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<html>
<head>
<title>
TEST_INTERP_1D - Test Functions Y(X) for Interpolation of a 1D Argument
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TEST_INTERP_1D <br> Test Functions Y(X) for Interpolation of a 1D Argument
</h1>
<hr>
<p>
<b>TEST_INTERP_1D</b>
is a MATLAB library which
defines test functions y(x) that may be used to test interpolation algorithms
involving a 1D argument x.
</p>
<p>
<b>TEST_INTERP_1D</b> requires access to a compiled copy of the R8LIB library.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>TEST_INTERP_1D</b> is available in
<a href = "../../c_src/test_interp_1d/test_interp_1d.html">a C version</a> and
<a href = "../../cpp_src/test_interp_1d/test_interp_1d.html">a C++ version</a> and
<a href = "../../f77_src/test_interp_1d/test_interp_1d.html">a FORTRAN77 version</a> and
<a href = "../../f_src/test_interp_1d/test_interp_1d.html">a FORTRAN90 version</a> and
<a href = "../../m_src/test_interp_1d/test_interp_1d.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/barycentric_interp_1d/barycentric_interp_1d.html">
BARYCENTRIC_INTERP_1D</a>,
a MATLAB 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.
</p>
<p>
<a href = "../../m_src/chebyshev_interp_1d/chebyshev_interp_1d.html">
CHEBYSHEV_INTERP_1D</a>,
a MATLAB library which
determines the combination of Chebyshev polynomials which
interpolates a set of data, so that p(x(i)) = y(i).
</p>
<p>
<a href = "../../m_src/lagrange_interp_1d/lagrange_interp_1d.html">
LAGRANGE_INTERP_1D</a>,
a MATLAB library which
defines and evaluates the Lagrange polynomial p(x)
which interpolates a set of data, so that p(x(i)) = y(i).
</p>
<p>
<a href = "../../m_src/nearest_interp_1d/nearest_interp_1d.html">
NEAREST_INTERP_1D</a>,
a MATLAB library which
interpolates a set of data using a piecewise constant interpolant
defined by the nearest neighbor criterion.
</p>
<p>
<a href = "../../m_src/pwl_interp_1d/pwl_interp_1d.html">
PWL_INTERP_1D</a>,
a MATLAB library which
interpolates a set of data using a piecewise linear interpolant.
</p>
<p>
<a href = "../../m_src/r8lib/r8lib.html">
R8LIB</a>,
a MATLAB library which
contains many utility routines using double precision real (R8) arithmetic.
</p>
<p>
<a href = "../../m_src/rbf_interp_1d/rbf_interp_1d.html">
RBF_INTERP_1D</a>,
a MATLAB library which
defines and evaluates radial basis function (RBF) interpolants to 1D data.
</p>
<p>
<a href = "../../m_src/shepard_interp_1d/shepard_interp_1d.html">
SHEPARD_INTERP_1D</a>,
a MATLAB library which
defines and evaluates Shepard interpolants to 1D data,
based on inverse distance weighting.
</p>
<p>
<a href = "../../m_src/test_interp_2d/test_interp_2d.html">
TEST_INTERP_2D</a>,
a MATLAB library which
defines test problems for interpolation of data z(x,y),
depending on a 2D argument.
</p>
<p>
<a href = "../../m_src/test_interp_nd/test_interp_nd.html">
TEST_INTERP_ND</a>,
a MATLAB library which
defines test problems for interpolation of data z(x),
depending on an M-dimensional argument.
</p>
<p>
<a href = "../../m_src/vandermonde_interp_1d/vandermonde_interp_1d.html">
VANDERMONDE_INTERP_1D</a>,
a MATLAB 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.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Philip Davis,<br>
Interpolation and Approximation,<br>
Dover, 1975,<br>
ISBN: 0-486-62495-1,<br>
LC: QA221.D33
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "p00_f.m">p00_f.m</a>,
evaluates the function for any problem.
</li>
<li>
<a href = "p00_plot.m">p00_plot.m</a>,
creates a plot of any problem.
</li>
<li>
<a href = "p00_prob_num.m">p00_prob_num.m</a>,
returns the number of test problems.
</li>
<li>
<a href = "p00_title.m">p00_title.m</a>,
prints the title for any problem.
</li>
<li>
<a href = "p01_f.m">p01_f.m</a>,
returns the function for problem p01.
</li>
<li>
<a href = "p01_title.m">p01_title.m</a>,
returns the title for problem p01.
</li>
<li>
<a href = "p02_f.m">p02_f.m</a>,
returns the function for problem p02.
</li>
<li>
<a href = "p02_title.m">p02_title.m</a>,
returns the title for problem p02.
</li>
<li>
<a href = "p03_f.m">p03_f.m</a>,
returns the function for problem p03.
</li>
<li>
<a href = "p03_title.m">p03_title.m</a>,
returns the title for problem p03.
</li>
<li>
<a href = "p04_f.m">p04_f.m</a>,
returns the function for problem p04.
</li>
<li>
<a href = "p04_title.m">p04_title.m</a>,
returns the title for problem p04.
</li>
<li>
<a href = "p05_f.m">p05_f.m</a>,
returns the function for problem p05.
</li>
<li>
<a href = "p05_title.m">p05_title.m</a>,
returns the title for problem p05.
</li>
<li>
<a href = "p06_f.m">p06_f.m</a>,
returns the function for problem p06.
</li>
<li>
<a href = "p06_title.m">p06_title.m</a>,
returns the title for problem p06.
</li>
<li>
<a href = "p07_f.m">p07_f.m</a>,
returns the function for problem p07.
</li>
<li>
<a href = "p07_title.m">p07_title.m</a>,
returns the title for problem p07.
</li>
<li>
<a href = "p08_f.m">p08_f.m</a>,
returns the function for problem p08.
</li>
<li>
<a href = "p08_title.m">p08_title.m</a>,
returns the title for problem p08.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "test_interp_1d_test.m">test_interp_1d_test.m</a>,
a sample calling program.
</li>
<li>
<a href = "test_interp_1d_test01.m">test_interp_1d_test01.m</a>,
calls P00_TITLE to print the title of each function.
</li>
<li>
<a href = "test_interp_1d_test02.m">test_interp_1d_test02.m</a>,
calls P00_F to evaluate each function at sample points.
</li>
<li>
<a href = "test_interp_1d_test03.m">test_interp_1d_test03.m</a>,
calls P00_PLOT to plot each function.
</li>
<li>
<a href = "test_interp_1d_test_output.txt">test_interp_1d_test_output.txt</a>,
the output file.
</li>
</ul>
</p>
<p>
<b>test_interp_1d_test03</b> plots each function:
<ul>
<li>
<a href = "p01_plot.png">p01_plot.png</a>
</li>
<li>
<a href = "p02_plot.png">p02_plot.png</a>
</li>
<li>
<a href = "p03_plot.png">p03_plot.png</a>
</li>
<li>
<a href = "p04_plot.png">p04_plot.png</a>
</li>
<li>
<a href = "p05_plot.png">p05_plot.png</a>
</li>
<li>
<a href = "p06_plot.png">p06_plot.png</a>
</li>
<li>
<a href = "p07_plot.png">p07_plot.png</a>
</li>
<li>
<a href = "p08_plot.png">p08_plot.png</a>
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 07 August 2012.
</i>
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