v4: fixed eignevalues for deterministic problems

git-svn-id: https://www.dynare.org/svn/dynare/dynare_v4@1006 ac1d8469-bf42-47a9-8791-bf33cf982152
time-shift
michel 2006-10-29 17:28:57 +00:00
parent 708052184f
commit 8fa53ec34b
2 changed files with 127 additions and 118 deletions

View File

@ -1,16 +1,33 @@
% Copyright (C) 2001 Michel Juillard
%
function [dr,info]=dr1(dr,task)
global M_ options_ oo_
% function dr = dr1(dr,task)
% finds the state vector for structural state space representation
% sets many fields of dr
%
% INPUTS
% dr: structure of decision rules for stochastic simulations
% task = 0: computes decision rules
% task = 1: computes eigenvalues
%
% OUTPUTS
% dr: structure of decision rules for stochastic simulations
% info = 1: the model doesn't define current variables uniquely
% info = 2: problem in mjdgges.dll info(2) contains error code
% info = 3: BK order condition not satisfied info(2) contains "distance"
% absence of stable trajectory
% info = 4: BK order condition not satisfied info(2) contains "distance"
% indeterminacy
% info = 5: BK rank condition not satisfied
%
% ALGORITHM
% ...
% SPECIAL REQUIREMENTS
% none
%
%
% part of DYNARE, copyright S. Adjemian, M. Juillard (1996-2006)
% Gnu Public License.
global olr_state
% info = 1: the model doesn't define current variables uniquely
% info = 2: problem in mjdgges.dll info(2) contains error code
% info = 3: BK order condition not satisfied info(2) contains "distance"
% absence of stable trajectory
% info = 4: BK order condition not satisfied info(2) contains "distance"
% indeterminacy
% info = 5: BK rank condition not satisfied
global M_ options_ oo_ olr_state
@ -22,8 +39,8 @@ global olr_state
options_ = set_default_option(options_,'olr_beta',1);
options_ = set_default_option(options_,'qz_criterium',1.000001);
xlen = M_.maximum_lead + M_.maximum_lag + 1;
klen = M_.maximum_lag + M_.maximum_lead + 1;
xlen = M_.maximum_endo_lead + M_.maximum_endo_lag + 1;
klen = M_.maximum_endo_lag + M_.maximum_endo_lead + 1;
iyv = M_.lead_lag_incidence';
iyv = iyv(:);
iyr0 = find(iyv) ;
@ -60,8 +77,8 @@ if options_.olr
if ~isfield(olr_state_,'done')
olr_state_.done = 1;
olr_state_.old_M_.maximum_lag = M_.maximum_lag;
olr_state_.old_M_.maximum_lead = M_.maximum_lead;
olr_state_.old_M_.maximum_endo_lag = M_.maximum_endo_lag;
olr_state_.old_M_.maximum_endo_lead = M_.maximum_endo_lead;
olr_state_.old_M_.endo_nbr = M_.endo_nbr;
olr_state_.old_M_.lead_lag_incidence = M_.lead_lag_incidence;
@ -70,18 +87,18 @@ if options_.olr
lgoo_.endo_simul = strvcat(lgoo_.endo_simul,temp);
end
M_.endo_nbr = 2*M_.endo_nbr-n_inst;
M_.maximum_lag = max(M_.maximum_lag,M_.maximum_lead);
M_.maximum_lead = M_.maximum_lag;
M_.maximum_endo_lag = max(M_.maximum_endo_lag,M_.maximum_endo_lead);
M_.maximum_endo_lead = M_.maximum_endo_lag;
end
nj = olr_state_.old_M_.endo_nbr-n_inst;
offset_min = M_.maximum_lag - olr_state_.old_M_.maximum_lag;
offset_max = M_.maximum_lead - olr_state_.old_M_.maximum_lead;
newiy = zeros(2*M_.maximum_lag+1,nj+olr_state_.old_M_.endo_nbr);
offset_min = M_.maximum_endo_lag - olr_state_.old_M_.maximum_endo_lag;
offset_max = M_.maximum_endo_lead - olr_state_.old_M_.maximum_endo_lead;
newiy = zeros(2*M_.maximum_endo_lag+1,nj+olr_state_.old_M_.endo_nbr);
jacobia_ = jacobia_(1:nj,:);
for i=1:2*M_.maximum_lag+1
if i > offset_min & i <= 2*M_.maximum_lag+1-offset_max
for i=1:2*M_.maximum_endo_lag+1
if i > offset_min & i <= 2*M_.maximum_endo_lag+1-offset_max
[junk,k1,k2] = find(olr_state_.old_M_.lead_lag_incidence(i-offset_min,:));
if i == M_.maximum_lag+1
if i == M_.maximum_endo_lag+1
jacobia1 = [jacobia1 [jacobia_(:,k2); 2*options_.olr_w]];
else
jacobia1 = [jacobia1 [jacobia_(:,k2); ...
