zoukankan      html  css  js  c++  java
  • redis 5.0.2 源码阅读——跳跃表skiplist

    redis中并没有专门给跳跃表两个文件。在5.0.2的版本中,结构体的声明与定义、接口的声明在server.h中,接口的定义在t_zset.c中,所有开头为zsl的函数。

    一、数据结构

    单个节点:

     1 /**
     2  * ZSETs use a specialized version of Skiplists
     3  * ZSET 使用专门版本的 Skiplist(跳跃表),跳跃表节点
     4  */
     5 typedef struct zskiplistNode {
     6     //key,唯一
     7     sds ele;
     8     //分值,可重复
     9     double score;
    10     //后退指针
    11     struct zskiplistNode *backward;
    12     //
    13     struct zskiplistLevel {
    14         //前进指针
    15         struct zskiplistNode *forward;
    16         //到本层下一节点的跨度,用于计算rank
    17         unsigned long span;
    18     } level[];
    19 } zskiplistNode;

    zskiplistNode定义了跳跃表中每个节点的数据结构,它是一个变长结构体。

     1 /*
     2 +------------------------+
     3 |sds ele                 |     /+-----------------------------+
     4 +------------------------+    / |struct zskiplistNode *forward|
     5 |double score            |   /  +-----------------------------+
     6 +------------------------+  /   |unsigned long span           |
     7 |zskiplistNode * backward| /    +-----------------------------+
     8 +------------------------+/     .                             .
     9 |zskiplistLevel  level[] |      .                             .
    10 +------------------------+     .                             .
    11                                +-----------------------------+
    12                                |struct zskiplistNode *forward|
    13                                +-----------------------------+
    14                                |unsigned long span           |
    15                                +-----------------------------+
    16 */

    下面将用以下结构表示

     1 /*
     2 +--------+
     3 |level[1]|
     4 |1(span) |
     5 +--------+
     6 |level[0]|
     7 |1(span) |
     8 +--------+
     9 |backward|
    10 +--------+
    11 |score   |
    12 +--------+
    13 |ele     |
    14 +--------+
    15 */

    例如

     1 /*
     2 +--------+                +--------+                +--------+
     3 |level[1]|--------------->|level[1]|--------------->|level[1]|
     4 |2       |                |2       |                |0       |
     5 +--------+   +--------+   +--------+   +--------+   +--------+
     6 |level[0]|-->|level[0]|-->|level[0]|-->|level[0]|-->|level[0]|
     7 |1       |   |1       |   |1       |   |1       |   |0       |
     8 +--------+   +--------+   +--------+   +--------+   +--------+
     9 |backward|<--|backward|<--|backward|<--|backward|<--|backward|
    10 +--------+   +--------+   +--------+   +--------+   +--------+
    11 |1       |   |2       |   |3       |   |4       |   |5       |
    12 +--------+   +--------+   +--------+   +--------+   +--------+
    13 |a       |   |b       |   |c       |   |d       |   |e       |
    14 +--------+   +--------+   +--------+   +--------+   +--------+
    15 */

    跳跃表定义

     1 /**
     2  * 跳跃表
     3  */
     4 typedef struct zskiplist {
     5     //头/尾节点
     6     struct zskiplistNode *header, *tail;
     7     //总长度
     8     unsigned long length;
     9     //总层数
    10     int level;
    11 } zskiplist;

    因其头节点固定为空节点,固整体结构:

     1 /*
     2     +--------+                +--------+                +--------+
     3     |level[1]|--------------->|level[1]|--------------->|level[1]|
     4     |2       |                |2       |                |0       |
     5     +--------+   +--------+   +--------+   +--------+   +--------+
     6     |level[0]|-->|level[0]|-->|level[0]|-->|level[0]|-->|level[0]|
     7     |1       |   |1       |   |1       |   |1       |   |0       |
     8     +--------+   +--------+   +--------+   +--------+   +--------+
     9     |backward|<--|backward|<--|backward|<--|backward|<--|backward|
    10     +--------+   +--------+   +--------+   +--------+   +--------+
    11     |0       |   |2       |   |3       |   |4       |   |5       |
    12     +--------+   +--------+   +--------+   +--------+   +--------+
    13     |NULL    |   |b       |   |c       |   |d       |   |e       |
    14 +-->+--------+   +--------+   +--------+   +--------+   +--------+<--+
    15 |                                                                    |
    16 |   +--------+                                                       |
    17 +---|header  |                                                       |
    18     +--------+                                                       |
    19     |tail    |-------------------------------------------------------+
    20     +--------+
    21     |length=4|
    22     +--------+
    23     |level=2 |
    24     +--------+
    25 */

