| Excerpt |
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This example illustrates how to apply inverse (arc) hyperbolic functions to your transformations. |
Functions:
| D generate list excerpts |
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| pages | ASINH Function,ACOSH Function,ATANH Function |
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Also:
| D generate list excerpts |
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| pages | ROUND Function,DEGREES Function,NULL Function |
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Source:
In the following sample, input values are in radians. In this example, all values are rounded to two decimals for clarity.
| Y |
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| -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:
| D trans |
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| RawWrangle | true |
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| p03Value | 'asinhY' |
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| Type | step |
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| WrangleText | derive type: single value: round(degrees(asinh(Y)), 2) as: 'asinhY' |
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| p01Name | Formula type |
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| p01Value | Single row formula |
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| p02Name | Formula |
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| p02Value | round(degrees(asinh(Y)), 2) |
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| p03Name | New column name |
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| SearchTerm | New formula |
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Hyperbolic arccosine:
Valid over the range (y > 1)
| D trans |
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| RawWrangle | true |
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| p03Value | 'acoshY' |
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| Type | step |
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| WrangleText | derive type: single value: if(Y>1,round(degrees(acosh(Y)), 2),null()) as: 'acoshY' |
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| p01Name | Formula type |
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| p01Value | Single row formula |
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| p02Name | Formula |
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| p02Value | if(Y>1,round(degrees(acosh(Y)), 2),null()) |
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| p03Name | New column name |
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| SearchTerm | New formula |
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|
Hyperbolic arctangent:
Valid over the range (-1 < y < 1)
| D trans |
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| RawWrangle | true |
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| p03Value | 'atanhY' |
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| Type | step |
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| WrangleText | derive type: single value: if(abs(y)<1,round(degrees(atanh(Y)), 2),null()) as: 'atanhY' |
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| p01Name | Formula type |
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| p01Value | Single row formula |
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| p02Name | Formula |
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| p02Value | if(abs(y)<1,round(degrees(atanh(Y)), 2),null()) |
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| p03Name | New column name |
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| SearchTerm | New formula |
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|
Results:
| Y | atanhY | acoshY | asinhY |
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| -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 |
| D s also |
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| label | example_trigonometry_hyperbolic_arc_functions |
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