This commit is contained in:
krahets
2023-07-12 03:53:19 +08:00
parent eeb5a4fe0b
commit 14a64ebdb2
5 changed files with 338 additions and 23 deletions

View File

@@ -573,7 +573,181 @@ comments: true
=== "C"
```c title="graph_adjacency_matrix.c"
[class]{graphAdjMat}-[func]{}
/* 基于邻接矩阵实现的无向图类结构 */
struct graphAdjMat {
int *vertices;
unsigned int **adjMat;
unsigned int size;
unsigned int capacity;
};
typedef struct graphAdjMat graphAdjMat;
/* 添加边 */
void addEdge(graphAdjMat *t, int i, int j) {
// 越界检查
if (i < 0 || j < 0 || i >= t->size || j >= t->size || i == j) {
printf("Out of range in %s:%d\n", __FILE__, __LINE__);
exit(1);
}
t->adjMat[i][j] = 1;
t->adjMat[j][i] = 1;
}
/* 删除边 */
void removeEdge(graphAdjMat *t, int i, int j) {
// 越界检查
if (i < 0 || j < 0 || i >= t->size || j >= t->size || i == j) {
printf("Out of range in %s:%d\n", __FILE__, __LINE__);
exit(1);
}
t->adjMat[i][j] = 0;
t->adjMat[j][i] = 0;
}
/* 添加顶点 */
void addVertex(graphAdjMat *t, int val) {
// 如果实际使用不大于预设空间,则直接初始化新空间
if (t->size < t->capacity) {
t->vertices[t->size] = val;
// 邻接矩新列阵置0
for (int i = 0; i < t->size; i++) {
t->adjMat[i][t->size] = 0;
}
memset(t->adjMat[t->size], 0, sizeof(unsigned int) * (t->size + 1));
t->size++;
return;
}
// 扩容,申请新的顶点数组
int *temp = (int *)malloc(sizeof(int) * (t->size * 2));
memcpy(temp, t->vertices, sizeof(int) * t->size);
temp[t->size] = val;
// 释放原数组
free(t->vertices);
t->vertices = temp;
// 扩容,申请新的二维数组
unsigned int **tempMat = (unsigned int **)malloc(sizeof(unsigned int *) * t->size * 2);
unsigned int *tempMatLine = (unsigned int *)malloc(sizeof(unsigned int) * (t->size * 2) * (t->size * 2));
memset(tempMatLine, 0, sizeof(unsigned int) * (t->size * 2) * (t->size * 2));
for (int k = 0; k < t->size * 2; k++) {
tempMat[k] = tempMatLine + k * (t->size * 2);
}
// 原数据复制到新数组
for (int i = 0; i < t->size; i++) {
memcpy(tempMat[i], t->adjMat[i], sizeof(unsigned int) * t->size);
}
// 新列置0
for (int i = 0; i < t->size; i++) {
tempMat[i][t->size] = 0;
}
memset(tempMat[t->size], 0, sizeof(unsigned int) * (t->size + 1));
// 释放原数组
free(t->adjMat[0]);
free(t->adjMat);
// 扩容后,指向新地址
t->adjMat = tempMat;
t->capacity = t->size * 2;
t->size++;
}
/* 删除顶点 */
void removeVertex(graphAdjMat *t, unsigned int index) {
// 越界检查
if (index < 0 || index >= t->size) {
printf("Out of range in %s:%d\n", __FILE__, __LINE__);
exit(1);
}
// 清除删除的顶点,并将其后所有顶点前移
for (int i = index; i < t->size - 1; i++) {
t->vertices[i] = t->vertices[i + 1];
}
// 将被前移的最后一个顶点置0
t->vertices[t->size - 1] = 0;
// 清除邻接矩阵中删除的列
for (int i = 0; i < t->size - 1; i++) {
if (i < index) {
// 被删除列后的所有列前移
for (int j = index; j < t->size - 1; j++) {
t->adjMat[i][j] = t->adjMat[i][j + 1];
}
} else {
// 被删除行的下方所有行上移
memcpy(t->adjMat[i], t->adjMat[i + 1], sizeof(unsigned int) * t->size);
// 被删除列后的所有列前移
for (int j = index; j < t->size; j++) {
t->adjMat[i][j] = t->adjMat[i][j + 1];
}
}
}
t->size--;
}
/* 打印顶点与邻接矩阵 */
void printGraph(graphAdjMat *t) {
if (t->size == 0) {
printf("graph is empty\n");
return;
}
printf("顶点列表 = [");
for (int i = 0; i < t->size; i++) {
if (i != t->size - 1) {
printf("%d, ", t->vertices[i]);
} else {
printf("%d", t->vertices[i]);
}
}
printf("]\n");
printf("邻接矩阵 =\n[\n");
for (int i = 0; i < t->size; i++) {
printf(" [");
for (int j = 0; j < t->size; j++) {
if (j != t->size - 1) {
printf("%u, ", t->adjMat[i][j]);
} else {
printf("%u", t->adjMat[i][j]);
}
}
printf("],\n");
}
printf("]\n");
}
/* 构造函数 */
graphAdjMat *newGraphic(unsigned int numberVertices, int *vertices, unsigned int **adjMat) {
// 函数指针
graphAdjMat *newGraph = (graphAdjMat *)malloc(sizeof(graphAdjMat));
