about summary refs log tree commit diff
path: root/src/math/sin.c
diff options
context:
space:
mode:
Diffstat (limited to 'src/math/sin.c')
-rw-r--r--src/math/sin.c77
1 files changed, 77 insertions, 0 deletions
diff --git a/src/math/sin.c b/src/math/sin.c
new file mode 100644
index 00000000..8e430f85
--- /dev/null
+++ b/src/math/sin.c
@@ -0,0 +1,77 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_sin.c */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* sin(x)
+ * Return sine function of x.
+ *
+ * kernel function:
+ *      __sin            ... sine function on [-pi/4,pi/4]
+ *      __cos            ... cose function on [-pi/4,pi/4]
+ *      __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        sin(x)      cos(x)        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 "libm.h"
+
+double sin(double x)
+{
+	double y[2], z=0.0;
+	int32_t n, ix;
+
+	/* High word of x. */
+	GET_HIGH_WORD(ix, x);
+
+	/* |x| ~< pi/4 */
+	ix &= 0x7fffffff;
+	if (ix <= 0x3fe921fb) {
+		if (ix < 0x3e500000) {  /* |x| < 2**-26 */
+			/* raise inexact if x != 0 */
+			if ((int)x == 0)
+				return x;
+		}
+		return __sin(x, z, 0);
+	}
+
+	/* sin(Inf or NaN) is NaN */
+	if (ix >= 0x7ff00000)
+		return x - x;
+
+	/* argument reduction needed */
+	n = __rem_pio2(x, y);
+	switch (n&3) {
+	case 0: return  __sin(y[0], y[1], 1);
+	case 1: return  __cos(y[0], y[1]);
+	case 2: return -__sin(y[0], y[1], 1);
+	default:
+		return -__cos(y[0], y[1]);
+	}
+}