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/* tsqr -- test file for mpc_sqr.
Copyright (C) 2002 Andreas Enge, 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 <stdio.h>
#include <stdlib.h>
#include "gmp.h"
#include "mpfr.h"
#include "mpc.h"
#include "mpc-impl.h"
void cmpsqr _PROTO((mpc_srcptr, mp_rnd_t));
void testsqr _PROTO((long, long, mp_prec_t, mp_rnd_t));
void special _PROTO((void));
void cmpsqr (mpc_srcptr x, mp_rnd_t rnd)
/* computes the square of x with the specific function or by simple */
/* multiplication using the rounding mode rnd and compares the results */
/* and return values. */
/* In our current test suite, the real and imaginary parts of x have */
/* the same precision, and we use this precision also for the result. */
/* Furthermore, we check whether computing the square in the same */
/* place yields the same result. */
/* We also compute the result with four times the precision and check */
/* whether the rounding is correct. Error reports in this part of the */
/* algorithm might still be wrong, though, since there are two */
/* consecutive roundings. */
{
mpc_t z, t, u;
int inexact_z, inexact_t;
mpc_init2 (z, MPC_MAX_PREC (x));
mpc_init2 (t, MPC_MAX_PREC (x));
mpc_init2 (u, 4 * MPC_MAX_PREC (x));
inexact_z = mpc_sqr (z, x, rnd);
inexact_t = mpc_mul (t, x, x, rnd);
if (mpc_cmp (z, t))
{
fprintf (stderr, "sqr and mul differ for rnd=(%s,%s) \nx=",
mpfr_print_rnd_mode(MPC_RND_RE(rnd)),
mpfr_print_rnd_mode(MPC_RND_IM(rnd)));
mpc_out_str (stderr, 2, 0, x, MPC_RNDNN);
fprintf (stderr, "\nmpc_sqr gives ");
mpc_out_str (stderr, 2, 0, z, MPC_RNDNN);
fprintf (stderr, "\nmpc_mul gives ");
mpc_out_str (stderr, 2, 0, t, MPC_RNDNN);
fprintf (stderr, "\n");
exit (1);
}
if (inexact_z != inexact_t)
{
fprintf (stderr, "The return values of sqr and mul differ for rnd=(%s,%s) \nx= ",
mpfr_print_rnd_mode(MPC_RND_RE(rnd)),
mpfr_print_rnd_mode(MPC_RND_IM(rnd)));
mpc_out_str (stderr, 2, 0, x, MPC_RNDNN);
fprintf (stderr, "\nx^2=");
mpc_out_str (stderr, 2, 0, z, MPC_RNDNN);
fprintf (stderr, "\nmpc_sqr gives %i", inexact_z);
fprintf (stderr, "\nmpc_mul gives %i", inexact_t);
fprintf (stderr, "\n");
exit (1);
}
mpc_set (t, x, MPC_RNDNN);
inexact_t = mpc_sqr (t, t, rnd);
if (mpc_cmp (z, t))
{
fprintf (stderr, "sqr and sqr in place differ for rnd=(%s,%s) \nx=",
mpfr_print_rnd_mode(MPC_RND_RE(rnd)),
mpfr_print_rnd_mode(MPC_RND_IM(rnd)));
mpc_out_str (stderr, 2, 0, x, MPC_RNDNN);
fprintf (stderr, "\nmpc_sqr gives ");
mpc_out_str (stderr, 2, 0, z, MPC_RNDNN);
fprintf (stderr, "\nmpc_sqr in place gives ");
mpc_out_str (stderr, 2, 0, t, MPC_RNDNN);
fprintf (stderr, "\n");
exit (1);
}
if (inexact_z != inexact_t)
{
fprintf (stderr, "The return values of sqr and sqr in place differ for rnd=(%s,%s) \nx= ",
mpfr_print_rnd_mode(MPC_RND_RE(rnd)),
mpfr_print_rnd_mode(MPC_RND_IM(rnd)));
mpc_out_str (stderr, 2, 0, x, MPC_RNDNN);
fprintf (stderr, "\nx^2=");
mpc_out_str (stderr, 2, 0, z, MPC_RNDNN);
fprintf (stderr, "\nmpc_sqr gives %i", inexact_z);
fprintf (stderr, "\nmpc_sqr in place gives %i", inexact_t);
fprintf (stderr, "\n");
exit (1);
}
mpc_sqr (u, x, rnd);
mpc_set (t, u, rnd);
if (mpc_cmp (z, t))
{
fprintf (stderr, "rounding in sqr might be incorrect for rnd=(%s,%s) \nx=",
mpfr_print_rnd_mode(MPC_RND_RE(rnd)),
mpfr_print_rnd_mode(MPC_RND_IM(rnd)));
mpc_out_str (stderr, 2, 0, x, MPC_RNDNN);
fprintf (stderr, "\nmpc_sqr gives ");
mpc_out_str (stderr, 2, 0, z, MPC_RNDNN);
fprintf (stderr, "\nmpc_sqr quadruple precision gives ");
mpc_out_str (stderr, 2, 0, u, MPC_RNDNN);
fprintf (stderr, "\nand is rounded to ");
mpc_out_str (stderr, 2, 0, t, MPC_RNDNN);
fprintf (stderr, "\n");
exit (1);
}
mpc_clear (z);
mpc_clear (t);
}
void
testsqr (long a, long b, mp_prec_t prec, mp_rnd_t rnd)
{
mpc_t x;
mpc_init2 (x, prec);
mpc_set_si_si (x, a, b, rnd);
cmpsqr (x, rnd);
mpc_clear (x);
}
void
special ()
{
mpc_t x, z;
int inexact;
mpc_init (x);
mpc_init (z);
mpc_set_prec (x, 8);
mpc_set_prec (z, 8);
mpc_set_si_si (x, 4, 3, MPC_RNDNN);
inexact = mpc_sqr (z, x, MPC_RNDNN);
if (MPC_INEX_RE(inexact) || MPC_INEX_IM(inexact))
{
fprintf (stderr, "Error: (4+3*I)^2 should be exact with prec=8\n");
exit (1);
}
mpc_set_prec (x, 27);
mpfr_set_str_raw (MPC_RE(x), "1.11111011011000010101000000e-2");
mpfr_set_str_raw (MPC_IM(x), "1.11010001010110111001110001e-3");
cmpsqr (x, 0);
mpc_clear (x);
mpc_clear (z);
}
int
main()
{
mpc_t x;
mp_rnd_t rnd_re, rnd_im;
mp_prec_t prec;
int i;
special ();
testsqr (247, -65, 8, 24);
testsqr (5, -896, 3, 2);
testsqr (-3, -512, 2, 16);
testsqr (266013312, 121990769, 27, 0);
testsqr (170, 9, 8, 0);
testsqr (768, 85, 8, 16);
testsqr (145, 1816, 8, 24);
testsqr (0, 1816, 8, 24);
testsqr (145, 0, 8, 24);
mpc_init (x);
for (prec = 2; prec < 1000; prec++)
{
mpc_set_prec (x, prec);
for (i = 0; i < 1000/prec; i++)
{
mpc_random (x);
for (rnd_re = 0; rnd_re < 4; rnd_re ++)
for (rnd_im = 0; rnd_im < 4; rnd_im ++)
cmpsqr (x, RNDC(rnd_re, rnd_im));
}
}
mpc_clear (x);
return 0;
}
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