面向过程高级程序设计.doc

面向过程的高级程序设计设计一个矩阵运算系统，要求能够进行加减，转置，求矩阵的余子式以及代数余子式，行列式，伴随矩阵，以及矩阵求逆头文件：#include#includeusing namespace std;const MS=50;class CMatrixpublic:CMatrix(); / 默认构造函数CMatrix(int row, int column); / 构造函数一CMatrix(const CMatrix& m); / 复制构造函数CMatrix(); / 默认析构函数CMatrix& operator=(const CMatrix& m); / 赋值运算符CMatrix operator+(const CMatrix& m); / 加运算符CMatrix operator-(const CMatrix& m); / 减运算符CMatrix operator-(); / 取负数CMatrix operator*(const CMatrix& m); / 乘法运算符void input(); / 矩阵输入void output(); / 输出该矩阵CMatrix transpose(); / 矩阵转置CMatrix cofactor(int i,int j); / 求矩阵的第(i,j)的余子式int determinant(); / 求矩阵的行列式CMatrix companion(); / 求矩阵的伴随矩阵CMatrix inverse(); / 矩阵求逆private: double * D; /定义多重指针int ROW; / 行 int COL; / 列;CPP函数：#include CMatrix.h CMatrix:CMatrix() /矩阵默认构造函数ROW=0;COL=0;D=(double *) new double MS;int i;for(i=0;iMS;i+)Di=new doubleMS;int j;for(i=0;iMS;i+)for(j=0;jMS;j+)Dij=0;CMatrix:CMatrix(int row, int column) /构造函数重载ROW=row;COL=column;D=(double *) new double MS;int i;for(i=0;iMS;i+)Di=new doubleMS;int j;for(i=0;iMS;i+)for(j=0;jMS;j+)Dij=0;CMatrix:CMatrix(const CMatrix& m) /复制构造函数ROW=m.ROW;COL=m.ROW;int i,j;D=(double *) new double MS;for(i=0;iMS;i+)Di=new doubleMS;for(i=0;iMS;i+) /初始化for(j=0;jMS;j+)Dij=0;for(i=0;iROW;i+)for(j=0;jCOL;j+)Dij=m.Dij;CMatrix:CMatrix() /析构函数delete D;void CMatrix:input() /输入函数int i,j;cout请输入矩阵的行数：ROW;cout请输入矩阵的列数：COL;cout请输入矩阵：endl;for(i=0;iROW;i+)for(j=0;jDij;void CMatrix:output() /输出函数int i,j;for(i=0;iROW;i+)for(j=0;jCOL;j+)coutDij ;coutendl;CMatrix & CMatrix:operator=(const CMatrix & m) /=函数重载ROW=m.ROW;COL=m.COL;int i,j;for(i=0;iROW;i+)for(j=0;jCOL;j+)Dij=m.Dij;return *this;CMatrix CMatrix:operator-() /取负号负号重载int i,j;for(i=0;iROW;i+)for(j=0;jCOL;j+)Dij=-Dij;return *this;CMatrix CMatrix:operator+(const CMatrix& m) /加号函数重载if(ROW!=m.ROW|COL!=m.COL)cout矩阵不能相加！endl;int i,j;for(i=0;iROW;i+)for(j=0;jCOL;j+)Dij=Dij+m.Dij;return *this;CMatrix CMatrix:operator-(const CMatrix& m) /减号函数重载if(ROW!=m.ROW|COL!=m.COL)cout矩阵不能相减！endl;elseint i,j;for(i=0;iROW;i+)for(j=0;jCOL;j+)Dij=Dij-m.Dij; return *this;CMatrix CMatrix:operator*(const CMatrix& m) /乘号符号函数重载CMatrix temp(ROW,m.COL);if(COL!=m.ROW)cout矩阵不能相乘！endl;int i,j,n;for(i=0;iROW;i+)for(j=0;jROW;j+)for(n=0;nCOL;tem.COL=this-ROW;int i,j;for(i=0;iROW;i+)for(j=0;jROW-1;temp.COL=this-COL-1;int m,n,k=0,l;for(m=0;mROW;m+)l=0;for(n=0;nCOL;n+)if(m!=i&n!=j)temp.Dkl=Dmn;if(n!=j) l+;if(m!=i) k+;return temp;int CMatrix:determinant() /求矩阵的行列式if(ROW!=COL)cout此矩阵无行列式endl;if(ROW=1&COL=1)return D00;elseint i,sum=0;for(i=0;icofactor(0,i).determinant();return sum;CMatrix CMatrix:companion() /求伴随矩阵CMatrix temp;temp.COL=this-COL;temp.ROW=this-ROW;int i,j;for(i=0;iROW;i+)for(j=0;jcofactor(i,j).determinant();return temp;CMatrix CMatrix:inverse() /矩阵求逆CMatrix temp;int n;n=this-determinant();if(n=0)cout该矩阵无逆companion();int i,j;for(i=0;iROW;i+)for(j=0;jCOL;j+)temp.Dij/=n;return temp;Main 函数：#includeCMatrix.hvoid main()int a;cout* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *endl;cout* *endl;cout* 矩阵运算系统 *endl;cout* *endl;cout* *endl;cout* 1.求两矩阵相加 2.求两矩阵相减 *endl;cout* 3.求两矩阵相乘 4.求矩阵的逆 *endl;cout* 5.矩阵的转置 6.求矩阵的第(i,j)的余子式 *endl;cout* 7.求伴随矩阵 8.求该矩阵的行列式 *endl;cout* 9.求该矩阵的负矩阵 *endl;cout* 10.求线性方程组的解与系数行列式 *endl;cout* *endl;cout* 作者： *endl;cout* SplashesPopple *endl;cout* *endl;cout* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *endl;cout请选择所需要的功能:; scanf(%d,&a);switch(a)case 1: CMatrix array,array2,array3;cout请输入A1endl;array.input();CMatrix array1(array);cout请输入A2endl;array2.input();array3=array1+array2;cout相加结果为：endl;array3.output();break;case 2:CMatrix array,array2,array3;cout请输入A1endl;array.input();CMatrix array1(array);cout请输入A2endl;array2.input();array3=array1-array2;cout相减结果为:endl;array3.output();break;case 3:CMatrix array,array2,array3;cout请输入A1endl;array.input();CMatrix array1(array);cout请输入A2endl;array2.input();array3=array1*array2;cout相乘结果为:endl;array3.output();break;case 4:CMatrix array;cout请输入A1endl;array.input();cout其逆矩阵为：endl;array.inverse().transpose().output();break;case 5:CMatrix array;cout请输入A1endl;array.input();array.transpose();cout其转置矩阵为：endl;array.output();break;case 6:CMatrix array,array2;cout请输入A1endl;array.input();int i,j;scanf(%d %d,&i,&j);array2=array.cofactor(i,j);array.cofactor(i,j).output();coutarray2.determinant();break;case 7:CMatrix array;cout请输入A1endl;array.input();array.determinant();cout其伴随矩阵为：endl;panion().output();break;case 8:CMatrix array;cout请输入A1endl;array.input();cout该矩阵行列式为：endl;coutarray.determinant()endl;break;case 9:CMatrix array,array2;cout请输入A1endl;array.input();cout该矩阵的负矩阵为：endl;array2=-array;array2.output();break;case 10:CMatrix array_xishu,array_zhi,a