idk why these stuffs get stashed for so long and I didn't ever commit them

This commit is contained in:
2025-11-06 09:43:54 +08:00
parent 5dbdfef1a1
commit e01c041259
232 changed files with 22806 additions and 1256 deletions

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#include<iostream>//cout,cin
using namespace std;
struct MNode //三元组结点
{
int i, j; //行号,列号
int e; //非零元
};
struct TSMatrix
{
int mu, nu, tu; // 行数、列数、非零元个数
MNode* data; // 三元组表
};
TSMatrix MCreate(int d[][3], int m, int n, int k) //由三元组的二维数组生成行向量稀疏存储矩阵
{
TSMatrix M = { m,n,k,NULL };
if (k != 0)
M.data = new MNode[k];
for (int i = 0; i < k; i++)
{
M.data[i].i = d[i][0];
M.data[i].j = d[i][1];
M.data[i].e = d[i][2];
}
return M;
}//
void MDisp(TSMatrix a) //矩阵显示
{
MNode p;
int i, j, k = 0, c = 0;
p = a.data[k];
for (i = 0; i < a.mu; i++)
{
for (j = 0; j < a.nu; j++)
{
if (k < a.tu && p.i == i && p.j == j)
{
cout << '\t' << p.e;
k++;
if (k < a.tu) p = a.data[k];
}
else
{
cout << '\t' << c;
}
}//for
cout << endl;
cout << endl;
}//for
}//MatrixDisp
//算法4.1 转置算法一
void MatrixTrans_1(TSMatrix A, TSMatrix& B)
{//
int col, p, q;
B.mu = A.nu; B.nu = A.mu; B.tu = A.tu; //B的行数、列数、非零元个数分别等于A的列数、行数和非零元个数
if (B.tu) // 矩阵B有非零元
{
q = 0;
for (col = 0; col < A.nu; ++col) // 按列扫描A矩阵
for (p = 0; p < A.tu; ++p)
if (A.data[p].j == col) // col列有非零元
{
B.data[q].i = A.data[p].j; // 交换行、列号,生成转置元素
B.data[q].j = A.data[p].i;
B.data[q].e = A.data[p].e;
++q;
}
}
}
//算法4.2 快速转置
void MatrixTrans_2(TSMatrix A, TSMatrix& B)
{
int col, i, k, q;
int* num, * cpot;
B.mu = A.nu; B.nu = A.mu; B.tu = A.tu; //B的行数、列数、非零元个数分别等于A的列数、行数和非零元个数
num = new int[B.nu];
cpot = new int[B.nu];
if (B.tu) // 非零元个数不为零,实施转置
{
for (col = 0; col < A.nu; col++) //A中每一列非零元个数初始化为0
num[col] = 0;
for (i = 0; i < A.tu; i++) //求矩阵A中每一列非零元个数
num[A.data[i].j]++;
cpot[0] = 0; //A中第0列首个非零元在B中的下标
for (col = 1; col <= A.nu; ++col) // 求A中每一列首个非零元在B中的下标
cpot[col] = cpot[col - 1] + num[col - 1];
for (k = 0; k < A.tu; ++k) //扫描A的三元组表
{
col = A.data[k].j; //当前三元组列号
q = cpot[col]; //当前三元组在B中的下标
B.data[q].i = A.data[k].j;
B.data[q].j = A.data[k].i;
B.data[q].e = A.data[k].e;
cpot[col]++; // 预置同一列下一个三元组在B中的下标
}//for
}//if
}//
void main()
{
TSMatrix ma, mb1, mb2;
int m1 = 4, n1 = 6, k1 = 6; //被乘矩阵行数,列数,非零元个数
int da[6][3] = { {0,2,11},{0,4,12},{1,3,22},
{2,1,31}, {2,3,32},{3,0,41} }; //ma阵的非零元
ma = MCreate(da, m1, n1, k1); //生成三元组顺序存储的ma阵
cout << "ma=" << endl;
MDisp(ma); //显示ma阵
mb1.data = new MNode[ma.tu];
mb2.data = new MNode[ma.tu];
cout << "方法一:直接取,顺序存" << endl; //用方法一转置矩阵
MatrixTrans_1(ma, mb1);
cout << "mb=" << endl; //显示转置矩阵
MDisp(mb1);
cout << "方法二:顺序取,直接存" << endl; //用方法二转置矩阵
MatrixTrans_2(ma, mb2);
cout << "mb=" << endl; //显示转置矩阵
MDisp(mb2);
}//

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