package shtick.math;

//////////////////////////////////////////////////////
//**************************************************//
//*                    Complex                     *//
//*                                                *//
//* Version 1.2.1                                  *//
//* Author: Sean M. Cox                            *//
//* Organization: The Shtick                       *//
//* http://www.smcox.com/                          *//
//*                                                *//
//* Represents a complex number. (A number with    *//
//* both real and imaginary components.) Also      *//
//* internally manages basic mathematical          *//
//* operations.                                    *//
//*                                                *//
//**************************************************//
//////////////////////////////////////////////////////

public class Complex extends Object{
  private double x;
  private double iy;

  public Complex(double real, double imaginary){
    x=real;
    iy=imaginary;
  }

  public double doubleValueImaginary(){
    return iy;
  }

  public double doubleValueReal(){
    return x;
  }

  public void add(Complex toAdd){
    x+=toAdd.doubleValueReal();
    iy+=toAdd.doubleValueImaginary();
  }

  public void mult(Complex toMult){
    double ox=x;
    x=x*toMult.doubleValueReal()-iy*toMult.doubleValueImaginary();
    iy=ox*toMult.doubleValueImaginary()+iy*toMult.doubleValueReal();
  }

  public void pow(int exponent){
    if(exponent==0){
      x=1;
      iy=1;
    }
    else if(exponent>0){
      Complex base=new Complex(x,iy);
      for(int i=1;i<exponent;i++){
        mult(base);
      }
    }
  }

  public String toString(){
    return "("+String.valueOf(x)+","+String.valueOf(iy)+")";
  }
}