ArcTanh / Computation Layer

Calculate the inverse hyperbolic tangent (arctanh) of values in a column. Similar to pandas arctanh(), numpy.arctanh(), or R's atanh() function.

Mathematical form: $y_{i} = arctanh (x_{i}) = \frac{1}{2} ln (\frac{1 + x _{i}}{1 - x _{i}})$ where:

Input domain: $x_{i} \in (- 1, 1)$
Output range: all real numbers

Common applications:

Special relativity calculations
Neural network activations
Signal compression/expansion
Statistical transformations
Logistic function analysis
Information theory metrics

Note: Returns null for inputs ≤ -1 or ≥ 1. Values approach infinity as input nears ±1.

Table

Transforms

[, ...]

Select

column

The numeric column for inverse hyperbolic tangent calculation. Examples:

Small values (0.1 → 0.100...)
Mid-range (0.5 → 0.549...)
Near bounds (0.99 → 2.647...)
Zero (0.0 → 0.0)

Values must be strictly between -1 and 1

Name for the new column. If not provided, the system generates a unique name. If AsColumn matches an existing column, the exists column is replaced. The name should follow valid column naming conventions.