griddedInterpolant — Create an object that interpolates real dense data on a rectilinear grid.

griddedInterpolant constructs an interpolant object with GridVectors, Values, Method, and ExtrapolationMethod properties. Calling the object with parentheses evaluates the interpolant at query points.

Syntax

F = griddedInterpolant
F = griddedInterpolant(V)
F = griddedInterpolant(x, v)
F = griddedInterpolant(gridVecs, V)
F = griddedInterpolant(X1, X2, ..., Xn, V)
F = griddedInterpolant(___, Method)
F = griddedInterpolant(___, Method, ExtrapolationMethod)

Inputs

Returns

Errors

How griddedInterpolant works

• griddedInterpolant(V) uses default grid vectors 1:size(V,dim).
• griddedInterpolant(x, v) and griddedInterpolant({x1,...,xn}, V) use explicit compact grid vectors.
• Full-grid construction with griddedInterpolant(X1,...,Xn,V) extracts compact grid vectors from monotone full grids.
• Evaluation supports F(xq) for 1-D data, F(xq1,...,xqn) for matching-shape query arrays, F(Xq) for row-wise N-D query points, and F({xg1,...,xgn}) for full query grids.
• Linear, nearest, next, and previous methods are supported. PCHIP and spline methods are supported for 1-D grids. Cubic, makima, and N-D higher-order interpolation are reported as unsupported instead of approximated.

Examples

Linear interpolation from explicit sample points

F = griddedInterpolant([0 1 2], [0 10 40]);
yq = F([0.5 1.5])

Expected output:

yq = [5 25]

Two-dimensional interpolation from grid vectors

F = griddedInterpolant({[0 1], [0 2]}, [0 20; 10 30]);
yq = F(0.5, 1)

Expected output:

yq = 15

Using griddedInterpolant with coding agents

Open a RunMat example with live inputs, then ask the agent to explain how griddedInterpolant changes the result.

Related Math functions

Open-source implementation

Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how griddedInterpolant is executed, line by line, in Rust.

• View the source for griddedInterpolant in Rust on GitHub
• Learn how the RunMat runtime works
• Found a bug? Open an issue with a minimal reproduction.

About RunMat

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