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Function

The Function operator transforms input values through a piecewise function specified by a set of points, using either linear or Hermite interpolation.

Inputs: 1 port (port 0)
Outputs: 1 port (port 0)

Operation​

For input values between defined points, the operator performs interpolation according to the specified method:

  • linear: Simple linear interpolation between adjacent points
  • hermite: Smooth cubic Hermite interpolation using estimated tangents

For input values outside the defined range, the operator extrapolates using the chosen method.

The operator emits transformed values through port 0 immediately after receiving input.

Example​

Given points: [(0,0), (1,2), (2,0)] with linear interpolation:

Time  Input  Output  Notes
1     0.5    1.0     Linear interpolation between (0,0) and (1,2)
3     1.5    1.0     Linear interpolation between (1,2) and (2,0)
5     2.5    -1.0    Linear extrapolation beyond (2,0)

Points Specification​

Points must be provided as (x,y) coordinate pairs. At least 2 points are required. Points are automatically sorted by x-coordinate.

Interpolation Types​

Linear​

  • Simple straight-line interpolation between points
  • Computationally efficient
  • Continuous but not smooth at control points

Hermite​

  • Smooth cubic interpolation using estimated tangents
  • Better for representing natural curves
  • Maintains continuity of first derivatives
  • More computationally intensive

Use Cases​

  • Signal value transformation
  • Sensor calibration curves
  • Transfer function implementation
  • Non-linear scaling
  • Smooth transition functions