sysdeps/powerpc/test-arith.c

   1 /* Test floating-point arithmetic operations.
   2    Copyright (C) 1997-2016 Free Software Foundation, Inc.
   3    This file is part of the GNU C Library.
   4
   5    The GNU C Library is free software; you can redistribute it and/or
   6    modify it under the terms of the GNU Lesser General Public
   7    License as published by the Free Software Foundation; either
   8    version 2.1 of the License, or (at your option) any later version.
   9
  10    The GNU C Library is distributed in the hope that it will be useful,
  11    but WITHOUT ANY WARRANTY; without even the implied warranty of
  12    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  13    Lesser General Public License for more details.
  14
  15    You should have received a copy of the GNU Lesser General Public
  16    License along with the GNU C Library; if not, see
  17    <http://www.gnu.org/licenses/>.  */
  18 #ifndef _GNU_SOURCE
  19 #define _GNU_SOURCE
  20 #endif
  21 #include <math.h>
  22 #include <stdio.h>
  23 #include <stdlib.h>
  24 #include <string.h>
  25 #include <fenv.h>
  26 #include <assert.h>
  27
  28 #ifndef ESIZE
  29 typedef double tocheck_t;
  30 #define ESIZE 11
  31 #define MSIZE 52
  32 #define FUNC(x) x
  33 #endif
  34
  35 #define R_NEAREST 1
  36 #define R_ZERO 2
  37 #define R_UP 4
  38 #define R_DOWN 8
  39 #define R_ALL (R_NEAREST|R_ZERO|R_UP|R_DOWN)
  40 static fenv_t rmodes[4];
  41 static const char * const rmnames[4] =
  42 { "nearest","zero","+Inf","-Inf" };
  43
  44 typedef union {
  45   tocheck_t tc;
  46   unsigned char c[sizeof(tocheck_t)];
  47 } union_t;
  48
  49 /* Don't try reading these in a font that doesn't distinguish
  50    O and zero.  */
  51 typedef enum {
  52   P_Z    = 0x0,  /* 00000...0 */
  53   P_000O = 0x1,  /* 00011...1 */
  54   P_001Z = 0x2,  /* 00100...0 */
  55   P_00O  = 0x3,  /* 00111...1 */
  56   P_01Z  = 0x4,  /* 01000...0 */
  57   P_010O = 0x5,  /* 01011...1 */
  58   P_011Z = 0x6,  /* 01100...0 */
  59   P_0O   = 0x7,  /* 01111...1 */
  60   P_1Z   = 0x8,  /* 10000...0 */
  61   P_100O = 0x9,  /* 10011...1 */
  62   P_101Z = 0xa,  /* 10100...0 */
  63   P_10O  = 0xb,  /* 10111...1 */
  64   P_11Z  = 0xc,  /* 11000...0 */
  65   P_110O = 0xd,  /* 11011...1 */
  66   P_111Z = 0xe,  /* 11100...0 */
  67   P_O    = 0xf,  /* 11111...1 */
  68   P_Z1   = 0x11, /* 000...001 */
  69   P_Z10  = 0x12, /* 000...010 */
  70   P_Z11  = 0x13, /* 000...011 */
  71   P_0O00 = 0x14, /* 011...100 */
  72   P_0O01 = 0x15, /* 011...101 */
  73   P_0O0  = 0x16, /* 011...110 */
  74   P_1Z1  = 0x19, /* 100...001 */
