added several hard-coded tests (and fixed bugs found)

git-svn-id: svn://scm.gforge.inria.fr/svn/mpfr/trunk@2644 280ebfd0-de03-0410-8827-d642c229c3f4

1 files changed, 119 insertions, 17 deletions

diff --git a/tests/tasin.c b/tests/tasin.c
index 3f0b6cdbe..e3694d9c9 100644
--- a/tests/tasin.c
+++ b/tests/tasin.c
@@ -28,36 +28,138 @@ MA 02111-1307, USA. */
 #define TEST_FUNCTION mpfr_asin
 #include "tgeneric.c"
 
-int
-main (void)
+static void
+special (void)
 {
-  mpfr_t x, y, z;
-
-  tests_start_mpfr ();
+  mpfr_t x, y;
+  mp_rnd_t r;
 
   mpfr_init (x);
   mpfr_init (y);
-  mpfr_init (z);
 
-  /* check that sin(-1) = -Pi/2 */
-  mpfr_set_si (x, -1, GMP_RNDN);
+  /* asin(NaN) = NaN */
+  mpfr_set_nan (x);
   mpfr_asin (y, x, GMP_RNDN);
-  mpfr_const_pi (z, GMP_RNDN);
-  mpfr_div_2exp (z, z, 1, GMP_RNDN);
-  mpfr_neg (z, z, GMP_RNDN);
-  if (mpfr_cmp (y, z))
+  if (!mpfr_nan_p (y))
     {
-      printf ("sin(-1) is wrong, expected -Pi/2, got ");
-      mpfr_out_str(stdout, 10, 0, y, GMP_RNDN);
-      putchar('\n');
+      printf ("Error: mpfr_asin (NaN) <> NaN\n");
       exit (1);
     }
 
-  test_generic (2, 100, 7);
+  /* asin(+/-Inf) = NaN */
+  mpfr_set_inf (x, 1);
+  mpfr_asin (y, x, GMP_RNDN);
+  if (!mpfr_nan_p (y))
+    {
+      printf ("Error: mpfr_asin (+Inf) <> NaN\n");
+      exit (1);
+    }
+  mpfr_set_inf (x, -1);
+  mpfr_asin (y, x, GMP_RNDN);
+  if (!mpfr_nan_p (y))
+    {
+      printf ("Error: mpfr_asin (-Inf) <> NaN\n");
+      exit (1);
+    }
+
+  /* asin(+/-2) = NaN */
+  mpfr_set_ui (x, 2, GMP_RNDN);
+  mpfr_asin (y, x, GMP_RNDN);
+  if (!mpfr_nan_p (y))
+    {
+      printf ("Error: mpfr_asin (+2) <> NaN\n");
+      exit (1);
+    }
+  mpfr_set_si (x, -2, GMP_RNDN);
+  mpfr_asin (y, x, GMP_RNDN);
+  if (!mpfr_nan_p (y))
+    {
+      printf ("Error: mpfr_asin (-2) <> NaN\n");
+      exit (1);
+    }
+
+  /* asin(+/-0) = +/-0 */
+  mpfr_set_ui (x, 0, GMP_RNDN);
+  mpfr_asin (y, x, GMP_RNDN);
+  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
+    {
+      printf ("Error: mpfr_asin (+0) <> +0\n");
+      exit (1);
+    }
+  mpfr_neg (x, x, GMP_RNDN);
+  mpfr_asin (y, x, GMP_RNDN);
+  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
+    {
+      printf ("Error: mpfr_asin (-0) <> -0\n");
+      exit (1);
+    }
+
+  /* asin(1) = Pi/2 */
+  for (r = 0; r < 4; r++)
+    {
+      mpfr_set_ui (x, 1, GMP_RNDN); /* exact */
+      mpfr_asin (y, x, r);
+      mpfr_const_pi (x, r);
+      mpfr_div_2exp (x, x, 1, GMP_RNDN); /* exact */
+      if (mpfr_cmp (x, y))
+        {
+          printf ("Error: asin(1) != Pi/2 for rnd=%s\n",
+                  mpfr_print_rnd_mode (r));
+          exit (1);
+        }
+    }
+
+  /* asin(-1) = -Pi/2 */
+  for (r = 0; r < 4; r++)
+    {
+      mpfr_set_si (x, -1, GMP_RNDN); /* exact */
+      mpfr_asin (y, x, r);
+      mpfr_const_pi (x, MPFR_INVERT_RND(r));
+      mpfr_neg (x, x, GMP_RNDN); /* exact */
+      mpfr_div_2exp (x, x, 1, GMP_RNDN); /* exact */
+      if (mpfr_cmp (x, y))
+        {
+          printf ("Error: asin(-1) != -Pi/2 for rnd=%s\n",
+                  mpfr_print_rnd_mode (r));
+          exit (1);
+        }
+    }
+
+  mpfr_set_prec (x, 32);
+  mpfr_set_prec (y, 32);
+
+  mpfr_set_str_binary (x, "0.1101110111111111001011101000101");
+  mpfr_asin (x, x, GMP_RNDN);
+  mpfr_set_str_binary (y, "1.00001100101011000001111100111");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error: mpfr_asin (1)\n");
+      exit (1);
+    }
+
+  mpfr_set_str_binary (x, "-0.01110111000011101010111100000101");
+  mpfr_asin (x, x, GMP_RNDN);
+  mpfr_set_str_binary (y, "-0.0111101111010100011111110101");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error: mpfr_asin (2)\n");
+      mpfr_print_binary (x); printf ("\n");
+      mpfr_print_binary (y); printf ("\n");
+      exit (1);
+    }
 
   mpfr_clear (x);
   mpfr_clear (y);
-  mpfr_clear (z);
+}
+
+int
+main (void)
+{
+  tests_start_mpfr ();
+
+  special ();
+
+  test_generic (2, 100, 7);
 
   tests_end_mpfr ();