这是我的代码。如您所见，我将数组s1，s2，..等用于结果。但是，当我递归地更改s1，s2等时，它在递归的所有步骤上都会更改。因此，第一个s1 =最后一个s1。如何解决？因此，在递归的每个步骤中，s1，s2等的值都应不同。 我知道问题是我按值将数组传递给函数，但是idk如何解决它。谢谢（对不起我的Eng：p）
#include "pch.h"
#include<iostream>
#include<cstdio>
#include<conio.h>
#include<cstdlib>
#include<cmath>
#include<ctime>
#include<clocale>
#include <iomanip>
using namespace std;
void vivod(int **matrix, int n);
int** Matrix_Add(int **a, int **b, int **c, int n, int x1, int y1, int x2, int y2);
int** Matrix_Sub(int **a, int **b, int **c, int n, int x1, int y1, int x2, int y2);
int** Matrix_Multiply(int **a, int **b, int **c, int x1, int y1, int x2, int y2, int n);
int** strassen(int **a, int **b, int **c, int **s1, int **s2, int **s3, int **s4, int **s5, int **s6, int **s7, int **s8, int **m1, int **m2, int **m3, int **m4, int **m5, int **m6, int **m7, int **t1, int **t2, int** c11, int** c12, int** c21, int** c22, int m, int n, int x1, int y1, int x2, int y2);
int** Naive_Multiply(int **a, int **b, int **c, int n);
int main()
{
setlocale(LC_ALL, "Russian");
int n;
cout << "Enter the N:";
cin >> n;
int **A = new int*[n];
int **B = new int*[n];
int **C = new int*[n];
int **k = new int*[n];
int **s1 = new int*[n];
int **s2 = new int*[n];
int **s3 = new int*[n];
int **s4 = new int*[n];
int **s5 = new int*[n];
int **s6 = new int*[n];
int **s7 = new int*[n];
int **s8 = new int*[n];
int **m1 = new int*[n];
int **m2 = new int*[n];
int **m3 = new int*[n];
int **m4 = new int*[n];
int **m5 = new int*[n];
int **m6 = new int*[n];
int **m7 = new int*[n];
int **t1 = new int*[n];
int **t2 = new int*[n];
int **c11 = new int*[n];
int **c12 = new int*[n];
int **c21 = new int*[n];
int **c22 = new int*[n];
int **buff = new int*[n];
for (int i = 0; i < n; i++)
{
buff[i] = new int[n];
A[i] = new int[n];
B[i] = new int[n];
C[i] = new int[n];
k[i] = new int[n];
s1[i] = new int[n];
s2[i] = new int[n];
s3[i] = new int[n];
s4[i] = new int[n];
s5[i] = new int[n];
s6[i] = new int[n];
s7[i] = new int[n];
s8[i] = new int[n];
m1[i] = new int[n];
m2[i] = new int[n];
m3[i] = new int[n];
m4[i] = new int[n];
m5[i] = new int[n];
m6[i] = new int[n];
m7[i] = new int[n];
t1[i] = new int[n];
t2[i] = new int[n];
c11[i] = new int[n];
c12[i] = new int[n];
c21[i] = new int[n];
c22[i] = new int[n];
}
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++) {
A[i][j] = rand() % 10;
B[i][j] = rand() % 10;
}
cout << "First Matrix:" << endl;
vivod(A, n);
cout << "Second Matrix:" << endl;
vivod(B, n);
int begin = clock();
//for (int i =0; i < 100; i++)
k = Naive_Multiply(A, B, k, n);
int end = clock();
cout << "Naive Multiply tacts: " << end - begin << endl;
vivod(k, n);
int begin2 = clock();
//for (int i = 0; i < 100; i++)
C = strassen(A, B, C, s1, s2, s3, s4, s5, s6, s7, s8, m1, m2, m3, m4, m5, m6, m7, t1, t2, c11, c12, c21, c22, n, n, 0, 0, 0, 0);
int end2 = clock();
cout << "Shtrassen tacts: " << end2 - begin2 << endl;
vivod(C, n);
for (int i = 0; i < n; i++)
{
delete[] A[i];
delete[] B[i];
delete[] C[i];
delete[] k[i];
delete[] s1[i];
delete[] s2[i];
delete[] s3[i];
delete[] s4[i];
delete[] s5[i];
delete[] s6[i];
delete[] s7[i];
delete[] s8[i];
delete[] m1[i];
delete[] m2[i];
delete[] m3[i];
delete[] m4[i];
delete[] m5[i];
delete[] m6[i];
delete[] m7[i];
delete[] t1[i];
delete[] t2[i];
delete[] c11[i];
delete[] c12[i];
delete[] c21[i];
delete[] c22[i];
}
system("pause");
return 0;
}