@ -89,12 +106,12 @@ if options_.olr
end
newiy(i,k1) = ones(1,length(k1));
end
i1 = 2*M_.maximum_lag+2-i;
if i1 <= 2*M_.maximum_lag+1-offset_max & i1 > offset_min
i1 = 2*M_.maximum_endo_lag+2-i;
if i1 <= 2*M_.maximum_endo_lag+1-offset_max & i1 > offset_min
[junk,k1,k2] = find(olr_state_.old_M_.lead_lag_incidence(i1-offset_min,:));
k3 = find(any(jacobia_(:,k2),2));
x = zeros(olr_state_.old_M_.endo_nbr,length(k3));
x(k1,:) = bet^(-i1+M_.maximum_lag+1)*jacobia_(k3,k2)';
x(k1,:) = bet^(-i1+M_.maximum_endo_lag+1)*jacobia_(k3,k2)';
jacobia1 = [jacobia1 [zeros(nj,length(k3)); x]];
newiy(i,k3+olr_state_.old_M_.endo_nbr) = ones(1,length(k3));
end
@ -103,9 +120,9 @@ if options_.olr
zeros(olr_state_.old_M_.endo_nbr, M_.exo_nbr)]];
newiy = newiy';
newiy = find(newiy(:));
M_.lead_lag_incidence = zeros(M_.endo_nbr*(M_.maximum_lag+M_.maximum_lead+1),1);
M_.lead_lag_incidence = zeros(M_.endo_nbr*(M_.maximum_endo_lag+M_.maximum_endo_lead+1),1);
M_.lead_lag_incidence(newiy) = [1:length(newiy)]';
M_.lead_lag_incidence =reshape(M_.lead_lag_incidence,M_.endo_nbr,M_.maximum_lag+M_.maximum_lead+1)';
M_.lead_lag_incidence =reshape(M_.lead_lag_incidence,M_.endo_nbr,M_.maximum_endo_lag+M_.maximum_endo_lead+1)';
jacobia_ = jacobia1;
clear jacobia1
% computes steady state
@ -114,7 +131,7 @@ if options_.olr
dr.ys =[dr.ys; zeros(nj,1)];
else
AA = zeros(M_.endo_nbr,M_.endo_nbr);
for i=1:M_.maximum_lag+M_.maximum_lead+1
for i=1:M_.maximum_endo_lag+M_.maximum_endo_lead+1
[junk,k1,k2] = find(M_.lead_lag_incidence(i,:));
AA(:,k1) = AA(:,k1)+jacobia_(:,k2);
end
@ -123,7 +140,7 @@ if options_.olr
end
% end of code section for Optimal Linear Regulator
klen = M_.maximum_lag + M_.maximum_lead + 1;
klen = M_.maximum_endo_lag + M_.maximum_endo_lead + 1;
dr=set_state_space(dr);
kstate = dr.kstate;
kad = dr.kad;
@ -138,15 +155,15 @@ nz = nnz(M_.lead_lag_incidence);
sdyn = M_.endo_nbr - nstatic;
k0 = M_.lead_lag_incidence(M_.maximum_lag+1,order_var);
k1 = M_.lead_lag_incidence(find([1:klen] ~= M_.maximum_lag+1),:);
k0 = M_.lead_lag_incidence(M_.maximum_endo_lag+1,order_var);
k1 = M_.lead_lag_incidence(find([1:klen] ~= M_.maximum_endo_lag+1),:);
b = jacobia_(:,k0);
if M_.maximum_lead == 0; % backward models
if M_.maximum_endo_lead == 0; % backward models
a = jacobia_(:,nonzeros(k1'));
dr.ghx = zeros(size(a));
m = 0;
for i=M_.maximum_lag:-1:1
for i=M_.maximum_endo_lag:-1:1
k = nonzeros(M_.lead_lag_incidence(i,order_var));
dr.ghx(:,m+[1:length(k)]) = -b\a(:,k);
