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ExtrapolationType ​

Specifies the extrapolation method used for the 1D innterpolation when trying to access values outside of the given data.

Variants:

  • None: This extrapolation type will throw an error when the input t is beyond the data in the specified direction.

  • Constant: This extrapolation type extends the interpolation with the boundary values of the data.

  • Linear: This extrapolation type extends the interpolation with a linear continuation of the interpolation, making it C1 smooth at the data boundaries.

  • Extension: This extrapolation type extends the interpolation with a continuation of the expression for the interpolation at the boundary intervals for maximum smoothness.

  • Periodic: This extrapolation type extends the interpolation such that A(t + T) == A(t) for all t, where the period is given by T = last(A.t) - first(A.t).

  • Reflective: This extrapolation type extends the interpolation such that A(t_ + t) == A(t_ - t) for all t_, t such that (t_ - first(A.t)) % T == 0 and 0 < t < T, where T = last(A.t) - first(A.t).

Cases ​

  • None

  • Constant

  • Linear

  • Extension

  • Periodic

  • Reflective

Source ​

dyad
"""
Specifies the extrapolation method used for the 1D innterpolation when trying to access values outside of the given data.

Variants:
- `None`: This extrapolation type will throw an error when the input t is beyond the data in the specified direction.
- `Constant`: This extrapolation type extends the interpolation with the boundary values of the data.
- `Linear`: This extrapolation type extends the interpolation with a linear continuation of the interpolation, making it $C^1$ smooth at the data boundaries.
- `Extension`: This extrapolation type extends the interpolation with a continuation of the expression for the interpolation at the boundary intervals for maximum smoothness.
- `Periodic`: This extrapolation type extends the interpolation such that `A(t + T) == A(t) for all t`, where the period is given by `T = last(A.t) - first(A.t)`.
- `Reflective`: This extrapolation type extends the interpolation such that `A(t_ + t) == A(t_ - t)` for all `t_, t` such that `(t_ - first(A.t)) % T == 0` and `0 < t < T`, where `T = last(A.t) - first(A.t)`.
"""
enum ExtrapolationType =
  | None
  | Constant
  | Linear
  | Extension
  | Periodic
  | Reflective

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