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$sinh (aggregation)

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$sinh

New in version 4.2. 4.2版新增。

Returns the hyperbolic sine of a value that is measured in radians.返回以弧度为单位测量的值的双曲正弦。

$sinh has the following syntax:具有以下语法：

{ $sinh: <expression> }

$sinh takes any valid expression that resolves to a number, measured in radians. 采用任何解析为以弧度为单位的数字的有效表达式。If the expression returns a value in degrees, use the $degreesToRadians operator to convert the value to radians.如果表达式返回以度为单位的值，请使用$degreesToRadians运算符将该值转换为弧度。

By default $sinh returns values as a double. $sinh can also return values as a 128-bit decimal if the <expression> resolves to a 128-bit decimal value.默认情况下，$sinh以double形式返回值，如果<expression>解析为128位十进制值，$sinh也可以返回128位十进制的值。

For more information on expressions, see Expressions.有关表达式的详细信息，请参阅表达式。

Behavior行为

null, NaN, and +/- Infinity

If the input argument resolves to a value of null or refers to a field that is missing, $sinh returns null. 如果输入参数解析为null值或引用了缺失的字段，$sinh将返回null。If the argument resolves to NaN, $sinh returns NaN. 如果参数解析为NaN，$sinh将返回NaN。If the argument resolves to negative or positive Infinity, $sinh returns negative or positive Infinity respectively.如果参数解析为负Infinity或正Infinity，$sinh将分别返回负Infinity和正Infinity。

Example示例Results结果
{ $sinh: NaN }NaN
{ $sinh: null }null
{ $sinh: -Infinity }-Infinity
{ $sinh: Infinity }Infinity

Example实例

Hyperbolic Sine of Value in Degrees值为度的双曲正弦Hyperbolic Sine of Value in Radians弧度值的双曲正弦

The following trigonometry collection contains a document that stores an angle value measured in degrees:以下trigonometry集合包含一个文档，该文档存储以度为单位测量的angle值：

db.trigonometry.insertOne(
   {
      "_id" : ObjectId( "5c50782193f833234ba90d25" ),
      "angle" : NumberDecimal( "53.1301023541559787031443874490659" )
   }
)

The following aggregation operation uses the $sinh expression to calculate the hyperbolic sine of angle and adds it to the input document using the $addFields pipeline stage:以下聚合操作使用$sinh表达式计算angle的双曲正弦，并使用$addFields管道阶段将其添加到输入文档：

db.trigonometry.aggregate( [
   {
      $addFields : {
         "sinh_output" : { $sinh : { $degreesToRadians : "$angle" } }
      }
   }
] )

The $degreesToRadians expression converts the angle in degrees to radians.$degreesToRadians表达式将angle（以度为单位）转换为弧度。

Example output:示例输出：

{
   "_id" : ObjectId("5c50782193f833234ba90d25"),
   "angle" : NumberDecimal("53.1301023541559787031443874490659"),
   "sinh_output" : NumberDecimal("1.066020404405732132503284522731829")
}

Because angle is stored as a 128-bit decimal, the $sinh output is also a 128-bit decimal.因为angle存储为128位十进制，所以$sinh输出也是128位十进制。

The following trigonometry collection contains a document that stores an angle value measured in radians:以下trigonometry集合包含一个文档，该文档存储以弧度为单位测量的角度值：

db.trigonometry.insertOne(
   {
      "_id" : ObjectId( "5c50782193f833234ba90d35" ),
      "angle" : NumberDecimal( "1.6301023541559787031443874490659" )
   }
)

The following aggregation operation uses the $sinh expression to calculate the hyperbolic sine of angle and adds it to the input document using the $addFields pipeline stage:以下聚合操作使用$sinh表达式计算angle的双曲正弦，并使用$addFields管道阶段将其添加到输入文档：

db.trigonometry.aggregate( [
   {
      $addFields : {
         "sinh_output" : { $sinh : "$angle" }
      }
   }
] )

Example output:输出示例：

{
   "_id" : ObjectId("5c50782193f833234ba90d35"),
   "angle" : NumberDecimal("1.6301023541559787031443874490659"),
   "sinh_output" : NumberDecimal("2.454243813557362033961729701069671")
}

Because angle is stored as a 128-bit decimal, the $sinh output is also a 128-bit decimal.因为angle存储为128位十进制，所以$sinh输出也是128位十进制。