对于长期以来提出的问题，我深表歉意，这只是我第二次使用此网站。在不久的将来，我将确保我的问题得到有条不紊的综合。
我正在写一个包含重载乘法的by m矩阵类。目前，仅当第一个输入矩阵的列与第二个矩阵的行匹配时，代码才对n×n和n×m矩阵乘法起作用。因此，例如：
a1 a2 * b1
b2
这将起作用（对不起，我没有足够的信誉度来发布图像，但是可以将其视为1x2矩阵* 2x1矩阵）。
a1 * b1 b2
a2
但是这种类型的输入不起作用。
我的矩阵类由下式给出：
#include<iostream>
#include <stdlib.h>
using namespace std;
class dymatrix
{
friend ostream & operator << (ostream &os, const dymatrix &om);
friend istream & operator >> (istream &is, dymatrix &om);
private:
int rows;
int columns;
double *matrix;
public:
dymatrix(){cout<<"Default constructor called"<<endl; columns = 0; rows=0; matrix=0;}
~dymatrix(){cout<<"Destructor called"<<endl;delete[] matrix;}
dymatrix(int inrows, int incolumns) //Parametrised objects, matrix database is defined here to store data.
{
rows = inrows;
columns = incolumns;
matrix = new double [inrows*incolumns];
for (int i=0; i<inrows*incolumns; i++)
{
matrix[i]=0;
}
}
int lengthr() const {return rows;} //Returns number of rows.
int lengthc() const {return columns;} //Return number of columns.
dymatrix &operator=( dymatrix &arr); //This is the assignment member function.
dymatrix(dymatrix&); //This is the deep copy member function.
dymatrix operator*(const dymatrix& arr)const ; //Overloading "*" operator.
double & operator[](const int n) //Overloading "[]" operator, this is important !!!
{
if(n<0 || n>=rows*columns)
{
cout<<"Error: trying to access matrix element out of bounds"<<endl;
exit(1);
}
return matrix[n];
}
int index(int j, int i) const //This member function returns the position of each index.
{
if (j > 0 && j <=rows && i > 0 && i <=columns)
{
//cout<<"i is "<<i<<" j is "<<j<<endl<<endl<<"row is "<<rows<<" columns is "<<columns<<endl;
return (i-1)+(j-1)*columns;
}
else {cout<<"Error, out of range"<<endl<<"i is "<<i<<" j is "<<j<<endl<<endl<<"row is "<<rows<<" columns is "<<columns<<endl; exit (1);}
}
double & operator()(int j, int i) const {return matrix[index(j,i)];} //The operator () returns the position of j and i in 1D array.
}; //Class End.
其中“ index ”成员函数将矩阵内每个元素的位置返回到一维数组中：
int index(int j, int i) const //This member function returns the position of each index.
{
if (j > 0 && j <=rows && i > 0 && i <=columns)
{
//cout<<"i is "<<i<<" j is "<<j<<endl<<endl<<"row is "<<rows<<" columns is "<<columns<<endl;
return (i-1)+(j-1)*columns;
}
else {cout<<"Error, out of range"<<endl<<"i is "<<i<<" j is "<<j<<endl<<endl<<"row is "<<rows<<" columns is "<<columns<<endl; exit (1);}
}
double & operator()(int j, int i) const {return matrix[index(j,i)];} //The operator () returns the position of j and i in 1D array.
这是我在课外重载乘法“ *”运算符的部分：
dymatrix dymatrix:: operator * (const dymatrix &arr) const //Overloading "*" operator.
{
if (columns != arr.rows)
{
cerr<<"SIZE DO NOT MATCH, YOU FAIL"<<endl; exit(1);
}
dymatrix new_matrix(rows,arr.columns);
for (int j = 1; j <= rows; j++)
{
for (int i = 1; i <= arr.columns; i++)
{
for (int k = 1; k <= columns; k++)
{
new_matrix.matrix[index(j,i)]= new_matrix.matrix[index(j,i)]+ matrix[index(j,k)]*arr(k,i);
cout<<"new_matrix = "<<new_matrix<<endl<<endl;
}
}
}
return new_matrix;
}
这里给出了int main：
int main()
{
dymatrix a1;
cin >> a1; //Define the rows of the matrix
cout << a1<<endl<<endl;
dymatrix a2;
cin >> a2;
cout << a2<<endl<<endl;
dymatrix resu_a3;
resu_a3 = a1*a2;
cout<<"Multiplication = "<<resu_a3<<endl;
return 0;
}
因此，我在运行代码后收到的错误消息是我在“ index ”成员函数中编写的错误消息：
“错误，超出范围”。
该错误消息表明i和j分别小于0或大于现有的列和行的数量，我不明白为什么会是这种情况。
我的完整代码在这里给出：
#include<iostream>
#include <stdlib.h>
using namespace std;
class dymatrix
{
friend ostream & operator << (ostream &os, const dymatrix &om);
friend istream & operator >> (istream &is, dymatrix &om);
private:
int rows;
int columns;
double *matrix;
public:
dymatrix(){cout<<"Default constructor called"<<endl; columns = 0; rows=0; matrix=0;}
~dymatrix(){cout<<"Destructor called"<<endl;delete[] matrix;}
dymatrix(int inrows, int incolumns) //Parametrised objects, matrix database is defined here to store data.
