Homework 2 Solution

Given the Computational Geometry which consistently appears  in my research,  I have need of a complex  number  class.  I would like you to create  such a class for my use. Below I describe my requirements. Keep in mind that if your interface does not match what I have described,  my program  will not compile.

 

This assignment is worth 10 Points

 

The class should behave  as follows:

 

• constructor 1: The default constructor sets both the real and imaginary  component members to 0.0.

 

• constructor  2:  Accepts a double value which is assigned to the imaginary  component member.  The real component member  is set to 0.0.

 

• constructor 3:  Accepts two double values for the real and imaginary  component members.  The first parameter should be assigned to the real and the second parameter assigned to the imaginary  member.

 

• real:  The  overloaded  method  should  return the real  portion  of the Complex  instance  or set  it  if a double parameter is passed.

 

• imag: The overloaded  method should return the imaginary  portion of the Complex  instance or set it if a double parameter is passed.

 

• Add:   Class  method accepts one  parameter and  should  be  overloaded  to accept a  Complex  class instance, double,  or int. The method should always return a Complex  class instance—the sum of the parameters.

 

• operator+:  Class  method  should  be overloaded  to allow for Complex  class objects  to be added  to each  other  or to ints  or doubles.   Be mindful  that an  int or double  could  appear  as a left-hand  or right-hand side argument to the + operator.  In any case, the return value should be a Complex class instance representing the sum of the two sides.

 

• Mul:  Class  method  accepts  one  parameter  and  should  be  overloaded  to accept  a  Complex  class instance, double,  or int. The method should always return a Complex  class instance—the product of the parameters.

 

• operator*:  Class method  should  be overloaded  to allow for Complex  class objects  to be multiplied by each other or by ints or doubles.  Be mindful  that an int or double could appear  as a left-hand or right-hand side argument to the * operator. In any case, the return value should be a Complex class instance representing the product of the two sides.

 

• ToString:  This class method returns a string of the represented complex number  as follows:

 

–  (2 + 2i) in the base case

–  (1.71 + 3.14159i) in the case of a non-whole floating point

–  (2 + i) in the case the imaginary  portion is 1.0

–  (2 - 2i) in the case that the imaginary  portion is ¡ 0.

–  (2) in the case that the imaginary  portion is 0.

–  (2i) in the case that the real portion is 0.

 

• operator<<:  This  function  (friend  or not) shall accept an ostream object  and  Complex  object  and add the complex number  represented to the ostream object. The function should correctly accept and return the ostream object so that it behaves  as cout.

CSCE  240                                                                Homework 2                                                               Page 2 of 2

 

 

• ToComplex:  This  static class method  shall  accept  a string  of the type  described  in ToString  and return a Complex class instance

 

• operator:  This  function  (friend  or not) shall  accept  an  istream  object  and  Complex  object.   It shall extract a string of the type described in ToString from the stream and return a complex number. The function should correctly accept and return the istream object so that it behaves  as cin.

 

 

To  get  credit,  you must  upload  a zipped  (not tarred, gzipped,  or 7zwhateveritscalled)  archive  containing your submission  files in the the directory tree:

 

• username/hw/02.

 

The archive  file should be named:

 

• username.zip.

 

In both cases, the username  should be your Blackboard login name.  Your two files should be named:

 

• complex.h, and

 

• complex.cc.