m = m+length(k);
@ -191,13 +208,13 @@ clear aa;
d = zeros(nd,nd) ;
e = d ;
k = find(kstate(:,2) >= M_.maximum_lag+2 & kstate(:,3));
k = find(kstate(:,2) >= M_.maximum_endo_lag+2 & kstate(:,3));
d(1:sdyn,k) = a(nstatic+1:end,kstate(k,3)) ;
k1 = find(kstate(:,2) == M_.maximum_lag+2);
k1 = find(kstate(:,2) == M_.maximum_endo_lag+2);
e(1:sdyn,k1) = -b2(:,kstate(k1,1)-nstatic);
k = find(kstate(:,2) <= M_.maximum_lag+1 & kstate(:,4));
k = find(kstate(:,2) <= M_.maximum_endo_lag+1 & kstate(:,4));
e(1:sdyn,k) = -a(nstatic+1:end,kstate(k,4)) ;
k2 = find(kstate(:,2) == M_.maximum_lag+1);
k2 = find(kstate(:,2) == M_.maximum_endo_lag+1);
k2 = k2(~ismember(kstate(k2,1),kstate(k1,1)));
d(1:sdyn,k2) = b2(:,kstate(k2,1)-nstatic);
@ -231,7 +248,7 @@ else
nba = nd-sdim;
end
nyf = sum(kstate(:,2) > M_.maximum_lag+1);
nyf = sum(kstate(:,2) > M_.maximum_endo_lag+1);
if task == 1
dr.rank = rank(w(1:nyf,nd-nyf+1:end));
@ -271,8 +288,8 @@ end
hx = w(1:n3,1:np)'*gx+w(n4:nd,1:np)';
hx = (tt(1:np,1:np)*hx)\(ss(1:np,1:np)*hx);
k1 = find(kstate(n4:nd,2) == M_.maximum_lag+1);
k2 = find(kstate(1:n3,2) == M_.maximum_lag+2);
k1 = find(kstate(n4:nd,2) == M_.maximum_endo_lag+1);
k2 = find(kstate(1:n3,2) == M_.maximum_endo_lag+2);
dr.ghx = [hx(k1,:); gx(k2(nboth+1:end),:)];
%lead variables actually present in the model
@ -300,7 +317,7 @@ if nstatic > 0
end
if options_.loglinear == 1
k = find(dr.kstate(:,2) <= M_.maximum_lag+1);
k = find(dr.kstate(:,2) <= M_.maximum_endo_lag+1);
klag = dr.kstate(k,[1 2]);
k1 = dr.order_var;
@ -319,8 +336,8 @@ end
%exogenous deterministic variables
if M_.exo_det_nbr > 0
f1 = sparse(jacobia_(:,nonzeros(M_.lead_lag_incidence(M_.maximum_lag+2:end,order_var))));
f0 = sparse(jacobia_(:,nonzeros(M_.lead_lag_incidence(M_.maximum_lag+1,order_var))));
f1 = sparse(jacobia_(:,nonzeros(M_.lead_lag_incidence(M_.maximum_endo_lag+2:end,order_var))));
f0 = sparse(jacobia_(:,nonzeros(M_.lead_lag_incidence(M_.maximum_endo_lag+1,order_var))));
fudet = sparse(jacobia_(:,nz+M_.exo_nbr+1:end));
M1 = inv(f0+[zeros(M_.endo_nbr,nstatic) f1*gx zeros(M_.endo_nbr,nyf-nboth)]);
M2 = M1*f1;
@ -339,9 +356,9 @@ end
%tempex = oo_.exo_simul ;
%hessian = real(hessext('ff1_',[z; oo_.exo_steady_state]))' ;
kk = flipud(cumsum(flipud(M_.lead_lag_incidence(M_.maximum_lag+1:end,order_var)),1));
if M_.maximum_lag > 0
kk = [cumsum(M_.lead_lag_incidence(1:M_.maximum_lag,order_var),1); kk];
kk = flipud(cumsum(flipud(M_.lead_lag_incidence(M_.maximum_endo_lag+1:end,order_var)),1));
