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function [D, err] = A_times_B_kronecker_C(A,B,C,fake)
%@info:
%! @deftypefn {Function File} {[@var{D}, @var{err}] =} A_times_B_kronecker_C (@var{A},@var{B},@var{C},@var{fake})
%! @anchor{kronecker/A_times_B_kronecker_C}
%! @sp 1
%! Computes A*kron(B,C).
%! @sp 2
%! @strong{Inputs}
%! @sp 1
%! @table @ @var
%! @item A
%! mA*nA matrix of doubles.
%! @item B
%! mB*nB matrix of doubles.
%! @item C
%! mC*nC matrix of doubles.
%! @item fake
%! Anything you want, just a fake parameter (because the mex version admits a last argument specifying the number of threads to be used in parallel mode).
%! @end table
%! @sp 2
%! @strong{Outputs}
%! @sp 1
%! @table @ @var
%! @item D
%! mA*(nC*nB) or mA*(nB*nB) matrix of doubles.
%! @item err
%! Integer scalar equal to zero (if all goes well).
%! @end table
%! @sp 2
%! @strong{Remarks}
%! @sp 1
%! [1] This routine is called by Dynare if and only the mex version is not compiled (also used for testing purposes).
%! @sp 1
%! [2] This routine can be called with three or four arguments. In the first case A*kron(B,B) is computed.
%! @sp 2
%! @strong{This function is called by:}
%! @sp 1
%! @ref{kronecker/sparse_hessian_times_B_kronecker_C}, @ref{dr1}, @ref{simult_}
%! @sp 2
%! @strong{This function calls:}
%!
%! @end deftypefn
%@eod:
% Copyright (C) 1996-2011 Dynare Team
% stephane DOT adjemian AT univ DASH lemans DOT fr
%
% This file is part of Dynare.
%
% Dynare is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% Dynare 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 General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
% Chek number of inputs and outputs.
if nargin>4 || nargin<3
error('A_times_B_kronecker_C takes 3 or 4 input arguments and provides 2 output arguments.')
end
% Get & check dimensions. Initialization of the output matrix.
[mA,nA] = size(A);
[mB,nB] = size(B);
if nargin == 4
[mC,nC] = size(C);
if mB*mC ~= nA
error('Input dimension error!')
end
D = zeros(mA,nB*nC);
loop = (mB*nB*mC*nC > 1e7);
else
if mB*mB ~= nA
error('Input dimension error!')
end
D = zeros(mA,nB*nB);
loop = (mB*nB*mB*nB > 1e7);
end
% Computational part.
if loop
if nargin == 4
k1 = 1;
for i1=1:nB
for i2=1:nC
D(:,k1) = A * kron(B(:,i1),C(:,i2));
k1 = k1 + 1;
end
end
else
k1 = 1;
for i1=1:nB
for i2=1:nB
D(:,k1) = A * kron(B(:,i1),B(:,i2));
k1 = k1 + 1;
end
end
end
else
if nargin == 4
D = A * kron(B,C);
else
D = A * kron(B,B);
end
end
err = 0;
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