% 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_spmat(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');
  if (0),
    asserterr('gf_spmat(''empty'',-5)');
    asserterr('gf_spmat(''empty'',2:3)');
    asserterr('gf_spmat(''empty'',0)');
  end;
  % TEST EMPTY COPY FULL
  A = gf_spmat('empty', 5,6);
  B = gf_spmat('empty', 11111);
  C = gf_spmat('copy', A);
  C = sprand(50,50,.1); C(2,2)=1+2i; I = 1:40; J = [6 7 8 3 10];
  D = gf_spmat('copy', C, I, J);
  DD = gf_spmat_get(D,'full');
  gfassert('all(DD==C(I,J))');
  asserterr('gf_spmat(D,''full'',100)');
  asserterr('gf_spmat(D,''full'',10,-1)');
  
  % TEST MULT
  A = gf_spmat('identity', 11111);
  C = gf_spmat('mult',A,B);
  n = gf_spmat_get(C,'nnz'); gfassert('n==0');
  C = gf_spmat('mult',A,A);
  n = gf_spmat_get(C,'nnz'); gfassert('n==11111');
  M1=sprand(50,43,.1); M2=sprand(43,14,.3);
  C = gf_spmat('mult',M1,M2);
  C = gf_spmat_get(C, 'full');
  P = full(M1*M2);
  gfassert('max(max(abs(C-P)))<1e-13');
  asserterr('gf_spmat(''mult'',M2,M1);');

  %TEST ADD
  d = rand(1,size(P,1));
  D = gf_spmat('diag', d');
  M1 = sprand(50,50,.1); C(2,2)=1+2i;
  M2 = sprand(50,50,.1); C(2,2)=1+2i;  
  C = gf_spmat('add',M1, M2);
  C = gf_spmat_get(C, 'full');

  gfassert('max(max(abs(C-full(M1+M2))))<1e-13');
  C = gf_spmat('add',M1, real(M2));
  C = gf_spmat_get(C, 'full');
  gfassert('max(max(abs(C-full(M1+real(M2)))))<1e-13');
  
  % TEST DIAG
  K=gf_spmat('diag', [1 1; 2 3; 4 5; 6 7],[0 -2],6,9);
  % NNZ
  gf_spmat_get(K,'full');
%  gfassert('gf_spmat_get(K,''nnz'')==8');
  
  cK=gf_spmat('diag', [1 1i; 2 3i; 4 5; 6i 7; 5 5; 6 -2],[0 -1],6,9);
  gfassert('gf_spmat_get(cK,''nnz'')==11');  
  C = gf_spmat('add',K,cK);
  gfassert('gf_spmat_get(C,''is_complex'')');
  
  % MULT VECTOR
  fK=gf_spmat_get(K,'full');
  fcK=gf_spmat_get(cK,'full');
  V6=rand(6,1); V9=rand(9,1);
  W6=gf_spmat_get(K,'mult',V9);
  gf_spmat_get(K, 'full');
  W9=gf_spmat_get(K,'tmult',V6);
  gfassert('max(abs(W6(:)-fK*V9))<1e-13');
  gfassert('max(abs(W9(:)-fK''*V6))<1e-13');
  W6=gf_spmat_get(cK,'mult',V9);
  W9=gf_spmat_get(cK,'tmult',V6);
  gfassert('max(abs(W6(:)-fcK*V9))<1e-13');
  gfassert('max(abs(W9(:)-fcK''*V6))<1e-13');
  V6=rand(6,1) + 1i*rand(6,1); V9=rand(9,1) + 1i*rand(9,1);
  asserterr('gf_spmat_get(K,''mult'',V9)');
  W6=gf_spmat_get(cK,'mult',V9);
  W9=gf_spmat_get(cK,'tmult',V6);
  gfassert('max(abs(W6(:)-fcK*V9))<1e-13');
  gfassert('max(abs(W9(:)-fcK''*V6))<1e-13');

