matrix class project final report

8/7/2019 Matrix Class Project Final Report

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PROJECT DESCRIPTION

Project Main Objectives: Increase The understanding of Object Oriented Programming concepts Use These concepts in Implementation small program which can do some Matrix

Operations Increase The understanding of C++ as Object Oriented Programming Languageand how to use its Data Structures in Implementation this program

IMPLEMENTATION:

MAIN CLASSES

Heres we have only 1 Class which name is Matrix and it contains all members(Variables & Functions) that we need to do Matrix operations.

CLASSSES DESCRIPTION

MATRIX CLASS

Class Purpose:

Declare all attributes (variables) like number of columns and rows for everyinstances of this class and these attributes are needed to do matrix operations

Declare all Methods (Functions) like Matrices Addition , Substraction & all othersbasic operations

Private members:

Attributes: row (Integer) : Store the number of rows for each matrixs object col (Integer) : Store the number of columns for each matrixs object **P (float pointer refers to another pointer):

This pointer used to declare 2 dimension dynamic array which will be needed

to store the values of matrix. Methods:

Theres no private methods


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P ublic members: Attributes:

Theres no public attributes

Methods: matrix (int a,int b) (Constructor) ~matrix () (Destructor) matrix (const matrix& m) (Copy Constructor) trans() det() printing() writing() aexample() bexample()

PUBLIC MEMBERS DETAILS

1.Constructor:Syntax: matrix (int a,int b)Inputs: a,b (integers)Outputs: No Output

Main Function: Inialize Matrix Object

Implementation details:

Description matrix (int a,int b)

Declare i & j for loops Pass the value of a & b to row &

col of the object

Creating 2D Dynamic Array

Inialize matrix values with zero

int i,j;

row=a; col=b;

p= new float *[row];

for (i=0;i


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{

for (j=0;j


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1. Destructor:Syntax: ~ matrix ()Inputs: No inputsOutputs: No outputsMain Function: Free allocated memory reserved for

2D Dynamic array of matrix object


Description ~matrix ()

Declare i for loop Delete 2D Dynamic Array int i;

for (i=0;i


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p[i]= new float [col];

for (i=0;i


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1. Transpose:Syntax: matrix trans()Inputs: No Inputs

Outputs: Matrix objectMain Function: Convert each Row to Column

Function details:Make new matrix have same number of rows & columns of (this)matrix then put first row in (this) matrix in first column in new matrixand second row in (this) matrix in second column in new matrix and soon then return back new matrix.

Implementation details:Description matrix trans()

Declare i & j for loops Declare New matrix object called

temp Creating 2D Dynamic Array for

temp Object

Copy each row of (this) matrix toeach column of temp object

int i,j;

matrix temp(row,col);

temp.p= new float *[row];

for ( i=0;i


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Main Function: Print the Contents of (this)Matrix


Description void printing()

Print Matrix = in screen Declare i & j for loops

Move to new line to print new row Print the contents of each row

Move to new line after finishing

cout


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Use nested loops to insert value foreach element of matrix cout


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1. Overloading + Operator :Syntax: matrix operator +(const matrix& a)Inputs: m (matrix passed by Reference)Outputs: Matrix objectMain Function: Addition operation between two

objects of class matrix

Function details:This function is used to do addition operation between 2 objects frommatrix class and it can be done by add each element of first object tocorresponding element in second object where the first object is (this)

matrix and second object is (a) noting that if the 2 objects haventsame dimensions the function will return matrix with zero elementsand has same dimension of Matrix a.


Description matrix operator+(const matrix& a)

Declare new matrix called temp Notify user if there dimensions

difference between (this) matrix and(a) matrix

Return matrix temp which is initializedwith zero values in case of dimensions difference

In case of same dimensions doaddition operation

Use nested loops to add eachelement in (this) to correspondingelement in (a) and put the result in(temp)

Return temp matrix

matrix temp(a.row,a.col);

if ((a.col!=col)||(a.row!=row))

{ cout


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1. Overloading - Operator :Syntax: matrix operator -(const matrix& a)Inputs: m (matrix passed by Reference)Outputs:

Matrix objectMain Function: Substraction operation between twoobjects of class matrix

Function details:This function is used to do subtraction operation between 2 objectsfrom matrix class and this can be done by doing this operationbetween each element of first object and corresponding element insecond object where the first object is (this) matrix and second object

is (a) noting that if the 2 objects havent same dimensions the functionwill return matrix with zero elements and has same dimension of Matrix a.


