概述
矩阵相乘是矩阵运算中十分基本的概念。
在这里我用类的形式封装了矩阵的存储和表示。内部存储的方式是采用一维数组的形式。
另外引入了异常处理的机制。也算是对C++的基本概念进行了实际应用了。
//
error class
class
BadOccur
...
{
public: BadOccur(int nErrorNum)
...{ ErrorNum = nErrorNum;
} void BadOccurPrint() ...{ cout << ErrorNum << " error occurs!" << endl; }private: int ErrorNum;
}
;
//
matrix class
class
CMatrix
...
{public: CMatrix(int Row = 0, int Col = 0) ...{ if ( Row < 0 || Col < 0) ...{ throw BadOccur(2); } else ...{ nRows = Row; nCols = Col; pValueArray = new int [Row * Col]; } } int operator()(int Row, int Col) const //get the element from the position you have given ...{ if ( Row < 1 || Row > nRows || Col < 1 || Col > nCols) ...{ throw BadOccur(1);//cause error 1 } return pValueArray[(Row - 1) * nCols + Col - 1]; } int& SetData(int i, int j)//abstract the position for you to set data ...{ return pValueArray[(i - 1)* nCols + j - 1]; } int nRows; int nCols; int* pValueArray;}
;
/**/
/** Function Name ：MultiplyMatrix* function ：multiply two matrices* detail ：none* author ：weixiong* time ：2007-2-1* return type ：bool* return description : true two matrices has multiplied* false two matrices can't be multiplied* function parameters ：CMatrix& MatrixA multiply matrix A and B* CMatrix& MatrixB * */
bool
MultiplyMatrix(CMatrix
&
MatrixA, CMatrix
&
MatrixB, CMatrix
&
ResultMatrix)
...
{ if (MatrixA.nCols != MatrixB.nRows) ...{ return false; } else ...{ int Sum = 0; for (int Row = 1; Row <= MatrixA.nRows; Row++) ...{ for (int Col = 1; Col <= MatrixB.nCols; Col++) ...{ for (int i = 1; i <= MatrixA.nCols; i++) ...{ Sum = Sum + MatrixA(Row, i) * MatrixB(i, Col); } ResultMatrix.pValueArray[(Row - 1) * MatrixB.nCols + Col - 1] = Sum; } } return true; }}
int
main()
...
{ try ...{ //CMatrix ErrorMatrix(-1, 0);//example of cause error 2 int Row1 = 0; int Col1 = 0; cout << "Please enter the row and col for the first matrix." << endl; cin >> Row1 >> Col1; int Num = 1; CMatrix MatrixA(Row1, Col1); for (int i = 1; i <= Row1; i++) ...{ for (int j = 1; j <= Col1; j++) ...{ MatrixA.SetData(i, j) = Num++; } } //int a = MatrixA(0, 2);//example of cause error 1 int Row2 = 0; int Col2 = 0; cout << "Please enter the row and col for the second matrix." << endl; cin >> Row2 >> Col2; Num = 1; CMatrix MatrixB(Row2, Col2); for (int i = 1; i <= Row2; i++) ...{ for (int j = 1; j <= Col2; j++) ...{ MatrixB.SetData(i, j) = Num++; } } CMatrix ResultMatrix(Row1, Col2); MultiplyMatrix(MatrixA, MatrixB, ResultMatrix); getchar(); } catch(BadOccur m) ...{ m.BadOccurPrint(); }}
最后
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