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/* mpfr_tli2 -- test file for dilogarithm function
Copyright 2007-2019 Free Software Foundation, Inc.
Contributed by the AriC and Caramba 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
https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
#include "mpfr-test.h"
#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 (MPFR_PREC_MIN, 100, 2);
data_check ("data/li2", mpfr_li2, "mpfr_li2");
tests_end_mpfr ();
return 0;
}
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