    每个level层都是一条单身链表,其中level[0]中包含所有元素。

    二、创建

    根据指定的level,创建一个跳表节点:

     1 /**
     2  * Create a skiplist node with the specified number of levels.
     3  * The SDS string 'ele' is referenced by the node after the call.
     4  * 创建一个跳跃表节点
     5  */
     6 zskiplistNode *zslCreateNode(int level, double score, sds ele) {
     7     //分配内存
     8     zskiplistNode *zn =
     9         zmalloc(sizeof(*zn)+level*sizeof(struct zskiplistLevel));
    10     //设置分数
    11     zn->score = score;
    12     //key
    13     zn->ele = ele;
    14     //返回创建的结构
    15     return zn;
    16 }

    创建一个跳表

     1 /**
     2  * Create a new skiplist.
     3  * 创建一个跳跃表
     4  */
     5 zskiplist *zslCreate(void) {
     6     int j;
     7     zskiplist *zsl;
     8 
     9     //分配内存
    10     zsl = zmalloc(sizeof(*zsl));
    11     //设置初始层为1
    12     zsl->level = 1;
    13     //跳跃表长度为0
    14     zsl->length = 0;
    15     //创建并初始化头节点,跳跃表最大层级为64,头节点的key为NULL,分数为0
    16     zsl->header = zslCreateNode(ZSKIPLIST_MAXLEVEL,0,NULL);
    17 
    18     //初始化头节点中level元素,前进指针为NULL,到本层下一节点的跨度span为0,用于计算rank
    19     for (j = 0; j < ZSKIPLIST_MAXLEVEL; j++) {
    20         zsl->header->level[j].forward = NULL;
    21         zsl->header->level[j].span = 0;
    22     }
    23     zsl->header->backward = NULL;
    24     zsl->tail = NULL;
    25     //返回创建的跳跃表
    26     return zsl;
    27 }

    redis中定义的最大层数为64层。且在刚创建时,会生成一个空的头节点,这样就可以不用再考虑节点数从0至1或者从1至0时要处理的各种特殊情况。

    刚创完的跳表结构(在后面的分析中以4做为最大层数)

     1 /*
     2       +--------+
     3       |level[3]|-->NULL
     4       |0       |
     5       +--------+
     6       |level[2]|-->NULL
     7       |0       |
     8       +--------+
     9       |level[1]|-->NULL
    10       |0       |
    11       +--------+
    12       |level[0]|-->NULL
    13       |0       |
    14       +--------+
    15 NULL<-|backward|
    16       +--------+
    17       |0       |
    18       +--------+
    19       |NULL    |
    20   +-->+--------+
    21   |
    22   |   +--------+
    23   +---|header  |
    24       +--------+
    25       |tail    |-->NULL
    26       +--------+
    27       |length=0|
    28       +--------+
    29       |level=1 |
    30       +--------+
    31 */

    三、插入节点

     1 /**
     2  * Returns a random level for the new skiplist node we are going to create.
     3  * The return value of this function is between 1 and ZSKIPLIST_MAXLEVEL
     4  * (both inclusive), with a powerlaw-alike distribution where higher
     5  * levels are less likely to be returned.
     6  * 跳跃表中用来决定跨越几层的抛硬币算法,正面概率设置为0.25
     7  */
     8 int zslRandomLevel(void) {
     9     int level = 1;
    10     /**
    11      * #define ZSKIPLIST_P 0.25
    12      */
    13     while ((random()&0xFFFF) < (ZSKIPLIST_P * 0xFFFF))
    14         level += 1;
    15     return (level<ZSKIPLIST_MAXLEVEL) ? level : ZSKIPLIST_MAXLEVEL;
    16 }

    需要注意的是redis中使用的决定新插入节点层数据的方法是抛硬币法,且“硬币”只有25%的几率是正面。

    插入方法:

