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|
%perlcode %{
@EXPORT_OK = qw/
gsl_cheb_alloc
gsl_cheb_free
gsl_cheb_init
gsl_cheb_eval
gsl_cheb_eval_err
gsl_cheb_eval_n
gsl_cheb_eval_n_err
gsl_cheb_eval_mode
gsl_cheb_eval_mode_e
gsl_cheb_calc_deriv
gsl_cheb_calc_integ
/;
%EXPORT_TAGS = ( all => [ @EXPORT_OK ] );
__END__
=encoding utf8
=head1 NAME
Math::GSL::Chebyshev - Univariate Chebyshev Series Approximation
=head1 SYNOPSIS
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($cheb);
=head1 DESCRIPTION
=over
=item * C<gsl_cheb_alloc($size)>
my $cheb = gsl_cheb_alloc(50);
Allocates a new Chebyshev object with $size sample points.
=item * C<gsl_cheb_free($cheb)>
Deallocates memory associated to $cheb. Returns void.
=item * C<gsl_cheb_init($cheb,$function, $lower, $upper)>
gsl_cheb_init($cheb, sub { sin(cos($_[0])) }, 0, 10 );
Initiate a Chebyshev object with a function and upper and lower bounds.
Returns void.
=item * C<gsl_cheb_eval($function, $value)>
my $evaluated = gsl_cheb_eval($cheb, 5 );
Returns a Perl scalar of the Chebyshev object $cheb evaluated at $value.
=item * C<gsl_cheb_eval_err($cheb, $value)>
my ($status,$evaluated,$err) = gsl_cheb_eval($cheb, 5 );
Returns a list consisting of a GSL status code, the evaluate value and
the estimated error of the evaluation.
=item * C<gsl_cheb_eval_n >
=item * C<gsl_cheb_eval_n_err >
=item * C<gsl_cheb_eval_mode >
=item * C<gsl_cheb_eval_mode_e >
=item * C<gsl_cheb_calc_deriv($deriv,$cheb) >
my $status = gsl_cheb_calc_deriv( $deriv, $cheb );
This will calculate the derivative of $cheb and stores it
in $deriv, which must be pre-allocated. Returns a GSL status code.
=item * C<gsl_cheb_calc_integ($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.
=back
For more information on the functions, we refer you to the GSL official
documentation: L<http://www.gnu.org/software/gsl/manual/html_node/>
=head1 AUTHORS
Jonathan "Duke" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
=head1 COPYRIGHT AND LICENSE
Copyright (C) 2008-2024 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.
=cut
%}
|
