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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_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');
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