It contains two programs:

• LIBRARY HEADER
• TEST PROGRAM

To see the demonstration run the test file by executing "g++ -std=c++11 test_matrix.cpp"

• Creation/Declaration of a matrix

  • Declaration Prototype 1: matrix::matrix< type_name > mat_name(num_rows, num_cols)

    Eg: matrix::matrix<int> mat1(3,3) : This will create a matrix named "mat1" with rows = 3 and columns = 3

  • Declaration Prototype 2: matrix::matrix< type_name > mat_name(num_rows, num_cols, init_value)

    Eg: matrix::matrix<int> mat1(3,3, -3) : This will create a matrix named "mat1" with rows = 3 and columns = 3 with all element values equal to -3

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• Operators overloaded and their usage in matrix class
  • [] Makes matrix class accessible as a normal matrix by indexing
  • = Assign matrix directly to a variable
  • + Adds two matrix instances
  • - Subtracts two matrix instances
  • * Multiplies two matrix instances (It is corresponding elementwise multiplication)
  • += Adds matrix instance to self
  • -= Subtracts matrix instance from self
  • ^ Performs standard matrix multiplication between two matrix instances
  • ^= Performs standard matrix multiplication with self and stores the value
  • << Outputs the matrices as each row in newline and each column element of a row separated by spaces

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• Additional Functionalities implemented
  • FLEXIBLE DATATYPE: A matrix if gets multiplied by another matrix it changes the datatype to the highest attainable datatype:

    Eg: Operation between matrix<double> and matrix<int> will give a matrix<long> and accordingly the datatype will be calculated

  • Dimension malleable on the ^= operation: The dimension of a matrix can change for matrix multiplication and self assignment under this operator.

    If a matrix A of dimension (2, 3) undergoes matrix multiplication with B of dimension(3, 5) and self assignment then matrix A will attain dimension (2, 5)

• It is prepared with boost auto test environment and measures the time for every operation.

(+ operator) Addition of 2 (1000 x 1000) matrices done in: 52 milliseconds.
(- operator) Subtraction of 2 (1000 x 1000) matrices done in: 50 milliseconds.
(+= operator) Addition and self assignment of 2 (1000 x 1000) matrices done in: 51 milliseconds.
(-= operator) Subtraction and self assignment of 2 (1000 x 1000) matrices done in: 49 milliseconds.
(* operator) Corresponding element Multiplication of 2 (1000 x 1000) matrices done in: 51 milliseconds.
(*= operator) Corresponding element Multiplication and self assignment of 2 (1000 x 1000) matrices done in: 52 milliseconds.
(^ operator) Matrix Multiplication of (100 x 200) and (200 x 150) matrices done in: 124 milliseconds.
(^= operator) Matrix Multiplication and self assignment of (100 x 200) and (200 x 150) matrices done in: 124 milliseconds.

Demonstrable Test Case:
Matrix A:
1 2 3
4 5 6
Matrix B:
5 4
3 2
1 0
Matrix C:
14  8
1 26
Matrix D:
4  6
11  6
Addition A + A:
2  4  6
8 10 12
Addition C - D:
10   2
-10  20
Multiplication C * D : 
56  48
11 156
Matrix Multiplication A ^ B
14  8
41 26Expression (A ^ B) + C - D :
24 10
31 46
The demonastrable initialization and operations are done in: 368 microseconds.

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