export class ComplexNumber {
r : number;
i : number;
constructor(real: number, imaginary: number) {
this.r = real;
this.i = imaginary;
}
public get real(): number {
return this.r;
}
public get imag(): number {
return this.i;
}
public add(other: ComplexNumber): ComplexNumber {
return new ComplexNumber((this.r+other.r),(this.i+other.i));
}
public sub(other: ComplexNumber): ComplexNumber {
return new ComplexNumber((this.r-other.r),(this.i-other.i));
}
public mul(other: ComplexNumber): ComplexNumber {
return new ComplexNumber((this.r\*other.r-this.i\*other.i),(this.i\*other.r+this.r\*other.i));
}
public div(other: ComplexNumber): ComplexNumber {
return new ComplexNumber((this.r\*other.r+this.i\*other.i)/(other.r\*other.r+other.i\*other.i),(this.i\*other.r-this.r\*other.i)/(other.r\*other.r+other.i\*other.i));
}
public get abs(): number {
return Math.sqrt(this.i\*this.i+this.r\*this.r);
}
public get conj(): ComplexNumber {
return new ComplexNumber(this.real, this.imag ? this.imag \* (-1) : 0);
}
public get exp(): ComplexNumber {
return new ComplexNumber(Math.exp(this.r)\*Math.cos(this.i), Math.exp(this.r)\*Math.sin(this.i));
}
}