MATLAB Object-Oriented Programming

obj1 = DocPolynom(obj1);

obj2 = DocPolynom(obj2);

k = length(obj2.coef) - length(obj1.coef);

zp = zeros(1,k);

zm = zeros(1,-k);

r = DocPolynom([zp,obj1.coef] + [zm,obj2.coef]);

end

end

Here is how the function works:

• Ensure that both input arguments are DocPolynom objects so that expressions such
  as

p + 1

that involve both a DocPolynom and a double, work correctly.

• Access the two coefficient vectors and, if necessary, pad one of them with zeros to
  make both the same length. The actual addition is simply the vector sum of the two
  coefficient vectors.


• Call the DocPolynom constructor to create a properly typed object that is the result of
  adding the polynomials.

Define - Operator

Implement the minus operator (-) using the same approach as the plus (+) operator.

The minus method computes p - q. The dominant argument must be a DocPolynom

object.

methods

function r = minus(obj1,obj2)

obj1 = DocPolynom(obj1);

obj2 = DocPolynom(obj2);

k = length(obj2.coef) - length(obj1.coef);

zp = zeros(1,k);

zm = zeros(1,-k);

r = DocPolynom([zp,obj1.coef] - [zm,obj2.coef]);

end

end

Define the * Operator

Implement the mtimes method to compute the product p*q. The mtimes method

implements matrix multiplication since the multiplication of two polynomials is the

convolution (conv) of their coefficient vectors:

19 Defining Custom Data Types