Imported gcc-4.4.3

[msp430-gcc.git] / gmp / tests / mpf / t-sqrt.c

diff --git a/gmp/tests/mpf/t-sqrt.c b/gmp/tests/mpf/t-sqrt.c
new file mode 100644 (file)
index 0000000..2df7bb2
--- /dev/null
+++ b/gmp/tests/mpf/t-sqrt.c
@@ -0,0 +1,194 @@
+/* Test mpf_sqrt, mpf_mul.
+
+Copyright 1996, 2001, 2004 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP 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 MP 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 MP Library.  If not, see http://www.gnu.org/licenses/.  */
+
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "tests.h"
+
+#ifndef SIZE
+#define SIZE 16
+#endif
+
+void
+check_rand1 (int argc, char **argv)
+{
+  mp_size_t size;
+  mp_exp_t exp;
+  int reps = 20000;
+  int i;
+  mpf_t x, y, y2;
+  mp_size_t bprec = 100;
+  mpf_t rerr, max_rerr, limit_rerr;
+
+  if (argc > 1)
+    {
+      reps = strtol (argv[1], 0, 0);
+      if (argc > 2)
+       bprec = strtol (argv[2], 0, 0);
+    }
+
+  mpf_set_default_prec (bprec);
+
+  mpf_init_set_ui (limit_rerr, 1);
+  mpf_div_2exp (limit_rerr, limit_rerr, bprec);
+#if VERBOSE
+  mpf_dump (limit_rerr);
+#endif
+  mpf_init (rerr);
+  mpf_init_set_ui (max_rerr, 0);
+
+  mpf_init (x);
+  mpf_init (y);
+  mpf_init (y2);
+  for (i = 0; i < reps; i++)
+    {
+      size = urandom () % SIZE;
+      exp = urandom () % SIZE;
+      mpf_random2 (x, size, exp);
+
+      mpf_sqrt (y, x);
+      MPF_CHECK_FORMAT (y);
+      mpf_mul (y2, y, y);
+
+      mpf_reldiff (rerr, x, y2);
+      if (mpf_cmp (rerr, max_rerr) > 0)
+       {
+         mpf_set (max_rerr, rerr);
+#if VERBOSE
+         mpf_dump (max_rerr);
+#endif
+         if (mpf_cmp (rerr, limit_rerr) > 0)
+           {
+             printf ("ERROR after %d tests\n", i);
+             printf ("   x = "); mpf_dump (x);
+             printf ("   y = "); mpf_dump (y);
+             printf ("  y2 = "); mpf_dump (y2);
+             printf ("   rerr       = "); mpf_dump (rerr);
+             printf ("   limit_rerr = "); mpf_dump (limit_rerr);
+              printf ("in hex:\n");
+              mp_trace_base = 16;
+             mpf_trace ("   x  ", x);
+             mpf_trace ("   y  ", y);
+             mpf_trace ("   y2 ", y2);
+             mpf_trace ("   rerr      ", rerr);
+             mpf_trace ("   limit_rerr", limit_rerr);
+             abort ();
+           }
+       }
+    }
+
+  mpf_clear (limit_rerr);
+  mpf_clear (rerr);
+  mpf_clear (max_rerr);
+
+  mpf_clear (x);
+  mpf_clear (y);
+  mpf_clear (y2);
+}
+
+void
+check_rand2 (void)
+{
+  unsigned long      max_prec = 20;
+  unsigned long      min_prec = __GMPF_BITS_TO_PREC (1);
+  gmp_randstate_ptr  rands = RANDS;
+  unsigned long      x_prec, r_prec;
+  mpf_t              x, r, s;
+  int                i;
+
+  mpf_init (x);
+  mpf_init (r);
+  mpf_init (s);
+  refmpf_set_prec_limbs (s, 2*max_prec+10);
+
+  for (i = 0; i < 500; i++)
+    {
+      /* input precision */
+      x_prec = gmp_urandomm_ui (rands, max_prec-min_prec) + min_prec;
+      refmpf_set_prec_limbs (x, x_prec);
+
+      /* result precision */
+      r_prec = gmp_urandomm_ui (rands, max_prec-min_prec) + min_prec;
+      refmpf_set_prec_limbs (r, r_prec);
+
+      mpf_random2 (x, x_prec, 1000);
+
+      mpf_sqrt (r, x);
+      MPF_CHECK_FORMAT (r);
+
+      /* Expect to prec limbs of result.
+         In the current implementation there's no stripping of low zero
+         limbs in mpf_sqrt, so size should be exactly prec.  */
+      if (SIZ(r) != r_prec)
+        {
+          printf ("mpf_sqrt wrong number of result limbs\n");
+          mpf_trace ("  x", x);
+          mpf_trace ("  r", r);
+          printf    ("  r_prec=%lu\n", r_prec);
+          printf    ("  SIZ(r)  %ld\n", (long) SIZ(r));
+          printf    ("  PREC(r) %ld\n", (long) PREC(r));
+          abort ();
+        }
+
+      /* Must have r^2 <= x, since r has been truncated. */
+      mpf_mul (s, r, r);
+      if (! (mpf_cmp (s, x) <= 0))
+        {
+          printf    ("mpf_sqrt result too big\n");
+          mpf_trace ("  x", x);
+          printf    ("  r_prec=%lu\n", r_prec);
+          mpf_trace ("  r", r);
+          mpf_trace ("  s", s);
+          abort ();
+        }
+
+      /* Must have (r+ulp)^2 > x, or else r is too small. */
+      refmpf_add_ulp (r);
+      mpf_mul (s, r, r);
+      if (! (mpf_cmp (s, x) > 0))
+        {
+          printf    ("mpf_sqrt result too small\n");
+          mpf_trace ("  x", x);
+          printf    ("  r_prec=%lu\n", r_prec);
+          mpf_trace ("  r+ulp", r);
+          mpf_trace ("  s", s);
+          abort ();
+        }
+    }
+
+  mpf_clear (x);
+  mpf_clear (r);
+  mpf_clear (s);
+}
+
+int
+main (int argc, char **argv)
+{
+  tests_start ();
+  mp_trace_base = -16;
+
+  check_rand1 (argc, argv);
+  check_rand2 ();
+
+  tests_end ();
+  exit (0);
+}