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$bucketAuto (aggregation)

Definition定义

$bucketAuto

Categorizes incoming documents into a specific number of groups, called buckets, based on a specified expression. 根据指定的表达式,将传入文档分类为特定数量的组,称为桶。Bucket boundaries are automatically determined in an attempt to evenly distribute the documents into the specified number of buckets.桶边界是自动确定的,目的是将文档平均分配到指定数量的桶中。

Each bucket is represented as a document in the output. The document for each bucket contains:每个桶在输出中表示为一个文档。每个桶的文档包含:

  • An _id object that specifies the bounds of the bucket.一个_id对象,用于指定桶的边界。

    • The _id.min field specifies the inclusive lower bound for the bucket._id.min字段指定桶的包含下界。
    • The _id.max field specifies the upper bound for the bucket. _id.max字段指定桶的上限。This bound is exclusive for all buckets except the final bucket in the series, where it is inclusive.此绑定对于除系列中的最后一个桶之外的所有桶都是独占的,在该桶中它是包含的。
  • A count field that contains the number of documents in the bucket. count字段,包含桶中的文档数。The count field is included by default when the output document is not specified.如果未指定output文档,则默认情况下会包含count字段。

The $bucketAuto stage has the following form:$bucketAuto阶段具有以下形式:

{
$bucketAuto: {
groupBy: <expression>,
buckets: <number>,
output: {
<output1>: { <$accumulator expression> },
...
}
granularity: <string>
}
}
Field字段Type类型Description描述
groupByexpressionAn expression to group documents by. 文档分组依据的表达式To specify a field path, prefix the field name with a dollar sign $ and enclose it in quotes.若要指定字段路径,请在字段名称前面加上美元符号$,并将其括在引号中。
bucketsintegerA positive 32-bit integer that specifies the number of buckets into which input documents are grouped.一个32位正整数,用于指定将输入文档分组到的桶数。
outputdocumentOptional.可选的。A document that specifies the fields to include in the output documents in addition to the _id field. 除了_id字段外,还指定要包含在输出文档中的字段的文档。To specify the field to include, you must use accumulator expressions: 要指定要包含的字段,必须使用累加器表达式
<outputfield1>: { <accumulator>: <expression1> },
...
The default count field is not included in the output document when output is specified. Explicitly specify the count expression as part of the output document to include it: 指定output时,输出文档中不包括默认count字段。将count表达式明确指定为输出文档的一部分,以包含它:
output: {
<outputfield1>: { <accumulator>: <expression1> },
...
count: { $sum: 1 }
}
granularitystringOptional.可选的。A string that specifies the preferred number series to use to ensure that the calculated boundary edges end on preferred round numbers or their powers of 10.一个字符串,指定要使用的首选数字系列,以确保计算的边界边以首选整数或其10的幂结束。
Available only if the all groupBy values are numeric and none of them are NaN.仅当所有groupBy值都是数字并且没有一个是NaN时才可用。
The supported values of granularity are: 支持的granularity值为:
  • "R5"
  • "R10"
  • "R20"
  • "R40"
  • "R80"
  • "1-2-5"
  • "E6"
  • "E12"
  • "E24"
  • "E48"
  • "E96"
  • "E192"
  • "POWERSOF2"

Considerations注意事项

$bucketAuto and Memory Restrictions和内存限制

The $bucketAuto stage has a limit of 100 megabytes of RAM. $bucketAuto阶段的RAM限制为100兆字节。By default, if the stage exceeds this limit, $bucketAuto returns an error. 默认情况下,如果阶段超过此限制,$bucketAuto将返回一个错误。To allow more space for stage processing, use the allowDiskUse option to enable aggregation pipeline stages to write data to temporary files.若要为阶段处理留出更多空间,请使用allowDiskUse选项启用聚合管道阶段以将数据写入临时文件。

Tip

Behavior行为

There may be less than the specified number of buckets if:如果出现以下情况,则可能存在少于指定数量的桶:

  • The number of input documents is less than the specified number of buckets.输入文档的数量小于指定的桶数量。
  • The number of unique values of the groupBy expression is less than the specified number of buckets.groupBy表达式的唯一值数小于指定的buckets数目。
  • The granularity has fewer intervals than the number of buckets.granularity的间隔少于buckets的数量。
  • The granularity is not fine enough to evenly distribute documents into the specified number of buckets.granularity不够细,无法将文档均匀分布到指定数量的buckets中。

