Complex

Complex number with overloaded operators

Information

Complex number defined as a record containing real and imaginary part, utilizing operator overloading.

Licensed by the Modelica Association under the 3-Clause BSD License
Copyright © 2010-2020, Modelica Association and contributors

This Modelica package is free software and the use is completely at your own risk; it can be redistributed and/or modified under the terms of the 3-Clause BSD license. For license conditions (including the disclaimer of warranty) visit https://modelica.org/licenses/modelica-3-clause-bsd.

Parameters

Package Content

Name	Description
'constructor'	Constructor
'0'	Zero-element of addition (= Complex(0))
'-'	Unary and binary minus
'*'	Multiplication
'+'	Add two complex numbers
'/'	Divide two complex numbers
'^'	Complex power of complex number
'=='	Test whether two complex numbers are identical
'<>'	Test whether two complex numbers are not identical
'String'	Transform Complex number into a String representation

Complex.'constructor'

Constructor

Information

Here the constructor operator(s) is/are defined.

Package Content

Name	Description
fromReal	Construct Complex from Real

Complex.'constructor'.fromReal

Construct Complex from Real

Information

This function returns a Complex number defined by real part re and optional imaginary part im (default=0).

Inputs

Outputs

Complex.'0'

Zero-element of addition (= Complex(0))

Information

This function returns the zero-element of Complex, that is, Complex(0) = 0 + j*0.

Outputs

Complex.'-'

Unary and binary minus

Information

Here the unary and binary minus operator(s) is/are defined.

Package Content

Name	Description
negate	Unary minus (multiply complex number by -1)
subtract	Subtract two complex numbers

Complex.'-'.negate

Unary minus (multiply complex number by -1)

Information

This function returns the binary minus of the given Complex number.

Inputs

Outputs

Complex.'-'.subtract

Subtract two complex numbers

Information

This function returns the difference of two given Complex numbers.

Inputs

Outputs

Complex.'*'

Multiplication

Information

Here the multiplication operator(s) is/are defined.

Package Content

Name	Description
multiply	Multiply two complex numbers
scalarProduct	Scalar product c1*c2 of two complex vectors

Complex.'*'.multiply

Multiply two complex numbers

Information

This function returns the product of two given Complex numbers.

Inputs

Outputs

Complex.'*'.scalarProduct

Scalar product c1*c2 of two complex vectors

Information

This function returns the scalar product of two given arrays of Complex numbers.

Inputs

Outputs

Complex.'+'

Add two complex numbers

Information

This function returns the sum of two given Complex numbers.

Inputs

Outputs

Complex.'/'

Divide two complex numbers

Information

This function returns the quotient of two given Complex numbers.

Inputs

Outputs

Complex.'^'

Complex power of complex number

Information

This function returns the given Complex numbers c1 to the power of the Complex number c2.

Inputs

Outputs

Complex.'=='

Test whether two complex numbers are identical

Information

This function tests whether two given Complex numbers are equal.

Inputs

Outputs

Complex.'<>'

Test whether two complex numbers are not identical

Information

This function tests whether two given Complex numbers are not equal.

Inputs

Outputs

Complex.'String'

Transform Complex number into a String representation

Information

This function converts a given Complex number to String representation.

Inputs

Outputs