| OLD | NEW |
| (Empty) |
| 1 /* Test file for mpfr_ui_pow and mpfr_ui_pow_ui. | |
| 2 | |
| 3 Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Fou
ndation, Inc. | |
| 4 Contributed by the Arenaire and Cacao projects, INRIA. | |
| 5 | |
| 6 This file is part of the GNU MPFR Library. | |
| 7 | |
| 8 The GNU MPFR Library is free software; you can redistribute it and/or modify | |
| 9 it under the terms of the GNU Lesser General Public License as published by | |
| 10 the Free Software Foundation; either version 2.1 of the License, or (at your | |
| 11 option) any later version. | |
| 12 | |
| 13 The GNU MPFR Library is distributed in the hope that it will be useful, but | |
| 14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY | |
| 15 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public | |
| 16 License for more details. | |
| 17 | |
| 18 You should have received a copy of the GNU Lesser General Public License | |
| 19 along with the GNU MPFR Library; see the file COPYING.LIB. If not, write to | |
| 20 the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, | |
| 21 MA 02110-1301, USA. */ | |
| 22 | |
| 23 #include <stdio.h> | |
| 24 #include <stdlib.h> | |
| 25 #include <limits.h> | |
| 26 | |
| 27 #include "mpfr-test.h" | |
| 28 | |
| 29 static void | |
| 30 test1 (void) | |
| 31 { | |
| 32 mpfr_t x, y, z, a; | |
| 33 int res1, res2; | |
| 34 | |
| 35 mpfr_init2 (x, 32); | |
| 36 mpfr_init2 (y, 65); | |
| 37 mpfr_init2 (z, 17); | |
| 38 mpfr_init2 (a, 17); | |
| 39 | |
| 40 mpfr_set_str_binary (x, "-0.101110001001011011011e-9"); | |
| 41 mpfr_ui_pow (y, 7, x, GMP_RNDN); | |
| 42 | |
| 43 mpfr_set_prec (x, 40); | |
| 44 mpfr_set_str_binary (x, "-0.1100101100101111011001010010110011110110E-1"); | |
| 45 mpfr_set_prec (y, 74); | |
| 46 mpfr_ui_pow (y, 8, x, GMP_RNDN); | |
| 47 mpfr_set_prec (x, 74); | |
| 48 mpfr_set_str_binary (x, "0.111000000101001111010000111110110110100110000110001
01011010011010101000011E-1"); | |
| 49 if (mpfr_cmp (x, y)) | |
| 50 { | |
| 51 printf ("Error for input of 40 bits, output of 74 bits\n"); | |
| 52 exit (1); | |
| 53 } | |
| 54 | |
| 55 /* Check for ui_pow_ui */ | |
| 56 mpfr_ui_pow_ui (x, 0, 1, GMP_RNDN); | |
| 57 MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS (x)); | |
| 58 mpfr_ui_pow_ui (x, 0, 4, GMP_RNDN); | |
| 59 MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS (x)); | |
| 60 res1 = mpfr_ui_pow_ui (z, 17, 42, GMP_RNDD); | |
| 61 mpfr_set_ui (x, 17, GMP_RNDN); | |
| 62 mpfr_set_ui (y, 42, GMP_RNDN); | |
| 63 res2 = mpfr_pow (a, x, y, GMP_RNDD); | |
| 64 if (mpfr_cmp (z, a) || res1 != res2) | |
| 65 { | |
| 66 printf ("Error for ui_pow_ui for 17^42\n" | |
| 67 "Inexact1 = %d Inexact2 = %d\n", res1, res2); | |
| 68 mpfr_dump (z); | |
| 69 mpfr_dump (a); | |
| 70 exit (1); | |
| 71 } | |
| 72 mpfr_set_prec (x, 2); | |
| 73 mpfr_ui_pow_ui (x, 65537, 65535, GMP_RNDN); | |
