aboutsummaryrefslogtreecommitdiff
path: root/sysdeps/powerpc/test-arith.c
blob: a67958fd83738f307271af2a9cf90cf38c55806e (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
/* Test floating-point arithmetic operations.
   Copyright (C) 1997-2013 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */
#ifndef _GNU_SOURCE
#define _GNU_SOURCE
#endif
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <fenv.h>
#include <assert.h>

#ifndef ESIZE
typedef double tocheck_t;
#define ESIZE 11
#define MSIZE 52
#define FUNC(x) x
#endif

#define R_NEAREST 1
#define R_ZERO 2
#define R_UP 4
#define R_DOWN 8
#define R_ALL (R_NEAREST|R_ZERO|R_UP|R_DOWN)
static fenv_t rmodes[4];
static const char * const rmnames[4] =
{ "nearest","zero","+Inf","-Inf" };

typedef union {
  tocheck_t tc;
  unsigned char c[sizeof(tocheck_t)];
} union_t;

/* Don't try reading these in a font that doesn't distinguish
   O and zero.  */
typedef enum {
  P_Z    = 0x0,  /* 00000...0 */
  P_000O = 0x1,  /* 00011...1 */
  P_001Z = 0x2,  /* 00100...0 */
  P_00O  = 0x3,  /* 00111...1 */
  P_01Z  = 0x4,  /* 01000...0 */
  P_010O = 0x5,  /* 01011...1 */
  P_011Z = 0x6,  /* 01100...0 */
  P_0O   = 0x7,  /* 01111...1 */
  P_1Z   = 0x8,  /* 10000...0 */
  P_100O = 0x9,  /* 10011...1 */
  P_101Z = 0xa,  /* 10100...0 */
  P_10O  = 0xb,  /* 10111...1 */
  P_11Z  = 0xc,  /* 11000...0 */
  P_110O = 0xd,  /* 11011...1 */
  P_111Z = 0xe,  /* 11100...0 */
  P_O    = 0xf,  /* 11111...1 */
  P_Z1   = 0x11, /* 000...001 */
  P_Z10  = 0x12, /* 000...010 */
  P_Z11  = 0x13, /* 000...011 */
  P_0O00 = 0x14, /* 011...100 */
  P_0O01 = 0x15, /* 011...101 */
  P_0O0  = 0x16, /* 011...110 */
  P_1Z1  = 0x19, /* 100...001 */
  P_1Z10 = 0x1a, /* 100...010 */
  P_1Z11 = 0x1b, /* 100...011 */
  P_O00  = 0x1c, /* 111...100 */
  P_O01  = 0x1d, /* 111...101 */
  P_O0   = 0x1e, /* 111...110 */
  P_R    = 0x20, /* rrr...rrr */ /* ('r' means random. ) */
  P_Ro   = 0x21, /* rrr...rrr, with odd parity.  */
  P_0R   = 0x22, /* 0rr...rrr */
  P_1R   = 0x23, /* 1rr...rrr */
  P_Rno  = 0x24, /* rrr...rrr, but not all ones.  */
} pattern_t;

static void
pattern_fill(pattern_t ptn, unsigned char *start, int bitoffset, int count)
{
#define bitset(count, value) \
      start[(count)/8] = (start[(count)/8] & ~(1 << 7-(count)%8)  \
                          |  (value) << 7-(count)%8)
  int i;

