preprocessor/src/DynamicModel.cc

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/*
* Copyright © 2003-2023 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/>.
*/
#include <iostream>
#include <cmath>
#include <cstdlib>
#include <cassert>
#include <algorithm>
#include <numeric>
#include <regex>
#include <sstream>
#include <string_view>
#include "DynamicModel.hh"
#include "ParsingDriver.hh"
void
DynamicModel::copyHelper(const DynamicModel &m)
{
auto f = [this](const ExprNode *e) { return e->clone(*this); };
for (const auto &it : m.static_only_equations)
static_only_equations.push_back(dynamic_cast<BinaryOpNode *>(f(it)));
auto convert_block_derivative = [f](const map<tuple<int, int, int>, expr_t> &dt)
{
map<tuple<int, int, int>, expr_t> dt2;
for (const auto &it : dt)
dt2.emplace(it.first, f(it.second));
return dt2;
};
for (const auto &it : m.blocks_derivatives_other_endo)
blocks_derivatives_other_endo.emplace_back(convert_block_derivative(it));
for (const auto &it : m.blocks_derivatives_exo)
blocks_derivatives_exo.emplace_back(convert_block_derivative(it));
for (const auto &it : m.blocks_derivatives_exo_det)
blocks_derivatives_exo_det.emplace_back(convert_block_derivative(it));
}
DynamicModel::DynamicModel(SymbolTable &symbol_table_arg,
NumericalConstants &num_constants_arg,
ExternalFunctionsTable &external_functions_table_arg,
TrendComponentModelTable &trend_component_model_table_arg,
VarModelTable &var_model_table_arg) :
ModelTree{symbol_table_arg, num_constants_arg, external_functions_table_arg, true},
trend_component_model_table{trend_component_model_table_arg},
var_model_table{var_model_table_arg}
{
}
DynamicModel::DynamicModel(const DynamicModel &m) :
ModelTree{m},
trend_component_model_table{m.trend_component_model_table},
var_model_table{m.var_model_table},
balanced_growth_test_tol{m.balanced_growth_test_tol},
static_only_equations_lineno{m.static_only_equations_lineno},
static_only_equations_equation_tags{m.static_only_equations_equation_tags},
deriv_id_table{m.deriv_id_table},
inv_deriv_id_table{m.inv_deriv_id_table},
dyn_jacobian_cols_table{m.dyn_jacobian_cols_table},
max_lag{m.max_lag},
max_lead{m.max_lead},
max_endo_lag{m.max_endo_lag},
max_endo_lead{m.max_endo_lead},
max_exo_lag{m.max_exo_lag},
max_exo_lead{m.max_exo_lead},
max_exo_det_lag{m.max_exo_det_lag},
max_exo_det_lead{m.max_exo_det_lead},
max_lag_orig{m.max_lag_orig},
max_lead_orig{m.max_lead_orig},
max_lag_with_diffs_expanded_orig{m.max_lag_with_diffs_expanded_orig},
max_endo_lag_orig{m.max_endo_lag_orig},
max_endo_lead_orig{m.max_endo_lead_orig},
max_exo_lag_orig{m.max_exo_lag_orig},
max_exo_lead_orig{m.max_exo_lead_orig},
max_exo_det_lag_orig{m.max_exo_det_lag_orig},
max_exo_det_lead_orig{m.max_exo_det_lead_orig},
xrefs{m.xrefs},
xref_param{m.xref_param},
xref_endo{m.xref_endo},
xref_exo{m.xref_exo},
xref_exo_det{m.xref_exo_det},
nonzero_hessian_eqs{m.nonzero_hessian_eqs},
variableMapping{m.variableMapping},
blocks_other_endo{m.blocks_other_endo},
blocks_exo{m.blocks_exo},
blocks_exo_det{m.blocks_exo_det},
blocks_jacob_cols_endo{m.blocks_jacob_cols_endo},
blocks_jacob_cols_other_endo{m.blocks_jacob_cols_other_endo},
blocks_jacob_cols_exo{m.blocks_jacob_cols_exo},
blocks_jacob_cols_exo_det{m.blocks_jacob_cols_exo_det},
var_expectation_functions_to_write{m.var_expectation_functions_to_write}
{
copyHelper(m);
}
DynamicModel &
DynamicModel::operator=(const DynamicModel &m)
{
ModelTree::operator=(m);
assert(&trend_component_model_table == &m.trend_component_model_table);
assert(&var_model_table == &m.var_model_table);
balanced_growth_test_tol = m.balanced_growth_test_tol;
static_only_equations_lineno = m.static_only_equations_lineno;
static_only_equations_equation_tags = m.static_only_equations_equation_tags;
deriv_id_table = m.deriv_id_table;
inv_deriv_id_table = m.inv_deriv_id_table;
dyn_jacobian_cols_table = m.dyn_jacobian_cols_table;
max_lag = m.max_lag;
max_lead = m.max_lead;
max_endo_lag = m.max_endo_lag;
max_endo_lead = m.max_endo_lead;
max_exo_lag = m.max_exo_lag;
max_exo_lead = m.max_exo_lead;
max_exo_det_lag = m.max_exo_det_lag;
max_exo_det_lead = m.max_exo_det_lead;
max_lag_orig = m.max_lag_orig;
max_lead_orig = m.max_lead_orig;
max_lag_with_diffs_expanded_orig = m.max_lag_with_diffs_expanded_orig;
max_endo_lag_orig = m.max_endo_lag_orig;
max_endo_lead_orig = m.max_endo_lead_orig;
max_exo_lag_orig = m.max_exo_lag_orig;
max_exo_lead_orig = m.max_exo_lead_orig;
max_exo_det_lag_orig = m.max_exo_det_lag_orig;
max_exo_det_lead_orig = m.max_exo_det_lead_orig;
xrefs = m.xrefs;
xref_param = m.xref_param;
xref_endo = m.xref_endo;
xref_exo = m.xref_exo;
xref_exo_det = m.xref_exo_det;
nonzero_hessian_eqs = m.nonzero_hessian_eqs;
variableMapping = m.variableMapping;
blocks_derivatives_other_endo.clear();
blocks_derivatives_exo.clear();
blocks_derivatives_exo_det.clear();
blocks_other_endo = m.blocks_other_endo;
blocks_exo = m.blocks_exo;
blocks_exo_det = m.blocks_exo_det;
blocks_jacob_cols_endo = m.blocks_jacob_cols_endo;
blocks_jacob_cols_other_endo = m.blocks_jacob_cols_other_endo;
blocks_jacob_cols_exo = m.blocks_jacob_cols_exo;
blocks_jacob_cols_exo_det = m.blocks_jacob_cols_exo_det;
var_expectation_functions_to_write = m.var_expectation_functions_to_write;
copyHelper(m);
return *this;
}
void
DynamicModel::additionalBlockTemporaryTerms(int blk,
vector<vector<temporary_terms_t>> &blocks_temporary_terms,
map<expr_t, tuple<int, int, int>> &reference_count) const
{
for (const auto &[ignore, d] : blocks_derivatives_exo[blk])
d->computeBlockTemporaryTerms(blk, blocks[blk].size, blocks_temporary_terms, reference_count);
for (const auto &[ignore, d] : blocks_derivatives_exo_det[blk])
d->computeBlockTemporaryTerms(blk, blocks[blk].size, blocks_temporary_terms, reference_count);
for (const auto &[ignore, d] : blocks_derivatives_other_endo[blk])
d->computeBlockTemporaryTerms(blk, blocks[blk].size, blocks_temporary_terms, reference_count);
}
int
DynamicModel::nzeDeterministicJacobianForBlock(int blk) const
{
BlockSimulationType simulation_type = blocks[blk].simulation_type;
int block_recursive_size = blocks[blk].getRecursiveSize();
int nze_deterministic = 0;
if (simulation_type == BlockSimulationType::solveTwoBoundariesComplete
|| simulation_type == BlockSimulationType::solveTwoBoundariesSimple)
nze_deterministic = count_if(blocks_derivatives[blk].begin(), blocks_derivatives[blk].end(),
[=](const auto &kv) {
auto [eq, var, lag] = kv.first;
return eq >= block_recursive_size && var >= block_recursive_size;
});
else if (simulation_type == BlockSimulationType::solveBackwardSimple
|| simulation_type == BlockSimulationType::solveForwardSimple
|| simulation_type == BlockSimulationType::solveBackwardComplete
|| simulation_type == BlockSimulationType::solveForwardComplete)
nze_deterministic = count_if(blocks_derivatives[blk].begin(), blocks_derivatives[blk].end(),
[=](const auto &kv) {
auto [eq, var, lag] = kv.first;
return lag == 0 && eq >= block_recursive_size && var >= block_recursive_size;
});
return nze_deterministic;
}
void
DynamicModel::writeDynamicPerBlockMFiles(const string &basename) const
{
temporary_terms_t temporary_terms; // Temp terms written so far
for (int blk = 0; blk < static_cast<int>(blocks.size()); blk++)
{
BlockSimulationType simulation_type = blocks[blk].simulation_type;
int block_size = blocks[blk].size;
int block_mfs_size = blocks[blk].mfs_size;
// Number of nonzero derivatives for the various Jacobians
int nze_stochastic = blocks_derivatives[blk].size();
int nze_deterministic = nzeDeterministicJacobianForBlock(blk);
int nze_other_endo = blocks_derivatives_other_endo[blk].size();
int nze_exo = blocks_derivatives_exo[blk].size();
int nze_exo_det = blocks_derivatives_exo_det[blk].size();
filesystem::path filename {packageDir(basename) / "+block" / ("dynamic_" + to_string(blk+1) + ".m")};
ofstream output{filename, ios::out | ios::binary};
if (!output.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
output << "%" << endl
<< "% " << filename.string() << " : Computes dynamic version of one block" << endl
<< "%" << endl
<< "% Warning : this file is generated automatically by Dynare" << endl
<< "% from model file (.mod)" << endl << endl
<< "%" << endl;
if (simulation_type == BlockSimulationType::evaluateBackward
|| simulation_type == BlockSimulationType::evaluateForward)
output << "function [y, T, g1, varargout] = dynamic_" << blk+1 << "(y, x, params, steady_state, T, it_, stochastic_mode)" << endl;
else
output << "function [residual, y, T, g1, varargout] = dynamic_" << blk+1 << "(y, x, params, steady_state, T, it_, stochastic_mode)" << endl;
output << " % ////////////////////////////////////////////////////////////////////////" << endl
<< " % //" << " Block "sv.substr(static_cast<int>(log10(blk + 1))) << blk+1
<< " //" << endl
<< " % // Simulation type "
<< BlockSim(simulation_type) << " //" << endl
<< " % ////////////////////////////////////////////////////////////////////////" << endl;
if (simulation_type != BlockSimulationType::evaluateForward
&& simulation_type != BlockSimulationType::evaluateBackward)
output << " residual=zeros(" << block_mfs_size << ",1);" << endl;
output << " if stochastic_mode" << endl
<< " g1_i=zeros(" << nze_stochastic << ",1);" << endl
<< " g1_j=zeros(" << nze_stochastic << ",1);" << endl
<< " g1_v=zeros(" << nze_stochastic << ",1);" << endl
<< " g1_x_i=zeros(" << nze_exo << ",1);" << endl
<< " g1_x_j=zeros(" << nze_exo << ",1);" << endl
<< " g1_x_v=zeros(" << nze_exo << ",1);" << endl
<< " g1_xd_i=zeros(" << nze_exo_det << ",1);" << endl
<< " g1_xd_j=zeros(" << nze_exo_det << ",1);" << endl
<< " g1_xd_v=zeros(" << nze_exo_det << ",1);" << endl
<< " g1_o_i=zeros(" << nze_other_endo << ",1);" << endl
<< " g1_o_j=zeros(" << nze_other_endo << ",1);" << endl
<< " g1_o_v=zeros(" << nze_other_endo << ",1);" << endl;
if (simulation_type != BlockSimulationType::evaluateForward
&& simulation_type != BlockSimulationType::evaluateBackward)
output << " else" << endl
<< " g1_i=zeros(" << nze_deterministic << ",1);" << endl
<< " g1_j=zeros(" << nze_deterministic << ",1);" << endl
<< " g1_v=zeros(" << nze_deterministic << ",1);" << endl;
output << " end" << endl
<< endl;
writeDynamicPerBlockHelper<ExprNodeOutputType::matlabDynamicModel>(blk, output, temporary_terms,
nze_stochastic, nze_deterministic, nze_exo, nze_exo_det, nze_other_endo);
output << endl
<< " if stochastic_mode" << endl
<< " g1=sparse(g1_i, g1_j, g1_v, " << block_size << ", " << blocks_jacob_cols_endo[blk].size() << ");" << endl
<< " varargout{1}=sparse(g1_x_i, g1_x_j, g1_x_v, " << block_size << ", " << blocks_jacob_cols_exo[blk].size() << ");" << endl
<< " varargout{2}=sparse(g1_xd_i, g1_xd_j, g1_xd_v, " << block_size << ", " << blocks_jacob_cols_exo_det[blk].size() << ");" << endl
<< " varargout{3}=sparse(g1_o_i, g1_o_j, g1_o_v, " << block_size << ", " << blocks_jacob_cols_other_endo[blk].size() << ");" << endl
<< " else" << endl;
switch (simulation_type)
{
case BlockSimulationType::evaluateForward:
case BlockSimulationType::evaluateBackward:
output << " g1=[];" << endl;
break;
case BlockSimulationType::solveBackwardSimple:
case BlockSimulationType::solveForwardSimple:
case BlockSimulationType::solveBackwardComplete:
case BlockSimulationType::solveForwardComplete:
output << " g1=sparse(g1_i, g1_j, g1_v, " << block_mfs_size
<< ", " << block_mfs_size << ");" << endl;
break;
case BlockSimulationType::solveTwoBoundariesSimple:
case BlockSimulationType::solveTwoBoundariesComplete:
output << " g1=sparse(g1_i, g1_j, g1_v, " << block_mfs_size
<< ", " << 3*block_mfs_size << ");" << endl;
break;
default:
break;
}
output << " end" << endl
<< "end" << endl;
output.close();
}
}
void
DynamicModel::writeBlockBytecodeAdditionalDerivatives(BytecodeWriter &code_file, int block,
const temporary_terms_t &temporary_terms_union,
const deriv_node_temp_terms_t &tef_terms) const
{
constexpr ExprNodeBytecodeOutputType output_type {ExprNodeBytecodeOutputType::dynamicModel};
/* FIXME: there is an inconsistency between endos and the following 3 other
variable types. For the latter, the index of equation within the block is
taken from FNUMEXPR, while it is taken from FSTPG3 for the former. */
for (const auto &[indices, d] : blocks_derivatives_exo[block])
{
const auto &[eq, var, lag] {indices};
code_file << FNUMEXPR_{ExpressionType::FirstExoDerivative, eq, 0, lag};
d->writeBytecodeOutput(code_file, output_type, temporary_terms_union, blocks_temporary_terms_idxs, tef_terms);
code_file << FSTPG3_{eq, var, lag, blocks_jacob_cols_exo[block].at({ var, lag })};
}
for (const auto &[indices, d] : blocks_derivatives_exo_det[block])
{
const auto &[eq, var, lag] {indices};
code_file << FNUMEXPR_{ExpressionType::FirstExodetDerivative, eq, 0, lag};
d->writeBytecodeOutput(code_file, output_type, temporary_terms_union, blocks_temporary_terms_idxs, tef_terms);
code_file << FSTPG3_{eq, var, lag, blocks_jacob_cols_exo_det[block].at({ var, lag })};
}
for (const auto &[indices, d] : blocks_derivatives_other_endo[block])
{
const auto &[eq, var, lag] {indices};
code_file << FNUMEXPR_{ExpressionType::FirstOtherEndoDerivative, eq, 0, lag};
d->writeBytecodeOutput(code_file, output_type, temporary_terms_union, blocks_temporary_terms_idxs, tef_terms);
code_file << FSTPG3_{eq, var, lag, blocks_jacob_cols_other_endo[block].at({ var, lag })};
}
}
vector<filesystem::path>
DynamicModel::writeDynamicPerBlockCFiles(const string &basename, const string &mexext,
const filesystem::path &matlabroot,
const filesystem::path &dynareroot) const
{
temporary_terms_t temporary_terms; // Temp terms written so far
const filesystem::path model_src_dir { filesystem::path{basename} / "model" / "src" };
vector<filesystem::path> compiled_object_files;
for (int blk = 0; blk < static_cast<int>(blocks.size()); blk++)
{
BlockSimulationType simulation_type = blocks[blk].simulation_type;
int block_size = blocks[blk].size;
int block_mfs_size = blocks[blk].mfs_size;
// Number of nonzero derivatives for the various Jacobians
int nze_stochastic = blocks_derivatives[blk].size();
int nze_deterministic = nzeDeterministicJacobianForBlock(blk);
int nze_other_endo = blocks_derivatives_other_endo[blk].size();
int nze_exo = blocks_derivatives_exo[blk].size();
int nze_exo_det = blocks_derivatives_exo_det[blk].size();
filesystem::path filename { model_src_dir / ("dynamic_" + to_string(blk+1) + ".c") };
ofstream output{filename, ios::out | ios::binary};
if (!output.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
output << "/* Block " << blk+1 << endl
<< " " << BlockSim(simulation_type) << " */" << endl
<< endl
<< "#include <math.h>" << endl
<< "#include <stdlib.h>" << endl
<< "#include <stdbool.h>" << endl
<< R"(#include "mex.h")" << endl
<< endl;
// Write function definition if BinaryOpcode::powerDeriv is used
writePowerDerivHeader(output);
output << endl;
if (simulation_type == BlockSimulationType::evaluateBackward
|| simulation_type == BlockSimulationType::evaluateForward)
output << "void dynamic_" << blk+1 << "(double *restrict y, const double *restrict x, int nb_row_x, const double *restrict params, const double *restrict steady_state, double *restrict T, int it_, bool stochastic_mode, double *restrict g1_i, double *restrict g1_j, double *restrict g1_v, double *restrict g1_x_i, double *restrict g1_x_j, double *restrict g1_x_v, double *restrict g1_xd_i, double *restrict g1_xd_j, double *restrict g1_xd_v, double *restrict g1_o_i, double *restrict g1_o_j, double *restrict g1_o_v)" << endl;
else
output << "void dynamic_" << blk+1 << "(double *restrict y, const double *restrict x, int nb_row_x, const double *restrict params, const double *restrict steady_state, double *restrict T, int it_, bool stochastic_mode, double *restrict residual, double *restrict g1_i, double *restrict g1_j, double *restrict g1_v, double *restrict g1_x_i, double *restrict g1_x_j, double *restrict g1_x_v, double *restrict g1_xd_i, double *restrict g1_xd_j, double *restrict g1_xd_v, double *restrict g1_o_i, double *restrict g1_o_j, double *restrict g1_o_v)" << endl;
output << '{' << endl;
writeDynamicPerBlockHelper<ExprNodeOutputType::CDynamicModel>(blk, output, temporary_terms,
nze_stochastic, nze_deterministic, nze_exo, nze_exo_det, nze_other_endo);
output << '}' << endl
<< endl;
ostringstream header;
if (simulation_type == BlockSimulationType::evaluateBackward
|| simulation_type == BlockSimulationType::evaluateForward)
header << "void dynamic_" << blk+1 << "_mx(mxArray *y, const mxArray *x, const mxArray *params, const mxArray *steady_state, mxArray *T, const mxArray *it_, const mxArray *stochastic_mode, mxArray **g1, mxArray **g1_x, mxArray **g1_xd, mxArray **g1_o)";
else
header << "void dynamic_" << blk+1 << "_mx(mxArray *y, const mxArray *x, const mxArray *params, const mxArray *steady_state, mxArray *T, const mxArray *it_, const mxArray *stochastic_mode, mxArray **residual, mxArray **g1, mxArray **g1_x, mxArray **g1_xd, mxArray **g1_o)";