If the groupBy expression refers to an array or document, the values are arranged using the same ordering as in $sort before determining the bucket boundaries.如果groupBy表达式引用数组或文档,则在确定桶边界之前,将使用与$sort中相同的顺序排列值。

The even distribution of documents across buckets depends on the cardinality, or the number of unique values, of the groupBy field. 文档在桶之间的均匀分布取决于groupBy字段的基数或唯一值的数量。If the cardinality is not high enough, the $bucketAuto stage may not evenly distribute the results across buckets.如果基数不够高,$bucketAuto阶段可能无法将结果均匀地分布在桶中。

Granularity粒度

The $bucketAuto accepts an optional granularity parameter which ensures that the boundaries of all buckets adhere to a specified preferred number series. $bucketAuto接受一个可选的granularity参数,该参数确保所有桶的边界都符合指定的首选数字序列Using a preferred number series provides more control on where the bucket boundaries are set among the range of values in the groupBy expression. 使用首选数字序列可以更好地控制groupBy表达式中值范围中的桶边界设置位置。They may also be used to help logarithmically and evenly set bucket boundaries when the range of the groupBy expression scales exponentially.groupBy表达式的范围按指数缩放时,它们也可以用于帮助以对数和均匀的方式设置桶边界。

Renard SeriesRenard系列

The Renard number series are sets of numbers derived by taking either the 5 th, 10 th, 20 th, 40 th, or 80 th root of 10, then including various powers of the root that equate to values between 1.0 to 10.0 (10.3 in the case of R80).雷纳德数系列是通过取10的第5、第10、第20、第40或第80个根导出的数集,然后包括等于1.0到10.0之间的值的根的各种幂(在R80的情况下为10.3)。

Set granularity to R5, R10, R20, R40, or R80 to restrict bucket boundaries to values in the series. granularity设置为R5R10R20R40R80,以将桶边界限制为系列中的值。The values of the series are multiplied by a power of 10 when the groupBy values are outside of the 1.0 to 10.0 (10.3 for R80) range.groupBy值在1.0到10.0(R80为10.3)范围之外时,该系列的值将乘以10的幂。

Example

The R5 series is based off of the fifth root of 10, which is 1.58, and includes various powers of this root (rounded) until 10 is reached. R5系列基于10的第五个根,即1.58,并包括该根的各种幂(四舍五入),直到达到10。The R5 series is derived as follows:R5系列的推导如下:

  • 10 0/5 = 1
  • 10 1/5 = 1.584 ~ 1.6
  • 10 2/5 = 2.511 ~ 2.5
  • 10 3/5 = 3.981 ~ 4.0
  • 10 4/5 = 6.309 ~ 6.3
  • 10 5/5 = 10

The same approach is applied to the other Renard series to offer finer granularity, i.e., more intervals between 1.0 and 10.0 (10.3 for R80).同样的方法也应用于其他Renard系列,以提供更精细的粒度,即1.0和10.0之间的更多间隔(R80为10.3)。

E SeriesE系列

The E number series are similar to the Renard series in that they subdivide the interval from 1.0 to 10.0 by the 6 th, 12 th, 24 th, 48 th, 96 th, or 192 nd root of ten with a particular relative error.E数系列与Renard系列相似,因为它们将1.0到10.0的区间细分为10的第6、12、24、48、96或192次根,并具有特定的相对误差。

Set granularity to E6, E12, E24, E48, E96, or E192 to restrict bucket boundaries to values in the series. granularity设置为E6E12E24E48E96E192,以将桶边界限制为系列中的值。The values of the series are multiplied by a power of 10 when the groupBy values are outside of the 1.0 to 10.0 range. groupBy值在1.0到10.0的范围之外时,该系列的值将乘以10的幂。To learn more about the E-series and their respective relative errors, see preferred number series.要了解有关E系列及其各自相对误差的更多信息,请参阅首选数字系列

1-2-5 Series系列

The 1-2-5 series behaves like a three-value Renard series, if such a series existed.1-2-5级数的行为类似于一个三值Renard级数,如果这样的级数存在的话。

Set granularity to 1-2-5 to restrict bucket boundaries to various powers of the third root of 10, rounded to one significant digit.granularity设置为1-2-5,将桶边界限制为10的三次方,四舍五入到一个有效数字。

Example

The following values are part of the 1-2-5 series: 以下值是1-2-5系列的一部分:0.1, 0.2, 0.5, 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, and so on...

