InterpolatingFunction

InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.

InterpolatingFunction works like Function.

InterpolatingFunction[ ... ][x] finds the value of an approximate function with a particular argument x.

In standard output format, only the domain element of an InterpolatingFunction object is printed explicitly. The remaining elements are indicated by <>.

domain specifies the domain of the data from which the InterpolatingFunction was constructed.

If you supply arguments outside of the domain, a warning is generated, and then an extrapolated value is returned.

InterpolatingFunction objects that take any number of real arguments may be constructed.

You can take derivatives of InterpolatingFunction objects using D and Derivative.

NDSolve returns its results in terms of InterpolatingFunction objects.

See Section 1.6.4, Section 2.2.8 and Section 3.8.3.

Implementation Notes: see Section A.9.4.

See also: Interpolation, CompiledFunction, FunctionInterpolation.

Related package: NumericalMath`SplineFit`.

New in Version 2; modified in 3.

Further Examples