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<html>
<head>
<title>
GSL - The GNU Scientific Library
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
GSL <br> The GNU Scientific Library
</h1>
<hr>
<p>
<b>GSL</b>
is a directory of C++ programs which
illustrate the use of the GNU Scientific Library.
</p>
<p>
<b>GSL</b> includes routines for
<ul>
<li>
BLAS (Basic Linear Algebra Subprogram) support;
</li>
<li>
Chebyshev Approximation;
</li>
<li>
Complex numbers;
</li>
<li>
Differential Equations;
</li>
<li>
Discrete Hankel Transforms;
</li>
<li>
Eigenvalues and Eigenvectors;
</li>
<li>
FFT, Fast Fourier Transforms;
</li>
<li>
Histograms;
</li>
<li>
IEEE Floating Point Calculations;
</li>
<li>
Interpolation;
</li>
<li>
Least Squares Fitting;
</li>
<li>
Linear Algebra;
</li>
<li>
Minimization;
</li>
<li>
Monte Carlo Integration;
</li>
<li>
N-Tuples;
</li>
<li>
Numerical Differentiation;
</li>
<li>
Permutations;
</li>
<li>
Physical Constants;
</li>
<li>
Quadrature (Numerical Integration);
</li>
<li>
Quasi-Random sequences;
</li>
<li>
Random Distributions;
</li>
<li>
Random Number Generation;
</li>
<li>
Root finding of general nonlinear equations;
</li>
<li>
Roots of Polynomials;
</li>
<li>
Series Acceleration;
</li>
<li>
Simulated Annealing;
</li>
<li>
Sorting;
</li>
<li>
Special Functions
<ul>
<li>
Airy
</li>
<li>
Bessel
</li>
<li>
Clausen
</li>
<li>
Coulomb
</li>
<li>
Coupling (Wigner 3j, 6j, 9j)
</li>
<li>
Dawson
</li>
<li>
Debye
</li>
<li>
Dilogarithm
</li>
<li>
Elliptic Integrals and Functions
</li>
<li>
Error Function
</li>
<li>
Exponential Function and Integrals
</li>
<li>
Fermi-Dirac Function
</li>
<li>
Gamma
</li>
<li>
Gegenbauer
</li>
<li>
Hypergeometric
</li>
<li>
Laguerre
</li>
<li>
Lambert W
</li>
<li>
Legendre Functions; Spherical Harmonics
</li>
<li>
Logarithm
</li>
<li>
Power
</li>
<li>
Psi or Digamma
</li>
<li>
Synchrotron
</li>
<li>
Transport
</li>
<li>
Trigonometric Functions
</li>
<li>
Zeta
</li>
</ul>
</li>
<li>
Statistics;
</li>
<li>
Vectors and matrices;
</li>
</ul>
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<dl>
<dt>
<b>g++</b> <i>myprog.C</i> <b>-lgsl -lgslcblas</b>
</dt>
<dd>
compiles <i>myprog.C</i> and links it with <b>GSL</b> and
the necessary <b>BLAS</b> routines.
</dd>
</dl>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/blas1/blas1.html">
BLAS1</a>,
a C++ library which
implements the BLAS Level 1 vector-vector routines,
which is included in GSL.
</p>
<p>
<a href = "../../f_src/blas2/blas2.html">
BLAS2</a>,
a FORTRAN90 library which
implements the BLAS Level 2 matrix-vector routines,
which is included in GSL.
</p>
<p>
<a href = "../../f_src/blas3/blas3.html">
BLAS3</a>,
a FORTRAN90 library which
implements
the BLAS Level 3 matrix-matrix routines,
which is included in GSL.
</p>
<p>
<a href = "../../cpp_src/polpak/polpak.html">
POLPAK</a>,
a C++ library which
evaluates various recursive
polynomials and other special functions.
</p>
<p>
<a href = "../../f77_src/specfun/specfun.html">
SPECFUN</a>,
a FORTRAN77 library which
evaluates various special functions.
</p>
<p>
<a href = "../../cpp_src/test_values/test_values.html">
TEST_VALUES</a>,
a C++ library which
returns a few values of various special functions.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
<a href = "http://www.gnu.org/software/gsl/">
http://www.gnu.org/software/gsl/</a>
the GSL home page.
</li>
<li>
Mark Gelassi, Jim Davies, James Tyler, Bryan Gough,
Reid Priedhorsky, Gerard Jungman, Michael Booth, Fabrice Rossi,<br>
GNU Scientific Library Reference Manual,<br>
Network Theory Limited, 2005,<br>
ISBN: 0954612078.
</li>
</ol>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "gsl_test.cpp">gsl_test.cpp</a>, a calling program;
</li>
<li>
<a href = "gsl_test.sh">gsl_test.sh</a>, commands
to compile and run the calling program;
</li>
<li>
<a href = "gsl_test_output.txt">gsl_test_output.txt</a>, the sample output.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 31 August 2005.
</i>
<!-- John Burkardt -->
</body>
</html>