JMSLTM Numerical Library 6.1

com.imsl.math
Class Hyperbolic

java.lang.Object
  extended by com.imsl.math.Hyperbolic

public class Hyperbolic
extends Object

Pure Java implementation of the hyperbolic functions and their inverses.

This Java code is based on C code in the package fdlibm, which can be obtained from www.netlib.org. The original fdlibm C code contains the following notice.

Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.

Developed at SunSoft, a Sun Microsystems, Inc. business. Permission to use, copy, modify, and distribute this software is freely granted, provided that this notice is preserved.

See Also:
Example

Method Summary
static double acosh(double x)
          Returns the inverse hyperbolic cosine of its argument.
static double asinh(double x)
          Returns the inverse hyperbolic sine of its argument.
static double atanh(double x)
          Returns the inverse hyperbolic tangent of its argument.
static double cosh(double x)
          Returns the hyperbolic cosine of its argument.
static double expm1(double x)
          Returns exp(x)-1, the exponential of x minus 1.
static double log1p(double x)
          Returns log(1+x), the logarithm of (x plus 1).
static double sinh(double x)
          Returns the hyperbolic sine of its argument.
static double tanh(double x)
          Returns the hyperbolic tangent of its argument.
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Method Detail

acosh

public static double acosh(double x)
Returns the inverse hyperbolic cosine of its argument. Specifically,
acosh(1) returns +0
{rm acosh}(pm infty) returns +infty
{rm acosh}(x) returns NaN, if |x| lt 1.

Parameters:
x - a double value representing the argument.
Returns:
a double value representing the number whose hyperbolic cosine is x.

asinh

public static double asinh(double x)
Returns the inverse hyperbolic sine of its argument. Specifically,
{rm asinh}(pm 0) returns pm infty
{rm asinh}(pm infty) returns pm infty

Parameters:
x - a double value representing the argument.
Returns:
a double value representing the number whose hyperbolic sine is x.

atanh

public static double atanh(double x)
Returns the inverse hyperbolic tangent of its argument. Specifically,
{rm atanh}(pm 0) returns pm 0
{rm atanh}(pm 1) returns +infty
atanh(x) returns NaN, if |x| gt 1.

Parameters:
x - a double value representing the argument.
Returns:
a double value representing the number whose hyperbolic tangent is x.

cosh

public static double cosh(double x)
Returns the hyperbolic cosine of its argument. Specifically,
{rm cosh}(pm 0) returns 1.
{rm cosh}(pm infty) returns +infty

Parameters:
x - a double value representing the argument.
Returns:
a double value representing the hyperbolic cosine of x.

expm1

public static double expm1(double x)
Returns exp(x)-1, the exponential of x minus 1. Specifically,
{rm expm1}(pm 0) returns pm 0
{rm expm1}(+infty) returns pm infty
{rm expm1}(-infty) returns -1.

Parameters:
x - a double specifying the argument.
Returns:
a double value representing exp(x)-1.

log1p

public static double log1p(double x)
Returns log(1+x), the logarithm of (x plus 1). Specifically,
{rm log1p}(pm 0) returns pm 0
{rm log1p}(-1) returns -infty
{rm log1p}(x) returns NaN, if x lt -1.
{rm log1p}(pm infty) returns pm infty

Parameters:
x - a double value representing the argument.
Returns:
a double value representing log(1+x).

sinh

public static double sinh(double x)
Returns the hyperbolic sine of its argument. Specifically,
{rm sinh}(pm 0) returns pm 0
{rm sinh}(pm infty) returns pm infty

Parameters:
x - a double value representing the argument.
Returns:
a double value representing the hyperbolic sine of x.

tanh

public static double tanh(double x)
Returns the hyperbolic tangent of its argument. Specifically,
{rm tanh}(pm 0) returns pm 0
{rm tanh}(pm infty) returns pm 1.

Parameters:
x - a double value representing the argument.
Returns:
a double value representing the hyperbolic tangent of x.

JMSLTM Numerical Library 6.1

Copyright © 1970-2010 Visual Numerics, Inc.
Built July 30 2010.