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Adding some long double complex methods from NetBSD
- From: Aditya Upadhyay <aadit0402 at gmail dot com>
- To: newlib at sourceware dot org
- Date: Mon, 26 Jun 2017 14:43:14 +0530
- Subject: Adding some long double complex methods from NetBSD
- Authentication-results: sourceware.org; auth=none
Hello Developers,
I have ported some of the long double complex methods from NetBSD. I
am requesting you to please review the patch and suggest me needed
modification.
Thanks & Regards,
Aditya Upadhyay
From aedc7118fc0b7103982f544ad737e12d66f4f8bd Mon Sep 17 00:00:00 2001
From: Aditya Upadhyay <aadit0402@gmail.com>
Date: Mon, 26 Jun 2017 14:38:38 +0530
Subject: [PATCH] Importing some long double complex methods from NetBSD.
---
newlib/libm/complex/Makefile.am | 4 +-
newlib/libm/complex/cacoshl.c | 45 +++++++++++++
newlib/libm/complex/cacosl.c | 45 +++++++++++++
newlib/libm/complex/cargl.c | 18 ++++++
newlib/libm/complex/ccosl.c | 45 +++++++++++++
newlib/libm/complex/cephes_subrl.c | 128 +++++++++++++++++++++++++++++++++++++
newlib/libm/complex/cephes_subrl.h | 9 +++
newlib/libm/complex/cexpl.c | 46 +++++++++++++
newlib/libm/complex/clogl.c | 46 +++++++++++++
newlib/libm/complex/cprojl.c | 64 +++++++++++++++++++
newlib/libm/complex/csqrtl.c | 112 ++++++++++++++++++++++++++++++++
11 files changed, 560 insertions(+), 2 deletions(-)
create mode 100644 newlib/libm/complex/cacoshl.c
create mode 100644 newlib/libm/complex/cacosl.c
create mode 100644 newlib/libm/complex/cargl.c
create mode 100644 newlib/libm/complex/ccosl.c
create mode 100644 newlib/libm/complex/cephes_subrl.c
create mode 100644 newlib/libm/complex/cephes_subrl.h
create mode 100644 newlib/libm/complex/cexpl.c
create mode 100644 newlib/libm/complex/clogl.c
create mode 100644 newlib/libm/complex/cprojl.c
create mode 100644 newlib/libm/complex/csqrtl.c
diff --git a/newlib/libm/complex/Makefile.am b/newlib/libm/complex/Makefile.am
index 402053f..bb3ffef 100644
--- a/newlib/libm/complex/Makefile.am
+++ b/newlib/libm/complex/Makefile.am
@@ -10,7 +10,7 @@ src = cabs.c cacos.c cacosh.c carg.c casin.c casinh.c \
cpow.c cproj.c creal.c \
csin.c csinh.c csqrt.c ctan.c ctanh.c
-lsrc = cabsl.c creall.c cimagl.c ccoshl.c
+lsrc = cabsl.c creall.c cimagl.c ccoshl.c cacoshl.c csqrtl.c clogl.c cephes_subrl.c cargl.c cprojl.c cexpl.c cacosl.c ccosl.c
fsrc = cabsf.c casinf.c ccosf.c cimagf.c cprojf.c \
csqrtf.c cacosf.c casinhf.c ccoshf.c clogf.c clog10f.c \
@@ -43,4 +43,4 @@ 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
diff --git a/newlib/libm/complex/cacoshl.c b/newlib/libm/complex/cacoshl.c
new file mode 100644
index 0000000..4e4e006
--- /dev/null
+++ b/newlib/libm/complex/cacoshl.c
@@ -0,0 +1,45 @@
+/* $NetBSD: cacoshl.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>
+
+long double complex
+cacoshl(long double complex z)
+{
+ long double complex w;
+
+#if 0 /* does not give the principal value */
+ w = I * cacosl(z);
+#else
+ w = clogl(z + csqrtl(z + 1) * csqrtl(z - 1));
+#endif
+ return w;
+}
diff --git a/newlib/libm/complex/cacosl.c b/newlib/libm/complex/cacosl.c
new file mode 100644
index 0000000..6a05c8c
--- /dev/null
+++ b/newlib/libm/complex/cacosl.c
@@ -0,0 +1,45 @@
+/* $NetBSD: cacosl.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>
+#include "cephes_subrl.h"
+
+long double complex
+cacosl(long double complex z)
+{
+ long double complex w;
+
+ w = casinl(z);
+ w = (M_PI_2L - creall(w)) - cimagl(w) * I;
+ return w;
+}
+
diff --git a/newlib/libm/complex/cargl.c b/newlib/libm/complex/cargl.c
new file mode 100644
index 0000000..d2885a4
--- /dev/null
+++ b/newlib/libm/complex/cargl.c
@@ -0,0 +1,18 @@
+/* $NetBSD: cargl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*
+ * Public domain.
