File: check_fem.m

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% Copyright (C) 2005-2016 Julien Pommier.
%
% This file is a part of GetFEM++
%
% GetFEM++  is  free software;  you  can  redistribute  it  and/or modify it
% under  the  terms  of the  GNU  Lesser General Public License as published
% by  the  Free Software Foundation;  either version 3 of the License,  or
% (at your option) any later version along with the GCC Runtime Library
% Exception either version 3.1 or (at your option) any later version.
% This program  is  distributed  in  the  hope  that it will be useful,  but
% WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
% or  FITNESS  FOR  A PARTICULAR PURPOSE.  See the GNU Lesser General Public
% License and GCC Runtime Library Exception for more details.
% You  should  have received a copy of the GNU Lesser General Public License
% along  with  this program;  if not, write to the Free Software Foundation,
% Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301, USA.


function check_fem(iverbose,idebug)
  global gverbose;
  global gdebug;  
  if (nargin >= 1),
    gverbose = iverbose;
    if (nargin == 2),
      gdebug = idebug;
    else 
      gdebug = 0; end;
  else 
    gverbose = 0;
  end;
  gf_workspace('clear all');
  f=gf_fem('FEM_PK(3,4)');
  dim = gf_fem_get(f,'dim');
  gfassert('dim==3');
  tdim = gf_fem_get(f,'target_dim');  
  gfassert('tdim==1');
  nbd = gf_fem_get(f,'nbdof');
  gfassert('nbd==35');
  is_pol=gf_fem_get(f,'is_polynomial');
  gfassert('is_pol');
  is_lag=gf_fem_get(f,'is_lagrange');
  gfassert('is_lag');
  is_equ=gf_fem_get(f,'is_equivalent');
  gfassert('is_equ');
  p = gf_fem_get(f,'pts');
  gfassert('size(p)==[3 35]');
  ed=gf_fem_get(f,'estimated_degree');
  gfassert('ed==4');
  
  Z=[5 -8 3 0 0 -8 12 -4 0 3 -4 1 0 0 0 -8 12 -4 0 12 -16 4 -4 4 0 3 -4 1 -4 ...
     4 1 0 0 0 0]';
  z=gf_fem_get(f,'base_value',[.5;.5;.5]);
  gfassert('norm(Z-z) < 1e-13');
  asserterr('gf_fem_get(f,''base_value'',[.5;.5])');
  DZ=[77 -152 84 -8 -1 -104 192 -96 8 30 -48 18 0 0 0 -104 192 -96 8 120 -192 ...
      72 -24 24 0 30 -48 18 -24 24 0 0 0 0 0 77 -104 30 0 0 -152 192 -48 0 ...
      84 -96 18 -8 8 -1 -104 120 -24 0 192 -192 24 -96 72 8 30 -24 0 -48 24 ...
      18 0 0 0 0 77 -104 30 0 0 -104 120 -24 0 30 -24 0 0 0 0 -152 192 -48 0 ...
      192 -192 24 -48 24 0 84 -96 18 -96 72 18 -8 8 8 -1];  
  dz=gf_fem_get(f,'grad_base_value',[.5;.5;.5]);
  gfassert('norm(DZ(:)-dz(:)*3) < 1e-12'); % 2.8432e-13 on sgi O2K / CC debug mode
  gfassert('size(dz)==[35 1 3]');
  HZ=[284 -704 552 -128 -4 -288 672 -480 96 48 -96 48 0 0 0 -288 672 -480 96 ...
      192 -384 192 0 0 0 48 -96 48 0 0 0 0 0 0 0 284 -496 228 -16 0 -496 816 ...
      -336 16 228 -336 108 -16 16 0 -288 432 -144 0 432 -576 144 -144 144 0 ...
      48 -48 0 -48 48 0 0 0 0 0 284 -496 228 -16 0 -288 432 -144 0 48 -48 0 ...
      0 0 0 -496 816 -336 16 432 -576 144 -48 48 0 228 -336 108 -144 144 0 ...
      -16 16 0 0 284 -496 228 -16 0 -496 816 -336 16 228 -336 108 -16 16 0 ...
      -288 432 -144 0 432 -576 144 -144 144 0 48 -48 0 -48 48 0 0 0 0 0 284 ...
      -288 48 0 0 -704 672 -96 0 552 -480 48 -128 96 -4 -288 192 0 0 672 -384 ...
      0 -480 192 96 48 0 0 -96 0 48 0 0 0 0 284 -288 48 0 0 -496 432 -48 0 ...
      228 -144 0 -16 0 0 -496 432 -48 0 816 -576 48 -336 144 16 228 -144 0 ...
      -336 144 108 -16 0 16 0 284 -496 228 -16 0 -288 432 -144 0 48 -48 0 0 ...
      0 0 -496 816 -336 16 432 -576 144 -48 48 0 228 -336 108 -144 144 0 -16 ...
      16 0 0 284 -288 48 0 0 -496 432 -48 0 228 -144 0 -16 0 0 -496 432 -48 ...
      0 816 -576 48 -336 144 16 228 -144 0 -336 144 108 -16 0 16 0 284 -288 ...
      48 0 0 -288 192 0 0 48 0 0 0 0 0 -704 672 -96 0 672 -384 0 -96 0 0 552 ...
      -480 48 -480 192 48 -128 96 96 -4];
  hz=gf_fem_get(f,'hess_base_value',[.5;.5;.5]);
  gfassert('norm(HZ(:)-hz(:)*3) < 1e-12'); % 7.9986e-13 on sgi O2K / CC debug mode
  gfassert('size(hz)==[35 1 3 3]');

  f=gf_fem('FEM_HERMITE(1)');
  f=gf_fem('FEM_HERMITE(3)');
  f=gf_fem('FEM_PK_DISCONTINUOUS(2,1)');
  f=gf_fem('FEM_P1_NONCONFORMING');
  f=gf_fem('FEM_PK_WITH_CUBIC_BUBBLE(2,1)'); return;
  ed=gf_fem_get(f,'estimated_degree');
  gfassert('ed==3');
  asserterr('gf_fem(''FEM_PK_WITH_CUBIC_BUBBLE(2,4)'')');
  f=gf_fem('FEM_PK_PRISM_HIERARCHICAL(3,3)');
  nbd = gf_fem_get(f,'nbdof');
  gfassert('nbd==40');
  is_pol=gf_fem_get(f,'is_polynomial');
  gfassert('is_pol');
  is_lag=gf_fem_get(f,'is_lagrange');
  gfassert('~is_lag');
  is_equ=gf_fem_get(f,'is_equivalent');
  gfassert('is_equ');
  P = [0 0 0 3 0 0 0 3 0 1 0 0 2 0 0 0 1 0 1 1 0 2 1 0 0 2 0 1 2 0 0 0 3 3 0 ...
       3 0 3 3 1 0 3 2 0 3 0 1 3 1 1 3 2 1 3 0 2 3 1 2 3 0 0 1 3 0 1 0 3 1 1 ...
       0 1 2 0 1 0 1 1 1 1 1 2 1 1 0 2 1 1 2 1 0 0 2 3 0 2 0 3 2 1 0 2 2 0 2 ...
       0 1 2 1 1 2 2 1 2 0 2 2 1 2 2];
  p = gf_fem_get(f,'pts');
  gfassert('norm(P(:)-p(:)*3)<1e-15'); % exactly 0 on sgi O2K
  ed=gf_fem_get(f,'estimated_degree');
  gfassert('ed==6');