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TEST_INTERP_1D\ Test Functions Y(X) for Interpolation of a 1D Argument {#test_interp_1d-test-functions-yx-for-interpolation-of-a-1d-argument align=”center”} ======================================================

TEST_INTERP_1D is a C++ library which defines test functions y(x) that may be used to test interpolation algorithms involving a 1D argument x.

TEST_INTERP_1D requires access to a compiled copy of the R8LIB library.

Licensing: {#licensing align=”center”}

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages: {#languages align=”center”}

TEST_INTERP_1D is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

BARYCENTRIC_INTERP_1D, a C++ library which defines and evaluates the barycentric Lagrange polynomial p(x) which interpolates a set of data, so that p(x(i)) = y(i). The barycentric approach means that very high degree polynomials can safely be used.

BERNSTEIN_POLYNOMIAL, a C++ library which evaluates the Bernstein polynomials, useful for uniform approximation of functions;

CHEBYSHEV_INTERP_1D, a C++ library which determines the combination of Chebyshev polynomials which interpolates a set of data, so that p(x(i)) = y(i).

LAGRANGE_INTERP_1D, a C++ library which defines and evaluates the Lagrange polynomial p(x) which interpolates a set of data, so that p(x(i)) = y(i).

NEAREST_INTERP_1D, a C++ library which interpolates a set of data using a piecewise constant interpolant defined by the nearest neighbor criterion.

NEWTON_INTERP_1D, a C++ library which finds a polynomial interpolant to data using Newton divided differences.

PWL_INTERP_1D, a C++ library which interpolates a set of data using a piecewise linear function.

R8LIB, a C++ library which contains many utility routines using double precision real (R8) arithmetic.

RBF_INTERP_1D, a C++ library which defines and evaluates radial basis function (RBF) interpolants to 1D data.

SHEPARD_INTERP_1D, a C++ library which defines and evaluates Shepard interpolants to 1D data, based on inverse distance weighting.

TEST_INTERP_2D, a C++ library which defines test problems for interpolation of data z(x,y), depending on a 2D argument.

TEST_INTERP_ND, a C++ library which defines test problems for interpolation of data z(x), depending on an M-dimensional argument.

VANDERMONDE_INTERP_1D, a C library which finds a polynomial interpolant to data y(x) of a 1D argument, by setting up and solving a linear system for the polynomial coefficients, involving the Vandermonde matrix.

Reference: {#reference align=”center”}

Philip Davis,\ Interpolation and Approximation,\ Dover, 1975,\ ISBN: 0-486-62495-1,\ LC: QA221.D33

Source Code: {#source-code align=”center”}

test_interp_1d.cpp, the source code.
test_interp_1d.hpp, the include file.

Examples and Tests: {#examples-and-tests align=”center”}

test_interp_1d_prb.cpp, a sample calling program.
test_interp_1d_prb_output.txt, the output file.

List of Routines: {#list-of-routines align=”center”}

P00_F evaluates the function for any problem.
P00_PROB_NUM returns the number of problems.
P00_TITLE returns the title of any problem.
P01_F evaluates the function for problem p01.
P01_TITLE returns the title of problem p01.
P02_F evaluates the function for problem p01.
P02_TITLE returns the title of problem p02.
P03_F evaluates the function for problem p03.
P03_TITLE returns the title of problem p03.
P04_F evaluates the function for problem p04.
P04_TITLE returns the title of problem p04.
P05_F evaluates the function for problem p05.
P05_TITLE returns the title of problem p05.
P06_F evaluates the function for problem p06.
P06_TITLE returns the title of problem p06.
P07_F evaluates the function for problem p07.
P07_TITLE returns the title of problem p07.
P08_F evaluates the function for problem p08.
P08_TITLE returns the title of problem p08.

You can go up one level to the C++ source codes.

Last revised on 07 October 2012.