output << header.str() << endl
<< '{' << endl
<< " int nb_row_x = mxGetM(x);" << endl;
if (simulation_type != BlockSimulationType::evaluateForward
&& simulation_type != BlockSimulationType::evaluateBackward)
output << " *residual = mxCreateDoubleMatrix(" << block_mfs_size << ",1,mxREAL);" << endl;
output << " mxArray *g1_i = NULL, *g1_j = NULL, *g1_v = NULL;" << endl
<< " mxArray *g1_x_i = NULL, *g1_x_j = NULL, *g1_x_v = NULL;" << endl
<< " mxArray *g1_xd_i = NULL, *g1_xd_j = NULL, *g1_xd_v = NULL;" << endl
<< " mxArray *g1_o_i = NULL, *g1_o_j = NULL, *g1_o_v = NULL;" << endl
<< " if (mxGetScalar(stochastic_mode)) {" << endl
<< " g1_i=mxCreateDoubleMatrix(" << nze_stochastic << ",1,mxREAL);" << endl
<< " g1_j=mxCreateDoubleMatrix(" << nze_stochastic << ",1,mxREAL);" << endl
<< " g1_v=mxCreateDoubleMatrix(" << nze_stochastic << ",1,mxREAL);" << endl
<< " g1_x_i=mxCreateDoubleMatrix(" << nze_exo << ",1,mxREAL);" << endl
<< " g1_x_j=mxCreateDoubleMatrix(" << nze_exo << ",1,mxREAL);" << endl
<< " g1_x_v=mxCreateDoubleMatrix(" << nze_exo << ",1,mxREAL);" << endl
<< " g1_xd_i=mxCreateDoubleMatrix(" << nze_exo_det << ",1,mxREAL);" << endl
<< " g1_xd_j=mxCreateDoubleMatrix(" << nze_exo_det << ",1,mxREAL);" << endl
<< " g1_xd_v=mxCreateDoubleMatrix(" << nze_exo_det << ",1,mxREAL);" << endl
<< " g1_o_i=mxCreateDoubleMatrix(" << nze_other_endo << ",1,mxREAL);" << endl
<< " g1_o_j=mxCreateDoubleMatrix(" << nze_other_endo << ",1,mxREAL);" << endl
<< " g1_o_v=mxCreateDoubleMatrix(" << nze_other_endo << ",1,mxREAL);" << endl;
if (simulation_type != BlockSimulationType::evaluateForward
&& simulation_type != BlockSimulationType::evaluateBackward)
output << " } else {" << endl
<< " g1_i=mxCreateDoubleMatrix(" << nze_deterministic << ",1,mxREAL);" << endl
<< " g1_j=mxCreateDoubleMatrix(" << nze_deterministic << ",1,mxREAL);" << endl
<< " g1_v=mxCreateDoubleMatrix(" << nze_deterministic << ",1,mxREAL);" << endl;
output << " }" << endl
<< endl;
// N.B.: In the following, it_ is decreased by 1, to follow C convention
if (simulation_type == BlockSimulationType::evaluateBackward
|| simulation_type == BlockSimulationType::evaluateForward)
output << " dynamic_" << blk+1 << "(mxGetPr(y), mxGetPr(x), nb_row_x, mxGetPr(params), mxGetPr(steady_state), mxGetPr(T), mxGetScalar(it_)-1, mxGetScalar(stochastic_mode), g1_i ? mxGetPr(g1_i) : NULL, g1_j ? mxGetPr(g1_j) : NULL, g1_v ? mxGetPr(g1_v) : NULL, g1_x_i ? mxGetPr(g1_x_i) : NULL, g1_x_j ? mxGetPr(g1_x_j) : NULL, g1_x_v ? mxGetPr(g1_x_v) : NULL, g1_xd_i ? mxGetPr(g1_xd_i) : NULL, g1_xd_j ? mxGetPr(g1_xd_j) : NULL, g1_xd_v ? mxGetPr(g1_xd_v) : NULL, g1_o_i ? mxGetPr(g1_o_i) : NULL, g1_o_j ? mxGetPr(g1_o_j) : NULL, g1_o_v ? mxGetPr(g1_o_v) : NULL);" << endl;
else
output << " dynamic_" << blk+1 << "(mxGetPr(y), mxGetPr(x), nb_row_x, mxGetPr(params), mxGetPr(steady_state), mxGetPr(T), mxGetScalar(it_)-1, mxGetScalar(stochastic_mode), mxGetPr(*residual), g1_i ? mxGetPr(g1_i) : NULL, g1_j ? mxGetPr(g1_j) : NULL, g1_v ? mxGetPr(g1_v) : NULL, g1_x_i ? mxGetPr(g1_x_i) : NULL, g1_x_j ? mxGetPr(g1_x_j) : NULL, g1_x_v ? mxGetPr(g1_x_v) : NULL, g1_xd_i ? mxGetPr(g1_xd_i) : NULL, g1_xd_j ? mxGetPr(g1_xd_j) : NULL, g1_xd_v ? mxGetPr(g1_xd_v) : NULL, g1_o_i ? mxGetPr(g1_o_i) : NULL, g1_o_j ? mxGetPr(g1_o_j) : NULL, g1_o_v ? mxGetPr(g1_o_v) : NULL);" << endl;
output << endl
<< " if (mxGetScalar(stochastic_mode)) {" << endl
<< " mxArray *m = mxCreateDoubleScalar(" << block_size << ");" << endl
<< " mxArray *n = mxCreateDoubleScalar(" << blocks_jacob_cols_endo[blk].size() << ");" << endl
<< " mxArray *plhs[1];" << endl
<< " mxArray *prhs[5] = { g1_i, g1_j, g1_v, m, n };" << endl
<< R"( mexCallMATLAB(1, plhs, 5, prhs, "sparse");)" << endl
<< " *g1=plhs[0];" << endl
<< " mxDestroyArray(g1_i);" << endl
<< " mxDestroyArray(g1_j);" << endl
<< " mxDestroyArray(g1_v);" << endl
<< " mxDestroyArray(n);" << endl
<< " n = mxCreateDoubleScalar(" << blocks_jacob_cols_exo[blk].size() << ");" << endl
<< " mxArray *prhs_x[5] = { g1_x_i, g1_x_j, g1_x_v, m, n };" << endl
<< R"( mexCallMATLAB(1, plhs, 5, prhs_x, "sparse");)" << endl
<< " *g1_x=plhs[0];" << endl
<< " mxDestroyArray(g1_x_i);" << endl
<< " mxDestroyArray(g1_x_j);" << endl
<< " mxDestroyArray(g1_x_v);" << endl
<< " mxDestroyArray(n);" << endl
<< " n = mxCreateDoubleScalar(" << blocks_jacob_cols_exo_det[blk].size() << ");" << endl
<< " mxArray *prhs_xd[5] = { g1_xd_i, g1_xd_j, g1_xd_v, m, n };" << endl
<< R"( mexCallMATLAB(1, plhs, 5, prhs_xd, "sparse");)" << endl
<< " *g1_xd=plhs[0];" << endl
<< " mxDestroyArray(g1_xd_i);" << endl
<< " mxDestroyArray(g1_xd_j);" << endl
<< " mxDestroyArray(g1_xd_v);" << endl
<< " mxDestroyArray(n);" << endl
<< " n = mxCreateDoubleScalar(" << blocks_jacob_cols_other_endo[blk].size() << ");" << endl
<< " mxArray *prhs_o[5] = { g1_o_i, g1_o_j, g1_o_v, m, n };" << endl
<< R"( mexCallMATLAB(1, plhs, 5, prhs_o, "sparse");)" << endl
<< " *g1_o=plhs[0];" << endl
<< " mxDestroyArray(g1_o_i);" << endl
<< " mxDestroyArray(g1_o_j);" << endl
<< " mxDestroyArray(g1_o_v);" << endl
<< " mxDestroyArray(n);" << endl
<< " mxDestroyArray(m);" << endl
<< " } else {" << endl;
switch (simulation_type)
{
case BlockSimulationType::evaluateForward:
case BlockSimulationType::evaluateBackward:
output << " *g1=mxCreateDoubleMatrix(0,0,mxREAL);" << endl;
break;
case BlockSimulationType::solveBackwardSimple:
case BlockSimulationType::solveForwardSimple:
case BlockSimulationType::solveBackwardComplete:
case BlockSimulationType::solveForwardComplete:
output << " mxArray *m = mxCreateDoubleScalar(" << block_mfs_size << ");" << endl
<< " mxArray *n = mxCreateDoubleScalar(" << block_mfs_size << ");" << endl
<< " mxArray *plhs[1];" << endl
<< " mxArray *prhs[5] = { g1_i, g1_j, g1_v, m, n };" << endl
<< R"( mexCallMATLAB(1, plhs, 5, prhs, "sparse");)" << endl
<< " *g1=plhs[0];" << endl
<< " mxDestroyArray(g1_i);" << endl
<< " mxDestroyArray(g1_j);" << endl
<< " mxDestroyArray(g1_v);" << endl
<< " mxDestroyArray(n);" << endl
<< " mxDestroyArray(m);" << endl;
break;
case BlockSimulationType::solveTwoBoundariesSimple:
case BlockSimulationType::solveTwoBoundariesComplete:
output << " mxArray *m = mxCreateDoubleScalar(" << block_mfs_size << ");" << endl
<< " mxArray *n = mxCreateDoubleScalar(" << 3*block_mfs_size << ");" << endl
<< " mxArray *plhs[1];" << endl
<< " mxArray *prhs[5] = { g1_i, g1_j, g1_v, m, n };" << endl
<< R"( mexCallMATLAB(1, plhs, 5, prhs, "sparse");)" << endl
<< " *g1=plhs[0];" << endl
<< " mxDestroyArray(g1_i);" << endl
<< " mxDestroyArray(g1_j);" << endl
<< " mxDestroyArray(g1_v);" << endl
<< " mxDestroyArray(n);" << endl
<< " mxDestroyArray(m);" << endl;
break;
default:
break;
}
output << " *g1_x=mxCreateDoubleMatrix(0,0,mxREAL);" << endl
<< " *g1_xd=mxCreateDoubleMatrix(0,0,mxREAL);" << endl
<< " *g1_o=mxCreateDoubleMatrix(0,0,mxREAL);" << endl
<< " }" << endl
<< "}" << endl;
output.close();
// Compile intermediary object under <MODFILE>/model/src/
compiled_object_files.emplace_back(compileMEX(model_src_dir, "dynamic_" + to_string(blk+1),
mexext, { filename }, matlabroot, dynareroot,
false));
filename = model_src_dir / ("dynamic_" + to_string(blk+1) + ".h");
ofstream header_output{filename, ios::out | ios::binary};
if (!header_output.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
header_output << header.str() << ';' << endl;
header_output.close();
}
return compiled_object_files;
}
void
DynamicModel::writeDynamicBytecode(const string &basename) const
{
// Determine the type of model (used for typing the single block)
BlockSimulationType simulation_type;
if (max_endo_lag > 0 && max_endo_lead > 0)
simulation_type = BlockSimulationType::solveTwoBoundariesComplete;
else if (max_endo_lag >= 0 && max_endo_lead == 0)
simulation_type = BlockSimulationType::solveForwardComplete;
else
simulation_type = BlockSimulationType::solveBackwardComplete;
// First write the .bin file
int u_count_int { writeBytecodeBinFile(basename + "/model/bytecode/dynamic.bin",
simulation_type == BlockSimulationType::solveTwoBoundariesComplete) };
BytecodeWriter code_file {basename + "/model/bytecode/dynamic.cod"};
// Declare temporary terms
code_file << FDIMT_{static_cast<int>(temporary_terms_derivatives[0].size()
+ temporary_terms_derivatives[1].size())};
// Declare the (single) block
vector<int> exo(symbol_table.exo_nbr()), exo_det(symbol_table.exo_det_nbr());
iota(exo.begin(), exo.end(), 0);
iota(exo_det.begin(), exo_det.end(), 0);
int jacobian_ncols_endo
{ static_cast<int>(count_if(dyn_jacobian_cols_table.begin(), dyn_jacobian_cols_table.end(),
[this](const auto &v)
{ return getTypeByDerivID(v.first) == SymbolType::endogenous; }))
};
int jacobian_ncols_exo {symbol_table.exo_nbr()};
int jacobian_ncols_exo_det {symbol_table.exo_det_nbr()};
vector<int> eq_idx(equations.size());
iota(eq_idx.begin(), eq_idx.end(), 0);
vector<int> endo_idx(symbol_table.endo_nbr());
iota(endo_idx.begin(), endo_idx.end(), 0);
code_file << FBEGINBLOCK_{symbol_table.endo_nbr(),
simulation_type,
0,
symbol_table.endo_nbr(),
endo_idx,
eq_idx,
false,
symbol_table.endo_nbr(),
max_endo_lag,
max_endo_lead,
u_count_int,
jacobian_ncols_endo,
symbol_table.exo_det_nbr(),
jacobian_ncols_exo_det,
symbol_table.exo_nbr(),
jacobian_ncols_exo,
0,
0,
exo_det,
exo,
{}};
writeBytecodeHelper<true>(code_file);
}
void
DynamicModel::writeDynamicBlockBytecode(const string &basename) const
{
BytecodeWriter code_file {basename + "/model/bytecode/dynamic.cod"};
const filesystem::path bin_filename {basename + "/model/bytecode/dynamic.bin"};
ofstream bin_file {bin_filename, ios::out | ios::binary};
if (!bin_file.is_open())
{
cerr << R"(Error : Can't open file ")" << bin_filename.string() << R"(" for writing)" << endl;
exit(EXIT_FAILURE);
}
// Temporary variables declaration
code_file << FDIMT_{static_cast<int>(blocks_temporary_terms_idxs.size())};
for (int block {0}; block < static_cast<int>(blocks.size()); block++)
{
const BlockSimulationType simulation_type {blocks[block].simulation_type};
// Write section of .bin file except for evaluate blocks and solve simple blocks
const int u_count {simulation_type == BlockSimulationType::solveTwoBoundariesSimple
|| simulation_type == BlockSimulationType::solveTwoBoundariesComplete
|| simulation_type == BlockSimulationType::solveBackwardComplete
|| simulation_type == BlockSimulationType::solveForwardComplete
? writeBlockBytecodeBinFile(bin_file, block)
: 0};
code_file << FBEGINBLOCK_{blocks[block].mfs_size,
simulation_type,
blocks[block].first_equation,
blocks[block].size,
endo_idx_block2orig,
eq_idx_block2orig,
blocks[block].linear,
symbol_table.endo_nbr(),
blocks[block].max_lag,
blocks[block].max_lead,
u_count,
static_cast<int>(blocks_jacob_cols_endo[block].size()),
static_cast<int>(blocks_exo_det[block].size()),
static_cast<int>(blocks_jacob_cols_exo_det[block].size()),
static_cast<int>(blocks_exo[block].size()),
static_cast<int>(blocks_jacob_cols_exo[block].size()),
static_cast<int>(blocks_other_endo[block].size()),
static_cast<int>(blocks_jacob_cols_other_endo[block].size()),
{ blocks_exo_det[block].begin(), blocks_exo_det[block].end() },
{ blocks_exo[block].begin(), blocks_exo[block].end() },
{ blocks_other_endo[block].begin(), blocks_other_endo[block].end() }};
writeBlockBytecodeHelper<true>(code_file, block);
}
code_file << FEND_{};
}
void
DynamicModel::writeDynamicMFile(const string &basename) const
{
auto [d_output, tt_output] = writeModelFileHelper<ExprNodeOutputType::matlabDynamicModel>();
ostringstream init_output, end_output;
init_output << "residual = zeros(" << equations.size() << ", 1);";
writeDynamicMFileHelper(basename, "dynamic_resid", "residual", "dynamic_resid_tt",
temporary_terms_derivatives[0].size(),
"", init_output, end_output, d_output[0], tt_output[0]);
init_output.str("");
init_output << "g1 = zeros(" << equations.size() << ", " << getJacobianColsNbr(false) << ");";
writeDynamicMFileHelper(basename, "dynamic_g1", "g1", "dynamic_g1_tt",
temporary_terms_derivatives[0].size() + temporary_terms_derivatives[1].size(),
"dynamic_resid_tt", init_output, end_output, d_output[1], tt_output[1]);
writeDynamicMWrapperFunction(basename, "g1");
// For order ≥ 2
int ncols{getJacobianColsNbr(false)};
int ntt { static_cast<int>(temporary_terms_derivatives[0].size() + temporary_terms_derivatives[1].size())};
for (size_t i{2}; i < derivatives.size(); i++)
{
ncols *= getJacobianColsNbr(false);
ntt += temporary_terms_derivatives[i].size();
string gname{"g" + to_string(i)};
string gprevname{"g" + to_string(i-1)};
init_output.str("");
end_output.str("");
if (derivatives[i].size())
{
init_output << gname << "_i = zeros(" << NNZDerivatives[i] << ",1);" << endl
<< gname << "_j = zeros(" << NNZDerivatives[i] << ",1);" << endl
<< gname << "_v = zeros(" << NNZDerivatives[i] << ",1);" << endl;
end_output << gname << " = sparse("
<< gname << "_i," << gname << "_j," << gname << "_v,"
<< equations.size() << "," << ncols << ");";
}
else
init_output << gname << " = sparse([],[],[]," << equations.size() << "," << ncols << ");";
writeDynamicMFileHelper(basename, "dynamic_" + gname, gname, "dynamic_" + gname + "_tt", ntt,
"dynamic_" + gprevname + "_tt", init_output, end_output,
d_output[i], tt_output[i]);
if (i <= 3)
writeDynamicMWrapperFunction(basename, gname);
}
writeDynamicMCompatFile(basename);
}
string
DynamicModel::reform(const string &name1) const
{
string name = name1;
int pos = name.find(R"(\)", 0);
while (pos >= 0)
{
if (name.substr(pos + 1, 1) != R"(\)")
{
name = name.insert(pos, R"(\)");
pos++;
}
pos++;
pos = name.find(R"(\)", pos);
}
return name;
}
void
DynamicModel::printNonZeroHessianEquations(ostream &output) const
{
if (nonzero_hessian_eqs.size() != 1)
output << "[";
for (bool printed_something{false};
int it : nonzero_hessian_eqs)
{
if (exchange(printed_something, true))
output << " ";
output << it + 1;
}
if (nonzero_hessian_eqs.size() != 1)
output << "]";
}
void
DynamicModel::writeDynamicBlockMFile(const string &basename) const
{
filesystem::path filename {packageDir(basename) / "dynamic.m"};
ofstream output{filename, ios::out | ios::binary};
if (!output.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
output << "function [residual, y, T, g1, varargout] = dynamic(nblock, y, x, params, steady_state, T, it_, stochastic_mode)" << endl
<< " switch nblock" << endl;
for (int blk = 0; blk < static_cast<int>(blocks.size()); blk++)
{
output << " case " << blk+1 << endl;
BlockSimulationType simulation_type = blocks[blk].simulation_type;
if (simulation_type == BlockSimulationType::evaluateBackward
|| simulation_type == BlockSimulationType::evaluateForward)
output << " [y, T, g1, varargout{1:nargout-4}] = " << basename << ".block.dynamic_" << blk+1 << "(y, x, params, steady_state, T, it_, stochastic_mode);" << endl
<< " residual = [];" << endl;
else
output << " [residual, y, T, g1, varargout{1:nargout-4}] = " << basename << ".block.dynamic_" << blk+1 << "(y, x, params, steady_state, T, it_, stochastic_mode);" << endl;
}
output << " end" << endl
<< "end" << endl;
output.close();
}
void
DynamicModel::writeDynamicBlockCFile(const string &basename, vector<filesystem::path> per_block_object_files, const string &mexext, const filesystem::path &matlabroot, const filesystem::path &dynareroot) const
{
const filesystem::path filename {basename + "/model/src/dynamic.c"};
ofstream output{filename, ios::out | ios::binary};
if (!output.is_open())
{
cerr << "Error: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
output << "#include <math.h>" << endl
<< R"(#include "mex.h")" << endl;
for (int blk = 0; blk < static_cast<int>(blocks.size()); blk++)
output << R"(#include "dynamic_)" << blk+1 << R"(.h")" << endl;
output << endl;
writePowerDeriv(output);
output << endl
<< "void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[])" << endl
<< "{" << endl
<< " if (nrhs != 8)" << endl
<< R"( mexErrMsgTxt("Requires exactly 8 input arguments");)" << endl
<< " if (nlhs > 7)" << endl
<< R"( mexErrMsgTxt("Accepts at most 7 output arguments");)" << endl
<< " int nblock = (int) mxGetScalar(prhs[0]);" << endl
<< " const mxArray *y = prhs[1], *x = prhs[2], *params = prhs[3], *steady_state = prhs[4], *T = prhs[5], *it_ = prhs[6], *stochastic_mode = prhs[7];" << endl
<< " mxArray *T_new = mxDuplicateArray(T);" << endl
<< " mxArray *y_new = mxDuplicateArray(y);" << endl
<< " mxArray *residual, *g1, *g1_x, *g1_xd, *g1_o;" << endl
<< " switch (nblock)" << endl
<< " {" << endl;
for (int blk = 0; blk < static_cast<int>(blocks.size()); blk++)
{
output << " case " << blk+1 << ':' << endl;
BlockSimulationType simulation_type = blocks[blk].simulation_type;
if (simulation_type == BlockSimulationType::evaluateBackward
|| simulation_type == BlockSimulationType::evaluateForward)
