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/* Test file for mpfr_log_ui.
Copyright 2016-2020 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"
static void
compare_with_log (unsigned long n, mpfr_prec_t p)
{
mpfr_t x, y;
int inex1, inex2;
mpfr_flags_t flags1;
mpfr_init2 (x, sizeof (unsigned long) * CHAR_BIT);
mpfr_init2 (y, p);
inex1 = mpfr_set_ui (x, n, MPFR_RNDN);
MPFR_ASSERTN(inex1 == 0);
inex1 = mpfr_log (y, x, MPFR_RNDN);
flags1 = __gmpfr_flags;
mpfr_set_prec (x, p);
inex2 = mpfr_log_ui (x, n, MPFR_RNDN);
MPFR_ASSERTN(inex1 == inex2);
MPFR_ASSERTN(flags1 == __gmpfr_flags);
MPFR_ASSERTN(mpfr_equal_p (x, y));
mpfr_clears (x, y, (mpfr_ptr) 0);
}
#define TEST_FUNCTION mpfr_log_ui
#define ONE_ARG
#define ULONG_ARG1
#define RAND_FUNCTION(x) mpfr_set_ui (x, randlimb (), MPFR_RNDN)
#include "tgeneric.c"
#define TEST_FUNCTION mpfr_log_ui
int
main (int argc, char *argv[])
{
unsigned int prec, yprec;
int rnd;
mpfr_t x, y, z, t, v;
unsigned long m, n;
int inex;
mpfr_exp_t emin, emax;
int i;
tests_start_mpfr ();
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
mpfr_inits2 (53, x, y, z, t, (mpfr_ptr) 0);
mpfr_init2 (v, sizeof (unsigned long) * CHAR_BIT);
if (argc >= 3) /* tlog_ui n prec [rnd] */
{
mpfr_set_prec (x, strtoul (argv[2], NULL, 10));
TEST_FUNCTION (x, strtoul (argv[1], NULL, 10),
argc > 3 ? (mpfr_rnd_t) atoi (argv[3]) : MPFR_RNDN);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf ("\n");
goto clear_and_exit;
}
mpfr_set_prec (x, 33);
mpfr_set_prec (y, 33);
mpfr_log_ui (x, 3, MPFR_RNDZ);
mpfr_set_str_binary (y, "1.0001100100111110101001111010101");
if (mpfr_cmp (x, y))
{
printf ("Error for log(3), prec=33, MPFR_RNDZ\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
mpfr_set_prec (x, 60);
mpfr_set_prec (y, 60);
mpfr_log_ui (x, 19, MPFR_RNDU);
mpfr_set_str_binary (y, "10.1111000111000110110000001100000010010110011001011000111010");
if (mpfr_cmp (x, y))
{
printf ("Error for log(19), prec=60, MPFR_RNDU\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
mpfr_clear_flags ();
inex = mpfr_log_ui (x, 0, MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
MPFR_ASSERTN (mpfr_inf_p (x));
MPFR_ASSERTN (mpfr_sgn (x) < 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_DIVBY0);
mpfr_clear_flags ();
inex = mpfr_log_ui (x, 1, MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
MPFR_ASSERTN (mpfr_zero_p (x));
MPFR_ASSERTN (mpfr_signbit (x) == 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
for (prec = MPFR_PREC_MIN; prec <= 100; prec++)
{
mpfr_set_prec (x, prec);
mpfr_set_prec (z, prec);
mpfr_set_prec (t, prec);
yprec = prec + 20;
mpfr_set_prec (y, yprec);
for (m = 2; m < 130; m++)
RND_LOOP (rnd)
{
/* Start with n = 2 to 49 (mpfr_can_round would fail for n < 2),
then around ULONG_MAX/3, then around LONG_MAX, then
ULONG_MAX down to ULONG_MAX-19. */
n = (m < 50 ? m :
m < 80 ? ULONG_MAX/3 + m - 65 :
m < 110 ? (unsigned long) LONG_MAX + m - 95 :
ULONG_MAX - (m - 110));
inex = mpfr_set_ui (v, n, MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
mpfr_log (y, v, MPFR_RNDN);
if (mpfr_can_round (y, yprec, MPFR_RNDN, MPFR_RNDZ, prec
+ (rnd == MPFR_RNDN)))
{
mpfr_set (t, y, (mpfr_rnd_t) rnd);
for (i = 0; i <= 1; i++)
{
if (i)
{
mpfr_exp_t e;
if (MPFR_IS_SINGULAR (t))
break;
e = mpfr_get_exp (t);
set_emin (e);
set_emax (e);
}
TEST_FUNCTION (z, n, (mpfr_rnd_t) rnd);
if (i)
{
set_emin (emin);
set_emax (emax);
}
if (mpfr_cmp (t, z))
{
printf ("results differ for n = %lu, prec = %u,"
" %s%s\n", n, prec,
mpfr_print_rnd_mode ((mpfr_rnd_t) rnd),
i ? ", reduced exponent range" : "");
printf (" got ");
mpfr_dump (z);
printf (" expected ");
mpfr_dump (t);
printf (" approx ");
mpfr_dump (y);
exit (1);
}
}
}
else
{
/* We are not doing random tests. The precision increase
must have be chosen so that this case never occurs. */
printf ("mpfr_can_round failed for n = %lu, prec = %u, %s\n",
n, prec, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
exit (1);
}
}
}
test_generic (MPFR_PREC_MIN, 1000, 1);
for (n = 1; n < ULONG_MAX / 3; n *= 3)
compare_with_log (n, 10);
clear_and_exit:
mpfr_clears (x, y, z, t, v, (mpfr_ptr) 0);
tests_end_mpfr ();
return 0;
}
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