-/* origin: OpenBSD /usr/src/lib/libm/src/s_catanh.c */
-/*
- * 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.
- */
-/*
- * Complex inverse hyperbolic tangent
- *
- *
- * SYNOPSIS:
- *
- * double complex catanh();
- * double complex z, w;
- *
- * w = catanh (z);
- *
- *
- * DESCRIPTION:
- *
- * Inverse tanh, equal to -i catan (iz);
- *
- * ACCURACY:
- *
- * Relative error:
- * arithmetic domain # trials peak rms
- * IEEE -10,+10 30000 2.3e-16 6.2e-17
- *
- */
-
#include "libm.h"
+/* atanh = -i atan(i z) */
+
double complex catanh(double complex z)
{
- // FIXME: -i, reeval
- return -1.0 * I * catan(z * I);
+ z = catan(cpack(-cimag(z), creal(z)));
+ return cpack(cimag(z), -creal(z));
}