genericopenlibs/cstdlib/LMATH/S_TANH.C
changeset 0 e4d67989cc36
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/genericopenlibs/cstdlib/LMATH/S_TANH.C	Tue Feb 02 02:01:42 2010 +0200
@@ -0,0 +1,126 @@
+/* S_TANH.C
+ * 
+ * Portions Copyright (c) 1993-1999 Nokia Corporation and/or its subsidiary(-ies).
+ * All rights reserved.
+ */
+
+
+/* @(#)s_tanh.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
+        <<tanh>>, <<tanhf>>---hyperbolic tangent
+
+INDEX
+tanh
+INDEX
+tanhf
+
+ANSI_SYNOPSIS
+        #include <math.h>
+        double tanh(double <[x]>);
+        float tanhf(float <[x]>);
+
+TRAD_SYNOPSIS
+        #include <math.h>
+        double tanh(<[x]>)
+        double <[x]>;
+
+        float tanhf(<[x]>)
+        float <[x]>;
+
+
+DESCRIPTION
+
+<<tanh>> computes the hyperbolic tangent of
+the argument <[x]>.  Angles are specified in radians.  
+
+<<tanh(<[x]>)>> is defined as 
+. sinh(<[x]>)/cosh(<[x]>)
+	
+<<tanhf>> is identical, save that it takes and returns <<float>> values.
+
+RETURNS
+The hyperbolic tangent of <[x]> is returned.
+
+PORTABILITY
+<<tanh>> is ANSI C.  <<tanhf>> is an extension.
+
+*/
+
+/* Tanh(x)
+ * Return the Hyperbolic Tangent of x
+ *
+ * Method :
+ *				       x    -x
+ *				      e  - e
+ *	0. tanh(x) is defined to be -----------
+ *				       x    -x
+ *				      e  + e
+ *	1. reduce x to non-negative by tanh(-x) = -tanh(x).
+ *	2.  0      <= x <= 2**-55 : tanh(x) := x*(one+x)
+ *					        -t
+ *	    2**-55 <  x <=  1     : tanh(x) := -----; t = expm1(-2x)
+ *					       t + 2
+ *						     2
+ *	    1      <= x <=  22.0  : tanh(x) := 1-  ----- ; t=expm1(2x)
+ *						   t + 2
+ *	    22.0   <  x <= INF    : tanh(x) := 1.
+ *
+ * Special cases:
+ *	tanh(NaN) is NaN;
+ *	only tanh(0)=0 is exact for finite argument.
+ */
+
+#include "FDLIBM.H"
+
+static const double one=1.0, two=2.0, tiny = 1.0e-300;
+
+/**
+Calculate hyperbolic tangent.
+@return hyperbolic tangent of x.
+@param x Angle expressed in radians (180 degrees = PI radians).
+*/	
+EXPORT_C double tanh(double x) __SOFTFP
+{
+	double t,z;
+	__int32_t jx,ix;
+
+    /* High word of |x|. */
+	GET_HIGH_WORD(jx,x);
+	ix = jx&0x7fffffff;
+
+    /* x is INF or NaN */
+	if(ix>=0x7ff00000) { 
+	    if (jx>=0) return one/x+one;    /* tanh(+-inf)=+-1 */
+	    else       return one/x-one;    /* tanh(NaN) = NaN */
+	}
+
+    /* |x| < 22 */
+	if (ix < 0x40360000) {		/* |x|<22 */
+	    if (ix<0x3c800000) 		/* |x|<2**-55 */
+		return x*(one+x);    	/* tanh(small) = small */
+	    if (ix>=0x3ff00000) {	/* |x|>=1  */
+		t = expm1(two*fabs(x));
+		z = one - two/(t+two);
+	    } else {
+	        t = expm1(-two*fabs(x));
+	        z= -t/(t+two);
+	    }
+    /* |x| > 22, return +-1 */
+	} else {
+	    z = one - tiny;		/* raised inexact flag */
+	}
+	return (jx>=0)? z: -z;
+}