ArcCos / Computation Layer

Calculate the inverse cosine (arccos) of values in a column. Similar to pandas arccos(), numpy.arccos(), or R's acos() function. Returns angles in radians.

Mathematical form: $y_{i} = arccos (x_{i}) = cos^{- 1} (x_{i})$ where:

Input domain: $x_{i} \in [- 1, 1]$
Output range: $y_{i} \in [0, π]$

Common applications:

Angular displacement calculations
Vector angle determination
Navigation and positioning
Optical path analysis
Phase angle computations
Crystal structure analysis

Note: Returns null for inputs outside [-1, 1] and preserves existing nulls.

Table

Transforms

[, ...]

Select

column

The numeric column for inverse cosine calculation. Examples:

Unit vectors (0.5 → 1.0472 rad ≈ 60°)
Direction cosines (1.0 → 0 rad = 0°)
Correlation values (-1.0 → π rad = 180°)
Normalized data (0.0 → π/2 rad = 90°)

Values must be in range [-1, 1]

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