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<html>
<head>
<title>
PLINTH - Piecewise Linear Interpolation, Hierarchical
</title>
</head>
<body bgcolor="#eeeeee" link="#cc0000" alink="#ff3300" vlink="#000055">
<h1 align = "center">
PLINTH <br> Piecewise Linear Interpolation, Hierarchical
</h1>
<hr>
<p>
<b>PLINTH</b>
is a MATLAB library which
carries out tasks associated with the interpolation of
data or a function by a hierarchical set of piecewise linear functions.
</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>PLINTH</b> is available in
<a href = "../../f_src/plinth/plinth.html">a FORTRAN90 version</a> and
<a href = "../../m_src/plinth/plinth.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/divdif/divdif.html">
DIVDIF</a>,
a MATLAB library which
computes divided difference polynomials from data;
</p>
<p>
<a href = "../../f_src/interp/interp.html">
INTERP</a>,
a FORTRAN90 library which
can be used for parameterizing and interpolating data;
</p>
<p>
<a href = "../../f_src/pppack/pppack.html">
PPPACK</a>,
a FORTRAN90 library which
defines piecewise polynomial functions,
including, in particular, cubic splines.
</p>
<p>
<a href = "../../m_src/spinterp/spinterp.html">
SPINTERP</a>,
a MATLAB library which
carries out piecewise multilinear hierarchical sparse grid interpolation;
an earlier version of this software is ACM TOMS Algorithm 847,
by Andreas Klimke;
</p>
<p>
<a href = "../../m_src/spline/spline.html">
SPLINE</a>,
a MATLAB library which
includes many routines to construct
and evaluate spline interpolants and approximants.
</p>
<p>
<a href = "../../m_src/test_approx/test_approx.html">
TEST_APPROX</a>,
a MATLAB library which
defines a number of test problems
for approximation and interpolation.
</p>
<p>
<a href = "../../m_src/toms847/toms847.html">
TOMS847</a>,
a MATLAB library which
carries out piecewise multilinear hierarchical sparse grid interpolation;
this library is commonly called SPINTERP (version 2.1);
this is ACM TOMS Algorithm 847,
by Andreas Klimke;
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "r8btree_bracket.m">r8btree_bracket.m</a>,
finds X1 <= X <= X2 from a BTREE.
</li>
<li>
<a href = "r8btree_bracket_level.m">r8btree_bracket_level.m</a>,
finds X1 <= X <= X2 from a BTREE, limiting the search depth to no more
than a given level.
</li>
<li>
<a href = "r8btree_interp.m">r8btree_interp.m</a>,
interpolates data in the BTREE.
</li>
<li>
<a href = "r8btree_interp_level.m">r8btree_interp_level.m</a>,
interpolates data in the BTREE, limiting the search depth to no more
than a given level. This results in a hierarchical family of interpolants.
</li>
<li>
<a href = "r8btree_node_add.m">r8btree_node_add.m</a>,
adds one node to a BTREE.
</li>
<li>
<a href = "r8btree_print.m">r8btree_print.m</a>,
prints a BTREE.
</li>
<li>
<a href = "r8btree_print_ordered.m">r8btree_print_ordered.m</a>,
prints the nodes of a BTREE in order.
</li>
<li>
<a href = "timestamp.m">timestamp.m</a>,
prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "p77_fun.m">p77_fun.m</a>,
a "wiggly" function used for interpolation tests.
</li>
<li>
<a href = "r8btree_bracket_test.m">r8btree_bracket_test.m</a>,
tests R8BTREE_BRACKET.
</li>
<li>
<a href = "r8btree_bracket_test_output.txt">r8btree_bracket_test_output.txt</a>,
output from R8BTREE_BRACKET_TEST.
</li>
<li>
<a href = "r8btree_bracket_level_test.m">r8btree_bracket_level_test.m</a>,
tests R8BTREE_BRACKET_LEVEL.
</li>
<li>
<a href = "r8btree_bracket_level_test_output.txt">r8btree_bracket_level_test_output.txt</a>,
output from R8BTREE_BRACKET_LEVEL_TEST.
</li>
<li>
<a href = "r8btree_interp_test.m">r8btree_interp_test.m</a>,
tests R8BTREE_INTERP.
</li>
<li>
<a href = "r8btree_interp_test_output.txt">r8btree_interp_test_output.txt</a>,
output from R8BTREE_INTERP_TEST.
</li>
<li>
<a href = "r8btree_interp_level_test.m">r8btree_interp_level_test.m</a>,
tests R8BTREE_INTERP_LEVEL.
</li>
<li>
<a href = "r8btree_interp_level_test_output.txt">r8btree_interp_level_test_output.txt</a>,
output from R8BTREE_INTERP_LEVEL_TEST.
</li>
<li>
<a href = "p77_fun.png">p77_fun.png</a>
a plot of the wiggly function P77 over [-0.5,2.5],.
</li>
<li>
<a href = "p77_fun_level0.png">p77_fun_level0.png</a>
a plot, over [-0.5,2.5], of a level 0 interpolant to P77 over [0,2].
</li>
<li>
<a href = "p77_fun_level1.png">p77_fun_level1.png</a>
a plot, over [-0.5,2.5], of a level 1 interpolant to P77 over [0,2].
</li>
<li>
<a href = "p77_fun_level2.png">p77_fun_level2.png</a>
a plot, over [-0.5,2.5], of a level 2 interpolant to P77 over [0,2].
</li>
<li>
<a href = "p77_fun_level3.png">p77_fun_level3.png</a>
a plot, over [-0.5,2.5], of a level 3 interpolant to P77 over [0,2].
</li>
<li>
<a href = "p77_fun_level4.png">p77_fun_level4.png</a>
a plot, over [-0.5,2.5], of a level 4 interpolant to P77 over [0,2].
</li>
<li>
<a href = "p77_fun_level5.png">p77_fun_level5.png</a>
a plot, over [-0.5,2.5], of a level 5 interpolant to P77 over [0,2].
</li>
<li>
<a href = "r8btree_node_add_binary_test.m">r8btree_node_add_binary_test.m</a>,
adds binary fractions to a BTREE.
</li>
<li>
<a href = "r8btree_node_add_binary_test_output.txt">r8btree_node_add_binary_test_output.txt</a>,
output from R8BTREE_NODE_ADD_BINARY_TEST.
</li>
<li>
<a href = "r8btree_node_add_random_test.m">r8btree_node_add_random_test.m</a>,
adds random numbers to a BTREE.
</li>
<li>
<a href = "r8btree_node_add_random_test_output.txt">r8btree_node_add_random_test_output.txt</a>,
output from R8BTREE_NODE_ADD_RANDOM_TEST.
</li>
<li>
<a href = "r8btree_print_ordered_test.m">r8btree_print_ordered_test.m</a>,
tests R8BTREE_PRINT_ORDERED.
</li>
<li>
<a href = "r8btree_print_ordered_test_output.txt">r8btree_print_ordered_test_output.txt</a>,
output from R8BTREE_PRINT_ORDERED_TEST.
</li>
<li>
<a href = "r8btree_print_test.m">r8btree_print_test.m</a>,
tests R8BTREE_PRINT.
</li>
<li>
<a href = "r8btree_print_test_output.txt">r8btree_print_test_output.txt</a>,
output from R8BTREE_PRINT_TEST.
</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 modified on 01 December 2009.
</i>
<!-- John Burkardt -->
</body>
</html>