     1 /**
     2  * Insert a new node in the skiplist. Assumes the element does not already
     3  * exist (up to the caller to enforce that). The skiplist takes ownership
     4  * of the passed SDS string 'ele'.
     5  * 在跳跃表中插入一个新节点,假设该元素尚不存在(由调用者强制保证),跳过列表获得传递的 SDS 字符串“ele”的所有权。
     6  * ele就相当于key
     7  */
     8 zskiplistNode *zslInsert(zskiplist *zsl, double score, sds ele) {
     9     //update数组,用于存储查找路径
    10     zskiplistNode *update[ZSKIPLIST_MAXLEVEL], *x;
    11     //rank数组,用于存储每层路径节点的排名
    12     unsigned int rank[ZSKIPLIST_MAXLEVEL];
    13     int i, level;
    14 
    15     serverAssert(!isnan(score));
    16     x = zsl->header;
    17 
    18     //先查找插入位置,从最上面的一层开始查找
    19     for (i = zsl->level-1; i >= 0; i--) {
    20         /* store rank that is crossed to reach the insert position */
    21         rank[i] = i == (zsl->level-1) ? 0 : rank[i+1];
    22         /**
    23          * 当当前层级的下一个节点不为空并且(下一个节点的分数小于插入节点的分数或者
    24          * 二者分数相等但是插入的ele小于下一个节点的ele)就遍历当前层的下一个节点,否者记录查找路径,
    25          * 并从当前位置开始遍历下一层,指导遍历到第0层
    26          */
    27         while (x->level[i].forward &&
    28                 (x->level[i].forward->score < score ||
    29                     (x->level[i].forward->score == score &&
    30                     sdscmp(x->level[i].forward->ele,ele) < 0)))
    31         {
    32             rank[i] += x->level[i].span;
    33             x = x->level[i].forward;
    34         }
    35         update[i] = x;
    36     }
    37     /**
    38      * we assume the element is not already inside, since we allow duplicated
    39      * scores, reinserting the same element should never happen since the
    40      * caller of zslInsert() should test in the hash table if the element is
    41      * already inside or not.
    42      * 利用抛硬币算法的插入元素跨越的层数
    43      */
    44     level = zslRandomLevel();
    45     if (level > zsl->level) {
    46         //如果跨越的层数大于当前层,更新查找路径
    47         for (i = zsl->level; i < level; i++) {
    48             rank[i] = 0;
    49             update[i] = zsl->header;
    50             update[i]->level[i].span = zsl->length;
    51         }
    52         //更新当前跳跃表中的实际层数
    53         zsl->level = level;
    54     }
    55 
    56     //创建插入的跳跃表节点
    57     x = zslCreateNode(level,score,ele);
    58     //在跨越的每一层插入创建的节点
    59     for (i = 0; i < level; i++) {
    60         //插入当前层的链表当中
    61         x->level[i].forward = update[i]->level[i].forward;
    62         update[i]->level[i].forward = x;
    63 
    64         /**
    65          * update span covered by update[i] as x is inserted here
    66          * 更新插入位置相邻两个节点的跨度也就是span
    67          */
    68         x->level[i].span = update[i]->level[i].span - (rank[0] - rank[i]);
    69         update[i]->level[i].span = (rank[0] - rank[i]) + 1;
    70     }
    71 
    72     /**
    73      * increment span for untouched levels
    74      * 当插入元素的跨度小于zsl->level,更新level到zsl->level每一层查找路径中元素的跨度,因为当前层没有元素插入
    75      * 所以需要跨度增加了1
    76      */
    77     for (i = level; i < zsl->level; i++) {
    78         update[i]->level[i].span++;
    79     }
    80 
    81     /**
    82      * 设置节点的后退指针
    83      */
    84     x->backward = (update[0] == zsl->header) ? NULL : update[0];
    85     if (x->level[0].forward)
    86         x->level[0].forward->backward = x;
    87     else
    88         zsl->tail = x;
    89     //更新第0层链表的长度
    90     zsl->length++;
    91     return x;
    92 }

    从注释可知,redis的跳表允许同score的情况发生,但是不允许同ele,且是由调用者在外部保证。若插入顺序为e,b,c,d,则插入e时:

    step1、定义update数组与rank数组。

     1 /*
     2 update         rank
     3 +--------+     +--------+
     4 |NULL    |     |0       |
     5 +--------+     +--------+
     6 |NULL    |     |0       |
     7 +--------+     +--------+
     8 |NULL    |     |0       |
     9 +--------+     +--------+
    10 |NULL    |     |0       |
    11 +--------+     +--------+
    12 */