  75   P_1Z10 = 0x1a, /* 100...010 */
  76   P_1Z11 = 0x1b, /* 100...011 */
  77   P_O00  = 0x1c, /* 111...100 */
  78   P_O01  = 0x1d, /* 111...101 */
  79   P_O0   = 0x1e, /* 111...110 */
  80   P_R    = 0x20, /* rrr...rrr */ /* ('r' means random. ) */
  81   P_Ro   = 0x21, /* rrr...rrr, with odd parity.  */
  82   P_0R   = 0x22, /* 0rr...rrr */
  83   P_1R   = 0x23, /* 1rr...rrr */
  84   P_Rno  = 0x24, /* rrr...rrr, but not all ones.  */
  85 } pattern_t;
  86
  87 static void
  88 pattern_fill(pattern_t ptn, unsigned char *start, int bitoffset, int count)
  89 {
  90 #define bitset(count, value) \
  91       start[(count)/8] = (start[(count)/8] & ~(1 << 7-(count)%8)  \
  92                           |  (value) << 7-(count)%8)
  93   int i;
  94
  95   if (ptn >= 0 && ptn <= 0xf)
  96     {
  97       /* Patterns between 0 and 0xF have the following format:
  98          The LSBit is used to fill the last n-3 bits of the pattern;
  99          The next 3 bits are the first 3 bits of the pattern. */
 100       for (i = 0; i < count; i++)
 101         if (i < 3)
 102           bitset((bitoffset+i), ptn >> (3-i) & 1);
 103         else
 104           bitset((bitoffset+i), ptn >> 0 & 1);
 105     }
 106   else if (ptn <= 0x1f)
 107     {
 108       /* Patterns between 0x10 and 0x1F have the following format:
 109          The two LSBits are the last two bits of the pattern;
 110          The 0x8 bit is the first bit of the pattern;
 111          The 0x4 bit is used to fill the remainder. */
 112       for (i = 0; i < count; i++)
 113         if (i == 0)
 114           bitset((bitoffset+i), ptn >> 3 & 1);
 115         else if (i >= count-2)
 116           bitset((bitoffset+i), ptn >> (count-1-i) & 1);
 117         else
 118           bitset((bitoffset+i), ptn >> 2 & 1);
 119     }
 120   else switch (ptn)
 121     {
 122     case P_0R: case P_1R:
 123       assert(count > 0);
 124       bitset(bitoffset, ptn & 1);
 125       count--;
 126       bitoffset++;
 127     case P_R:
 128       for (; count > 0; count--, bitoffset++)
 129         bitset(bitoffset, rand() & 1);
 130       break;
 131     case P_Ro:
 132       {
 133         int op = 1;
 134         assert(count > 0);
 135         for (; count > 1; count--, bitoffset++)
 136           bitset(bitoffset, op ^= (rand() & 1));
 137         bitset(bitoffset, op);
 138         break;
 139       }
 140     case P_Rno:
 141       {
 142         int op = 1;
 143         assert(count > 0);
 144         for (; count > 1; count--, bitoffset++)
 145         {
 146           int r = rand() & 1;
 147           op &= r;
