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/* test file for mpc_log.
Copyright (C) 2008, 2009 Andreas Enge, Philippe Th\'eveny, Paul Zimmermann
This file is part of the MPC Library.
The MPC 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 MPC 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 MPC Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
MA 02111-1307, USA. */
#include <stdlib.h>
#include "mpc-tests.h"
static void
check_exp_log (void)
{
mpc_t z, z2, tmp;
mpfr_t twopi;
mp_prec_t prec;
mpc_init2 (z, 1000);
mpc_init2 (z2, 1000);
mpc_init2 (tmp, 4000);
mpfr_init2 (twopi, 1000);
mpfr_const_pi (twopi, GMP_RNDD);
mpfr_div_2ui (twopi, twopi, 1, GMP_RNDN);
for (prec = 4; prec <= 1000; prec = prec*1.1 + 1)
{
mpc_set_prec (z, prec);
mpc_set_prec (z2, prec);
mpc_set_prec (tmp, 4*prec);
/* Test whether exp (log (z)) = z, where z is no pure real
and no pure imaginary. */
test_default_random (z, 0, 10, 128, 0);
mpc_log (tmp, z, MPC_RNDNN);
mpc_exp (z2, tmp, MPC_RNDNN);
if (mpc_cmp (z, z2) != 0)
{
printf ("Possible error in log; difference between z and "\
"z2=exp(log(z)):\n");
OUT (z);
OUT (tmp);
OUT (z2);
exit (1);
}
/* Test whether log (exp (z)) = z for purely imaginary z; then exp (x) */
/* lies on the unit cercle, a critical case for the logarithm. */
mpfr_set_ui (MPC_RE (z), 0, GMP_RNDN);
mpfr_remainder (MPC_IM (z), MPC_IM (z), twopi, GMP_RNDZ);
mpc_exp (tmp, z, MPC_RNDNN);
mpc_log (z2, tmp, MPC_RNDNN);
/* There is a tiny real part, do not care if it si sufficiently small. */
if (mpfr_cmp (MPC_IM (z), MPC_IM (z2)) != 0
|| MPFR_EXP (MPC_RE (z)) > -4 * (mp_exp_t) prec)
{
printf ("Possible error in purely imaginary log; difference "\
"between z and z2=log(exp(z)):\n");
OUT (z);
OUT (tmp);
OUT (z2);
exit (1);
}
}
mpc_clear (z);
mpc_clear (z2);
mpc_clear (tmp);
mpfr_clear (twopi);
}
int
main (void)
{
DECL_FUNC (CC, f, mpc_log);
test_start ();
data_check (f, "log.dat");
tgeneric (f, 2, 512, 7, 128);
check_exp_log ();
test_end ();
return 0;
}
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