  if (ptn >= 0 && ptn <= 0xf)
    {
      /* Patterns between 0 and 0xF have the following format:
	 The LSBit is used to fill the last n-3 bits of the pattern;
	 The next 3 bits are the first 3 bits of the pattern. */
      for (i = 0; i < count; i++)
	if (i < 3)
	  bitset((bitoffset+i), ptn >> (3-i) & 1);
	else
	  bitset((bitoffset+i), ptn >> 0 & 1);
    }
  else if (ptn <= 0x1f)
    {
      /* Patterns between 0x10 and 0x1F have the following format:
	 The two LSBits are the last two bits of the pattern;
	 The 0x8 bit is the first bit of the pattern;
	 The 0x4 bit is used to fill the remainder. */
      for (i = 0; i < count; i++)
	if (i == 0)
	  bitset((bitoffset+i), ptn >> 3 & 1);
	else if (i >= count-2)
	  bitset((bitoffset+i), ptn >> (count-1-i) & 1);
	else
	  bitset((bitoffset+i), ptn >> 2 & 1);
    }
  else switch (ptn)
    {
    case P_0R: case P_1R:
      assert(count > 0);
      bitset(bitoffset, ptn & 1);
      count--;
      bitoffset++;
    case P_R:
      for (; count > 0; count--, bitoffset++)
	bitset(bitoffset, rand() & 1);
      break;
    case P_Ro:
      {
	int op = 1;
	assert(count > 0);
	for (; count > 1; count--, bitoffset++)
	  bitset(bitoffset, op ^= (rand() & 1));
	bitset(bitoffset, op);
	break;
      }
    case P_Rno:
      {
	int op = 1;
	assert(count > 0);
	for (; count > 1; count--, bitoffset++)
	{
	  int r = rand() & 1;
	  op &= r;
	  bitset(bitoffset, r);
	}
	bitset(bitoffset, rand() & (op ^ 1));
	break;
      }

    default:
      assert(0);
    }
#undef bitset
}

static tocheck_t
pattern(int negative, pattern_t exp, pattern_t mant)
{
  union_t result;
#if 0
  int i;
#endif

  pattern_fill(negative ? P_O : P_Z, result.c, 0, 1);
  pattern_fill(exp, result.c, 1, ESIZE);
  pattern_fill(mant, result.c, ESIZE+1, MSIZE);
#if 0
  printf("neg=%d exp=%02x mant=%02x: ", negative, exp, mant);
  for (i = 0; i < sizeof(tocheck_t); i++)
    printf("%02x", result.c[i]);
  printf("\n");
#endif
  return result.tc;
}

/* Return the closest different tocheck_t to 'x' in the direction of
   'direction', or 'x' if there is no such value.  Assumes 'x' is not
   a NaN.  */
static tocheck_t
delta(tocheck_t x, int direction)
{
  union_t xx;
  int i;

  xx.tc = x;
  if (xx.c[0] & 0x80)
    direction = -direction;
  if (direction == +1)
    {
      union_t tx;
      tx.tc = pattern(xx.c[0] >> 7, P_O, P_Z);
      if (memcmp(tx.c, xx.c, sizeof(tocheck_t)) == 0)
	return x;
    }
  for (i = sizeof(tocheck_t)-1; i > 0; i--)
    {
      xx.c[i] += direction;
      if (xx.c[i] != (direction > 0 ? 0 : 0xff))
	return xx.tc;
    }
  if (direction < 0 && (xx.c[0] & 0x7f) == 0)
    return pattern(~(xx.c[0] >> 7) & 1, P_Z, P_Z1);
  else
    {
      xx.c[0] += direction;
      return xx.tc;
    }
}

static int nerrors = 0;

#ifdef FE_ALL_INVALID
static const int all_exceptions = FE_ALL_INVALID | FE_ALL_EXCEPT;
#else
static const int all_exceptions = FE_ALL_EXCEPT;
#endif

static void
check_result(int line, const char *rm, tocheck_t expected, tocheck_t actual)
{
  if (memcmp(&expected, &actual, sizeof(tocheck_t)) != 0)
    {
      unsigned char *ex, *ac;
      size_t i;

      printf("%s:%d:round %s:result failed\n"
	     " expected result 0x", __FILE__, line, rm);
      ex = (unsigned char *)&expected;
      ac = (unsigned char *)&actual;
      for (i = 0; i < sizeof(tocheck_t); i++)
	printf("%02x", ex[i]);
      printf(" got 0x");
      for (i = 0; i < sizeof(tocheck_t); i++)
	printf("%02x", ac[i]);
      printf("\n");
      nerrors++;
    }
}

