Package org.djutils.complex

Class ComplexMath

java.lang.Object

org.djutils.complex.ComplexMath

public final class ComplexMath
extends Object

ComplexMath.java. Math with complex operands and results.
Copyright (c) 2021-2021 Delft University of Technology, Jaffalaan 5, 2628 BX Delft, the Netherlands. All rights reserved. See for project information https://djutils.org. The DJUTILS project is distributed under a three-clause BSD-style license, which can be found at https://djutils.org/docs/license.html.

Author:

Alexander Verbraeck, Peter Knoppers

Method Summary

Modifier and Type	Method	Description
static Complex	acos(Complex z)	Inverse cosine function of a Complex operand.
static Complex	acosh(Complex z)	Inverse hyperbolic cosine of a Complex operand.
static Complex	asin(Complex z)	Inverse sine function of a Complex operand.
static Complex	asinh(Complex z)	Inverse hyperbolic sine of a Complex operand.
static Complex	atan(Complex z)	Inverse tangent function of a Complex operand.
static Complex	atanh(Complex z)	Inverse hyperbolic tangent of a Complex operand.
static Complex	cbrt(Complex z)	Principal cube root of a Complex operand.
static Complex	cos(Complex z)	Cosine function of Complex operand.
static Complex	cosh(Complex z)	Hyperbolic cosine function of Complex operand.
static Complex	exp(Complex z)	Exponential function of a Complex operand.
static Complex	ln(Complex z)	Principal value of the natural logarithm of a Complex operand.
static Complex	sin(Complex z)	Sine function of a Complex operand.
static Complex	sinh(Complex z)	Hyperbolic sine function of a Complex operand.
static Complex	sqrt(Complex z)	Principal square root of a Complex operand.
static Complex	tan(Complex z)	Tangent function of a Complex operand.
static Complex	tanh(Complex z)	Hyperbolic tangent function of a Complex operand.

Methods inherited from class java.lang.Object

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

Method Detail

sqrt

public static Complex sqrt(Complex z)

Principal square root of a Complex operand. The principal square root of a complex number has a non-negative real component.

Parameters:

z - Complex; the operand

Returns:

Complex; the principal square root of the operand

cbrt

public static Complex cbrt(Complex z)

Principal cube root of a Complex operand. The principal cube root of a complex number has the most positive. real component.

Parameters:

z - Complex; the operand

Returns:

Complex; the principal cube root of the operand

exp

public static Complex exp(Complex z)

Exponential function of a Complex operand.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the exponential function applied to the operand

ln

public static Complex ln(Complex z)

Principal value of the natural logarithm of a Complex operand. See Wikipedia Complex logarithm.

Parameters:

z - Complex; the operand

Returns:

Complex; the principal value of the natural logarithm of the Complex operand

sin

public static Complex sin(Complex z)

Sine function of a Complex operand. See ProofWiki Sine of Complex Number.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the sine function applied to the operand

cos

public static Complex cos(Complex z)

Cosine function of Complex operand. See ProofWiki Cosine of Complex Number.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the cosine function applied to the operand

tan

public static Complex tan(Complex z)

Tangent function of a Complex operand. See ProofWiki Tangent of Complex Number.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the tangent function applied to the operand

sinh

public static Complex sinh(Complex z)

Hyperbolic sine function of a Complex operand.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the sinh function applied to the operand

cosh

public static Complex cosh(Complex z)

Hyperbolic cosine function of Complex operand.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the cosh function applied to the operand

tanh

public static Complex tanh(Complex z)

Hyperbolic tangent function of a Complex operand. Based on ProofWiki: Hyperbolic Tangent of Complex Number, Formulation 4.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the tanh function applied to the operand

asin

public static Complex asin(Complex z)

Inverse sine function of a Complex operand. Derived from NetBSD Complex casin.c.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the asin function applied to the operand

acos

public static Complex acos(Complex z)

Inverse cosine function of a Complex operand. Derived from NetBSD Complex cacos.c.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the acos function applied to the operand

atan

public static Complex atan(Complex z)

Inverse tangent function of a Complex operand. Derived from NetBSD Complex catan.c.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the atan function applied to the operand

asinh

public static Complex asinh(Complex z)

Inverse hyperbolic sine of a Complex operand.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the asinh function applied to the operand

acosh

public static Complex acosh(Complex z)

Inverse hyperbolic cosine of a Complex operand.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the acosh function applied to the operand

atanh

public static Complex atanh(Complex z)

Inverse hyperbolic tangent of a Complex operand. Derived from NetBSD Complex catanh.c.

Parameters:

z - Complex; the operand

Returns:

Complex; the result of the atanh function applied to the operand