{
rows = inrows;
columns = incolumns;
matrix = new double [inrows*incolumns];
for (int i=0; i<inrows*incolumns; i++)
{
matrix[i]=0;
}
}
int lengthr() const {return rows;} //Returns number of rows.
int lengthc() const {return columns;} //Return number of columns.
dymatrix &operator=( dymatrix &arr); //This is the assignment member function.
dymatrix(dymatrix&); //This is the deep copy member function.
dymatrix operator*(const dymatrix& arr)const ; //Overloading "*" operator.
double & operator[](const int n) //Overloading "[]" operator, this is important !!!
{
if(n<0 || n>=rows*columns)
{
cout<<"Error: trying to access matrix element out of bounds"<<endl;
exit(1);
}
return matrix[n];
}
int index(int j, int i) const //This member function returns the position of each index.
{
if (j > 0 && j <=rows && i > 0 && i <=columns)
{
//cout<<"i is "<<i<<" j is "<<j<<endl<<endl<<"row is "<<rows<<" columns is "<<columns<<endl;
return (i-1)+(j-1)*columns;
}
else {cout<<"Error, out of range"<<endl<<"i is "<<i<<" j is "<<j<<endl<<endl<<"row is "<<rows<<" columns is "<<columns<<endl; exit (1);}
}
double & operator()(int j, int i) const {return matrix[index(j,i)];} //The operator () returns the position of j and i in 1D array.
}; //Class End.
dymatrix::dymatrix(dymatrix &arr) //This is the copy constructor for deep copying.
{
matrix = 0; rows = arr.lengthr(); columns = arr.lengthc();
if (rows*columns >0)
{
matrix = new double [rows*columns];
for (int i =0; i < rows*columns; i++)
{
matrix[i] = arr[i];
}
}
}
dymatrix & dymatrix ::operator = (dymatrix &arr)
{
if(&arr == this) return *this; // no self assignment
delete[] matrix; matrix=0; rows=columns=0;
rows=arr.lengthr();
columns = arr.lengthc();
if(rows*columns>0)
{
matrix=new double[rows*columns];
// Copy values into new array
for(int i=0;i<rows*columns;i++) matrix[i] = arr[i];
}
return *this; // Special pointer!!
}
istream & operator >> (istream &is, dymatrix &om) //Overloading ">>" operator here to
{
cout<<"Please enter the number of rows you want"<<endl;
is >> om.rows; //Inputting number of rows.
cout<<"Enter the number of columns you want"<<endl;
is >> om.columns; //Inputting number of columns.
cout<<"Enter matrix"<<endl;
om.matrix = new double [om.rows*om.columns]; //Making a dynamic array here to put the data in.
for (int j = 1; j <= om.rows; j++)
{
for (int i = 1; i <= om.columns; i++)
{
is >> om.matrix[om.index(j,i)]; //Putting in the data into this dynamic array for each element.
}
}
return is;
}
ostream & operator << (ostream &os, const dymatrix &om) //To output the matrix in an standard matrix way
{
for(int j= 1; j<=om.rows; j++)
{
os<<endl<<endl;
for (int i = 1; i <=om.columns;i++)
{
os << om.matrix[om.index(j,i)]<<"\t"; //Similar method used in istream.
}
}
return os;
}
dymatrix dymatrix:: operator * (const dymatrix &arr) const //Overloading "*" operator.
{
if (columns != arr.rows)
{
cerr<<"SIZE DO NOT MATCH, YOU FAIL"<<endl; exit(1);
}
dymatrix new_matrix(rows,arr.columns);
for (int j = 1; j <= rows; j++)
{
for (int i = 1; i <= arr.columns; i++)
{
for (int k = 1; k <= columns; k++)
{
new_matrix.matrix[index(j,i)]= new_matrix.matrix[index(j,i)]+ matrix[index(j,k)]*arr(k,i);
cout<<"new_matrix = "<<new_matrix<<endl<<endl;
cout<<"k "<<k<<endl<<" arr.columns is "<<arr.columns<<endl<<"columns is "<<columns<<endl<<endl;
}
}
}
return new_matrix;
}
int main()
{
dymatrix a1;
cin >> a1; //Define the rows of the matrix
cout << a1<<endl<<endl;
dymatrix a2;
cin >> a2;
cout << a2<<endl<<endl;
dymatrix resu_a3;
resu_a3 = a1*a2;
cout<<"Multiplication = "<<resu_a3<<endl;
return 0;
}
在您的乘法运算符代码中，此行是错误的：
new_matrix.matrix[index(j,i)]= new_matrix.matrix[index(j,i)]+ matrix[index(j,k)]*arr(k,i);
问题是那index(j,i)真的是this->index(j,i)，而不是new_matrix.index(j,i)您所期望的...
您应该将其替换为以下内容：
new_matrix(j,i) += matrix[index(j,k)]*arr(k,i);
但是真正的问题是：您有充分的理由要实现自己的矩阵类，而不是使用经过试验验证的矩阵库（例如Armadillo）吗？
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