    实际在linux环境运行时,不会默认初始化,应该是一堆脏数据,此处是为了方便处理结构

    step2、查找位置后

     1 /*
     2 update         rank
     3 +--------+     +--------+
     4 |NULL    |     |0       |
     5 +--------+     +--------+
     6 |NULL    |     |0       |
     7 +--------+     +--------+
     8 |NULL    |     |0       |
     9 +--------+     +--------+
    10 |header  |     |0       |
    11 +--------+     +--------+
    12 */

    step3、e的level为2,比跳表的大,故要补齐update与rank数组

     1 /*
     2 update         rank
     3 +--------+     +--------+
     4 |NULL    |     |0       |
     5 +--------+     +--------+
     6 |NULL    |     |0       |
     7 +--------+     +--------+
     8 |header  |     |0       |
     9 +--------+     +--------+
    10 |header  |     |0       |
    11 +--------+     +--------+
    12 */

    step4、插入节点,与单身链表插入相同,将新节点e各层,插入到update数组中记录的各层节点之后,并使用rank数组,计算跨度

     1 /*
     2       +--------+
     3       |level[3]|-->NULL
     4       |0       |
     5       +--------+
     6       |level[2]|-->NULL
     7       |0       |
     8       +--------+   +--------+
     9       |level[1]|-->|level[1]|-->NULL
    10       |1       |   |0       |
    11       +--------+   +--------+
    12       |level[0]|-->|level[0]|-->NULL
    13       |1       |   |0       |
    14       +--------+   +--------+
    15 NULL<-|backward|   |backward|
    16       +--------+   +--------+
    17       |0       |   |5       |
    18       +--------+   +--------+
    19       |NULL    |   |e       |
    20   +-->+--------+   +--------+
    21   |
    22   |   +--------+
    23   +---|header  |
    24       +--------+
    25       |tail    |
    26       +--------+
    27       |length=0|
    28       +--------+
    29       |level=1 |
    30       +--------+
    31 */

    step5、处理新插入节点的backward指针,与跳表的tail指针

     1 /*
     2       +--------+
     3       |level[3]|-->NULL
     4       |0       |
     5       +--------+
     6       |level[2]|-->NULL
     7       |0       |
     8       +--------+   +--------+
     9       |level[1]|-->|level[1]|-->NULL
    10       |1       |   |0       |
    11       +--------+   +--------+
    12       |level[0]|-->|level[0]|-->NULL
    13       |1       |   |0       |
    14       +--------+   +--------+
    15 NULL<-|backward|   |backward|
    16       +--------+   +--------+
    17       |0       |   |5       |
    18       +--------+   +--------+
    19       |NULL    |   |e       |
    20   +-->+--------+   +--------+<--+
    21   |                             |
    22   |   +--------+                |
    23   +---|header  |                |
    24       +--------+                |
    25       |tail    |----------------+
    26       +--------+
    27       |length=1|
    28       +--------+
    29       |level=2 |
    30       +--------+
    31 
    32 */

    此时插入b:

    找到位置后的update与rank数组

     1 /*
     2 update         rank
     3 +--------+     +--------+
     4 |NULL    |     |0       |
     5 +--------+     +--------+
     6 |NULL    |     |0       |
     7 +--------+     +--------+
     8 |header  |     |0       |
     9 +--------+     +--------+
    10 |header  |     |0       |
    11 +--------+     +--------+
    12 */

    插入b节点后:

     1 /*
     2       +--------+
     3       |level[3]|-->NULL
     4       |0       |
     5       +--------+
     6       |level[2]|-->NULL
     7       |0       |
     8       +--------+                +--------+
     9       |level[1]|--------------->|level[1]|-->NULL
    10       |2       |                |0       |
    11       +--------+   +--------+   +--------+
    12       |level[0]|-->|level[0]|-->|level[0]|-->NULL
    13       |1       |   |1       |   |0       |
    14       +--------+   +--------+   +--------+
    15 NULL<-|backward|   |backward|<--|backward|
    16       +--------+   +--------+   +--------+
    17       |0       |   |2       |   |5       |
    18       +--------+   +--------+   +--------+
    19       |NULL    |   |b       |   |e       |
    20   +-->+--------+   +--------+   +--------+<--+
    21   |                                          |
    22   |   +--------+                             |
    23   +---|header  |                             |
    24       +--------+                             |
    25       |tail    |-----------------------------+
    26       +--------+
    27       |length=2|
    28       +--------+
    29       |level=2 |
    30       +--------+
    31 */