  % STORAGE, SIZE, IS_COMPLEX, CSC_IND CSC_VAL
  gf_spmat_get(cK, 'storage');
  gfassert('gf_spmat_get(cK, ''size'')==[6 9]');
  gfassert('gf_spmat_get(sparse(fcK), ''size'')==[6 9]');
  [jc,ir]=gf_spmat_get(cK, 'csc_ind');
  v=gf_spmat_get(cK, 'csc_val');
  
  % CLEAR
  gf_spmat_set(K, 'to_wsc'); gf_spmat_set(cK, 'to_wsc');  
  KK=gf_spmat('copy',K); gf_spmat_set(KK,'clear');
  gfassert('gf_spmat_get(KK,''nnz'')==0');
  KK=gf_spmat('copy',cK); gf_spmat_set(KK,'clear');
  gfassert('gf_spmat_get(KK,''nnz'')==0');
  
  
  for i=1:20, 
    if (mod(i,2)==0),
      gf_spmat_set(K, 'to_wsc'); 
    else gf_spmat_set(K, 'to_csc'); end;
    KK=gf_spmat('copy',cK); gf_spmat_set(KK,'scale',int32(-1));
    C = gf_spmat('add',cK,KK);
    gfassert('gf_spmat_get(C,''nnz'')==0');
    C=gf_spmat('copy',cK); gf_spmat_set(C,'transpose');
    gfassert('all(gf_spmat_get(C,''full'')==fcK.'')');
    C=gf_spmat('copy',cK); gf_spmat_set(C,'transconj');
    gfassert('all(gf_spmat_get(C,''full'')==fcK'')');
    C=gf_spmat('copy',cK); gf_spmat_set(C,'conjugate');
    gfassert('all(gf_spmat_get(C,''full'')==conj(fcK))');
  end;
  
  gf_spmat_set(cK,'to_complex');
  C=gf_spmat('copy',K); gf_spmat_set(C,'to_complex');
  gfassert('gf_spmat_get(C,''is_complex'')');
  gf_spmat_set(C,'clear');

  B=[1 1 1 1 1 2;6 5 4 3 2 1;7 8 5 3 2 1]';
  gf_spmat_set(C,'diag', B(:,1));
  gf_spmat_set(C,'diag', B(:,2:3), [-2 +2]);
  CC=full(spdiags(B, [0 -2 2], 6, 9));
  P=gf_spmat_get(C,'full');
  gfassert('all(CC==P)');
  L1=gf_spmat_get(C,'diag', [0 -2 2]);
  L2=spdiags(sparse(CC),[0 -2 2]);
  gfassert('L1==L2');
  
  
  K=sprand(50,50,.1) + 20*speye(50); K(2,3)=.4;
  gK=gf_spmat('copy',K);
  gf_spmat_set(gK, 'to_csc');
  %asserterr('gf_spmat_set(gK, ''assign'', 1, 1, 1)');
  gf_spmat_set(gK, 'to_wsc');
  gf_spmat_set(gK, 'assign', 2, 2, 1+2i);
  
  gf_spmat_set(gK, 'add', 2, 2:4, 2i*ones(1,3));
  A=gf_spmat_get(gK, 'full', 2, 2:4);
  B=full(K(2,2:4)); B(1)=1+2i; B=B+2i;
  gfassert('max(abs(A-B))<1e-13');
  
  gf_workspace('clear all')
  m=gf_mesh('cartesian',[1:30],[1:30]);
  mf=gf_mesh_fem(m,1);
  gf_mesh_fem_set(mf,'classical fem', 1);
  mim=gf_mesh_im(m, 0); % integration of degree 0
  A=gf_asm('laplacian',mim,mf,mf,ones(1,gf_mesh_fem_get(mf,'nbdof')));
  A=A+.1*speye(size(A,1));
  B=rand(gf_mesh_fem_get(mf,'nbdof'),1);
  [L,U]=luinc(A,'0');
  X1=gf_linsolve('cg',A,B);
  mm=gf_spmat('copy',inv(L));
  p=gf_precond('spmat',mm);
  gf_workspace('stats')
  X2=gf_linsolve('cg',A,B,gf_precond('spmat',speye(size(A))));
  gfassert('norm(X1-X2)<1e-13');