static const struct {
  int except;
  const char *name;
} excepts[] = {
#define except_entry(ex) { ex, #ex } ,
#ifdef FE_INEXACT
  except_entry(FE_INEXACT)
#else
# define FE_INEXACT 0
#endif
#ifdef FE_DIVBYZERO
  except_entry(FE_DIVBYZERO)
#else
# define FE_DIVBYZERO 0
#endif
#ifdef FE_UNDERFLOW
  except_entry(FE_UNDERFLOW)
#else
# define FE_UNDERFLOW 0
#endif
#ifdef FE_OVERFLOW
  except_entry(FE_OVERFLOW)
#else
# define FE_OVERFLOW 0
#endif
#ifdef FE_INVALID
  except_entry(FE_INVALID)
#else
# define FE_INVALID 0
#endif
#ifdef FE_INVALID_SNAN
  except_entry(FE_INVALID_SNAN)
#else
# define FE_INVALID_SNAN FE_INVALID
#endif
#ifdef FE_INVALID_ISI
  except_entry(FE_INVALID_ISI)
#else
# define FE_INVALID_ISI FE_INVALID
#endif
#ifdef FE_INVALID_IDI
  except_entry(FE_INVALID_IDI)
#else
# define FE_INVALID_IDI FE_INVALID
#endif
#ifdef FE_INVALID_ZDZ
  except_entry(FE_INVALID_ZDZ)
#else
# define FE_INVALID_ZDZ FE_INVALID
#endif
#ifdef FE_INVALID_COMPARE
  except_entry(FE_INVALID_COMPARE)
#else
# define FE_INVALID_COMPARE FE_INVALID
#endif
#ifdef FE_INVALID_SOFTWARE
  except_entry(FE_INVALID_SOFTWARE)
#else
# define FE_INVALID_SOFTWARE FE_INVALID
#endif
#ifdef FE_INVALID_SQRT
  except_entry(FE_INVALID_SQRT)
#else
# define FE_INVALID_SQRT FE_INVALID
#endif
#ifdef FE_INVALID_INTEGER_CONVERSION
  except_entry(FE_INVALID_INTEGER_CONVERSION)
#else
# define FE_INVALID_INTEGER_CONVERSION FE_INVALID
#endif
};

static int excepts_missing = 0;

static void
check_excepts(int line, const char *rm, int expected, int actual)
{
  if (expected & excepts_missing)
    expected = expected & ~excepts_missing | FE_INVALID_SNAN;
  if ((expected & all_exceptions) != actual)
    {
      size_t i;
      printf("%s:%d:round %s:exceptions failed\n"
	     " expected exceptions ", __FILE__, line,rm);
      for (i = 0; i < sizeof(excepts)/sizeof(excepts[0]); i++)
	if (expected & excepts[i].except)
	  printf("%s ",excepts[i].name);
      if ((expected & all_exceptions) == 0)
	printf("- ");
      printf("got");
      for (i = 0; i < sizeof(excepts)/sizeof(excepts[0]); i++)
	if (actual & excepts[i].except)
	  printf(" %s",excepts[i].name);
      if ((actual & all_exceptions) == 0)
	printf("- ");
      printf(".\n");
      nerrors++;
    }
}

typedef enum {
  B_ADD, B_SUB, B_MUL, B_DIV, B_NEG, B_ABS, B_SQRT
} op_t;
typedef struct {
  int line;
  op_t op;
  int a_sgn;
  pattern_t a_exp, a_mant;
  int b_sgn;
  pattern_t b_exp, b_mant;
  int rmode;
  int excepts;
  int x_sgn;
  pattern_t x_exp, x_mant;
} optest_t;
static const optest_t optests[] = {
  /* Additions of zero.  */
  {__LINE__,B_ADD, 0,P_Z,P_Z, 0,P_Z,P_Z, R_ALL,0, 0,P_Z,P_Z },
  {__LINE__,B_ADD, 1,P_Z,P_Z, 0,P_Z,P_Z, R_ALL & ~R_DOWN,0, 0,P_Z,P_Z },
  {__LINE__,B_ADD, 1,P_Z,P_Z, 0,P_Z,P_Z, R_DOWN,0, 1,P_Z,P_Z },
  {__LINE__,B_ADD, 1,P_Z,P_Z, 1,P_Z,P_Z, R_ALL,0, 1,P_Z,P_Z },

