aboutsummaryrefslogtreecommitdiff
path: root/s_cos.c
diff options
context:
space:
mode:
authorThe Android Open Source Project <initial-contribution@android.com>2009-03-03 19:29:30 -0800
committerThe Android Open Source Project <initial-contribution@android.com>2009-03-03 19:29:30 -0800
commitb07e1d9fd8d9e4e03698e0bd9bf77154c5390326 (patch)
tree87dbea36a0e5ed0f2f8e2a499b9c1014af6a38b5 /s_cos.c
parentf177c949113889342d74aee8011a86bd4f589841 (diff)
downloadfdlibm-b07e1d9fd8d9e4e03698e0bd9bf77154c5390326.tar.gz
auto import from //depot/cupcake/@135843
Diffstat (limited to 's_cos.c')
-rw-r--r--s_cos.c78
1 files changed, 78 insertions, 0 deletions
diff --git a/s_cos.c b/s_cos.c
new file mode 100644
index 0000000..548bf8d
--- /dev/null
+++ b/s_cos.c
@@ -0,0 +1,78 @@
+
+/* @(#)s_cos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* ieee_cos(x)
+ * Return cosine function of x.
+ *
+ * kernel function:
+ * __kernel_sin ... sine function on [-pi/4,pi/4]
+ * __kernel_cos ... cosine function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2 ... argument reduction routine
+ *
+ * Method.
+ * Let S,C and T denote the sin, cos and tan respectively on
+ * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
+ * in [-pi/4 , +pi/4], and let n = k mod 4.
+ * We have
+ *
+ * n ieee_sin(x) ieee_cos(x) ieee_tan(x)
+ * ----------------------------------------------------------
+ * 0 S C T
+ * 1 C -S -1/T
+ * 2 -S -C T
+ * 3 -C S -1/T
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_cos(double x)
+#else
+ double ieee_cos(x)
+ double x;
+#endif
+{
+ double y[2],z=0.0;
+ int n, ix;
+
+ /* High word of x. */
+ ix = __HI(x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_cos(x,z);
+
+ /* ieee_cos(Inf or NaN) is NaN */
+ else if (ix>=0x7ff00000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ switch(n&3) {
+ case 0: return __kernel_cos(y[0],y[1]);
+ case 1: return -__kernel_sin(y[0],y[1],1);
+ case 2: return -__kernel_cos(y[0],y[1]);
+ default:
+ return __kernel_sin(y[0],y[1],1);
+ }
+ }
+}