How to resolve the algorithm Parametric polymorphism step by step in the C++ programming language

Published on 7 June 2024 03:52 AM

How to resolve the algorithm Parametric polymorphism step by step in the C++ programming language

Table of Contents

Problem Statement

Parametric Polymorphism is a way to define types or functions that are generic over other types. The genericity can be expressed by using type variables for the parameter type, and by a mechanism to explicitly or implicitly replace the type variables with concrete types when necessary.

Write a small example for a type declaration that is parametric over another type, together with a short bit of code (and its type signature) that uses it.

A good example is a container type, let's say a binary tree, together with some function that traverses the tree, say, a map-function that operates on every element of the tree. This language feature only applies to statically-typed languages.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Parametric polymorphism step by step in the C++ programming language

The provided C++ code defines a binary tree data structure using a generic template class tree. Here's a detailed explanation of the code:

  1. Template Class tree:

    • The tree class is defined as a generic template class with a type parameter T, which allows it to work with different types of data.
    • It has three member variables:
      • value: Stores the data value of the node.
      • left: Pointer to the left child node.
      • right: Pointer to the right child node.
  2. replace_all Method:

    • The replace_all method is a member function of the tree class. It takes one argument:
      • new_value: The new value to replace the current values in the nodes.
    • The purpose of this method is to recursively replace all the values in the tree with the new_value.
  3. Implementation of replace_all Method:

    • The replace_all method replaces the current value in the current node with the new_value.
    • It then checks if the left child node is not NULL. If it's not NULL, it recursively calls replace_all on the left child node to replace its values as well.
    • Similarly, it checks if the right child node is not NULL. If it's not NULL, it recursively calls replace_all on the right child node to replace its values as well.
  4. Usage of replace_all Method:

    • To use the replace_all method, you would create a tree object and then call the replace_all method on it, passing the new value you want to replace all the values in the tree with.
    • This method allows you to easily update all the values in a binary tree with a new value.

Source code in the cpp programming language

template<class T> 
class tree
{
  T value;
  tree *left;
  tree *right;
public:
  void replace_all (T new_value);
};


template<class T>
void tree<T>::replace_all (T new_value)
{
  value = new_value;
  if (left != NULL) 
    left->replace_all (new_value);
  if (right != NULL)
    right->replace_all (new_value);
}


  

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