Integration.i

   1 %module "Math::GSL::Integration"
   2 %{
   3     #include "gsl/gsl_integration.h"
   4 %}
   5
   6 %include "typemaps.i"
   7 %include "gsl_typemaps.i"
   8 %include "gsl/gsl_integration.h"
   9
  10 %perlcode %{
  11 @EXPORT_OK = qw/
  12                gsl_integration_workspace_alloc
  13                gsl_integration_workspace_free
  14                gsl_integration_qaws_table_alloc
  15                gsl_integration_qaws_table_set
  16                gsl_integration_qaws_table_free
  17                gsl_integration_qawo_table_alloc
  18                gsl_integration_qawo_table_set
  19                gsl_integration_qawo_table_set_length
  20                gsl_integration_qawo_table_free
  21                gsl_integration_qk15
  22                gsl_integration_qk21
  23                gsl_integration_qk31
  24                gsl_integration_qk41
  25                gsl_integration_qk51
  26                gsl_integration_qk61
  27                gsl_integration_qcheb
  28                gsl_integration_qk
  29                gsl_integration_qng
  30                gsl_integration_qag
  31                gsl_integration_qagi
  32                gsl_integration_qagiu
  33                gsl_integration_qagil
  34                gsl_integration_qags
  35                gsl_integration_qagp
  36                gsl_integration_qawc
  37                gsl_integration_qaws
  38                gsl_integration_qawo
  39                gsl_integration_qawf
  40                $GSL_INTEG_COSINE
  41                $GSL_INTEG_SINE
  42                $GSL_INTEG_GAUSS15
  43                $GSL_INTEG_GAUSS21
  44                $GSL_INTEG_GAUSS31
  45                $GSL_INTEG_GAUSS41
  46                $GSL_INTEG_GAUSS51
  47                $GSL_INTEG_GAUSS61
  48              /;
  49 %EXPORT_TAGS = ( all => [ @EXPORT_OK ] );
  50
  51 __END__
  52
  53 =head1 NAME
  54
  55 Math::GSL::Integration - Routines for performing numerical integration (quadrature) of a function in one dimension
  56
  57 =head1 SYNOPSIS
  58
  59 This module is not yet implemented. Patches Welcome!
  60
  61     use Math::GSL::Integration qw /:all/;
  62
  63 =head1 DESCRIPTION
  64
  65 Here is a list of all the functions in this module :
  66
  67 =over
  68
  69 =item * C<gsl_integration_workspace_alloc >
  70
  71 =item * C<gsl_integration_workspace_free >
  72
  73 =item * C<gsl_integration_qaws_table_alloc >
  74
  75 =item * C<gsl_integration_qaws_table_set >
  76
  77 =item * C<gsl_integration_qaws_table_free >
  78
  79 =item * C<gsl_integration_qawo_table_alloc >
  80
  81 =item * C<gsl_integration_qawo_table_set >
  82
  83 =item * C<gsl_integration_qawo_table_set_length >
  84
  85 =item * C<gsl_integration_qawo_table_free >
  86
  87 =item * C<gsl_integration_qk15 >
  88
  89 =item * C<gsl_integration_qk21 >
  90
  91 =item * C<gsl_integration_qk31 >
  92
  93 =item * C<gsl_integration_qk41 >
  94
  95 =item * C<gsl_integration_qk51 >
  96
  97 =item * C<gsl_integration_qk61 >
  98
  99 =item * C<gsl_integration_qcheb >
 100
 101 =item * C<gsl_integration_qk >
 102
 103 =item * C<gsl_integration_qng >
 104
 105 =item * C<gsl_integration_qag >
 106
 107 =item * C<gsl_integration_qagi >
 108
 109 =item * C<gsl_integration_qagiu >
 110
 111 =item * C<gsl_integration_qagil >
 112
 113 =item * C<gsl_integration_qags($func,$a,$b,$epsabs,$epsrel,$limit,$workspace)>
 114
 115     ($status, $result, $abserr) = gsl_integration_qags (
 116                             sub { 1/$_[0]} ,
 117                             1, 10, 0, 1e-7, 1000,
 118                             $workspace,
 119                         );
 120
 121  This function applies the Gauss-Kronrod 21-point integration rule
 122  adaptively until an estimate of the integral of $func over ($a,$b) is
 123  achieved within the desired absolute and relative error limits,
 124  $epsabs and $epsrel.
 125
 126
 127 =item * C<gsl_integration_qagp >
 128
 129 =item * C<gsl_integration_qawc >
 130
 131 =item * C<gsl_integration_qaws >
 132
 133 =item * C<gsl_integration_qawo >
 134
 135 =item * C<gsl_integration_qawf >
 136
 137 =back
 138
 139 This module also includes the following constants :
 140
 141 =over
 142
 143 =item * $GSL_INTEG_COSINE
 144
 145 =item * $GSL_INTEG_SINE
 146
 147 =item * $GSL_INTEG_GAUSS15
 148
 149 =item * $GSL_INTEG_GAUSS21
 150
 151 =item * $GSL_INTEG_GAUSS31
 152
 153 =item * $GSL_INTEG_GAUSS41
 154
 155 =item * $GSL_INTEG_GAUSS51
 156
 157 =item * $GSL_INTEG_GAUSS61
 158
 159 =back
 160
 161 For more informations on the functions, we refer you to the GSL offcial
 162 documentation: L<http://www.gnu.org/software/gsl/manual/html_node/>
 163
 164 Tip : search on google: site:http://www.gnu.org/software/gsl/manual/html_node/ name_of_the_function_you_want
 165
 166
 167 =head1 AUTHORS
 168
 169 Jonathan Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
 170
 171 =head1 COPYRIGHT AND LICENSE
 172
 173 Copyright (C) 2008 Jonathan Leto and Thierry Moisan
 174
 175 This program is free software; you can redistribute it and/or modify it
 176 under the same terms as Perl itself.
 177
 178 =cut
 179
 180 %}