    需要注意的是,update数组idx = 1的节点并没有新的插入操作,span要自增,表示本层跨度增加了1。

    插入c时的update与rank数组:

     1 /*
     2 update         rank
     3 +--------+     +--------+
     4 |NULL    |     |0       |
     5 +--------+     +--------+
     6 |NULL    |     |0       |
     7 +--------+     +--------+
     8 |header  |     |0       |
     9 +--------+     +--------+
    10 |b       |     |1       |
    11 +--------+     +--------+
    12 */

    插入c后

     1 /*
     2       +--------+
     3       |level[3]|-->NULL
     4       |0       |
     5       +--------+
     6       |level[2]|-->NULL
     7       |0       |
     8       +--------+                +--------+   +--------+
     9       |level[1]|--------------->|level[1]|-->|level[1]|-->NULL
    10       |2       |                |1       |   |0       |
    11       +--------+   +--------+   +--------+   +--------+
    12       |level[0]|-->|level[0]|-->|level[0]|-->|level[0]|-->NULL
    13       |1       |   |1       |   |1       |   |0       |
    14       +--------+   +--------+   +--------+   +--------+
    15 NULL<-|backward|   |backward|<--|backward|<--|backward|
    16       +--------+   +--------+   +--------+   +--------+
    17       |0       |   |2       |   |3       |   |5       |
    18       +--------+   +--------+   +--------+   +--------+
    19       |NULL    |   |b       |   |c       |   |e       |
    20   +-->+--------+   +--------+   +--------+   +--------+<--+
    21   |                                                       |
    22   |   +--------+                                          |
    23   +---|header  |                                          |
    24       +--------+                                          |
    25       |tail    |------------------------------------------+
    26       +--------+
    27       |length=3|
    28       +--------+
    29       |level=2 |
    30       +--------+
    31 /*

    最后插入d

    update与rank数组

     1 /*
     2 update         rank
     3 +--------+     +--------+
     4 |NULL    |     |0       |
     5 +--------+     +--------+
     6 |NULL    |     |0       |
     7 +--------+     +--------+
     8 |c       |     |2       |
     9 +--------+     +--------+
    10 |c       |     |2       |
    11 +--------+     +--------+
    12 */

    插入d

     1 /*
     2       +--------+
     3       |level[3]|-->NULL
     4       |0       |
     5       +--------+
     6       |level[2]|-->NULL
     7       |0       |
     8       +--------+                +--------+                +--------+
     9       |level[1]|--------------->|level[1]|--------------->|level[1]|-->NULL
    10       |2       |                |2       |                |0       |
    11       +--------+   +--------+   +--------+   +--------+   +--------+
    12       |level[0]|-->|level[0]|-->|level[0]|-->|level[0]|-->|level[0]|-->NULL
    13       |1       |   |1       |   |1       |   |1       |   |0       |
    14       +--------+   +--------+   +--------+   +--------+   +--------+
    15 NULL<-|backward|   |backward|<--|backward|<--|backward|<--|backward|
    16       +--------+   +--------+   +--------+   +--------+   +--------+
    17       |0       |   |2       |   |3       |   |4       |   |5       |
    18       +--------+   +--------+   +--------+   +--------+   +--------+
    19       |NULL    |   |b       |   |c       |   |d       |   |e       |
    20   +-->+--------+   +--------+   +--------+   +--------+   +--------+<--+
    21   |                                                                    |
    22   |   +--------+                                                       |
    23   +---|header  |                                                       |
    24       +--------+                                                       |
    25       |tail    |-------------------------------------------------------+
    26       +--------+
    27       |length=4|
    28       +--------+
    29       |level=2 |
    30       +--------+
    31 /*

    如果此时要新插入节点a,score为4.5,则update与rank数组分别为

     1 /*
     2 update         rank
     3 +--------+     +--------+
     4 |NULL    |     |0       |
     5 +--------+     +--------+
     6 |NULL    |     |0       |
     7 +--------+     +--------+
     8 |c       |     |2       |
     9 +--------+     +--------+
    10 |d       |     |3       |
    11 +--------+     +--------+
    12 */

