继承、重载运算符、虚函数与向量、矩阵运算
这是个关于如何使用继承、重载运算符、虚函数以实现向量和矩阵运算的例子。是我学习时写的,供大家学习C++基本知识使用。
#include <math.h>
#include <iostream.h>
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void error(){
cout<<"error!"<<endl;
};
//=============================================================
class vm
{
public:
vm();
virtual ~vm();
void set();
void print();
};
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class Vec: public vm //继承
{
private:
double *a;
public:
int sv;
Vec()
{ a=new double[1];
sv=1;
}
void set()
{
cout<<"N=";
cin>>sv;
a=new double[sv];
for(int i=0;i<sv;i++)
{
cout<<"a["<<i+1<<"]=";
cin>>*(a+i);
cout<<endl;
};
};
void set(double * v)
{
for(int i=0;i<sv;i++)
*(a+i)=*(v+i);
}
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~Vec(){
delete[]a;
};
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double &operator[](int i)
{
if(i<1||i>sv)error();
return a[i-1];
};
void print(){
for(int i=0;i<sv;i++)
cout<<"a["<<i+1<<"]="<<a[i]<<endl;
};
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void operator -(){
for(int i=0;i<this->sv;i++)
*(a+i)=(-(*(a+i)));
};
Vec &operator=(Vec &m){
a=new double[m.sv];
for(int i=0;i<m.sv;i++)
a[i]=m.a[i];
};
};
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int operator!=(Vec &v1,Vec &v2){
if(v1.sv!=v2.sv){return 0;}
else
for(int i=1;i<=v1.sv;i++)
if( v1[i] != v2[i] )return 0;
else
return 1;
}
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Vec operator+(Vec &m1,Vec &m2){ //加号运算符
if(m1.sv!=m2.sv)error();
Vec temp;
for(int i=1;i<=m1.sv;i++)temp[i]=m1[i]-m2[i];
return temp;
};
Vec operator-(Vec &m1,Vec &m2){ //减号运算符
if(m1.sv!=m2.sv)error();
Vec temp;
for(int i=1;i<=m1.sv;i++)temp[i]=m1[i]-m2[i];
return temp;
};
Vec operator*(Vec &m1,int &m2){ //乘号运算符
Vec temp;
for(int i=1;i<=m1.sv;i++)
temp[i]=m1[i]*m2;
return temp;
};
Vec operator*(int &m2,Vec &m1){
Vec temp;
for(int i=1;i<m1.sv;i++)
temp[i]=m1[i]*m2;
return temp;
};
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class Matrix:public vm //继承
{
private:
double **m;
public:
int si,sj;
~Matrix(){
delete[]m;
}
Matrix(int sii=2,int sjj=2);
Matrix MatrixI(int tt)
{
Matrix temp(tt,tt);
for(int i=0;i<tt;i++)
temp[i][i]=1;
return temp;
}
Matrix(Vec &v)
{
*m=new double[v.sv];
for(int i=1;i<=v.sv;i++)
m[0][i-1]=v[i];
}
void set(double *mm)
{
for(int i=0;i<si;i++)
for(int j=0;j<sj;j++)
m[i][j]=mm[i*j+j];
}
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Vec Matrix::operator[](int i){
if((i<1)&&(i>si))error();
Vec temp;
for(int j=0;j<si;j++)
temp[j+1]=m[i][j];
return temp;
}
Matrix operator=(const Matrix &m1) //赋值运算符
{
Matrix m2(m1.si,m1.sj);
for(int i=1;i<=m1.si;i++)
m2[i]=m1[i];
return m2;
};
Matrix operator-() //负号运算符
{
for(int i=0;i<si;i++)
for(int j=0;j<sj;j++)
m[i][j]=(-m[i][j]);
};
};
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Matrix::Matrix(int si,int sj)
{
for(int j=0;j<sj;j++)
for(int i=0;i<si;i++)
m[i][j]=0;
}
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int operator!=(Matrix &m1,Matrix &m2)
{
if ((m1.si!=m2.si)||(m1.sj!=m1.sj))
{return 0;}
else
for(int i=1;i<=m1.si;i++)
if(m1[i]!=m2[i]){
return 0;}
else
return 1;
}
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Matrix operator+(Matrix &m1,Matrix &m2) //加号运算符
{
if((m1.si!=m2.si)||(m1.sj!=m2.sj))error();
Matrix temp;
for(int i=1;i<=m1.si;i++)
temp[i]=m1[i]+m2[i];
return temp;
}
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Matrix operator-(Matrix &m1,Matrix &m2) //减号运算符
{
if((m1.si!=m2.si)||(m1.sj!=m2.sj))error();
Matrix temp;
for(int i=1;i<=m1.si;i++)
temp[i]=m1[i]-m2[i];
return temp;
}
Matrix operator *(Matrix& m1,Matrix& m2); //乘号运算符
{
if(m1.sj!=m2.si)error();
Matrix temp(m1.si,m2.sj);
for(int j=1;j<=m2.sj;j++)
for(int i=1;i<=m1.si;i++)
for(int k=1;k<=m1.j;k++)
(temp[i])[j]=(temp[i])[j]+(m1[i])[k]*(m2[k])[j];
return temp;
}
Matrix operator * (Matrix& m1,int m2);
{
Matrix temp(m1.si,m1.sj);
for(int i=1;i<=m1.si;i++)
for(int j=1;j<=m1.sj;j++)
(temp[i])[j]=(m1[i])[j]*m2;
return temp;
}
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Matrix operator ^ (Matrix &m1,int m2);//幂运算符号
Matrix operator / (Matrix &m1,int &n);//除号运算符
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void main()
{
Vec v1,v2;
Matrix m1,m2;
v1.set();
v1.print();
double t[4]={1.234,2.322,1.7665,5.231};
v2.set(t);
v2.print();
v1=v2*3;
v1.print();
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}
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