Powers of Two Series两个级数的幂

Set granularity to POWERSOF2 to restrict bucket boundaries to numbers that are a power of two.granularity设置为POWERSOF2,将桶边界限制为2的幂。

Example

The following numbers adhere to the power of two Series:以下数字遵循两个系列的幂:

  • 2 0 = 1
  • 2 1 = 2
  • 2 2 = 4
  • 2 3 = 8
  • 2 4 = 16
  • 2 5 = 32
  • and so on...等等

A common implementation is how various computer components, like memory, often adhere to the POWERSOF2 set of preferred numbers:一个常见的实现是,各种计算机组件(如内存)通常遵循POWERSOF2首选数字集:

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, and so on....

Comparing Different Granularities比较不同粒度

The following operation demonstrates how specifying different values for granularity affects how $bucketAuto determines bucket boundaries. A collection of things have an _id numbered from 0 to 99:以下操作演示了为granularity指定不同值如何影响$bucketAuto确定桶边界。一个things集合的_id编号从0到99:

{ _id: 0 }
{ _id: 1 }
...
{ _id: 99 }

Different values for granularity are substituted into the following operation:将不同的granularity值代入以下操作:

db.things.aggregate( [
{
$bucketAuto: {
groupBy: "$_id",
buckets: 5,
granularity: <granularity>
}
}
] )

The results in the following table demonstrate how different values for granularity yield different bucket boundaries:下表中的结果展示了granularity的不同值如何产生不同的桶边界:

Granularity粒度Results后果Notes备注
No granularity无粒度{ "_id" : { "min" : 0, "max" : 20 }, "count" : 20 }
{ "_id" : { "min" : 20, "max" : 40 }, "count" : 20 }
{ "_id" : { "min" : 40, "max" : 60 }, "count" : 20 }
{ "_id" : { "min" : 60, "max" : 80 }, "count" : 20 }
{ "_id" : { "min" : 80, "max" : 99 }, "count" : 20 }
R20{ "_id" : { "min" : 0, "max" : 20 }, "count" : 20 }
{ "_id" : { "min" : 20, "max" : 40 }, "count" : 20 }
{ "_id" : { "min" : 40, "max" : 63 }, "count" : 23 }
{ "_id" : { "min" : 63, "max" : 90 }, "count" : 27 }
{ "_id" : { "min" : 90, "max" : 100 }, "count" : 10 }
E24{ "_id" : { "min" : 0, "max" : 20 }, "count" : 20 }
{ "_id" : { "min" : 20, "max" : 43 }, "count" : 23 }
{ "_id" : { "min" : 43, "max" : 68 }, "count" : 25 }
{ "_id" : { "min" : 68, "max" : 91 }, "count" : 23 }
{ "_id" : { "min" : 91, "max" : 100 }, "count" : 9 }
1-2-5{ "_id" : { "min" : 0, "max" : 20 }, "count" : 20 }
{ "_id" : { "min" : 20, "max" : 50 }, "count" : 30 }
{ "_id" : { "min" : 50, "max" : 100 }, "count" : 50 }
The specified number of buckets exceeds the number of intervals in the series.指定的桶数超过了序列中的间隔数。
POWERSOF2{ "_id" : { "min" : 0, "max" : 32 }, "count" : 32 }
{ "_id" : { "min" : 32, "max" : 64 }, "count" : 32 }
{ "_id" : { "min" : 64, "max" : 128 }, "count" : 36 }
The specified number of buckets exceeds the number of intervals in the series.指定的桶数超过了序列中的间隔数。

Example实例

Consider a collection artwork with the following documents:考虑一件带有以下文件的集合artwork

{ "_id" : 1, "title" : "The Pillars of Society", "artist" : "Grosz", "year" : 1926,
"price" : NumberDecimal("199.99"),
"dimensions" : { "height" : 39, "width" : 21, "units" : "in" } }
{ "_id" : 2, "title" : "Melancholy III", "artist" : "Munch", "year" : 1902,
"price" : NumberDecimal("280.00"),
"dimensions" : { "height" : 49, "width" : 32, "units" : "in" } }
{ "_id" : 3, "title" : "Dancer", "artist" : "Miro", "year" : 1925,
"price" : NumberDecimal("76.04"),
"dimensions" : { "height" : 25, "width" : 20, "units" : "in" } }
{ "_id" : 4, "title" : "The Great Wave off Kanagawa", "artist" : "Hokusai",
"price" : NumberDecimal("167.30"),
"dimensions" : { "height" : 24, "width" : 36, "units" : "in" } }
{ "_id" : 5, "title" : "The Persistence of Memory", "artist" : "Dali", "year" : 1931,
"price" : NumberDecimal("483.00"),
"dimensions" : { "height" : 20, "width" : 24, "units" : "in" } }
{ "_id" : 6, "title" : "Composition VII", "artist" : "Kandinsky", "year" : 1913,
"price" : NumberDecimal("385.00"),
"dimensions" : { "height" : 30, "width" : 46, "units" : "in" } }
{ "_id" : 7, "title" : "The Scream", "artist" : "Munch",
"price" : NumberDecimal("159.00"),
"dimensions" : { "height" : 24, "width" : 18, "units" : "in" } }
{ "_id" : 8, "title" : "Blue Flower", "artist" : "O'Keefe", "year" : 1918,
"price" : NumberDecimal("118.42"),
"dimensions" : { "height" : 24, "width" : 20, "units" : "in" } }

