1/* Test file for mpfr_mul_ui. 2 3Copyright 1999, 2000, 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 28static void 29check_inexact (mpfr_prec_t p) 30{ 31 mpfr_t x, y, z; 32 unsigned long u; 33 mpfr_prec_t q; 34 int inexact, cmp; 35 int rnd; 36 37 mpfr_init2 (x, p); 38 mpfr_init (y); 39 mpfr_init2 (z, p + mp_bits_per_limb); 40 mpfr_urandomb (x, RANDS); 41 u = randlimb (); 42 if (mpfr_mul_ui (z, x, u, MPFR_RNDN)) 43 { 44 printf ("Error: result should be exact\n"); 45 exit (1); 46 } 47 48 for (q = 2; q <= p; q++) 49 for (rnd = 0; rnd < MPFR_RND_MAX; rnd++) 50 { 51 mpfr_set_prec (y, q); 52 inexact = mpfr_mul_ui (y, x, u, (mpfr_rnd_t) rnd); 53 cmp = mpfr_cmp (y, z); 54 if (((inexact == 0) && (cmp != 0)) || 55 ((inexact < 0) && (cmp >= 0)) || 56 ((inexact > 0) && (cmp <= 0))) 57 { 58 printf ("Wrong inexact flag for p=%u, q=%u, rnd=%s\n", 59 (unsigned int) p, (unsigned int) q, 60 mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); 61 exit (1); 62 } 63 } 64 65 mpfr_set_prec (x, 2); 66 mpfr_set_ui (x, 1, MPFR_RNDN); 67 if (mpfr_mul_ui (x, x, 5, MPFR_RNDZ) == 0) 68 { 69 printf ("mul_ui(1, 5) cannot be exact with prec=2\n"); 70 exit (1); 71 } 72 73 mpfr_clear (x); 74 mpfr_clear (y); 75 mpfr_clear (z); 76} 77 78#define TEST_FUNCTION mpfr_mul_ui 79#define INTEGER_TYPE unsigned long 80#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 1, RANDS) 81#include "tgeneric_ui.c" 82 83int 84main (int argc, char *argv[]) 85{ 86 mpfr_t x, y; 87 unsigned int xprec, yprec, i; 88 mpfr_prec_t p; 89 mpfr_exp_t emax; 90 91 tests_start_mpfr (); 92 93 for (p=2; p<100; p++) 94 for (i=1; i<50; i++) 95 check_inexact (p); 96 97 mpfr_init2 (x, 53); 98 mpfr_init2 (y, 53); 99 100 /* checks that result is normalized */ 101 mpfr_set_str (y, "6.93147180559945286227e-01", 10, MPFR_RNDZ); 102 mpfr_mul_ui (x, y, 1, MPFR_RNDZ); 103 if (MPFR_MANT(x)[MPFR_PREC(x)/mp_bits_per_limb] >> (mp_bits_per_limb-1) == 0) 104 { 105 printf ("Error in mpfr_mul_ui: result not normalized\n"); 106 exit (1); 107 } 108 if (mpfr_cmp (x, y)) 109 { 110 printf ("Error in mpfr_mul_ui: 1*y != y\n"); 111 printf ("y= "); mpfr_print_binary (y); puts (""); 112 printf ("1*y="); mpfr_print_binary (x); puts (""); 113 exit (1); 114 } 115 116 mpfr_set_inf (x, 1); 117 mpfr_mul_ui (x, x, 3, MPFR_RNDU); 118 if (!mpfr_inf_p (x) || (mpfr_sgn (x) <= 0)) 119 { 120 printf ("Error in mpfr_mul_ui: +Inf*3 does not give +Inf\n"); 121 exit (1); 122 } 123 124 mpfr_set_inf (x, -1); 125 mpfr_mul_ui (x, x, 3, MPFR_RNDU); 126 if (!mpfr_inf_p (x) || (mpfr_sgn (x) >= 0)) 127 { 128 printf ("Error in mpfr_mul_ui: -Inf*3 does not give -Inf\n"); 129 exit (1); 130 } 131 132 mpfr_set_nan (x); 133 mpfr_mul_ui (x, x, 3, MPFR_RNDU); 134 if (!mpfr_nan_p(x)) 135 { 136 printf ("Error in mpfr_mul_ui: NaN*3 does not give NaN\n"); 137 exit (1); 138 } 139 140 mpfr_set_inf (x, 1); 141 mpfr_mul_ui (x, x, 0, MPFR_RNDU); 142 MPFR_ASSERTN(mpfr_nan_p (x)); 143 144 mpfr_set_ui (x, 1, MPFR_RNDU); 145 mpfr_mul_ui (x, x, 0, MPFR_RNDU); 146 MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS(x)); 147 148 emax = mpfr_get_emax (); 149 set_emax (0); 150 mpfr_set_str_binary (x, "0.1E0"); 151 mpfr_mul_ui (x, x, 2, MPFR_RNDN); 152 MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x)); 153 set_emax (emax); 154 155 mpfr_set_str (x, /*1.0/3.0*/ 156 "0.333333333333333333333333333333333", 10, MPFR_RNDZ); 157 mpfr_mul_ui (x, x, 3, MPFR_RNDU); 158 if (mpfr_cmp_ui (x, 1)) 159 { 160 printf ("Error in mpfr_mul_ui: U(Z(1/3)*3) does not give 1\n"); 161 exit (1); 162 } 163 164 /* checks sign is correct */ 