1/* Test file for exceptions. 2 3Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software Foundation, Inc. 4Contributed by the Arenaire and Cacao projects, INRIA. 5 6This file is part of the GNU MPFR Library. 7 8The GNU MPFR Library is free software; you can redistribute it and/or modify 9it under the terms of the GNU Lesser General Public License as published by 10the Free Software Foundation; either version 3 of the License, or (at your 11option) any later version. 12 13The GNU MPFR Library is distributed in the hope that it will be useful, but 14WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY 15or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public 16License for more details. 17 18You should have received a copy of the GNU Lesser General Public License 19along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see 20http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 2151 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ 22 23#include <stdio.h> 24#include <stdlib.h> 25 26#include "mpfr-test.h" 27 28#define ERROR(s) do { printf(s"\n"); exit(1); } while(0) 29 30/* Test powerof2 */ 31static void 32check_powerof2 (void) 33{ 34 mpfr_t x; 35 36 mpfr_init (x); 37 mpfr_set_ui (x, 1, MPFR_RNDN); 38 MPFR_ASSERTN (mpfr_powerof2_raw (x)); 39 mpfr_set_ui (x, 3, MPFR_RNDN); 40 MPFR_ASSERTN (!mpfr_powerof2_raw (x)); 41 mpfr_clear (x); 42} 43 44/* Test default rounding mode */ 45static void 46check_default_rnd (void) 47{ 48 int r; 49 mpfr_rnd_t t; 50 for(r = 0 ; r < MPFR_RND_MAX ; r++) 51 { 52 mpfr_set_default_rounding_mode ((mpfr_rnd_t) r); 53 t = (mpfr_get_default_rounding_mode) (); 54 if ((mpfr_rnd_t) r != t) 55 { 56 printf ("%s %s\n", mpfr_print_rnd_mode ((mpfr_rnd_t) r), 57 mpfr_print_rnd_mode (t)); 58 ERROR("ERROR in setting / getting default rounding mode (1)"); 59 } 60 } 61 mpfr_set_default_rounding_mode ((mpfr_rnd_t) MPFR_RND_MAX); 62 if (mpfr_get_default_rounding_mode() != MPFR_RNDA) 63 ERROR("ERROR in setting / getting default rounding mode (2)"); 64 mpfr_set_default_rounding_mode((mpfr_rnd_t) -1); 65 if (mpfr_get_default_rounding_mode() != MPFR_RNDA) 66 ERROR("ERROR in setting / getting default rounding mode (3)"); 67} 68 69static void 70check_emin_emax (void) 71{ 72 mpfr_exp_t old_emin, old_emax; 73 74 old_emin = mpfr_get_emin (); 75 old_emax = mpfr_get_emax (); 76 77 /* Check the functions not the macros ! */ 78 if ((mpfr_set_emin)(MPFR_EMIN_MIN) != 0) 79 ERROR("set_emin failed!"); 80 if ((mpfr_get_emin)() != MPFR_EMIN_MIN) 81 ERROR("get_emin FAILED!"); 82 if ((mpfr_set_emin)(MPFR_EMIN_MIN-1) == 0) 83 ERROR("set_emin failed! (2)"); 84 85 if ((mpfr_set_emax)(MPFR_EMAX_MAX) != 0) 86 ERROR("set_emax failed!"); 87 if ((mpfr_get_emax)() != MPFR_EMAX_MAX) 88 ERROR("get_emax FAILED!"); 89 if ((mpfr_set_emax)(MPFR_EMAX_MAX+1) == 0) 90 ERROR("set_emax failed! (2)"); 91 92 if ((mpfr_get_emin_min) () != MPFR_EMIN_MIN) 93 ERROR ("get_emin_min"); 94 if ((mpfr_get_emin_max) () != MPFR_EMIN_MAX) 95 ERROR ("get_emin_max"); 96 if ((mpfr_get_emax_min) () != MPFR_EMAX_MIN) 97 ERROR ("get_emax_min"); 98 if ((mpfr_get_emax_max) () != MPFR_EMAX_MAX) 99 ERROR ("get_emax_max"); 100 101 set_emin (old_emin); 102 set_emax (old_emax); 103} 104 105static void 106check_set_get_prec (void) 107{ 108 mpfr_t x; 109 110 mpfr_init2 (x, 17); 111 if (mpfr_get_prec (x) != 17 || (mpfr_get_prec)(x) != 17) 112 ERROR ("mpfr_get_prec"); 113 mpfr_clear (x); 114} 115 116static void 117mpfr_set_double_range (void) 118{ 119 mpfr_set_default_prec (54); 120 if (mpfr_get_default_prec () != 54) 121 ERROR ("get_default_prec failed (1)"); 122 mpfr_set_default_prec (53); 123 if ((mpfr_get_default_prec) () != 53) 124 ERROR ("get_default_prec failed (2)"); 125 126 /* in double precision format, the unbiased exponent is between 0 and 127 2047, where 0 is used for subnormal numbers, and 2047 for special 128 numbers (infinities, NaN), and the bias is 1023, thus "normal" numbers 129 have an exponent between -1022 and 1023, corresponding to numbers 130 between 2^(-1022) and previous(2^(1024)). 131 (The smallest subnormal number is 0.(0^51)1*2^(-1022)= 2^(-1074).) 132 133 The smallest normal power of two is 1.0*2^(-1022). 134 The largest normal power of two is 2^1023. 135 (We have to add one for mpfr since mantissa are between 1/2 and 1.) 136 */ 137 138 set_emin (-1021); 139 set_emax (1024); 140} 141 142static void 143check_flags (void) 144{ 145 mpfr_t x; 146 mpfr_exp_t old_emin, old_emax; 147 148 old_emin = mpfr_get_emin (); 149 old_emax = mpfr_get_emax (); 150 mpfr_init (x); 151 152 /* Check the functions not the macros ! */ 153 (mpfr_clear_flags)(); 154 mpfr_set_double_range (); 155 156 mpfr_set_ui (x, 1, MPFR_RNDN); 157 (mpfr_clear_overflow)(); 158 mpfr_mul_2exp (x, x, 1024, MPFR_RNDN); 159 if (!(mpfr_overflow_p)()) 160 ERROR("ERROR: No overflow detected!\n"); 161 162 (mpfr_clear_underflow)(); 163 mpfr_set_ui (x, 1, MPFR_RNDN); 164 mpfr_div_2exp (x, x, 1025, MPFR_RNDN); 165 if (!(mpfr_underflow_p)()) 166 ERROR("ERROR: No underflow detected!\n"); 167 168 (mpfr_clear_nanflag)(); 169 MPFR_SET_NAN(x); 170 mpfr_add (x, x, x, MPFR_RNDN); 171 if (!(mpfr_nanflag_p)()) 172 ERROR("ERROR: No NaN flag!\n"); 173 174 (mpfr_clear_inexflag)(); 175 mpfr_set_ui(x, 2, MPFR_RNDN); 176 mpfr_cos(x, x, MPFR_RNDN); 177 if (!(mpfr_inexflag_p)()) 178 ERROR("ERROR: No inexact flag!\n"); 179 180 (mpfr_clear_erangeflag) (); 181 mpfr_set_ui (x, 1, MPFR_RNDN); 182 mpfr_mul_2exp (x, x, 1024, MPFR_RNDN); 183 mpfr_get_ui (x, MPFR_RNDN); 184 if (!(mpfr_erangeflag_p)()) 185 ERROR ("ERROR: No erange flag!