org.apache.commons.math.complex
Class ComplexUtils

java.lang.Object
  org.apache.commons.math.complex.ComplexUtils

public class ComplexUtils

extends Object

Implementations of various transcendental functions for Complex arguments. Reference:

• Multiple Precision Complex Arithmetic and Functions

Version:

$Revision: 1.1 $ $Date: 2004/07/12 00:27:09 $

Method Summary

static Complex	acos(Complex z) Compute the inverse cosine for the given complex argument.
static Complex	asin(Complex z) Compute the inverse sine for the given complex argument.
static Complex	atan(Complex z) Compute the inverse tangent for the given complex argument.
static Complex	cos(Complex z) Compute the cosine for the given complex argument.
static Complex	cosh(Complex z) Compute the hyperbolic cosine for the given complex argument.
static Complex	exp(Complex z) Compute the exponential function for the given complex argument.
static Complex	log(Complex z) Compute the natural logarithm for the given complex argument.
static Complex	pow(Complex y, Complex x) Returns of value of y raised to the power of x.
static Complex	sin(Complex z) Compute the sine for the given complex argument.
static Complex	sinh(Complex z) Compute the hyperbolic sine for the given complex argument.
static Complex	sqrt(Complex z) Compute the squre root for the given complex argument.
static Complex	sqrt1z(Complex z) Compute the squre root of 1 - z2 for the given complex argument.
static Complex	tan(Complex z) Compute the tangent for the given complex argument.
static Complex	tanh(Complex z) Compute the hyperbolic tangent for the given complex argument.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

acos

public static Complex acos(Complex z)

Compute the inverse cosine for the given complex argument.

Parameters:

z - the value whose inverse cosine is to be returned.

Returns:

the inverse cosine of z.

asin

public static Complex asin(Complex z)

Compute the inverse sine for the given complex argument.

Parameters:

z - the value whose inverse sine is to be returned.

Returns:

the inverse sine of z.

atan

public static Complex atan(Complex z)

Compute the inverse tangent for the given complex argument.

Parameters:

z - the value whose inverse tangent is to be returned.

Returns:

the inverse tangent of z.

cos

public static Complex cos(Complex z)

Compute the cosine for the given complex argument.

Parameters:

z - the value whose cosine is to be returned.

Returns:

the cosine of z.

cosh

public static Complex cosh(Complex z)

Compute the hyperbolic cosine for the given complex argument.

Parameters:

z - the value whose hyperbolic cosine is to be returned.

Returns:

the hyperbolic cosine of z.

exp

public static Complex exp(Complex z)

Compute the exponential function for the given complex argument.

Parameters:

z - the value.

Returns:

e^z.

log

public static Complex log(Complex z)

Compute the natural logarithm for the given complex argument.

Parameters:

z - the value.

Returns:

ln z.

pow

public static Complex pow(Complex y,
                          Complex x)

Returns of value of y raised to the power of x.

Parameters:

y - the base.

x - the exponent.

Returns:

yz.

sin

public static Complex sin(Complex z)

Compute the sine for the given complex argument.

Parameters:

z - the value whose sine is to be returned.

Returns:

the sine of z.

sinh

public static Complex sinh(Complex z)

Compute the hyperbolic sine for the given complex argument.

Parameters:

z - the value whose hyperbolic sine is to be returned.

Returns:

the hyperbolic sine of z.

sqrt

public static Complex sqrt(Complex z)

Compute the squre root for the given complex argument.

Parameters:

z - the value whose square root is to be returned.

Returns:

the square root of z.

sqrt1z

public static Complex sqrt1z(Complex z)

Compute the squre root of 1 - z² for the given complex argument.

Parameters:

z - the value.

Returns:

the square root of 1 - z².

tan

public static Complex tan(Complex z)

Compute the tangent for the given complex argument.

Parameters:

z - the value whose tangent is to be returned.

Returns:

the tangent of z.

tanh

public static Complex tanh(Complex z)

Compute the hyperbolic tangent for the given complex argument.

Parameters:

z - the value whose hyperbolic tangent is to be returned.

Returns:

the hyperbolic tangent of z.