// 申请内存
newGraph->vertices = (int *)malloc(sizeof(int) * numberVertices * 2);
newGraph->adjMat = (unsigned int **)malloc(sizeof(unsigned int *) * numberVertices * 2);
unsigned int *temp = (unsigned int *)malloc(sizeof(unsigned int) * numberVertices * 2 * numberVertices * 2);
newGraph->size = numberVertices;
newGraph->capacity = numberVertices * 2;
// 配置二维数组
for (int i = 0; i < numberVertices * 2; i++) {
newGraph->adjMat[i] = temp + i * numberVertices * 2;
}
// 赋值
memcpy(newGraph->vertices, vertices, sizeof(int) * numberVertices);
for (int i = 0; i < numberVertices; i++) {
memcpy(newGraph->adjMat[i], adjMat[i], sizeof(unsigned int) * numberVertices);
}
return newGraph;
}
```
=== "C#"
@@ -1376,7 +1550,135 @@ comments: true
=== "C"
```c title="graph_adjacency_list.c"
[class]{graphAdjList}-[func]{}
/* 基于邻接链表实现的无向图类结构 */
struct graphAdjList {
// 顶点列表
Vertex **verticesList;
// 顶点数量
unsigned int size;
// 当前容量
unsigned int capacity;
};
typedef struct graphAdjList graphAdjList;
/* 添加边 */
void addEdge(graphAdjList *t, int i, int j) {
// 越界检查
if (i < 0 || j < 0 || i == j || i >= t->size || j >= t->size) {
printf("Out of range in %s:%d\n", __FILE__, __LINE__);
return;
}
// 查找待连接的节点
Vertex *v1 = t->verticesList[i];
Vertex *v2 = t->verticesList[j];
// 连接节点
pushBack(v1->linked, v2);
pushBack(v2->linked, v1);
}
/* 删除边 */
void removeEdge(graphAdjList *t, int i, int j) {
// 越界检查
if (i < 0 || j < 0 || i == j || i >= t->size || j >= t->size) {
printf("Out of range in %s:%d\n", __FILE__, __LINE__);
return;
}
// 查找待删除边的相关节点
Vertex *v1 = t->verticesList[i];
Vertex *v2 = t->verticesList[j];
// 移除待删除边
removeLink(v1->linked, v2);
removeLink(v2->linked, v1);
}
/* 添加顶点 */
void addVertex(graphAdjList *t, int val) {
// 若大小超过容量,则扩容
if (t->size >= t->capacity) {
Vertex **tempList = (Vertex **)malloc(sizeof(Vertex *) * 2 * t->capacity);
memcpy(tempList, t->verticesList, sizeof(Vertex *) * t->size);
free(t->verticesList);
// 指向新顶点表
t->verticesList = tempList;
t->capacity = t->capacity * 2;
}
// 申请新顶点内存并将新顶点地址存入顶点列表
Vertex *newV = newVertex(val);
newV->pos = t->size;
newV->linked = newLinklist(newV);
t->verticesList[t->size] = newV;
t->size++;
}
/* 删除顶点 */
void removeVertex(graphAdjList *t, unsigned int index) {
// 越界检查
if (index < 0 || index >= t->size) {
printf("Out of range in %s:%d\n", __FILE__, __LINE__);
exit(1);
}
// 查找待删节点
Vertex *v = t->verticesList[index];
// 若不存在该节点,则返回
if (v == 0) {
printf("index is:%d\n", index);
printf("Out of range in %s:%d\n", __FILE__, __LINE__);
return;
}
// 遍历待删除节点链表,将所有与待删除结点有关的边删除
Node *temp = v->linked->head->next;
while (temp != 0) {
removeLink(temp->val->linked, v);
temp = temp->next;
}
// 定点列表前移
for (int i = index; i < t->size - 1; i++) {
t->verticesList[i] = t->verticesList[i + 1];
}
t->verticesList[t->size - 1] = 0;
t->size--;
//释放被删除顶点的内存
freeVertex(v);
}
/* 打印顶点与邻接矩阵 */
void printGraph(graphAdjList *t) {
printf("邻接表 =\n");
for (int i = 0; i < t->size; i++) {
Node *n = t->verticesList[i]->linked->head->next;
printf("%d: [", t->verticesList[i]->val);
while (n != 0) {
if (n->next != 0) {
printf("%d, ", n->val->val);
} else {
printf("%d", n->val->val);
}
n = n->next;
}
printf("]\n");
}
}
/* 构造函数 */
graphAdjList *newGraphic(unsigned int verticesNumber) {
// 申请内存
graphAdjList *newGraph = (graphAdjList *)malloc(sizeof(graphAdjList));
// 建立顶点表并分配内存
newGraph->verticesList = (Vertex **)malloc(sizeof(Vertex *) * verticesNumber);
memset(newGraph->verticesList, 0, sizeof(Vertex *) * verticesNumber);
// 初始化大小和容量
newGraph->size = 0;
newGraph->capacity = verticesNumber;
return newGraph;
}
```
=== "C#"