Imported gcc-4.4.3

[msp430-gcc.git] / mpfr / tests / ttan.c

diff --git a/mpfr/tests/ttan.c b/mpfr/tests/ttan.c
new file mode 100644 (file)
index 0000000..5a55a0d
--- /dev/null
+++ b/mpfr/tests/ttan.c
@@ -0,0 +1,163 @@
+/* Test file for mpfr_tan.
+
+Copyright 2001, 2002, 2003, 2004, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
+Contributed by the Arenaire and Cacao projects, INRIA.
+
+This file is part of the GNU MPFR Library.
+
+The GNU MPFR 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 GNU MPFR 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 MPFR Library; see the file COPYING.LIB.  If not, write to
+the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
+MA 02110-1301, USA. */
+
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "mpfr-test.h"
+
+#define TEST_FUNCTION mpfr_tan
+#define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */
+#include "tgeneric.c"
+
+static void
+check_nans (void)
+{
+  mpfr_t  x, y;
+
+  mpfr_init2 (x, 123L);
+  mpfr_init2 (y, 123L);
+
+  mpfr_set_nan (x);
+  mpfr_tan (y, x, GMP_RNDN);
+  if (! mpfr_nan_p (y))
+    {
+      printf ("Error: tan(NaN) != NaN\n");
+      exit (1);
+    }
+
+  mpfr_set_inf (x, 1);
+  mpfr_tan (y, x, GMP_RNDN);
+  if (! mpfr_nan_p (y))
+    {
+      printf ("Error: tan(Inf) != NaN\n");
+      exit (1);
+    }
+
+  mpfr_set_inf (x, -1);
+  mpfr_tan (y, x, GMP_RNDN);
+  if (! mpfr_nan_p (y))
+    {
+      printf ("Error: tan(-Inf) != NaN\n");
+      exit (1);
+    }
+
+  /* exercise recomputation */
+  mpfr_set_prec (x, 14);
+  mpfr_set_str_binary (x, "0.10100000101010E0");
+  mpfr_set_prec (y, 24);
+  mpfr_tan (y, x, GMP_RNDU);
+  mpfr_set_prec (x, 24);
+  mpfr_set_str_binary (x, "101110011011001100100001E-24");
+  MPFR_ASSERTN(mpfr_cmp (x, y) == 0);
+
+  /* Compute ~Pi/2 to check overflow */
+  mpfr_set_prec (x, 20000);
+  mpfr_const_pi (x, GMP_RNDD);
+  mpfr_div_2ui (x, x, 1, GMP_RNDN);
+  mpfr_set_prec (y, 24);
+  mpfr_tan (y, x, GMP_RNDN);
+  if (mpfr_cmp_str (y, "0.100011101101011000100011E20001", 2, GMP_RNDN))
+    {
+      printf("Error computing tan(~Pi/2)\n");
+      mpfr_dump (y);
+      exit (1);
+    }
+
+  /* bug found by Kaveh Ghazi on 13 Jul 2007 */
+  mpfr_set_prec (x, 53);
+  mpfr_set_prec (y, 53);
+  mpfr_set_str_binary (x, "0.10011100110111000001000010110100101000000000000000000E34");
+  mpfr_tan (y, x, GMP_RNDN);
+  mpfr_set_str_binary (x, "0.1000010011001010001000010100000110100111000011010101E41");
+  MPFR_ASSERTN(mpfr_cmp (x, y) == 0);
+
+  mpfr_clear (x);
+  mpfr_clear (y);
+}
+
+int
+main (int argc, char *argv[])
+{
+  mpfr_t x;
+  unsigned int i;
+  unsigned int prec[10] = {14, 15, 19, 22, 23, 24, 25, 40, 41, 52};
+  unsigned int prec2[10] = {4, 5, 6, 19, 70, 95, 100, 106, 107, 108};
+
+  tests_start_mpfr ();
+
+  check_nans ();
+
+  mpfr_init (x);
+
+  mpfr_set_prec (x, 2);
+  mpfr_set_str (x, "0.5", 10, GMP_RNDN);
+  mpfr_tan (x, x, GMP_RNDD);
+  if (mpfr_cmp_ui_2exp(x, 1, -1))
+    {
+      printf ("mpfr_tan(0.5, GMP_RNDD) failed\n"
+              "expected 0.5, got");
+      mpfr_print_binary(x);
+      putchar('\n');
+      exit (1);
+    }
+
+  /* check that tan(3*Pi/4) ~ -1 */
+  for (i=0; i<10; i++)
+    {
+      mpfr_set_prec (x, prec[i]);
+      mpfr_const_pi (x, GMP_RNDN);
+      mpfr_mul_ui (x, x, 3, GMP_RNDN);
+      mpfr_div_ui (x, x, 4, GMP_RNDN);
+      mpfr_tan (x, x, GMP_RNDN);
+      if (mpfr_cmp_si (x, -1))
+        {
+          printf ("tan(3*Pi/4) fails for prec=%u\n", prec[i]);
+          exit (1);
+        }
+    }
+
+  /* check that tan(7*Pi/4) ~ -1 */
+  for (i=0; i<10; i++)
+    {
+      mpfr_set_prec (x, prec2[i]);
+      mpfr_const_pi (x, GMP_RNDN);
+      mpfr_mul_ui (x, x, 7, GMP_RNDN);
+      mpfr_div_ui (x, x, 4, GMP_RNDN);
+      mpfr_tan (x, x, GMP_RNDN);
+      if (mpfr_cmp_si (x, -1))
+        {
+          printf ("tan(3*Pi/4) fails for prec=%u\n", prec2[i]);
+          exit (1);
+        }
+    }
+
+  mpfr_clear (x);
+
+  test_generic (2, 100, 10);
+
+  data_check ("data/tan", mpfr_tan, "mpfr_tan");
+  bad_cases (mpfr_tan, mpfr_atan, "mpfr_tan", 256, -256, 255, 4, 128, 800, 40);
+
+  tests_end_mpfr ();
+  return 0;
+}