C++代写：CMPSC122 Matrix

使用C++代写一个Matrix运算器，实现Matrix类的基本操作。

Matrix Class

A matrix is rectangular array of items laid out in rows and columns. The dimensions, or size, of a matrix can be expressed as m x n or m-by-n, where m is the number of rows in the matrix and n is the number of columns in the matrix.

The individual elements in A can be expressed as ai,j, where i (the row) is a number from 1 to m and j (the column) is a number from 1 to n. For example, the value at element a1,3 is 2.

Write a program (called matrix.cpp) that does that following:

1. Implement a class called Matrix that:
   • Contains private member fields for the number rows and columns of the matrix
   • Contains a public member field to contain the matrix elements
     • This should be a 2D array of integers that is implemented dynamically
   • Contains five public functions
     • add function, that adds two same sized matrices together and returns a new matrix with the result
     • subtract function, that subtracts two same sized matrices together and returns a new matrix with the result
     • multiply function, that performs proper matrix multiplication and returns a new matrix with the result
     • scalar function, that performs scalar multiplication with an integer value and a matrix, and returns a new matrix with the result
     • print function, that outputs the contents of the matrix in tabular form that matches the dimensions of the matrix
   • Contains a non-default constructor
     • Constructor that accepts size information, and dynamically creates the matrix
   • Contains a destructor
     • That properly handles discarding the dynamically created 2D array (using delete and setting the member field to null

2. Prompts the user for:

   • The dimensions of a first matrix
   • The contents of the first matrix, which is then filled into the newly created matrix object instance.
   • The dimensions of a second matrix

   • The contents of the second matrix, which is used to fill the newly created matrix instance
     Sample prompts with appropriate user responses:

     Number of Rows in Matrix 1: 5
     Number of Columns in Matrix 1: 2
     Values of Matrix 1 (expecting 10): 6 7 10 3 5 31 0 9 2
     Note: You must use the above format for entering the values of the matrix.
     When entering values to fill a matrix, all values should be provided on one line.

3. Performs the following calculations and prints each result using the print function

• Each of the four matrix mathematical methods should be called, each result stored in a new object
• If the dimensions of the two matrices involved do not allow for the operation to be performed, skip performing this calculation, and display a message stating that step has been skipped.
  • For example, if I have a 3x4 matrix and a 4x2 matrix, I cannot add or subtract these together, but I can perform multiplication
• Each calculation should be printed with a full explanation
  • For scalar multiplication, you can either use an integer literal or generate a random integer. Just be sure to print the value of the integer value as part of the output when performing this function.
  • The calculation being performed should be explained; and the contents of each matrix or value involved should be printed and identified.

Matrix Class with Overloaded Operators

Using the class from the first portion of the assignment, write a program (called matrix_ops.cpp) that does the following:

1. Overloads the following operators using friend:
   • + Replicate the functionality of the add function from matrix.cpp
   • - Replicate the functionality of the subtraction function from matrix.cpp
   • * Overload this to replicate the functionality of both the matrix multiplication and scalar multiplication functions from matrix.cpp. This operator should be overloaded a total of 3 times.
   • << Replicate the functionality of the print function from matrix.cpp
     Used in the following way: cout << matrix_instance1;
   • >> Used as the only way to fill in a matrix with values. Used in the following way: cin >> matrix_instance1;
2. Remove the five public functions of the Matrix class, and use only overloaded operators to perform the same functionality/output as in the matrix.cpp
3. Performs the following calculations and prints each result using the overloaded >> operator

• Each of the four matrix mathematical methods should be called, each result stored in a new object. Be sure you invoke scalar multiplication once for each overloaded operator
  • int * Matrix
  • Matrix * int
• If the dimensions of the two matrices involved do not allow for the operation to be performed, skip performing this calculation, and display a message stating that step has been skipped.
  • For example, if I have a 3x4 matrix and a 4x2 matrix, I cannot add or subtract these together, but I can perform multiplication
• Each calculation should be printed with a full explanation
  • For scalar multiplication, you can either use an integer literal or generate a random integer. Just be sure to print the value of the integer value as part of the output when performing this function.
  • The calculation being performed should be explained; the contents of each matrix or value involved should be printed and identified.

Compiling the Program

Use the following command to compile your classes:

g++ -Wall -o <output_name> <program_name.cpp>

Example:

g++ -Wall -o matrix matrix.cpp

Remember: Your code must successfully compile without any warnings or errors, or a zero will be given for the assignment.

Submission

• Electronic Submission
  • Your two source code files (matrix.cpp, matrix_ops.cpp)
  • Zip file of source code (can include optional README file to demonstrate how to run your program) submitted via CANVAS drop box by close of assignment