int** strassen(int **a, int **b, int **c, int **s1, int **s2, int **s3, int **s4, int **s5, int **s6, int **s7, int **s8, int **m1, int **m2, int **m3, int **m4, int **m5, int **m6, int **m7, int **t1, int **t2, int** c11, int** c12, int** c21, int** c22, int m, int n, int x1, int y1, int x2, int y2) {
m = n / 2;
if (m != 1)
{
s1 = Matrix_Add(a, a, s1, m, x1 + m, y1, x1 + m, y1 + m);
s2 = Matrix_Sub(s1, a, c, m, 0, 0, x1, y1);
s3 = Matrix_Sub(a, a, s3, m, x1, y1, x1 + m, y1);
s4 = Matrix_Sub(a, s2, s4, m, x1, y1 + m, 0, 0);
s5 = Matrix_Sub(b, b, s5, m, x2, y2 + m, x2, y2);
s6 = Matrix_Sub(b, s5, s6, m, x2 + m, y2 + m, 0, 0);
s7 = Matrix_Sub(b, b, s7, m, x2 + m, y2 + m, x2, y2 + m);
s8 = Matrix_Sub(s6, b, s8, m, 0, 0, x2 + m, y2);
m1 = strassen(s2, s6, m1, s1, s2, s3, s4, s5, s6, s7, s8, m1, m2, m3, m4, m5, m6, m7, t1, t2, c11, c12, c21, c22, m, m, 0, 0, 0, 0);
m2 = strassen(a, b, m2, s1, s2, s3, s4, s5, s6, s7, s8, m1, m2, m3, m4, m5, m6, m7, t1, t2, c11, c12, c21, c22, m, m, x1, y1, x2, y2);
m3 = strassen(a, b, m3, s1, s2, s3, s4, s5, s6, s7, s8, m1, m2, m3, m4, m5, m6, m7, t1, t2, c11, c12, c21, c22, m, m, x1, y1 + m, x2 + m, y2);
m4 = strassen(s3, s7, m4, s1, s2, s3, s4, s5, s6, s7, s8, m1, m2, m3, m4, m5, m6, m7, t1, t2, c11, c12, c21, c22, m, m, 0, 0, 0, 0);
m5 = strassen(s1, s5, m5, s1, s2, s3, s4, s5, s6, s7, s8, m1, m2, m3, m4, m5, m6, m7, t1, t2, c11, c12, c21, c22, m, m, 0, 0, 0, 0);
m6 = strassen(s4, b, m6, s1, s2, s3, s4, s5, s6, s7, s8, m1, m2, m3, m4, m5, m6, m7, t1, t2, c11, c12, c21, c22, m, m, 0, 0, x2 + m, y2 + m);
m7 = strassen(a, b, m7, s1, s2, s3, s4, s5, s6, s7, s8, m1, m2, m3, m4, m5, m6, m7, t1, t2, c11, c12, c21, c22, m, m, x1 + m, y1 + m, 0, 0);
t1 = Matrix_Add(m1, m2, t1, m, 0, 0, 0, 0);
t2 = Matrix_Add(t1, m4, t2, m, 0, 0, 0, 0);
c11 = Matrix_Add(m2, m3, c11, m, 0, 0, 0, 0);
c21 = Matrix_Sub(t2, m7, c21, m, 0, 0, 0, 0);
c12 = Matrix_Add(t1, m5, c12, m, 0, 0, 0, 0);
c12 = Matrix_Add(c12, m6, c12, m, 0, 0, 0, 0);
c22 = Matrix_Add(t2, m5, c22, m, 0, 0, 0, 0);
for (int i = 0; i < n / 2; i++)
{
for (int j = 0; j < n / 2; j++)
{
c[i + n - 2 * m][j + n - 2 * m] = c11[i][j];
c[i + n - 2 * m][j + n - m] = c12[i][j];
c[i + n - m][j + n - 2 * m] = c21[i][j];
c[i + n - m][j + n - m] = c22[i][j];
}
}
}
else
{
c = Matrix_Multiply(a, b, c, x1, y1, x2, y2, n);
}
return c;
}
void vivod(int **matrix, int n)
{
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
cout << matrix[i][j] << " ";
}
cout << endl;
}
cout << endl;
}
int** Matrix_Add(int **a, int **b, int **c, int n, int x1, int y1, int x2, int y2)
{
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
c[i][j] = a[i + x1][j + y1] + b[i + x2][j + y2];
}
}
return c;
}
int** Matrix_Sub(int **a, int **b, int **c, int n, int x1, int y1, int x2, int y2)
{
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
c[i][j] = a[i + x1][j + y1] - b[i + x2][j + y2];
}
}
return c;
}
int** Matrix_Multiply(int **a, int **b, int **c, int x1, int y1, int x2, int y2, int n)
{
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
c[i][j] = 0;
for (int t = 0; t < n; t++) {
c[i][j] = c[i][j] + a[x1 + i][y1 + t] * b[x2 + t][y2 + j];
}
}
}
return c;
}
int** Naive_Multiply(int **a, int **b, int **c, int n)
{
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
c[i][j] = 0;
for (int t = 0; t < n; t++) {
c[i][j] = c[i][j] + a[i][t] * b[t][j];
}
}
}
return c;
}