1 /* Test file for mpfr_nextabove, mpfr_nextbelow, mpfr_nexttoward. 2 3 Copyright 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software Foundation, 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 3 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.LESSER. If not, see 20 http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 21 51 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 /* Generic tests for mpfr_nextabove and mpfr_nextbelow */ 29 static void 30 generic_abovebelow (void) 31 { 32 int i; 33 34 for (i = 0; i < 20000; i++) 35 { 36 mpfr_t x, y, z, t; 37 mpfr_prec_t prec; 38 int neg, below; 39 40 prec = (randlimb () % 300) + MPFR_PREC_MIN; 41 mpfr_inits2 (prec, x, y, z, (mpfr_ptr) 0); 42 mpfr_init2 (t, 3); 43 44 /* special tests (executed once is enough) */ 45 if (i == 0) 46 { 47 mpfr_set_nan (x); 48 mpfr_nextabove (x); 49 MPFR_ASSERTN(mpfr_nan_p (x)); 50 mpfr_nextbelow (x); 51 MPFR_ASSERTN(mpfr_nan_p (x)); 52 mpfr_nexttoward (x, y); 53 MPFR_ASSERTN(mpfr_nan_p (x)); 54 mpfr_set_ui (y, 1, MPFR_RNDN); 55 mpfr_nexttoward (y, x); 56 MPFR_ASSERTN(mpfr_nan_p (y)); 57 mpfr_set_ui (x, 1, MPFR_RNDN); 58 mpfr_set_ui (y, 1, MPFR_RNDN); 59 mpfr_nexttoward (x, y); 60 MPFR_ASSERTN(mpfr_cmp_ui (x, 1) == 0); 61 } 62 63 do 64 mpfr_urandomb (x, RANDS); 65 while (mpfr_cmp_ui (x, 0) == 0); 66 neg = randlimb () & 1; 67 if (neg) 68 mpfr_neg (x, x, MPFR_RNDN); 69 mpfr_set (y, x, MPFR_RNDN); 70 below = randlimb () & 1; 71 if (below) 72 mpfr_nextbelow (y); 73 else 74 mpfr_nextabove (y); 75 mpfr_set_si (t, below ? -5 : 5, MPFR_RNDN); 76 mpfr_mul_2si (t, t, (mpfr_get_exp) (x) - prec - 3, MPFR_RNDN); 77 /* t = (1/2 + 1/8) ulp(x) */ 78 mpfr_add (z, x, t, MPFR_RNDN); 79 if (!mpfr_number_p (y) || mpfr_cmp (y, z) != 0) 80 { 81 printf ("Error in mpfr_next%s for\n", 82 below ? "below" : "above"); 83 mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); 84 printf (", got\n"); 85 mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); 86 printf (" instead of\n"); 87 mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN); 88 printf ("\n"); 89 exit (1); 90 } 91 mpfr_clears (x, y, z, t, (mpfr_ptr) 0); 92 } 93 } 94 95 static void 96 inverse_test (void) 97 { 98 static const char *tests[] = { "0", "1", "2", "3.1", "Inf" }; 99 int i, neg, below; 100 mpfr_prec_t prec; 101 102 for (i = 0; i < (int) (sizeof(tests) / sizeof(tests[0])); i++) 103 for (neg = 0; neg <= 1; neg++) 104 for (below = 0; below <= 1; below++) 105 for (prec = MPFR_PREC_MIN; prec < 200; prec += 3) 106 { 107 mpfr_t x, y; 108 int sign; 109 110 mpfr_inits2 (prec, x, y, (mpfr_ptr) 0); 111 mpfr_set_str (x, tests[i], 10, MPFR_RNDN); 112 if (neg) 113 mpfr_neg (x, x, MPFR_RNDN); 114 mpfr_set (y, x, MPFR_RNDN); 115 if (below) 116 mpfr_nextbelow (y); 117 else 118 mpfr_nextabove (y); 119 sign = MPFR_SIGN (y); 120 if (!(neg == below && mpfr_inf_p (x))) /* then x = y */ 121 { 122 if (mpfr_cmp (x, y) == 0) 123 { 124 printf ("Error in inverse_test for %s, neg = %d," 125 " below = %d, prec = %d: x = y", tests[i], 126 neg, below, (int) prec); 127 printf ("\nx = "); 128 mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); 129 printf ("\ny = "); 130 mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); 131 printf ("\n"); 132 exit (1); 133 } 134 mpfr_nexttoward (y, x); 135 if (mpfr_cmp_ui (y, 0) == 0 && MPFR_SIGN (y) != sign) 136 { 137 printf ("Sign error in inverse_test for %s, neg = %d," 138 " below = %d, prec = %d\n", tests[i], neg, 139 below, (int) prec); 140 mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); 141 printf ("\n"); 142 exit (1); 143 } 144 } 145 if (mpfr_cmp (x, y) != 0) 146 { 147 printf ("Error in inverse_test for %s, neg = %d, below = %d," 148 " prec = %d", tests[i], neg, below, (int) prec); 149 printf ("\nx = "); 150 mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); 151 printf ("\ny = "); 152 mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); 153 printf ("\n"); 154 exit (1); 155 } 156 mpfr_clears (x, y, (mpfr_ptr) 0); 157 } 158 } 159 160 int 161 main (void) 162 { 163 tests_start_mpfr (); 164 generic_abovebelow (); 165 inverse_test (); 166 tests_end_mpfr (); 167 return 0; 168 } 169