if M_.maximum_endo_lag > 0
kk = [cumsum(M_.lead_lag_incidence(1:M_.maximum_endo_lag,order_var),1); kk];
end
kk = kk';
kk = find(kk(:));
@ -365,19 +382,19 @@ n1 = 0;
n2 = np;
zx = zeros(np,np);
zu=zeros(np,M_.exo_nbr);
for i=2:M_.maximum_lag+1
for i=2:M_.maximum_endo_lag+1
k1 = sum(kstate(:,2) == i);
zx(n1+1:n1+k1,n2-k1+1:n2)=eye(k1);
n1 = n1+k1;
n2 = n2-k1;
end
kk = flipud(cumsum(flipud(M_.lead_lag_incidence(M_.maximum_lag+1:end,order_var)),1));
kk = flipud(cumsum(flipud(M_.lead_lag_incidence(M_.maximum_endo_lag+1:end,order_var)),1));
k0 = [1:M_.endo_nbr];
gx1 = dr.ghx;
hu = dr.ghu(nstatic+[1:npred],:);
zx = [zx; gx1];
zu = [zu; dr.ghu];
for i=1:M_.maximum_lead
for i=1:M_.maximum_endo_lead
k1 = find(kk(i+1,k0) > 0);
zu = [zu; gx1(k1,1:npred)*hu];
gx1 = gx1(k1,:)*hx;
@ -403,14 +420,14 @@ end
rhs = -rhs;
%lhs
n = M_.endo_nbr+sum(kstate(:,2) > M_.maximum_lag+1 & kstate(:,2) < M_.maximum_lag+M_.maximum_lead+1);
n = M_.endo_nbr+sum(kstate(:,2) > M_.maximum_endo_lag+1 & kstate(:,2) < M_.maximum_endo_lag+M_.maximum_endo_lead+1);
A = zeros(n,n);
B = zeros(n,n);
A(1:M_.endo_nbr,1:M_.endo_nbr) = jacobia_(:,M_.lead_lag_incidence(M_.maximum_lag+1,order_var));
A(1:M_.endo_nbr,1:M_.endo_nbr) = jacobia_(:,M_.lead_lag_incidence(M_.maximum_endo_lag+1,order_var));
% variables with the highest lead
k1 = find(kstate(:,2) == M_.maximum_lag+M_.maximum_lead+1);
if M_.maximum_lead > 1
k2 = find(kstate(:,2) == M_.maximum_lag+M_.maximum_lead);
k1 = find(kstate(:,2) == M_.maximum_endo_lag+M_.maximum_endo_lead+1);
if M_.maximum_endo_lead > 1
k2 = find(kstate(:,2) == M_.maximum_endo_lag+M_.maximum_endo_lead);
[junk,junk,k3] = intersect(kstate(k1,1),kstate(k2,1));
else
k2 = [1:M_.endo_nbr];
@ -421,8 +438,8 @@ B(1:M_.endo_nbr,end-length(k2)+k3) = jacobia_(:,kstate(k1,3)+M_.endo_nbr);
offset = M_.endo_nbr;
k0 = [1:M_.endo_nbr];
gx1 = dr.ghx;
for i=1:M_.maximum_lead-1
k1 = find(kstate(:,2) == M_.maximum_lag+i+1);
for i=1:M_.maximum_endo_lead-1
k1 = find(kstate(:,2) == M_.maximum_endo_lag+i+1);
[k2,junk,k3] = find(kstate(k1,3));
A(1:M_.endo_nbr,offset+k2) = jacobia_(:,k3+M_.endo_nbr);
n1 = length(k1);
@ -441,7 +458,7 @@ for i=1:M_.maximum_lead-1
k0 = k1;
offset = offset + n1;
end
[junk,k1,k2] = find(M_.lead_lag_incidence(M_.maximum_lag+M_.maximum_lead+1,order_var));
[junk,k1,k2] = find(M_.lead_lag_incidence(M_.maximum_endo_lag+M_.maximum_endo_lead+1,order_var));
A(1:M_.endo_nbr,nstatic+1:nstatic+npred)=...
