Represent real functions by linear or cubic polynomial segments. The package provides both data structures for efficient lookup of interpolation intervals, and computation of basis functions.
There are two examples that can be built with
cabal install -fbuildExamples
example/Plot.hs: Interpolate a sinus curve using piecewise linear interpolation and piecewise Hermite cubic interpolation. For the latter one we provide the derivatives of the sinus function at the interpolation nodes.
example/Fit.hs: Demonstrates how to use the basis functions for fitting an interpolation function to a given function using a linear least squares solver like
lapack. We use a distorted sinus as target.
The package needs only Haskell 98. Most of the package dependencies are only needed for the examples and are only installed if you enable to build them.
* Hermite1 interpolation: different order of coefficients
Interleave node values and derivatives
in order to get a narrow banded Gramian matrix
from a sampled interpolation basis.
Rename from 'cubic' to 'hermite1'.