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-/*
- * Copyright (c) 1985, 1993
- * The Regents of the University of California. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- * 3. All advertising materials mentioning features or use of this software
- * must display the following acknowledgement:
- * This product includes software developed by the University of
- * California, Berkeley and its contributors.
- * 4. Neither the name of the University nor the names of its contributors
- * may be used to endorse or promote products derived from this software
- * without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
- * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
- * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
- * SUCH DAMAGE.
- */
-
-#ifndef lint
-static char sccsid[] = "@(#)tanh.c 8.1 (Berkeley) 6/4/93";
-#endif /* not lint */
-
-/* TANH(X)
- * RETURN THE HYPERBOLIC TANGENT OF X
- * DOUBLE PRECISION (VAX D FORMAT 56 BITS, IEEE DOUBLE 53 BITS)
- * CODED IN C BY K.C. NG, 1/8/85;
- * REVISED BY K.C. NG on 2/8/85, 2/11/85, 3/7/85, 3/24/85.
- *
- * Required system supported functions :
- * copysign(x,y)
- * finite(x)
- *
- * Required kernel function:
- * expm1(x) ...exp(x)-1
- *
- * Method :
- * 1. reduce x to non-negative by tanh(-x) = - tanh(x).
- * 2.
- * 0 < x <= 1.e-10 : tanh(x) := x
- * -expm1(-2x)
- * 1.e-10 < x <= 1 : tanh(x) := --------------
- * expm1(-2x) + 2
- * 2
- * 1 <= x <= 22.0 : tanh(x) := 1 - ---------------
- * expm1(2x) + 2
- * 22.0 < x <= INF : tanh(x) := 1.
- *
- * Note: 22 was chosen so that fl(1.0+2/(expm1(2*22)+2)) == 1.
- *
- * Special cases:
- * tanh(NaN) is NaN;
- * only tanh(0)=0 is exact for finite argument.
- *
- * Accuracy:
- * tanh(x) returns the exact hyperbolic tangent of x nealy rounded.
- * In a test run with 1,024,000 random arguments on a VAX, the maximum
- * observed error was 2.22 ulps (units in the last place).
- */
-
-double tanh(x)
-double x;
-{
- static double one=1.0, two=2.0, small = 1.0e-10, big = 1.0e10;
- double expm1(), t, copysign(), sign;
- int finite();
-
-#if !defined(vax)&&!defined(tahoe)
- if(x!=x) return(x); /* x is NaN */
-#endif /* !defined(vax)&&!defined(tahoe) */
-
- sign=copysign(one,x);
- x=copysign(x,one);
- if(x < 22.0)
- if( x > one )
- return(copysign(one-two/(expm1(x+x)+two),sign));
- else if ( x > small )
- {t= -expm1(-(x+x)); return(copysign(t/(two-t),sign));}
- else /* raise the INEXACT flag for non-zero x */
- {big+x; return(copysign(x,sign));}
- else if(finite(x))
- return (sign+1.0E-37); /* raise the INEXACT flag */
- else
- return(sign); /* x is +- INF */
-}