Adding cephes_subrl.h and cephes_subrl.c from NetBSD.

newlib/libm/complex/Makefile.am

@@ -11,7 +11,8 @@ src = cabs.c cacos.c cacosh.c carg.c casin.c casinh.c \
       csin.c csinh.c csqrt.c ctan.c ctanh.c
 
 lsrc = cabsl.c creall.c cimagl.c ccoshl.c cacoshl.c \
-       clogl.c csqrtl.c cargl.c cprojl.c cexpl.c
+       clogl.c csqrtl.c cargl.c cprojl.c cexpl.c \
+       cephes_subrl.c 
 
 fsrc =	cabsf.c casinf.c ccosf.c cimagf.c cprojf.c  \
         csqrtf.c cacosf.c casinhf.c ccoshf.c clogf.c clog10f.c \
@@ -44,4 +45,4 @@ CHAPTERS = complex.tex
 
 # A partial dependency list.
 
-$(lib_a_OBJECTS): $(srcdir)/../../libc/include/complex.h $(srcdir)/cephes_subr.h $(srcdir)/cephes_subrf.h
+$(lib_a_OBJECTS): $(srcdir)/../../libc/include/complex.h $(srcdir)/cephes_subr.h $(srcdir)/cephes_subrf.h  $(srcdir)/cephes_subrl.h

newlib/libm/complex/cephes_subrl.c

@@ -0,0 +1,128 @@
+/* $NetBSD: cephes_subrl.c,v 1.2 2014/10/10 14:06:40 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>
+#include "cephes_subrl.h"
+
+/* calculate cosh and sinh */
+
+void
+_cchshl(long double x, long double *c, long double *s)
+{
+	long double e, ei;
+
+	if (fabsl(x) <= 0.5L) {
+		*c = coshl(x);
+		*s = sinhl(x);
+	} else {
+		e = expl(x);
+		ei = 0.5L / e;
+		e = 0.5L * e;
+		*s = e - ei;
+		*c = e + ei;
+	}
+}
+
+/* Program to subtract nearest integer multiple of PI */
+
+/* extended precision value of PI: */
+static const long double DP1 = 3.14159265358979323829596852490908531763125L;
+static const long double DP2 = 1.6667485837041756656403424829301998703007e-19L;
+#ifndef __vax__
+static const long double DP3 = 1.8830410776607851167459095484560349402753e-39L;
+#define MACHEPL 1.1e-38L
+#else
+static const long double DP3 = 0L;
+#define MACHEPL 1.1e-19L
+#endif
+
+long double
+_redupil(long double x)
+{
+	long double t;
+	long long i;
+
+	t = x / M_PIL;
+	if (t >= 0.0L)
+		t += 0.5L;
+	else
+		t -= 0.5L;
+
+	i = t;	/* the multiple */
+	t = i;
+	t = ((x - t * DP1) - t * DP2) - t * DP3;
+	return t;
+}
+
+/* Taylor series expansion for cosh(2y) - cos(2x) */
+
+long double
+_ctansl(long double complex z)
+{
+	long double f, x, x2, y, y2, rn, t;
+	long double d;
+
+	x = fabsl(2.0L * creall(z));
+	y = fabsl(2.0L * cimagl(z));
+
+	x = _redupil(x);
+
+	x = x * x;
+	y = y * y;
+	x2 = 1.0;
+	y2 = 1.0;
+	f = 1.0;
+	rn = 0.0;
+	d = 0.0;
+	do {
+		rn += 1.0L;
+		f *= rn;
+		rn += 1.0L;
+		f *= rn;
+		x2 *= x;
+		y2 *= y;
+		t = y2 + x2;
+		t /= f;
+		d += t;
+
+		rn += 1.0L;
+		f *= rn;
+		rn += 1.0L;
+		f *= rn;
+		x2 *= x;
+		y2 *= y;
+		t = y2 - x2;
+		t /= f;
+		d += t;
+	} while (fabsl(t/d) > MACHEPL);
+	return d;
+}

newlib/libm/complex/cephes_subrl.h

@@ -0,0 +1,9 @@
+/* $NetBSD: cephes_subrl.h,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+void _cchshl(long double, long double *, long double *);
+long double _redupil(long double);
+long double _ctansl(long double complex);
+
+#define	M_PIL	3.14159265358979323846264338327950280e+00L
+#define	M_PI_2L	1.57079632679489661923132169163975140e+00L
+