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($cheb);
gsl_cheb_alloc($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 );
For more informations on the functions, we refer you to the GSL offcial documentation: http://www.gnu.org/software/gsl/manual/html_node/
Jonathan "Duke" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
Copyright (C) 2008-2011 Jonathan "Duke" Leto and Thierry Moisan
This program is free software; you can redistribute it and/or modify it under the same terms as Perl itself.
To install Math::GSL, copy and paste the appropriate command in to your terminal.
cpanm
cpanm Math::GSL
CPAN shell
perl -MCPAN -e shell install Math::GSL
For more information on module installation, please visit the detailed CPAN module installation guide.