NMath User's Guide

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3.4 Arithmetic Operations on Complex Numbers (.NET, C#, CSharp, VB, Visual Basic, F#)

NMath provides overloaded arithmetic operators for complex numbers with their conventional meanings for those .NET languages that support them, and equivalent named methods for those that do not. Table 4 lists the equivalent operators and methods.

Table 4 – Arithmetic operators

Operator

Equivalent Named Method

+

Add()

-

Subtract()

*

Multiply()

/

Divide()

Unary -

Negate()

All binary operators and equivalent named methods work either with two complex numbers, or with a complex number and a real value. For example, this C# code uses the overloaded operators:

Code Example – C# complex numbers

var c1 = new DoubleComplex( 3.2, 1.0 );

var c2 = new DoubleComplex( -11.002, -6.57 );

DoubleComplex c3 = c1 * c2;

c3 = (c1 / 3.5) - c2;

This Visual Basic code uses the equivalent named methods:

Code Example – VB complex numbers

Dim C1 As New DoubleComplex(3.2, 1.0)

Dim C2 As New DoubleComplex(-11.002, -6.57)

Dim C3 = DoubleComplex.Multiply(C1, C2)

C3 = DoubleComplex.Subtract(DoubleComplex.Divide(C1, 3.5), C2)

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