 148           bitset(bitoffset, r);
 149         }
 150         bitset(bitoffset, rand() & (op ^ 1));
 151         break;
 152       }
 153
 154     default:
 155       assert(0);
 156     }
 157 #undef bitset
 158 }
 159
 160 static tocheck_t
 161 pattern(int negative, pattern_t exp, pattern_t mant)
 162 {
 163   union_t result;
 164 #if 0
 165   int i;
 166 #endif
 167
 168   pattern_fill(negative ? P_O : P_Z, result.c, 0, 1);
 169   pattern_fill(exp, result.c, 1, ESIZE);
 170   pattern_fill(mant, result.c, ESIZE+1, MSIZE);
 171 #if 0
 172   printf("neg=%d exp=%02x mant=%02x: ", negative, exp, mant);
 173   for (i = 0; i < sizeof(tocheck_t); i++)
 174     printf("%02x", result.c[i]);
 175   printf("\n");
 176 #endif
 177   return result.tc;
 178 }
 179
 180 /* Return the closest different tocheck_t to 'x' in the direction of
 181    'direction', or 'x' if there is no such value.  Assumes 'x' is not
 182    a NaN.  */
 183 static tocheck_t
 184 delta(tocheck_t x, int direction)
 185 {
 186   union_t xx;
 187   int i;
 188
 189   xx.tc = x;
 190   if (xx.c[0] & 0x80)
 191     direction = -direction;
 192   if (direction == +1)
 193     {
 194       union_t tx;
 195       tx.tc = pattern(xx.c[0] >> 7, P_O, P_Z);
 196       if (memcmp(tx.c, xx.c, sizeof(tocheck_t)) == 0)
 197         return x;
 198     }
 199   for (i = sizeof(tocheck_t)-1; i > 0; i--)
 200     {
 201       xx.c[i] += direction;
 202       if (xx.c[i] != (direction > 0 ? 0 : 0xff))
 203         return xx.tc;
 204     }
 205   if (direction < 0 && (xx.c[0] & 0x7f) == 0)
 206     return pattern(~(xx.c[0] >> 7) & 1, P_Z, P_Z1);
 207   else
 208     {
 209       xx.c[0] += direction;
 210       return xx.tc;
 211     }
 212 }
 213
 214 static int nerrors = 0;
 215
 216 #ifdef FE_ALL_INVALID
 217 static const int all_exceptions = FE_ALL_INVALID | FE_ALL_EXCEPT;
 218 #else
 219 static const int all_exceptions = FE_ALL_EXCEPT;
 220 #endif
 221
 222 static void
 223 check_result(int line, const char *rm, tocheck_t expected, tocheck_t actual)
 224 {
 225   if (memcmp(&expected, &actual, sizeof(tocheck_t)) != 0)
 226     {
 227       unsigned char *ex, *ac;
 228       size_t i;
 229
 230       printf("%s:%d:round %s:result failed\n"
 231              " expected result 0x", __FILE__, line, rm);
 232       ex = (unsigned char *)&expected;
 233       ac = (unsigned char *)&actual;
 234       for (i = 0; i < sizeof(tocheck_t); i++)
 235         printf("%02x", ex[i]);
 236       printf(" got 0x");
 237       for (i = 0; i < sizeof(tocheck_t); i++)
 238         printf("%02x", ac[i]);
 239       printf("\n");
 240       nerrors++;