    四、删除节点

    在已经查找到位置,与已知update数组时的删除方法

     1 /**
     2  * Internal function used by zslDelete, zslDeleteByScore and zslDeleteByRank
     3  * 被zslDelete, zslDeleteByScore and zslDeleteByRank调用的内部函数,在删除本节点之后,对应路径相应得做处理。
     4  *
     5  * 在level[0]层,使用从单向链表中删除节点的操作,把删除节点移出,
     6  * 再给高于level[0]的update数组中所有成员的span自减,节点少了,跨度要跟着降低。
     7  */
     8 void zslDeleteNode(zskiplist *zsl, zskiplistNode *x, zskiplistNode **update) {
     9     int i;
    10     for (i = 0; i < zsl->level; i++) {
    11         if (update[i]->level[i].forward == x) {
    12             //更新节点的跨度
    13             update[i]->level[i].span += x->level[i].span - 1;
    14             //更新节点的前进指针
    15             update[i]->level[i].forward = x->level[i].forward;
    16         } else {
    17             update[i]->level[i].span -= 1;
    18         }
    19     }
    20     //设置后退指针
    21     if (x->level[0].forward) {
    22         x->level[0].forward->backward = x->backward;
    23     } else {
    24         zsl->tail = x->backward;
    25     }
    26     //修正跳跃表的实际层数
    27     while(zsl->level > 1 && zsl->header->level[zsl->level-1].forward == NULL)
    28         zsl->level--;
    29     //更新跳跃表的长度
    30     zsl->length--;
    31 }

    删除本节点之后,对应路径相应得做处理。

    从跳表中删除指定节点的操作

     1 /* Delete an element with matching score/element from the skiplist.
     2  * The function returns 1 if the node was found and deleted, otherwise
     3  * 0 is returned.
     4  * 删除跳跃表中匹配到的分数和元素,如果该节点被找到且删除返回1,否则返回0
     5  *
     6  * If 'node' is NULL the deleted node is freed by zslFreeNode(), otherwise
     7  * it is not freed (but just unlinked) and *node is set to the node pointer,
     8  * so that it is possible for the caller to reuse the node (including the
     9  * referenced SDS string at node->ele).
    10  * 如果node参数为NULL,删除的节点如果被找到,就需要在该函数中释放该节点所占有的内存空间,否者,将找到的该节点
    11  * 赋值给*node,从而使得调用者在使用完该节点的时候再调用相应的函数zslFreeNode将其释放
    12  */
    13 int zslDelete(zskiplist *zsl, double score, sds ele, zskiplistNode **node) {
    14     zskiplistNode *update[ZSKIPLIST_MAXLEVEL], *x;
    15     int i;
    16 
    17     //查找节点并记录路径
    18     x = zsl->header;
    19     for (i = zsl->level-1; i >= 0; i--) {
    20         while (x->level[i].forward &&
    21                 (x->level[i].forward->score < score ||
    22                     (x->level[i].forward->score == score &&
    23                      sdscmp(x->level[i].forward->ele,ele) < 0)))
    24         {
    25             x = x->level[i].forward;
    26         }
    27         update[i] = x;
    28     }
    29     /**
    30      * We may have multiple elements with the same score, what we need
    31      * is to find the element with both the right score and object.
    32      */
    33     x = x->level[0].forward;
    34     if (x && score == x->score && sdscmp(x->ele,ele) == 0) {
    35         //根据准备删除的节点和查找路径对跳跃表做相应的处理
    36         zslDeleteNode(zsl, x, update);
    37         if (!node)//如果node不为NULL,就直接释放该节点的内存
    38             zslFreeNode(x);
    39         else
    40             *node = x;//利用传出参数被调用者使用
    41         return 1;
    42     }
    43     return 0; /* not found */
    44 }

