File reorganisation into three new directories: src, tests and doc.

git-svn-id: svn://scm.gforge.inria.fr/svn/mpc/trunk@82 211d60ee-9f03-0410-a15a-8952a2c7a4e4

1 files changed, 220 insertions, 0 deletions

diff --git a/tests/tsqr.c b/tests/tsqr.c
new file mode 100644
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+++ b/tests/tsqr.c
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+/* tsqr -- test file for mpc_sqr.
+
+Copyright (C) 2002, 2005 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 (mpc_srcptr, mpc_rnd_t);
+void testsqr (long, long, mp_prec_t, mpc_rnd_t);
+void special (void);
+
+
+void cmpsqr (mpc_srcptr x, mpc_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, mpc_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 (MPC_RE(x), "1.11111011011000010101000000e-2", 2, GMP_RNDN);
+  mpfr_set_str (MPC_IM(x), "1.11010001010110111001110001e-3", 2, GMP_RNDN);
+
+  cmpsqr (x, 0);
+
+  mpc_clear (x);
+  mpc_clear (z);
+}
+
+
+int
+main()
+{
+  mpc_t x;
+  mpc_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;
+}