+ */
+
+#include <complex.h>
+#include <math.h>
+
+long double
+cargl(long double complex z)
+{
+ #ifdef _LDBL_EQ_DBL
+ return carg (z);
+ #else
+ return atan2l (imag (z), real (z));
+ #endif
+}
diff --git a/newlib/libm/complex/ccosl.c b/newlib/libm/complex/ccosl.c
new file mode 100644
index 0000000..c310f40
--- /dev/null
+++ b/newlib/libm/complex/ccosl.c
@@ -0,0 +1,45 @@
+/* $NetBSD: ccosl.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>
+#include "cephes_subrl.h"
+
+long double complex
+ccosl(long double complex z)
+{
+ long double complex w;
+ long double ch, sh;
+
+ _cchshl(cimagl(z), &ch, &sh);
+ w = cosl(creall(z)) * ch - (sinl(creall(z)) * sh) * I;
+ return w;
+}
diff --git a/newlib/libm/complex/cephes_subrl.c b/newlib/libm/complex/cephes_subrl.c
new file mode 100644
index 0000000..8af11df
--- /dev/null
+++ b/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;
+}
diff --git a/newlib/libm/complex/cephes_subrl.h b/newlib/libm/complex/cephes_subrl.h
new file mode 100644
index 0000000..6354b23
--- /dev/null
+++ b/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
+
diff --git a/newlib/libm/complex/cexpl.c b/newlib/libm/complex/cexpl.c
new file mode 100644
index 0000000..8b56634
--- /dev/null
+++ b/newlib/libm/complex/cexpl.c
@@ -0,0 +1,46 @@
+/* $NetBSD: cexpl.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>
+
+long double complex
+cexpl(long double complex z)
+{
+ long double complex w;
+ long double r, x, y;
+
+ x = creall(z);
+ y = cimagl(z);
+ r = expl(x);
+ w = r * cosl(y) + r * sinl(y) * I;
+ return w;
+}
diff --git a/newlib/libm/complex/clogl.c b/newlib/libm/complex/clogl.c
new file mode 100644
index 0000000..3644a44
--- /dev/null
+++ b/newlib/libm/complex/clogl.c
@@ -0,0 +1,46 @@
+/* $NetBSD: clogl.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>
+
+long double complex
+clogl(long double complex z)
+{
+ long double complex w;
+ long double p, rr;
+
+ rr = cabsl(z);
+ p = logl(rr);
+ rr = atan2l(cimagl(z), creall(z));
+ w = p + rr * I;
+ return w;
+}
diff --git a/newlib/libm/complex/cprojl.c b/newlib/libm/complex/cprojl.c
new file mode 100644
index 0000000..e71c773
--- /dev/null
+++ b/newlib/libm/complex/cprojl.c
@@ -0,0 +1,64 @@
+/* $NetBSD: cprojl.c,v 1.7 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2010 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * 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 <sys/cdefs.h>
+__RCSID("$NetBSD: cprojl.c,v 1.7 2014/10/10 00:48:18 christos Exp $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "../common/fdlibm.h"
+
+/*
+ * cprojl(long double complex z)
+ *
+ * These functions return the value of the projection (not stereographic!)
+ * onto the Riemann sphere.
+ *
+ * z projects to z, except that all complex infinities (even those with one
+ * infinite part and one NaN part) project to positive infinity on the real axis.
