Matrix Operation Program

Overview

This program performs a custom matrix operation ( A = B \unicode{x2218} C ) where:

• ( B ) is a randomly generated square input matrix.
• ( C ) is a randomly generated square core matrix.
• ( A ) is the resulting output matrix after performing the operation.

Custom Operation

1. Initial Setup:

   • The core matrix ( C ) is aligned with the top-left corner of the input matrix ( B ).
   • Elements of ( C ) are multiplied by corresponding elements in ( B ).
   • The sum of these products is written to the corresponding cell in the result matrix ( A ).

2. Shifting and Calculating:

   • Shift ( C ) one cell to the right and repeat the multiplication and summing process.
   • Continue until ( C ) reaches the end of the current row.
   • Move ( C ) to the beginning of the next row and repeat until the entire input matrix ( B ) is processed.

3. Output Matrix Size:

   • The size of the output matrix ( A ) is calculated as:

     [ \text{output_row_size} = (\text{input_row_size} - \text{core_row_size}) + 1 ]

Requirements

• Dynamic Allocation: Matrices must be declared dynamically.
• Random Generation:
  • Input matrix ( B ): Size between 5x5 and 20x20, values between 10-20.
  • Core matrix ( C ): Size between 2x2 and 5x5, values between 1-10.
• Menu Options:
  1. Generate new matrices and store in "data.txt".
  2. Read matrices from "data.txt".

Usage

1. Compile the Program:

   g++ -o matrix_operation matrix_operation.cpp

Example File Format (data.txt)

input matrix
10 12 15 14 20
11 19 16 18 17
14 15 10 13 16
12 13 18 20 15
11 17 16 15 19
core matrix
5 7
8 4

Example File Format (data.txt)

Press 1-To generate new matrix or press 2-To read the matrices
1
The Output Matrix:
8 7 6 5
9 8 7 6
10 9 8 7
11 10 9 8

Additional Information

• https://www.codespeedy.com/how-to-dynamically-allocate-a-2d-array-in-cpp/
• https://www.techiedelight.com/dynamic-memory-allocation-in-c-for-2d-3d-array/
• https://www.guru99.com/cpp-dynamic-array.html
• https://stackoverflow.com/questions/936687/how-do-i-declare-a-2d-array-in-c-using-new