output << " dynamic_" << blk+1 << "_mx(y_new, x, params, steady_state, T_new, it_, stochastic_mode, &g1, &g1_x, &g1_xd, &g1_o);" << endl
<< " residual = mxCreateDoubleMatrix(0,0,mxREAL);" << endl;
else
output << " dynamic_" << blk+1 << "_mx(y_new, x, params, steady_state, T_new, it_, stochastic_mode, &residual, &g1, &g1_x, &g1_xd, &g1_o);" << endl;
output << " break;" << endl;
}
output << " }" << endl
<< endl
<< " if (nlhs >= 1)" << endl
<< " plhs[0] = residual;" << endl
<< " else" << endl
<< " mxDestroyArray(residual);" << endl
<< " if (nlhs >= 2)" << endl
<< " plhs[1] = y_new;" << endl
<< " else" << endl
<< " mxDestroyArray(y_new);" << endl
<< " if (nlhs >= 3)" << endl
<< " plhs[2] = T_new;" << endl
<< " else" << endl
<< " mxDestroyArray(T_new);" << endl
<< " if (nlhs >= 4)" << endl
<< " plhs[3] = g1;" << endl
<< " else" << endl
<< " mxDestroyArray(g1);" << endl
<< " if (nlhs >= 5)" << endl
<< " plhs[4] = g1_x;" << endl
<< " else" << endl
<< " mxDestroyArray(g1_x);" << endl
<< " if (nlhs >= 6)" << endl
<< " plhs[5] = g1_xd;" << endl
<< " else" << endl
<< " mxDestroyArray(g1_xd);" << endl
<< " if (nlhs >= 7)" << endl
<< " plhs[6] = g1_o;" << endl
<< " else" << endl
<< " mxDestroyArray(g1_o);" << endl
<< "}" << endl;
output.close();
per_block_object_files.push_back(filename);
compileMEX(packageDir(basename), "dynamic", mexext, per_block_object_files, matlabroot, dynareroot);
}
void
DynamicModel::writeDynamicMWrapperFunction(const string &basename, const string &ending) const
{
string name;
if (ending == "g1")
name = "dynamic_resid_g1";
else if (ending == "g2")
name = "dynamic_resid_g1_g2";
else if (ending == "g3")
name = "dynamic_resid_g1_g2_g3";
filesystem::path filename {packageDir(basename) / (name + ".m")};
ofstream output{filename, ios::out | ios::binary};
if (!output.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
if (ending == "g1")
output << "function [residual, g1] = " << name << "(T, y, x, params, steady_state, it_, T_flag)" << endl
<< "% function [residual, g1] = " << name << "(T, y, x, params, steady_state, it_, T_flag)" << endl;
else if (ending == "g2")
output << "function [residual, g1, g2] = " << name << "(T, y, x, params, steady_state, it_, T_flag)" << endl
<< "% function [residual, g1, g2] = " << name << "(T, y, x, params, steady_state, it_, T_flag)" << endl;
else if (ending == "g3")
output << "function [residual, g1, g2, g3] = " << name << "(T, y, x, params, steady_state, it_, T_flag)" << endl
<< "% function [residual, g1, g2, g3] = " << name << "(T, y, x, params, steady_state, it_, T_flag)" << endl;
output << "%" << endl
<< "% Wrapper function automatically created by Dynare" << endl
<< "%" << endl
<< endl
<< " if T_flag" << endl
<< " T = " << basename << ".dynamic_" << ending << "_tt(T, y, x, params, steady_state, it_);" << endl
<< " end" << endl;
if (ending == "g1")
output << " residual = " << basename << ".dynamic_resid(T, y, x, params, steady_state, it_, false);" << endl
<< " g1 = " << basename << ".dynamic_g1(T, y, x, params, steady_state, it_, false);" << endl;
else if (ending == "g2")
output << " [residual, g1] = " << basename << ".dynamic_resid_g1(T, y, x, params, steady_state, it_, false);" << endl
<< " g2 = " << basename << ".dynamic_g2(T, y, x, params, steady_state, it_, false);" << endl;
else if (ending == "g3")
output << " [residual, g1, g2] = " << basename << ".dynamic_resid_g1_g2(T, y, x, params, steady_state, it_, false);" << endl
<< " g3 = " << basename << ".dynamic_g3(T, y, x, params, steady_state, it_, false);" << endl;
output << endl << "end" << endl;
output.close();
}
void
DynamicModel::writeDynamicMFileHelper(const string &basename,
const string &name, const string &retvalname,
const string &name_tt, size_t ttlen,
const string &previous_tt_name,
const ostringstream &init_s, const ostringstream &end_s,
const ostringstream &s, const ostringstream &s_tt) const
{
filesystem::path filename {packageDir(basename) / (name_tt + ".m")};
ofstream output{filename, ios::out | ios::binary};
if (!output.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
output << "function T = " << name_tt << "(T, y, x, params, steady_state, it_)" << endl
<< "% function T = " << name_tt << "(T, y, x, params, steady_state, it_)" << endl
<< "%" << endl
<< "% File created by Dynare Preprocessor from .mod file" << endl
<< "%" << endl
<< "% Inputs:" << endl
<< "% T [#temp variables by 1] double vector of temporary terms to be filled by function" << endl
<< "% y [#dynamic variables by 1] double vector of endogenous variables in the order stored" << endl
<< "% in M_.lead_lag_incidence; see the Manual" << endl
<< "% x [nperiods by M_.exo_nbr] double matrix of exogenous variables (in declaration order)" << endl
<< "% for all simulation periods" << endl
<< "% steady_state [M_.endo_nbr by 1] double vector of steady state values" << endl
<< "% params [M_.param_nbr by 1] double vector of parameter values in declaration order" << endl
<< "% it_ scalar double time period for exogenous variables for which" << endl
<< "% to evaluate the model" << endl
<< "%" << endl
<< "% Output:" << endl
<< "% T [#temp variables by 1] double vector of temporary terms" << endl
<< "%" << endl << endl
<< "assert(length(T) >= " << ttlen << ");" << endl
<< endl;
if (!previous_tt_name.empty())
output << "T = " << basename << "." << previous_tt_name << "(T, y, x, params, steady_state, it_);" << endl << endl;
output << s_tt.str() << endl
<< "end" << endl;
output.close();
filename = packageDir(basename) / (name + ".m");
output.open(filename, ios::out | ios::binary);
if (!output.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
output << "function " << retvalname << " = " << name << "(T, y, x, params, steady_state, it_, T_flag)" << endl
<< "% function " << retvalname << " = " << name << "(T, y, x, params, steady_state, it_, T_flag)" << endl
<< "%" << endl
<< "% File created by Dynare Preprocessor from .mod file" << endl
<< "%" << endl
<< "% Inputs:" << endl
<< "% T [#temp variables by 1] double vector of temporary terms to be filled by function" << endl
<< "% y [#dynamic variables by 1] double vector of endogenous variables in the order stored" << endl
<< "% in M_.lead_lag_incidence; see the Manual" << endl
<< "% x [nperiods by M_.exo_nbr] double matrix of exogenous variables (in declaration order)" << endl
<< "% for all simulation periods" << endl
<< "% steady_state [M_.endo_nbr by 1] double vector of steady state values" << endl
<< "% params [M_.param_nbr by 1] double vector of parameter values in declaration order" << endl
<< "% it_ scalar double time period for exogenous variables for which" << endl
<< "% to evaluate the model" << endl
<< "% T_flag boolean boolean flag saying whether or not to calculate temporary terms" << endl
<< "%" << endl
<< "% Output:" << endl
<< "% " << retvalname << endl
<< "%" << endl << endl;
if (!name_tt.empty())
output << "if T_flag" << endl
<< " T = " << basename << "." << name_tt << "(T, y, x, params, steady_state, it_);" << endl
<< "end" << endl;
output << init_s.str() << endl
<< s.str()
<< end_s.str() << endl
<< "end" << endl;
output.close();
}
void
DynamicModel::writeDynamicMCompatFile(const string &basename) const
{
filesystem::path filename {packageDir(basename) / "dynamic.m"};
ofstream output{filename, ios::out | ios::binary};
if (!output.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
int ntt { static_cast<int>(temporary_terms_derivatives[0].size() + temporary_terms_derivatives[1].size() + temporary_terms_derivatives[2].size() + temporary_terms_derivatives[3].size()) };
output << "function [residual, g1, g2, g3] = dynamic(y, x, params, steady_state, it_)" << endl
<< " T = NaN(" << ntt << ", 1);" << endl
<< " if nargout <= 1" << endl
<< " residual = " << basename << ".dynamic_resid(T, y, x, params, steady_state, it_, true);" << endl
<< " elseif nargout == 2" << endl
<< " [residual, g1] = " << basename << ".dynamic_resid_g1(T, y, x, params, steady_state, it_, true);" << endl
<< " elseif nargout == 3" << endl
<< " [residual, g1, g2] = " << basename << ".dynamic_resid_g1_g2(T, y, x, params, steady_state, it_, true);" << endl
<< " else" << endl
<< " [residual, g1, g2, g3] = " << basename << ".dynamic_resid_g1_g2_g3(T, y, x, params, steady_state, it_, true);" << endl
<< " end" << endl
<< "end" << endl;
output.close();
}
void
DynamicModel::writeDynamicJacobianNonZeroEltsFile(const string &basename) const
{
vector<pair<int, int>> nzij_pred, nzij_current, nzij_fwrd; // pairs (tsid, equation)
for (const auto &[indices, d1] : derivatives[1])
{
if (getTypeByDerivID(indices[1]) != SymbolType::endogenous)
continue;
int tsid { getTypeSpecificIDByDerivID(indices[1]) };
int lag = getLagByDerivID(indices[1]);
if (lag == -1)
nzij_pred.emplace_back(tsid, indices[0]);
else if (lag == 0)
nzij_current.emplace_back(tsid, indices[0]);
else
nzij_fwrd.emplace_back(tsid, indices[0]);
}
sort(nzij_pred.begin(), nzij_pred.end());
sort(nzij_current.begin(), nzij_current.end());
sort(nzij_fwrd.begin(), nzij_fwrd.end());
const filesystem::path filename {packageDir(basename) / "dynamic_g1_nz.m"};
ofstream output{filename, ios::out | ios::binary};
if (!output.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
output << "function [nzij_pred, nzij_current, nzij_fwrd] = dynamic_g1_nz()" << endl
<< "% Returns the coordinates of non-zero elements in the Jacobian, in column-major order, for each lead/lag (only for endogenous)" << endl;
auto print_nzij = [&output](const vector<pair<int, int>> &nzij, const string &name) {
output << " " << name << " = zeros(" << nzij.size() << ", 2, 'int32');" << endl;
for (int idx{1};
const auto &it : nzij)
{
output << " " << name << "(" << idx << ",1)=" << it.second+1 << ';'
<< " " << name << "(" << idx << ",2)=" << it.first+1 << ';' << endl;
idx++;
}
};
print_nzij(nzij_pred, "nzij_pred");
print_nzij(nzij_current, "nzij_current");
print_nzij(nzij_fwrd, "nzij_fwrd");
output << "end" << endl;
output.close();
}
vector<pair<string, string>>
DynamicModel::parseIncludeExcludeEquations(const string &inc_exc_option_value, bool exclude_eqs)
{
auto removeLeadingTrailingWhitespace = [](string &str)
{
str.erase(0, str.find_first_not_of("\t\n\v\f\r "));
str.erase(str.find_last_not_of("\t\n\v\f\r ") + 1);
};
string tags;
if (filesystem::exists(inc_exc_option_value))
{
ifstream exclude_file;
exclude_file.open(inc_exc_option_value, ifstream::in);
if (!exclude_file.is_open())
{
cerr << "ERROR: Could not open " << inc_exc_option_value << endl;
exit(EXIT_FAILURE);
}
string line;
bool tagname_on_first_line = false;
while (getline(exclude_file, line))
{
removeLeadingTrailingWhitespace(line);
if (!line.empty())
if (tags.empty() && line.find("=") != string::npos)
{
tagname_on_first_line = true;
tags += line + "(";
}
else
if (line.find("'") != string::npos)
tags += line + ",";
else
tags += "'" + line + "',";
}
if (!tags.empty())
{
tags = tags.substr(0, tags.size()-1);
if (tagname_on_first_line)
tags += ")";
}
}
else
tags = inc_exc_option_value;
removeLeadingTrailingWhitespace(tags);
if (tags.front() == '[' && tags.back() != ']')
{
cerr << "ERROR: " << (exclude_eqs ? "exclude_eqs" : "include_eqs")
<< ": if the first character is '[' the last must be ']'" << endl;
exit(EXIT_FAILURE);
}
if (tags.front() == '[' && tags.back() == ']')
tags = tags.substr(1, tags.length() - 2);
removeLeadingTrailingWhitespace(tags);
regex q(R"(^\w+\s*=)");
smatch matches;
string tagname = "name";
if (regex_search(tags, matches, q))
{
tagname = matches[0].str();
tags = tags.substr(tagname.size(), tags.length() - tagname.size() + 1);
removeLeadingTrailingWhitespace(tags);
if (tags.front() == '(' && tags.back() == ')')
{
tags = tags.substr(1, tags.length() - 2);
removeLeadingTrailingWhitespace(tags);
}
tagname = tagname.substr(0, tagname.size()-1);
removeLeadingTrailingWhitespace(tagname);
}
string quote_regex = "'[^']+'";
string non_quote_regex = R"([^,\s]+)";
regex r(R"((\s*)" + quote_regex + "|" + non_quote_regex + R"(\s*)(,\s*()" + quote_regex + "|" + non_quote_regex + R"()\s*)*)");
if (!regex_match(tags, r))
{
cerr << "ERROR: " << (exclude_eqs ? "exclude_eqs" : "include_eqs")
<< ": argument is of incorrect format." << endl;
exit(EXIT_FAILURE);
}
vector<pair<string, string>> eq_tag_set;
regex s(quote_regex + "|" + non_quote_regex);
for (auto it = sregex_iterator(tags.begin(), tags.end(), s);
it != sregex_iterator(); ++it)
{
string_view str {it->str()};
if (str.front() == '\'' && str.back() == '\'')
{
str.remove_prefix(1);
str.remove_suffix(1);
}
eq_tag_set.emplace_back(tagname, str);
}
return eq_tag_set;
}
vector<int>
DynamicModel::removeEquationsHelper(set<pair<string, string>> &listed_eqs_by_tag, bool exclude_eqs,
bool excluded_vars_change_type,
vector<BinaryOpNode *> &all_equations,
vector<optional<int>> &all_equations_lineno,
EquationTags &all_equation_tags, bool static_equations) const
{
if (all_equations.empty())
return {};
/* Try to convert the list of equations by tags into a list of equation
numbers.
The tag pairs that match an equation are removed from the list, so that
the caller knows which tag pairs have not been handled. */
set<int> listed_eqs_by_number;
for (auto it = listed_eqs_by_tag.begin(); it != listed_eqs_by_tag.end();)
if (auto tmp = all_equation_tags.getEqnsByTag(it->first, it->second);
!tmp.empty())
{
listed_eqs_by_number.insert(tmp.begin(), tmp.end());
it = listed_eqs_by_tag.erase(it);
}
else
++it;
// Compute the indices of equations to be actually deleted
set<int> eqs_to_delete_by_number;
if (exclude_eqs)
eqs_to_delete_by_number = listed_eqs_by_number;
else
for (size_t i = 0; i < all_equations.size(); i++)
if (!listed_eqs_by_number.contains(i))
eqs_to_delete_by_number.insert(i);
// remove from equations, equations_lineno, equation_tags
vector<BinaryOpNode *> new_equations;
vector<optional<int>> new_equations_lineno;
map<int, int> old_eqn_num_2_new;
vector<int> excluded_vars;
for (size_t i = 0; i < all_equations.size(); i++)
if (eqs_to_delete_by_number.contains(i))
{
if (excluded_vars_change_type)
if (auto tmp = all_equation_tags.getTagValueByEqnAndKey(i, "endogenous"); tmp)
excluded_vars.push_back(symbol_table.getID(*tmp));
else
{
set<int> result;
all_equations[i]->arg1->collectVariables(SymbolType::endogenous, result);
if (result.size() == 1)
excluded_vars.push_back(*result.begin());
else
{
cerr << "ERROR: Equation " << i+1
<< " has been excluded but it does not have a single variable on its left-hand side or an `endogenous` tag" << endl;
exit(EXIT_FAILURE);
}
}
}
else
{
new_equations.emplace_back(all_equations[i]);
old_eqn_num_2_new[i] = new_equations.size() - 1;
new_equations_lineno.emplace_back(all_equations_lineno[i]);
}
int n_excl = all_equations.size() - new_equations.size();
all_equations = new_equations;
all_equations_lineno = new_equations_lineno;
all_equation_tags.erase(eqs_to_delete_by_number, old_eqn_num_2_new);
if (!static_equations)
for (size_t i = 0; i < excluded_vars.size(); i++)
for (size_t j = i+1; j < excluded_vars.size(); j++)
if (excluded_vars[i] == excluded_vars[j])
{
cerr << "ERROR: Variable " << symbol_table.getName(i) << " was excluded twice"
<< " via a model_remove or model_replace statement, or via the include_eqs or exclude_eqs option" << endl;
exit(EXIT_FAILURE);
}
cout << "Excluded " << n_excl << (static_equations ? " static " : " dynamic ")
<< "equation" << (n_excl > 1 ? "s" : "") << " via model_remove or model_replace statement, or via include_eqs or exclude_eqs option" << endl;
return excluded_vars;
}
void
DynamicModel::removeEquations(const vector<pair<string, string>> &listed_eqs_by_tag, bool exclude_eqs,
bool excluded_vars_change_type)
{
/* Convert the const vector to a (mutable) set */
set listed_eqs_by_tag2(listed_eqs_by_tag.begin(), listed_eqs_by_tag.end());
vector<int> excluded_vars = removeEquationsHelper(listed_eqs_by_tag2, exclude_eqs,
excluded_vars_change_type,
equations, equations_lineno,
equation_tags, false);
// Ignore output because variables are not excluded when equations marked 'static' are excluded
removeEquationsHelper(listed_eqs_by_tag2, exclude_eqs, excluded_vars_change_type,
static_only_equations, static_only_equations_lineno,
static_only_equations_equation_tags, true);
if (!listed_eqs_by_tag2.empty())
{
cerr << "ERROR: model_remove/model_replace/exclude_eqs/include_eqs: The equations specified by" << endl;
for (const auto &[tagname, tagvalue] : listed_eqs_by_tag)
cerr << " " << tagname << "=" << tagvalue << endl;
cerr << "were not found." << endl;
exit(EXIT_FAILURE);
}
if (excluded_vars_change_type)
{
// Collect list of used variables in updated list of equations
set<int> eqn_vars;
for (auto eqn : equations)
eqn->collectVariables(SymbolType::endogenous, eqn_vars);
for (auto eqn : static_only_equations)
eqn->collectVariables(SymbolType::endogenous, eqn_vars);
/* Change type of endogenous variables determined by excluded equations.