| 74 if (mpfr_cmp_str (x, "0.11E1048562", 2, GMP_RNDN) != 0) | |
| 75 { | |
| 76 printf ("Error for ui_pow_ui for 65537 ^65535 with 2 bits of precision\n")
; | |
| 77 mpfr_dump (x); | |
| 78 exit (1); | |
| 79 } | |
| 80 mpfr_clear (x); | |
| 81 mpfr_clear (y); | |
| 82 mpfr_clear (z); | |
| 83 mpfr_clear (a); | |
| 84 } | |
| 85 | |
| 86 static void | |
| 87 check1 (mpfr_ptr x, mp_prec_t prec, unsigned long nt, mp_rnd_t rnd) | |
| 88 { | |
| 89 mpfr_t y, z, t; | |
| 90 int inexact, compare, compare2; | |
| 91 mp_prec_t yprec; | |
| 92 mp_exp_t err; | |
| 93 | |
| 94 yprec = prec + 10; | |
| 95 | |
| 96 mpfr_init (y); | |
| 97 mpfr_init (z); | |
| 98 mpfr_init (t); | |
| 99 mpfr_set_prec (y, yprec); | |
| 100 mpfr_set_prec (z, prec); | |
| 101 mpfr_set_prec (t, prec); | |
| 102 | |
| 103 compare = mpfr_ui_pow (y, nt, x, rnd); | |
| 104 err = (rnd == GMP_RNDN) ? yprec + 1 : yprec; | |
| 105 if (mpfr_can_round (y, err, rnd, rnd, prec)) | |
| 106 { | |
| 107 mpfr_set (t, y, rnd); | |
| 108 inexact = mpfr_ui_pow (z, nt, x, rnd); | |
| 109 if (mpfr_cmp (t, z)) | |
| 110 { | |
| 111 printf ("results differ for x="); | |
| 112 mpfr_out_str (stdout, 2, prec, x, GMP_RNDN); | |
| 113 printf (" n=%lu", nt); | |
| 114 printf (" prec=%u rnd_mode=%s\n", (unsigned) prec, | |
| 115 mpfr_print_rnd_mode (rnd)); | |
| 116 printf ("got "); | |
| 117 mpfr_out_str (stdout, 2, prec, z, GMP_RNDN); | |
| 118 puts (""); | |
| 119 printf ("expected "); | |
| 120 mpfr_out_str (stdout, 2, prec, t, GMP_RNDN); | |
| 121 puts (""); | |
| 122 printf ("approx "); | |
| 123 mpfr_print_binary (y); | |
| 124 puts (""); | |
| 125 exit (1); | |
| 126 } | |
| 127 compare2 = mpfr_cmp (t, y); | |
| 128 /* if rounding to nearest, cannot know the sign of t - f(x) | |
| 129 because of composed rounding: y = o(f(x)) and t = o(y) */ | |
| 130 if ((rnd != GMP_RNDN) && (compare * compare2 >= 0)) | |
| 131 compare = compare + compare2; | |
| 132 else | |
| 133 compare = inexact; /* cannot determine sign(t-f(x)) */ | |
| 134 if (((inexact == 0) && (compare != 0)) || | |
| 135 ((inexact > 0) && (compare <= 0)) || | |
| 136 ((inexact < 0) && (compare >= 0))) | |
| 137 { | |
| 138 printf ("Wrong inexact flag for rnd=%s: expected %d, got %d\n", | |
| 139 mpfr_print_rnd_mode (rnd), compare, inexact); | |
| 140 printf ("x="); mpfr_print_binary (x); puts (""); | |
| 141 printf ("y="); mpfr_print_binary (y); puts (""); | |
| 142 printf ("t="); mpfr_print_binary (t); puts (""); | |
| 143 exit (1); | |
| 144 } | |
| 145 } | |
| 146 | |
| 147 mpfr_clear (y); | |
| 148 mpfr_clear (z); | |
| 149 mpfr_clear (t); | |
| 150 } | |
| 151 | |
| 152 int | |
| 153 main (int argc, char *argv[]) | |
| 154 { | |
| 155 mpfr_t x, y; | |
| 156 unsigned long int n; | |
| 157 | |
| 158 tests_start_mpfr (); | |
| 159 | |
| 160 mpfr_init (x); | |
| 161 mpfr_init (y); | |
| 162 | |
| 163 n = randlimb (); | |
