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+/* $OpenBSD: n_csinh.c,v 1.1 2008/10/07 22:25:53 martynas Exp $ */
+/*
+ * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+
+/* csinh
+ *
+ * Complex hyperbolic sine
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * double complex csinh();
+ * double complex z, w;
+ *
+ * w = csinh (z);
+ *
+ * DESCRIPTION:
+ *
+ * csinh z = (cexp(z) - cexp(-z))/2
+ * = sinh x * cos y + i cosh x * sin y .
+ *
+ * ACCURACY:
+ *
+ * Relative error:
+ * arithmetic domain # trials peak rms
+ * IEEE -10,+10 30000 3.1e-16 8.2e-17
+ *
+ */
+
+#include <complex.h>
+#include <math.h>
+
+double complex
+csinh(double complex z)
+{
+ double complex w;
+ double x, y;
+
+ x = creal(z);
+ y = cimag(z);
+ w = sinh (x) * cos (y) + (cosh (x) * sin (y)) * I;
+ return (w);
+}