Single Facet Aggregation单位面聚合

In the following operation, input documents are grouped into four buckets according to the values in the price field:在以下操作中,输入的单据根据price字段中的值分为四个桶:

db.artwork.aggregate( [
{
$bucketAuto: {
groupBy: "$price",
buckets: 4
}
}
] )

The operation returns the following documents:该操作返回以下文档:

{
"_id" : {
"min" : NumberDecimal("76.04"),
"max" : NumberDecimal("159.00")
},
"count" : 2
}
{
"_id" : {
"min" : NumberDecimal("159.00"),
"max" : NumberDecimal("199.99")
},
"count" : 2
}
{
"_id" : {
"min" : NumberDecimal("199.99"),
"max" : NumberDecimal("385.00")
},
"count" : 2
}
{
"_id" : {
"min" : NumberDecimal("385.00"),
"max" : NumberDecimal("483.00")
},
"count" : 2
}

Multi-Faceted Aggregation多位面聚合

The $bucketAuto stage can be used within the $facet stage to process multiple aggregation pipelines on the same set of input documents from artwork.$bucketAuto阶段可以在$facet阶段中用于处理来自artwork的同一组输入文档上的多个聚合管道。

The following aggregation pipeline groups the documents from the artwork collection into buckets based on price, year, and the calculated area:以下聚合管道根据priceyear和计算所得的areaartwork集合中的文档分组为多个桶:

db.artwork.aggregate( [
{
$facet: {
"price": [
{
$bucketAuto: {
groupBy: "$price",
buckets: 4
}
}
],
"year": [
{
$bucketAuto: {
groupBy: "$year",
buckets: 3,
output: {
"count": { $sum: 1 },
"years": { $push: "$year" }
}
}
}
],
"area": [
{
$bucketAuto: {
groupBy: {
$multiply: [ "$dimensions.height", "$dimensions.width" ]
},
buckets: 4,
output: {
"count": { $sum: 1 },
"titles": { $push: "$title" }
}
}
}
]
}
}
] )

The operation returns the following document:该操作返回以下文档:

{
"area" : [
{
"_id" : { "min" : 432, "max" : 500 },
"count" : 3,
"titles" : [
"The Scream",
"The Persistence of Memory",
"Blue Flower"
]
},
{
"_id" : { "min" : 500, "max" : 864 },
"count" : 2,
"titles" : [
"Dancer",
"The Pillars of Society"
]
},
{
"_id" : { "min" : 864, "max" : 1568 },
"count" : 2,
"titles" : [
"The Great Wave off Kanagawa",
"Composition VII"
]
},
{
"_id" : { "min" : 1568, "max" : 1568 },
"count" : 1,
"titles" : [
"Melancholy III"
]
}
],
"price" : [
{
"_id" : { "min" : NumberDecimal("76.04"), "max" : NumberDecimal("159.00") },
"count" : 2
},
{
"_id" : { "min" : NumberDecimal("159.00"), "max" : NumberDecimal("199.99") },
"count" : 2
},
{
"_id" : { "min" : NumberDecimal("199.99"), "max" : NumberDecimal("385.00") },
"count" : 2 },
{
"_id" : { "min" : NumberDecimal("385.00"), "max" : NumberDecimal("483.00") },
"count" : 2
}
],
"year" : [
{ "_id" : { "min" : null, "max" : 1913 }, "count" : 3, "years" : [ 1902 ] },
{ "_id" : { "min" : 1913, "max" : 1926 }, "count" : 3, "years" : [ 1913, 1918, 1925 ] },
{ "_id" : { "min" : 1926, "max" : 1931 }, "count" : 2, "years" : [ 1926, 1931 ] }
]
}