  /* Additions with NaN.  */
  {__LINE__,B_ADD, 0,P_O,P_101Z, 0,P_Z,P_Z, R_ALL,0, 0,P_O,P_101Z },
  {__LINE__,B_ADD, 0,P_O,P_01Z, 0,P_Z,P_Z, R_ALL,
   FE_INVALID | FE_INVALID_SNAN, 0,P_O,P_11Z },
  {__LINE__,B_ADD, 0,P_O,P_Z, 0,P_O,P_0O, R_ALL,
   FE_INVALID | FE_INVALID_SNAN, 0,P_O,P_O },
  {__LINE__,B_ADD, 0,P_Z,P_Z, 0,P_O,P_11Z, R_ALL,0, 0,P_O,P_11Z },
  {__LINE__,B_ADD, 0,P_O,P_001Z, 0,P_O,P_001Z, R_ALL,
   FE_INVALID | FE_INVALID_SNAN, 0,P_O,P_101Z },
  {__LINE__,B_ADD, 0,P_O,P_1Z, 0,P_Z,P_Z, R_ALL,0, 0,P_O,P_1Z },
  {__LINE__,B_ADD, 0,P_0O,P_Z, 0,P_O,P_10O, R_ALL,0, 0,P_O,P_10O },

  /* Additions with infinity.  */
  {__LINE__,B_ADD, 0,P_O,P_Z, 0,P_Z,P_Z, R_ALL,0, 0,P_O,P_Z },
  {__LINE__,B_ADD, 0,P_O,P_Z, 1,P_Z,P_Z, R_ALL,0, 0,P_O,P_Z },
  {__LINE__,B_ADD, 1,P_O,P_Z, 0,P_Z,P_Z, R_ALL,0, 1,P_O,P_Z },
  {__LINE__,B_ADD, 1,P_O,P_Z, 1,P_Z,P_Z, R_ALL,0, 1,P_O,P_Z },
  {__LINE__,B_ADD, 0,P_O,P_Z, 0,P_O,P_Z, R_ALL,0, 0,P_O,P_Z },
  {__LINE__,B_ADD, 1,P_O,P_Z, 1,P_O,P_Z, R_ALL,0, 1,P_O,P_Z },
  {__LINE__,B_ADD, 0,P_O,P_Z, 1,P_O,P_Z, R_ALL,
   FE_INVALID | FE_INVALID_ISI, 0,P_O,P_1Z },
  {__LINE__,B_ADD, 1,P_O,P_Z, 0,P_O,P_Z, R_ALL,
   FE_INVALID | FE_INVALID_ISI, 0,P_O,P_1Z },
  {__LINE__,B_ADD, 0,P_O,P_Z, 0,P_0O,P_Z, R_ALL,0, 0,P_O,P_Z },
  {__LINE__,B_ADD, 1,P_O,P_Z, 0,P_0O,P_Z, R_ALL,0, 1,P_O,P_Z },
  {__LINE__,B_ADD, 0,P_O,P_Z, 1,P_0O,P_Z, R_ALL,0, 0,P_O,P_Z },
  {__LINE__,B_ADD, 1,P_O,P_Z, 1,P_0O,P_Z, R_ALL,0, 1,P_O,P_Z },

