Add special values processing in mpc_sin as in the C99 standard

git-svn-id: svn://scm.gforge.inria.fr/svn/mpc/trunk@115 211d60ee-9f03-0410-a15a-8952a2c7a4e4

1 files changed, 227 insertions, 1 deletions

diff --git a/tests/tsin.c b/tests/tsin.c
index ff3ce84..22098c8 100644
--- a/tests/tsin.c
+++ b/tests/tsin.c
@@ -28,6 +28,231 @@ MA 02111-1307, USA. */
 #define TEST_FUNCTION mpc_sin
 #include "tgeneric.c"
 
+static void
+test_failed (mpc_t op, mpc_t get, mpc_t expected)
+{
+  printf ("mpc_sin(op) failed with ");
+  OUT (op);
+  printf ("     ");
+  OUT (get);
+  OUT (expected);
+  exit (1);
+}
+
+/* check special values as defined in C99 standard */
+static void
+special ()
+{
+  mpc_t z;
+  mpc_t s;
+  mpc_t c99;
+
+  mpc_init (z);
+  mpc_init (s);
+  mpc_init (c99);
+
+  mpfr_set_nan (MPC_RE (z));
+  /* sin(NaN +i*NaN) = NaN +i*NaN */
+  mpfr_set_nan (MPC_IM (z));
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, z);
+
+  /* sin(NaN +i*infinity) = NaN +/-i*infinity */
+  mpfr_set_inf (MPC_IM (z), +1);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_inf_p (MPC_IM (s)))
+    test_failed (z, s, z);
+
+  /* sin(NaN -i*infinity) = NaN -/+i*infinity */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_inf_p (MPC_IM (s)))
+    test_failed (z, s, z);
+
+  /* sin(NaN +i*y) = NaN +i*NaN where 0<|y|<infinity */
+  mpfr_set_ui (MPC_IM (z), 1, GMP_RNDN);
+  mpfr_set_nan (MPC_RE (c99));
+  mpfr_set_nan (MPC_IM (c99));
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  /* sin(NaN +i*0) = NaN +/-i*0 */
+  mpfr_set_ui (MPC_IM (z), 0, GMP_RNDN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_zero_p (MPC_IM (s)))
+    test_failed (z, s, z);
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_zero_p (MPC_IM (s)))
+    test_failed (z, s, z);
+
+  /* sin(+0 +i*NaN) = +0 +i*NaN */
+  mpc_mul_i (z, z, +1, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_zero_p (MPC_RE (s)) || mpfr_signbit (MPC_RE (s)) != 0
+      || !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, z);
+
+  /* sin(-0 +i*NaN) = -0 +i*NaN */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_zero_p (MPC_RE (s)) || mpfr_signbit (MPC_RE (s)) == 0
+      || !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, z);
+
+  /* sin(x +i*NaN) = NaN +i*NaN where x!=0 */
+  mpfr_set_inf (MPC_RE (z), +1);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+  mpfr_set_ui (MPC_RE (z), +1, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) && !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  mpfr_set_inf (MPC_RE(z), -1);
+  /* sin(-infinity -i*infinity) = NaN -/+i*infinity */
+  mpfr_set_inf (MPC_IM(z), -1);
+  mpfr_set_nan (MPC_RE(c99));
+  mpfr_set_inf (MPC_IM(c99), -1);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_inf_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  /* sin(-infinity +i*infinity) = NaN +/-i*infinity */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_conj (c99, c99, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_inf_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  /* sin(+infinity -i*infinity) = NaN -/+i*infinity */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_neg (c99, c99, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_inf_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  /* sin(+infinity +i*infinity) = NaN +/-i*infinity */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_conj (c99, c99, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_inf_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  /* sin(x +/-i*infinity) = infinity*(sin x -i*cos x) where 0<|x|<infinity */
+  mpfr_set_ui (MPC_RE (z), 1, GMP_RNDN);
+  mpfr_set_inf (MPC_RE (c99), +1);
+  mpfr_set_inf (MPC_IM (c99), +1);
+  mpc_sin (s, z, MPC_RNDUU);
+  if (mpc_cmp (s, c99) != 0)
+    test_failed (z, s, c99);
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDUU);
+  if (mpc_cmp (s, c99) != 0)
+    test_failed (z, s, c99);
+  mpfr_neg (MPC_RE (z), MPC_RE (z), GMP_RNDN);
+  mpfr_neg (MPC_RE (c99), MPC_RE (c99), GMP_RNDN);
+  mpc_sin (s, z, MPC_RNDUU);
+  if (mpc_cmp (s, c99) != 0)
+    test_failed (z, s, c99);
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDUU);
+  if (mpc_cmp (s, c99) != 0)
+    test_failed (z, s, c99);
+
+  /* sin(+0 -i*infinity) = +0 -i*infinity */
+  mpfr_set_ui (MPC_RE (z), 0, GMP_RNDN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (mpc_cmp (s, z) != 0)
+    test_failed (z, s, z);
+
+  /* sin(+0 +i*infinity) = +0 +i*infinity */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (mpc_cmp (s, z) != 0)
+    test_failed (z, s, z);
+
+  /* sin(-0 -i*infinity) = -0 -i*infinity */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (mpc_cmp (s, z) != 0)
+    test_failed (z, s, z);
+
+  /* sin(-0 +i*infinity) = -0 +i*infinity */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (mpc_cmp (s, z) != 0)
+    test_failed (z, s, z);
+
+  /* sin(-infinity +i*0) = NaN +/-i*0 */
+  mpfr_set_inf (MPC_RE (z), -1);
+  mpfr_set_ui (MPC_IM (z), 0, GMP_RNDN);
+  mpfr_set_nan (MPC_RE (c99));
+  mpfr_set_ui (MPC_IM (c99), 0, GMP_RNDN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_zero_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  /* sin(-infinity -i*0) = NaN -/+i*0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_conj (c99, c99, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_zero_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  /* sin(+infinity +i*0) = NaN +/-i*0 */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_neg (c99, c99, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_zero_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  /* sin(+infinity -i*0) = NaN -/+i*0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_conj (c99, c99, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_zero_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  /* sin(+/-infinity +i*y) = NaN +i*NaN where 0<|y|<infinity*/
+  mpfr_set_ui (MPC_IM (z), 1, GMP_RNDN);
+  mpfr_set_nan (MPC_IM (c99));
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_sin (s, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (s)) || !mpfr_nan_p (MPC_IM (s)))
+    test_failed (z, s, c99);
+
+  mpc_clear (c99);
+  mpc_clear (s);
+  mpc_clear (z);
+}
+
 int
 main()
 {
@@ -39,7 +264,7 @@ main()
   mpc_init (z);
   mpfr_init (g);
 
-  for (prec = 2; prec <= 1000; prec++)
+  for (prec = 2; prec <= 1000; prec+=2)
     {
       mpc_set_prec (x, prec);
       mpc_set_prec (z, prec);
@@ -65,6 +290,7 @@ main()
 	}
     }
 
+  special ();
   tgeneric ();
 
   mpc_clear (x);