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

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綾瀬桃桃
2025-11-06 09:43:54 +08:00
parent 5dbdfef1a1
commit e01c041259
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203
Chapter4/AddMatrix/AddMatrix.cpp Normal file
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#include<iostream>//cout,cin
#include"process.h"//exit()
#include"stdio.h"//EOF,NULL
using namespace std;
struct MTNode // 三元组
{
int i, j; // 行号，列号
int e; // 非零元
MTNode* next; // 指向同行下一个结点
};
typedef struct
{
int mu, nu, tu; // 行数、列数、非零元个数
MTNode** rops; // 存放各行链表的头指针
}LMatrix;
int cmp(int a, int b) // 列号比较
{
if (a < b) return -1;
else if (a == b) return 0;
else return 1;
}
void NodeCopy(MTNode*& s, MTNode* x) // 结点拷贝
{
s->e = x->e; s->i = x->i; s->j = x->j;
}
void AddNode(MTNode*& lp, MTNode*& lq, MTNode* s) // 表尾添加结点
{
MTNode* p;
p = new MTNode;
NodeCopy(p, s);
p->next = NULL;
if (lp == NULL) // 首元结点
{
lp = p;
lq = p;
}
else // 非首元结点
{
lq->next = p;
lq = p;
}
}//
LMatrix MatrixAdd(LMatrix ma, LMatrix mb) // 求矩阵和
{
LMatrix mc;
MTNode* pa, * pb, * pc; // 分别指向被加数、加数、和矩阵行向量首元结点
MTNode* s;//
int i, sum;
int m, n; // 行数，列数
int flag = 1;
m = ma.mu;
n = ma.nu;
mc.mu = m; mc.nu = n; mc.tu = 0; mc.rops = NULL;
if (mc.rops) delete[] mc.rops;
mc.rops = new MTNode * [m];
for (i = 0; i < m; i++)
mc.rops[i] = NULL; // C行指针向量初始化
for (i = 0; i < m; i++)
{
pa = ma.rops[i];
pb = mb.rops[i];
pc = mc.rops[i];
while (pa && pb) // 被加矩阵、加矩阵行链不空
{
flag = 1;
if (pa->j < pb->j)
{
s = new MTNode;//
NodeCopy(s, pa);
s->next = NULL;
pa = pa->next;
}
else if (pa->j == pb->j)
{
sum = pa->e + pb->e;
if (sum == 0) flag = 0;
else
{
s = new MTNode;
NodeCopy(s, pa);
s->e = sum;
s->next = NULL;
}
pa = pa->next; pb = pb->next;//pa,pb后移
}
else
{
s = new MTNode;
NodeCopy(s, pb); // 复制pb所指结点
pb = pb->next; // pb后移
s->next = NULL;
}
if (flag) // 有新结点生成
{
mc.tu++;
AddNode(mc.rops[i], pc, s);
}
}//while
if (pa) // pa不空，复制pa剩余链到和矩阵中
{
while (pa)
{
s = new MTNode;
NodeCopy(s, pa); pa = pa->next;
AddNode(mc.rops[i], pc, s);
}//while
}//if(pa)
if (pb) // pb不空，复制pb剩余链到和矩阵中
{
while (pb)
{
s = new MTNode;
NodeCopy(s, pb); pb = pb->next;
AddNode(mc.rops[i], pc, s);
}//while
}//if(pb)
}//for
return mc;
}//MAdd
void MDisp(LMatrix a)
{
MTNode* p;
int i, j, c = 0;
for (i = 0; i < a.mu; i++)
{
p = a.rops[i];
for (j = 0; j < a.nu; j++)
{
if (p == NULL)
cout << '\t' << c;
else if (j < p->j)
cout << '\t' << c;
else
{
cout << '\t' << p->e;
p = p->next;
}
}//for
cout << endl;
}//for
}//MatrixDisp
LMatrix 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
LMatrix M = { m,n,k,NULL };
int i, r1, r2;
MTNode* s, * p; // 工作指针
if (M.rops) delete[] M.rops;
M.rops = new MTNode * [m];
for (i = 0; i < m; i++)
M.rops[i] = NULL;
r1 = m;
p = M.rops[r1];//
for (i = 0; i < k; i++) // 扫描非零元数组
{
s = new MTNode;
s->i = d[i][0];
s->j = d[i][1];
s->e = d[i][2];
r2 = s->i; // 非零元所在行
if (r2 != r1) // 创建链表第1个结点
{
M.rops[r2] = s;
s->next = NULL;
p = s;
r1 = r2;
}
else // 创建链表非首元结点
{
s->next = p->next;
p->next = s;
p = s;
}
}//for
return M;
}//MCreate
void main()
{
//MTNode *p;
LMatrix ma, mb, mc;
int m = 4, n = 6; // 行数，列数
int da[5][3] = { {0,1,3},{1,1,2},{1,3,5},{3,0,9},{3,5,1} };
int db[4][3] = { {0,2,7},{1,1,6},{1,3,-5},{2,1,4} };
ma = MCreate(da, 4, 6, 5); // 构造ma矩阵
cout << "ma=" << endl;
MDisp(ma); // 显示ma矩阵
mb = MCreate(db, 4, 6, 4); // 构造mb矩阵
cout << "mb=" << endl;
MDisp(mb); // 显示mb矩阵
mc = MatrixAdd(ma, mb); // 求mc=ma+mb
cout << "mc=ma+mb=" << endl;
MDisp(mc); // 输出和矩阵
}

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Chapter4/Chapter4.sln Normal file
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Chapter4/MatrixTrans/MatrixTrans.cpp Normal file
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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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