They become exogenous if they are still used somewhere, otherwise they are
completely excluded from the model. */
for (auto ev : excluded_vars)
if (eqn_vars.contains(ev))
{
symbol_table.changeType(ev, SymbolType::exogenous);
cerr << "Variable '" << symbol_table.getName(ev) << "' turned into an exogenous, as its defining equation has been removed (but it still appears in an equation)" << endl;
}
else
{
symbol_table.changeType(ev, SymbolType::excludedVariable);
cerr << "Variable '" << symbol_table.getName(ev) << "' has been excluded from the model, as its defining equation has been removed and it appears nowhere else" << endl;
}
}
}
void
DynamicModel::includeExcludeEquations(const string &inc_exc_option_value, bool exclude_eqs)
{
if (inc_exc_option_value.empty())
return;
auto listed_eqs_by_tag = parseIncludeExcludeEquations(inc_exc_option_value, exclude_eqs);
removeEquations(listed_eqs_by_tag, exclude_eqs, true);
/* There is already a check about #static and #dynamic in
ModFile::checkPass(), but the present method is called from
ModFile::transformPass(), so we must do the check again */
if (staticOnlyEquationsNbr() != dynamicOnlyEquationsNbr())
{
cerr << "ERROR: exclude_eqs/include_eqs: You must remove the same number of equations marked `static` as equations marked `dynamic`." << endl;
exit(EXIT_FAILURE);
}
}
void
DynamicModel::writeBlockDriverOutput(ostream &output, const string &basename,
const vector<int> &state_var, bool estimation_present) const
{
output << "M_.block_structure.time_recursive = " << boolalpha << time_recursive_block_decomposition << ";" << endl;
for (int blk = 0; blk < static_cast<int>(blocks.size()); blk++)
{
int block_size = blocks[blk].size;
output << "M_.block_structure.block(" << blk+1 << ").Simulation_Type = " << static_cast<int>(blocks[blk].simulation_type) << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").maximum_lag = " << blocks[blk].max_lag << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").maximum_lead = " << blocks[blk].max_lead << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").maximum_endo_lag = " << blocks[blk].max_endo_lag << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").maximum_endo_lead = " << blocks[blk].max_endo_lead << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").maximum_exo_lag = " << blocks[blk].max_exo_lag << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").maximum_exo_lead = " << blocks[blk].max_exo_lead << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").maximum_exo_det_lag = " << blocks[blk].max_exo_det_lag << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").maximum_exo_det_lead = " << blocks[blk].max_exo_det_lead << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").endo_nbr = " << block_size << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").mfs = " << blocks[blk].mfs_size << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").equation = [";
for (int eq = 0; eq < block_size; eq++)
output << " " << getBlockEquationID(blk, eq)+1;
output << "];" << endl
<< "M_.block_structure.block(" << blk+1 << ").variable = [";
for (int var = 0; var < block_size; var++)
output << " " << getBlockVariableID(blk, var)+1;
output << "];" << endl
<< "M_.block_structure.block(" << blk+1 << ").exogenous = [";
for (int exo : blocks_exo[blk])
output << " " << exo+1;
output << "];" << endl
<< "M_.block_structure.block(" << blk+1 << ").exo_nbr = " << blocks_exo[blk].size() << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").exogenous_det = [";
for (int exo_det : blocks_exo_det[blk])
output << " " << exo_det+1;
output << "];" << endl
<< "M_.block_structure.block(" << blk+1 << ").exo_det_nbr = " << blocks_exo_det[blk].size() << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").other_endogenous = [";
for (int other_endo : blocks_other_endo[blk])
output << " " << other_endo+1;
output << "];" << endl
<< "M_.block_structure.block(" << blk+1 << ").other_endogenous_block = [";
for (int other_endo : blocks_other_endo[blk])
output << " " << endo2block[other_endo]+1;
output << "];" << endl;
output << "M_.block_structure.block(" << blk+1 << ").tm1 = zeros(" << blocks_other_endo[blk].size() << ", " << state_var.size() << ");" << endl;
for (int line{1};
auto other_endo : blocks_other_endo[blk])
{
if (auto it = find(state_var.begin(), state_var.end(), other_endo);
it != state_var.end())
output << "M_.block_structure.block(" << blk+1 << ").tm1("
<< line << ", "
<< distance(state_var.begin(), it)+1 << ") = 1;" << endl;
line++;
}
output << "M_.block_structure.block(" << blk+1 << ").other_endo_nbr = " << blocks_other_endo[blk].size() << ";" << endl;
int count_lead_lag_incidence = 0;
vector<int> local_state_var;
output << "M_.block_structure.block(" << blk+1 << ").lead_lag_incidence = [" << endl;
for (int lag = -1; lag <= 1; lag++)
{
for (int var = 0; var < block_size; var++)
{
for (int eq = 0; eq < block_size; eq++)
if (blocks_derivatives[blk].contains({ eq, var, lag }))
{
if (lag == -1)
local_state_var.push_back(getBlockVariableID(blk, var));
output << " " << ++count_lead_lag_incidence;
goto var_found;
}
output << " 0";
var_found:
;
}
output << ";" << endl;
}
output << "];" << endl;
output << "M_.block_structure.block(" << blk+1 << ").sorted_col_dr_ghx = [";
for (int lsv : local_state_var)
output << distance(state_var.begin(), find(state_var.begin(), state_var.end(), lsv))+1 << " ";
output << "];" << endl;
count_lead_lag_incidence = 0;
output << "M_.block_structure.block(" << blk+1 << ").lead_lag_incidence_other = [" << endl;
for (int lag = -1; lag <= 1; lag++)
{
for (int other_endo : blocks_other_endo[blk])
{
for (int eq = 0; eq < block_size; eq++)
if (blocks_derivatives_other_endo[blk].contains({ eq, other_endo, lag }))
{
output << " " << ++count_lead_lag_incidence;
goto other_endo_found;
}
output << " 0";
other_endo_found:
;
}
output << ";" << endl;
}
output << "];" << endl;
output << "M_.block_structure.block(" << blk+1 << ").n_static = " << blocks[blk].n_static << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").n_forward = " << blocks[blk].n_forward << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").n_backward = " << blocks[blk].n_backward << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").n_mixed = " << blocks[blk].n_mixed << ";" << endl
<< "M_.block_structure.block(" << blk+1 << ").is_linear = " << boolalpha << blocks[blk].linear << ';' << endl
<< "M_.block_structure.block(" << blk+1 << ").NNZDerivatives = " << blocks_derivatives[blk].size() << ';' << endl;
}
writeBlockDriverSparseIndicesHelper<true>(output);
output << "M_.block_structure.variable_reordered = [";
for (int i = 0; i < symbol_table.endo_nbr(); i++)
output << " " << endo_idx_block2orig[i]+1;
output << "];" << endl
<< "M_.block_structure.equation_reordered = [";
for (int i = 0; i < symbol_table.endo_nbr(); i++)
output << " " << eq_idx_block2orig[i]+1;
output << "];" << endl;
map<int, set<pair<int, int>>> lag_row_incidence;
for (const auto &[indices, d1] : derivatives[1])
if (int deriv_id = indices[1];
getTypeByDerivID(deriv_id) == SymbolType::endogenous)
{
int eq = indices[0];
int var { getTypeSpecificIDByDerivID(deriv_id) };
int lag = getLagByDerivID(deriv_id);
lag_row_incidence[lag].insert({ eq, var });
}
for (auto [lag, eq_var_set] : lag_row_incidence)
{
output << "M_.block_structure.incidence(" << max_endo_lag+lag+1 << ").lead_lag = " << lag << ";" << endl
<< "M_.block_structure.incidence(" << max_endo_lag+lag+1 << ").sparse_IM = [" << endl;
for (auto [eq, var] : eq_var_set)
output << " " << eq+1 << " " << var+1 << ";" << endl;
output << "];" << endl;
}
output << "M_.block_structure.dyn_tmp_nbr = " << blocks_temporary_terms_idxs.size() << ';' << endl;
if (estimation_present)
{
filesystem::create_directories(basename + "/model/bytecode");
const filesystem::path main_name {basename + "/model/bytecode/kfi"};
ofstream KF_index_file{main_name, ios::out | ios::binary | ios::ate};
if (!KF_index_file.is_open())
{
cerr << "ERROR: Can't open file " << main_name.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
int n_obs = symbol_table.observedVariablesNbr();
int n_state = state_var.size();
for (int it : state_var)
if (symbol_table.isObservedVariable(symbol_table.getID(SymbolType::endogenous, it)))
n_obs--;
int n = n_obs + n_state;
output << "M_.nobs_non_statevar = " << n_obs << ";" << endl;
int nb_diag = 0;
vector<int> i_nz_state_var(n);
for (int i = 0; i < n_obs; i++)
i_nz_state_var[i] = n;
int lp = n_obs;
vector<int> state_equ;
for (int it : state_var)
state_equ.push_back(eq_idx_block2orig[endo_idx_orig2block[it]]);
for (int blk = 0; blk < static_cast<int>(blocks.size()); blk++)
{
int nze = 0;
for (int i = 0; i < blocks[blk].size; i++)
if (int var = getBlockVariableID(blk, i);
find(state_var.begin(), state_var.end(), var) != state_var.end())
nze++;
if (blk == 0)
{
set<pair<int, int>> row_state_var_incidence;
for (const auto &[idx, ignore] : blocks_derivatives[blk])
if (auto it_state_var = find(state_var.begin(), state_var.end(), getBlockVariableID(blk, get<1>(idx)));
it_state_var != state_var.end())
if (auto it_state_equ = find(state_equ.begin(), state_equ.end(), getBlockEquationID(blk, get<0>(idx)));
it_state_equ != state_equ.end())
row_state_var_incidence.emplace(it_state_equ - state_equ.begin(), it_state_var - state_var.begin());
auto row_state_var_incidence_it = row_state_var_incidence.begin();
bool diag = true;
int nb_diag_r = 0;
while (row_state_var_incidence_it != row_state_var_incidence.end() && diag)
{
diag = (row_state_var_incidence_it->first == row_state_var_incidence_it->second);
if (diag)
{
int equ = row_state_var_incidence_it->first;
row_state_var_incidence_it++;
if (equ != row_state_var_incidence_it->first)
nb_diag_r++;
}
}
set<pair<int, int>> col_state_var_incidence;
for (auto [equ, var] : row_state_var_incidence)
col_state_var_incidence.emplace(var, equ);
auto col_state_var_incidence_it = col_state_var_incidence.begin();
diag = true;
int nb_diag_c = 0;
while (col_state_var_incidence_it != col_state_var_incidence.end() && diag)
{
diag = (col_state_var_incidence_it->first == col_state_var_incidence_it->second);
if (diag)
{
int var = col_state_var_incidence_it->first;
col_state_var_incidence_it++;
if (var != col_state_var_incidence_it->first)
nb_diag_c++;
}
}
nb_diag = min(nb_diag_r, nb_diag_c);
row_state_var_incidence.clear();
col_state_var_incidence.clear();
}
for (int i = 0; i < nze; i++)
i_nz_state_var[lp + i] = lp + nze;
lp += nze;
}
output << "M_.nz_state_var = [";
for (int i = 0; i < lp; i++)
output << i_nz_state_var[i] << " ";
output << "];" << endl
<< "M_.n_diag = " << nb_diag << ";" << endl;
KF_index_file.write(reinterpret_cast<char *>(&nb_diag), sizeof(nb_diag));
using index_KF = pair<int, pair<int, int >>;
vector<index_KF> v_index_KF;
for (int i = 0; i < n; i++)
for (int j = n_obs; j < n; j++)
{
int j1 = j - n_obs;
int j1_n_state = j1 * n_state - n_obs;
if ((i < n_obs) || (i >= nb_diag + n_obs) || (j1 >= nb_diag))
for (int k = n_obs; k < i_nz_state_var[i]; k++)
v_index_KF.emplace_back(i + j1 * n, pair(i + k * n, k + j1_n_state));
}
int size_v_index_KF = v_index_KF.size();
KF_index_file.write(reinterpret_cast<char *>(&size_v_index_KF), sizeof(size_v_index_KF));
for (auto &it : v_index_KF)
KF_index_file.write(reinterpret_cast<char *>(&it), sizeof(index_KF));
vector<index_KF> v_index_KF_2;
int n_n_obs = n * n_obs;
for (int i = 0; i < n; i++)
for (int j = i; j < n; j++)
if ((i < n_obs) || (i >= nb_diag + n_obs) || (j < n_obs) || (j >= nb_diag + n_obs))
for (int k = n_obs; k < i_nz_state_var[j]; k++)
{
int k_n = k * n;
v_index_KF_2.emplace_back(i * n + j, pair(i + k_n - n_n_obs, j + k_n));
}
int size_v_index_KF_2 = v_index_KF_2.size();
KF_index_file.write(reinterpret_cast<char *>(&size_v_index_KF_2), sizeof(size_v_index_KF_2));
for (auto &it : v_index_KF_2)
KF_index_file.write(reinterpret_cast<char *>(&it), sizeof(index_KF));
KF_index_file.close();
}
}
void
DynamicModel::writeDriverOutput(ostream &output, const string &basename, bool estimation_present, bool compute_xrefs) const
{
/* Writing initialisation for M_.lead_lag_incidence matrix
M_.lead_lag_incidence is a matrix with as many columns as there are
endogenous variables and as many rows as there are periods in the
models (nbr of rows = M_.max_lag+M_.max_lead+1)
The matrix elements are equal to zero if a variable isn't present in the
model at a given period.
*/
output << "M_.orig_maximum_endo_lag = " << max_endo_lag_orig << ";" << endl
<< "M_.orig_maximum_endo_lead = " << max_endo_lead_orig << ";" << endl
<< "M_.orig_maximum_exo_lag = " << max_exo_lag_orig << ";" << endl
<< "M_.orig_maximum_exo_lead = " << max_exo_lead_orig << ";" << endl
<< "M_.orig_maximum_exo_det_lag = " << max_exo_det_lag_orig << ";" << endl
<< "M_.orig_maximum_exo_det_lead = " << max_exo_det_lead_orig << ";" << endl
<< "M_.orig_maximum_lag = " << max_lag_orig << ";" << endl
<< "M_.orig_maximum_lead = " << max_lead_orig << ";" << endl
<< "M_.orig_maximum_lag_with_diffs_expanded = " << max_lag_with_diffs_expanded_orig << ";" << endl
<< "M_.lead_lag_incidence = [";
// Loop on endogenous variables
int nstatic = 0,
nfwrd = 0,
npred = 0,
nboth = 0;
for (int endoID = 0; endoID < symbol_table.endo_nbr(); endoID++)
{
output << endl;
int sstatic = 1,
sfwrd = 0,
spred = 0,
sboth = 0;
// Loop on periods
for (int lag = -max_endo_lag; lag <= max_endo_lead; lag++)
{
// Print variableID if exists with current period, otherwise print 0
try
{
int varID = getDerivID(symbol_table.getID(SymbolType::endogenous, endoID), lag);
output << " " << getJacobianCol(varID, false) + 1;
if (lag == -1)
{
sstatic = 0;
spred = 1;
}
else if (lag == 1)
{
if (spred == 1)
{
sboth = 1;
spred = 0;
}
else
{
sstatic = 0;
sfwrd = 1;
}
}
}
catch (UnknownDerivIDException &e)
{
output << " 0";
}
}
nstatic += sstatic;
nfwrd += sfwrd;
npred += spred;
nboth += sboth;
output << ";";
}
output << "]';" << endl
<< "M_.nstatic = " << nstatic << ";" << endl
<< "M_.nfwrd = " << nfwrd << ";" << endl
<< "M_.npred = " << npred << ";" << endl
<< "M_.nboth = " << nboth << ";" << endl
<< "M_.nsfwrd = " << nfwrd+nboth << ";" << endl
<< "M_.nspred = " << npred+nboth << ";" << endl
<< "M_.ndynamic = " << npred+nboth+nfwrd << ";" << endl
<< "M_.dynamic_tmp_nbr = [";
for (const auto &tts : temporary_terms_derivatives)
output << tts.size() << "; ";
output << "];" << endl;
// Write equation tags
equation_tags.writeOutput(output);
// Write mapping for variables and equations they are present in
for (const auto &variable : variableMapping)
{
output << "M_.mapping." << symbol_table.getName(variable.first) << ".eqidx = [";
for (auto equation : variable.second)
output << equation + 1 << " ";
output << "];" << endl;
}
/* Say if static and dynamic models differ (because of [static] and [dynamic]
equation tags) */
output << "M_.static_and_dynamic_models_differ = "
<< boolalpha << (static_only_equations.size() > 0)
<< ";" << endl;
// Say if model contains an external function call
bool has_external_function = false;
for (auto equation : equations)
if (equation->containsExternalFunction())
{
has_external_function = true;
break;
}
output << "M_.has_external_function = " << boolalpha << has_external_function
<< ';' << endl;
// Compute list of state variables, ordered in block-order
vector<int> state_var;
for (int endoID = 0; endoID < symbol_table.endo_nbr(); endoID++)
// Loop on negative lags
for (int lag = -max_endo_lag; lag < 0; lag++)
try
{
getDerivID(symbol_table.getID(SymbolType::endogenous, endo_idx_block2orig[endoID]), lag);
if (find(state_var.begin(), state_var.end(), endo_idx_block2orig[endoID]) == state_var.end())
state_var.push_back(endo_idx_block2orig[endoID]);
}
catch (UnknownDerivIDException &e)
{
}
// Write the block structure of the model
if (block_decomposed)
writeBlockDriverOutput(output, basename, state_var, estimation_present);
output << "M_.state_var = [";
for (int it : state_var)
output << it+1 << " ";
output << "];" << endl;
// Writing initialization for some other variables
output << "M_.exo_names_orig_ord = [1:" << symbol_table.exo_nbr() << "];" << endl;
output << "M_.maximum_lag = " << max_lag << ";" << endl
<< "M_.maximum_lead = " << max_lead << ";" << endl;
output << "M_.maximum_endo_lag = " << max_endo_lag << ";" << endl
<< "M_.maximum_endo_lead = " << max_endo_lead << ";" << endl
<< "oo_.steady_state = zeros(" << symbol_table.endo_nbr() << ", 1);" << endl;
output << "M_.maximum_exo_lag = " << max_exo_lag << ";" << endl
<< "M_.maximum_exo_lead = " << max_exo_lead << ";" << endl
<< "oo_.exo_steady_state = zeros(" << symbol_table.exo_nbr() << ", 1);" << endl;
if (symbol_table.exo_det_nbr())
{
output << "M_.maximum_exo_det_lag = " << max_exo_det_lag << ";" << endl
<< "M_.maximum_exo_det_lead = " << max_exo_det_lead << ";" << endl
<< "oo_.exo_det_steady_state = zeros(" << symbol_table.exo_det_nbr() << ", 1);" << endl;
}
output << "M_.params = " << "NaN(" << symbol_table.param_nbr() << ", 1);" << endl;
string empty_cell = "cell(" + to_string(symbol_table.endo_nbr()) + ", 1)";
output << "M_.endo_trends = struct('deflator', " << empty_cell
<< ", 'log_deflator', " << empty_cell << ", 'growth_factor', " << empty_cell
<< ", 'log_growth_factor', " << empty_cell << ");" << endl;
for (int i = 0; i < symbol_table.endo_nbr(); i++)
{
int symb_id = symbol_table.getID(SymbolType::endogenous, i);
if (auto it = nonstationary_symbols_map.find(symb_id); it != nonstationary_symbols_map.end())
{
auto [is_log, deflator] = it->second;
output << "M_.endo_trends(" << i+1 << ")."
<< (is_log ? "log_deflator" : "deflator") << " = '";
deflator->writeJsonOutput(output, {}, {});
output << "';" << endl;
auto growth_factor = const_cast<DynamicModel *>(this)->AddDivide(deflator, deflator->decreaseLeadsLags(1))->removeTrendLeadLag(trend_symbols_map)->replaceTrendVar();
output << "M_.endo_trends(" << i+1 << ")."
<< (is_log ? "log_growth_factor" : "growth_factor") << " = '";
growth_factor->writeJsonOutput(output, {}, {});
output << "';" << endl;
}
}
if (compute_xrefs)
writeXrefs(output);
// Write number of non-zero derivatives
// Use -1 if the derivatives have not been computed
output << "M_.NNZDerivatives = [";
for (int i = 1; i < static_cast<int>(NNZDerivatives.size()); i++)
output << (i > computed_derivs_order ? -1 : NNZDerivatives[i]) << "; ";
output << "];" << endl;
writeDriverSparseIndicesHelper<true>(output);
// Write LHS of each equation in text form
output << "M_.lhs = {" << endl;
for (auto eq : equations)
{
output << "'";
eq->arg1->writeJsonOutput(output, {}, {});
output << "'; " << endl;
}
output << "};" << endl;
}
void
DynamicModel::runTrendTest(const eval_context_t &eval_context)
{
computeDerivIDs();
testTrendDerivativesEqualToZero(eval_context);
}
void
DynamicModel::updateVarAndTrendModel() const
{
for (bool var : { true, false })
{
map<string, vector<optional<int>>> trend_varr;
map<string, vector<set<pair<int, int>>>> rhsr;
for (const auto &[model_name, eqns] : (var ? var_model_table.getEqNums()
: trend_component_model_table.getEqNums()))
{
vector<int> lhs, trend_lhs;
vector<optional<int>> trend_var;
vector<set<pair<int, int>>> rhs;
if (!var)
{
lhs = trend_component_model_table.getLhs(model_name);
for (auto teqn : trend_component_model_table.getTargetEqNums().at(model_name))
{
int eqnidx = 0;
for (auto eqn : eqns)
{
if (eqn == teqn)
trend_lhs.push_back(lhs[eqnidx]);
eqnidx++;
}
}
}
int lhs_idx = 0;
for (auto eqn : eqns)
{
set<pair<int, int>> rhs_set;
equations[eqn]->arg2->collectDynamicVariables(SymbolType::endogenous, rhs_set);
rhs.push_back(rhs_set);
if (!var)
{
int lhs_symb_id = lhs[lhs_idx++];
if (symbol_table.isDiffAuxiliaryVariable(lhs_symb_id))
try
{
lhs_symb_id = symbol_table.getOrigSymbIdForAuxVar(lhs_symb_id);
}
catch (...)
