126 lines
3.4 KiB
C
126 lines
3.4 KiB
C
/* Test mpf_sqrt_ui.
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Copyright 2004, 2015 Free Software Foundation, Inc.
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This file is part of the GNU MP Library test suite.
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The GNU MP Library test suite is free software; you can redistribute it
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and/or modify it under the terms of the GNU General Public License as
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published by the Free Software Foundation; either version 3 of the License,
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or (at your option) any later version.
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The GNU MP Library test suite is distributed in the hope that it will be
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useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
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Public License for more details.
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You should have received a copy of the GNU General Public License along with
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the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
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#include <stdio.h>
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#include <stdlib.h>
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#include "gmp-impl.h"
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#include "tests.h"
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void
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check_rand (void)
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{
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unsigned long max_prec = 15;
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unsigned long min_prec = __GMPF_BITS_TO_PREC (1);
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gmp_randstate_ptr rands = RANDS;
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unsigned long x, prec;
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mpf_t r, s;
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int i;
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mpf_init (r);
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mpf_init (s);
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refmpf_set_prec_limbs (s, 2*max_prec+10);
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for (x = 0; x < 2; x++)
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{
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mpf_sqrt_ui (r, x);
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MPF_CHECK_FORMAT (r);
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if (mpf_cmp_ui (r, x) != 0)
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{
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printf ("mpf_sqrt_ui wrong for special case:\n");
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printf (" x=%lu\n", x);
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mpf_trace (" r", r);
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abort ();
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}
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}
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for (i = 0; i < 50; i++)
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{
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/* input, a random non-zero ulong, exponentially distributed */
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do {
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x = gmp_urandomb_ui (rands,
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gmp_urandomm_ui (rands, BITS_PER_ULONG) + 1);
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} while (x <= 1);
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/* result precision */
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prec = gmp_urandomm_ui (rands, max_prec-min_prec) + min_prec;
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refmpf_set_prec_limbs (r, prec);
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mpf_sqrt_ui (r, x);
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MPF_CHECK_FORMAT (r);
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/* Expect to prec limbs of result.
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In the current implementation there's no stripping of low zero
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limbs in mpf_sqrt_ui, not even on perfect squares, so size should
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be exactly prec. */
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if (SIZ(r) != prec)
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{
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printf ("mpf_sqrt_ui result not enough result limbs\n");
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printf (" x=%lu\n", x);
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printf (" want prec=%lu\n", prec);
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mpf_trace (" r", r);
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printf (" r size %ld\n", (long) SIZ(r));
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printf (" r prec %ld\n", (long) PREC(r));
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abort ();
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}
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/* Must have r^2 <= x, since r has been truncated. */
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mpf_mul (s, r, r);
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if (! (mpf_cmp_ui (s, x) <= 0))
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{
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printf ("mpf_sqrt_ui result too big\n");
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printf (" x=%lu\n", x);
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printf (" want prec=%lu\n", prec);
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mpf_trace (" r", r);
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mpf_trace (" s", s);
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abort ();
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}
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/* Must have (r+ulp)^2 > x.
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No overflow from refmpf_add_ulp since r is only prec limbs. */
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refmpf_add_ulp (r);
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mpf_mul (s, r, r);
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if (! (mpf_cmp_ui (s, x) > 0))
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{
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printf ("mpf_sqrt_ui result too small\n");
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printf (" x=%lu\n", x);
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printf (" want prec=%lu\n", prec);
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mpf_trace (" r+ulp", r);
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mpf_trace (" s", s);
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abort ();
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}
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}
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mpf_clear (r);
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mpf_clear (s);
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}
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int
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main (int argc, char **argv)
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{
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tests_start ();
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mp_trace_base = -16;
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check_rand ();
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tests_end ();
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exit (0);
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}
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