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function [ys,params,info] = evaluate_steady_state(ys_init,M,options,oo,steadystate_check_flag)
% function [ys,params,info] = evaluate_steady_state(ys_init,M,options,oo,steadystate_check_flag)
% Computes the steady state
%
% INPUTS
% ys_init vector initial values used to compute the steady
% state
% M struct model structure
% options struct options
% oo struct output results
% steadystate_check_flag boolean if true, check that the
% steadystate verifies the
% static model
%
% OUTPUTS
% ys vector steady state (in declaration order)
% params vector model parameters possibly
% modified by user steadystate
% function
% info 2x1 vector error codes
%
% SPECIAL REQUIREMENTS
% none
% Copyright (C) 2001-2017 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 <http://www.gnu.org/licenses/>.
info = 0;
check = 0;
steadystate_flag = options.steadystate_flag;
params = M.params;
exo_ss = [oo.exo_steady_state; oo.exo_det_steady_state];
if length(M.aux_vars) > 0
h_set_auxiliary_variables = str2func([M.fname '_set_auxiliary_variables']);
if ~steadystate_flag
ys_init = h_set_auxiliary_variables(ys_init,exo_ss,params);
end
end
if options.ramsey_policy
if steadystate_flag
% explicit steady state file
[ys,params,info] = evaluate_steady_state_file(ys_init,exo_ss,M, ...
options,steadystate_check_flag);
%test whether it solves model conditional on the instruments
resids = evaluate_static_model(ys,exo_ss,params,M,options);
n_multipliers=M.ramsey_eq_nbr;
nan_indices=find(isnan(resids(n_multipliers+1:end)));
if ~isempty(nan_indices)
if options.debug
fprintf('\nevaluate_steady_state: The steady state file computation for the Ramsey problem resulted in NaNs.\n')
fprintf('evaluate_steady_state: The steady state was computed conditional on the following initial instrument values: \n')
for ii = 1:size(options.instruments,1)
fprintf('\t %s \t %f \n',options.instruments(ii,:),ys_init(strmatch(options.instruments(ii,:),M.endo_names,'exact')))
end
fprintf('evaluate_steady_state: The problem occured in the following equations: \n')
fprintf('\t Equation(s): ')
for ii=1:length(nan_indices)
fprintf('%d, ',nan_indices(ii));
end
skipline()
fprintf('evaluate_steady_state: If those initial values are not admissable, change them using an initval-block.\n')
skipline(2)
end
info(1) = 84;
info(2) = resids'*resids;
return
end
if any(imag(ys(n_multipliers+1:end)))
if options.debug
fprintf('\nevaluate_steady_state: The steady state file computation for the Ramsey problem resulted in complex numbers.\n')
fprintf('evaluate_steady_state: The steady state was computed conditional on the following initial instrument values: \n')
for ii = 1:size(options.instruments,1)
fprintf('\t %s \t %f \n',options.instruments(ii,:),ys_init(strmatch(options.instruments(ii,:),M.endo_names,'exact')))
end
fprintf('evaluate_steady_state: If those initial values are not admissable, change them using an initval-block.\n')
skipline(2)
end
info(1) = 86;
info(2) = resids'*resids;
return
end
if max(abs(resids(n_multipliers+1:end))) > options.solve_tolf %does it solve for all variables except for the Lagrange multipliers
if options.debug
fprintf('\nevaluate_steady_state: The steady state file does not solve the steady state for the Ramsey problem.\n')
fprintf('evaluate_steady_state: Conditional on the following instrument values: \n')
for ii = 1:size(options.instruments,1)
fprintf('\t %s \t %f \n',options.instruments(ii,:),ys_init(strmatch(options.instruments(ii,:),M.endo_names,'exact')))
end
fprintf('evaluate_steady_state: the following equations have non-zero residuals: \n')
for ii=n_multipliers+1:M.endo_nbr
if abs(resids(ii)) > options.solve_tolf
fprintf('\t Equation number %d: %f\n',ii-n_multipliers, resids(ii))
end
end
skipline(2)
end
info(1) = 85;
info(2) = resids'*resids;
return
end
end
if options.debug