{
}
optional<int> trend_var_symb_id = equations[eqn]->arg2->findTargetVariable(lhs_symb_id);
if (trend_var_symb_id)
{
if (symbol_table.isDiffAuxiliaryVariable(*trend_var_symb_id))
try
{
trend_var_symb_id = symbol_table.getOrigSymbIdForAuxVar(*trend_var_symb_id);
}
catch (...)
{
}
if (find(trend_lhs.begin(), trend_lhs.end(), *trend_var_symb_id) == trend_lhs.end())
{
cerr << "ERROR: trend found in trend_component equation #" << eqn << " ("
<< symbol_table.getName(*trend_var_symb_id) << ") does not correspond to a trend equation" << endl;
exit(EXIT_FAILURE);
}
}
trend_var.push_back(move(trend_var_symb_id));
}
}
rhsr[model_name] = rhs;
if (!var)
trend_varr[model_name] = trend_var;
}
if (var)
var_model_table.setRhs(move(rhsr));
else
{
trend_component_model_table.setRhs(move(rhsr));
trend_component_model_table.setTargetVar(move(trend_varr));
}
}
}
void
DynamicModel::fillVarModelTable() const
{
map<string, vector<int>> eqnums, lhsr;
map<string, vector<expr_t>> lhs_expr_tr;
map<string, vector<set<pair<int, int>>>> rhsr;
for (const auto &[model_name, eqtags] : var_model_table.getEqTags())
{
vector<int> eqnumber, lhs;
vector<expr_t> lhs_expr_t;
vector<set<pair<int, int>>> rhs;
for (const auto &eqtag : eqtags)
{
set<pair<int, int>> lhs_set, lhs_tmp_set, rhs_set;
optional<int> eqn { equation_tags.getEqnByTag("name", eqtag) };
if (!eqn)
{
cerr << "ERROR: no equation is named '" << eqtag << "'" << endl;
exit(EXIT_FAILURE);
}
equations[*eqn]->arg1->collectDynamicVariables(SymbolType::endogenous, lhs_set);
equations[*eqn]->arg1->collectDynamicVariables(SymbolType::exogenous, lhs_tmp_set);
equations[*eqn]->arg1->collectDynamicVariables(SymbolType::parameter, lhs_tmp_set);
if (lhs_set.size() != 1 || !lhs_tmp_set.empty())
{
cerr << "ERROR: in Equation " << eqtag
<< ". A VAR may only have one endogenous variable on the LHS. " << endl;
exit(EXIT_FAILURE);
}
auto itlhs = lhs_set.begin();
if (itlhs->second != 0)
{
cerr << "ERROR: in Equation " << eqtag
<< ". The variable on the LHS of a VAR may not appear with a lead or a lag. "
<< endl;
exit(EXIT_FAILURE);
}
eqnumber.push_back(*eqn);
lhs.push_back(itlhs->first);
lhs_set.clear();
set<expr_t> lhs_expr_t_set;
equations[*eqn]->arg1->collectVARLHSVariable(lhs_expr_t_set);
lhs_expr_t.push_back(*(lhs_expr_t_set.begin()));
equations[*eqn]->arg2->collectDynamicVariables(SymbolType::endogenous, rhs_set);
rhs.push_back(rhs_set);
}
eqnums[model_name] = eqnumber;
lhsr[model_name] = lhs;
lhs_expr_tr[model_name] = lhs_expr_t;
rhsr[model_name] = rhs;
}
var_model_table.setEqNums(move(eqnums));
var_model_table.setLhs(move(lhsr));
var_model_table.setRhs(move(rhsr));
var_model_table.setLhsExprT(move(lhs_expr_tr));
}
void
DynamicModel::fillVarModelTableFromOrigModel() const
{
map<string, vector<int>> lags;
map<string, vector<optional<int>>> orig_diff_var;
map<string, vector<bool>> diff;
for (const auto &[model_name, eqns] : var_model_table.getEqNums())
{
set<expr_t> lhs;
vector<optional<int>> orig_diff_var_vec;
vector<bool> diff_vec;
for (auto eqn : eqns)
{
// Perform some sanity checks on the RHS
optional<string> eqtag { equation_tags.getTagValueByEqnAndKey(eqn, "name") };
set<pair<int, int>> rhs_endo_set, rhs_exo_set;
equations[eqn]->arg2->collectDynamicVariables(SymbolType::endogenous, rhs_endo_set);
for (const auto &[symb_id, lag] : rhs_endo_set)
if (lag > 0)
{
cerr << "ERROR: in Equation " << eqtag.value_or(to_string(eqn+1))
<< ". A VAR model may not have leaded endogenous variables on the RHS. " << endl;
exit(EXIT_FAILURE);
}
else if (!var_model_table.getStructural().at(model_name) && lag == 0)
{
cerr << "ERROR: in Equation " << eqtag.value_or(to_string(eqn+1))
<< ". A non-structural VAR model may not have contemporaneous endogenous variables on the RHS. " << endl;
exit(EXIT_FAILURE);
}
equations[eqn]->arg2->collectDynamicVariables(SymbolType::exogenous, rhs_exo_set);
for (const auto &[symb_id, lag] : rhs_exo_set)
if (lag != 0)
{
cerr << "ERROR: in Equation " << eqtag.value_or(to_string(eqn+1))
<< ". A VAR model may not have lagged or leaded exogenous variables on the RHS. " << endl;
exit(EXIT_FAILURE);
}
// save lhs variables
equations[eqn]->arg1->collectVARLHSVariable(lhs);
equations[eqn]->arg1->countDiffs() > 0 ?
diff_vec.push_back(true) : diff_vec.push_back(false);
if (diff_vec.back())
{
set<pair<int, int>> diff_set;
equations[eqn]->arg1->collectDynamicVariables(SymbolType::endogenous, diff_set);
if (diff_set.size() != 1)
{
cerr << "ERROR: problem getting variable for LHS diff operator in equation "
<< eqn << endl;
exit(EXIT_FAILURE);
}
orig_diff_var_vec.push_back(diff_set.begin()->first);
}
else
orig_diff_var_vec.push_back(nullopt);
}
if (eqns.size() != lhs.size())
{
cerr << "ERROR: The LHS variables of the VAR model are not unique" << endl;
exit(EXIT_FAILURE);
}
set<expr_t> lhs_lag_equiv;
for (const auto &lh : lhs)
{
auto [lag_equiv_repr, index] = lh->getLagEquivalenceClass();
lhs_lag_equiv.insert(lag_equiv_repr);
}
vector<int> max_lag;
for (auto eqn : eqns)
max_lag.push_back(equations[eqn]->arg2->VarMaxLag(lhs_lag_equiv));
lags[model_name] = max_lag;
diff[model_name] = diff_vec;
orig_diff_var[model_name] = orig_diff_var_vec;
}
var_model_table.setDiff(move(diff));
var_model_table.setMaxLags(move(lags));
var_model_table.setOrigDiffVar(move(orig_diff_var));
}
vector<int>
DynamicModel::getVARDerivIDs(int lhs_symb_id, int lead_lag) const
{
vector<int> deriv_ids;
// First directly look for the variable itself
if (auto it = deriv_id_table.find({ lhs_symb_id, lead_lag });
it != deriv_id_table.end())
deriv_ids.push_back(it->second);
// Then go through auxiliary variables
for (auto &[key, deriv_id2] : deriv_id_table)
{
auto [symb_id2, lead_lag2] = key;
const AuxVarInfo *avi;
try
{
avi = &symbol_table.getAuxVarInfo(symb_id2);
}
catch (SymbolTable::UnknownSymbolIDException)
{
continue;
}
if (avi->type == AuxVarType::endoLag && avi->orig_symb_id.value() == lhs_symb_id
&& avi->orig_lead_lag.value() + lead_lag2 == lead_lag)
deriv_ids.push_back(deriv_id2);
// Handle diff lag auxvar, possibly nested several times
int diff_lag_depth = 0;
while (avi->type == AuxVarType::diffLag)
{
diff_lag_depth++;
if (avi->orig_symb_id == lhs_symb_id && lead_lag2 - diff_lag_depth == lead_lag)
{
deriv_ids.push_back(deriv_id2);
break;
}
try
{
avi = &symbol_table.getAuxVarInfo(avi->orig_symb_id.value());
}
catch (SymbolTable::UnknownSymbolIDException)
{
break;
}
}
}
return deriv_ids;
}
void
DynamicModel::fillVarModelTableMatrices()
{
map<string, map<tuple<int, int, int>, expr_t>> AR;
map<string, map<tuple<int, int>, expr_t>> A0;
map<string, map<int, expr_t>> constants;
for (const auto &[model_name, eqns] : var_model_table.getEqNums())
{
const vector<int> &lhs = var_model_table.getLhs(model_name);
int max_lag = var_model_table.getMaxLag(model_name);
for (auto lhs_symb_id : lhs)
{
// Fill autoregressive matrix (AR)
for (int lag = 1; lag <= max_lag; lag++)
{
vector<int> deriv_ids = getVARDerivIDs(lhs_symb_id, -lag);;
for (size_t i = 0; i < eqns.size(); i++)
{
expr_t d = Zero;
for (int deriv_id : deriv_ids)
d = AddPlus(d, equations[eqns[i]]->getDerivative(deriv_id));
if (d != Zero)
{
if (!d->isConstant())
{
cerr << "ERROR: Equation " << equation_tags.getTagValueByEqnAndKey(eqns[i], "name").value_or(to_string(eqns[i]+1)) << " is not linear" << endl;
exit(EXIT_FAILURE);
}
AR[model_name][{ i, lag, lhs_symb_id }] = AddUMinus(d);
}
}
}
// Fill A0 matrix (for contemporaneous variables)
int lhs_deriv_id = getDerivID(lhs_symb_id, 0);
for (size_t i = 0; i < eqns.size(); i++)
{
expr_t d = equations[eqns[i]]->getDerivative(lhs_deriv_id);
if (d != Zero)
{
if (!d->isConstant())
{
cerr << "ERROR: Equation " << equation_tags.getTagValueByEqnAndKey(eqns[i], "name").value_or(to_string(eqns[i]+1)) << " is not linear" << endl;
exit(EXIT_FAILURE);
}
A0[model_name][{ i, lhs_symb_id }] = d;
}
}
// Fill constants vector
// Constants are computed by replacing all (transformed) endos and exos by zero
constants[model_name] = {}; // Ensure that the map exists, even if constants are all zero
for (size_t i = 0; i < eqns.size(); i++)
{
auto rhs = equations[eqns[i]]->arg2;
map<VariableNode *, NumConstNode *> subst_table;
auto rhs_vars = var_model_table.getRhs(model_name)[i]; // All the (transformed) endogenous on RHS, as computed by updateVarAndTrendModel()
rhs->collectDynamicVariables(SymbolType::exogenous, rhs_vars); // Add exos
for (auto [symb_id, lag] : rhs_vars)
subst_table[AddVariable(symb_id, lag)] = Zero;
expr_t c = rhs->replaceVarsInEquation(subst_table);
if (c != Zero)
constants[model_name][i] = c;
}
}
}
var_model_table.setAR(move(AR));
var_model_table.setA0(move(A0));
var_model_table.setConstants(move(constants));
}
map<string, map<tuple<int, int, int>, expr_t>>
DynamicModel::computeAutoregressiveMatrices() const
{
map<string, map<tuple<int, int, int>, expr_t>> ARr;
for (const auto &[model_name, eqns] : trend_component_model_table.getNonTargetEqNums())
{
map<tuple<int, int, int>, expr_t> AR;
const vector<int> &lhs = trend_component_model_table.getNonTargetLhs(model_name);
for (int i{0};
auto eqn : eqns)
{
auto bopn = dynamic_cast<BinaryOpNode *>(equations[eqn]->arg2);
bopn->fillAutoregressiveRow(i++, lhs, AR);
}
ARr[model_name] = AR;
}
return ARr;
}
void
DynamicModel::fillTrendComponentModelTable() const
{
map<string, vector<int>> eqnums, trend_eqnums, lhsr;
map<string, vector<expr_t>> lhs_expr_tr;
map<string, vector<set<pair<int, int>>>> rhsr;
for (const auto &[model_name, eqtags] : trend_component_model_table.getTargetEqTags())
{
vector<int> trend_eqnumber;
for (const auto &eqtag : eqtags)
{
optional<int> eqn { equation_tags.getEqnByTag("name", eqtag) };
if (!eqn)
{
cerr << "ERROR: no equation is named '" << eqtag << "'" << endl;
exit(EXIT_FAILURE);
}
trend_eqnumber.push_back(*eqn);
}
trend_eqnums[model_name] = trend_eqnumber;
}
for (const auto &[model_name, eqtags] : trend_component_model_table.getEqTags())
{
vector<int> eqnumber, lhs;
vector<expr_t> lhs_expr_t;
vector<set<pair<int, int>>> rhs;
for (const auto &eqtag : eqtags)
{
set<pair<int, int>> lhs_set, lhs_tmp_set, rhs_set;
optional<int> eqn { equation_tags.getEqnByTag("name", eqtag) };
if (!eqn)
{
cerr << "ERROR: no equation is named '" << eqtag << "'" << endl;
exit(EXIT_FAILURE);
}
equations[*eqn]->arg1->collectDynamicVariables(SymbolType::endogenous, lhs_set);
equations[*eqn]->arg1->collectDynamicVariables(SymbolType::exogenous, lhs_tmp_set);
equations[*eqn]->arg1->collectDynamicVariables(SymbolType::parameter, lhs_tmp_set);
if (lhs_set.size() != 1 || !lhs_tmp_set.empty())
{
cerr << "ERROR: in Equation " << eqtag
<< ". A trend component model may only have one endogenous variable on the LHS. " << endl;
exit(EXIT_FAILURE);
}
auto itlhs = lhs_set.begin();
if (itlhs->second != 0)
{
cerr << "ERROR: in Equation " << eqtag
<< ". The variable on the LHS of a trend component model may not appear with a lead or a lag. "
<< endl;
exit(EXIT_FAILURE);
}
eqnumber.push_back(*eqn);
lhs.push_back(itlhs->first);
lhs_set.clear();
set<expr_t> lhs_expr_t_set;
equations[*eqn]->arg1->collectVARLHSVariable(lhs_expr_t_set);
lhs_expr_t.push_back(*(lhs_expr_t_set.begin()));
equations[*eqn]->arg2->collectDynamicVariables(SymbolType::endogenous, rhs_set);
rhs.push_back(rhs_set);
}
eqnums[model_name] = eqnumber;
lhsr[model_name] = lhs;
lhs_expr_tr[model_name] = lhs_expr_t;
rhsr[model_name] = rhs;
}
trend_component_model_table.setRhs(move(rhsr));
trend_component_model_table.setVals(move(eqnums), move(trend_eqnums), move(lhsr), move(lhs_expr_tr));
}
pair<map<string, map<tuple<int, int>, expr_t>>, map<string, map<tuple<int, int>, expr_t>>>
DynamicModel::computeErrorComponentMatrices(const ExprNode::subst_table_t &diff_subst_table) const
{
map<string, map<tuple<int, int>, expr_t>> A0r, A0starr;
for (const auto &[model_name, eqns] : trend_component_model_table.getEqNums())
{
map<tuple<int, int>, expr_t> A0, A0star;
vector<int> target_lhs = trend_component_model_table.getTargetLhs(model_name);
vector<int> nontarget_eqnums = trend_component_model_table.getNonTargetEqNums(model_name);
vector<int> undiff_nontarget_lhs = getUndiffLHSForPac(model_name, diff_subst_table);
vector<int> parsed_undiff_nontarget_lhs;
for (int i{0};
auto eqn : eqns)
{
if (find(nontarget_eqnums.begin(), nontarget_eqnums.end(), eqn) != nontarget_eqnums.end())
parsed_undiff_nontarget_lhs.push_back(undiff_nontarget_lhs.at(i));
i++;
}
for (int i{0};
auto eqn : eqns)
if (find(nontarget_eqnums.begin(), nontarget_eqnums.end(), eqn) != nontarget_eqnums.end())
equations[eqn]->arg2->fillErrorCorrectionRow(i++, parsed_undiff_nontarget_lhs, target_lhs, A0, A0star);
A0r[model_name] = A0;
A0starr[model_name] = A0star;
}
return { A0r, A0starr };
}
void
DynamicModel::fillTrendComponentModelTableFromOrigModel() const
{
map<string, vector<int>> lags;
map<string, vector<optional<int>>> orig_diff_var;
map<string, vector<bool>> diff;
for (const auto &[model_name, eqns] : trend_component_model_table.getEqNums())
{
set<expr_t> lhs;
vector<optional<int>> orig_diff_var_vec;
vector<bool> diff_vec;
for (auto eqn : eqns)
{
// Perform some sanity checks on the RHS
optional<string> eqtag { equation_tags.getTagValueByEqnAndKey(eqn, "name") };
set<pair<int, int>> rhs_endo_set, rhs_exo_set;
equations[eqn]->arg2->collectDynamicVariables(SymbolType::endogenous, rhs_endo_set);
for (const auto &[symb_id, lag] : rhs_endo_set)
if (lag >= 0)
{
cerr << "ERROR: in Equation " << eqtag.value_or(to_string(eqn+1))
<< ". A trend component model may not have leaded or contemporaneous endogenous variables on the RHS. " << endl;
exit(EXIT_FAILURE);
}
equations[eqn]->arg2->collectDynamicVariables(SymbolType::exogenous, rhs_exo_set);
for (const auto &[symb_id, lag] : rhs_exo_set)
if (lag != 0)
{
cerr << "ERROR: in Equation " << eqtag.value_or(to_string(eqn+1))
<< ". A trend component model may not have lagged or leaded exogenous variables on the RHS. " << endl;
exit(EXIT_FAILURE);
}
// save lhs variables
equations[eqn]->arg1->collectVARLHSVariable(lhs);
if (equations[eqn]->arg1->countDiffs() > 0)
diff_vec.push_back(true);
else
diff_vec.push_back(false);
if (diff_vec.back())
{
set<pair<int, int>> diff_set;
equations[eqn]->arg1->collectDynamicVariables(SymbolType::endogenous, diff_set);
if (diff_set.size() != 1)
{
cerr << "ERROR: problem getting variable for LHS diff operator in equation "
<< eqn << endl;
exit(EXIT_FAILURE);
}
orig_diff_var_vec.push_back(diff_set.begin()->first);
}
else
orig_diff_var_vec.push_back(nullopt);
}
if (eqns.size() != lhs.size())
{
cerr << "ERROR: The LHS variables of the trend component model are not unique" << endl;
exit(EXIT_FAILURE);
}
set<expr_t> lhs_lag_equiv;
for (const auto &lh : lhs)
{
auto [lag_equiv_repr, index] = lh->getLagEquivalenceClass();
lhs_lag_equiv.insert(lag_equiv_repr);
}
vector<int> max_lag;
for (auto eqn : eqns)
max_lag.push_back(equations[eqn]->arg2->VarMaxLag(lhs_lag_equiv));
lags[model_name] = max_lag;
diff[model_name] = diff_vec;
orig_diff_var[model_name] = orig_diff_var_vec;
}
trend_component_model_table.setDiff(move(diff));
trend_component_model_table.setMaxLags(move(lags));
trend_component_model_table.setOrigDiffVar(move(orig_diff_var));
}
void
DynamicModel::fillTrendComponentModelTableAREC(const ExprNode::subst_table_t &diff_subst_table) const
{
auto ARr = computeAutoregressiveMatrices();
trend_component_model_table.setAR(move(ARr));
auto [A0r, A0starr] = computeErrorComponentMatrices(diff_subst_table);
trend_component_model_table.setA0(move(A0r), move(A0starr));
}
vector<int>
DynamicModel::getUndiffLHSForPac(const string &aux_model_name,
const ExprNode::subst_table_t &diff_subst_table) const
{
vector<expr_t> lhs_expr_t = trend_component_model_table.getLhsExprT(aux_model_name);
vector<int> lhs = trend_component_model_table.getLhs(aux_model_name);
vector<bool> diff = trend_component_model_table.getDiff(aux_model_name);
vector<int> eqnumber = trend_component_model_table.getEqNums(aux_model_name);
vector<int> nontrend_eqnums = trend_component_model_table.getNonTargetEqNums(aux_model_name);
for (auto eqn : nontrend_eqnums)
{
auto i = distance(eqnumber.begin(), find(eqnumber.begin(), eqnumber.end(), eqn));
if (eqnumber[i] != eqn)
{
cerr << "ERROR: equation " << eqn << " not found in VAR" << endl;
exit(EXIT_FAILURE);
}
if (diff.at(i) != true)
{
cerr << "ERROR: the variable on the LHS of equation #" << eqn
<< " does not have the diff operator applied to it yet you are trying to undiff it."
