鏈表中的各對象按線性順序排列,而其順序是由各個對象裡的指標所決定的。
鏈表有多種形式,它可以是單連結的或者雙連結的,可以是已排序的或未排序的,可以是迴圈的或非迴圈的。
定義的結構體以及函數如下:
typedef struct SINGLE_LINKED_LIST{ Node * head; Node * tail;} SLL;typedef struct CIRCULAR_SINGLE_LINKED_LIST{ Node * head; Node * tail;} CSLL;typedef struct DOUBLE_LINKED_LIST{ Node * head; Node * tail;} DLL;typedef struct CIRCULAR_DOUBLE_LINKED_LIST_WITH_SENTINEL{ Node * nil;} CDLLS;void linked_list_traverse(Node * L);void linked_list_free(Node* L);Node* single_linked_list_insert(SLL * L, item_t item);Node* single_linked_list_search(SLL * L, item_t item);int single_linked_list_delete(SLL * L, Node * node);Node* circular_single_linked_list_insert(CSLL * L, item_t item);Node* circular_single_linked_list_search(CSLL * L, item_t item);int circular_single_linked_list_delete(CSLL * L, Node * node);Node* double_linked_list_insert(DLL * L, item_t item);Node* double_linked_list_search(DLL * L, item_t item);int double_linked_list_delete(DLL * L, Node * node);CDLLS* circular_double_linked_list_with_sentinel_init();Node* circular_double_linked_list_with_sentinel_insert(CDLLS * L, item_t item);Node* circular_double_linked_list_with_sentinel_search(CDLLS * L, item_t item);int circular_double_linked_list_with_sentinel_delete(CDLLS * L, Node * node);
幾個公用函數如下:
//functions for all kind of linked listvoid linked_list_traverse(Node* L) { if (L == NULL) { printf("Empty Linked List.\n"); } Node * pos = L; while (pos != NULL) { printf("%2d is in location:%9p. prev is %9p. next is %9p.\n", pos->item.key, \ pos, pos->prev, pos->next); pos = pos->next; if (pos == L) return; }}void linked_list_free(Node* L) { Node * pos = L; Node * f = L; while (pos != NULL && pos != L) { f = pos; pos = pos->next; free(f); }}//-----------------------------------------------------------------------
單連結的未排序非迴圈鏈表可以如如下實現:
//functions for single linked listNode* single_linked_list_insert(SLL * L, item_t item) { Node * node = (Node*)malloc(sizeof(Node)); node->item = item; node->prev = NULL; node->next = L->head; if (L->tail == NULL) L->tail = node; L->head = node; return node;}Node* single_linked_list_search(SLL * L, item_t item) { if (L->head == NULL) { fprintf(stderr, "The single linked list is empty.\n"); return NULL; } Node * pos = L->head; while (pos != NULL) { if (item.key == pos->item.key) return pos; pos = pos->next; } fprintf(stderr, "The item cannot be found.\n"); return NULL;}int single_linked_list_delete(SLL * L, Node * node) { if (L->head == NULL) { fprintf(stderr, "The single linked list is empty.\n"); return 0; } if (node == NULL) { fprintf(stderr, "The node is NULL.\n"); return 0; } if (L->head == node) { L->head = node->next; if (L->head == NULL) L->tail = NULL; return 1; } Node * pos = L->head; while (pos != NULL && pos->next != node) { pos = pos->next; } if (pos->next = node) { if (node == L->tail) L->tail = pos; pos->next = pos->next->next; return 1; } fprintf(stderr, "No such node in linked list.\n"); return 0;}int single_linked_list_reverse(SLL * L) { if (L->head == NULL) { fprintf(stderr, "The single linked list is empty.\n"); return 0; } L->tail = L->head; Node *pre, *current, *next; pre = L->head; current = L->head->next; L->head->next = NULL; next = NULL; while (current != NULL) { next = current->next; current->next = pre; pre = current; current = next; } L->head = pre; return 1;}//------------------------------------------------------------------------
各個函數的功能均可見其函數名與傳回值。使用SLL時動態分配記憶體即可,如:
void test_for_single_linked_list() { SLL * L = (SLL*)malloc(sizeof(SLL)); printf("%p\n", L->head); item_t item = {10, NULL}; Node * node; for (int i = 0; i < 10; i++) { item.key = i + 10; single_linked_list_insert(L, item); } printf("SLL head is in location:%p\n", L->head); linked_list_traverse(L->head); single_linked_list_reverse(L); linked_list_traverse(L->head); for (int i = -1; i <= 10; i++) { item.key = i + 10; node = single_linked_list_search(L, item); if (node != NULL) printf("Node %d in location %p delete :%d\n", node->item.key, node, \ single_linked_list_delete(L, node)); //printf("SLL tail is in location:%p\n", L->tail); } printf("---------------------------------------------\n"); for (int i = 0; i < 10; i++) { item.key = i + 10; single_linked_list_insert(L, item); } printf("SLL head is in location:%p\n", L->head); linked_list_traverse(L->head); for (int i = 11; i >= -1; i--) { item.key = i + 10; node = single_linked_list_search(L, item); if (node != NULL) printf("Node %d in location %p delete :%d\n", node->item.key, node, \ single_linked_list_delete(L, node)); //printf("SLL tail is in location:%p\n", L->tail); } linked_list_free(L->head); free(L);}
雙連結的未排序非迴圈鏈表可如如下實現:
//functions for double linked listNode* double_linked_list_insert(DLL * L, item_t item) { Node * node = (Node*)malloc(sizeof(Node)); node->prev = NULL; node->item = item; node->next = L->head; if (L->head != NULL) L->head->prev = node; else L->tail = node; L->head = node; return node;}Node* double_linked_list_search(DLL * L, item_t item) { if (L->head == NULL) { fprintf(stderr, "The double linked list is empty.\n"); return NULL; } Node * pos = L->head; while (pos != NULL) { if (pos->item.key == item.key) return pos; pos = pos->next; } fprintf(stderr, "The item cannot be found.\n"); return NULL;}int double_linked_list_delete(DLL * L, Node * node) { if (L->head == NULL) { fprintf(stderr, "The double linked list is empty.\n"); return 0; } if (node == NULL) { fprintf(stderr, "The node is NULL.\n"); return 0; } if (node == L->tail) L->tail = node->prev; if (node->prev != NULL) { node->prev->next = node->next; } else { L->head = node->next; } if (node->next != NULL) { node->next->prev = node->prev; } return 1;}//----------------------------------------------------------------------------
注意要點與單連結的未排序非迴圈鏈表相同。測試可如下:
void test_for_double_linked_list() { DLL * L = (DLL*)malloc(sizeof(DLL)); printf("%p\n", L->head); item_t item = {10, NULL}; Node * node; for (int i = 0; i < 10; i++) { item.key = i + 10; double_linked_list_insert(L, item); } printf("DLL head is in location:%p\n", L->head); linked_list_traverse(L->head); for (int i = -1; i <= 10; i++) { item.key = i + 10; node = double_linked_list_search(L, item); if (node != NULL) printf("Node %d in location %p delete :%d\n", node->item.key, node, \ double_linked_list_delete(L, node)); //printf("DLL tail is in location:%p\n", L->tail); } printf("---------------------------------------------\n"); for (int i = 0; i < 10; i++) { item.key = i + 10; double_linked_list_insert(L, item); } printf("DLL head is in location:%p\n", L->head); linked_list_traverse(L->head); for (int i = 11; i >= -1; i--) { item.key = i + 10; node = double_linked_list_search(L, item); if (node != NULL) printf("Node %d in location %p delete :%d\n", node->item.key, node, \ double_linked_list_delete(L, node)); //printf("DLL tail is in location:%p\n", L->tail); } linked_list_free(L->head); free(L);}
單連結未排序的迴圈鏈表可如如下實現:
//functinos for circular single linked listNode* circular_single_linked_list_insert(CSLL * L, item_t item) { Node * node = (Node*)malloc(sizeof(Node)); node->item = item; node->prev = NULL; if (L->head == NULL) { L->head = node; L->tail = node; node->next = node; } else { node->next = L->head; L->head = node; L->tail->next = node; } return node;}Node* circular_single_linked_list_search(CSLL * L, item_t item) { if (L->head == NULL) { fprintf(stderr, "The circular single linked list is empty.\n"); return NULL; } Node * pos = L->head; if (pos->item.key == item.key) return pos; else pos = pos->next; while (pos->item.key != item.key && pos != L->head) { pos = pos->next; } if (pos != L->head) return pos; fprintf(stderr, "The item cannot be found.\n"); return NULL;}int circular_single_linked_list_delete(CSLL * L, Node * node) { if (L->head == NULL) { fprintf(stderr, "The circular single linked list is empty.\n"); return 0; } if (node == NULL) { fprintf(stderr, "The node is NULL.\n"); return 0; } if (node == L->head && node == L->tail) { L->head = NULL; L->tail = NULL; return 1; } else if (node == L->head) { L->head = node->next; L->tail->next = L->head; return 1; } Node * pos = L->head; while (pos->next != node && pos != L->tail) { pos = pos->next; } if (pos->next == node) { if (node == L->tail) { L->tail = pos; } pos->next = node->next; return 1; } fprintf(stderr, "No such node in linked list.\n"); return 0;}//------------------------------------------------------------------------
測試可如下:
void test_for_circular_single_linked_list() { CSLL * L = (CSLL*)malloc(sizeof(CSLL)); printf("%p\n", L->head); item_t item = {10, NULL}; Node * node; for (int i = 0; i < 10; i++) { item.key = i + 10; circular_single_linked_list_insert(L, item); } printf("CSLL head is in location:%p\n", L->head); linked_list_traverse(L->head); for (int i = -1; i <= 10; i++) { item.key = i + 10; node = circular_single_linked_list_search(L, item); if (node != NULL) printf("Node %d in location %p delete :%d\n", node->item.key, node, \ circular_single_linked_list_delete(L, node)); //linked_list_traverse(L->head); } printf("---------------------------------------------\n"); for (int i = 0; i < 10; i++) { item.key = i + 10; circular_single_linked_list_insert(L, item); } printf("CSLL head is in location:%p\n", L->head); linked_list_traverse(L->head); for (int i = 11; i >= -1; i--) { item.key = i + 10; node = circular_single_linked_list_search(L, item); if (node != NULL) printf("Node %d in location %p delete :%d\n", node->item.key, node, \ circular_single_linked_list_delete(L, node)); } linked_list_free(L->head); free(L);}
有哨兵的雙連結未排序迴圈鏈表可如如下實現:
//functions for cicular double linked list with sentinelCDLLS* circular_double_linked_list_with_sentinel_init() { CDLLS * L = (CDLLS*)malloc(sizeof(CDLLS)); L->nil = (Node*)malloc(sizeof(Node)); L->nil->