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/* template for complex -> complex function, for example acos
Copyright (C) 2020 INRIA
This file is part of GNU MPC.
GNU MPC 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.
GNU MPC 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 this program. If not, see http://www.gnu.org/licenses/ .
*/
#define CAT1(X,Y) X ## Y
#define CAT2(X,Y) CAT1(X,Y)
#define STRINGIFY(x) #x
#define TOSTRING(x) STRINGIFY(x)
#define FUN CAT2(test_,FOO)
#define CHECK CAT2(check_,FOO)
#define MPC_FOO CAT2(mpc_,FOO)
#define CFOO CAT2(CAT2(c,FOO),SUFFIX)
#define BAR TOSTRING(FOO)
#define EXTRA 20
/* routine to double-check result from MPC with more precision and without
reduced exponent range */
static void
CHECK (mpc_t x, mpc_t z)
{
mpfr_exp_t saved_emin = mpfr_get_emin ();
mpfr_exp_t saved_emax = mpfr_get_emax ();
mpfr_prec_t p = mpfr_get_prec (mpc_realref (x)), pp = p + EXTRA;
mpc_t t;
int ok, inex_re, inex_im;
/* enlarge exponent range to the largest possible */
mpfr_set_emin (mpfr_get_emin_min ());
mpfr_set_emax (mpfr_get_emax_max ());
mpc_init2 (t, pp);
MPC_FOO (t, x, MPC_RNDNN);
inex_re = mpfr_prec_round (mpc_realref (t), p, MPFR_RNDN);
inex_im = mpfr_prec_round (mpc_imagref (t), p, MPFR_RNDN);
/* restore exponent range */
mpfr_set_emin (saved_emin);
mpfr_set_emax (saved_emax);
inex_re = mpfr_check_range (mpc_realref (t), inex_re, MPFR_RNDN);
inex_re = mpfr_subnormalize (mpc_realref (t), inex_re, MPFR_RNDN);
inex_im = mpfr_check_range (mpc_imagref (t), inex_im, MPFR_RNDN);
inex_im = mpfr_subnormalize (mpc_imagref (t), inex_im, MPFR_RNDN);
/* check real parts agree */
ok = mpfr_agree (mpc_realref (z), mpc_realref (t), inex_re)
&& mpfr_agree (mpc_imagref (z), mpc_imagref (t), inex_im);
if (!ok)
{
mpfr_printf ("Potential bug in mpc_%s for x=(%Re,%Re)\n", BAR,
mpc_realref (x), mpc_imagref (x));
mpfr_printf (" mpc_%s to precision %lu gives (%Re,%Re)\n", BAR, p,
mpc_realref (z), mpc_imagref (z));
mpfr_printf (" mpc_%s to precision %lu gives (%Re,%Re)\n", BAR, pp,
mpc_realref (t), mpc_imagref (t));
exit (1);
}
mpc_clear (t);
}
static void
FUN (mpfr_prec_t p, unsigned long n)
{
unsigned long i = 0;
mpc_t x, z, t;
TYPE complex xx, zz;
int inex, cmp;
unsigned long errors = 0, max_err_re = 0, max_err_im = 0;
/* allow reduced exponent range */
#if defined(FOO_EMIN) || defined(FOO_EMAX)
mpfr_exp_t saved_emin = emin, saved_emax = emax;
emin = FOO_EMIN;
emax = FOO_EMAX;
#endif
if (verbose > 0)
printf ("Testing function %s\n", BAR);
gmp_randseed_ui (state, seed);
mpc_init2 (x, p);
mpc_init2 (z, p);
mpc_init2 (t, p);
for (i = 0; i < n; i++)
{
mpcheck_random (x);
inex = MPC_FOO (z, x, MPC_RNDNN);
mpfr_subnormalize (mpc_realref (z), MPC_INEX_RE(inex), MPFR_RNDN);
mpfr_subnormalize (mpc_imagref (z), MPC_INEX_IM(inex), MPFR_RNDN);
xx = mpc_get_type (x, MPC_RNDNN);
zz = CFOO (xx);
mpc_set_type (t, zz, MPFR_RNDN);
cmp = mpcheck_mpc_cmp (t, z);
if (cmp != 0)
{
unsigned long err_re = ulp_error (mpc_realref (t), mpc_realref (z));
unsigned long err_im = ulp_error (mpc_imagref (t), mpc_imagref (z));
if (verbose > 0 && (err_re > max_err_re || err_im > max_err_im))
{
mpfr_printf (" mpc_%s and c%s differ by (%lu,%lu) ulp(s)\n for x=(%Re,%Re)\n",
BAR, BAR, err_re, err_im,
mpc_realref (x), mpc_imagref (x));
mpfr_printf (" mpc_%s gives (%Re,%Re)\n", BAR,
mpc_realref (z), mpc_imagref (z));
mpfr_printf (" c%s gives (%Re,%Re)\n", BAR,
mpc_realref (t), mpc_imagref (t));
}
if (recheck)
CHECK (x, z);
errors ++;
if (err_re > max_err_re)
{
max_err_re = err_re;
if (max_err_re > Max_err_re)
Max_err_re = max_err_re;
}
if (err_im > max_err_im)
{
max_err_im = err_im;
if (max_err_im > Max_err_im)
Max_err_im = max_err_im;
}
}
}
mpc_clear (x);
mpc_clear (z);
mpc_clear (t);
printf ("Errors for %s: %lu/%lu (max %lu,%lu) [seed %lu]\n", BAR,
errors, n, max_err_re, max_err_im, seed);
#if defined(FOO_EMIN) || defined(FOO_EMAX)
emin = saved_emin;
emax = saved_emax;
#endif
}
#undef FOO
#undef CFOO
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