Initial revision

From-SVN: r26263

libjava/java/lang/s_sin.c

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+
+/* @(#)s_sin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * 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.
+ * ====================================================
+ */
+
+/*
+FUNCTION
+        <<sin>>, <<sinf>>, <<cos>>, <<cosf>>---sine or cosine
+INDEX
+sin
+INDEX
+sinf
+INDEX
+cos
+INDEX
+cosf
+ANSI_SYNOPSIS
+        #include <math.h>
+        double sin(double <[x]>);
+        float  sinf(float <[x]>);
+        double cos(double <[x]>);
+        float cosf(float <[x]>);
+
+TRAD_SYNOPSIS
+        #include <math.h>
+        double sin(<[x]>)
+        double <[x]>;
+        float  sinf(<[x]>)
+        float <[x]>;
+
+        double cos(<[x]>)
+        double <[x]>;
+        float cosf(<[x]>)
+        float <[x]>;
+
+DESCRIPTION
+	<<sin>> and <<cos>> compute (respectively) the sine and cosine
+	of the argument <[x]>.  Angles are specified in radians. 
+
+	<<sinf>> and <<cosf>> are identical, save that they take and
+	return <<float>> values. 
+
+
+RETURNS
+	The sine or cosine of <[x]> is returned.
+
+PORTABILITY
+	<<sin>> and <<cos>> are ANSI C. 
+	<<sinf>> and <<cosf>> are extensions.
+
+QUICKREF
+	sin ansi pure
+	sinf - pure
+*/
+
+/* sin(x)
+ * Return sine function of x.
+ *
+ * kernel function:
+ *	__kernel_sin		... sine function on [-pi/4,pi/4]
+ *	__kernel_cos		... cose 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        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 "fdlibm.h"
+
+#ifndef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+	double sin(double x)
+#else
+	double sin(x)
+	double x;
+#endif
+{
+	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) return __kernel_sin(x,z,0);
+
+    /* sin(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_sin(y[0],y[1],1);
+		case 1: return  __kernel_cos(y[0],y[1]);
+		case 2: return -__kernel_sin(y[0],y[1],1);
+		default:
+			return -__kernel_cos(y[0],y[1]);
+	    }
+	}
+}
+
+#endif /* _DOUBLE_IS_32BITS */