1 /* mpfr_tli2 -- test file for dilogarithm function 2 3 Copyright 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc. 4 Contributed by the AriC and Caramel 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 #if MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0) 29 30 #define TEST_FUNCTION mpfr_li2 31 #include "tgeneric.c" 32 33 static void 34 special (void) 35 { 36 mpfr_t x, y; 37 mpfr_init (x); 38 mpfr_init (y); 39 40 mpfr_set_nan (x); 41 mpfr_li2 (y, x, MPFR_RNDN); 42 if (!mpfr_nan_p (y)) 43 { 44 printf ("Error for li2(NaN)\n"); 45 exit (1); 46 } 47 48 mpfr_set_inf (x, -1); 49 mpfr_li2 (y, x, MPFR_RNDN); 50 if (!MPFR_IS_INF (y) || MPFR_IS_POS (y)) 51 { 52 printf ("Error for li2(-Inf)\n"); 53 exit (1); 54 } 55 56 mpfr_set_inf (x, 1); 57 mpfr_li2 (y, x, MPFR_RNDN); 58 if (!MPFR_IS_INF (y) || MPFR_IS_POS (y)) 59 { 60 printf ("Error for li2(+Inf)\n"); 61 exit (1); 62 } 63 64 mpfr_set_ui (x, 0, MPFR_RNDN); 65 mpfr_li2 (y, x, MPFR_RNDN); 66 if (!MPFR_IS_ZERO (y) || MPFR_IS_NEG (y)) 67 { 68 printf ("Error for li2(+0)\n"); 69 exit (1); 70 } 71 72 mpfr_set_ui (x, 0, MPFR_RNDN); 73 mpfr_neg (x, x, MPFR_RNDN); 74 mpfr_li2 (y, x, MPFR_RNDN); 75 if (!MPFR_IS_ZERO (y) || MPFR_IS_POS (y)) 76 { 77 printf ("Error for li2(-0)\n"); 78 exit (1); 79 } 80 81 mpfr_clear (x); 82 mpfr_clear (y); 83 } 84 85 static void 86 normal (void) 87 { 88 int inexact; 89 mpfr_t x, y; 90 mpfr_init (x); 91 mpfr_init (y); 92 93 /* x1 = 2^-3 */ 94 mpfr_set_str (x, "1p-3", 2, MPFR_RNDD); 95 mpfr_li2 (x, x, MPFR_RNDN); 96 if (mpfr_cmp_str (x, "0x1087a7a9e42141p-55", 16, MPFR_RNDN) != 0) 97 { 98 printf ("Error for li2(x1)\n"); 99 exit (1); 100 } 101 102 /* check MPFR_FAST_COMPUTE_IF_SMALL_INPUT */ 103 mpfr_set_prec (x, 2); 104 mpfr_set_prec (y, 20); 105 mpfr_set_ui_2exp (x, 1, -21, MPFR_RNDN); 106 mpfr_li2 (y, x, MPFR_RNDN); 107 MPFR_ASSERTN(mpfr_cmp (y, x) == 0); 108 109 mpfr_set_si_2exp (x, -1, -21, MPFR_RNDN); 110 mpfr_li2 (y, x, MPFR_RNDN); 111 MPFR_ASSERTN(mpfr_cmp (y, x) == 0); 112 113 /* worst case */ 114 /* x2 = 0x7F18EA6537E00E983196CDDC6EFAC57Fp-129 115 Li2(x2) = 2^-2 + 2^-6 + 2^-120 */ 116 mpfr_set_prec (x, 128); 117 mpfr_set_str (x, "7F18EA6537E00E983196CDDC6EFAC57Fp-129", 16, MPFR_RNDN); 118 119 /* round to nearest mode and 4 bits of precision, 120 it should be rounded to 2^-2 + 2^-5 and */ 121 mpfr_set_prec (y, 4); 122 inexact = mpfr_li2 (y, x, MPFR_RNDN); 123 if (inexact != 1 || mpfr_cmp_str (y, "0.1001p-1", 2, MPFR_RNDN) != 0) 124 { 125 printf ("Error for li2(x2, RNDN)\n"); 126 exit (1); 127 } 128 129 /* round toward zero mode and 5 bits of precision, 130 it should be rounded to 2^-2 + 2^-6 */ 131 mpfr_set_prec (y, 5); 132 inexact = mpfr_li2 (y, x, MPFR_RNDZ); 133 if (inexact != -1 || mpfr_cmp_str (y, "0.10001p-1", 2, MPFR_RNDN) != 0) 134 { 135 printf ("Error for li2(x2, RNDZ)\n"); 136 exit (1); 137 } 138 139 /* round away from zero mode and 5 bits of precision, 140 it should be rounded to 2^-2 + 2^-5 */ 141 inexact = mpfr_li2 (y, x, MPFR_RNDU); 142 if (inexact != 1 || mpfr_cmp_str (y, "0.10010p-1", 2, MPFR_RNDN) != 0) 143 { 144 printf ("Error for li2(x2, RNDU)\n"); 145 exit (1); 146 } 147 148 mpfr_clear (x); 149 mpfr_clear (y); 150 } 151 152 static void 153 bug20091013 (void) 154 { 155 mpfr_t x, y; 156 int inex; 157 158 mpfr_init2 (x, 17); 159 mpfr_init2 (y, 2); 160 mpfr_set_str_binary (x, "0.10000000000000000E-16"); 161 inex = mpfr_li2 (y, x, MPFR_RNDN); 162 if (mpfr_cmp_ui_2exp (y, 1, -17) != 0) 163 { 164 printf ("Error in bug20091013()\n"); 165 printf ("expected 2^(-17)\n"); 166 printf ("got "); 167 mpfr_dump (y); 168 exit (1); 169 } 170 if (inex >= 0) 171 { 172 printf ("Error in bug20091013()\n"); 173 printf ("expected negative ternary value, got %d\n", inex); 174 exit (1); 175 } 176 mpfr_clear (x); 177 mpfr_clear (y); 178 } 179 180 int 181 main (int argc, char *argv[]) 182 { 183 tests_start_mpfr (); 184 185 bug20091013 (); 186 187 special (); 188 189 normal (); 190 191 test_generic (2, 100, 2); 192 193 data_check ("data/li2", mpfr_li2, "mpfr_li2"); 194 195 tests_end_mpfr (); 196 return 0; 197 } 198 199 #else 200 201 int 202 main (void) 203 { 204 printf ("Warning! Test disabled for this MPFR version.\n"); 205 return 0; 206 } 207 208 #endif 209