<< endl;
exit(EXIT_FAILURE);
}
bool printerr = false;
expr_t node = nullptr;
expr_t aux_var = lhs_expr_t.at(i);
for (const auto &it : diff_subst_table)
if (it.second == aux_var)
{
node = const_cast<expr_t>(it.first);
break;
}
if (!node)
{
cerr << "Unexpected error encountered." << endl;
exit(EXIT_FAILURE);
}
node = node->undiff();
auto it1 = diff_subst_table.find(node);
if (it1 == diff_subst_table.end())
printerr = true;
if (printerr)
{ // we have undiffed something like diff(x), hence x is not in diff_subst_table
lhs_expr_t.at(i) = node;
lhs.at(i) = dynamic_cast<VariableNode *>(node)->symb_id;
}
else
{
lhs_expr_t.at(i) = const_cast<expr_t>(it1->first);
lhs.at(i) = const_cast<VariableNode *>(it1->second)->symb_id;
}
}
return lhs;
}
void
DynamicModel::analyzePacEquationStructure(const string &name, map<string, string> &pac_eq_name, PacModelTable::equation_info_t &pac_equation_info)
{
for (auto &equation : equations)
if (equation->containsPacExpectation(name))
{
if (!pac_eq_name[name].empty())
{
cerr << "It is not possible to use 'pac_expectation(" << name << ")' in several equations." << endl;
exit(EXIT_FAILURE);
}
optional<string> eqn { equation_tags.getTagValueByEqnAndKey(&equation - &equations[0], "name") };
if (!eqn)
{
cerr << "Every equation with a 'pac_expectation' operator must have been assigned an equation tag name" << endl;
exit(EXIT_FAILURE);
}
pac_eq_name[name] = *eqn;
set<pair<int, int>> lhss;
equation->arg1->collectDynamicVariables(SymbolType::endogenous, lhss);
auto lhs = *lhss.begin();
int lhs_symb_id = lhs.first;
int lhs_orig_symb_id = lhs_symb_id;
if (symbol_table.isDiffAuxiliaryVariable(lhs_orig_symb_id))
try
{
lhs_orig_symb_id = symbol_table.getOrigSymbIdForAuxVar(lhs_orig_symb_id);
}
catch (...)
{
}
auto arg2 = dynamic_cast<BinaryOpNode *>(equation->arg2);
if (!arg2)
{
cerr << "Pac equation in incorrect format" << endl;
exit(EXIT_FAILURE);
}
auto [optim_share_index, optim_part, non_optim_part, additive_part]
= arg2->getPacOptimizingShareAndExprNodes(lhs_orig_symb_id);
pair<int, vector<tuple<int, bool, int>>> ec_params_and_vars;
vector<tuple<optional<int>, optional<int>, int>> ar_params_and_vars;
vector<tuple<int, int, optional<int>, double>> non_optim_vars_params_and_constants, optim_additive_vars_params_and_constants, additive_vars_params_and_constants;
if (!optim_part)
{
auto bopn = dynamic_cast<BinaryOpNode *>(equation->arg2);
if (!bopn)
{
cerr << "Error in PAC equation" << endl;
exit(EXIT_FAILURE);
}
bopn->getPacAREC(lhs_symb_id, lhs_orig_symb_id, ec_params_and_vars, ar_params_and_vars, additive_vars_params_and_constants);
}
else
{
auto bopn = dynamic_cast<BinaryOpNode *>(optim_part);
if (!bopn)
{
cerr << "Error in PAC equation" << endl;
exit(EXIT_FAILURE);
}
bopn->getPacAREC(lhs_symb_id, lhs_orig_symb_id, ec_params_and_vars, ar_params_and_vars, optim_additive_vars_params_and_constants);
try
{
non_optim_vars_params_and_constants = non_optim_part->matchLinearCombinationOfVariables();
if (additive_part)
additive_vars_params_and_constants = additive_part->matchLinearCombinationOfVariables();
}
catch (ExprNode::MatchFailureException &e)
{
cerr << "Error in parsing non-optimizing agents or additive part of PAC equation: "
<< e.message << endl;
exit(EXIT_FAILURE);
}
}
if (lhs.first == -1)
{
cerr << "analyzePacEquationStructure: error obtaining LHS variable." << endl;
exit(EXIT_FAILURE);
}
if (ec_params_and_vars.second.empty())
{
cerr << "analyzePacEquationStructure: error obtaining RHS parameters." << endl;
exit(EXIT_FAILURE);
}
pac_equation_info[name] = { lhs, move(optim_share_index),
move(ar_params_and_vars), move(ec_params_and_vars),
move(non_optim_vars_params_and_constants),
move(additive_vars_params_and_constants),
move(optim_additive_vars_params_and_constants) };
}
}
int
DynamicModel::getPacTargetSymbId(const string &pac_model_name) const
{
for (auto equation : equations)
if (equation->containsPacExpectation(pac_model_name))
{
set<pair<int, int>> lhss;
equation->arg1->collectDynamicVariables(SymbolType::endogenous, lhss);
if (lhss.size() != 1)
throw PacTargetNotIdentifiedException{pac_model_name, "LHS must contain a single endogenous"};
int lhs_symb_id = lhss.begin()->first;
if (!symbol_table.isDiffAuxiliaryVariable(lhs_symb_id))
throw PacTargetNotIdentifiedException{pac_model_name, "LHS must be a diff operator"};
int undiff_lhs_symb_id = symbol_table.getOrigSymbIdForAuxVar(lhs_symb_id);
auto barg2 = dynamic_cast<BinaryOpNode *>(equation->arg2);
if (!barg2)
throw PacTargetNotIdentifiedException{pac_model_name, "RHS must be a binary operator"};
auto [optim_share_index, optim_part, non_optim_part, additive_part]
= barg2->getPacOptimizingShareAndExprNodes(undiff_lhs_symb_id);
/* If there is an optimization part, restrict the search to that part,
since it contains the MCE . */
expr_t mce = optim_part ? optim_part : equation->arg2;
vector<pair<expr_t, int>> terms;
mce->decomposeAdditiveTerms(terms);
for (auto [term, sign] : terms)
try
{
auto [param_id, target_id] = term->matchParamTimesTargetMinusVariable(undiff_lhs_symb_id);
return target_id;
}
catch (ExprNode::MatchFailureException &)
{
}
throw PacTargetNotIdentifiedException{pac_model_name, "No term of the form parameter*(target-LHS_level)"};
}
throw PacTargetNotIdentifiedException{pac_model_name, "No equation with the corresponding pac_expectation operator"};
}
void
DynamicModel::computePacModelConsistentExpectationSubstitution(const string &name,
int discount_symb_id,
int pac_eq_max_lag,
expr_t growth_correction_term,
string auxname,
ExprNode::subst_table_t &diff_subst_table,
map<string, int> &pac_aux_var_symb_ids,
map<string, vector<int>> &pac_aux_param_symb_ids,
map<string, expr_t> &pac_expectation_substitution)
{
int pac_target_symb_id;
try
{
pac_target_symb_id = getPacTargetSymbId(name);
}
catch (PacTargetNotIdentifiedException &e)
{
cerr << "Can't identify target for PAC model " << name << ": " << e.message;
exit(EXIT_FAILURE);
}
int neqs = 0;
// Create the endogenous representing Z₁ (no orig_expr is given since its definition is recursive)
if (auxname.empty())
auxname = "mce_Z1_" + name;
int mce_z1_symb_id = symbol_table.addPacExpectationAuxiliaryVar(auxname, nullptr);
pac_aux_var_symb_ids[name] = mce_z1_symb_id;
expr_t A = One;
expr_t fp = Zero;
expr_t beta = AddVariable(discount_symb_id);
for (int i = 1; i <= pac_eq_max_lag+1; i++)
{
string param_name = "mce_alpha_" + name + "_" + to_string(i);
try
{
int alpha_i_symb_id = symbol_table.addSymbol(param_name, SymbolType::parameter);
pac_aux_param_symb_ids[name].push_back(alpha_i_symb_id);
A = AddPlus(A, AddVariable(alpha_i_symb_id));
fp = AddPlus(fp,
AddTimes(AddTimes(AddVariable(alpha_i_symb_id),
AddPower(beta, AddPossiblyNegativeConstant(i))),
AddVariable(mce_z1_symb_id, i)));
}
catch (SymbolTable::AlreadyDeclaredException &e)
{
cerr << "The variable/parameter '" << param_name << "' conflicts with a parameter that will be generated for the '" << name << "' PAC model. Please rename it." << endl;
exit(EXIT_FAILURE);
}
}
// Add diff nodes and eqs for pac_target_symb_id
const VariableNode *target_base_diff_node;
auto create_target_lag = [&](int lag)
{
if (symbol_table.isAuxiliaryVariable(pac_target_symb_id))
// We know it is a log, see ExprNode::matchParamTimesTargetMinusVariable()
return AddLog(AddVariable(symbol_table.getOrigSymbIdForAuxVar(pac_target_symb_id), lag));
else
return dynamic_cast<ExprNode *>(AddVariable(pac_target_symb_id, lag));
};
expr_t diff_node_to_search = AddDiff(create_target_lag(0));
if (auto sit = diff_subst_table.find(diff_node_to_search);
sit != diff_subst_table.end())
target_base_diff_node = sit->second;
else
{
int symb_id = symbol_table.addDiffAuxiliaryVar(diff_node_to_search->idx, diff_node_to_search);
target_base_diff_node = AddVariable(symb_id);
auto neweq = AddEqual(const_cast<VariableNode *>(target_base_diff_node),
AddMinus(create_target_lag(0),
create_target_lag(-1)));
addEquation(neweq, nullopt);
addAuxEquation(neweq);
neqs++;
}
map<int, VariableNode *> target_aux_var_to_add;
const VariableNode *last_aux_var = target_base_diff_node;
for (int i = 1; i <= pac_eq_max_lag; i++, neqs++)
{
expr_t this_diff_node = AddDiff(create_target_lag(i));
int symb_id = symbol_table.addDiffLeadAuxiliaryVar(this_diff_node->idx, this_diff_node,
last_aux_var->symb_id, 1);
VariableNode *current_aux_var = AddVariable(symb_id);
auto neweq = AddEqual(current_aux_var, AddVariable(last_aux_var->symb_id, 1));
addEquation(neweq, nullopt);
addAuxEquation(neweq);
last_aux_var = current_aux_var;
target_aux_var_to_add[i] = current_aux_var;
}
expr_t fs = Zero;
for (int k = 1; k <= pac_eq_max_lag; k++)
{
expr_t ssum = Zero;
for (int j = k+1; j <= pac_eq_max_lag+1; j++)
{
int alpha_j_symb_id = -1;
string param_name = "mce_alpha_" + name + "_" + to_string(j);
try
{
alpha_j_symb_id = symbol_table.getID(param_name);
}
catch (SymbolTable::UnknownSymbolNameException &e)
{
alpha_j_symb_id = symbol_table.addSymbol(param_name, SymbolType::parameter);
}
ssum = AddPlus(ssum,
AddTimes(AddVariable(alpha_j_symb_id), AddPower(beta, AddPossiblyNegativeConstant(j))));
}
fs = AddPlus(fs, AddTimes(ssum, target_aux_var_to_add[k]));
}
auto neweq = AddEqual(AddVariable(mce_z1_symb_id),
AddMinus(AddTimes(A, AddMinus(const_cast<VariableNode *>(target_base_diff_node), fs)), fp));
addEquation(neweq, nullopt);
/* This equation is not added to the list of auxiliary equations, because it
is recursive, and this would in particular break dynamic_set_auxiliary_series.m */
neqs++;
cout << "PAC Model Consistent Expectation: added " << neqs << " auxiliary variables and equations for model " << name << "." << endl;
/* The growth correction term is not added to the definition of Z₁
because the latter is recursive. Rather put it at the level of the
substition of pac_expectation operator. */
pac_expectation_substitution[name] = AddPlus(AddVariable(mce_z1_symb_id), growth_correction_term);
}
void
DynamicModel::computePacBackwardExpectationSubstitution(const string &name,
const vector<int> &lhs,
int max_lag,
const string &aux_model_type,
expr_t growth_correction_term,
string auxname,
map<string, int> &pac_aux_var_symb_ids,
map<string, vector<int>> &pac_aux_param_symb_ids,
map<string, expr_t> &pac_expectation_substitution)
{
auto create_aux_param = [&](const string &param_name)
{
try
{
return symbol_table.addSymbol(param_name, SymbolType::parameter);
}
catch (SymbolTable::AlreadyDeclaredException)
{
cerr << "ERROR: the variable/parameter '" << param_name << "' conflicts with some auxiliary parameter that will be generated for the '" << name << "' PAC model. Please rename that parameter." << endl;
exit(EXIT_FAILURE);
}
};
expr_t subExpr = Zero;
if (aux_model_type == "var")
{
/* If the auxiliary model is a VAR, add a parameter corresponding
to the constant. */
int new_param_symb_id = create_aux_param("h_" + name + "_constant");
pac_aux_param_symb_ids[name].push_back(new_param_symb_id);
subExpr = AddPlus(subExpr, AddVariable(new_param_symb_id));
}
for (int i = 1; i < max_lag + 1; i++)
for (auto lhsit : lhs)
{
int new_param_symb_id = create_aux_param("h_" + name + "_var_"
+ symbol_table.getName(lhsit)
+ "_lag_" + to_string(i));
pac_aux_param_symb_ids[name].push_back(new_param_symb_id);
subExpr = AddPlus(subExpr,
AddTimes(AddVariable(new_param_symb_id),
AddVariable(lhsit, -i)));
}
subExpr = AddPlus(subExpr, growth_correction_term);
if (auxname.empty())
auxname = "pac_expectation_" + name;
int expect_var_id = symbol_table.addPacExpectationAuxiliaryVar(auxname, subExpr);
expr_t neweq = AddEqual(AddVariable(expect_var_id), subExpr);
addEquation(neweq, nullopt);
addAuxEquation(neweq);
pac_aux_var_symb_ids[name] = expect_var_id;
pac_expectation_substitution[name] = AddVariable(expect_var_id);
}
void
DynamicModel::computePacBackwardExpectationSubstitutionWithComponents(const string &name,
const vector<int> &lhs,
int max_lag,
const string &aux_model_type,
vector<PacModelTable::target_component_t> &pac_target_components,
map<string, expr_t> &pac_expectation_substitution)
{
auto create_aux_param = [&](const string &param_name)
{
try
{
return symbol_table.addSymbol(param_name, SymbolType::parameter);
}
catch (SymbolTable::AlreadyDeclaredException)
{
cerr << "ERROR: the variable/parameter '" << param_name << "' conflicts with some auxiliary parameter that will be generated for the '" << name << "' PAC model. Please rename that parameter." << endl;
exit(EXIT_FAILURE);
}
};
expr_t substexpr = Zero;
for (int component_idx{1};
auto &[component, growth, auxname, kind, coeff, growth_neutrality_param, h_indices, original_growth, growth_info] : pac_target_components)
{
string name_component = name + "_component" + to_string(component_idx);
// Create the linear combination of the variables from the auxiliary model
expr_t auxdef = Zero;
if (aux_model_type == "var")
{
/* If the auxiliary model is a VAR, add a parameter corresponding
to the constant. */
int new_param_symb_id = create_aux_param("h_" + name_component + "_constant");
h_indices.push_back(new_param_symb_id);
auxdef = AddPlus(auxdef, AddVariable(new_param_symb_id));
}
for (int i = 1; i < max_lag + 1; i++)
for (auto lhsit : lhs)
{
int new_param_symb_id = create_aux_param("h_" + name_component + "_var_" + symbol_table.getName(lhsit) + "_lag_" + to_string(i));
h_indices.push_back(new_param_symb_id);
auxdef = AddPlus(auxdef, AddTimes(AddVariable(new_param_symb_id),
AddVariable(lhsit, -i)));
}
// If needed, add the growth neutrality correction for this component
if (growth)
{
growth_neutrality_param = create_aux_param(name_component + "_pac_growth_neutrality_correction");
auxdef = AddPlus(auxdef, AddTimes(growth, AddVariable(growth_neutrality_param)));
}
else
growth_neutrality_param = -1;
// Create the auxiliary variable for this component
int aux_id = symbol_table.addPacExpectationAuxiliaryVar(auxname, auxdef);
expr_t auxvar = AddVariable(aux_id);
// Add the equation defining the auxiliary variable for this component
expr_t neweq = AddEqual(auxvar, auxdef);
addEquation(neweq, nullopt);
addAuxEquation(neweq);
// Update the expression to be substituted for the pac_expectation operator
substexpr = AddPlus(substexpr, AddTimes(coeff, auxvar));
component_idx++;
}
pac_expectation_substitution[name] = substexpr;
}
void
DynamicModel::substitutePacExpectation(const map<string, expr_t> &pac_expectation_substitution,
const map<string, string> &pac_eq_name)
{
for (auto &[model_name, substexpr] : pac_expectation_substitution)
{
optional<int> eq { equation_tags.getEqnByTag("name", pac_eq_name.at(model_name)) };
auto substeq = dynamic_cast<BinaryOpNode *>(equations[eq.value()]->substitutePacExpectation(model_name, substexpr));
assert(substeq);
equations[eq.value()] = substeq;
}
}
void
DynamicModel::substitutePacTargetNonstationary(const string &pac_model_name, expr_t substexpr)
{
for (auto &eq : equations)
eq = dynamic_cast<BinaryOpNode *>(eq->substitutePacTargetNonstationary(pac_model_name, substexpr));
}
void
DynamicModel::computingPass(int derivsOrder, int paramsDerivsOrder, const eval_context_t &eval_context,
bool no_tmp_terms, bool block, bool use_dll)
{
initializeVariablesAndEquations();
// Prepare for derivation
computeDerivIDs();
// Computes dynamic jacobian columns, must be done after computeDerivIDs()
computeDynJacobianCols();
/* In both MATLAB and Julia, tensors for higher-order derivatives are stored
in matrices whose columns correspond to variable multi-indices. Since we
currently are limited to 32-bit signed integers (hence 31 bits) for matrix
indices, check that we will not overflow (see #89). Note that such a check
is not needed for parameter derivatives, since tensors for those are not
stored as matrices. This check cannot be done before since
getJacobianColsNbr() is not yet set.
