build(deps): update DataInterpolations requirement from 6.4, 7, 8, 9.0 to 6.4, 7, 8, 9.0, 10.1 in /docs in the all-julia-packages group across 1 directory

[dependabot]

Updates the requirements on DataInterpolations to permit the latest version.
Updates DataInterpolations to 10.1.0

Release notes

Sourced from DataInterpolations's releases.

v10.1.0

DataInterpolations v10.1.0

Diff since v10.0.0

Merged pull requests:

• refactor: use BaryCentric Formula for Lagrange Interpolation (#596) (@​sathvikbhagavan)
• Release 10.1.0 (#598) (@​ChrisRackauckas)

Closed issues:

• Use barycentric formula for Lagrange interpolation (#75)

Changelog

Sourced from DataInterpolations's changelog.

DataInterpolations v9 Release Notes

Breaking changes

• The deprecated RegularizationTools extension and the RegularizationSmooth interpolation type have been removed. RegularizationTools was deprecated and capped Optim to ≤ 1; removing it restores support for Optim v2.

• The assume_linear_t constructor keyword and the DataInterpolations.looks_linear utility have been removed. Knot-vector structure is now probed once at construction through FindFirstFunctions.SearchProperties(t) and cached on every interpolation as A.t_props; uniformly-spaced knots are detected exactly and automatically. To override the probe, pass the new search_properties keyword accepted by every constructor, e.g. LinearInterpolation(u, t; search_properties = FindFirstFunctions.SearchProperties(t; is_uniform = true)).

New features

• Every interpolation constructor accepts a search_properties::Union{Nothing, FindFirstFunctions.SearchProperties} keyword. The default nothing probes t at construction; passing a pre-built SearchProperties skips the probe (useful when constructing many interpolations over the same knot vector).

• Knot search is dispatched through FindFirstFunctions.Auto(t) resolved at construction: uniformly-spaced knots (any AbstractRange, or vectors detected as exactly uniform) use a closed-form O(1) lookup; short non-uniform knot vectors use a linear scan; everything else keeps the previous bracketed gallop.

• LinearInterpolation with uniformly-spaced knots and floating-point values takes a statically-dispatched fast path (closed-form index + lerp, verified against the live knots) — 5-10x faster per query on uniform grids.

• QuadraticSpline construction is now O(n) instead of O(n^2) (running locator in quadratic_spline_params), e.g. ~870x faster at 100k points.

DataInterpolations v5 Release Notes

Breaking changes

• AbstractInterpolation is not a subtype of AbstractVector anymore. This was needed for previous versions of ModelingToolkit.jl to represent splines as vectors.

• Indexing overloads for AbstractInterpolation and the type parameter associated with it are removed. For example - A is an interpolation object:

  • Doing A[i] will error. Use A.u[i].
  • size(A) will error. Use size(A.u) or size(A.t).

• Removed deprecated bindings for ZeroSpline which is the same as ConstantInterpolation.

DataInterpolations v6 Release Notes

Breaking changes

• SciML/DataInterpolations.jl#274 introduced caching of parameters for interpolations (released in v5.3) and also introduced a field safetycopy which was a boolean flag to create a copy of the data as the parameters would be invalid if data is mutated. This was removed in SciML/DataInterpolations.jl#315 to introduce cache_parameters which made it explicit if a user wants to opt in for parameter caching or not.

Commits

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