infrow=find(isinf(ys_init));
if ~isempty(infrow)
fprintf('\nevaluate_steady_state: The initial values for the steady state of the following variables are Inf:\n');
for iter=1:length(infrow)
fprintf('%s\n',M.endo_names(infrow(iter),:));
end
end
nanrow=find(isnan(ys_init));
if ~isempty(nanrow)
fprintf('\nevaluate_steady_state: The initial values for the steady state of the following variables are NaN:\n');
for iter=1:length(nanrow)
fprintf('%s\n',M.endo_names(nanrow(iter),:));
end
end
end
%either if no steady state file or steady state file without problems
[ys,params,info] = dyn_ramsey_static(ys_init,M,options,oo);
if info
return
end
%check whether steady state really solves the model
resids = evaluate_static_model(ys,exo_ss,params,M,options);
n_multipliers=M.ramsey_eq_nbr;
nan_indices_multiplier=find(isnan(resids(1:n_multipliers)));
nan_indices=find(isnan(resids(n_multipliers+1:end)));
if ~isempty(nan_indices)
if options.debug
fprintf('\nevaluate_steady_state: The steady state computation for the Ramsey problem resulted in NaNs.\n')
fprintf('evaluate_steady_state: The steady state computation resulted in the following instrument values: \n')
for i = 1:size(options.instruments,1)
fprintf('\t %s \t %f \n',options.instruments(i,:),ys(strmatch(options.instruments(i,:),M.endo_names,'exact')))
end
fprintf('evaluate_steady_state: The problem occured in the following equations: \n')
fprintf('\t Equation(s): ')
for ii=1:length(nan_indices)
fprintf('%d, ',nan_indices(ii));
end
skipline()
end
info(1) = 82;
return
end
if ~isempty(nan_indices_multiplier)
if options.debug
fprintf('\nevaluate_steady_state: The steady state computation for the Ramsey problem resulted in NaNs in the auxiliary equations.\n')
fprintf('evaluate_steady_state: The steady state computation resulted in the following instrument values: \n')
for i = 1:size(options.instruments,1)
fprintf('\t %s \t %f \n',options.instruments(i,:),ys(strmatch(options.instruments(i,:),M.endo_names,'exact')))
end
fprintf('evaluate_steady_state: The problem occured in the following equations: \n')
fprintf('\t Auxiliary equation(s): ')
for ii=1:length(nan_indices_multiplier)
fprintf('%d, ',nan_indices_multiplier(ii));
end
skipline()
end
info(1) = 83;
return
end
if max(abs(resids)) > options.solve_tolf %does it solve for all variables including the auxiliary ones
if options.debug
fprintf('\nevaluate_steady_state: The steady state for the Ramsey problem could not be computed.\n')
fprintf('evaluate_steady_state: The steady state computation stopped with the following instrument values:: \n')
for i = 1:size(options.instruments,1)
fprintf('\t %s \t %f \n',options.instruments(i,:),ys(strmatch(options.instruments(i,:),M.endo_names,'exact')))
end
fprintf('evaluate_steady_state: The following equations have non-zero residuals: \n')
for ii=1:n_multipliers
if abs(resids(ii)) > options.solve_tolf/100
fprintf('\t Auxiliary Ramsey equation number %d: %f\n',ii, resids(ii))
end
end
for ii=n_multipliers+1:M.endo_nbr
if abs(resids(ii)) > options.solve_tolf/100
fprintf('\t Equation number %d: %f\n',ii-n_multipliers, resids(ii))
end
end
skipline(2)
end
info(1) = 81;
info(2) = resids'*resids;
return
end
elseif steadystate_flag
% explicit steady state file
[ys,params,info] = evaluate_steady_state_file(ys_init,exo_ss,M, options,steadystate_check_flag);
if size(ys,2)>size(ys,1)
error('STEADY: steady_state-file must return a column vector, not a row vector.')
end
if info(1)
return
end
elseif (options.bytecode == 0 && options.block == 0)
if options.linear == 0
% non linear model
static_model = str2func([M.fname '_static']);
[ys,check] = dynare_solve(@static_problem,...
ys_init,...
options, exo_ss, params,...
M.endo_nbr,...
static_model);
if check && options.debug
[ys,check,fvec,fjac] = dynare_solve(@static_problem,...
ys_init,...
options, exo_ss, params,...