| 164 | |
| 165 MPFR_SET_INF(x); | |
| 166 mpfr_ui_pow (y, n, x, GMP_RNDN); | |
| 167 if(!MPFR_IS_INF(y)) | |
| 168 { | |
| 169 printf ("evaluation of function in INF does not return INF\n"); | |
| 170 exit (1); | |
| 171 } | |
| 172 | |
| 173 MPFR_CHANGE_SIGN(x); | |
| 174 mpfr_ui_pow (y, n, x, GMP_RNDN); | |
| 175 if(!MPFR_IS_ZERO(y)) | |
| 176 { | |
| 177 printf ("evaluation of function in -INF does not return 0"); | |
| 178 exit (1); | |
| 179 } | |
| 180 | |
| 181 MPFR_SET_NAN(x); | |
| 182 mpfr_ui_pow (y, n, x, GMP_RNDN); | |
| 183 if(!MPFR_IS_NAN(y)) | |
| 184 { | |
| 185 printf ("evaluation of function in NAN does not return NAN"); | |
| 186 exit (1); | |
| 187 } | |
| 188 | |
| 189 test1 (); | |
| 190 | |
| 191 { | |
| 192 mpfr_t z, t; | |
| 193 mp_prec_t prec; | |
| 194 mp_rnd_t rnd; | |
| 195 unsigned int n; | |
| 196 | |
| 197 mp_prec_t p0=2, p1=100; | |
| 198 unsigned int N=20; | |
| 199 | |
| 200 mpfr_init2 (z, 38); | |
| 201 mpfr_init2 (t, 6); | |
| 202 | |
| 203 /* check exact power */ | |
| 204 mpfr_set_str_binary (t, "0.110000E5"); | |
| 205 mpfr_ui_pow (z, 3, t, GMP_RNDN); | |
| 206 | |
| 207 mpfr_set_prec (x, 2); | |
| 208 mpfr_set_prec (y, 2); | |
| 209 mpfr_set_str (x, "-0.5", 10, GMP_RNDZ); | |
| 210 mpfr_ui_pow (y, 4, x, GMP_RNDD); | |
| 211 if (mpfr_cmp_ui_2exp(y, 1, -1)) | |
| 212 { | |
| 213 fprintf (stderr, "Error for 4^(-0.5), prec=2, GMP_RNDD\n"); | |
| 214 fprintf (stderr, "expected 0.5, got "); | |
| 215 mpfr_out_str (stderr, 2, 0, y, GMP_RNDN); | |
| 216 fprintf (stderr, "\n"); | |
| 217 exit (1); | |
| 218 } | |
| 219 | |
| 220 /* problem found by Kevin on spe175.testdrive.compaq.com | |
| 221 (03 Sep 2003) */ | |
| 222 mpfr_set_prec (x, 2); | |
| 223 mpfr_set_prec (y, 2); | |
| 224 mpfr_set_str (x, "0.5", 10, GMP_RNDN); | |
| 225 mpfr_ui_pow (y, 398441521, x, GMP_RNDN); | |
| 226 if (mpfr_cmp_ui_2exp(y, 1, 14)) | |
| 227 { | |
| 228 fprintf (stderr, "Error for 398441521^(0.5), prec=2, GMP_RNDN\n"); | |
| 229 fprintf (stderr, "expected 1.0e14, got "); | |
| 230 mpfr_out_str (stderr, 2, 0, y, GMP_RNDN); | |
| 231 fprintf (stderr, "\n"); | |
| 232 exit (1); | |
| 233 } | |
| 234 | |
| 235 mpfr_clear (z); | |
| 236 mpfr_clear (t); | |
| 237 | |
| 238 mpfr_set_prec (x, 2); | |
| 239 mpfr_set_str (x, "0.5", 10, GMP_RNDN); | |
| 240 check1 (x, 2, 398441521, GMP_RNDN); /* 398441521 = 19961^2 */ | |
| 241 | |
| 242 /* generic test */ | |
| 243 for (prec = p0; prec <= p1; prec++) | |
| 244 { | |
| 245 mpfr_set_prec (x, prec); | |
| 246 for (n=0; n<N; n++) | |
| 247 { | |
| 248 int nt; | |
| 249 nt = randlimb () & INT_MAX; | |
| 250 mpfr_urandomb (x, RANDS); | |
| 251 rnd = RND_RAND (); | |
| 252 check1 (x, prec, nt, rnd); | |
| 253 } | |
| 254 } | |
| 255 } | |
| 256 | |
| 257 mpfr_clear (x); | |
| 258 mpfr_clear (y); | |
| 259 | |
| 260 tests_end_mpfr (); | |
| 261 return 0; | |
| 262 } | |
| OLD | NEW |