1 files changed, 124 insertions, 0 deletions
diff --git a/lib/libm/src/s_catanf.c b/lib/libm/src/s_catanf.c
new file mode 100644
index 00000000000..e112e7f090a
--- /dev/null
+++ b/lib/libm/src/s_catanf.c
@@ -0,0 +1,124 @@
+/*	$OpenBSD: s_catanf.c,v 1.1 2008/09/07 20:36:09 martynas Exp $	*/
+/*
+ * 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.
+ */
+
+/*							catanf()
+ *
+ *	Complex circular arc tangent
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * float complex catanf();
+ * float complex z, w;
+ *
+ * w = catanf( z );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * If
+ *     z = x + iy,
+ *
+ * then
+ *          1       (    2x     )
+ * Re w  =  - arctan(-----------)  +  k PI
+ *          2       (     2    2)
+ *                  (1 - x  - y )
+ *
+ *               ( 2         2)
+ *          1    (x  +  (y+1) )
+ * Im w  =  - log(------------)
+ *          4    ( 2         2)
+ *               (x  +  (y-1) )
+ *
+ * Where k is an arbitrary integer.
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    IEEE      -10,+10     30000        2.3e-6      5.2e-8
+ *
+ */
+
+#include <complex.h>
+#include <math.h>
+
+#define MAXNUMF 1.0e38F
+
+static const double DP1 = 3.140625;
+static const double DP2 = 9.67502593994140625E-4;
+static const double DP3 = 1.509957990978376432E-7;
+
+static float
+_redupif(float xx)
+{
+	float x, t;
+	long i;
+
+	x = xx;
+	t = x/(float)M_PI;
+	if(t >= 0.0)
+		t += 0.5;
+	else
+		t -= 0.5;
+
+	i = t;	/* the multiple */
+	t = i;
+	t = ((x - t * DP1) - t * DP2) - t * DP3;
+	return(t);
+}
+
+float complex
+catanf(float complex z)
+{
+	float complex w;
+	float a, t, x, x2, y;
+
+	x = creal (z);
+	y = cimag (z);
+
+	if((x == 0.0f) && (y > 1.0f))
+		goto ovrf;
+
+	x2 = x * x;
+	a = 1.0f - x2 - (y * y);
+	if (a == 0.0f)
+		goto ovrf;
+
+	t = 0.5f * atan2f(2.0f * x, a);
+	w = _redupif(t);
+
+	t = y - 1.0f;
+	a = x2 + (t * t);
+	if(a == 0.0f)
+		goto ovrf;
+
+	t = y + 1.0f;
+	a = (x2 + (t * t))/a;
+	w = w + (0.25f * logf (a)) * I;
+	return (w);
+
+ovrf:
+	/*mtherr( "catanf", OVERFLOW );*/
+	w = MAXNUMF + MAXNUMF * I;
+	return (w);
+}