一、B+树是什么
B+ 树是一种树型数据结构,通常用于数据库和操作系统的文件系统中。B+ 树的特点是能够保持数据稳定有序,其插入与修改操作拥有较稳定的对数时间复杂度。B+ 树元素自底向上插入,这与二叉树恰好相反。
B+ 树的创造者Rudolf Bayer没有解释B代表什么。最常见的观点是B代表平衡(balanced),因为所有的叶子节点在树中都在相同的级别上。B也可能代表Bayer,或者是波音(Boeing),因为他曾经工作于波音科学研究实验室
1)B+树的节点
在 B+ 树中的节点通常被表示为一组有序的元素和子指针。如果此B+树的序数(order)是m ,则除了根之外的每个节点都包含最少 [m/2] 个元素最多 [m-1] 个元素,对于任意的节点有最多 m 个子指针。对于所有内部节点,子指针的数目总是比元素的数目多一个.
2)B+树相应的操作
1.查找
2.插入
3.删除
3)B+树的特点
1.每个节点中子节点的个数不能超过 m,也不能小于 m/2;
2.根节点的子节点个数可以不超过 m/2,这是一个例外;
3.m 叉树只存储索引,并不真正存储数据,这个有点儿类似跳表;
4.通过链表将叶子节点串联在一起,这样可以方便按区间查找;
5.一般情况,根节点会被存储在内存中,其他节点存储在磁盘中
4)在这里说下B 树、B- 树
B- 树就是 B 树,英文翻译都是 B-Tree,这里的“-”并不是相对 B+ 树中的“+”,而只是一个连接符。
而 B 树实际上是低级版的 B+ 树,或者说 B+ 树是 B 树的改进版。B 树跟 B+ 树的不同点主要集中在这几个地方:
B+ 树中的节点不存储数据,只是索引,而 B 树中的节点存储数据;
B 树中的叶子节点并不需要链表来串联。
也就是说,B 树只是一个每个节点的子节点个数不能小于 m/2 的 m 叉树
B-Tree:
aaarticlea/png;base64,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" alt="" width="880" height="293" />
B+Tree:
aaarticlea/png;base64,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" alt="" width="880" height="327" />
二、MySQL数据库索引为啥使用B+树作为底层数据结构
1)明确数据库索引是解决什么问题的
这里举最常用的两个功能性需求:
1.根据某个值查找数据,比如 select * from user where id=1234;
2.根据区间值来查找某些数据,比如 select * from user where id > 1234 and id < 2345;
然后是非功能性需求比如性能方面的:
主要考察时间和空间两方面,也就是执行效率和存储空间。
在执行效率方面,我们希望通过索引,查询数据的效率尽可能的高;在存储空间方面,我们希望索引不要消耗太多的内存空间。
2)明确了待解决的问题,然后就是用已知的数据结构解决问题
我们已知的支持快速查询、插入等操作的动态数据结构有:散列表、平衡二叉查找树、跳表、B+树
1.散列表 (不满足)
散列表的查询性能很好,时间复杂度是 O(1)。但是,散列表不能支持按照区间快速查找数据
2.平衡二叉查找树(不满足)
平衡二叉查找树查询的性能也很高,时间复杂度是 O(logn)。而且,对树进行中序遍历,我们还可以得到一个从小到大有序的数据序列,但这仍然不足以支持按照区间快速查找数据
3.跳表(满足)
跳表是在链表之上加上多层索引构成的。它支持快速地插入、查找、删除数据,对应的时间复杂度是 O(logn)。并且,跳表也支持按照区间快速地查找数据。我们只需要定位到区间起点值对应在链表中的结点,然后从这个结点开始,顺序遍历链表,直到区间终点对应的结点为止,这期间遍历得到的数据就是满足区间值的数据。
4.B+树 (满足)
B+树这种数据结构跟跳表非常相似,所以适合做数据库索引。不过,它是通过二叉查找树演化过来的,而非跳表。
3)确定使用B+树后,那么如何解决索引占用太多内存的问题呢?
