116 lines
3.3 KiB
C
116 lines
3.3 KiB
C
/* Test mpf_sqrt_ui.
|
|
|
|
Copyright 2004 Free Software Foundation, Inc.
|
|
|
|
This file is part of the GNU MP Library.
|
|
|
|
The GNU MP 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 2.1 of the License, or (at your
|
|
option) any later version.
|
|
|
|
The GNU MP 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 MP Library; see the file COPYING.LIB. If not, write to
|
|
the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
|
|
MA 02110-1301, USA. */
|
|
|
|
#include <stdio.h>
|
|
#include <stdlib.h>
|
|
|
|
#include "gmp.h"
|
|
#include "gmp-impl.h"
|
|
#include "tests.h"
|
|
|
|
|
|
void
|
|
check_rand (void)
|
|
{
|
|
unsigned long max_prec = 15;
|
|
unsigned long min_prec = __GMPF_BITS_TO_PREC (1);
|
|
gmp_randstate_ptr rands = RANDS;
|
|
unsigned long x, prec;
|
|
mpf_t r, s;
|
|
int i;
|
|
|
|
mpf_init (r);
|
|
mpf_init (s);
|
|
refmpf_set_prec_limbs (s, 2*max_prec+10);
|
|
|
|
for (i = 0; i < 50; i++)
|
|
{
|
|
/* input, a random non-zero ulong, exponentially distributed */
|
|
do {
|
|
x = gmp_urandomb_ui (rands,
|
|
gmp_urandomm_ui (rands, BITS_PER_ULONG) + 1);
|
|
} while (x == 0);
|
|
|
|
/* result precision */
|
|
prec = gmp_urandomm_ui (rands, max_prec-min_prec) + min_prec;
|
|
refmpf_set_prec_limbs (r, prec);
|
|
|
|
mpf_sqrt_ui (r, x);
|
|
MPF_CHECK_FORMAT (r);
|
|
|
|
/* Expect to prec limbs of result.
|
|
In the current implementation there's no stripping of low zero
|
|
limbs in mpf_sqrt_ui, not even on perfect squares, so size should
|
|
be exactly prec. */
|
|
if (SIZ(r) != prec)
|
|
{
|
|
printf ("mpf_sqrt_ui result not enough result limbs\n");
|
|
printf (" x=%lu\n", x);
|
|
printf (" want prec=%lu\n", prec);
|
|
mpf_trace (" r", r);
|
|
printf (" r size %ld\n", (long) SIZ(r));
|
|
printf (" r prec %ld\n", (long) PREC(r));
|
|
abort ();
|
|
}
|
|
|
|
/* Must have r^2 <= x, since r has been truncated. */
|
|
mpf_mul (s, r, r);
|
|
if (! (mpf_cmp_ui (s, x) <= 0))
|
|
{
|
|
printf ("mpf_sqrt_ui result too big\n");
|
|
printf (" x=%lu\n", x);
|
|
printf (" want prec=%lu\n", prec);
|
|
mpf_trace (" r", r);
|
|
mpf_trace (" s", s);
|
|
abort ();
|
|
}
|
|
|
|
/* Must have (r+ulp)^2 > x.
|
|
No overflow from refmpf_add_ulp since r is only prec limbs. */
|
|
refmpf_add_ulp (r);
|
|
mpf_mul (s, r, r);
|
|
if (! (mpf_cmp_ui (s, x) > 0))
|
|
{
|
|
printf ("mpf_sqrt_ui result too small\n");
|
|
printf (" x=%lu\n", x);
|
|
printf (" want prec=%lu\n", prec);
|
|
mpf_trace (" r+ulp", r);
|
|
mpf_trace (" s", s);
|
|
abort ();
|
|
}
|
|
}
|
|
|
|
mpf_clear (r);
|
|
mpf_clear (s);
|
|
}
|
|
|
|
int
|
|
main (int argc, char **argv)
|
|
{
|
|
tests_start ();
|
|
mp_trace_base = -16;
|
|
|
|
check_rand ();
|
|
|
|
tests_end ();
|
|
exit (0);
|
|
}
|