TEST_INTERP_2D\
Test Interpolation Data Z(X,Y) of a 2D Argument {#test_interp_2d-test-interpolation-data-zxy-of-a-2d-argument align=”center”}
===============================================
TEST_INTERP_2D is a C++ library which defines test problems for
interpolation of data z(x,y) depending on a 2D argument.
TEST_INTERP_2D requires access to 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_2D is available in a C
version and a C++
version and a
FORTRAN77 version and
a FORTRAN90 version
and a MATLAB version
and a Python version.
LAGRANGE_INTERP_2D,
a C++ library which defines and evaluates the Lagrange polynomial p(x,y)
which interpolates a set of data depending on a 2D argument that was
evaluated on a product grid, so that p(x(i),y(j)) = z(i,j).
PADUA, a C++ library which returns the
points and weights for Padu sets, useful for interpolation in 2D.
GNUPLOT is used to plot the points.
PWL_INTERP_2D, a C++
library which evaluates a piecewise linear interpolant to data defined
on a regular 2D grid.
R8LIB, a C++ library which contains
many utility routines, using double precision real (R8) arithmetic.
RBF_INTERP_2D, a C++
library which defines and evaluates radial basis function (RBF)
interpolants to 2D data.
SHEPARD_INTERP_2D,
a C++ library which defines and evaluates Shepard interpolants to 2D
data, based on inverse distance weighting.
TEST_INTERP_1D, a
C++ library which defines test problems for interpolation of data y(x),
depending on a 1D argument.
TEST_INTERP_ND, a
C++ library which defines test problems for interpolation of data z(x),
depending on an M-dimensional argument.
TOMS886, a C++ library which
defines the Padua points for interpolation in a 2D region, including the
rectangle, triangle, and ellipse, by Marco Caliari, Stefano de Marchi,
Marco Vianello. This is a C++ version of ACM TOMS algorithm 886.
VANDERMONDE_INTERP_2D,
a C++ library which finds a polynomial interpolant to data z(x,y) of a
2D argument by setting up and solving a linear system for the polynomial
coefficients, involving the Vandermonde matrix.
Reference: {#reference align=”center”}
- Richard Franke,\
A Critical Comparison of Some Methods for Interpolation of Scattered
Data,\
Naval Postgraduate School Technical Report,\
NPS-53-79-003, 1979.
- Robert Renka, Ron Brown,\
Algorithm 792: Accuracy Tests of ACM Algorithms for Interpolation of
Scattered Data in the Plane,\
ACM Transactions on Mathematical Software,\
Volume 25, Number 1, March 1999, pages 78-94.
- Donald Shepard,\
A two-dimensional interpolation function for irregularly spaced
data,\
ACM ‘68: Proceedings of the 1968 23rd ACM National Conference,\
ACM, pages 517-524, 1969.
Source Code: {#source-code align=”center”}
Examples and Tests: {#examples-and-tests align=”center”}
List of Routines: {#list-of-routines align=”center”}
- F00_F0 returns the value of any function.
- F00_F1 returns first derivatives of any function.
- F00_F2 returns second derivatives of any function.
- F00_NUM returns the number of test functions available.
- F00_TITLE returns the title for any function.
- F01_F0 returns the value of function 1.
- F01_F1 returns first derivatives of function 1.
- F01_F2 returns second derivatives of function 1.
- F01_TITLE returns the title for function 1.
- F02_F0 returns the value of function 2.
- F02_F1 returns first derivatives of function 2.
- F02_F2 returns second derivatives of function 2.
- F02_TITLE returns the title for function 2.
- F03_F0 returns the value of function 3.
- F03_F1 returns first derivatives of function 3.
- F03_F2 returns second derivatives of function 3.
- F03_TITLE returns the title for function 3.
- F04_F0 returns the value of function 4.
- F04_F1 returns first derivatives of function 4.
- F04_F2 returns second derivatives of function 4.
- F04_TITLE returns the title for function 4.
- F05_F0 returns the value of function 5.
- F05_F1 returns first derivatives of function 5.
- F05_F2 returns second derivatives of function 5.
- F05_TITLE returns the title for function 5.
- F06_F0 returns the value of function 6.
- F06_F1 returns first derivatives of function 6.
- F06_F2 returns second derivatives of function 6.
- F06_TITLE returns the title for function 6.
- F07_F0 returns the value of function 7.
- F07_F1 returns first derivatives of function 7.
- F07_F2 returns second derivatives of function 7.
- F07_TITLE returns the title for function 7.
- F08_F0 returns the value of function 8.
- F08_F1 returns first derivatives of function 8.
- F08_F2 returns second derivatives of function 8.
- F08_TITLE returns the title for function 8.
- F09_F0 returns the value of function 9.
- F09_F1 returns first derivatives of function 9.
- F09_F2 returns second derivatives of function 9.
- F09_TITLE returns the title for function 9.
- F10_F0 returns the value of function 10.
- F10_F1 returns first derivatives of function 10.
- F10_F2 returns second derivatives of function 10.
- F10_TITLE returns the title for function 10.
- G00_NUM returns the number of grids available.
- G00_SIZE returns the size for any grid.
- G00_TITLE returns the title for any grid.
- G00_XY returns the grid points for any grid.
- G01_SIZE returns the size for grid 1.
- G01_TITLE returns the title for grid 1.
- G01_XY returns the grid points for grid 1.
- G02_SIZE returns the size for grid 2.
- G02_TITLE returns the title for grid 2.
- G02_XY returns the grid points for grid 2.
- G03_SIZE returns the size for grid 3.
- G03_TITLE returns the title for grid 3.
- G03_XY returns the grid points for grid 3.
- G04_SIZE returns the size for grid 4.
- G04_TITLE returns the title for grid 4.
- G04_XY returns the grid points for grid 4.
- G05_SIZE returns the size for grid 5.
- G05_TITLE returns the title for grid 5.
- G05_XY returns the grid points for grid 5.
You can go up one level to the C++ source codes.
Last revised on 05 October 2012.