A(1:M_.endo_nbr,nstatic+[1:npred])+jacobia_(:,k2)*gx1(k1,1:npred);
C = hx;
@ -472,7 +489,7 @@ if n1*n1*n2*M_.exo_nbr > 1e7
else
rhs = hessian*kron(zx,zu);
end
nyf1 = sum(kstate(:,2) == M_.maximum_lag+2);
nyf1 = sum(kstate(:,2) == M_.maximum_endo_lag+2);
hu1 = [hu;zeros(np-npred,M_.exo_nbr)];
%B1 = [B(1:M_.endo_nbr,:);zeros(size(A,1)-M_.endo_nbr,size(B,2))];
rhs = -[rhs; zeros(n-M_.endo_nbr,size(rhs,2))]-B*dr.ghxx*kron(hx,hu1);
@ -513,45 +530,45 @@ dr.ghuu = dr.ghuu(1:M_.endo_nbr,:);
% reordering predetermined variables in diminishing lag order
O1 = zeros(M_.endo_nbr,nstatic);
O2 = zeros(M_.endo_nbr,M_.endo_nbr-nstatic-npred);
LHS = jacobia_(:,M_.lead_lag_incidence(M_.maximum_lag+1,order_var));
LHS = jacobia_(:,M_.lead_lag_incidence(M_.maximum_endo_lag+1,order_var));
RHS = zeros(M_.endo_nbr,M_.exo_nbr^2);
kk = find(kstate(:,2) == M_.maximum_lag+2);
kk = find(kstate(:,2) == M_.maximum_endo_lag+2);
gu = dr.ghu;
guu = dr.ghuu;
Gu = [dr.ghu(nstatic+[1:npred],:); zeros(np-npred,M_.exo_nbr)];
Guu = [dr.ghuu(nstatic+[1:npred],:); zeros(np-npred,M_.exo_nbr*M_.exo_nbr)];
E = eye(M_.endo_nbr);
M_.lead_lag_incidenceordered = flipud(cumsum(flipud(M_.lead_lag_incidence(M_.maximum_lag+1:end,order_var)),1));
if M_.maximum_lag > 0
M_.lead_lag_incidenceordered = [cumsum(M_.lead_lag_incidence(1:M_.maximum_lag,order_var),1); M_.lead_lag_incidenceordered];
M_.lead_lag_incidenceordered = flipud(cumsum(flipud(M_.lead_lag_incidence(M_.maximum_endo_lag+1:end,order_var)),1));
if M_.maximum_endo_lag > 0
M_.lead_lag_incidenceordered = [cumsum(M_.lead_lag_incidence(1:M_.maximum_endo_lag,order_var),1); M_.lead_lag_incidenceordered];
end
M_.lead_lag_incidenceordered = M_.lead_lag_incidenceordered';
M_.lead_lag_incidenceordered = M_.lead_lag_incidenceordered(:);
k1 = find(M_.lead_lag_incidenceordered);
M_.lead_lag_incidenceordered(k1) = [1:length(k1)]';
M_.lead_lag_incidenceordered =reshape(M_.lead_lag_incidenceordered,M_.endo_nbr,M_.maximum_lag+M_.maximum_lead+1)';
M_.lead_lag_incidenceordered =reshape(M_.lead_lag_incidenceordered,M_.endo_nbr,M_.maximum_endo_lag+M_.maximum_endo_lead+1)';
kh = reshape([1:nk^2],nk,nk);
kp = sum(kstate(:,2) <= M_.maximum_lag+1);
kp = sum(kstate(:,2) <= M_.maximum_endo_lag+1);
E1 = [eye(npred); zeros(kp-npred,npred)];
H = E1;
hxx = dr.ghxx(nstatic+[1:npred],:);
for i=1:M_.maximum_lead
for j=i:M_.maximum_lead
[junk,k2a,k2] = find(M_.lead_lag_incidence(M_.maximum_lag+j+1,order_var));
[junk,k3a,k3] = find(M_.lead_lag_incidenceordered(M_.maximum_lag+j+1,:));
for i=1:M_.maximum_endo_lead
for j=i:M_.maximum_endo_lead
[junk,k2a,k2] = find(M_.lead_lag_incidence(M_.maximum_endo_lag+j+1,order_var));
[junk,k3a,k3] = find(M_.lead_lag_incidenceordered(M_.maximum_endo_lag+j+1,:));
RHS = RHS + jacobia_(:,k2)*guu(k2a,:)+hessian(:,kh(k3,k3))* ...
