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function [eigenvalues_,result,info] = check(M_, options_, oo_)
%[eigenvalues_,result,info] = check(M_, options_, oo_)
% Checks determinacy conditions by computing the generalized eigenvalues.
%
% INPUTS
% - M_ [structure] MATLAB's structure describing the model
% - options_ [structure] MATLAB's structure describing the current options
% - oo_ [structure] MATLAB's structure containing the results
%
% OUTPUTS
% - eigenvalues_ [double] vector, eigenvalues.
% - result [integer] logical scalar, equal to true if Blanchard and Kahn conditions are satisfied, false otherwise.
% - info [integer] scalar or vector, error code as returned by resol routine.
% Copyright © 2001-2025 Dynare Team
%
% 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 <https://www.gnu.org/licenses/>.
if ~options_.initval_file && M_.exo_nbr > 1
oo_.exo_simul = ones(M_.maximum_lead+M_.maximum_lag+1,1)*oo_.exo_steady_state';
end
options_.order = 1;
if isempty(options_.qz_criterium)
options_.qz_criterium = 1+1e-6;
end
oo_.dr=set_state_space(oo_.dr,M_);
[dr,info] = resol(1,M_,options_,oo_.dr ,oo_.steady_state, oo_.exo_steady_state, oo_.exo_det_steady_state);
if ~ismember(info(1),[0,2,3,4]) %exclude BK conditions and QZ failure (2), for 2 throw error later
print_info(info, 0, options_);
end
eigenvalues_ = dr.eigval;
[m_lambda,i]=sort(abs(eigenvalues_));
result = isfield(dr,'edim') && M_.nsfwrd == dr.edim && dr.full_rank;
if ~options_.noprint
skipline()
disp('EIGENVALUES:')
fprintf('%16s %16s %16s\n','Modulus','Real','Imaginary');
z=[m_lambda real(eigenvalues_(i)) imag(eigenvalues_(i))]';
fprintf('%16.4g %16.4g %16.4g\n',z);
if isfield(dr,'edim')
fprintf('\nThere are %d eigenvalue(s) larger than 1 in modulus ', dr.edim);
fprintf('for %d forward-looking variable(s).', M_.nsfwrd);
skipline()
if result
disp('The order and rank conditions are verified.')
elseif M_.nsfwrd ~= dr.edim
disp('The order condition is NOT verified.')
else
disp('The rank condition is NOT verified.')
end
end
skipline()
end
if info(1)==2
print_info(info, 0, options_); %print QZ error now
end
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