// ---------
// proj2.cpp
// ---------

// Project 2 of Com S 229
// Due at 11:59pm on Tuesday, Feb 17, 2009
// 
// Test file

#include <iostream>
#include "complexx_soln.h"

int main()
{
  // complex number i = 0 + 1i
  complex i(0, 1), z1, z2; 

  // input values 
  cout << "Enter two complex numbers: "; 
  cin >> z1 >> z2; 

  cout << "Test the binary arithmetic operators:" << endl; 
  cout << " z1 + z2 = " << z1 + z2 << endl; 
  cout << " z1 - z2 = " << z1 - z2 << endl; 
  cout << " z1 * z2 = " << z1 * z2 << endl; 
  cout << " z1 / z2 = " << z1 / z2 << endl << endl; 

  // test relational equality
  if (z1 == z2) 
    cout << z1 << " = " << z2 << endl; 
  else 
    cout << z1 << " != " << z2 << endl << endl; 

  // evaluate phase and magnitude 
  cout << z1 << "=" << z1.magnitude() << "* (cos (" << z1.phase() << ") + i * sin("
       << z1.phase() << "))" << endl; 
  cout << z2 << "=" << z2.magnitude() << "* (cos (" << z2.phase() << ") + i * sin("
       << z2.phase() << "))" << endl << endl; 

  // verify that i*i = -1 and that -i * i = 1 
  cout << "i*i = " << i * i << endl; 
  cout << "-i*i = " << -i * i << endl << endl; 
 
  // verify powers 
  cout << "10th power of z1 = " << z1.power(10) << endl; 
  cout << "7th power of z2 = "  << z2.power(7) << endl << endl; 

  // verify square roots 
  cout << "sqrt(i) = " << i.sqrt() << endl; 
  cout << "sqrt(z1) = " << z1.sqrt() << endl; 
  cout << "sqrt(z2) = " << z2.sqrt() << endl << endl; 

  // test the evaluation function 
  complex z3(2, 3), z4(-1, 1), z5(1, 1), z6(1, -1), z7(1, 0); 
  cout << "f(" << z3 << ") = " << f(z3) << endl; 
  cout << "f(" << z4 << ") = " << f(z4) << endl; 
  cout << "f(" << z5 << ") = " << f(z5) << endl; 
  cout << "f(" << z6 << ") = " << f(z6) << endl; 
  cout << "f(" << z7 << ") = " << f(z7) << endl; 
  return 0;
}