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+/* $NetBSD: cacosh.c,v 1.2 2009/08/03 19:41:32 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ *
+ * imported and modified include for newlib 2010/10/03
+ * Marco Atzeri <marco_atzeri@yahoo.it>
+ */
+
+/*
+FUNCTION
+ <<cacosh>>, <<cacoshf>>---complex arc hyperbolic cosine
+
+INDEX
+ cacosh
+INDEX
+ cacoshf
+
+ANSI_SYNOPSIS
+ #include <complex.h>
+ double complex cacosh(double complex <[z]>);
+ float complex cacoshf(float complex <[z]>);
+
+
+DESCRIPTION
+ These functions compute the complex arc hyperbolic cosine of <[z]>,
+ with a branch cut at values less than 1 along the real axis.
+
+ <<cacoshf>> is identical to <<cacosh>>, except that it performs
+ its calculations on <<floats complex>>.
+
+RETURNS
+ @ifnottex
+ These functions return the complex arc hyperbolic cosine value,
+ in the range of a half-strip of non-negative values along the
+ real axis and in the interval [-i * pi, +i * pi] along the
+ imaginary axis.
+ @end ifnottex
+ @tex
+ These functions return the complex arc hyperbolic cosine value,
+ in the range of a half-strip of non-negative values along the
+ real axis and in the interval [$-i\pi$, $+i\pi$] along the
+ imaginary axis.
+ @end tex
+
+PORTABILITY
+ <<cacosh>> and <<cacoshf>> are ISO C99
+
+QUICKREF
+ <<cacosh>> and <<cacoshf>> are ISO C99
+
+*/
+
+
+#include <complex.h>
+
+double complex
+cacosh(double complex z)
+{
+ double complex w;
+
+#if 0 /* does not give the principal value */
+ w = I * cacos(z);
+#else
+ w = clog(z + csqrt(z + 1) * csqrt(z - 1));
+#endif
+ return w;
+}