# This file was automatically generated by SWIG (http://www.swig.org). # Version 1.3.37 # # Don't modify this file, modify the SWIG interface instead. package Math::GSL::Sum; use base qw(Exporter); use base qw(DynaLoader); package Math::GSL::Sumc; bootstrap Math::GSL::Sum; package Math::GSL::Sum; @EXPORT = qw(); # ---------- BASE METHODS ------------- package Math::GSL::Sum; sub TIEHASH { my ($classname,$obj) = @_; return bless $obj, $classname; } sub CLEAR { } sub FIRSTKEY { } sub NEXTKEY { } sub FETCH { my ($self,$field) = @_; my $member_func = "swig_${field}_get"; $self->$member_func(); } sub STORE { my ($self,$field,$newval) = @_; my $member_func = "swig_${field}_set"; $self->$member_func($newval); } sub this { my $ptr = shift; return tied(%$ptr); } # ------- FUNCTION WRAPPERS -------- package Math::GSL::Sum; *gsl_sum_levin_u_alloc = *Math::GSL::Sumc::gsl_sum_levin_u_alloc; *gsl_sum_levin_u_free = *Math::GSL::Sumc::gsl_sum_levin_u_free; *gsl_sum_levin_u_accel = *Math::GSL::Sumc::gsl_sum_levin_u_accel; *gsl_sum_levin_u_minmax = *Math::GSL::Sumc::gsl_sum_levin_u_minmax; *gsl_sum_levin_u_step = *Math::GSL::Sumc::gsl_sum_levin_u_step; *gsl_sum_levin_utrunc_alloc = *Math::GSL::Sumc::gsl_sum_levin_utrunc_alloc; *gsl_sum_levin_utrunc_free = *Math::GSL::Sumc::gsl_sum_levin_utrunc_free; *gsl_sum_levin_utrunc_accel = *Math::GSL::Sumc::gsl_sum_levin_utrunc_accel; *gsl_sum_levin_utrunc_minmax = *Math::GSL::Sumc::gsl_sum_levin_utrunc_minmax; *gsl_sum_levin_utrunc_step = *Math::GSL::Sumc::gsl_sum_levin_utrunc_step; ############# Class : Math::GSL::Sum::gsl_sum_levin_u_workspace ############## package Math::GSL::Sum::gsl_sum_levin_u_workspace; use vars qw(@ISA %OWNER %ITERATORS %BLESSEDMEMBERS); @ISA = qw( Math::GSL::Sum ); %OWNER = (); %ITERATORS = (); *swig_size_get = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_size_get; *swig_size_set = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_size_set; *swig_i_get = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_i_get; *swig_i_set = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_i_set; *swig_terms_used_get = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_terms_used_get; *swig_terms_used_set = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_terms_used_set; *swig_sum_plain_get = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_sum_plain_get; *swig_sum_plain_set = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_sum_plain_set; *swig_q_num_get = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_q_num_get; *swig_q_num_set = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_q_num_set; *swig_q_den_get = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_q_den_get; *swig_q_den_set = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_q_den_set; *swig_dq_num_get = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_dq_num_get; *swig_dq_num_set = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_dq_num_set; *swig_dq_den_get = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_dq_den_get; *swig_dq_den_set = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_dq_den_set; *swig_dsum_get = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_dsum_get; *swig_dsum_set = *Math::GSL::Sumc::gsl_sum_levin_u_workspace_dsum_set; sub new { my $pkg = shift; my $self = Math::GSL::Sumc::new_gsl_sum_levin_u_workspace(@_); bless $self, $pkg if defined($self); } sub DESTROY { return unless $_[0]->isa('HASH'); my $self = tied(%{$_[0]}); return unless defined $self; delete $ITERATORS{$self}; if (exists $OWNER{$self}) { Math::GSL::Sumc::delete_gsl_sum_levin_u_workspace($self); delete $OWNER{$self}; } } sub DISOWN { my $self = shift; my $ptr = tied(%$self); delete $OWNER{$ptr}; } sub ACQUIRE { my $self = shift; my $ptr = tied(%$self); $OWNER{$ptr} = 1; } ############# Class : Math::GSL::Sum::gsl_sum_levin_utrunc_workspace ############## package Math::GSL::Sum::gsl_sum_levin_utrunc_workspace; use vars qw(@ISA %OWNER %ITERATORS %BLESSEDMEMBERS); @ISA = qw( Math::GSL::Sum ); %OWNER = (); %ITERATORS = (); *swig_size_get = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_size_get; *swig_size_set = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_size_set; *swig_i_get = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_i_get; *swig_i_set = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_i_set; *swig_terms_used_get = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_terms_used_get; *swig_terms_used_set = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_terms_used_set; *swig_sum_plain_get = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_sum_plain_get; *swig_sum_plain_set = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_sum_plain_set; *swig_q_num_get = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_q_num_get; *swig_q_num_set = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_q_num_set; *swig_q_den_get = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_q_den_get; *swig_q_den_set = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_q_den_set; *swig_dsum_get = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_dsum_get; *swig_dsum_set = *Math::GSL::Sumc::gsl_sum_levin_utrunc_workspace_dsum_set; sub new { my $pkg = shift; my $self = Math::GSL::Sumc::new_gsl_sum_levin_utrunc_workspace(@_); bless $self, $pkg if defined($self); } sub DESTROY { return unless $_[0]->isa('HASH'); my $self = tied(%{$_[0]}); return unless defined $self; delete $ITERATORS{$self}; if (exists $OWNER{$self}) { Math::GSL::Sumc::delete_gsl_sum_levin_utrunc_workspace($self); delete $OWNER{$self}; } } sub DISOWN { my $self = shift; my $ptr = tied(%$self); delete $OWNER{$ptr}; } sub ACQUIRE { my $self = shift; my $ptr = tied(%$self); $OWNER{$ptr} = 1; } # ------- VARIABLE STUBS -------- package Math::GSL::Sum; *GSL_MAJOR_VERSION = *Math::GSL::Sumc::GSL_MAJOR_VERSION; *GSL_MINOR_VERSION = *Math::GSL::Sumc::GSL_MINOR_VERSION; *GSL_POSZERO = *Math::GSL::Sumc::GSL_POSZERO; *GSL_NEGZERO = *Math::GSL::Sumc::GSL_NEGZERO; @EXPORT_OK = qw/ gsl_sum_levin_u_alloc gsl_sum_levin_u_free gsl_sum_levin_u_accel gsl_sum_levin_u_minmax gsl_sum_levin_u_step gsl_sum_levin_utrunc_alloc gsl_sum_levin_utrunc_free gsl_sum_levin_utrunc_accel gsl_sum_levin_utrunc_minmax gsl_sum_levin_utrunc_step /; %EXPORT_TAGS = ( all => \@EXPORT_OK ); __END__ =head1 NAME Math::GSL::Sum - Functions to accelerate the convergence of a series using the Levin u-transform. =head1 SYNOPSIS use Math::GSL::Sum qw/:all/; my $w = gsl_sum_levin_u_alloc(5); $values = [8,2,3,4,6]; my ($status, $sum_accel, $abserr) = gsl_sum_levin_u_accel($values, 5, $w); gsl_sum_levin_u_free($w); my $w2 = gsl_sum_levin_utrunc_alloc(5); my ($status2, $sum_accel2, $abserr_trunc) = gsl_sum_levin_utrunc_accel($values, 5, $w2); gsl_sum_levin_utrunc_free($w); =head1 DESCRIPTION Here is a list of all the functions included in this module : =over =item * gsl_sum_levin_u_alloc($n) - This function allocates a workspace for a Levin u-transform of $n terms. =item * gsl_sum_levin_u_free($w) - This function frees the memory associated with the workspace $w. =item * gsl_sum_levin_u_accel($array, $array_size, $w) - This function takes the terms of a series in the array reference $array of size $array_size and computes the extrapolated limit of the series using a Levin u-transform. Additional working space must be provided in $w. The function returns multiple values in this order : 0 if the operation succeeded, 1 otherwise, the extrapolated sum and an estimate of the absolute error. The actual term-by-term sum is returned in $w->{sum_plain}. The algorithm calculates the truncation error (the difference between two successive extrapolations) and round-off error (propagated from the individual terms) to choose an optimal number of terms for the extrapolation. All the terms of the series passed in through array should be non-zero. =item * gsl_sum_levin_u_minmax =item * gsl_sum_levin_u_step =item * gsl_sum_levin_utrunc_alloc($n) - This function allocates a workspace for a Levin u-transform of $n terms, without error estimation. =item * gsl_sum_levin_utrunc_free($w) - This function frees the memory associated with the workspace $w. =item * gsl_sum_levin_utrunc_accel($array, $array_size, $w) - This function takes the terms of a series in the array reference $array of size $array_size and computes the extrapolated limit of the series using a Levin u-transform. Additional working space must be provided in $w. The function returns multiple values in this order : 0 if the operation succeeded, 1 otherwise, the extrapolated sum and an estimate of the error. The actual term-by-term sum is returned in $w->{sum_plain}. The algorithm terminates when the difference between two successive extrapolations reaches a minimum or is sufficiently small. To improve the reliability of the algorithm the extrapolated values are replaced by moving averages when calculating the truncation error, smoothing out any fluctuations. =item * gsl_sum_levin_utrunc_minmax =item * gsl_sum_levin_utrunc_step =back =head1 AUTHORS Jonathan Leto and Thierry Moisan =head1 COPYRIGHT AND LICENSE 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. =cut 1;