Add hyperbolic sine function with tests.

git-svn-id: svn://scm.gforge.inria.fr/svn/mpc/trunk@127 211d60ee-9f03-0410-a15a-8952a2c7a4e4

1 files changed, 52 insertions, 0 deletions

diff --git a/src/sinh.c b/src/sinh.c
new file mode 100644
index 0000000..8d03d60
--- /dev/null
+++ b/src/sinh.c
@@ -0,0 +1,52 @@
+/* mpc_sinh -- hyperbolic sine of a complex number.
+
+Copyright (C) 2008 Philippe Th\'eveny, Andreas Enge
+
+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 "mpfr.h"
+#include "mpc.h"
+#include "mpc-impl.h"
+
+void
+mpc_sinh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd)
+{
+  /* sinh(op) = -i*sin(i*op) = conj(-i*sin(conj(-i*op))) */
+  mpc_t z;
+  mpc_t sin_z;
+  mpc_rnd_t rnd_z;
+
+  rnd_z = RNDC (MPC_RND_IM (rnd), MPC_RND_RE (rnd));
+
+  mpc_init3 (z, MPFR_PREC (MPC_IM (op)), MPFR_PREC (MPC_RE (op)));
+  mpc_init3 (sin_z, MPFR_PREC (MPC_IM (rop)), MPFR_PREC (MPC_RE (rop)));
+
+  /* z := conj(-i * op), note that the real and imaginary precision
+     may differ. */
+  mpfr_set (MPC_RE (z), MPC_IM (op), GMP_RNDN); /* exact */
+  mpfr_set (MPC_IM (z), MPC_RE (op), GMP_RNDN); /* exact */
+
+  /* rop = conj(-i * sin(z)) */
+  mpc_sin (sin_z, z, rnd_z);
+
+  mpfr_set (MPC_RE (rop), MPC_IM (sin_z), GMP_RNDN); /* exact */
+  mpfr_set (MPC_IM (rop), MPC_RE (sin_z), GMP_RNDN); /* exact */
+
+  mpc_clear (z);
+  mpc_clear (sin_z);
+}