    如以下跳表

     1 /*
     2       +--------+
     3       |level[3]|-->NULL
     4       |0       |
     5       +--------+
     6       |level[2]|-->NULL
     7       |0       |
     8       +--------+                +--------+                +--------+
     9       |level[1]|--------------->|level[1]|--------------->|level[1]|-->NULL
    10       |2       |                |2       |                |0       |
    11       +--------+   +--------+   +--------+   +--------+   +--------+
    12       |level[0]|-->|level[0]|-->|level[0]|-->|level[0]|-->|level[0]|-->NULL
    13       |1       |   |1       |   |1       |   |1       |   |0       |
    14       +--------+   +--------+   +--------+   +--------+   +--------+
    15 NULL<-|backward|   |backward|<--|backward|<--|backward|<--|backward|
    16       +--------+   +--------+   +--------+   +--------+   +--------+
    17       |0       |   |2       |   |3       |   |4       |   |5       |
    18       +--------+   +--------+   +--------+   +--------+   +--------+
    19       |NULL    |   |b       |   |c       |   |d       |   |e       |
    20   +-->+--------+   +--------+   +--------+   +--------+   +--------+<--+
    21   |                                                                    |
    22   |   +--------+                                                       |
    23   +---|header  |                                                       |
    24       +--------+                                                       |
    25       |tail    |-------------------------------------------------------+
    26       +--------+
    27       |length=4|
    28       +--------+
    29       |level=2 |
    30       +--------+
    31 /*

    要删除节点d,生成的update数组为

     1 /*
     2 update
     3 +--------+
     4 |NULL    |
     5 +--------+
     6 |NULL    |
     7 +--------+
     8 |c       |
     9 +--------+
    10 |c       |
    11 +--------+
    12 */

    由于d的level为1,故在level[0]层,使用从单向链表中删除节点的操作,把d移出,再给高于level[0]的update数组中所有成员的span自减,节点少了,跨度要跟着降低。

    删除d之后的跳表

     1 /*
     2       +--------+
     3       |level[3]|-->NULL
     4       |0       |
     5       +--------+
     6       |level[2]|-->NULL
     7       |0       |
     8       +--------+                +--------+   +--------+
     9       |level[1]|--------------->|level[1]|-->|level[1]|-->NULL
    10       |2       |                |1       |   |0       |
    11       +--------+   +--------+   +--------+   +--------+
    12       |level[0]|-->|level[0]|-->|level[0]|-->|level[0]|-->NULL
    13       |1       |   |1       |   |1       |   |0       |
    14       +--------+   +--------+   +--------+   +--------+
    15 NULL<-|backward|   |backward|<--|backward|<--|backward|
    16       +--------+   +--------+   +--------+   +--------+
    17       |0       |   |2       |   |3       |   |5       |
    18       +--------+   +--------+   +--------+   +--------+
    19       |NULL    |   |b       |   |c       |   |e       |
    20   +-->+--------+   +--------+   +--------+   +--------+<--+
    21   |                                                       |
    22   |   +--------+                                          |
    23   +---|header  |                                          |
    24       +--------+                                          |
    25       |tail    |------------------------------------------+
    26       +--------+
    27       |length=3|
    28       +--------+
    29       |level=2 |
    30       +--------+
    31 /*

    五、销毁

     1 /**
     2  * Free the specified skiplist node. The referenced SDS string representation
     3  * of the element is freed too, unless node->ele is set to NULL before calling
     4  * this function.
     5  * 释放指定跳跃节点的内存,需要释放成员变量ele的内存,然后再释放node,除非ele被设置为NULL
     6  */
     7 void zslFreeNode(zskiplistNode *node) {
     8     sdsfree(node->ele);
     9     zfree(node);
    10 }
    11 
    12 /* Free a whole skiplist. 释放整个跳跃表*/
    13 void zslFree(zskiplist *zsl) {
    14     zskiplistNode *node = zsl->header->level[0].forward, *next;
    15 
    16     zfree(zsl->header);
    17     while(node) {
    18         next = node->level[0].forward;
    19         zslFreeNode(node);
    20         node = next;
    21     }
    22     zfree(zsl);
    23 }

    销毁操作本身只是在level[0]层遍历所有节点,依次销毁。

    参考文章:

      https://www.cnblogs.com/chinxi/p/12259603.html

    本文来自博客园,作者:Mr-xxx,转载请注明原文链接:https://www.cnblogs.com/MrLiuZF/p/14974764.html

  • 相关阅读:
    CCF201712-2游戏
    SpringMVC(未完待续....)
    MySQL----商品表及商品分类表例子
    Spring----属性注入的三种方式
    Spring的配置文件applicationContext.xml
    Spring----getBean的四种用法
    Spring----工厂模式
    spring第一个小例子(Spring_xjs1)
    JSON
    XStream(可把JavaBean转换成XML的小工具)
  • 原文地址:https://www.cnblogs.com/MrLiuZF/p/14974764.html
Copyright © 2011-2022 走看看