 241     }
 242 }
 243
 244 static const struct {
 245   int except;
 246   const char *name;
 247 } excepts[] = {
 248 #define except_entry(ex) { ex, #ex } ,
 249 #ifdef FE_INEXACT
 250   except_entry(FE_INEXACT)
 251 #else
 252 # define FE_INEXACT 0
 253 #endif
 254 #ifdef FE_DIVBYZERO
 255   except_entry(FE_DIVBYZERO)
 256 #else
 257 # define FE_DIVBYZERO 0
 258 #endif
 259 #ifdef FE_UNDERFLOW
 260   except_entry(FE_UNDERFLOW)
 261 #else
 262 # define FE_UNDERFLOW 0
 263 #endif
 264 #ifdef FE_OVERFLOW
 265   except_entry(FE_OVERFLOW)
 266 #else
 267 # define FE_OVERFLOW 0
 268 #endif
 269 #ifdef FE_INVALID
 270   except_entry(FE_INVALID)
 271 #else
 272 # define FE_INVALID 0
 273 #endif
 274 #ifdef FE_INVALID_SNAN
 275   except_entry(FE_INVALID_SNAN)
 276 #else
 277 # define FE_INVALID_SNAN FE_INVALID
 278 #endif
 279 #ifdef FE_INVALID_ISI
 280   except_entry(FE_INVALID_ISI)
 281 #else
 282 # define FE_INVALID_ISI FE_INVALID
 283 #endif
 284 #ifdef FE_INVALID_IDI
 285   except_entry(FE_INVALID_IDI)
 286 #else
 287 # define FE_INVALID_IDI FE_INVALID
 288 #endif
 289 #ifdef FE_INVALID_ZDZ
 290   except_entry(FE_INVALID_ZDZ)
 291 #else
 292 # define FE_INVALID_ZDZ FE_INVALID
 293 #endif
 294 #ifdef FE_INVALID_COMPARE
 295   except_entry(FE_INVALID_COMPARE)
 296 #else
 297 # define FE_INVALID_COMPARE FE_INVALID
 298 #endif
 299 #ifdef FE_INVALID_SOFTWARE
 300   except_entry(FE_INVALID_SOFTWARE)
 301 #else
 302 # define FE_INVALID_SOFTWARE FE_INVALID
 303 #endif
 304 #ifdef FE_INVALID_SQRT
 305   except_entry(FE_INVALID_SQRT)
 306 #else
 307 # define FE_INVALID_SQRT FE_INVALID
 308 #endif
 309 #ifdef FE_INVALID_INTEGER_CONVERSION
 310   except_entry(FE_INVALID_INTEGER_CONVERSION)
 311 #else
 312 # define FE_INVALID_INTEGER_CONVERSION FE_INVALID
 313 #endif
 314 };
 315
 316 static int excepts_missing = 0;
 317
 318 static void
 319 check_excepts(int line, const char *rm, int expected, int actual)
 320 {
 321   if (expected & excepts_missing)
 322     expected = expected & ~excepts_missing | FE_INVALID_SNAN;
 323   if ((expected & all_exceptions) != actual)
 324     {
 325       size_t i;
 326       printf("%s:%d:round %s:exceptions failed\n"
 327              " expected exceptions ", __FILE__, line,rm);
 328       for (i = 0; i < sizeof(excepts)/sizeof(excepts[0]); i++)
 329         if (expected & excepts[i].except)
 330           printf("%s ",excepts[i].name);
 331       if ((expected & all_exceptions) == 0)
 332         printf("- ");
 333       printf("got");
 334       for (i = 0; i < sizeof(excepts)/sizeof(excepts[0]); i++)
 335         if (actual & excepts[i].except)
