class Complex

Defined in: C4Complex.h

The Complex class encapsulates a complex number.

Definition

class Complex

Member Functions

Complex::Set Sets both components of a complex number.

Constructor

Complex();

Complex(float r, float s = 0.0F);

Description

The Complex class encapsulates a complex number having the form a + bi.

The default constructor leaves the components of a complex number undefined. If the values r and s are supplied, then they are assigned to the real and imaginary components of the complex number, respectively.

Overloaded Operators

`float& operator [](long k);`	Returns a reference to the `k`-th component of a complex number. The value of `k` must be 0 or 1. Index 0 refers to the real part, and index 1 refers to the imaginary part.
`const float& operator [](long k) const;`	Returns a constant reference to the `k`-th component of a complex number. The value of `k` must be 0 or 1. Index 0 refers to the real part, and index 1 refers to the imaginary part.
`Complex& operator =(float r);`	Assigns the value `r` to the real component and sets the imaginary component to 0.
`Complex& operator +=(const Complex& c);`	Adds the complex number `c`.
`Complex& operator +=(float r);`	Adds the real number `r`.
`Complex& operator -=(const Complex& c);`	Subtracts the complex number `c`.
`Complex& operator -=(float r);`	Subtracts the real number `r`.
`Complex& operator *=(const Complex& c);`	Multiplies by the complex number `c`.
`Complex& operator *=(float r);`	Multiplies by the real number `r`.
`Complex& operator /=(const Complex& c);`	Divides by the complex number `c`.
`Complex& operator /=(float r);`	Divides by the real number `r`.

Nonmember Operations

`Complex operator -(const Complex& c);`	Returns the negation of the complex number `c`.
`Complex operator +(const Complex& c1, const Complex& c2);`	Returns the sum of the complex numbers `c1` and `c2`.
`Complex operator +(const Complex& c, float r);`	Returns the sum of the complex number `c` and the real number `r`.
`Complex operator +(float r, const Complex& c);`	Returns the sum of the real number `r` and the complex number `c`.
`Complex operator -(const Complex& c1, const Complex& c2);`	Returns the difference of the complex numbers `c1` and `c2`.
`Complex operator -(const Complex& c, float r);`	Returns the difference of the complex number `c` and the real number `r`.
`Complex operator -(float r, const Complex& c);`	Returns the difference of the real number `r` and the complex number `c`.
`Complex operator *(const Complex& c1, const Complex& c2);`	Returns the product of the complex numbers `c1` and `c2`.
`Complex operator *(const Complex& c, float r);`	Returns the product of the complex number `c` and the real number `r`.
`Complex operator *(float r, const Complex& c);`	Returns the product of the real number `r` and the complex number `c`.
`Complex operator /(const Complex& c1, const Complex& c2);`	Returns the quotient of the complex numbers `c1` and `c2`.
`Complex operator /(const Complex& c, float r);`	Returns the quotient of the complex number `c` and the real number `r`.
`Complex operator /(float r, const Complex& c);`	Returns the quotient of the real number `r` and the complex number `c`.
`bool operator ==(const Complex& c1, const Complex& c2);`	Returns a boolean value indicating the equality of the two complex numbers `c1` and `c2`.
`bool operator ==(const Complex& c, float r);`	Returns a boolean value indicating the equality of the complex number `c` and the real number `r`.
`bool operator !=(const Complex& c1, const Complex& c2);`	Returns a boolean value indicating the inequality of the two complex numbers `c1` and `c2`.
`bool operator !=(const Complex& c, float r);`	Returns a boolean value indicating the inequality of the complex number `c` and the real number `r`.
`float Modulus(const Complex& c);`	Returns the modulus of the complex number `c`.
`float SquaredMod(const Complex& c);`	Returns the squared modulus of the complex number `c`.
`Complex Conjugate(const Complex& c);`	Returns the conjugate of the complex number `c`.
`Complex Inverse(const Complex& c);`	Returns the inverse of the complex number `c`.