ex, ex ); | ||
867 | eadd( LOW, ex, ex ); | ||
868 | eexp( ex, ex ); /* x = exp(x); */ | ||
869 | |||
870 | /* add fuzz | ||
871 | */ | ||
872 | drand( &a ); | ||
873 | e53toe( &a, ea ); | ||
874 | emul( ea, ex, ea ); /* a = 1.0e-13 * x * a; */ | ||
875 | emul( e10m13, ea, ea ); | ||
876 | if( ecmp( ex, ezero ) > 0 ) | ||
877 | eneg( ea ); | ||
878 | eadd( ea, ex, erand ); | ||
879 | } | ||
880 | |||