The Complex Class

• How to use complex numbers with the class complex
• Functions in the library:
  • Constructor function
  • Operator functions
  • Complex functions
  • Trigonometric and hyperbolic functions
  • Mathematical functions

This class implements complex numbers. Using overloaded functions and operators, you can treat complex numbers like you treat reals or integers. You can use the following:

• Arithmetic operators (+, -, /, *), relational operators (==, !=), and logical operators (&&, ||)
  
• Stream operators << and >>.
  
• Mathematical functions, such as sqrt() and log10().
  
  

Using the Complex Class

	#include <oldcomplex.h>

	complex z1;		// Uninitialized
	complex z2(1.0,2.0);	// Initialized with two numbers
	complex z3 = z2;	// Initialized with a complex number

	complex z1, z2(5.0,6.0);
	z1.real() = z2.imag(); 
	z1.imag() = z2.real(); 

	#include <complex.h>
	#include <iostream.h>

	main()
	{   
	   complex z1(1.1, 2.0), z2; 
	   cout << "Enter z2: "; 
	   cin >> z2; 
	   cout << "z1 = " << z1 << '\n'; 
	   cout << "z2 = " << z2 << '\n'; 
	   return 0; 
	} 

	Enter z2: 10 9.8 
	z1 = (1.1, 2) 
	z2 = (10,9.8) 

	cout << sin(complex(1,1) );

Member Functions

• Constructors
• Operators
• Complex
• Trigonometric and hyperbolic
• Mathematical

	#include <oldcomplex.h>

	complex complexFunc() 
	{ 
	// Invokes complex(double, double)
	   complex z1(2.0,4.0); 

	// Invokes complex(const complex&) 
	   complex z2 = z1; 

	// Invokes complex(const complex&) to 
	// create a temporary variable and adds 
	// it to z1. 
	   return complex(1.1, 2.2) + z1; 
	} 

 
	atan2( imag( x), real( x)) 

For complex::imag 		For complex::real 

#include <oldcomplex.h> 	#include <oldcomplex.h> 

complex z1(1.0,2.0), z2; 	complex z1(1.0,2.0), z2;
z1.imag() = z2.imag(); 		z1.real() = z2.real(); 

	complex(range * cos(theta), range * sin(theta));