  /* Overflow (and zero).  */
  {__LINE__,B_ADD, 0,P_O0,P_Z, 0,P_O0,P_Z, R_NEAREST | R_UP,
   FE_INEXACT | FE_OVERFLOW, 0,P_O,P_Z },
  {__LINE__,B_ADD, 0,P_O0,P_Z, 0,P_O0,P_Z, R_ZERO | R_DOWN,
   FE_INEXACT | FE_OVERFLOW, 0,P_O0,P_O },
  {__LINE__,B_ADD, 1,P_O0,P_Z, 1,P_O0,P_Z, R_NEAREST | R_DOWN,
   FE_INEXACT | FE_OVERFLOW, 1,P_O,P_Z },
  {__LINE__,B_ADD, 1,P_O0,P_Z, 1,P_O0,P_Z, R_ZERO | R_UP,
   FE_INEXACT | FE_OVERFLOW, 1,P_O0,P_O },
  {__LINE__,B_ADD, 0,P_O0,P_Z, 1,P_O0,P_Z, R_ALL & ~R_DOWN,
   0, 0,P_Z,P_Z },
  {__LINE__,B_ADD, 0,P_O0,P_Z, 1,P_O0,P_Z, R_DOWN,
   0, 1,P_Z,P_Z },

  /* Negation.  */
  {__LINE__,B_NEG, 0,P_Z,P_Z,   0,0,0, R_ALL, 0, 1,P_Z,P_Z },
  {__LINE__,B_NEG, 1,P_Z,P_Z,   0,0,0, R_ALL, 0, 0,P_Z,P_Z },
  {__LINE__,B_NEG, 0,P_O,P_Z,   0,0,0, R_ALL, 0, 1,P_O,P_Z },
  {__LINE__,B_NEG, 1,P_O,P_Z,   0,0,0, R_ALL, 0, 0,P_O,P_Z },
  {__LINE__,B_NEG, 0,P_O,P_1Z,  0,0,0, R_ALL, 0, 1,P_O,P_1Z },
  {__LINE__,B_NEG, 1,P_O,P_1Z,  0,0,0, R_ALL, 0, 0,P_O,P_1Z },
  {__LINE__,B_NEG, 0,P_O,P_01Z, 0,0,0, R_ALL, 0, 1,P_O,P_01Z },
  {__LINE__,B_NEG, 1,P_O,P_01Z, 0,0,0, R_ALL, 0, 0,P_O,P_01Z },
  {__LINE__,B_NEG, 0,P_1Z,P_1Z1, 0,0,0, R_ALL, 0, 1,P_1Z,P_1Z1 },
  {__LINE__,B_NEG, 1,P_1Z,P_1Z1, 0,0,0, R_ALL, 0, 0,P_1Z,P_1Z1 },
  {__LINE__,B_NEG, 0,P_Z,P_Z1,  0,0,0, R_ALL, 0, 1,P_Z,P_Z1 },
  {__LINE__,B_NEG, 1,P_Z,P_Z1,  0,0,0, R_ALL, 0, 0,P_Z,P_Z1 },

  /* Absolute value.  */
  {__LINE__,B_ABS, 0,P_Z,P_Z,   0,0,0, R_ALL, 0, 0,P_Z,P_Z },
  {__LINE__,B_ABS, 1,P_Z,P_Z,   0,0,0, R_ALL, 0, 0,P_Z,P_Z },
  {__LINE__,B_ABS, 0,P_O,P_Z,   0,0,0, R_ALL, 0, 0,P_O,P_Z },
  {__LINE__,B_ABS, 1,P_O,P_Z,   0,0,0, R_ALL, 0, 0,P_O,P_Z },
  {__LINE__,B_ABS, 0,P_O,P_1Z,  0,0,0, R_ALL, 0, 0,P_O,P_1Z },
  {__LINE__,B_ABS, 1,P_O,P_1Z,  0,0,0, R_ALL, 0, 0,P_O,P_1Z },
  {__LINE__,B_ABS, 0,P_O,P_01Z, 0,0,0, R_ALL, 0, 0,P_O,P_01Z },
  {__LINE__,B_ABS, 1,P_O,P_01Z, 0,0,0, R_ALL, 0, 0,P_O,P_01Z },
  {__LINE__,B_ABS, 0,P_1Z,P_1Z1, 0,0,0, R_ALL, 0, 0,P_1Z,P_1Z1 },
  {__LINE__,B_ABS, 1,P_1Z,P_1Z1, 0,0,0, R_ALL, 0, 0,P_1Z,P_1Z1 },
  {__LINE__,B_ABS, 0,P_Z,P_Z1,  0,0,0, R_ALL, 0, 0,P_Z,P_Z1 },
  {__LINE__,B_ABS, 1,P_Z,P_Z1,  0,0,0, R_ALL, 0, 0,P_Z,P_Z1 },

