Package org.hipparchus.complex

Class ComplexUtils

java.lang.Object

org.hipparchus.complex.ComplexUtils

public class ComplexUtils
extends Object

Static implementations of common Complex utilities functions.

Method Summary

Modifier and Type	Method	Description
static Complex[]	convertToComplex(double[] real)	Convert an array of primitive doubles to an array of Complex objects.
static Complex	polar2Complex(double r, double theta)	Creates a complex number from the given polar representation.
static <T extends CalculusFieldElement<T>> FieldComplex<T>	polar2Complex(T r, T theta)	Creates a complex number from the given polar representation.

Methods inherited from class java.lang.Object

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

Method Detail

polar2Complex

public static Complex polar2Complex(double r,
                                    double theta)
                             throws MathIllegalArgumentException

Creates a complex number from the given polar representation.

The value returned is r·ei·theta, computed as r·cos(theta) + r·sin(theta)i

If either r or theta is NaN, or theta is infinite, Complex.NaN is returned.

If r is infinite and theta is finite, infinite or NaN values may be returned in parts of the result, following the rules for double arithmetic.

 Examples:
 
 polar2Complex(INFINITY, π/4) = INFINITY + INFINITY i
 polar2Complex(INFINITY, 0) = INFINITY + NaN i
 polar2Complex(INFINITY, -π/4) = INFINITY - INFINITY i
 polar2Complex(INFINITY, 5π/4) = -INFINITY - INFINITY i 
 

Parameters:

r - the modulus of the complex number to create

theta - the argument of the complex number to create

Returns:

r·ei·theta

Throws:

MathIllegalArgumentException - if r is negative.

polar2Complex

public static <T extends CalculusFieldElement<T>> FieldComplex<T> polar2Complex(T r,
                                                                                T theta)
                                                                         throws MathIllegalArgumentException

Creates a complex number from the given polar representation.

The value returned is r·ei·theta, computed as r·cos(theta) + r·sin(theta)i

If either r or theta is NaN, or theta is infinite, Complex.NaN is returned.

If r is infinite and theta is finite, infinite or NaN values may be returned in parts of the result, following the rules for double arithmetic.

 Examples:
 
 polar2Complex(INFINITY, π/4) = INFINITY + INFINITY i
 polar2Complex(INFINITY, 0) = INFINITY + NaN i
 polar2Complex(INFINITY, -π/4) = INFINITY - INFINITY i
 polar2Complex(INFINITY, 5π/4) = -INFINITY - INFINITY i 
 

Type Parameters:

T - type of the field elements

Parameters:

r - the modulus of the complex number to create

theta - the argument of the complex number to create

Returns:

r·ei·theta

Throws:

MathIllegalArgumentException - if r is negative.

Since:

2.0

convertToComplex

public static Complex[] convertToComplex(double[] real)

Convert an array of primitive doubles to an array of Complex objects.

Parameters:

real - Array of numbers to be converted to their Complex equivalent.

Returns:

an array of Complex objects.