GSL
The GNU Scientific Library

GSL is a directory of C++ programs which illustrate the use of the GNU Scientific Library.

GSL includes routines for

• BLAS (Basic Linear Algebra Subprogram) support;
• Chebyshev Approximation;
• Complex numbers;
• Differential Equations;
• Discrete Hankel Transforms;
• Eigenvalues and Eigenvectors;
• FFT, Fast Fourier Transforms;
• Histograms;
• IEEE Floating Point Calculations;
• Interpolation;
• Least Squares Fitting;
• Linear Algebra;
• Minimization;
• Monte Carlo Integration;
• N-Tuples;
• Numerical Differentiation;
• Permutations;
• Physical Constants;
• Quadrature (Numerical Integration);
• Quasi-Random sequences;
• Random Distributions;
• Random Number Generation;
• Root finding of general nonlinear equations;
• Roots of Polynomials;
• Series Acceleration;
• Simulated Annealing;
• Sorting;
• Special Functions
  • Airy
  • Bessel
  • Clausen
  • Coulomb
  • Coupling (Wigner 3j, 6j, 9j)
  • Dawson
  • Debye
  • Dilogarithm
  • Elliptic Integrals and Functions
  • Error Function
  • Exponential Function and Integrals
  • Fermi-Dirac Function
  • Gamma
  • Gegenbauer
  • Hypergeometric
  • Laguerre
  • Lambert W
  • Legendre Functions; Spherical Harmonics
  • Logarithm
  • Power
  • Psi or Digamma
  • Synchrotron
  • Transport
  • Trigonometric Functions
  • Zeta
• Statistics;
• Vectors and matrices;

Usage:

g++ myprog.C -lgsl -lgslcblas

compiles myprog.C and links it with GSL and the necessary BLAS routines.

Related Data and Programs:

BLAS1, a C++ library which implements the BLAS Level 1 vector-vector routines, which is included in GSL.

BLAS2, a FORTRAN90 library which implements the BLAS Level 2 matrix-vector routines, which is included in GSL.

BLAS3, a FORTRAN90 library which implements the BLAS Level 3 matrix-matrix routines, which is included in GSL.

POLPAK, a C++ library which evaluates various recursive polynomials and other special functions.

SPECFUN, a FORTRAN77 library which evaluates various special functions.

TEST_VALUES, a C++ library which returns a few values of various special functions.

Reference:

1. http://www.gnu.org/software/gsl/ the GSL home page.
2. Mark Gelassi, Jim Davies, James Tyler, Bryan Gough, Reid Priedhorsky, Gerard Jungman, Michael Booth, Fabrice Rossi,
   GNU Scientific Library Reference Manual,
   Network Theory Limited, 2005,
   ISBN: 0954612078.

Examples and Tests:

• gsl_test.cpp, a calling program;
• gsl_test.sh, commands to compile and run the calling program;
• gsl_test_output.txt, the sample output.

You can go up one level to the C++ source codes.