\n"); 186 187 mpfr_clear (x); 188 set_emin (old_emin); 189 set_emax (old_emax); 190} 191 192static void 193test_set_underflow (void) 194{ 195 mpfr_t x, zero, min; 196 mpfr_ptr r[MPFR_RND_MAX]; 197 int t[MPFR_RND_MAX] = { 1, -1, 1, -1, 1 }; /* RNDN, RNDZ, RNDU, RNDD, RNDA */ 198 int i; 199 int s; 200 201 mpfr_inits (x, zero, min, (mpfr_ptr) 0); 202 mpfr_set_ui (zero, 0, MPFR_RNDN); 203 mpfr_set_ui (min, 0, MPFR_RNDN); 204 mpfr_nextabove (min); 205 r[0] = r[2] = r[4] = min; /* RNDN, RNDU, RNDA */ 206 r[1] = r[3] = zero; /* RNDZ, RNDD */ 207 for (s = 1; s > 0; s = -1) 208 { 209 for (i = 0; i < MPFR_RND_MAX ; i++) 210 { 211 int j; 212 int inex; 213 214 j = s < 0 && i > 1 ? 5 - i : i; 215 inex = mpfr_underflow (x, (mpfr_rnd_t) i, s); 216 if (mpfr_cmp (x, r[j]) || inex * t[j] <= 0) 217 { 218 printf ("Error in test_set_underflow, sign = %d," 219 " rnd_mode = %s\n", s, mpfr_print_rnd_mode ((mpfr_rnd_t) i)); 220 printf ("Got\n"); 221 mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); 222 printf (", inex = %d\ninstead of\n", inex); 223 mpfr_out_str (stdout, 2, 0, r[j], MPFR_RNDN); 224 printf (", inex = %d\n", t[j]); 225 exit (1); 226 } 227 } 228 mpfr_neg (zero, zero, MPFR_RNDN); 229 mpfr_neg (min, min, MPFR_RNDN); 230 } 231 mpfr_clears (x, zero, min, (mpfr_ptr) 0); 232} 233 234static void 235test_set_overflow (void) 236{ 237 mpfr_t x, inf, max; 238 mpfr_ptr r[MPFR_RND_MAX]; 239 int t[MPFR_RND_MAX] = { 1, -1, 1, -1, 1 }; /* RNDN, RNDZ, RNDU, RNDD, RNDA */ 240 int i; 241 int s; 242 243 mpfr_inits2 (32, x, inf, max, (mpfr_ptr) 0); 244 mpfr_set_inf (inf, 1); 245 mpfr_set_inf (max, 1); 246 mpfr_nextbelow (max); 247 r[0] = r[2] = r[4] = inf; /* RNDN, RNDU, RNDA */ 248 r[1] = r[3] = max; /* RNDZ, RNDD */ 249 for (s = 1; s > 0; s = -1) 250 { 251 for (i = 0; i < MPFR_RND_MAX ; i++) 252 { 253 int j; 254 int inex; 255 256 j = s < 0 && i > 1 ? 5 - i : i; 257 inex = mpfr_overflow (x, (mpfr_rnd_t) i, s); 258 if (mpfr_cmp (x, r[j]) || inex * t[j] <= 0) 259 { 260 printf ("Error in test_set_overflow, sign = %d," 261 " rnd_mode = %s\n", s, mpfr_print_rnd_mode ((mpfr_rnd_t) i)); 262 printf ("Got\n"); 263 mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); 264 printf (", inex = %d\ninstead of\n", inex); 265 mpfr_out_str (stdout, 2, 0, r[j], MPFR_RNDN); 266 printf (", inex = %d\n", t[j]); 267 exit (1); 268 } 269 } 270 mpfr_neg (inf, inf, MPFR_RNDN); 271 mpfr_neg (max, max, MPFR_RNDN); 272 } 273 mpfr_clears (x, inf, max, (mpfr_ptr) 0); 274} 275 276static void 277check_set (void) 278{ 279 mpfr_clear_flags (); 280 281 mpfr_set_overflow (); 282 MPFR_ASSERTN ((mpfr_overflow_p) ()); 283 mpfr_set_underflow (); 284 MPFR_ASSERTN ((mpfr_underflow_p) ()); 285 mpfr_set_nanflag (); 286 MPFR_ASSERTN ((mpfr_nanflag_p) ()); 287 mpfr_set_inexflag (); 288 MPFR_ASSERTN ((mpfr_inexflag_p) ()); 289 mpfr_set_erangeflag (); 290 MPFR_ASSERTN ((mpfr_erangeflag_p) ()); 291 292 mpfr_clear_flags (); 293} 294 295int 296main (int argc, char *argv[]) 297{ 298 mpfr_t x, y; 299 mpfr_exp_t emin, emax; 300 301 tests_start_mpfr (); 302 303 test_set_underflow (); 304 test_set_overflow (); 305 check_default_rnd(); 306 307 mpfr_init (x); 308 mpfr_init (y); 309 310 emin = mpfr_get_emin (); 311 emax = mpfr_get_emax (); 312 if (emin >= emax) 313 { 314 printf ("Error: emin >= emax\n"); 315 exit (1); 316 } 317 318 mpfr_set_ui (x, 1, MPFR_RNDN); 319 mpfr_mul_2exp (x, x, 1024, MPFR_RNDN); 320 mpfr_set_double_range (); 321 mpfr_check_range (x, 0, MPFR_RNDN); 322 if (!mpfr_inf_p (x) || (mpfr_sgn(x) <= 0)) 323 { 324 printf ("Error: 2^1024 rounded to nearest should give +Inf\n"); 325 exit (1); 326 } 327 328 set_emax (1025); 329 mpfr_set_ui (x, 1, MPFR_RNDN); 330 mpfr_mul_2exp (x, x, 1024, MPFR_RNDN); 331 mpfr_set_double_range (); 332 mpfr_check_range (x, 0, MPFR_RNDD); 333 if (!mpfr_number_p (x)) 334 { 335 printf ("Error: 2^1024 rounded down should give a normal number\n"); 336 exit (1); 337 } 338 339 mpfr_set_ui (x, 1, MPFR_RNDN); 340 mpfr_mul_2exp (x, x, 1023, MPFR_RNDN); 341 mpfr_add (x, x, x, MPFR_RNDN); 342 if (!mpfr_inf_p (x) || (mpfr_sgn(x) <= 0)) 343 { 344 printf ("Error: x+x rounded to nearest for x=2^1023 should give +Inf\n"); 345 printf ("emax = %ld\n", mpfr_get_emax ()); 346 printf ("got "); mpfr_print_binary (x); puts (""); 347 exit (1); 348 } 349 350 mpfr_set_ui (x, 1, MPFR_RNDN); 351 mpfr_mul_2exp (x, x, 1023, MPFR_RNDN); 352 mpfr_add (x, x, x, MPFR_RNDD); 353 if (!mpfr_number_p (x)) 354 { 355 printf ("Error: x+x rounded down for x=2^1023 should give" 356 " a normal number\n"); 357 exit (1); 358 } 359 360 mpfr_set_ui (x, 1, MPFR_RNDN); 361 mpfr_div_2exp (x, x, 1022, MPFR_RNDN); 362 mpfr_set_str_binary (y, "1.1e-1022"); /* y = 3/2*x */ 363 mpfr_sub (y, y, x, MPFR_RNDZ); 364 if (mpfr_cmp_ui (y, 0)) 365 { 366 printf ("Error: y-x rounded to zero should give 0" 367 " for y=3/2*2^(-1022), x=2^(-1022)\n"); 368 printf ("y="); mpfr_print_binary (y); puts (""); 369 exit (1); 370 } 371 372 set_emin (-1026); 373 mpfr_set_ui (x, 1, MPFR_RNDN); 374 mpfr_div_2exp (x, x, 1025, MPFR_RNDN); 375 mpfr_set_double_range (); 376 mpfr_check_range (x, 0, MPFR_RNDN); 377 if (!MPFR_IS_ZERO (x) ) 378 { 379 printf ("Error: x rounded to nearest for x=2^-1024 should give Zero\n"); 380 printf ("emin = %ld\n", mpfr_get_emin ()); 381 printf ("got "); mpfr_dump (x); 382 exit (1); 383 } 384 385 mpfr_clear (x); 386 mpfr_clear (y); 387 388 set_emin (emin); 389 set_emax (emax); 390 391 check_emin_emax(); 392 check_flags(); 393 check_set_get_prec (); 394 check_powerof2 (); 395 check_set (); 396 397 tests_end_mpfr (); 398 return 0; 399} 400