 336           printf(" %s",excepts[i].name);
 337       if ((actual & all_exceptions) == 0)
 338         printf("- ");
 339       printf(".\n");
 340       nerrors++;
 341     }
 342 }
 343
 344 typedef enum {
 345   B_ADD, B_SUB, B_MUL, B_DIV, B_NEG, B_ABS, B_SQRT
 346 } op_t;
 347 typedef struct {
 348   int line;
 349   op_t op;
 350   int a_sgn;
 351   pattern_t a_exp, a_mant;
 352   int b_sgn;
 353   pattern_t b_exp, b_mant;
 354   int rmode;
 355   int excepts;
 356   int x_sgn;
 357   pattern_t x_exp, x_mant;
 358 } optest_t;
 359 static const optest_t optests[] = {
 360   /* Additions of zero.  */
 361   {__LINE__,B_ADD, 0,P_Z,P_Z, 0,P_Z,P_Z, R_ALL,0, 0,P_Z,P_Z },
 362   {__LINE__,B_ADD, 1,P_Z,P_Z, 0,P_Z,P_Z, R_ALL & ~R_DOWN,0, 0,P_Z,P_Z },
 363   {__LINE__,B_ADD, 1,P_Z,P_Z, 0,P_Z,P_Z, R_DOWN,0, 1,P_Z,P_Z },
 364   {__LINE__,B_ADD, 1,P_Z,P_Z, 1,P_Z,P_Z, R_ALL,0, 1,P_Z,P_Z },
 365
 366   /* Additions with NaN.  */
 367   {__LINE__,B_ADD, 0,P_O,P_101Z, 0,P_Z,P_Z, R_ALL,0, 0,P_O,P_101Z },
 368   {__LINE__,B_ADD, 0,P_O,P_01Z, 0,P_Z,P_Z, R_ALL,
 369    FE_INVALID | FE_INVALID_SNAN, 0,P_O,P_11Z },
 370   {__LINE__,B_ADD, 0,P_O,P_Z, 0,P_O,P_0O, R_ALL,
 371    FE_INVALID | FE_INVALID_SNAN, 0,P_O,P_O },
 372   {__LINE__,B_ADD, 0,P_Z,P_Z, 0,P_O,P_11Z, R_ALL,0, 0,P_O,P_11Z },
 373   {__LINE__,B_ADD, 0,P_O,P_001Z, 0,P_O,P_001Z, R_ALL,
 374    FE_INVALID | FE_INVALID_SNAN, 0,P_O,P_101Z },
 375   {__LINE__,B_ADD, 0,P_O,P_1Z, 0,P_Z,P_Z, R_ALL,0, 0,P_O,P_1Z },
 376   {__LINE__,B_ADD, 0,P_0O,P_Z, 0,P_O,P_10O, R_ALL,0, 0,P_O,P_10O },
 377
 378   /* Additions with infinity.  */
 379   {__LINE__,B_ADD, 0,P_O,P_Z, 0,P_Z,P_Z, R_ALL,0, 0,P_O,P_Z },
 380   {__LINE__,B_ADD, 0,P_O,P_Z, 1,P_Z,P_Z, R_ALL,0, 0,P_O,P_Z },
 381   {__LINE__,B_ADD, 1,P_O,P_Z, 0,P_Z,P_Z, R_ALL,0, 1,P_O,P_Z },
 382   {__LINE__,B_ADD, 1,P_O,P_Z, 1,P_Z,P_Z, R_ALL,0, 1,P_O,P_Z },
 383   {__LINE__,B_ADD, 0,P_O,P_Z, 0,P_O,P_Z, R_ALL,0, 0,P_O,P_Z },
 384   {__LINE__,B_ADD, 1,P_O,P_Z, 1,P_O,P_Z, R_ALL,0, 1,P_O,P_Z },
 385   {__LINE__,B_ADD, 0,P_O,P_Z, 1,P_O,P_Z, R_ALL,
 386    FE_INVALID | FE_INVALID_ISI, 0,P_O,P_1Z },
 387   {__LINE__,B_ADD, 1,P_O,P_Z, 0,P_O,P_Z, R_ALL,
 388    FE_INVALID | FE_INVALID_ISI, 0,P_O,P_1Z },
 389   {__LINE__,B_ADD, 0,P_O,P_Z, 0,P_0O,P_Z, R_ALL,0, 0,P_O,P_Z },
 390   {__LINE__,B_ADD, 1,P_O,P_Z, 0,P_0O,P_Z, R_ALL,0, 1,P_O,P_Z },
 391   {__LINE__,B_ADD, 0,P_O,P_Z, 1,P_0O,P_Z, R_ALL,0, 0,P_O,P_Z },
 392   {__LINE__,B_ADD, 1,P_O,P_Z, 1,P_0O,P_Z, R_ALL,0, 1,P_O,P_Z },
 393
 394   /* Overflow (and zero).  */
 395   {__LINE__,B_ADD, 0,P_O0,P_Z, 0,P_O0,P_Z, R_NEAREST | R_UP,
