package com.jcomeau;
import java.math.BigDecimal;
public class Complex {
 public static final int mode = BigDecimal.ROUND_HALF_EVEN;
 double x = 0, y = 0;
 BigDecimal xBig = null, yBig = null;
 public static final BigDecimal two = new BigDecimal(2.0);
 public Complex(double x, double y) {
  this.x = x;
  this.y = y;
 }
 public Complex(BigDecimal x, BigDecimal y) {
  this.xBig = x;
  this.yBig = y;
 }
 public Complex squared() {
  int scale;
  if (xBig == null) {
   return new Complex((x * x) - (y * y), 2 * x * y);
  } else {
   scale = xBig.scale();
   return new Complex(xBig.multiply(xBig).subtract(
    yBig.multiply(yBig)).setScale(scale, mode),
    two.multiply(xBig).multiply(yBig).setScale(scale, mode));
  }
 }
 public Complex add(Complex addend) {
  Complex sum;
  if (xBig == null) {
   return new Complex(x + addend.x, y + addend.y);
  } else {
   sum = new Complex(xBig.add(addend.xBig), yBig.add(addend.yBig));
   //Common.debug("sum=" + sum);
   return sum;
  }
 }
 public double abs() {
  return Math.sqrt((x * x) + (y * y));
 }
 /* when the absolute value is being compared to something, as in the
  * case of the Mandelbrot set, we can avoid the cost of the square root
  * by just returning x squared + y squared and comparing to z squared
  *
  * specify a BigDecimal arg to force use of that method
  */
 public double absSquared() {
  return (x * x) + (y * y);
 }
 public double absSquared(BigDecimal any) {
  if (xBig == null) return 0;
  else return (xBig.multiply(xBig)).add(yBig.multiply(yBig)).doubleValue();
 }
 public String toString() {
  if (xBig == null) return "(" + x + ", " + y + ")";
  else return "(" + xBig + ", " + yBig + ")";
 }
 public static void main(String[] args) {
  if (args.length != 2) {
   System.err.println("must specify x and y");
  } else {
   Complex z = new Complex(Double.parseDouble(args[0]),
    Double.parseDouble(args[1]));
   System.out.println("z = " + z);
   System.out.println("z.squared() = " + z.squared());
   z = new Complex(new BigDecimal(z.x), new BigDecimal(z.y));
   System.out.println("z = " + z);
   System.out.println("z.squared() = " + z.squared());
  }
 }
}