--- /dev/null
+/* $NetBSD: casinl.c,v 1.1 2014/10/10 00:48:18 christos 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.
+ */
+
+#include <complex.h>
+#include <math.h>
+
+#ifdef __weak_alias
+__weak_alias(casinl, _casinl)
+#endif
+
+long double complex
+casinl(long double complex z)
+{
+ long double complex w;
+ long double complex ca, ct, zz, z2;
+ long double x, y;
+
+ x = creall(z);
+ y = cimagl(z);
+
+#if 0 /* MD: test is incorrect, casin(>1) is defined */
+ if (y == 0.0L) {
+ if (fabsl(x) > 1.0L) {
+ w = M_PI_2L + 0.0L * I;
+#if 0
+ mtherr ("casinl", DOMAIN);
+#endif
+ } else {
+ w = asinl(x) + 0.0L * I;
+ }
+ return w;
+ }
+#endif
+
+/* Power series expansion */
+/*
+b = cabsl(z);
+if( b < 0.125L )
+{
+z2.r = (x - y) * (x + y);
+z2.i = 2.0L * x * y;
+
+cn = 1.0L;
+n = 1.0L;
+ca.r = x;
+ca.i = y;
+sum.r = x;
+sum.i = y;
+do
+ {
+ ct.r = z2.r * ca.r - z2.i * ca.i;
+ ct.i = z2.r * ca.i + z2.i * ca.r;
+ ca.r = ct.r;
+ ca.i = ct.i;
+
+ cn *= n;
+ n += 1.0;
+ cn /= n;
+ n += 1.0;
+ b = cn/n;
+
+ ct.r *= b;
+ ct.i *= b;
+ sum.r += ct.r;
+ sum.i += ct.i;
+ b = fabsl(ct.r) + fabsl(ct.i);
+ }
+while( b > MACHEPL );
+w->r = sum.r;
+w->i = sum.i;
+return;
+}
+*/
+
+
+ ca = x + y * I;
+ ct = ca * I;
+ /* sqrtl( 1 - z*z) */
+ /* cmull( &ca, &ca, &zz ) */
+ /*x * x - y * y */
+ zz = (x - y) * (x + y) + (2.0L * x * y) * I;
+
+ zz = 1.0L - creall(zz) - cimagl(zz) * I;
+ z2 = csqrtl(zz);
+
+ zz = ct + z2;
+ zz = clogl(zz);
+ /* multiply by 1/i = -i */
+ w = zz * (-1.0L * I);
+ return w;
+}
+