#include <iostream>
#include <iomanip>
using namespace std;
class Matrix {
public:
void INPUT_MAT();
void OUTPUT_MAT();
void Prepare();
friend void Summation();
friend void Transpose();
friend void Quadrature();
private:
int m, n, i, j, k, r, s;
int Tuple[100][3];
};
void Matrix::INPUT_MAT() {
cout << " 请规定矩阵的行与列：" << endl;
cin >> m >> n;
s = (m * n);
cout << " 矩阵内元素个数为：" << s << endl;
cout << " 请依次输入矩阵的数值：" << endl;
for (i = 0; i < s; i++) {
cout << " 正在输入第" << i + 1 << "个数" << endl;
cin >> r;
Tuple[i][2] = r;
}
cout << " ";
for (j = 0; j < s; j++) {
cout << setw(3) << Tuple[j][2];
if ((j + 1) % n == 0) {
cout << endl;
cout << " ";
}
}
cout << endl;
system("pause");
}
void Matrix::OUTPUT_MAT(){
cout << " 所求的矩阵为：" << endl;
cout << " ";
for (j = 0; j < s; j++) {
cout << setw(3) << Tuple[j][2];
if ((j + 1) % n == 0) {
cout << endl;
cout << " ";
}
}
cout << endl;
}
void Matrix::Prepare() {
for (j = 0; j < m; j++) {
for (k = 0; k < n; k++) {
i = n * j + k;
Tuple[i][0] = (j + 1);
Tuple[i][1] = (k + 1);
}
}
}
void Transpose() {
Matrix Mat_a;
Mat_a.INPUT_MAT();
Matrix Mat_b;
Mat_b.n = Mat_a.m;
Mat_b.m = Mat_a.n;
Mat_b.s = Mat_a.s;
Mat_a.Prepare();
Mat_b.Prepare();
for (int j = 0; j < Mat_a.s; j++) {
for (int k = 0; k < Mat_a.s; k++) {
if ((Mat_a.Tuple[j][0] == Mat_b.Tuple[k][1]) && (Mat_a.Tuple[j][1] == Mat_b.Tuple[k][0])) {
Mat_b.Tuple[k][2] = Mat_a.Tuple[j][2];
break;
}
}
}
Mat_b.OUTPUT_MAT();
}
void Summation() {
sect3:
Matrix Mat_a;
Mat_a.Prepare();
Mat_a.INPUT_MAT();
Matrix Mat_b;
Mat_b.Prepare();
Mat_b.INPUT_MAT();
Matrix Mat_c;
if (Mat_a.s != Mat_b.s) {
cout << " 输入的两个矩阵不能相加" << endl;
goto sect3;
}
else
for (int i = 0; i < Mat_a.s; i++) {
Mat_c.Tuple[i][2] = Mat_a.Tuple[i][2] + Mat_b.Tuple[i][2];
}
Mat_c.s = Mat_a.s;
Mat_c.n = Mat_a.n;
Mat_c.OUTPUT_MAT();
}
void Quadrature() {
re1:
Matrix Mat_a;
Mat_a.Prepare();
Mat_a.INPUT_MAT();
Matrix Mat_b;
Mat_b.Prepare();
Mat_b.INPUT_MAT();
Matrix Mat_c;
Mat_c.s = Mat_a.m * Mat_b.n;
Mat_c.m = Mat_a.m;
Mat_c.n = Mat_b.n;
if (Mat_a.n != Mat_b.m) {
cout << " 两矩阵不可相乘，请重新输入：" << endl;
goto re1;
}
else {
for (int j = 0; j < Mat_a.m; j++) {
for (int k = 0; k < Mat_b.n; k++) {
int sum = 0;
for (int i = 0; i < Mat_a.n; i++) {
sum += Mat_a.Tuple[i + j * Mat_a.n][2] * Mat_b.Tuple[k + i * Mat_b.n][2];
}
Mat_c.Tuple[Mat_a.m * j + k][2] = sum;
}
}
}
Mat_c.OUTPUT_MAT();
}
int main() {
char o;
sect1:
cout << " 请选择所需要进行的功能：" << '\n' << " 转置A 求和B 求积C 退出Q" << endl;
cin >> o;
switch (o) {
case 'A':cout << " 下面进行转置操作,请输入一个矩阵" << endl; Transpose();
break;
case 'B':cout << " 下面进行求和操作，请依次输入两个矩阵" << endl; Summation();
break;
case 'C':cout << " 下面进行求积操作，请依次输入两个矩阵" << endl; Quadrature();
break;
case 'Q':cout << " 系统已退出" << endl; goto sect2;
}
goto sect1;
sect2:
return 0;
}
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