We only do the check for the legacy representation, since the sparse
representation is not affected by this problem (TODO: thus the check can be
removed once the legacy representation is dropped). */
if (log2(getJacobianColsNbr(false))*derivsOrder >= numeric_limits<int>::digits)
{
cerr << "ERROR: The derivatives matrix of the " << modelClassName() << " is too large. Please decrease the approximation order." << endl;
exit(EXIT_FAILURE);
}
// Compute derivatives w.r. to all endogenous, exogenous and exogenous deterministic
set<int> vars;
for (auto &it : deriv_id_table)
{
SymbolType type = symbol_table.getType(it.first.first);
if (type == SymbolType::endogenous || type == SymbolType::exogenous
|| type == SymbolType::exogenousDet)
vars.insert(it.second);
}
// Launch computations
cout << "Computing " << modelClassName() << " derivatives (order " << derivsOrder << ")." << endl;
computeDerivatives(derivsOrder, vars);
if (derivsOrder > 1)
for (const auto &[indices, d2] : derivatives[2])
nonzero_hessian_eqs.insert(indices[0]);
if (paramsDerivsOrder > 0)
{
cout << "Computing " << modelClassName() << " derivatives w.r.t. parameters (order " << paramsDerivsOrder << ")." << endl;
computeParamsDerivatives(paramsDerivsOrder);
}
computeTemporaryTerms(!use_dll, no_tmp_terms);
if (paramsDerivsOrder > 0 && !no_tmp_terms)
computeParamsDerivativesTemporaryTerms();
if (!block && (max_endo_lag == 0 || max_endo_lead == 0))
{
time_recursive_block_decomposition = true;
mfs = 3; // FIXME: remove this line when mfs=3 becomes the global default
}
computingPassBlock(eval_context, no_tmp_terms);
if (block_decomposed)
computeBlockDynJacobianCols();
if (!block_decomposed && block)
{
cerr << "ERROR: Block decomposition requested but failed." << endl;
exit(EXIT_FAILURE);
}
}
void
DynamicModel::computeXrefs()
{
for (int i{0};
auto &equation : equations)
{
ExprNode::EquationInfo ei;
equation->computeXrefs(ei);
xrefs[i++] = ei;
}
for (int i{0};
const auto &[eq, eqinfo] : xrefs)
{
computeRevXref(xref_param, eqinfo.param, i);
computeRevXref(xref_endo, eqinfo.endo, i);
computeRevXref(xref_exo, eqinfo.exo, i);
computeRevXref(xref_exo_det, eqinfo.exo_det, i);
i++;
}
}
void
DynamicModel::computeRevXref(map<pair<int, int>, set<int>> &xrefset, const set<pair<int, int>> &eiref, int eqn)
{
for (const auto &it : eiref)
{
set<int> eq;
if (xrefset.contains(it))
eq = xrefset[it];
eq.insert(eqn);
xrefset[it] = eq;
}
}
void
DynamicModel::writeXrefs(ostream &output) const
{
output << "M_.xref1.param = cell(1, M_.eq_nbr);" << endl
<< "M_.xref1.endo = cell(1, M_.eq_nbr);" << endl
<< "M_.xref1.exo = cell(1, M_.eq_nbr);" << endl
<< "M_.xref1.exo_det = cell(1, M_.eq_nbr);" << endl;
for (int i{1};
const auto &[eq, eqinfo] : xrefs)
{
output << "M_.xref1.param{" << i << "} = [ ";
for (const auto &[id, lag] : eqinfo.param)
output << symbol_table.getTypeSpecificID(id) + 1 << " ";
output << "];" << endl;
output << "M_.xref1.endo{" << i << "} = [ ";
for (const auto &[id, lag] : eqinfo.endo)
output << "struct('id', " << symbol_table.getTypeSpecificID(id) + 1 << ", 'shift', " << lag << ");";
output << "];" << endl;
output << "M_.xref1.exo{" << i << "} = [ ";
for (const auto &[id, lag] : eqinfo.exo)
output << "struct('id', " << symbol_table.getTypeSpecificID(id) + 1 << ", 'shift', " << lag << ");";
output << "];" << endl;
output << "M_.xref1.exo_det{" << i << "} = [ ";
for (const auto &[id, lag] : eqinfo.exo_det)
output << "struct('id', " << symbol_table.getTypeSpecificID(id) + 1 << ", 'shift', " << lag << ");";
output << "];" << endl;
i++;
}
output << "M_.xref2.param = cell(1, M_.param_nbr);" << endl
<< "M_.xref2.endo = cell(1, M_.endo_nbr);" << endl
<< "M_.xref2.exo = cell(1, M_.exo_nbr);" << endl
<< "M_.xref2.exo_det = cell(1, M_.exo_det_nbr);" << endl;
writeRevXrefs(output, xref_param, "param");
writeRevXrefs(output, xref_endo, "endo");
writeRevXrefs(output, xref_exo, "exo");
writeRevXrefs(output, xref_exo_det, "exo_det");
}
void
DynamicModel::writeRevXrefs(ostream &output, const map<pair<int, int>, set<int>> &xrefmap, const string &type) const
{
for (int last_tsid{-1};
const auto &[key, eqs] : xrefmap)
{
auto &[id, lag] = key;
int tsid = symbol_table.getTypeSpecificID(id) + 1;
output << "M_.xref2." << type << "{" << tsid << "} = [ ";
if (last_tsid == tsid)
output << "M_.xref2." << type << "{" << tsid << "}; ";
else
last_tsid = tsid;
for (int eq : eqs)
if (type == "param")
output << eq + 1 << " ";
else
output << "struct('shift', " << lag << ", 'eq', " << eq+1 << ");";
output << "];" << endl;
}
}
map<tuple<int, int, int>, DynamicModel::BlockDerivativeType>
DynamicModel::determineBlockDerivativesType(int blk)
{
map<tuple<int, int, int>, BlockDerivativeType> derivType;
int size = blocks[blk].size;
int nb_recursive = blocks[blk].getRecursiveSize();
for (int lag {time_recursive_block_decomposition ? 0 : -blocks[blk].max_lag};
lag <= (time_recursive_block_decomposition ? 0 : blocks[blk].max_lead);
lag++)
for (int eq = 0; eq < size; eq++)
{
set<pair<int, int>> endos_and_lags;
int eq_orig = getBlockEquationID(blk, eq);
equations[eq_orig]->collectEndogenous(endos_and_lags);
for (int var = 0; var < size; var++)
if (int var_orig = getBlockVariableID(blk, var);
endos_and_lags.contains({ var_orig, lag }))
{
if (getBlockEquationType(blk, eq) == EquationType::evaluateRenormalized
&& eq < nb_recursive)
/* Its a normalized recursive equation, we have to recompute
the derivative using the chain rule */
derivType[{ lag, eq, var }] = BlockDerivativeType::normalizedChainRule;
else if (!derivType.contains({ lag, eq, var }))
derivType[{ lag, eq, var }] = BlockDerivativeType::standard;
if (var < nb_recursive)
for (int feedback_var = nb_recursive; feedback_var < size; feedback_var++)
if (derivType.contains({ lag, var, feedback_var }))
/* A new derivative needs to be computed using the chain rule
(a feedback variable appears in the recursive equation
defining the current variable) */
derivType[{ lag, eq, feedback_var }] = BlockDerivativeType::chainRule;
}
}
return derivType;
}
void
DynamicModel::computeChainRuleJacobian()
{
size_t nb_blocks { blocks.size() };
blocks_derivatives.resize(nb_blocks);
blocks_jacobian_sparse_column_major_order.resize(nb_blocks);
blocks_jacobian_sparse_colptr.resize(nb_blocks);
for (int blk {0}; blk < static_cast<int>(nb_blocks); blk++)
{
int nb_recursives = blocks[blk].getRecursiveSize();
int mfs_size { blocks[blk].mfs_size };
BlockSimulationType simulation_type { blocks[blk].simulation_type };
// Create a map from recursive vars to their defining (normalized) equation
map<int, BinaryOpNode *> recursive_vars;
for (int i = 0; i < nb_recursives; i++)
{
int deriv_id = getDerivID(symbol_table.getID(SymbolType::endogenous, getBlockVariableID(blk, i)), 0);
if (getBlockEquationType(blk, i) == EquationType::evaluateRenormalized)
recursive_vars[deriv_id] = getBlockEquationRenormalizedExpr(blk, i);
else
recursive_vars[deriv_id] = getBlockEquationExpr(blk, i);
}
// Compute the block derivatives
map<pair<expr_t, int>, expr_t> chain_rule_deriv_cache;
for (const auto &[indices, derivType] : determineBlockDerivativesType(blk))
{
auto [lag, eq, var] = indices;
int eq_orig = getBlockEquationID(blk, eq), var_orig = getBlockVariableID(blk, var);
int deriv_id = getDerivID(symbol_table.getID(SymbolType::endogenous, var_orig), lag);
expr_t d{nullptr};
switch (derivType)
{
case BlockDerivativeType::standard:
if (auto it = derivatives[1].find({ eq_orig, deriv_id });
it != derivatives[1].end())
d = it->second;
else
d = Zero;
break;
case BlockDerivativeType::chainRule:
d = equations[eq_orig]->getChainRuleDerivative(deriv_id, recursive_vars, chain_rule_deriv_cache);
break;
case BlockDerivativeType::normalizedChainRule:
d = equation_type_and_normalized_equation[eq_orig].second->getChainRuleDerivative(deriv_id, recursive_vars, chain_rule_deriv_cache);
break;
}
if (d != Zero)
blocks_derivatives[blk][{ eq, var, lag }] = d;
}
// Compute the sparse representation of the Jacobian
if (simulation_type != BlockSimulationType::evaluateForward
&& simulation_type != BlockSimulationType::evaluateBackward)
{
const bool one_boundary {simulation_type == BlockSimulationType::solveBackwardSimple
|| simulation_type == BlockSimulationType::solveForwardSimple
|| simulation_type == BlockSimulationType::solveBackwardComplete
|| simulation_type == BlockSimulationType::solveForwardComplete};
for (const auto &[indices, d1] : blocks_derivatives[blk])
{
auto &[eq, var, lag] { indices };
assert(lag >= -1 && lag <= 1);
if (eq >= nb_recursives && var >= nb_recursives
&& !(one_boundary && lag != 0))
blocks_jacobian_sparse_column_major_order[blk].emplace(pair{eq-nb_recursives, var-nb_recursives+static_cast<int>(!one_boundary)*(lag+1)*mfs_size}, d1);
}
blocks_jacobian_sparse_colptr[blk] = computeCSCColPtr(blocks_jacobian_sparse_column_major_order[blk], (one_boundary ? 1 : 3)*mfs_size);
}
}
/* Also store information and derivatives w.r.t. other types of variables
(for the stochastic mode) */
blocks_derivatives_other_endo.resize(nb_blocks);
blocks_derivatives_exo.resize(nb_blocks);
blocks_derivatives_exo_det.resize(nb_blocks);
blocks_other_endo.resize(nb_blocks);
blocks_exo.resize(nb_blocks);
blocks_exo_det.resize(nb_blocks);
for (auto &[indices, d1] : derivatives[1])
{
auto [eq_orig, deriv_id] { vectorToTuple<2>(indices) };
int block_eq { eq2block[eq_orig] };
int eq { getBlockInitialEquationID(block_eq, eq_orig) };
int var { getTypeSpecificIDByDerivID(deriv_id) };
int lag { getLagByDerivID(deriv_id) };
switch (getTypeByDerivID(indices[1]))
{
case SymbolType::endogenous:
if (block_eq != endo2block[var])
{
blocks_derivatives_other_endo[block_eq][{ eq, var, lag }] = d1;
blocks_other_endo[block_eq].insert(var);
}
break;
case SymbolType::exogenous:
blocks_derivatives_exo[block_eq][{ eq, var, lag }] = d1;
blocks_exo[block_eq].insert(var);
break;
case SymbolType::exogenousDet:
blocks_derivatives_exo_det[block_eq][{ eq, var, lag }] = d1;
blocks_exo_det[block_eq].insert(var);
break;
default:
break;
}
}
}
void
DynamicModel::computeBlockDynJacobianCols()
{
size_t nb_blocks { blocks.size() };
// Structures used for lexicographic ordering over (lag, var ID)
vector<set<pair<int, int>>> dynamic_endo(nb_blocks), dynamic_other_endo(nb_blocks),
dynamic_exo(nb_blocks), dynamic_exo_det(nb_blocks);
for (auto & [indices, d1] : derivatives[1])
{
auto [eq_orig, deriv_id] { vectorToTuple<2>(indices) };
int block_eq { eq2block[eq_orig] };
int var { getTypeSpecificIDByDerivID(deriv_id) };
int lag { getLagByDerivID(deriv_id) };
switch (getTypeByDerivID(deriv_id))
{
case SymbolType::endogenous:
if (block_eq == endo2block[var])
dynamic_endo[block_eq].emplace(lag, getBlockInitialVariableID(block_eq, var));
else
dynamic_other_endo[block_eq].emplace(lag, var);
break;
case SymbolType::exogenous:
dynamic_exo[block_eq].emplace(lag, var);
break;
case SymbolType::exogenousDet:
dynamic_exo_det[block_eq].emplace(lag, var);
break;
default:
break;
}
}
// Compute Jacobian column indices
blocks_jacob_cols_endo.resize(nb_blocks);
blocks_jacob_cols_other_endo.resize(nb_blocks);
blocks_jacob_cols_exo.resize(nb_blocks);
blocks_jacob_cols_exo_det.resize(nb_blocks);
for (size_t blk {0}; blk < nb_blocks; blk++)
{
for (int index{0};
auto [lag, var] : dynamic_endo[blk])
blocks_jacob_cols_endo[blk][{ var, lag }] = index++;
for (int index{0};
auto [lag, var] : dynamic_other_endo[blk])
blocks_jacob_cols_other_endo[blk][{ var, lag }] = index++;
for (int index{0};
auto [lag, var] : dynamic_exo[blk])
blocks_jacob_cols_exo[blk][{ var, lag }] = index++;
for (int index{0};
auto [lag, var] : dynamic_exo_det[blk])
blocks_jacob_cols_exo_det[blk][{ var, lag }] = index++;
}
}
void
DynamicModel::writeDynamicFile(const string &basename, bool block, bool use_dll, const string &mexext, const filesystem::path &matlabroot, const filesystem::path &dynareroot, bool julia) const
{
filesystem::path model_dir{basename};
model_dir /= "model";
if (use_dll)
{
create_directories(model_dir / "src" / "sparse");
if (block_decomposed)
create_directories(model_dir / "src" / "sparse" / "block");
}
if (julia)
create_directories(model_dir / "julia");
else
{
auto plusfolder {packageDir(basename)};
/* The following is not a duplicate of the same call from
ModFile::writeMOutput(), because of planner_objective which needs its
+objective subdirectory */
create_directories(plusfolder);
if (block && !use_dll)
create_directories(plusfolder / "+block");
auto sparsefolder {plusfolder / "+sparse"};
create_directories(sparsefolder);
if (!use_dll)
create_directories(sparsefolder / "private");
if (block_decomposed)
create_directories(sparsefolder / "+block");
create_directories(plusfolder / "+debug");
}
create_directories(model_dir / "bytecode");
// Legacy representation
if (block)
{
writeDynamicBlockBytecode(basename);
if (use_dll)
{
auto per_block_object_files { writeDynamicPerBlockCFiles(basename, mexext, matlabroot, dynareroot) };
writeDynamicBlockCFile(basename, move(per_block_object_files), mexext, matlabroot, dynareroot);
}
else if (julia)
{
cerr << "'block' option is not available with Julia" << endl;
exit(EXIT_FAILURE);
}
else // M-files
{
writeDynamicPerBlockMFiles(basename);
writeDynamicBlockMFile(basename);
}
}
else
{
writeDynamicBytecode(basename);
if (use_dll)
writeModelCFile<true>(basename, mexext, matlabroot, dynareroot);
else if (!julia) // M-files
writeDynamicMFile(basename);
// The legacy representation is no longer produced for Julia
}
// Sparse representation
if (use_dll)
writeSparseModelCFiles<true>(basename, mexext, matlabroot, dynareroot);
else if (julia)
writeSparseModelJuliaFiles<true>(basename);
else // MATLAB/Octave
writeSparseModelMFiles<true>(basename);
writeSetAuxiliaryVariables(basename, julia);
// Support for model debugging
if (!julia)
writeDebugModelMFiles<true>(basename);
}
void
DynamicModel::writeSetAuxiliaryVariables(const string &basename, bool julia) const
{
ostringstream output_func_body;
writeAuxVarRecursiveDefinitions(output_func_body, julia ? ExprNodeOutputType::juliaTimeDataFrame
: ExprNodeOutputType::matlabDseries);
if (output_func_body.str().empty())
return;
string func_name = julia ? "dynamic_set_auxiliary_series!" : "dynamic_set_auxiliary_series";
string comment = julia ? "#" : "%";
stringstream output;
output << "function ";
if (!julia)
output << "ds = ";
output << func_name + "(ds, params)" << endl
<< comment << endl
<< comment << " Status : Computes Auxiliary variables of the " << modelClassName() << " and returns a dseries" << endl
<< comment << endl
<< comment << " Warning : this file is generated automatically by Dynare" << endl
<< comment << " from model file (.mod)" << endl << endl;
if (julia)
output << "@inbounds begin" << endl;
output << output_func_body.str()
<< "end" << endl;
if (julia)
output << "end" << endl;
if (julia)
writeToFileIfModified(output, filesystem::path{basename} / "model" / "julia" / "DynamicSetAuxiliarySeries.jl");
else
{
/* Calling writeToFileIfModified() is useless here since we write inside
a subdirectory deleted at each preprocessor run. */
filesystem::path filename {packageDir(basename) / (func_name + ".m")};
ofstream output_file{filename, ios::out | ios::binary};
if (!output_file.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << " for writing" << endl;
exit(EXIT_FAILURE);
}
output_file << output.str();
output_file.close();
}
}
void
DynamicModel::writeAuxVarRecursiveDefinitions(ostream &output, ExprNodeOutputType output_type) const
{
deriv_node_temp_terms_t tef_terms;
for (auto aux_eq : aux_equations)
if (aux_eq->containsExternalFunction())
aux_eq->writeExternalFunctionOutput(output, output_type, {}, {}, tef_terms);
for (auto aux_eq : aux_equations)
{
aux_eq->writeOutput(output, output_type, {}, {}, tef_terms);
output << ";" << endl;
}
}
void
DynamicModel::clearEquations()
{
equations.clear();
equations_lineno.clear();
equation_tags.clear();
}
void
DynamicModel::replaceMyEquations(DynamicModel &dynamic_model) const
{
dynamic_model.clearEquations();
for (size_t i = 0; i < equations.size(); i++)
dynamic_model.addEquation(equations[i]->clone(dynamic_model), equations_lineno[i]);
dynamic_model.equation_tags = equation_tags;
}
void
DynamicModel::computeRamseyPolicyFOCs(const StaticModel &static_model)
{
// Add aux LM to constraints in equations
// equation[i]->lhs = rhs becomes equation[i]->MULT_(i+1)*(lhs-rhs) = 0
int i;
for (i = 0; i < static_cast<int>(equations.size()); i++)
{
auto substeq = dynamic_cast<BinaryOpNode *>(equations[i]->addMultipliersToConstraints(i));
assert(substeq);
equations[i] = substeq;
}
cout << "Ramsey Problem: added " << i << " Multipliers." << endl;
// Add Planner Objective to equations so that it appears in Lagrangian
assert(static_model.equations.size() == 1);
addEquation(static_model.equations[0]->clone(*this), nullopt);
// Get max endo lead and max endo lag
set<pair<int, int>> dynvars;
int max_eq_lead = 0;
int max_eq_lag = 0;
for (auto &equation : equations)
equation->collectDynamicVariables(SymbolType::endogenous, dynvars);
for (const auto &[symb_id, lag] : dynvars)
{
max_eq_lead = max(lag, max_eq_lead);
max_eq_lag = max(-lag, max_eq_lag);
}
// Get Discount Factor
assert(symbol_table.exists("optimal_policy_discount_factor"));
int symb_id = symbol_table.getID("optimal_policy_discount_factor");
assert(symbol_table.getType(symb_id) == SymbolType::parameter);
expr_t discount_factor_node = AddVariable(symb_id, 0);
// Create (modified) Lagrangian (so that we can take the derivative once at time t)
expr_t lagrangian = Zero;
for (i = 0; i < static_cast<int>(equations.size()); i++)
for (int lag = -max_eq_lag; lag <= max_eq_lead; lag++)
{
expr_t dfpower = nullptr;
stringstream lagstream;
lagstream << abs(lag);
if (lag < 0)
dfpower = AddNonNegativeConstant(lagstream.str());
else if (lag == 0)
dfpower = Zero;
else
dfpower = AddMinus(Zero, AddNonNegativeConstant(lagstream.str()));
lagrangian = AddPlus(AddTimes(AddPower(discount_factor_node, dfpower),
equations[i]->getNonZeroPartofEquation()->decreaseLeadsLags(lag)), lagrangian);
}
// Save line numbers and tags, see below
auto old_equations_lineno = equations_lineno;
auto old_equation_tags = equation_tags;
// Prepare derivation of the Lagrangian
clearEquations();
addEquation(AddEqual(lagrangian, Zero), nullopt);
computeDerivIDs();
/* Compute Lagrangian derivatives.
