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/* Test file for mpfr_rec_sqrt.
Copyright 2008-2021 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 <time.h>
#include "mpfr-test.h"
#define TEST_FUNCTION mpfr_rec_sqrt
#define TEST_RANDOM_POS 8 /* 8/512 = 1/64 of the tested numbers are negative */
#include "tgeneric.c"
static void
special (void)
{
mpfr_t x, y;
int inex;
mpfr_init (x);
mpfr_init (y);
/* rec_sqrt(NaN) = NaN */
mpfr_set_nan (x);
inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0);
/* rec_sqrt(+Inf) = +0 */
mpfr_set_inf (x, 1);
inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_zero_p (x) && MPFR_IS_POS(x) && inex == 0);
/* rec_sqrt(-Inf) = NaN */
mpfr_set_inf (x, -1);
inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0);
/* rec_sqrt(+0) = +Inf */
mpfr_set_ui (x, 0, MPFR_RNDN);
inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x) && inex == 0);
/* rec_sqrt(-0) = +Inf */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN);
inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x) && inex == 0);
/* rec_sqrt(-1) = NaN */
mpfr_set_si (x, -1, MPFR_RNDN);
inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0);
/* rec_sqrt(1) = 1 */
mpfr_set_ui (x, 1, MPFR_RNDN);
inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
MPFR_ASSERTN((mpfr_cmp_ui (x, 1) == 0) && (inex == 0));
mpfr_set_prec (x, 23);
mpfr_set_prec (y, 33);
mpfr_set_str_binary (x, "1.0001110110101001010100e-1");
inex = mpfr_rec_sqrt (y, x, MPFR_RNDU);
mpfr_set_prec (x, 33);
mpfr_set_str_binary (x, "1.01010110101110100100100101011");
MPFR_ASSERTN (inex > 0 && mpfr_cmp (x, y) == 0);
mpfr_clear (x);
mpfr_clear (y);
}
/* Worst case incorrectly rounded in r5573, found with the bad_cases test */
static void
bad_case1 (void)
{
mpfr_t x, y, z;
mpfr_init2 (x, 72);
mpfr_inits2 (6, y, z, (mpfr_ptr) 0);
mpfr_set_str (x, "1.08310518720928b30e@-120", 16, MPFR_RNDN);
mpfr_set_str (z, "f.8@59", 16, MPFR_RNDN);
/* z = rec_sqrt(x) rounded on 6 bits toward 0, the exact value
being ~= f.bffffffffffffffffa11@59. */
mpfr_rec_sqrt (y, x, MPFR_RNDZ);
if (mpfr_cmp0 (y, z) != 0)
{
printf ("Error in bad_case1\nexpected ");
mpfr_out_str (stdout, 16, 0, z, MPFR_RNDN);
printf ("\ngot ");
mpfr_out_str (stdout, 16, 0, y, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_clears (x, y, z, (mpfr_ptr) 0);
}
static int
pm2 (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd_mode)
{
return mpfr_pow_si (y, x, -2, rnd_mode);
}
/* exercises corner cases with inputs around 1 or 2 */
static void
bad_case2 (void)
{
mpfr_t r, u;
mpfr_prec_t pr, pu;
int rnd;
for (pr = MPFR_PREC_MIN; pr <= 192; pr++)
for (pu = MPFR_PREC_MIN; pu <= 192; pu++)
{
mpfr_init2 (r, pr);
mpfr_init2 (u, pu);
mpfr_set_ui (u, 1, MPFR_RNDN);
RND_LOOP (rnd)
mpfr_rec_sqrt (r, u, (mpfr_rnd_t) rnd);
mpfr_nextbelow (u);
RND_LOOP (rnd)
mpfr_rec_sqrt (r, u, (mpfr_rnd_t) rnd);
mpfr_nextbelow (u);
RND_LOOP (rnd)
mpfr_rec_sqrt (r, u, (mpfr_rnd_t) rnd);
mpfr_set_ui (u, 1, MPFR_RNDN);
mpfr_nextabove (u);
RND_LOOP (rnd)
mpfr_rec_sqrt (r, u, (mpfr_rnd_t) rnd);
mpfr_nextabove (u);
RND_LOOP (rnd)
mpfr_rec_sqrt (r, u, (mpfr_rnd_t) rnd);
mpfr_set_ui (u, 2, MPFR_RNDN);
RND_LOOP (rnd)
mpfr_rec_sqrt (r, u, (mpfr_rnd_t) rnd);
mpfr_nextbelow (u);
RND_LOOP (rnd)
mpfr_rec_sqrt (r, u, (mpfr_rnd_t) rnd);
mpfr_nextbelow (u);
RND_LOOP (rnd)
mpfr_rec_sqrt (r, u, (mpfr_rnd_t) rnd);
mpfr_set_ui (u, 2, MPFR_RNDN);
mpfr_nextabove (u);
RND_LOOP (rnd)
mpfr_rec_sqrt (r, u, (mpfr_rnd_t) rnd);
mpfr_nextabove (u);
RND_LOOP (rnd)
mpfr_rec_sqrt (r, u, (mpfr_rnd_t) rnd);
mpfr_clear (r);
mpfr_clear (u);
}
}
/* timing test for n limbs (so that we can compare with GMP speed -s n) */
static void
test (unsigned long n)
{
mpfr_prec_t p = n * GMP_NUMB_BITS;
mpfr_t x, y, z;
gmp_randstate_t state;
double t;
gmp_randinit_default (state);
mpfr_init2 (x, p);
mpfr_init2 (y, p);
mpfr_init2 (z, p);
mpfr_urandom (x, state, MPFR_RNDN);
mpfr_urandom (y, state, MPFR_RNDN);
/* multiplication */
t = clock ();
mpfr_mul (z, x, y, MPFR_RNDN);
t = clock () - t;
printf ("mpfr_mul: %.3gs\n", t / (double) CLOCKS_PER_SEC);
/* squaring */
t = clock ();
mpfr_sqr (z, x, MPFR_RNDN);
t = clock () - t;
printf ("mpfr_sqr: %.3gs\n", t / (double) CLOCKS_PER_SEC);
/* square root */
t = clock ();
mpfr_sqrt (z, x, MPFR_RNDN);
t = clock () - t;
printf ("mpfr_sqrt: %.3gs\n", t / (double) CLOCKS_PER_SEC);
/* inverse square root */
t = clock ();
mpfr_rec_sqrt (z, x, MPFR_RNDN);
t = clock () - t;
printf ("mpfr_rec_sqrt: %.3gs\n", t / (double) CLOCKS_PER_SEC);
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
gmp_randclear (state);
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
if (argc == 2) /* trec_sqrt n */
{
unsigned long n = strtoul (argv[1], NULL, 10);
test (n);
goto end;
}
special ();
bad_case1 ();
bad_case2 ();
test_generic (MPFR_PREC_MIN, 300, 15);
data_check ("data/rec_sqrt", mpfr_rec_sqrt, "mpfr_rec_sqrt");
bad_cases (mpfr_rec_sqrt, pm2, "mpfr_rec_sqrt", 0, -256, 255, 4, 128,
800, 50);
end:
tests_end_mpfr ();
return 0;
}
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