A templated Matrix class using 2d dynamic array declaration & having The most needed Mathematical functions of Matrix & also all the operators needed in standard c++ (without using any vc commands)

• Download check.zip - 0.6 KB Matrix.h file
• Download Matrix.zip - 3.7 KB A program that shows how to Initialize the class & how to use the functions\operators

Introduction

This Matrix class is a templated class that can be initialized as any kind of numeric types(int, double,float,& etc). it includes Inverse & determinant functions (which are not so easy to write the code) & also all the operators needed for a Matrix class like Multiplying 2 matrix or multiplying a digit to the matrix. it is able to be any size & also it is easy to use.

Instruction

the uploaded file check.zip contains a file which shows how the Matrix can get initialized & how the operators or functions work. Note that parentheses is maybe the most important operator.it allows you to get access to the array elements ,as :

matrix1(2,0)=5;

Member functions of class Matrix

These are all the member functions & operators of the class :

template<class T>
class Matrix
{
public:

1. Matrix(int Row_Size,int Column_Size)
2. Matrix() >
3. Matrix(const Matrix<T> &)
4. ~Matrix(void)
5. void Set_Element(int Row_,int Column,const T& Value)
6. T Get_Element(int Row ,int Column) const
7. bool operator!() const;
8. const Matrix<T> & operator=(const Matrix<T> &)
9. const Matrix<T> & operator=(const T&)
10. bool operator==(const Matrix<T> &) const
11. bool operator==(const T & ) const
12. bool operator!=(const Matrix<T> & second) const
13. bool operator!=(const T & number)
14. T &operator() (int Row,int Column)
15. Matrix<T> operator+(const T &)
16. Matrix<T> operator+(const Matrix<T> &)
17. const Matrix<T> &operator+=(const T&)
18. const Matrix<T> & operator+=(const Matrix<T> &)
19. Matrix<T> operator-(const T&)
20. Matrix<T> operator - (const Matrix<T> &)
21. const Matrix<T> & operator -=(const T & )
22. const Matrix<T> & operator -=(Matrix<T> & )
23. Matrix<T> operator*(const T&)
24. Matrix<T> operator* (const Matrix<T> &)
25. const Matrix<T> & operator*=(const T&)
26. const Matrix<T> & operator*=(const Matrix<T> &)
27. void Transposed();>
28. Matrix<T> GetTransposed() const
29. bool Inverse();>
30. Matrix<T> GetInversed() const
31. double Det() const
32. void Set_Size(int RowSize,int ColumnSize)
33. const int& Get_ColumnSize() const
34. const int & Get_RowSize() const

private:

• int m_RowSize
• int m_ColumnSize
• T**m_Data

};

Notes

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note:The returned argument of Inverse (a boolean ) Shows weather the matrix is Invertible & if it is ,inverts the Matrix

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note:I have written this code in vc 2005 but it is not a managed code.if you compile it in vc6 you will see some errors that as an instance i is redeclared .thats because vc6 is alittle differant as when you declare i this way :for (int i=0;i<5;i++){ /*statements*/}

i is destroyed after for statement but in vc6 it is a declared variable even after for statement.but it is easy to change it to vc6 by debugging such errors in vc.you can do it yourself.

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note:the only code i have not written my self is determinant because i have found a great one being written by Paul Bourke .to find the original code go to http://local.wasp.uwa.edu.au/~pbourke/other/determinant/

Some Technics that are used in Class

to announce one,I have to point to the way the element array (m_Data) is declared using new command:

consider the m_RowSize & m_ColumnSize are given

m_Data=new T* [m_RowSize];

for(int i=0;i<m_RowSize;i++)

m_ColumnSize=new T [m_ColumnSize];

HOPE YOU USE & ENJOY IT

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I think there is a bug [modified] sizheng 20:54 13 Aug '07   it's here: template<class T> Matrix<T>   Matrix<T>::operator *(const Matrix<T> & second) {             if(m_ColumnSize!=second.Get_RowSize() || m_RowSize!=second.Get_ColumnSize())           exit(0);      Matrix<T> Temp(m_RowSize,second.Get_ColumnSize());      for(int i=0;i<m_RowSize;i++)           for(int j=0;j<second.Get_ColumnSize();j++)           {                Temp(i,j)=0;                for(int k=0;k<m_ColumnSize;k++)                     Temp(i,j)+=(m_Data[i][k]*second.Get_Element(k,j));           }      return Temp; } look at if(m_ColumnSize!=second.Get_RowSize() || m_RowSize!=second.Get_ColumnSize()), it seems the second part m_RowSize!=second.Get_ColumnSize() should not exist, because we know when a left matrix multiplies a right matrix, we only need the column number of the left one equals to the row number of the right one, but not the row number of the left one equals to the column number of the right one. i fixed it into if(m_ColumnSize!=second.Get_RowSize()), then it works. sizheng Sign In·View Thread·PermaLink Re: I think there is a bug shahin namini 22:09 18 Aug '07   Hi & Thanks for ur notation sizheng you r right. I had had a numerical analysis project that was about square matrixes & did it with the Matrix class & thats why I didn't mention that big bug. B/rgds Shahin Namini Sign In·View Thread·PermaLink A problem cclever 23:48 10 Apr '07   Firstly, thank you for your code ! It is very helpful for me,but there is a problem. When I use it with MFC,there is a error"error LNK2005: "double __cdecl Determinant(double * *,int)" (?Determinant@@YANPAPANH@Z) already defined in ****.obj".I think you should change the position of the definition of "Determinant" Sign In·View Thread·PermaLink Re: A problem shahin namini 2:50 12 Apr '07   you are right cclever thats because I havent defined determinant function in the #ifndef MATRIX_H #define MATRIX_H Copy determinant function to the class or at least after #define MATRIX_H then you wont have such an linking error anymore & also thanks for using my code CClever Sign In·View Thread·PermaLink 2.00/5 (1 vote)

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