kron(gu(k3a,:),gu(k3a,:));
end
% LHS
[junk,k2a,k2] = find(M_.lead_lag_incidence(M_.maximum_lag+i+1,order_var));
[junk,k2a,k2] = find(M_.lead_lag_incidence(M_.maximum_endo_lag+i+1,order_var));
LHS = LHS + jacobia_(:,k2)*(E(k2a,:)+[O1(k2a,:) dr.ghx(k2a,:)*H O2(k2a,:)]);
if i == M_.maximum_lead
if i == M_.maximum_endo_lead
break
end
kk = find(kstate(:,2) == M_.maximum_lag+i+1);
kk = find(kstate(:,2) == M_.maximum_endo_lag+i+1);
gu = dr.ghx*Gu;
GuGu = kron(Gu,Gu);
guu = dr.ghx*Guu+dr.ghxx*GuGu;
@ -619,30 +636,6 @@ if M_.exo_det_nbr > 0
end
end
% 01/08/2001 MJ put return on iorder == 1 after defining dr.kstate and dr.kdyn
% 01/17/2001 MJ added dr.delta_s: correction factor for order = 2
% 01/21/2001 FC correction of delta_s for more than 1 shock
% 01/23/2001 MJ suppression of redundant sum() in delta_s formula
% 02/22/2001 MJ stderr_ replaced by Sigma_e_
% 08/24/2001 MJ changed the order of the variables, separates static
% variables and handles only one instance of variables both
% in lead and lag
% 08/24/2001 MJ added sigma to state variables as in Schmitt-Grohe and
% Uribe (2001)
% 10/20/2002 MJ corrected lags on several periods bug
% 10/30/2002 MJ corrected lags on several periods bug on static when some
% intermediary lags are missing
% 12/08/2002 MJ uses sylvester3 to solve for dr.ghxx
% 01/01/2003 MJ added dr.fbias for iterative for dr_algo == 1
% 02/21/2003 MJ corrected bug for models without lagged variables
% 03/02/2003 MJ fixed second order for lag on several periods
% 05/21/2003 MJ add check call argument and make computation for CHECK
% 06/01/2003 MJ added a test for M_.maximum_lead > 1 and order > 1
% 08/28/2003 MJ corrected bug in computation of 2nd order (ordering of
% forward variable in LHS)
% 08/29/2003 MJ use Sims routine if mjdgges isn't available

View File

@ -1,19 +1,35 @@
% Copyright (C) 2001 Michel Juillard
%
function dr=set_state_space(dr)
% function dr = set_state_space(dr)
% finds the state vector for structural state space representation
% sets many fields of dr
%
% INPUTS
% dr: structure of decision rules for stochastic simulations
%
% OUTPUTS
% dr: structure of decision rules for stochastic simulations
%
% ALGORITHM
% ...
% SPECIAL REQUIREMENTS
% none
%
%
% part of DYNARE, copyright S. Adjemian, M. Juillard (1996-2006)
% Gnu Public License.
