Math::GSL::Chebyshev - Univariate Chebyshev Series Approximation

    use Math::GSL::Chebyshev qw /:all/;

    my $cheb             = gsl_cheb_alloc(40);
    my $function         = sub { sin(cos($_[0])) };

    gsl_cheb_init($cheb, $function, 0, 10);

    my $x                = gsl_cheb_eval($cheb, 5.5 );
    my ($status,$y,$err) = gsl_cheb_eval_err($cheb, 7.5 );
    gsl_cheb_free($cheb);

Here is a list of all the functions in this module :

* gsl_cheb_alloc($size)

    my $cheb = gsl_cheb_alloc(50);

Allocates a new Chebyshev object with $size sample points.

* gsl_cheb_free($cheb)

Deallocates memory associated to $cheb. Returns void.

* gsl_cheb_init($cheb,$function, $lower, $upper)

    gsl_cheb_init($cheb, sub { sin(cos($_[0])) }, 0, 10 );

Initiate a Chebyshev object with a function and upper and lower bounds. Returns void.

* gsl_cheb_eval($function, $value)

    my $evaluated = gsl_cheb_eval($cheb, 5 );

Returns a Perl scalar of the Chebyshev object $cheb evaluated at $value.

* gsl_cheb_eval_err($cheb, $value)

    my ($status,$evaluated,$err) = gsl_cheb_eval($cheb, 5 );

Returns a list consisting of a GSL status code, the evaluate value and the estimated error of the evaluation.

* gsl_cheb_eval_n

* gsl_cheb_eval_n_err

* gsl_cheb_eval_mode

* gsl_cheb_eval_mode_e

* gsl_cheb_calc_deriv($deriv,$cheb)

   my $status = gsl_cheb_calc_deriv( $deriv, $cheb ); 

This will calculate the derivative of $cheb and stores it in $deriv, which must be pre-allocated. Returns a GSL status code.

* gsl_cheb_calc_integ($integ,$cheb)

   my $status = gsl_cheb_calc_integ( $deriv, $cheb ); 

This will calculate the derivative of $cheb and stores it in $deriv, which must be pre-allocated. Returns a GSL status code.

For more informations on the functions, we refer you to the GSL offcial documentation: http://www.gnu.org/software/gsl/manual/html_node/

 Tip : search on google: site:http://www.gnu.org/software/gsl/manual/html_node/ name_of_the_function_you_want

Jonathan Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>

Copyright (C) 2008-2009 Jonathan Leto and Thierry Moisan

This program is free software; you can redistribute it and/or modify it under the same terms as Perl itself.