 396    FE_INEXACT | FE_OVERFLOW, 0,P_O,P_Z },
 397   {__LINE__,B_ADD, 0,P_O0,P_Z, 0,P_O0,P_Z, R_ZERO | R_DOWN,
 398    FE_INEXACT | FE_OVERFLOW, 0,P_O0,P_O },
 399   {__LINE__,B_ADD, 1,P_O0,P_Z, 1,P_O0,P_Z, R_NEAREST | R_DOWN,
 400    FE_INEXACT | FE_OVERFLOW, 1,P_O,P_Z },
 401   {__LINE__,B_ADD, 1,P_O0,P_Z, 1,P_O0,P_Z, R_ZERO | R_UP,
 402    FE_INEXACT | FE_OVERFLOW, 1,P_O0,P_O },
 403   {__LINE__,B_ADD, 0,P_O0,P_Z, 1,P_O0,P_Z, R_ALL & ~R_DOWN,
 404    0, 0,P_Z,P_Z },
 405   {__LINE__,B_ADD, 0,P_O0,P_Z, 1,P_O0,P_Z, R_DOWN,
 406    0, 1,P_Z,P_Z },
 407
 408   /* Negation.  */
 409   {__LINE__,B_NEG, 0,P_Z,P_Z,   0,0,0, R_ALL, 0, 1,P_Z,P_Z },
 410   {__LINE__,B_NEG, 1,P_Z,P_Z,   0,0,0, R_ALL, 0, 0,P_Z,P_Z },
 411   {__LINE__,B_NEG, 0,P_O,P_Z,   0,0,0, R_ALL, 0, 1,P_O,P_Z },
 412   {__LINE__,B_NEG, 1,P_O,P_Z,   0,0,0, R_ALL, 0, 0,P_O,P_Z },
 413   {__LINE__,B_NEG, 0,P_O,P_1Z,  0,0,0, R_ALL, 0, 1,P_O,P_1Z },
 414   {__LINE__,B_NEG, 1,P_O,P_1Z,  0,0,0, R_ALL, 0, 0,P_O,P_1Z },
 415   {__LINE__,B_NEG, 0,P_O,P_01Z, 0,0,0, R_ALL, 0, 1,P_O,P_01Z },
 416   {__LINE__,B_NEG, 1,P_O,P_01Z, 0,0,0, R_ALL, 0, 0,P_O,P_01Z },
 417   {__LINE__,B_NEG, 0,P_1Z,P_1Z1, 0,0,0, R_ALL, 0, 1,P_1Z,P_1Z1 },
 418   {__LINE__,B_NEG, 1,P_1Z,P_1Z1, 0,0,0, R_ALL, 0, 0,P_1Z,P_1Z1 },
 419   {__LINE__,B_NEG, 0,P_Z,P_Z1,  0,0,0, R_ALL, 0, 1,P_Z,P_Z1 },
 420   {__LINE__,B_NEG, 1,P_Z,P_Z1,  0,0,0, R_ALL, 0, 0,P_Z,P_Z1 },
 421
 422   /* Absolute value.  */
 423   {__LINE__,B_ABS, 0,P_Z,P_Z,   0,0,0, R_ALL, 0, 0,P_Z,P_Z },
 424   {__LINE__,B_ABS, 1,P_Z,P_Z,   0,0,0, R_ALL, 0, 0,P_Z,P_Z },
 425   {__LINE__,B_ABS, 0,P_O,P_Z,   0,0,0, R_ALL, 0, 0,P_O,P_Z },
 426   {__LINE__,B_ABS, 1,P_O,P_Z,   0,0,0, R_ALL, 0, 0,P_O,P_Z },
 427   {__LINE__,B_ABS, 0,P_O,P_1Z,  0,0,0, R_ALL, 0, 0,P_O,P_1Z },
 428   {__LINE__,B_ABS, 1,P_O,P_1Z,  0,0,0, R_ALL, 0, 0,P_O,P_1Z },
 429   {__LINE__,B_ABS, 0,P_O,P_01Z, 0,0,0, R_ALL, 0, 0,P_O,P_01Z },
 430   {__LINE__,B_ABS, 1,P_O,P_01Z, 0,0,0, R_ALL, 0, 0,P_O,P_01Z },
 431   {__LINE__,B_ABS, 0,P_1Z,P_1Z1, 0,0,0, R_ALL, 0, 0,P_1Z,P_1Z1 },
 432   {__LINE__,B_ABS, 1,P_1Z,P_1Z1, 0,0,0, R_ALL, 0, 0,P_1Z,P_1Z1 },
 433   {__LINE__,B_ABS, 0,P_Z,P_Z1,  0,0,0, R_ALL, 0, 0,P_Z,P_Z1 },
 434   {__LINE__,B_ABS, 1,P_Z,P_Z1,  0,0,0, R_ALL, 0, 0,P_Z,P_Z1 },
 435
 436   /* Square root.  */
 437   {__LINE__,B_SQRT, 0,P_Z,P_Z,   0,0,0, R_ALL, 0, 0,P_Z,P_Z },
 438   {__LINE__,B_SQRT, 1,P_Z,P_Z,   0,0,0, R_ALL, 0, 1,P_Z,P_Z },
 439   {__LINE__,B_SQRT, 0,P_O,P_1Z,  0,0,0, R_ALL, 0, 0,P_O,P_1Z },
 440   {__LINE__,B_SQRT, 1,P_O,P_1Z,  0,0,0, R_ALL, 0, 1,P_O,P_1Z },
 441   {__LINE__,B_SQRT, 0,P_O,P_01Z, 0,0,0, R_ALL,