因为作为数据库索引,存储的数据可能非常的大,比如给一亿个数据构建索引,那索引中会包含大约 1 亿个节点,每个节点假设占用 16 个字节,那就需要大约 1GB 的内存空间。给一张表建立索引,我们需要 1GB 的内存空间。如果我们要给 10 张表建立索引,那对内存的需求是无法满足的。
那么我们就需要借助空间换时间的思路,把索引存储在硬盘中,而非内存中。我们都知道,硬盘是一个非常慢速的存储设备。通常内存的访问速度是纳秒级别的,而磁盘访问的速度是毫秒级别的。读取同样大小的数据,从磁盘中读取花费的时间,是从内存中读取所花费时间的上万倍,甚至几十万倍。
将索引存储在硬盘中后,尽管减少了内存消耗,但是在数据查找的过程中,需要读取磁盘中的索引,因此数据查询效率就相应降低很多。对于B+树来说,每个节点的读取(或者访问),都对应一次磁盘 IO 操作。树的高度就等于每次查询数据时磁盘 IO 操作的次数。我们优化的重点就是尽量减少磁盘 IO 操作,也就是,尽量降低树的高度。
4)为了提高B+树索引的效率,那么如何降低树的高度?
对于B+树来说,其实可以看做是 m 叉树,那么树的高度就取决于 m 的大小。比如给 16 个数据构建二叉树索引,树的高度是 4,查找一个数据,就需要 4 个磁盘 IO 操作(如果根节点存储在内存中,其他结点存储在磁盘中),如果对 16 个数据构建五叉树索引,那高度只有 2,查找一个数据,对应只需要 2 次磁盘操作。如果 m 叉树中的 m 是 100,那对一亿个数据构建索引,树的高度也只是 3,最多只要 3 次磁盘 IO 就能获取到数据。磁盘 IO 变少了,查找数据的效率也就提高了。
m越大,树的高度就越小,那么m是不是越大越好呢?不是,不管是内存中的数据,还是磁盘中的数据,操作系统都是按页(一页大小通常是 4KB,这个值可以通过 getconfig PAGE_SIZE 命令查看)来读取的,一次会读一页的数据。如果要读取的数据量超过一页的大小,就会触发多次 IO 操作。所以,我们在选择 m 大小的时候,要尽量让每个节点的大小等于一个页的大小。读取一个节点,只需要一次磁盘 IO 操作。
5)索引的使用也会导致写入数据效率的下降
尽管索引可以提高数据库的查询效率,但是,作为一名开发工程师,你应该也知道,索引有利也有弊,它也会让写入数据的效率下降
/**
* 这是 B+ 树非叶子节点的定义。
*
* 假设 keywords=[3, 5, 8, 10]
*
* 4 个键值将数据分为 5 个区间:(-INF,3), [3,5), [5,8), [8,10), [10,INF)
*
* 5 个区间分别对应:children[0]...children[4]
*
* m 值是事先计算得到的,计算的依据是让所有信息的大小正好等于页的大小:
*
* PAGE_SIZE = (m-1)*4[keywordss 大小]+m*8[children 大小]
*/
public class BPlusTreeNode {
public static int m = 5; // 5 叉树
public int[] keywords = new int[m - 1]; // 键值,用来划分数据区间
public BPlusTreeNode[] children = new BPlusTreeNode[m];// 保存子节点指针
}
/**
* 这是 B+ 树中叶子节点的定义。
*
* B+ 树中的叶子节点跟内部结点是不一样的,
*
* 叶子节点存储的是值,而非区间。
*
* 这个定义里,每个叶子节点存储 3 个数据行的键值及地址信息。
*
* k 值是事先计算得到的,计算的依据是让所有信息的大小正好等于页的大小:
*
* PAGE_SIZE = k*4[keyw.. 大小]+k*8[dataAd.. 大小]+8[prev 大小]+8[next 大小]
*/
public class BPlusTreeLeafNode {
public static int k = 3;
public int[] keywords = new int[k]; // 数据的键值
public long[] dataAddress = new long[k]; // 数据地址
public BPlusTreeLeafNode prev; // 这个结点在链表中的前驱结点
public BPlusTreeLeafNode next; // 这个结点在链表中的后继结点
}
- 为什么MySQL数据库索引选择使用B+树?
在进一步分析为什么MySQL数据库索引选择使用B+树之前,我相信很多小伙伴对数据结构中的树还是有些许模糊的,因此我们由浅入深一步步探讨树的演进过程,在一步步引出B树以及为什么MySQL数据库索引选择使 ...
- 用漫画的形式来讲解为什么MySQL数据库要用B+树存储索引?
小史是一个应届生,虽然学的是电子专业,但是自己业余时间看了很多互联网与编程方面的书,一心想进BAT互联网公司. 话说两个多月前,小史通过了A厂的一面,两个多月后的今天,小史终于等到了A厂的二面. 简单 ...
- (转)MySql数据库索引原理(总结性)
本文引用文章如链接: http://www.codinglabs.org/html/theory-of-mysql-index.html#more-100 参考书籍:Mysql技术内幕 本文主要是阐述 ...