M.endo_nbr,...
static_model);
[infrow,infcol]=find(isinf(fjac) | isnan(fjac));
if ~isempty(infrow)
fprintf('\nSTEADY: The Jacobian at the initial values contains Inf or NaN. The problem arises from: \n')
display_problematic_vars_Jacobian(infrow,infcol,M,ys_init,'static','STEADY: ')
end
problematic_equation = find(~isfinite(fvec));
if ~isempty(problematic_equation)
fprintf('\nSTEADY: numerical initial values or parameters incompatible with the following equations\n')
disp(problematic_equation')
fprintf('Please check for example\n')
fprintf(' i) if all parameters occurring in these equations are defined\n')
fprintf(' ii) that no division by an endogenous variable initialized to 0 occurs\n')
end
end
else
% linear model
fh_static = str2func([M.fname '_static']);
[fvec,jacob] = fh_static(ys_init,exo_ss, ...
params);
ii = find(~isfinite(fvec));
if ~isempty(ii)
ys=fvec;
check=1;
disp(['STEADY: numerical initial values or parameters incompatible with the following' ...
' equations'])
disp(ii')
disp('Check whether your model is truly linear. Put "resid(1);" before "steady;" to see the problematic equations.')
elseif isempty(ii) && max(abs(fvec)) > 1e-12
ys = ys_init-jacob\fvec;
resid = evaluate_static_model(ys,exo_ss,params,M,options);
if max(abs(resid)) > 1e-6
check=1;
fprintf('STEADY: No steady state for your model could be found\n')
fprintf('STEADY: Check whether your model is truly linear. Put "resid(1);" before "steady;" to see the problematic equations.\n')
end
else
ys = ys_init;
end
if options.debug
if any(any(isinf(jacob) | isnan(jacob)))
[infrow,infcol]=find(isinf(jacob) | isnan(jacob));
fprintf('\nSTEADY: The Jacobian contains Inf or NaN. The problem arises from: \n\n')
for ii=1:length(infrow)
fprintf('STEADY: Derivative of Equation %d with respect to Variable %s (initial value of %s: %g) \n',infrow(ii),deblank(M.endo_names(infcol(ii),:)),deblank(M.endo_names(infcol(ii),:)),ys_init(infcol(ii)))
end
fprintf('Check whether your model is truly linear. Put "resid(1);" before "steady;" to see the problematic equations.\n')
end
end
end
else
% block or bytecode
[ys,check] = dynare_solve_block_or_bytecode(ys_init,exo_ss, params, options, M);
end
if check
info(1)= 20;
%make sure ys contains auxiliary variables in case of problem with dynare_solve
if length(M.aux_vars) > 0 && ~steadystate_flag
ys = h_set_auxiliary_variables(ys,exo_ss,params);
end
resid = evaluate_static_model(ys,exo_ss,params,M,options);
info(2) = resid'*resid ;
if isnan(info(2))
info(1)=22;
end
return
end
% If some equations are tagged [static] or [dynamic], verify consistency
if M.static_and_dynamic_models_differ
% Evaluate residual of *dynamic* model using the steady state
% computed on the *static* one
z = repmat(ys,1,M.maximum_lead + M.maximum_lag + 1);
zx = repmat([exo_ss'], M.maximum_lead + M.maximum_lag + 1, 1);
if options.bytecode
[chck, r, junk]= bytecode('dynamic','evaluate', z, zx, params, ys, 1);
mexErrCheck('bytecode', chck);
elseif options.block
[r, oo.dr] = feval([M.fname '_dynamic'], z', zx, params, ys, M.maximum_lag+1, oo.dr);
else
iyv = M.lead_lag_incidence';
iyr0 = find(iyv(:));
xys = z(iyr0);
r = feval([M.fname '_dynamic'], z(iyr0), zx, params, ys, M.maximum_lag + 1);
end
% Fail if residual greater than tolerance
if max(abs(r)) > options.solve_tolf
info(1) = 25;
return
end
end
if ~isreal(ys)
info(1) = 21;
info(2) = sum(imag(ys).^2);
ys = real(ys);
return
end
if ~isempty(find(isnan(ys)))
info(1) = 22;
info(2) = NaN;
return
end
function [resids,jac] = static_problem(y,x,params,nvar,fh_static_model)
[r,j] = fh_static_model(y,x,params);
resids = r(1:nvar);
jac = j(1:nvar,1:nvar);
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