From 07e77936d535e58b0aeb4f2a11400c1050556739 Mon Sep 17 00:00:00 2001
From: Nicholas Noll <nbnoll@eml.cc>
Date: Sun, 5 Dec 2021 16:16:21 -0800
Subject: Feat: added math library

Used Plan9's libc as starting point. This cleans up dangling references
due to loss of libc.
---
 src/base/math/atan.c | 76 ++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 76 insertions(+)
 create mode 100644 src/base/math/atan.c

(limited to 'src/base/math/atan.c')

diff --git a/src/base/math/atan.c b/src/base/math/atan.c
new file mode 100644
index 0000000..3108724
--- /dev/null
+++ b/src/base/math/atan.c
@@ -0,0 +1,76 @@
+/*
+	floating-point arctangent
+
+	atan returns the value of the arctangent of its
+	argument in the range [-pi/2,pi/2].
+
+	atan2 returns the arctangent of arg1/arg2
+	in the range [-pi,pi].
+
+	there are no error returns.
+
+	coefficients are #5077 from Hart & Cheney. (19.56D)
+*/
+
+#include <u.h>
+#include <base.h>
+
+#define sq2p1 2.414213562373095048802e0
+#define sq2m1  .414213562373095048802e0
+#define p4  .161536412982230228262e2
+#define p3  .26842548195503973794141e3
+#define p2  .11530293515404850115428136e4
+#define p1  .178040631643319697105464587e4
+#define p0  .89678597403663861959987488e3
+#define q4  .5895697050844462222791e2
+#define q3  .536265374031215315104235e3
+#define q2  .16667838148816337184521798e4
+#define q1  .207933497444540981287275926e4
+#define q0  .89678597403663861962481162e3
+
+
+/*
+	xatan evaluates a series valid in the
+	range [-0.414...,+0.414...]. (tan(pi/8))
+ */
+
+static double
+xatan(double arg)
+{
+	double argsq, value;
+
+	argsq = arg*arg;
+	value = ((((p4*argsq + p3)*argsq + p2)*argsq + p1)*argsq + p0);
+	value = value/(((((argsq + q4)*argsq + q3)*argsq + q2)*argsq + q1)*argsq + q0);
+	return value*arg;
+}
+
+/*
+	satan reduces its argument (known to be positive)
+	to the range [0,0.414...] and calls xatan.
+ */
+
+static double
+satan(double arg)
+{
+
+	if(arg < sq2m1)
+		return xatan(arg);
+	if(arg > sq2p1)
+		return math·PIO2 - xatan(1/arg);
+	return math·PIO2/2 + xatan((arg-1)/(arg+1));
+}
+
+/*
+	atan makes its argument positive and
+	calls the inner routine satan.
+ */
+
+double
+math·atan(double arg)
+{
+
+	if(arg > 0)
+		return satan(arg);
+	return -satan(-arg);
+}
-- 
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