 442    FE_INVALID | FE_INVALID_SNAN, 0,P_O,P_11Z },
 443   {__LINE__,B_SQRT, 1,P_O,P_01Z, 0,0,0, R_ALL,
 444    FE_INVALID | FE_INVALID_SNAN, 1,P_O,P_11Z },
 445
 446   {__LINE__,B_SQRT, 0,P_O,P_Z,   0,0,0, R_ALL, 0, 0,P_O,P_Z },
 447   {__LINE__,B_SQRT, 0,P_0O,P_Z,  0,0,0, R_ALL, 0, 0,P_0O,P_Z },
 448
 449   {__LINE__,B_SQRT, 1,P_O,P_Z,   0,0,0, R_ALL,
 450    FE_INVALID | FE_INVALID_SQRT, 0,P_O,P_1Z },
 451   {__LINE__,B_SQRT, 1,P_1Z,P_1Z1, 0,0,0, R_ALL,
 452    FE_INVALID | FE_INVALID_SQRT, 0,P_O,P_1Z },
 453   {__LINE__,B_SQRT, 1,P_Z,P_Z1,  0,0,0, R_ALL,
 454    FE_INVALID | FE_INVALID_SQRT, 0,P_O,P_1Z },
 455
 456 };
 457
 458 static void
 459 check_op(void)
 460 {
 461   size_t i;
 462   int j;
 463   tocheck_t r, a, b, x;
 464   int raised;
 465
 466   for (i = 0; i < sizeof(optests)/sizeof(optests[0]); i++)
 467     {
 468       a = pattern(optests[i].a_sgn, optests[i].a_exp,
 469                   optests[i].a_mant);
 470       b = pattern(optests[i].b_sgn, optests[i].b_exp,
 471                   optests[i].b_mant);
 472       x = pattern(optests[i].x_sgn, optests[i].x_exp,
 473                   optests[i].x_mant);
 474       for (j = 0; j < 4; j++)
 475         if (optests[i].rmode & 1<<j)
 476           {
 477             fesetenv(rmodes+j);
 478             switch (optests[i].op)
 479               {
 480               case B_ADD: r = a + b; break;
 481               case B_SUB: r = a - b; break;
 482               case B_MUL: r = a * b; break;
 483               case B_DIV: r = a / b; break;
 484               case B_NEG: r = -a; break;
 485               case B_ABS: r = FUNC(fabs)(a); break;
 486               case B_SQRT: r = FUNC(sqrt)(a); break;
 487               }
 488             raised = fetestexcept(all_exceptions);
 489             check_result(optests[i].line,rmnames[j],x,r);
 490             check_excepts(optests[i].line,rmnames[j],
 491                           optests[i].excepts,raised);
 492           }
 493     }
 494 }
 495
 496 static void
 497 fail_xr(int line, const char *rm, tocheck_t x, tocheck_t r, tocheck_t xx,
 498         int xflag)
 499 {
 500   size_t i;
 501   unsigned char *cx, *cr, *cxx;
 502
 503   printf("%s:%d:round %s:fail\n with x=0x", __FILE__, line,rm);
 504   cx = (unsigned char *)&x;
 505   cr = (unsigned char *)&r;
 506   cxx = (unsigned char *)&xx;
 507   for (i = 0; i < sizeof(tocheck_t); i++)
 508     printf("%02x", cx[i]);
 509   printf(" r=0x");
 510   for (i = 0; i < sizeof(tocheck_t); i++)
 511     printf("%02x", cr[i]);
 512   printf(" xx=0x");
 513   for (i = 0; i < sizeof(tocheck_t); i++)
 514     printf("%02x", cxx[i]);