- MySQL数据库索引常见问题
笔者看过很多数据库相关方面的面试题,但大多数答案都不太准确,因此决定在自己blog进行一个总结. Q1:数据库有哪些索引?优缺点是什么? 1.B树索引:大多数数据库采用的索引(innoDB采用的是b+ ...
- 谈谈MySQL数据库索引
在分析MySQL数据库索引之前,很多小伙伴对数据结构中的树理解不够深刻.因此我们由浅入深一步步探讨树的演进过程,再一步步引出MySQL数据库索引底层数据结构. 一.二叉树 二叉查找树也称为有序二叉查找 ...
- MySQL 树形索引结构 B树 B+树
MySQL 树形索引结构 B树 B+树 如何评估适合索引的数据结构 索引的本质是一种数据结构 内存只是临时存储,容量有限且容易丢失数据.因此我们需要将数据放在硬盘上. 在硬盘上进行查询时也就产生了 ...
- MySQL数据库索引的4大类型以及相关的索引创建
以下的文章主要介绍的是MySQL数据库索引类型,其中包括普通索引,唯一索引,主键索引与主键索引,以及对这些索引的实际应用或是创建有一个详细介绍,以下就是文章的主要内容描述. (1)普通索引 这是最基本 ...
- 知识点:Mysql 数据库索引优化实战(4)
知识点:Mysql 索引原理完全手册(1) 知识点:Mysql 索引原理完全手册(2) 知识点:Mysql 索引优化实战(3) 知识点:Mysql 数据库索引优化实战(4) 一:插入订单 业务逻辑:插 ...
- 第二百八十八节,MySQL数据库-索引、limit分页、执行计划、慢日志查询
MySQL数据库-索引.limit分页.执行计划.慢日志查询 索引,是数据库中专门用于帮助用户快速查询数据的一种数据结构.类似于字典中的目录,查找字典内容时可以根据目录查找到数据的存放位置,然后直接获 ...
随机推荐
- ERROR! The server quit without updating PID file (/application/mysql-5.6.40/data/db01-51.pid).
centos7.5 安装mysql数据库报错 问题: [root@db01-51 scripts]# /etc/init.d/mysqld start Starting MySQL.Logging t ...
- tcp客户端封装
1.头文件 #ifndef TCPCLIENT_H #define TCPCLIENT_H #include <QTcpSocket> class TcpClient : public Q ...
- python --- 05 字典 集合
一.字典 可变数据类型 {key:value}形式 查找效率高 key值必须是不可变的数据类型 1.增删改查 1).增 dic["新key"] = "新va ...
- 5.sql2008分组与嵌套
1.Group by基本介绍;2.Having的使用;3.分组综合应用;4.子查询基本介绍;5.In/Exists/Any/Some/All;6.子查询综合应用; 1.Group by基本介绍:依据B ...
- if语句学习
#print("您好,我叫周星驰") ''' x=1+2+3 print(x*4) print(x**x) a=input("请输入相应的数字a") a=int ...
- ODAC(V9.5.15) 学习笔记(十)TVirtualTable
名称 类型 说明 Options TVirtualTableOptions 选择项,包括: voPersistentData:在数据集关闭时不处理其相关数据内容 voStored:设计期对数据集的处理 ...
- 集训DAYn——组合数学(1)
组合 又到了我们信息老师讲数学课了,吼吼吼 然后数学老师中途探望了一下,哇塞塞,然后他看到黑板上的题,微妙的笑了. 排列: 从n个数中有序的选出m个数的方案数是多少?第一个数有n种取法,第二个数有n- ...
- Git学习笔记---协作的一般流程
一般的操作流程 1.pull 王小坤与另一个同事张大炮一起开发一个项目,张大炮昨天修改了数据库读写的api,优化了执行速度,并把read()函数改名成了Read(),下午下班之前把这些代码push到服 ...
- 使用msi自动安装系统
在实际生活中, 还是要尽量使用 自动化 脚本 等来处理/执行问题, 那样更快更省力省时间 要多使用 网络工具, 网络工具在 管理/ 使用网络的过程 中还是很有用的. 要有这种 "多使用网络工 ...
- LightOJ 1151 Snakes and Ladders(概率DP + 高斯消元)
题意:1~100的格子,有n个传送阵,一个把进入i的人瞬间传送到tp[i](可能传送到前面,也可能是后面),已知传送阵终点不会有另一个传送阵,1和100都不会有传送阵.每次走都需要掷一次骰子(1~6且 ...