+ * If z has an infinite part, then cproj(z) shall be equivalent to:
+ *
+ * INFINITY + I * copysign(0.0, cimag(z))
+ */
+long double complex
+cprojl(long double complex z)
+{
+ long_double_complex w = { .z = z };
+
+ /*CONSTCOND*/
+ if (isinf(creall(z)) || isinf(cimagl(z))) {
+#ifdef __INFINITY
+ REAL_PART(w) = HUGE_VAL;
+#else
+ REAL_PART(w) = INFINITY;
+#endif
+ IMAG_PART(w) = copysignl(0.0L, cimagl(z));
+ }
+
+ return (w.z);
+}
diff --git a/newlib/libm/complex/csqrtl.c b/newlib/libm/complex/csqrtl.c
new file mode 100644
index 0000000..c10a126
--- /dev/null
+++ b/newlib/libm/complex/csqrtl.c
@@ -0,0 +1,112 @@
+/*-
+ * Copyright (c) 2007-2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * 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 AUTHOR 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 AUTHOR 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 <sys/cdefs.h>
+#if 0
+__FBSDID("$FreeBSD: head/lib/msun/src/s_csqrtl.c 181402 2008-08-08 00:15:16Z das $");
+#else
+__RCSID("$NetBSD: csqrtl.c,v 1.2 2014/10/11 00:43:51 christos Exp $");
+#endif
+
+#include <complex.h>
+#include <float.h>
+#include <math.h>
+#include <stdbool.h>
+/*
+ * gcc doesn't implement complex multiplication or division correctly,
+ * so we need to handle infinities specially. We turn on this pragma to
+ * notify conforming c99 compilers that the fast-but-incorrect code that
+ * gcc generates is acceptable, since the special cases have already been
+ * handled.
+ */
+// #pragma STDC CX_LIMITED_RANGE ON
+
+/* We risk spurious overflow for components >= LDBL_MAX / (1 + sqrt(2)). */
+#define THRESH (LDBL_MAX / 2.414213562373095048801688724209698L)
+
+#define cpackl(r, i) ((r) + (i) * I)
+
+long double complex
+csqrtl(long double complex z)
+{
+ long double complex result;
+ long double a, b;
+ long double t;
+ bool scale;
+
+ a = creall(z);
+ b = cimagl(z);
+
+ /* Handle special cases. */
+ if (z == 0.0L)
+ return (cpackl(0.0L, b));
+ if (isinf(b))
+ return (cpackl(INFINITY, b));
+ if (isnan(a)) {
+ t = (b - b) / (b - b); /* raise invalid if b is not a NaN */
+ return (cpackl(a, t)); /* return NaN + NaN i */
+ }
+ if (isinf(a)) {
+ /*
+ * csqrt(inf + NaN i) = inf + NaN i
+ * csqrt(inf + y i) = inf + 0 i
+ * csqrt(-inf + NaN i) = NaN +- inf i
+ * csqrt(-inf + y i) = 0 + inf i
+ */
+ if (signbit(a))
+ return (cpackl(fabsl(b - b), copysignl(a, b)));
+ else
+ return (cpackl(a, copysignl(b - b, b)));
+ }
+ /*
+ * The remaining special case (b is NaN) is handled just fine by
+ * the normal code path below.
+ */
+
+ /* Scale to avoid overflow. */
+ if (fabsl(a) >= THRESH || fabsl(b) >= THRESH) {
+ a *= 0.25L;
+ b *= 0.25L;
+ scale = true;
+ } else {
+ scale = false;
+ }
+
+ /* Algorithm 312, CACM vol 10, Oct 1967. */
+ if (a >= 0L) {
+ t = sqrtl((a + hypotl(a, b)) * 0.5L);
+ result = cpackl(t, b / (2.0L * t));
+ } else {
+ t = sqrtl((-a + hypotl(a, b)) * 0.5L);
+ result = cpackl(fabsl(b) / (2.0L * t), copysignl(t, b));
+ }
+
+ /* Rescale. */
+ if (scale)
+ return (result * 2.0L);
+ else
+ return (result);
+}
--
2.7.4