重构-C++实现矩阵的简单实例

重构-C++实现矩阵的简单实例

#include 
#include  
using namespace std;
double cofactor(double* detPtr,int rank,int t);   //代数余子式 
double valDet( double *detPtr, int rank);      //行列式 

template 
void exchange(T& t1,T& t2){T temp;temp=t1;t1=t2;t2=temp;} //交换
 
class SquareMatrix;
class Matrix{
  public:
    friend class SquareMatrix;     //配合转换函数食用
    Matrix(){m=n=mn=0;} //默认构造函数 
    Matrix(int mt,int nt);//构造矩阵 
    Matrix(const Matrix& mtrx);    //复制构造函数 
    Matrix(int mt,int nt,double* a);  //数组初始化矩阵 
    
    Matrix transposeMtrx();      //转置矩阵 
  //初等变换
    void exchangeRow(int r1,int r2,int c=0);      //交换行 
    void multiRow(int r,int k,int c=0); //数乘行
    void addMultiRow(int r1,int r2,int k=1,int c=0);  //r1+=k*r2
    void exchangeColumn(int c1,int c2,int r=0);      //交换列 
    void multiColumn(int c,int k,int r=0); //数乘列 
    void addMultiColumn(int c1,int c2,int k=1,int r=0);  //c1+=k*c2

    Matrix& operator =(const Matrix& mtrx); //赋值构造函数 
    friend istream& operator>>(istream& input,Matrix& mtrx); 
    friend ostream& operator<<(ostream& output,Matrix& mtrx); //输出矩阵 
    friend Matrix operator*(Matrix& m1,Matrix& m2);  //矩阵乘法 
  protected:
    int m;
    int n;
    int mn;
    double* matrixPtr;
};

class SquareMatrix:public Matrix{
  public:
    SquareMatrix():Matrix(){}      //默认构造函数 
    SquareMatrix(int mt):Matrix(mt,mt){};//构造函数 
    SquareMatrix(int mt,double* a):Matrix(mt,mt,a){}; //数组初始化方阵 
    SquareMatrix(const Matrix& mtrx);  //矩阵到方阵转换 
    
    SquareMatrix transposeSqrMtrx();    //转置方阵 
    SquareMatrix adjugateSqrMatrix();    //伴随矩阵 
    SquareMatrix inverseSqrMatrix();    //逆矩阵 

    friend istream& operator>>(istream& input,SquareMatrix& mtrx); 
  //输入方阵 
    friend SquareMatrix operator *(SquareMatrix& sm1,SquareMatrix& sm2);
  //方阵乘法 
    double getDet();    //行列式的值 
  private:
};

Matrix::Matrix(int mt,int nt){ //初始化m*n矩阵 
  m=mt;n=nt;mn=m*n;
  matrixPtr=new double[mn];
}

Matrix::Matrix(const Matrix& mtrx){     //复制构造函数 
  m=mtrx.m;n=mtrx.n;mn=mtrx.mn;
  matrixPtr=new double[mn];
  for(int i=0;i>(istream& input,Matrix& mtrx){  //重载>> 
  if(!mtrx.m){
    cout<<"enter the m,n of matrix:";
    input>>mtrx.m>>mtrx.n;
    mtrx.mn=mtrx.m*mtrx.n;
    mtrx.matrixPtr=new double[mtrx.mn];
    cout<<"enter the matrix:"<>mtrx.matrixPtr[i];
  return input;
}

Matrix Matrix::transposeMtrx(){    //转置矩阵 
  Matrix mtrx(n,m);
  for(int i=0;i>(istream& input,SquareMatrix& mtrx){  //重载>> 
  if(!mtrx.m){
    cout<<"enter the m of squareMatrix:";
    input>>mtrx.m;
    mtrx.n=mtrx.m;mtrx.mn=mtrx.m*mtrx.n;
    mtrx.matrixPtr=new double[mtrx.mn];
    cout<<"enter the squareMatrix:"<>mtrx.matrixPtr[i];
  return input;
}

SquareMatrix SquareMatrix::transposeSqrMtrx(){//转置方阵 
  return SquareMatrix((*this).transposeMtrx());
} 

SquareMatrix SquareMatrix::adjugateSqrMatrix(){      //伴随矩阵 
  SquareMatrix aSM(m);
  for(int i=0;i=(t/rank)*rank&&i<(t/rank)*rank+rank||!((t-i)%rank));  //如果i和t同行或同列 
    else{
      nextDetPtr[j]=detPtr[i];
      j++;
    }
  return valDet(nextDetPtr,rank-1)*pow(-1.0,t/rank+t%rank);
} 

int main(){
  cout<

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