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authorJakub Jelinek <jakub@redhat.com>2007-07-12 18:26:36 +0000
committerJakub Jelinek <jakub@redhat.com>2007-07-12 18:26:36 +0000
commit0ecb606cb6cf65de1d9fc8a919bceb4be476c602 (patch)
tree2ea1f8305970753e4a657acb2ccc15ca3eec8e2c /sysdeps/ieee754/ldbl-128ibm/s_tanl.c
parent7d58530341304d403a6626d7f7a1913165fe2f32 (diff)
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2.5-18.1
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diff --git a/sysdeps/ieee754/ldbl-128ibm/s_tanl.c b/sysdeps/ieee754/ldbl-128ibm/s_tanl.c
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+/* s_tanl.c -- long double version of s_tan.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/* @(#)s_tan.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.
+ * ====================================================
+ */
+
+/* tanl(x)
+ * Return tangent function of x.
+ *
+ * kernel function:
+ *	__kernel_tanl		... tangent function on [-pi/4,pi/4]
+ *	__ieee754_rem_pio2l	... 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 "math.h"
+#include "math_private.h"
+#include <math_ldbl_opt.h>
+
+#ifdef __STDC__
+	long double __tanl(long double x)
+#else
+	long double __tanl(x)
+	long double x;
+#endif
+{
+	long double y[2],z=0.0L;
+	int64_t n, ix;
+
+    /* High word of x. */
+	GET_LDOUBLE_MSW64(ix,x);
+
+    /* |x| ~< pi/4 */
+	ix &= 0x7fffffffffffffffLL;
+	if(ix <= 0x3fe921fb54442d10LL) return __kernel_tanl(x,z,1);
+
+    /* tanl(Inf or NaN) is NaN */
+	else if (ix>=0x7ff0000000000000LL) return x-x;		/* NaN */
+
+    /* argument reduction needed */
+	else {
+	    n = __ieee754_rem_pio2l(x,y);
+	    return __kernel_tanl(y[0],y[1],1-((n&1)<<1)); /*   1 -- n even
+							-1 -- n odd */
+	}
+}
+long_double_symbol (libm, __tanl, tanl);