 515   printf(" inexact=%d\n", xflag != 0);
 516   nerrors++;
 517 }
 518
 519 static void
 520 check_sqrt(tocheck_t a)
 521 {
 522   int j;
 523   tocheck_t r0, r1, r2, x0, x1, x2;
 524   int raised = 0;
 525   int ok;
 526
 527   for (j = 0; j < 4; j++)
 528     {
 529       int excepts;
 530
 531       fesetenv(rmodes+j);
 532       r1 = FUNC(sqrt)(a);
 533       excepts = fetestexcept(all_exceptions);
 534       fesetenv(FE_DFL_ENV);
 535       raised |= excepts & ~FE_INEXACT;
 536       x1 = r1 * r1 - a;
 537       if (excepts & FE_INEXACT)
 538         {
 539           r0 = delta(r1,-1); r2 = delta(r1,1);
 540           switch (1 << j)
 541             {
 542             case R_NEAREST:
 543               x0 = r0 * r0 - a; x2 = r2 * r2 - a;
 544               ok = fabs(x0) >= fabs(x1) && fabs(x1) <= fabs(x2);
 545               break;
 546             case R_ZERO:  case R_DOWN:
 547               x2 = r2 * r2 - a;
 548               ok = x1 <= 0 && x2 >= 0;
 549               break;
 550             case R_UP:
 551               x0 = r0 * r0 - a;
 552               ok = x1 >= 0 && x0 <= 0;
 553               break;
 554             default:
 555               assert(0);
 556             }
 557         }
 558       else
 559         ok = x1 == 0;
 560       if (!ok)
 561         fail_xr(__LINE__,rmnames[j],a,r1,x1,excepts&FE_INEXACT);
 562     }
 563   check_excepts(__LINE__,"all",0,raised);
 564 }
 565
 566 int main(int argc, char **argv)
 567 {
 568   int i;
 569
 570   _LIB_VERSION = _IEEE_;
 571
 572   /* Set up environments for rounding modes.  */
 573   fesetenv(FE_DFL_ENV);
 574   fesetround(FE_TONEAREST);
 575   fegetenv(rmodes+0);
 576   fesetround(FE_TOWARDZERO);
 577   fegetenv(rmodes+1);
 578   fesetround(FE_UPWARD);
 579   fegetenv(rmodes+2);
 580   fesetround(FE_DOWNWARD);
 581   fegetenv(rmodes+3);
 582
 583 #if defined(FE_INVALID_SOFTWARE) || defined(FE_INVALID_SQRT)
 584   /* There's this really stupid feature of the 601... */
 585   fesetenv(FE_DFL_ENV);
 586   feraiseexcept(FE_INVALID_SOFTWARE);
 587   if (!fetestexcept(FE_INVALID_SOFTWARE))
 588     excepts_missing |= FE_INVALID_SOFTWARE;
 589   fesetenv(FE_DFL_ENV);
 590   feraiseexcept(FE_INVALID_SQRT);
 591   if (!fetestexcept(FE_INVALID_SQRT))
 592     excepts_missing |= FE_INVALID_SQRT;
 593 #endif
 594
 595   check_op();
 596   for (i = 0; i < 100000; i++)
 597     check_sqrt(pattern(0, P_Rno, P_R));
 598   for (i = 0; i < 100; i++)
 599     check_sqrt(pattern(0, P_Z, P_R));
 600   check_sqrt(pattern(0,P_Z,P_Z1));
 601
 602   printf("%d errors.\n", nerrors);
 603   return nerrors == 0 ? 0 : 1;
 604 }