MongoDB实战指南(五):MongoDB中的聚集分析
聚集操作是对数据进行分析的有效手段。MongoDB主要提供了三种对数据进行分析计算的方式:管道模式聚集分析,MapReduce聚集分析,简单函数和命令的聚集分析。
1. 管道模式进行聚集
这里所说的管道类似于Unix上的管道命令。数据通过一个多步骤的管道,每个步骤都会对数据进行处理,最后返回需要的结果集。管道提供了高效的数据分析流程,是MongoDB中首选的数据分析方法。一个典型的管道操作流程如下图所示:
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" alt="" />
聚集管道操作流程图
上图对应的操作语句如下图所示:
db.book.aggregate([{$match:{status:"normal"},{$group:{_id:"$book_id",total:{$sum:"$num"}}}])
数据依次通过数组中的各管道操作符进行处理,常用的管道操作符有以下几个。
$match:过滤文档,只传递匹配的文档到管道中的下一个步骤。
$limit:限制管道中文档的数量。
$skip:跳过指定数量的文档,返回剩下的文档。
$sort:对所有输入的文档进行排序。
$group:对所有文档进行分组然后计算聚集结果。
$out:将管道中的文档输出到一个具体的集合中。这个必须是管道操作中的最后一步。
与$group操作一起使用的计算聚集值的操作符有以下几个。
$first:返回group操作后的第一值。
$last:返回group操作后的最后一个值。
$max:返回group操作后的最大值。
$mix:返回group操作后的最小值。
$avg:返回group操作后的平均值。
$sum:返回group操作后所有值的和。
2. MapReduce模式聚集
MongoDB也提供了当前流行的MapReduce的并行编程模型,为海量数据的查询分析提供了一种更加高效的方法,用MongoDB做分布式存储,然后再用MapReduce来做分析。具体内容参考相关书籍。
3. 简单聚集函数
管道模式和MapReduce模式都是重型武器,基本上可以解决数据分析中的所有问题,但有时在数据量不是很大的情况下,直接调用基于集合的函数会更简单,常用的简单聚集函数有以下几种。
3.1 distinct函数,用于返回不重复的记录,返回值是数组,函数原型如下。
db.orders.distinct(key,<query>)
第一个参数为field,第二个参数为查询选择器,返回值不能大于系统规定的单个文档的最大值。
3.2 count函数,用于统计查询返回的记录总数,函数原型如下所示。
db.collection.find(<query>).count()
3.3 group函数,group函数与distinct函数一样,返回的结果集不能大于16M,不能在分片集群上进行操作且group不能处理超过10000个唯一键值。如果聚集操作超过了这个限制,只有使用上面介绍的管道聚集或MapReduce方案。
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