Contents:
Computes the arcsine of an input value for a hyperbolic angle measured in radians. The value can be a Decimal or Integer literal or a reference to a column containing numeric values.
A hyperbola is the shape created by taking a planar slice of two cones whose tips are touching each other. For two identical cones, the curves of the slices mirror each other, no matter the angle of the plane through the cones.
The two slices represent the set of points on a grid such that:
where
kis some constant.- The hyperbolic trigonometric functions measure trigonometric calculations for the right-side (x > 0) slice of the hyperbola.
- For more information, see https://en.wikipedia.org/wiki/Hyperbola.
The hyperbolic arcsine (ASINH) function is computed using the following formula:
You can convert from degrees to radians. For more information, see RADIANS Function.
Wrangle vs. SQL: This function is part of Wrangle, a proprietary data transformation language. Wrangle is not SQL. For more information, see Wrangle Language.
Basic Usage
Numeric literal example:
round(asinh(0.5),3)
Output: Returns the computation of the hyperbolic angle in radians whose sine is 0.5. The output value is rounded to three decimals: 0.481.
Column reference example:
asinh(X)
Output: Returns the hyperbolic angle the sine value for which is stored in radians in X column.
Syntax and Arguments
asinh(numeric_value)
| Argument | Required? | Data Type | Description |
|---|---|---|---|
| numeric_value | Y | string, decimal, or integer | Name of column, Decimal or Integer literal, or function returning those types to apply to the function |
For more information on syntax standards, see Language Documentation Syntax Notes.
numeric_value
Name of the column, Integer or Decimal literal, or function returning that data type to apply to the function.
- Missing input values generate missing results.
- Literal numeric values should not be quoted. Quoted values are treated as strings.
- Multiple columns and wildcards are not supported.
Usage Notes:
| Required? | Data Type | Example Value |
|---|---|---|
| Yes | String (column reference) or Integer or Decimal literal | 0.5 |
Tip: For additional examples, see Common Tasks.
Examples
Example - Hyperbolic arc trigonometry functions
Functions:
| Item | Description |
|---|---|
| ASINH Function | Computes the arcsine of an input value for a hyperbolic angle measured in radians. The value can be a Decimal or Integer literal or a reference to a column containing numeric values. |
| ACOSH Function | Computes the arccosine of an input value for a hyperbolic angle measured in radians. The value can be a Decimal or Integer literal or a reference to a column containing numeric values. |
| ATANH Function | Computes the arctangent of an input value for a hyperbolic angle measured in radians. The value can be a Decimal or Integer literal or a reference to a column containing numeric values. |
Also:
| Item | Description |
|---|---|
| ROUND Function | Rounds input value to the nearest integer. Input can be an Integer, a Decimal, a column reference, or an expression. Optional second argument can be used to specify the number of digits to which to round. |
| DEGREES Function | Computes the degrees of an input value measuring the radians of an angle. The value can be a Decimal or Integer literal or a reference to a column containing numeric values. |
| NULL Function |
The NULL function generates null values.
|
Source:
In the following sample, input values are in radians. In this example, all values are rounded to two decimals for clarity.
| Y |
|---|
| -4.00 |
| -3.00 |
| -2.00 |
| -1.00 |
| -0.75 |
| -0.50 |
| 0.00 |
| 0.50 |
| 0.75 |
| 1.00 |
| 2.00 |
| 3.00 |
| 4.00 |
Transformation:
The following transformations include checks for the valid ranges for input values.
Hyperbolic arcsine:
| Transformation Name | New formula |
|---|---|
| Parameter: Formula type | Single row formula |
| Parameter: Formula | round(degrees(asinh(Y)), 2) |
| Parameter: New column name | 'asinhY' |
Hyperbolic arccosine:
Valid over the range (y > 1)
| Transformation Name | New formula |
|---|---|
| Parameter: Formula type | Single row formula |
| Parameter: Formula | if(Y>1,round(degrees(acosh(Y)), 2),null()) |
| Parameter: New column name | 'acoshY' |
Hyperbolic arctangent:
Valid over the range (-1 < y < 1)
| Transformation Name | New formula |
|---|---|
| Parameter: Formula type | Single row formula |
| Parameter: Formula | if(abs(y)<1,round(degrees(atanh(Y)), 2),null()) |
| Parameter: New column name | 'atanhY' |
Results:
| Y | atanhY | acoshY | asinhY |
|---|---|---|---|
| -4 | null | null | -120.02 |
| -3 | null | null | -104.19 |
| -2 | null | null | -82.71 |
| -1.5 | null | null | -68.45 |
| -1 | null | null | -50.5 |
| -0.75 | -55.75 | null | -39.71 |
| -0.5 | -31.47 | null | -27.57 |
| 0 | 0 | null | 0 |
| 0.5 | 31.47 | null | 27.57 |
| 0.75 | 55.75 | null | 39.71 |
| 1 | null | null | 50.5 |
| 1.5 | null | 55.14 | 68.45 |
| 2 | null | 75.46 | 82.71 |
| 3 | null | 101 | 104.19 |
| 4 | null | 118.23 | 120.02 |
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