/* mpfr_tli2 -- test file for dilogarithm function Copyright 2007-2015 Free Software Foundation, Inc. Contributed by the AriC and Caramel projects, INRIA. This file is part of the GNU MPFR Library. The GNU MPFR Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. The GNU MPFR Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #include #include #include "mpfr-test.h" #if MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0) #define TEST_FUNCTION mpfr_li2 #include "tgeneric.c" static void special (void) { mpfr_t x, y; mpfr_init (x); mpfr_init (y); mpfr_set_nan (x); mpfr_li2 (y, x, MPFR_RNDN); if (!mpfr_nan_p (y)) { printf ("Error for li2(NaN)\n"); exit (1); } mpfr_set_inf (x, -1); mpfr_li2 (y, x, MPFR_RNDN); if (!MPFR_IS_INF (y) || MPFR_IS_POS (y)) { printf ("Error for li2(-Inf)\n"); exit (1); } mpfr_set_inf (x, 1); mpfr_li2 (y, x, MPFR_RNDN); if (!MPFR_IS_INF (y) || MPFR_IS_POS (y)) { printf ("Error for li2(+Inf)\n"); exit (1); } mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_li2 (y, x, MPFR_RNDN); if (!MPFR_IS_ZERO (y) || MPFR_IS_NEG (y)) { printf ("Error for li2(+0)\n"); exit (1); } mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_neg (x, x, MPFR_RNDN); mpfr_li2 (y, x, MPFR_RNDN); if (!MPFR_IS_ZERO (y) || MPFR_IS_POS (y)) { printf ("Error for li2(-0)\n"); exit (1); } mpfr_clear (x); mpfr_clear (y); } static void normal (void) { int inexact; mpfr_t x, y; mpfr_init (x); mpfr_init (y); /* x1 = 2^-3 */ mpfr_set_str (x, "1p-3", 2, MPFR_RNDD); mpfr_li2 (x, x, MPFR_RNDN); if (mpfr_cmp_str (x, "0x1087a7a9e42141p-55", 16, MPFR_RNDN) != 0) { printf ("Error for li2(x1)\n"); exit (1); } /* check MPFR_FAST_COMPUTE_IF_SMALL_INPUT */ mpfr_set_prec (x, 2); mpfr_set_prec (y, 20); mpfr_set_ui_2exp (x, 1, -21, MPFR_RNDN); mpfr_li2 (y, x, MPFR_RNDN); MPFR_ASSERTN(mpfr_cmp (y, x) == 0); mpfr_set_si_2exp (x, -1, -21, MPFR_RNDN); mpfr_li2 (y, x, MPFR_RNDN); MPFR_ASSERTN(mpfr_cmp (y, x) == 0); /* worst case */ /* x2 = 0x7F18EA6537E00E983196CDDC6EFAC57Fp-129 Li2(x2) = 2^-2 + 2^-6 + 2^-120 */ mpfr_set_prec (x, 128); mpfr_set_str (x, "7F18EA6537E00E983196CDDC6EFAC57Fp-129", 16, MPFR_RNDN); /* round to nearest mode and 4 bits of precision, it should be rounded to 2^-2 + 2^-5 and */ mpfr_set_prec (y, 4); inexact = mpfr_li2 (y, x, MPFR_RNDN); if (inexact != 1 || mpfr_cmp_str (y, "0.1001p-1", 2, MPFR_RNDN) != 0) { printf ("Error for li2(x2, RNDN)\n"); exit (1); } /* round toward zero mode and 5 bits of precision, it should be rounded to 2^-2 + 2^-6 */ mpfr_set_prec (y, 5); inexact = mpfr_li2 (y, x, MPFR_RNDZ); if (inexact != -1 || mpfr_cmp_str (y, "0.10001p-1", 2, MPFR_RNDN) != 0) { printf ("Error for li2(x2, RNDZ)\n"); exit (1); } /* round away from zero mode and 5 bits of precision, it should be rounded to 2^-2 + 2^-5 */ inexact = mpfr_li2 (y, x, MPFR_RNDU); if (inexact != 1 || mpfr_cmp_str (y, "0.10010p-1", 2, MPFR_RNDN) != 0) { printf ("Error for li2(x2, RNDU)\n"); exit (1); } mpfr_clear (x); mpfr_clear (y); } static void bug20091013 (void) { mpfr_t x, y; int inex; mpfr_init2 (x, 17); mpfr_init2 (y, 2); mpfr_set_str_binary (x, "0.10000000000000000E-16"); inex = mpfr_li2 (y, x, MPFR_RNDN); if (mpfr_cmp_ui_2exp (y, 1, -17) != 0) { printf ("Error in bug20091013()\n"); printf ("expected 2^(-17)\n"); printf ("got "); mpfr_dump (y); exit (1); } if (inex >= 0) { printf ("Error in bug20091013()\n"); printf ("expected negative ternary value, got %d\n", inex); exit (1); } mpfr_clear (x); mpfr_clear (y); } int main (int argc, char *argv[]) { tests_start_mpfr (); bug20091013 (); special (); normal (); test_generic (2, 100, 2); data_check ("data/li2", mpfr_li2, "mpfr_li2"); tests_end_mpfr (); return 0; } #else int main (void) { printf ("Warning! Test disabled for this MPFR version.\n"); return 0; } #endif