test_interp_fun, a Fortran90 code which defines formulas for functions used to test interpolation algorithms at arbitrary arguments.
The related packages TEST_INTERP and TEST_APPROX provide discrete data sets of (x,y) pairs. However, when the convergence rate of an interpolation process is of interest, it is important to be able to sample an underlying but "unknown" function at an increasing number of points. This library provides a few functions which are known to cause problems for certain kinds of interpolation schemes.
The information on this web page is distributed under the MIT license.
test_interp_fun is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a MATLAB version and an Octave version.
chebyshev, a Fortran90 code which computes the Chebyshev interpolant/approximant to a given function over an interval.
divdif, a Fortran90 code which includes many routines to construct and evaluate divided difference interpolants.
pppack, a Fortran90 code which implements Carl de Boor's piecewise polynomial functions, including, particularly, cubic splines.
rbf_interp, a Fortran90 code which defines and evaluates radial basis interpolants to multidimensional data.
spline, a Fortran90 code which includes many routines to construct and evaluate spline interpolants and approximants.
TEST_APPROX, a Fortran90 library which defines test problems for approximation, provided as a set of (x,y) data.
TEST_INTERP, a Fortran90 library which defines a number of test problems for interpolation, provided as a set of (x,y) data.
TEST_INTERP_2D, a Fortran90 library which defines a number of test problems for interpolation in 2D, provided as functions v = f(x,y).
TEST_INTERP_4D, a Fortran90 library which defines a number of test problems for interpolation in 4D, provided as functions v = f(w,x,y,z).
TEST_INTERP_ND, a Fortran90 library which defines test problems for interpolation of data z(x), depending on an M-dimensional argument.
TOMS446,
a Fortran90 library which
manipulates Chebyshev series for interpolation and approximation;
this is a version of ACM TOMS algorithm 446,
by Roger Broucke.