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/* Test file for mpfr_const_log2.
Copyright 1999, 2001-2025 Free Software Foundation, Inc.
Contributed by the Pascaline 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/>. */
#include "mpfr-test.h"
/* tlog2 [prec] [rnd] [0 = no print] */
static void
check (mpfr_prec_t p0, mpfr_prec_t p1)
{
mpfr_t x, y, z;
int i, inex, inex_ref;
mpfr_init (x);
mpfr_init (y);
mpfr_init2 (z, p1 + 10);
mpfr_const_log2 (z, MPFR_RNDN);
mpfr_clear_cache (__gmpfr_cache_const_log2);
for (; p0 <= p1; p0++)
{
mpfr_set_prec (x, p0);
mpfr_set_prec (y, p0);
RND_LOOP_NO_RNDF (i)
{
mpfr_rnd_t rnd = (mpfr_rnd_t) i;
inex = mpfr_const_log2 (x, rnd);
inex_ref = mpfr_set (y, z, rnd);
if (! mpfr_can_round (z, mpfr_get_prec (z), MPFR_RNDN, rnd, p0))
{
printf ("increase guard precision in check()\n");
exit (1);
}
if (mpfr_cmp (x, y) || inex != inex_ref)
{
printf ("mpfr_const_log2 fails for prec=%u, rnd=%s\n",
(unsigned int) p0, mpfr_print_rnd_mode (rnd));
printf ("expected "), mpfr_dump (y);
printf ("got "), mpfr_dump (x);
printf ("expected inex = %d\n", inex_ref);
printf ("got inex = %d\n", inex);
exit (1);
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
}
static void
check_large (void)
{
mpfr_t x, y, z;
mpfr_init2 (x, 25000);
mpfr_init2 (y, 26000);
mpfr_init2 (z, 26000);
(mpfr_const_log2) (x, MPFR_RNDN); /* First one ! */
(mpfr_const_log2) (y, MPFR_RNDN); /* Then the other - cache - */
mpfr_set (z, y, MPFR_RNDN);
mpfr_prec_round (y, 25000, MPFR_RNDN);
if (mpfr_cmp (x, y) != 0)
{
printf ("const_log2: error for large prec\n");
printf ("x = ");
mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN);
printf ("\n");
printf ("y = ");
mpfr_out_str (stdout, 16, 0, y, MPFR_RNDN);
printf ("\n");
printf ("z = ");
mpfr_out_str (stdout, 16, 0, z, MPFR_RNDN);
printf ("\n");
exit (1);
}
/* worst-case with 15 successive ones after last bit,
to exercise can_round loop */
mpfr_set_prec (x, 26249);
mpfr_const_log2 (x, MPFR_RNDZ);
mpfr_clears (x, y, z, (mpfr_ptr) 0);
}
static void
check_cache (void)
{
mpfr_t x;
int i;
mpfr_init2 (x, 195);
mpfr_free_cache ();
i = mpfr_const_log2 (x, MPFR_RNDN);
if (i == 0)
{
printf("Error for log2. Invalid ternary value (1).\n");
exit (1);
}
mpfr_set_prec (x, 194);
i = mpfr_const_log2 (x, MPFR_RNDN);
if (i == 0)
{
printf("Error for log2. Invalid ternary value (2).\n");
exit (1);
}
mpfr_free_cache ();
mpfr_set_prec (x, 9);
mpfr_const_log2 (x, MPFR_RNDN);
mpfr_set_prec (x, 8);
mpfr_const_log2 (x, MPFR_RNDN);
if (mpfr_cmp_str (x, "0.10110001E0", 2, MPFR_RNDN))
{
printf("Error for log2. Wrong rounding.\n");
exit (1);
}
mpfr_clear (x);
}
/* Wrapper for tgeneric */
static int
my_const_log2 (mpfr_ptr x, mpfr_srcptr y, mpfr_rnd_t r)
{
return mpfr_const_log2 (x, r);
}
#define RAND_FUNCTION(x) mpfr_set_ui ((x), 0, MPFR_RNDN)
#define TEST_FUNCTION my_const_log2
#include "tgeneric.c"
static void
exercise_Ziv (void)
{
mpfr_t x, y;
int inex;
mpfr_init2 (x, 92);
mpfr_init2 (y, 92);
inex = mpfr_const_log2 (x, MPFR_RNDN);
mpfr_set_str_binary (y, "0.1011000101110010000101111111011111010001110011110111100110101011110010011110001110110011101");
MPFR_ASSERTN(mpfr_equal_p (x, y));
MPFR_ASSERTN(inex > 0);
mpfr_clear (x);
mpfr_clear (y);
}
int
main (int argc, char *argv[])
{
mpfr_t x;
int p;
mpfr_rnd_t rnd;
tests_start_mpfr ();
p = (argc>1) ? atoi(argv[1]) : 53;
rnd = (argc>2) ? (mpfr_rnd_t) atoi(argv[2]) : MPFR_RNDN;
mpfr_init (x);
/* increase the 2nd argument to say 300000 to perform the exhaustive search
in src/const_log2.c */
check (MPFR_PREC_MIN, 1000);
/* check precision of 2 bits */
mpfr_set_prec (x, 2);
mpfr_const_log2 (x, MPFR_RNDN);
if (mpfr_cmp_ui_2exp(x, 3, -2)) /* 3*2^-2 */
{
printf ("mpfr_const_log2 failed for prec=2, rnd=MPFR_RNDN\n"
"expected 0.75, got ");
mpfr_out_str(stdout, 10, 0, x, MPFR_RNDN);
putchar('\n');
exit (1);
}
if (argc >= 2)
{
mpfr_set_prec (x, p);
mpfr_const_log2 (x, rnd);
mpfr_out_str (stdout, 10, 0, x, rnd);
puts ("");
}
exercise_Ziv ();
mpfr_set_prec (x, 53);
mpfr_const_log2 (x, MPFR_RNDZ);
if (mpfr_cmp_str1 (x, "6.9314718055994530941e-1") )
{
printf ("mpfr_const_log2 failed for prec=53\n");
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_const_log2 (x, MPFR_RNDN);
if (mpfr_cmp_str1 (x, "0.69314718060195446"))
{
printf ("mpfr_const_log2 failed for prec=32\n");
exit (1);
}
mpfr_clear (x);
check_large ();
check_cache ();
test_generic (MPFR_PREC_MIN, 200, 1);
tests_end_mpfr ();
return 0;
}
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