  /* Square root.  */
  {__LINE__,B_SQRT, 0,P_Z,P_Z,   0,0,0, R_ALL, 0, 0,P_Z,P_Z },
  {__LINE__,B_SQRT, 1,P_Z,P_Z,   0,0,0, R_ALL, 0, 1,P_Z,P_Z },
  {__LINE__,B_SQRT, 0,P_O,P_1Z,  0,0,0, R_ALL, 0, 0,P_O,P_1Z },
  {__LINE__,B_SQRT, 1,P_O,P_1Z,  0,0,0, R_ALL, 0, 1,P_O,P_1Z },
  {__LINE__,B_SQRT, 0,P_O,P_01Z, 0,0,0, R_ALL,
   FE_INVALID | FE_INVALID_SNAN, 0,P_O,P_11Z },
  {__LINE__,B_SQRT, 1,P_O,P_01Z, 0,0,0, R_ALL,
   FE_INVALID | FE_INVALID_SNAN, 1,P_O,P_11Z },

  {__LINE__,B_SQRT, 0,P_O,P_Z,   0,0,0, R_ALL, 0, 0,P_O,P_Z },
  {__LINE__,B_SQRT, 0,P_0O,P_Z,  0,0,0, R_ALL, 0, 0,P_0O,P_Z },

  {__LINE__,B_SQRT, 1,P_O,P_Z,   0,0,0, R_ALL,
   FE_INVALID | FE_INVALID_SQRT, 0,P_O,P_1Z },
  {__LINE__,B_SQRT, 1,P_1Z,P_1Z1, 0,0,0, R_ALL,
   FE_INVALID | FE_INVALID_SQRT, 0,P_O,P_1Z },
  {__LINE__,B_SQRT, 1,P_Z,P_Z1,  0,0,0, R_ALL,
   FE_INVALID | FE_INVALID_SQRT, 0,P_O,P_1Z },

};

static void
check_op(void)
{
  size_t i;
  int j;
  tocheck_t r, a, b, x;
  int raised;

  for (i = 0; i < sizeof(optests)/sizeof(optests[0]); i++)
    {
      a = pattern(optests[i].a_sgn, optests[i].a_exp,
		  optests[i].a_mant);
      b = pattern(optests[i].b_sgn, optests[i].b_exp,
		  optests[i].b_mant);
      x = pattern(optests[i].x_sgn, optests[i].x_exp,
		  optests[i].x_mant);
      for (j = 0; j < 4; j++)
	if (optests[i].rmode & 1<<j)
	  {
	    fesetenv(rmodes+j);
	    switch (optests[i].op)
	      {
	      case B_ADD: r = a + b; break;
	      case B_SUB: r = a - b; break;
	      case B_MUL: r = a * b; break;
	      case B_DIV: r = a / b; break;
	      case B_NEG: r = -a; break;
	      case B_ABS: r = FUNC(fabs)(a); break;
	      case B_SQRT: r = FUNC(sqrt)(a); break;
	      }
	    raised = fetestexcept(all_exceptions);
	    check_result(optests[i].line,rmnames[j],x,r);
	    check_excepts(optests[i].line,rmnames[j],
			  optests[i].excepts,raised);
	  }
    }
}