global M_ oo_ options_ it_
xlen = M_.maximum_lead + M_.maximum_lag + 1;
klen = M_.maximum_lag + M_.maximum_lead + 1;
xlen = M_.maximum_endo_lead + M_.maximum_endo_lag + 1;
klen = M_.maximum_endo_lag + M_.maximum_endo_lead + 1;
if ~ M_.lead_lag_incidence(M_.maximum_lag+1,:) > 0
if ~ M_.lead_lag_incidence(M_.maximum_endo_lag+1,:) > 0
error ('Error in model specification: some variables don"t appear as current') ;
end
fwrd_var = find(any(M_.lead_lag_incidence(M_.maximum_lag+2:end,:),1))';
if M_.maximum_lag > 0
pred_var = find(any(M_.lead_lag_incidence(1:M_.maximum_lag,:),1))';
fwrd_var = find(any(M_.lead_lag_incidence(M_.maximum_endo_lag+2:end,:),1))';
if M_.maximum_endo_lag > 0
pred_var = find(any(M_.lead_lag_incidence(1:M_.maximum_endo_lag,:),1))';
both_var = intersect(pred_var,fwrd_var);
pred_var = setdiff(pred_var,both_var);
fwrd_var = setdiff(fwrd_var,both_var);
@ -31,14 +47,14 @@ order_var = [ stat_var; pred_var; both_var; fwrd_var];
inv_order_var(order_var) = (1:M_.endo_nbr);
% building kmask for z state vector in t+1
if M_.maximum_lag > 0
if M_.maximum_endo_lag > 0
kmask = [];
if M_.maximum_lead > 0
kmask = [cumsum(flipud(M_.lead_lag_incidence(M_.maximum_lag+2:end,order_var)),1)] ;
if M_.maximum_endo_lead > 0
kmask = [cumsum(flipud(M_.lead_lag_incidence(M_.maximum_endo_lag+2:end,order_var)),1)] ;
end
kmask = [kmask; flipud(cumsum(M_.lead_lag_incidence(1:M_.maximum_lag,order_var),1))] ;
kmask = [kmask; flipud(cumsum(M_.lead_lag_incidence(1:M_.maximum_endo_lag,order_var),1))] ;
else
kmask = cumsum(flipud(M_.lead_lag_incidence(M_.maximum_lag+2:klen,order_var)),1) ;
kmask = cumsum(flipud(M_.lead_lag_incidence(M_.maximum_endo_lag+2:klen,order_var)),1) ;
end
kmask = kmask';
@ -65,9 +81,9 @@ kstate = [ repmat([1:M_.endo_nbr]',klen-1,1) kron([klen:-1:2]',ones(M_.endo_nbr,
zeros((klen-1)*M_.endo_nbr,2)];
kiy = flipud(M_.lead_lag_incidence(:,order_var))';
kiy = kiy(:);
kstate(1:M_.maximum_lead*M_.endo_nbr,3) = kiy(1:M_.maximum_lead*M_.endo_nbr)-M_.endo_nbr;
kstate(1:M_.maximum_endo_lead*M_.endo_nbr,3) = kiy(1:M_.maximum_endo_lead*M_.endo_nbr)-M_.endo_nbr;
kstate(find(kstate(:,3) < 0),3) = 0;
kstate(M_.maximum_lead*M_.endo_nbr+1:end,4) = kiy((M_.maximum_lead+1)*M_.endo_nbr+1:end);
kstate(M_.maximum_endo_lead*M_.endo_nbr+1:end,4) = kiy((M_.maximum_endo_lead+1)*M_.endo_nbr+1:end);
% put in E only the current variables that are not already in D
kstate = kstate(i_kmask,:);
@ -81,16 +97,16 @@ dr.kae = kae;
dr.nboth = nboth;
dr.nfwrd = nfwrd;
% number of forward variables in the state vector
dr.nsfwrd = sum(kstate(:,2) > M_.maximum_lag+1);
dr.nsfwrd = sum(kstate(:,2) > M_.maximum_endo_lag+1);
% number of predetermined variables in the state vector
dr.nspred = sum(kstate(:,2) <= M_.maximum_lag+1);
dr.nspred = sum(kstate(:,2) <= M_.maximum_endo_lag+1);
% copmutes column position of auxiliary variables for
% computes column position of auxiliary variables for
% compact transition matrix (only state variables)
aux = zeros(0,1);
k0 = kstate(find(kstate(:,2) <= M_.maximum_lag+1),:);;
i0 = find(k0(:,2) == M_.maximum_lag+1);
for i=M_.maximum_lag:-1:2
k0 = kstate(find(kstate(:,2) <= M_.maximum_endo_lag+1),:);;
i0 = find(k0(:,2) == M_.maximum_endo_lag+1);
for i=M_.maximum_endo_lag:-1:2
i1 = find(k0(:,2) == i);
n1 = size(i1,1);
j = zeros(n1,1);