Description matrix operator-(const matrix& a)

Declare new matrix called temp Notify user if there dimensions


Return matrix temp which is initializedwith zero values in case of dimensions difference

In case of same dimensions dosubtraction

Use nested loops to do subtractionbetween each element in (this) andcorresponding element in (a) and putthe result in (temp)

Return temp matrix

matrix temp(a.row,a.col);


{ cout


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1. Overloading = Operator :Syntax: matrix operator =(const matrix& a)Inputs: m (matrix passed by Reference)Outputs:

Matrix objectMain Function: Assign object from class matrix toanother one

Function details:This function used to assign all attributes of one object to another onewhere the object which is at right hand side of equal operator isassigned to the one which is at left hand side noting that if the 2objects havent same dimensions the object will not be assigned


Description matrix operator=(const matrix& a)

Check dimensions difference Notify user if there dimensions


Return (this) matrix with no changein its value

In case of same dimensions assignpassed object to (this) object

Use nested loops to do assignmentoperation for each element in (this)and corresponding element in (a)

Return (this) matrix


{ cout


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1. Determinant of matrix :Syntax: double det()Inputs: No InputsOutputs:

Determinant Value (Double)Main Function: Calculate determinant of matrix

Function details:Calculate the determinant of matrix using Gauss Elimination Method


Description double det()

Check if the matrix is square matrixor not

Check if the determinant equal zero

Calculate the determinant usinggauss elimination

matrix tmp(row,col);

tmp=* this ;

double det_value=1.0;

float *temp,A;

int r=1;

temp= new float [col];

if (row!=col){ cout


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Return det_value { for ( int r=k;r


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1. Inverse of matrix :Syntax: matrix inv()Inputs: No InputsOutputs:

matrix object (Double)Main Function: Calculate inverse of matrix

Function details:Calculate the inverse of matrix using Gauss Elimination Method


Description matrix inv()

Check if the matrix is square matrixor not

Check if the determinant equal zero

Calculate the inverse using gausselimination

float m; int d=0; int l=0;

float x=0; float y=0;

if (row != col)

{ cout


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Return (b)matrix

for ( int i=0;i


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1. Initializing Matrix with specific values (1) :Syntax: void aexample()Inputs: No InputsOutputs:

No OutputsMain Function: initialize object with specficvalues for testing purpose

Function details:Initializing object with 3x3 Matrix which have the following values2.4530.220.5449455.512Implementation details:

Description void aexample()

Print Inialize Matrix inscreen

Assigning values to (this)matrix object

cout


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in screen

Assigning values to (this)matrix object

cout


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PERFORMANCE & FUNCTIONALITY TEST

Functionality Test: The functionality test done by using two member functions

aexample() and bexample() which are used to initialize 3x3matrix object with specific values

At the starting of our test we will declare 3 objects of matrix

class and initialize 2 of them with values in aexample() andbexample() then put the result of any operation in the thirdone.

After that we will test each operation that class can do andthen compare the outputs of matrix class with outputs of MATLAB 2009 Program

Performance Test: To measure the performance of Matrix class operations we

will use this code:

where will be replaced by one of matrix memberfunctions

and execution time of operation will appear will running theprogram

To measure the performance of same operations in MATLABwe will use this code:

clock_t start =clock();

clock_t end =clock(); cout


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where will be replaced by one of MATLABfunctions which do the same operation that matrix class do ,noting that the syntax of same operation is different betweenMatrix Class & MATLAB Program

Here is also execution time of operation after the above

statements executed

Operation Table: The Table below will show all operation that Matrix class can

do and the corresponding one in MATLAB Note that A ,B and C each one of them is matrix and D is

Double

Operation Table Matrix Class Syntax MATLAB Syntax

Declaring 3x3

Matrix

matrix A(3,3);

A.writing();

A=[row1;row2;row3]

;

AdditionC=A+B;C.printing();

C=A+B

SubtractionC=A-B;C.printing();

C=A-B

MultiplicationC=A*B;

C.printing();

C=A*B

Transpose C=A.trans(); C=A

Determinantdouble D;D=A.det();cout


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cout


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Examples: Here is a complete example code to do addition operation This example will be used also to measure performance of

each operationMatrix class:

int main(){

matrix A(3,3),B(3,3),C(3,3);

A.aexample();

B.bexample();

clock_t start =clock();

C=A+B; //These statements can be replaced

C.printing(); //by any operation from table

cout


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matrix class project final report

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