Add unit test to check whether objective function matches and whether covariances actually work

tests/Makefile.am

@@ -19,6 +19,7 @@ MODFILES = \
 	example1_macroif.mod \
 	t_sgu_ex1.mod \
 	optimal_policy/osr_example.mod \
+	optimal_policy/osr_example_objective_correctness.mod \
 	optimal_policy/ramsey.mod \
 	optimal_policy/nk_ramsey.mod \
 	optimal_policy/nk_ramsey_model.mod \

tests/optimal_policy/osr_example_objective_correctness.mod

+// Example of optimal simple rule
+var y inflation r dummy_var;
+varexo y_ inf_;
+
+parameters delta sigma alpha kappa gammax0 gammac0 gamma_y_ gamma_inf_;
+
+delta =  0.44;
+kappa =  0.18;
+alpha =  0.48;
+sigma = -0.06;
+
+
+model(linear);
+y  = delta * y(-1)  + (1-delta)*y(+1)+sigma *(r - inflation(+1)) + y_; 
+inflation  =   alpha * inflation(-1) + (1-alpha) * inflation(+1) + kappa*y + inf_;
+dummy_var=0.9*dummy_var(-1)+0.01*y;
+r = gammax0*y(-1)+gammac0*inflation(-1)+gamma_y_*y_+gamma_inf_*inf_;
+end;
+
+shocks;
+var y_;
+stderr 0.63;
+var inf_;
+stderr 0.4;
+end;
+
+options_.nograph=1;
+options_.nocorr=1;
+options_.osr.tolf=1e-15;
+osr_params gammax0 gammac0 gamma_y_ gamma_inf_;
+
+
+optim_weights;
+inflation 1;
+y 1;
+dummy_var 1;
+end;
+
+
+gammax0 = 0.2;
+gammac0 = 1.5;
+gamma_y_ = 8;
+gamma_inf_ = 3;
+
+osr;
+%compute objective function manually
+objective=oo_.var(strmatch('y',M_.endo_names,'exact'),strmatch('y',M_.endo_names,'exact'))+oo_.var(strmatch('inflation',M_.endo_names,'exact'),strmatch('inflation',M_.endo_names,'exact'))+oo_.var(strmatch('dummy_var',M_.endo_names,'exact'),strmatch('dummy_var',M_.endo_names,'exact'));
+        
+if abs(oo_.osr.objective_function-objective)>1e-8
+    error('Objective Function is wrong')
+end
+
+%redo computation with covariance specified
+optim_weights;
+inflation 1;
+y 1;
+dummy_var 1;
+y,inflation 0.5;
+end;
+
+osr;
+%compute objective function manually
+objective=oo_.var(strmatch('y',M_.endo_names,'exact'),strmatch('y',M_.endo_names,'exact'))+oo_.var(strmatch('inflation',M_.endo_names,'exact'),strmatch('inflation',M_.endo_names,'exact'))++oo_.var(strmatch('dummy_var',M_.endo_names,'exact'),strmatch('dummy_var',M_.endo_names,'exact'))+0.5*oo_.var(strmatch('y',M_.endo_names,'exact'),strmatch('inflation',M_.endo_names,'exact'));
+if abs(oo_.osr.objective_function-objective)>1e-8
+    error('Objective Function is wrong')
+end
+
+% gammax0=  3.94954;
+% gammac0=  4.39418;
+% gamma_y_= 16.6664;
+% gamma_inf_= 8.28523;
+
+%redo computation with double weight on one covariance 
+optim_weights;
+inflation 1;
+y 1;
+dummy_var 1;
+y,inflation 1;
+end;
+
+osr;
+%compute objective function manually
+objective=oo_.var(strmatch('y',M_.endo_names,'exact'),strmatch('y',M_.endo_names,'exact'))+oo_.var(strmatch('inflation',M_.endo_names,'exact'),strmatch('inflation',M_.endo_names,'exact'))++oo_.var(strmatch('dummy_var',M_.endo_names,'exact'),strmatch('dummy_var',M_.endo_names,'exact'))+1*oo_.var(strmatch('y',M_.endo_names,'exact'),strmatch('inflation',M_.endo_names,'exact'));
+if abs(oo_.osr.objective_function-objective)>1e-8
+    error('Objective Function is wrong')
+end
+oo_covar_single=oo_;
+
+%redo computation with single weight on both covariances
+
+optim_weights;
+inflation 1;
+y 1;
+dummy_var 1;
+y,inflation 0.5;
+inflation,y 0.5;
+end;
+
+osr;
+%compute objective function manually
+objective=oo_.var(strmatch('y',M_.endo_names,'exact'),strmatch('y',M_.endo_names,'exact'))+oo_.var(strmatch('inflation',M_.endo_names,'exact'),strmatch('inflation',M_.endo_names,'exact'))+oo_.var(strmatch('dummy_var',M_.endo_names,'exact'),strmatch('dummy_var',M_.endo_names,'exact'))+0.5*oo_.var(strmatch('y',M_.endo_names,'exact'),strmatch('inflation',M_.endo_names,'exact'))+0.5*oo_.var(strmatch('inflation',M_.endo_names,'exact'),strmatch('y',M_.endo_names,'exact'));
+if abs(oo_.osr.objective_function-objective)>1e-8
+    error('Objective Function is wrong')
+end
+if abs(oo_.osr.objective_function-oo_covar_single.osr.objective_function)>1e-8
+    error('Objective Function is wrong')
+end
+if max(abs(cell2mat(struct2cell(oo_.osr.optim_params))-cell2mat(struct2cell(oo_covar_single.osr.optim_params))))>1e-5
+    error('Parameters should be identical')
+end
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