Define Complex Data Using Operators

Why Use Operators for Complex Numbers?

Use operators to handle complex numbers because a C chart does not support complex number notation (a + bi), where a and b are real numbers.

Define a Complex Number

To define a complex number based on two real values, use the complex operator described below.

complex Operator

Syntax.  

complex(realExp, imagExp)

where realExp and imagExp are arguments that define the real and imaginary parts of a complex number, respectively. The two arguments must be real values or expressions that evaluate to real values, where the numeric types of both arguments are identical.

Description.  The complex operator returns a complex number based on the input arguments.

Example.  

complex(3.24*pi, -9.99)

This expression returns the complex number 10.1788 – 9.9900i.

Access Real and Imaginary Parts of a Complex Number

To access the real and imaginary parts of a complex number, use the operators real and imag described below.

real Operator

Syntax.  

real(compExp)

where compExp is an expression that evaluates to a complex number.

Description.  The real operator returns the value of the real part of a complex number.

    Note:   If the input argument is a purely imaginary number, the real operator returns a value of 0.

Example.  

real(frame(200))

If the expression frame(200) evaluates to the complex number 8.23 + 4.56i, the real operator returns a value of 8.2300.

imag Operator

Syntax.  

imag(compExp)

where compExp is an expression that evaluates to a complex number.

Description.  The imag operator returns the value of the imaginary part of a complex number.

    Note:   If the input argument is a real number, the imag operator returns a value of 0.

Example.  

imag(frame(200))

If the expression frame(200) evaluates to the complex number 8.23 + 4.56i, the imag operator returns a value of 4.5600.

Work with Vector Arguments

The operators complex, real, and imag also work with vector arguments.

ExampleIf the input x is...Then the output y is...
y = real(x)An n-dimensional vector of complex valuesAn n-dimensional vector of real values
y = imag(x)An n-dimensional vector of real valuesAn n-dimensional vector of zeros
y = complex(real(x), imag(x))An n-dimensional vector of complex or real valuesAn n-dimensional vector identical to the input argument

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