summaryrefslogtreecommitdiff
path: root/lib/mlibc/options/ansi/generic/complex/catan.c
diff options
context:
space:
mode:
authorIan Moffett <ian@osmora.org>2024-03-07 17:28:00 -0500
committerIan Moffett <ian@osmora.org>2024-03-07 17:28:32 -0500
commitbd5969fc876a10b18613302db7087ef3c40f18e1 (patch)
tree7c2b8619afe902abf99570df2873fbdf40a4d1a1 /lib/mlibc/options/ansi/generic/complex/catan.c
parenta95b38b1b92b172e6cc4e8e56a88a30cc65907b0 (diff)
lib: Add mlibc
Signed-off-by: Ian Moffett <ian@osmora.org>
Diffstat (limited to 'lib/mlibc/options/ansi/generic/complex/catan.c')
-rw-r--r--lib/mlibc/options/ansi/generic/complex/catan.c130
1 files changed, 130 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/generic/complex/catan.c b/lib/mlibc/options/ansi/generic/complex/catan.c
new file mode 100644
index 0000000..0cf4739
--- /dev/null
+++ b/lib/mlibc/options/ansi/generic/complex/catan.c
@@ -0,0 +1,130 @@
+/* $NetBSD: catan.c,v 1.1 2007/08/20 16:01:32 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
+ <<catan>>, <<catanf>>---complex arc tangent
+
+INDEX
+ catan
+INDEX
+ catanf
+
+ANSI_SYNOPSIS
+ #include <complex.h>
+ double complex catan(double complex <[z]>);
+ float complex catanf(float complex <[z]>);
+
+
+DESCRIPTION
+ @ifnottex
+ These functions compute the complex arc tangent of <[z]>,
+ with branch cuts outside the interval [-i, +i] along the
+ imaginary axis.
+ @end ifnottex
+ @tex
+ These functions compute the complex arc tangent of <[z]>,
+ with branch cuts outside the interval [$-i$, $+i$] along the
+ imaginary axis.
+ @end tex
+
+ <<catanf>> is identical to <<catan>>, except that it performs
+ its calculations on <<floats complex>>.
+
+RETURNS
+ @ifnottex
+ These functions return the complex arc tangent value, in the range
+ of a strip mathematically unbounded along the imaginary axis
+ and in the interval [-pi/2, +pi/2] along the real axis.
+ @end ifnottex
+ @tex
+ These functions return the complex arc tangent, in the range
+ of a strip mathematically unbounded along the imaginary axis
+ and in the interval [$-\pi/2$, $+\pi/2$] along the real axis.
+ @end tex
+
+PORTABILITY
+ <<catan>> and <<catanf>> are ISO C99
+
+QUICKREF
+ <<catan>> and <<catanf>> are ISO C99
+
+*/
+
+
+#include <complex.h>
+#include <math.h>
+#include "cephes_subr.h"
+
+#ifdef __weak_alias
+__weak_alias(catan, _catan)
+#endif
+
+double complex
+catan(double complex z)
+{
+ double complex w;
+ double a, t, x, x2, y;
+
+ x = creal(z);
+ y = cimag(z);
+
+ if ((x == 0.0) && (y > 1.0))
+ goto ovrf;
+
+ x2 = x * x;
+ a = 1.0 - x2 - (y * y);
+ if (a == 0.0)
+ goto ovrf;
+
+ t = 0.5 * atan2(2.0 * x, a);
+ w = __mlibc_redupi(t);
+
+ t = y - 1.0;
+ a = x2 + (t * t);
+ if (a == 0.0)
+ goto ovrf;
+
+ t = y + 1.0;
+ a = (x2 + (t * t))/a;
+ w = w + (0.25 * log(a)) * I;
+ return w;
+
+ovrf:
+#if 0
+ mtherr ("catan", OVERFLOW);
+#endif
+ w = HUGE_VAL + HUGE_VAL * I;
+ return w;
+}