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interp.html
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<html>
<head>
<title>
INTERP - Interpolation Routines
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
INTERP <br> Interpolation Routines
</h1>
<hr>
<p>
<b>INTERP</b>
is a FORTRAN90 program which
takes a set of data associated with successive values of
a parameter, and produces an interpolating function which can
be evaluated over a continuous range of the parameter.
</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>INTERP</b> is available in
<a href = "../../f_src/interp/interp.html">a FORTRAN90 version</a> and
<a href = "../../m_src/interp/interp.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/divdif/divdif.html">
DIVDIF</a>,
a FORTRAN90 library which
uses divided differences to interpolate data.
</p>
<p>
<a href = "../../f_src/hermite/hermite.html">
HERMITE</a>,
a FORTRAN90 library which
computes the Hermite interpolant, a polynomial that matches function values
and derivatives.
</p>
<p>
<a href = "../../f_src/nms/nms.html">
NMS</a>,
a FORTRAN90 library which
includes a package for the computation of piecewise cubic Hermite splines.
</p>
<p>
<a href = "../../f_src/pppack/pppack.html">
PPPACK</a>,
a FORTRAN90 library which
implements Carl de Boor's piecewise polynomial functions,
including, in particular, cubic splines.
</p>
<p>
<a href = "../../f_src/rbf_interp/rbf_interp.html">
RBF_INTERP</a>,
a FORTRAN90 library which
defines and evaluates radial basis interpolants to multidimensional data.
</p>
<p>
<a href = "../../f_src/spline/spline.html">
SPLINE</a>,
a FORTRAN90 library which
computes functions that approximate or interpolate data.
</p>
<p>
<a href = "../../f_src/test_approx/test_approx.html">
TEST_APPROX</a>,
a FORTRAN90 library which
defines a number of test problems for approximation and interpolation.
</p>
<p>
<a href = "../../f_src/test_interp_1d/test_interp_1d.html">
TEST_INTERP_1D</a>,
a FORTRAN90 library which
defines test problems for interpolation of data y(x),
depending on a 1D argument.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Samuel Conte, Carl deBoor,<br>
Elementary Numerical Analysis,<br>
Second Edition,<br>
McGraw Hill, 1972,<br>
ISBN: 07-012446-4,<br>
LC: QA297.C65.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "interp.f90">interp.f90</a>, the source code.
</li>
<li>
<a href = "interp.sh">interp.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "interp_prb.f90">interp_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "interp_prb.sh">interp_prb.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "interp_prb_output.txt">interp_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>CC_ABSCISSAS</b> computes the Clenshaw Curtis abscissas.
</li>
<li>
<b>CC_ABSCISSAS_AB</b> computes the Clenshaw Curtis abscissas for the interval [A,B].
</li>
<li>
<b>F1_ABSCISSAS</b> computes Fejer type 1 abscissas.
</li>
<li>
<b>F1_ABSCISSAS_AB</b> computes Fejer type 1 abscissas for the interval [A,B].
</li>
<li>
<b>F2_ABSCISSAS</b> computes Fejer Type 2 abscissas.
</li>
<li>
<b>F2_ABSCISSAS_AB</b> computes Fejer Type 2 abscissas for the interval [A,B].
</li>
<li>
<b>INTERP_LAGRANGE:</b> Lagrange polynomial interpolation to a curve in M dimensions.
</li>
<li>
<b>INTERP_LINEAR:</b> piecewise linear interpolation to a curve in M dimensions.
</li>
<li>
<b>INTERP_NEAREST:</b> Nearest neighbor interpolation to a curve in M dimensions.
</li>
<li>
<b>LAGRANGE_VALUE</b> evaluates the Lagrange polynomials.
</li>
<li>
<b>NCC_ABSCISSAS</b> computes the Newton Cotes Closed abscissas.
</li>
<li>
<b>NCC_ABSCISSAS_AB</b> computes the Newton Cotes Closed abscissas for [A,B].
</li>
<li>
<b>NCO_ABSCISSAS</b> computes the Newton Cotes Open abscissas.
</li>
<li>
<b>NCO_ABSCISSAS_AB</b> computes the Newton Cotes Open abscissas for [A,B].
</li>
<li>
<b>PARAMETERIZE_ARC_LENGTH</b> parameterizes data by pseudo-arclength.
</li>
<li>
<b>PARAMETERIZE_INDEX</b> parameterizes data by its index.
</li>
<li>
<b>R8MAT_EXPAND_LINEAR2</b> expands an R8MAT by linear interpolation.
</li>
<li>
<b>R8VEC_ASCENDS_STRICTLY</b> determines if an R8VEC is strictly ascending.
</li>
<li>
<b>R8VEC_BRACKET</b> searches a sorted R8VEC for successive brackets of a value.
</li>
<li>
<b>R8VEC_EXPAND_LINEAR</b> linearly interpolates new data into an R8VEC.
</li>
<li>
<b>R8VEC_EXPAND_LINEAR2</b> linearly interpolates new data into an R8VEC.
</li>
<li>
<b>R8VEC_SORTED_NEAREST</b> returns the nearest element in a sorted R8VEC.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 01 July 2012.
</i>
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