$asinh (aggregation)
$asinhReturns the inverse hyperbolic sine (hyperbolic arc sine) of a value.
$asinhhas the following syntax:{ $asinh: <expression> } $asinhtakes any valid expression that resolves to a number.$asinhreturns values in radians. Use$radiansToDegreesoperator to convert the output value from radians to degrees.By default
$asinhreturns values as adouble.$asinhcan also return values as a 128-bit decimal as long as the<expression>resolves to a 128-bit decimal value.For more information on expressions, see Expression Operators.
Behavior
null, NaN, and +/- Infinity
If the argument resolves to a value of null or refers to a field
that is missing, $asinh returns null. If the
argument resolves to NaN, $asinh returns NaN.
If the argument resolves to negative or positive infinity,
$asinh returns negative or positive infinity respectively.
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Example
The trigonometry collection contains a document that
stores a value along the x axis of a 2-D graph:
{   "_id" : ObjectId("5c50782193f833234ba90d85"),   "x-coordinate" : NumberDecimal("1") } 
The following aggregation operation uses the
$asinh expression to calculate inverse hyperbolic
sine of x-coordinate and add it to the input document using
the $addFields pipeline stage.
db.trigonometry.aggregate([   {     $addFields : {       "y-coordinate" : {         $radiansToDegrees : { $asinh : "$x-coordinate" }       }     }   } ]) 
The $radiansToDegrees expression converts the
radian value returned by $asinh to the equivalent
value in degrees.
The command returns the following output:
{   "_id" : ObjectId("5c50782193f833234ba90d85"),   "x-coordinate" : NumberDecimal("1"),   "y-coordinate" : NumberDecimal("50.49898671052621144221476300417157") } 
Since x-coordinate is stored as a
128-bit decimal, the output of
$asinh is a 128-bit decimal.
The trigonometry collection contains a document that
stores a value along the x axis of a 2-D graph:
{   "_id" : ObjectId("5c50782193f833234ba90d85"),   "x-coordinate" : NumberDecimal("1") } 
The following aggregation operation uses the
$asinh expression to calculate inverse hyperbolic
sine of x-coordinate and add it to the input document using
the $addFields pipeline stage.
db.trigonometry.aggregate([   {     $addFields : {       "y-coordinate" : {         $asinh : "$x-coordinate"       }     }   } ]) 
The command returns the following output:
{   "_id" : ObjectId("5c50782193f833234ba90d85"),   "x-coordinate" : NumberDecimal("1"),   "y-coordinate" : NumberDecimal("1.818446459232066823483698963560709") } 
Since x-coordinate is stored as a
128-bit decimal, the output of
$asinh is a 128-bit decimal.