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function [pnames, enames, xnames, pid, eid, xid] = get_variables_and_parameters_in_equation(lhs, rhs, DynareModel)
% Returns the lists of parameters, endogenous variables and exogenous variables in an equation.
%
% INPUTS
% - lhs [string] Left hand side of an equation.
% - rhs [string] Right hand side of an equation.
% - DynareModel [struct] Structure describing the current model (M_).
%
% OUTPUTS
% - pnames [cell] Cell of row char arrays (p elements), names of the parameters.
% - enames [cell] Cell of row char arrays (n elements), names of the endogenous variables.
% - xnames [cell] Cell of row char arrays (m elements), names of the exogenous variables.
% - pid [Integer] p*1 vector of indices in M_.param_names for the listed parameters in params.
% - eid [Integer] n*1 vector of indices in M_.endo_names for the listed parameters in endogenous.
% - xid [Integer] m*1 vector of indices in M_.exo_names for the listed parameters in exogenous.
% Copyright (C) 2018-2020 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/>.
% Get the tokens in the rhs member of the equation.
rhs_ = get_variables_and_parameters_in_expression(rhs);
% Get the tokens in the lhs member of the equation.
lhs_ = get_variables_and_parameters_in_expression(lhs);
% Get list of parameters.
pnames = DynareModel.param_names;
pnames = intersect([rhs_, lhs_], pnames);
% Get list of endogenous variables.
enames = DynareModel.endo_names;
enames = intersect([rhs_, lhs_], enames);
% Get list of exogenous variables
xnames = DynareModel.exo_names;
xnames = intersect([rhs_,lhs_], xnames);
% Returns vector of indices for parameters endogenous and exogenous
% variables if required.
if nargout>3
p = length(pnames);
pid = zeros(p, 1);
for i = 1:p
pid(i) = find(strcmp(pnames{i}, DynareModel.param_names));
end
p = length(enames);
eid = zeros(p, 1);
for i = 1:p
eid(i) = find(strcmp(enames{i}, DynareModel.endo_names));
end
p = length(xnames);
xid = zeros(p, 1);
for i = 1:p
xid(i) = find(strcmp(xnames{i}, DynareModel.exo_names));
end
end
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