static void
fail_xr(int line, const char *rm, tocheck_t x, tocheck_t r, tocheck_t xx,
	int xflag)
{
  size_t i;
  unsigned char *cx, *cr, *cxx;

  printf("%s:%d:round %s:fail\n with x=0x", __FILE__, line,rm);
  cx = (unsigned char *)&x;
  cr = (unsigned char *)&r;
  cxx = (unsigned char *)&xx;
  for (i = 0; i < sizeof(tocheck_t); i++)
    printf("%02x", cx[i]);
  printf(" r=0x");
  for (i = 0; i < sizeof(tocheck_t); i++)
    printf("%02x", cr[i]);
  printf(" xx=0x");
  for (i = 0; i < sizeof(tocheck_t); i++)
    printf("%02x", cxx[i]);
  printf(" inexact=%d\n", xflag != 0);
  nerrors++;
}

static void
check_sqrt(tocheck_t a)
{
  int j;
  tocheck_t r0, r1, r2, x0, x1, x2;
  int raised = 0;
  int ok;

  for (j = 0; j < 4; j++)
    {
      int excepts;

      fesetenv(rmodes+j);
      r1 = FUNC(sqrt)(a);
      excepts = fetestexcept(all_exceptions);
      fesetenv(FE_DFL_ENV);
      raised |= excepts & ~FE_INEXACT;
      x1 = r1 * r1 - a;
      if (excepts & FE_INEXACT)
	{
	  r0 = delta(r1,-1); r2 = delta(r1,1);
	  switch (1 << j)
	    {
	    case R_NEAREST:
	      x0 = r0 * r0 - a; x2 = r2 * r2 - a;
	      ok = fabs(x0) >= fabs(x1) && fabs(x1) <= fabs(x2);
	      break;
	    case R_ZERO:  case R_DOWN:
	      x2 = r2 * r2 - a;
	      ok = x1 <= 0 && x2 >= 0;
	      break;
	    case R_UP:
	      x0 = r0 * r0 - a;
	      ok = x1 >= 0 && x0 <= 0;
	      break;
	    default:
	      assert(0);
	    }
	}
      else
	ok = x1 == 0;
      if (!ok)
	fail_xr(__LINE__,rmnames[j],a,r1,x1,excepts&FE_INEXACT);
    }
  check_excepts(__LINE__,"all",0,raised);
}

int main(int argc, char **argv)
{
  int i;

  _LIB_VERSION = _IEEE_;

  /* Set up environments for rounding modes.  */
  fesetenv(FE_DFL_ENV);
  fesetround(FE_TONEAREST);
  fegetenv(rmodes+0);
  fesetround(FE_TOWARDZERO);
  fegetenv(rmodes+1);
  fesetround(FE_UPWARD);
  fegetenv(rmodes+2);
  fesetround(FE_DOWNWARD);
  fegetenv(rmodes+3);

#if defined(FE_INVALID_SOFTWARE) || defined(FE_INVALID_SQRT)
  /* There's this really stupid feature of the 601... */
  fesetenv(FE_DFL_ENV);
  feraiseexcept(FE_INVALID_SOFTWARE);
  if (!fetestexcept(FE_INVALID_SOFTWARE))
    excepts_missing |= FE_INVALID_SOFTWARE;
  fesetenv(FE_DFL_ENV);
  feraiseexcept(FE_INVALID_SQRT);
  if (!fetestexcept(FE_INVALID_SQRT))
    excepts_missing |= FE_INVALID_SQRT;
#endif

  check_op();
  for (i = 0; i < 100000; i++)
    check_sqrt(pattern(0, P_Rno, P_R));
  for (i = 0; i < 100; i++)
    check_sqrt(pattern(0, P_Z, P_R));
  check_sqrt(pattern(0,P_Z,P_Z1));

  printf("%d errors.\n", nerrors);
  return nerrors == 0 ? 0 : 1;
}