165 mpfr_set_si (x, -2, MPFR_RNDZ); 166 mpfr_set_si (y, 3, MPFR_RNDZ); 167 mpfr_mul_ui(x, y, 4, MPFR_RNDZ); 168 if (mpfr_cmp_ui(x, 0) <= 0) 169 { 170 printf("Error in mpfr_mul_ui: 4*3.0 does not give a positive result:\n"); 171 mpfr_print_binary(x); puts (""); 172 printf("mpfr_cmp_ui(x, 0) = %d\n", mpfr_cmp_ui(x, 0)); 173 exit(1); 174 } 175 176 mpfr_set_prec (x, 9); 177 mpfr_set_prec (y, 9); 178 mpfr_set_str_binary (y, "0.100001111E9"); /* 271 */ 179 mpfr_mul_ui (x, y, 1335, MPFR_RNDN); 180 mpfr_set_str_binary (y, "0.101100001E19"); /* 361472 */ 181 if (mpfr_cmp (x, y)) 182 { 183 printf ("Error in mul_ui for 1335*(0.100001111E9)\n"); 184 printf ("got "); mpfr_print_binary (x); puts (""); 185 exit(1); 186 } 187 188 mpfr_set_prec(y, 100); 189 mpfr_set_prec(x, 100); 190 /* y = 1199781142214086656 */ 191 mpfr_set_str_binary(y, "0.1000010100110011110101001011110010101111000100001E61"); 192 mpfr_mul_ui(x, y, 121, MPFR_RNDD); 193 /* 121*y = 145173518207904485376, representable exactly */ 194 mpfr_set_str_binary(y, "0.1111101111010101111111100011010010111010111110110011001E67"); 195 if (mpfr_cmp(x, y)) 196 { 197 printf("Error for 121*y: expected result is:\n"); 198 mpfr_print_binary(y); puts (""); 199 } 200 201 mpfr_set_prec (x, 32); 202 mpfr_set_str_binary (x, "0.10000000000000000000000000000000E1"); 203 mpfr_set_prec (y, 93); 204 mpfr_mul_ui (y, x, 1, MPFR_RNDN); 205 206 mpfr_set_prec (x, 287); 207 mpfr_set_str_binary (x, "0.1111E7"); 208 mpfr_set_prec (y, 289); 209 mpfr_mul_ui (y, x, 6, MPFR_RNDN); 210 mpfr_set_str_binary (x, "0.101101E10"); 211 if (mpfr_cmp (x, y)) 212 { 213 printf ("Error for 6 * 120\n"); 214 exit (1); 215 } 216 217 mpfr_set_prec (x, 68); 218 mpfr_set_prec (y, 64); 219 mpfr_set_str (x, "2143861251406875.0", 10, MPFR_RNDN); 220 mpfr_mul_ui (y, x, 23, MPFR_RNDN); 221 mpfr_set_str_binary (x, "10101111001011100001100110101111110001010010011001101101.0"); 222 if (mpfr_cmp (x, y)) 223 { 224 printf ("Error for 23 * 2143861251406875.0\n"); 225 printf ("expected "); mpfr_print_binary (x); puts (""); 226 printf ("got "); mpfr_print_binary (y); puts (""); 227 exit (1); 228 } 229 230 231 for (xprec = 53; xprec <= 128; xprec++) 232 { 233 mpfr_set_prec (x, xprec); 234 mpfr_set_str_binary (x, "0.1100100100001111110011111000000011011100001100110111E2"); 235 for (yprec = 53; yprec <= 128; yprec++) 236 { 237 mpfr_set_prec (y, yprec); 238 mpfr_mul_ui (y, x, 1, MPFR_RNDN); 239 if (mpfr_cmp(x,y)) 240 { 241 printf ("multiplication by 1.0 fails for xprec=%u, yprec=%u\n", 242 xprec, yprec); 243 printf ("expected "); mpfr_print_binary (x); puts (""); 244 printf ("got "); mpfr_print_binary (y); puts (""); 245 exit (1); 246 } 247 } 248 } 249 250 mpfr_set_prec (x, 128); 251 mpfr_set_ui (x, 17, MPFR_RNDN); 252 mpfr_mul_ui (x, x, ULONG_HIGHBIT, MPFR_RNDN); 253 mpfr_set_prec (y, 128); 254 mpfr_set_ui (y, ULONG_HIGHBIT, MPFR_RNDN); 255 mpfr_mul_ui (y, y, 17, MPFR_RNDN); 256 if (mpfr_cmp (x, y)) 257 { 258 printf ("Error for 17 * ULONG_HIGHBIT\n"); 259 exit (1); 260 } 261 262 /* Check regression */ 263 mpfr_set_prec (x, 32); 264 mpfr_set_prec (y, 96); 265 mpfr_set_ui (x, 1742175942, MPFR_RNDN); 266 mpfr_mul_ui (y, x, 59, MPFR_RNDN); 267 if (mpfr_cmp_str (y, "0.10111111011101010101000110111101000100000000000000" 268 "0000000000000000000000000000000000000000000000E37", 269 2, MPFR_RNDN)) 270 { 271 printf ("Regression tested failed for x=1742175942 * 59\n"); 272 exit (1); 273 } 274 275 mpfr_clear(x); 276 mpfr_clear(y); 277 278 test_generic_ui (2, 500, 100); 279 280 tests_end_mpfr (); 281 return 0; 282} 283