Also restore line numbers and tags for FOCs w.r.t. a Lagrange multiplier
(i.e. a FOC identical to an equation of the original model) */
vector<expr_t> neweqs;
vector<optional<int>> neweqs_lineno;
map<int, map<string, string>> neweqs_tags;
for (auto &[symb_id_and_lag, deriv_id] : deriv_id_table)
{
auto &[symb_id, lag] = symb_id_and_lag;
if (symbol_table.getType(symb_id) == SymbolType::endogenous && lag == 0)
{
neweqs.push_back(AddEqual(equations[0]->getNonZeroPartofEquation()->getDerivative(deriv_id), Zero));
if (optional<int> i = symbol_table.getEquationNumberForMultiplier(symb_id);
i)
{
// This is a derivative w.r.t. a Lagrange multiplier
neweqs_lineno.push_back(old_equations_lineno[*i]);
neweqs_tags[neweqs.size()-1] = old_equation_tags.getTagsByEqn(*i);
}
else
neweqs_lineno.push_back(nullopt);
}
}
// Overwrite equations with the Lagrangian derivatives
clearEquations();
for (size_t i = 0; i < neweqs.size(); i++)
addEquation(neweqs[i], neweqs_lineno[i], neweqs_tags[i]);
}
bool
DynamicModel::ParamUsedWithLeadLag() const
{
return ParamUsedWithLeadLagInternal();
}
void
DynamicModel::createVariableMapping()
{
for (size_t ii = 0; ii < equations.size(); ii++)
{
set<int> eqvars;
equations[ii]->collectVariables(SymbolType::endogenous, eqvars);
equations[ii]->collectVariables(SymbolType::exogenous, eqvars);
for (auto eqvar : eqvars)
variableMapping[symbol_table.getUltimateOrigSymbID(eqvar)].emplace(ii);
}
}
void
DynamicModel::expandEqTags()
{
set<int> existing_tags = equation_tags.getEqnsByKey("name");
for (int eq = 0; eq < static_cast<int>(equations.size()); eq++)
if (!existing_tags.contains(eq))
if (auto lhs_expr = dynamic_cast<VariableNode *>(equations[eq]->arg1);
lhs_expr
&& !equation_tags.exists("name", symbol_table.getName(lhs_expr->symb_id)))
equation_tags.add(eq, "name", symbol_table.getName(lhs_expr->symb_id));
else if (!equation_tags.exists("name", to_string(eq+1)))
equation_tags.add(eq, "name", to_string(eq+1));
else
{
cerr << "Error creating default equation tag: cannot assign default tag to equation number " << eq+1 << " because it is already in use" << endl;
exit(EXIT_FAILURE);
}
}
set<int>
DynamicModel::findUnusedEndogenous()
{
set<int> usedEndo, unusedEndo;
for (auto &equation : equations)
equation->collectVariables(SymbolType::endogenous, usedEndo);
for (auto &equation : static_only_equations)
equation->collectVariables(SymbolType::endogenous, usedEndo);
set<int> allEndo = symbol_table.getEndogenous();
set_difference(allEndo.begin(), allEndo.end(),
usedEndo.begin(), usedEndo.end(),
inserter(unusedEndo, unusedEndo.begin()));
return unusedEndo;
}
set<int>
DynamicModel::findUnusedExogenous()
{
set<int> usedExo, unusedExo, unobservedExo;
for (auto &equation : equations)
equation->collectVariables(SymbolType::exogenous, usedExo);
for (auto &equation : static_only_equations)
equation->collectVariables(SymbolType::exogenous, usedExo);
set<int> observedExo = symbol_table.getObservedExogenous();
set<int> allExo = symbol_table.getExogenous();
set_difference(allExo.begin(), allExo.end(),
observedExo.begin(), observedExo.end(),
inserter(unobservedExo, unobservedExo.begin()));
set_difference(unobservedExo.begin(), unobservedExo.end(),
usedExo.begin(), usedExo.end(),
inserter(unusedExo, unusedExo.begin()));
return unusedExo;
}
void
DynamicModel::setLeadsLagsOrig()
{
set<pair<int, int>> dynvars;
for (auto &equation : equations)
{
equation->collectDynamicVariables(SymbolType::endogenous, dynvars);
equation->collectDynamicVariables(SymbolType::exogenous, dynvars);
equation->collectDynamicVariables(SymbolType::exogenousDet, dynvars);
max_lag_with_diffs_expanded_orig = max(equation->maxLagWithDiffsExpanded(),
max_lag_with_diffs_expanded_orig);
}
for (const auto &[symb_id, lag] : dynvars)
{
SymbolType type = symbol_table.getType(symb_id);
max_lead_orig = max(lag, max_lead_orig);
max_lag_orig = max(-lag, max_lag_orig);
switch (type)
{
case SymbolType::endogenous:
max_endo_lead_orig = max(lag, max_endo_lead_orig);
max_endo_lag_orig = max(-lag, max_endo_lag_orig);
break;
case SymbolType::exogenous:
max_exo_lead_orig = max(lag, max_exo_lead_orig);
max_exo_lag_orig = max(-lag, max_exo_lag_orig);
break;
case SymbolType::exogenousDet:
max_exo_det_lead_orig = max(lag, max_exo_det_lead_orig);
max_exo_det_lag_orig = max(-lag, max_exo_det_lag_orig);
break;
default:
break;
}
}
}
void
DynamicModel::computeDerivIDs()
{
set<pair<int, int>> dynvars;
for (auto &equation : equations)
{
equation->collectDynamicVariables(SymbolType::endogenous, dynvars);
equation->collectDynamicVariables(SymbolType::exogenous, dynvars);
equation->collectDynamicVariables(SymbolType::exogenousDet, dynvars);
equation->collectDynamicVariables(SymbolType::parameter, dynvars);
equation->collectDynamicVariables(SymbolType::trend, dynvars);
equation->collectDynamicVariables(SymbolType::logTrend, dynvars);
}
for (const auto &[symb_id, lag] : dynvars)
{
SymbolType type = symbol_table.getType(symb_id);
/* Setting maximum and minimum lags.
We don't want these to be affected by lead/lags on parameters: they
are accepted for facilitating variable flipping, but are simply
ignored. */
if (type != SymbolType::parameter)
{
max_lead = max(lag, max_lead);
max_lag = max(-lag, max_lag);
}
switch (type)
{
case SymbolType::endogenous:
max_endo_lead = max(lag, max_endo_lead);
max_endo_lag = max(-lag, max_endo_lag);
break;
case SymbolType::exogenous:
max_exo_lead = max(lag, max_exo_lead);
max_exo_lag = max(-lag, max_exo_lag);
break;
case SymbolType::exogenousDet:
max_exo_det_lead = max(lag, max_exo_det_lead);
max_exo_det_lag = max(-lag, max_exo_det_lag);
break;
default:
break;
}
// Create a new deriv_id
int deriv_id = deriv_id_table.size();
deriv_id_table[{symb_id, lag}] = deriv_id;
inv_deriv_id_table.emplace_back(symb_id, lag);
}
}
SymbolType
DynamicModel::getTypeByDerivID(int deriv_id) const noexcept(false)
{
return symbol_table.getType(getSymbIDByDerivID(deriv_id));
}
int
DynamicModel::getLagByDerivID(int deriv_id) const noexcept(false)
{
if (deriv_id < 0 || deriv_id >= static_cast<int>(inv_deriv_id_table.size()))
throw UnknownDerivIDException();
return inv_deriv_id_table[deriv_id].second;
}
int
DynamicModel::getSymbIDByDerivID(int deriv_id) const noexcept(false)
{
if (deriv_id < 0 || deriv_id >= static_cast<int>(inv_deriv_id_table.size()))
throw UnknownDerivIDException();
return inv_deriv_id_table[deriv_id].first;
}
int
DynamicModel::getTypeSpecificIDByDerivID(int deriv_id) const
{
return symbol_table.getTypeSpecificID(getSymbIDByDerivID(deriv_id));
}
int
DynamicModel::getDerivID(int symb_id, int lag) const noexcept(false)
{
if (auto it = deriv_id_table.find({ symb_id, lag });
it == deriv_id_table.end())
throw UnknownDerivIDException();
else
return it->second;
}
void
DynamicModel::addAllParamDerivId(set<int> &deriv_id_set)
{
for (size_t i = 0; i < inv_deriv_id_table.size(); i++)
if (symbol_table.getType(inv_deriv_id_table[i].first) == SymbolType::parameter)
deriv_id_set.insert(i);
}
void
DynamicModel::computeDynJacobianCols()
{
// Sort the dynamic endogenous variables by lexicographic order over (lag, type_specific_symbol_id)
map<pair<int, int>, int> ordered_dyn_endo;
for (const auto &[symb_lag, deriv_id] : deriv_id_table)
if (const auto &[symb_id, lag] = symb_lag;
symbol_table.getType(symb_id) == SymbolType::endogenous)
ordered_dyn_endo[{ lag, symbol_table.getTypeSpecificID(symb_id) }] = deriv_id;
// Fill the dynamic jacobian columns for endogenous (legacy representation)
for (int sorted_id{0};
const auto &[ignore, deriv_id] : ordered_dyn_endo)
dyn_jacobian_cols_table[deriv_id] = sorted_id++;
/* Fill the dynamic columns for exogenous and exogenous deterministic (legacy
representation) */
for (const auto &[symb_lag, deriv_id] : deriv_id_table)
{
int symb_id{symb_lag.first};
int tsid{symbol_table.getTypeSpecificID(symb_id)};
if (SymbolType type{symbol_table.getType(symb_id)};
type == SymbolType::exogenous)
dyn_jacobian_cols_table[deriv_id] = ordered_dyn_endo.size() + tsid;
else if (type == SymbolType::exogenousDet)
dyn_jacobian_cols_table[deriv_id] = ordered_dyn_endo.size() + symbol_table.exo_nbr() + tsid;
}
}
void
DynamicModel::testTrendDerivativesEqualToZero(const eval_context_t &eval_context)
{
for (auto &[symb_lag1, deriv_id1] : deriv_id_table)
if (auto &[symb_id1, lag1] = symb_lag1;
symbol_table.getType(symb_id1) == SymbolType::trend
|| symbol_table.getType(symb_id1) == SymbolType::logTrend)
for (int eq = 0; eq < static_cast<int>(equations.size()); eq++)
{
expr_t homogeneq = AddMinus(equations[eq]->arg1,
equations[eq]->arg2);
// Do not run the test if the term inside the log is zero
if (fabs(homogeneq->eval(eval_context)) > zero_band)
{
expr_t testeq = AddLog(homogeneq); // F = log(lhs-rhs)
testeq = testeq->getDerivative(deriv_id1); // d F / d Trend
for (auto &[symb_lag2, deriv_id2] : deriv_id_table)
if (auto &[symb_id2, lag2] = symb_lag2;
symbol_table.getType(symb_id2) == SymbolType::endogenous)
{
double nearZero = testeq->getDerivative(deriv_id2)->eval(eval_context); // eval d F / d Trend d Endog
if (fabs(nearZero) > balanced_growth_test_tol)
{
cerr << "ERROR: trends not compatible with balanced growth path; the second-order cross partial of equation " << eq + 1;
if (equations_lineno[eq])
cerr << " (line " << *equations_lineno[eq] << ") ";
cerr << "w.r.t. trend variable "
<< symbol_table.getName(symb_id1) << " and endogenous variable "
<< symbol_table.getName(symb_id2) << " is not null (abs. value = "
<< fabs(nearZero) << "). If you are confident that your trends are correctly specified, you can raise the value of option 'balanced_growth_test_tol' in the 'model' block." << endl;
exit(EXIT_FAILURE);
}
}
}
}
}
void
DynamicModel::writeLatexFile(const string &basename, bool write_equation_tags) const
{
writeLatexModelFile(basename, "dynamic", ExprNodeOutputType::latexDynamicModel, write_equation_tags);
}
void
DynamicModel::writeLatexOriginalFile(const string &basename, bool write_equation_tags) const
{
writeLatexModelFile(basename, "original", ExprNodeOutputType::latexDynamicModel, write_equation_tags);
}
void
DynamicModel::substituteEndoLeadGreaterThanTwo(bool deterministic_model)
{
substituteLeadLagInternal(AuxVarType::endoLead, deterministic_model, {});
}
void
DynamicModel::substituteEndoLagGreaterThanTwo(bool deterministic_model)
{
substituteLeadLagInternal(AuxVarType::endoLag, deterministic_model, {});
}
void
DynamicModel::substituteExoLead(bool deterministic_model)
{
substituteLeadLagInternal(AuxVarType::exoLead, deterministic_model, {});
}
void
DynamicModel::substituteExoLag(bool deterministic_model)
{
substituteLeadLagInternal(AuxVarType::exoLag, deterministic_model, {});
}
void
DynamicModel::substituteLeadLagInternal(AuxVarType type, bool deterministic_model, const vector<string> &subset)
{
ExprNode::subst_table_t subst_table;
vector<BinaryOpNode *> neweqs;
// Substitute in used model local variables
set<int> used_local_vars;
for (auto &equation : equations)
equation->collectVariables(SymbolType::modelLocalVariable, used_local_vars);
for (int used_local_var : used_local_vars)
{
const expr_t value = local_variables_table.at(used_local_var);
expr_t subst;
switch (type)
{
case AuxVarType::endoLead:
subst = value->substituteEndoLeadGreaterThanTwo(subst_table, neweqs, deterministic_model);
break;
case AuxVarType::endoLag:
subst = value->substituteEndoLagGreaterThanTwo(subst_table, neweqs);
break;
case AuxVarType::exoLead:
subst = value->substituteExoLead(subst_table, neweqs, deterministic_model);
break;
case AuxVarType::exoLag:
subst = value->substituteExoLag(subst_table, neweqs);
break;
case AuxVarType::diffForward:
subst = value->differentiateForwardVars(subset, subst_table, neweqs);
break;
default:
cerr << "DynamicModel::substituteLeadLagInternal: impossible case" << endl;
exit(EXIT_FAILURE);
}
local_variables_table[used_local_var] = subst;
}
// Substitute in equations
for (auto &equation : equations)
{
expr_t subst;
switch (type)
{
case AuxVarType::endoLead:
subst = equation->substituteEndoLeadGreaterThanTwo(subst_table, neweqs, deterministic_model);
break;
case AuxVarType::endoLag:
subst = equation->substituteEndoLagGreaterThanTwo(subst_table, neweqs);
break;
case AuxVarType::exoLead:
subst = equation->substituteExoLead(subst_table, neweqs, deterministic_model);
break;
case AuxVarType::exoLag:
subst = equation->substituteExoLag(subst_table, neweqs);
break;
case AuxVarType::diffForward:
subst = equation->differentiateForwardVars(subset, subst_table, neweqs);
break;
default:
cerr << "DynamicModel::substituteLeadLagInternal: impossible case" << endl;
exit(EXIT_FAILURE);
}
auto substeq = dynamic_cast<BinaryOpNode *>(subst);
assert(substeq);
equation = substeq;
}
// Add new equations
for (auto &neweq : neweqs)
{
addEquation(neweq, nullopt);
aux_equations.push_back(neweq);
}
if (neweqs.size() > 0)
{
cout << "Substitution of ";
switch (type)
{
case AuxVarType::endoLead:
cout << "endo leads >= 2";
break;
case AuxVarType::endoLag:
cout << "endo lags >= 2";
break;
case AuxVarType::exoLead:
cout << "exo leads";
break;
case AuxVarType::exoLag:
cout << "exo lags";
break;
case AuxVarType::expectation:
cout << "expectation";
break;
case AuxVarType::diffForward:
cout << "forward vars";
break;
default:
cerr << "DynamicModel::substituteLeadLagInternal: impossible case" << endl;
exit(EXIT_FAILURE);
}
cout << ": added " << neweqs.size() << " auxiliary variables and equations." << endl;
}
}
void
DynamicModel::substituteAdl()
{
/* Contrary to other substitution methods, we do the substitution in MLV
definitions here, instead of doing it at the ExprNode method level,
because otherwise this would substitute MLV in the original model (see
#65). */
for (auto &[id, definition] : local_variables_table)
definition = definition->substituteAdl();
for (auto &equation : equations)
equation = dynamic_cast<BinaryOpNode *>(equation->substituteAdl());
for (auto &equation : static_only_equations)
equation = dynamic_cast<BinaryOpNode *>(equation->substituteAdl());
}
void
DynamicModel::substituteModelLocalVariables()
{
for (auto &equation : equations)
equation = dynamic_cast<BinaryOpNode *>(equation->substituteModelLocalVariables());
for (auto &equation : static_only_equations)
equation = dynamic_cast<BinaryOpNode *>(equation->substituteModelLocalVariables());
/* We cant clear local_variables_table at this point, because in case of
ramsey_policy, the original model is saved via DynamicModel::operator=()
before computing the FOC. But since DataTree::operator=() clones all
nodes, it will try to clone nodes containing model-local variables, and
this will fail at the point where DataTree methods try to evaluate those
nodes to a numerical value. */
}
set<int>
DynamicModel::getEquationNumbersFromTags(const set<string> &eqtags) const
{
set<int> eqnumbers;
for (auto &eqtag : eqtags)
{
set<int> tmp = equation_tags.getEqnsByTag("name", eqtag);
if (tmp.empty())
{
cerr << "ERROR: looking for equation tag " << eqtag << " failed." << endl;
exit(EXIT_FAILURE);
}
eqnumbers.insert(tmp.begin(), tmp.end());
}
return eqnumbers;
}
set<int>
DynamicModel::findPacExpectationEquationNumbers() const
{
set<int> eqnumbers;
for (int i{0};
auto &equation : equations)
{
if (equation->containsPacExpectation())
eqnumbers.insert(i);
i++;
}
return eqnumbers;
}
pair<lag_equivalence_table_t, ExprNode::subst_table_t>
DynamicModel::substituteUnaryOps(VarExpectationModelTable &var_expectation_model_table, PacModelTable &pac_model_table)
{
vector<int> eqnumbers(equations.size());
iota(eqnumbers.begin(), eqnumbers.end(), 0);
return substituteUnaryOps({ eqnumbers.begin(), eqnumbers.end() }, var_expectation_model_table, pac_model_table);
}
pair<lag_equivalence_table_t, ExprNode::subst_table_t>
DynamicModel::substituteUnaryOps(const set<int> &eqnumbers, VarExpectationModelTable &var_expectation_model_table, PacModelTable &pac_model_table)
{
lag_equivalence_table_t nodes;
ExprNode::subst_table_t subst_table;
// Mark unary ops to be substituted in model local variables that appear in selected equations
set<int> used_local_vars;
for (int eqnumber : eqnumbers)
equations[eqnumber]->collectVariables(SymbolType::modelLocalVariable, used_local_vars);
for (int mlv : used_local_vars)
local_variables_table[mlv]->findUnaryOpNodesForAuxVarCreation(nodes);
// Mark unary ops to be substituted in selected equations
for (int eqnumber : eqnumbers)
equations[eqnumber]->findUnaryOpNodesForAuxVarCreation(nodes);
// Substitute in model local variables
vector<BinaryOpNode *> neweqs;
for (int mlv : used_local_vars)
local_variables_table[mlv] = local_variables_table[mlv]->substituteUnaryOpNodes(nodes, subst_table, neweqs);
// Substitute in equations
for (int eq : eqnumbers)
{
auto substeq = dynamic_cast<BinaryOpNode *>(equations[eq]->
substituteUnaryOpNodes(nodes, subst_table, neweqs));
assert(substeq);
equations[eq] = substeq;
}
// Substitute in expressions of var_expectation_model
var_expectation_model_table.substituteUnaryOpsInExpression(nodes, subst_table, neweqs);
// Substitute in growth terms in pac_model and pac_target_info
pac_model_table.substituteUnaryOpsInGrowth(nodes, subst_table, neweqs);
// Add new equations
for (auto &neweq : neweqs)
{
addEquation(neweq, nullopt);
aux_equations.push_back(neweq);
}
if (subst_table.size() > 0)
cout << "Substitution of Unary Ops: added " << neweqs.size() << " auxiliary variables and equations." << endl;
return { nodes, subst_table };
}
pair<lag_equivalence_table_t, ExprNode::subst_table_t>
DynamicModel::substituteDiff(VarExpectationModelTable &var_expectation_model_table, PacModelTable &pac_model_table)
{
/* Note: at this point, we know that there is no diff operator with a lead,
because they have been expanded by DataTree::AddDiff().
Hence we can go forward with the substitution without worrying about the
expectation operator. */
lag_equivalence_table_t diff_nodes;
ExprNode::subst_table_t diff_subst_table;
// Mark diff operators to be substituted in model local variables
set<int> used_local_vars;
for (auto equation : equations)
equation->collectVariables(SymbolType::modelLocalVariable, used_local_vars);
for (auto &[symb_id, expr] : local_variables_table)
if (used_local_vars.contains(symb_id))
expr->findDiffNodes(diff_nodes);
// Mark diff operators to be substituted in equations
for (auto equation : equations)
equation->findDiffNodes(diff_nodes);
pac_model_table.findDiffNodesInGrowth(diff_nodes);
// Substitute in model local variables
vector<BinaryOpNode *> neweqs;
for (auto &[symb_id, expr] : local_variables_table)
expr = expr->substituteDiff(diff_nodes, diff_subst_table, neweqs);
// Substitute in equations
for (auto &equation : equations)
{
auto substeq = dynamic_cast<BinaryOpNode *>(equation->
substituteDiff(diff_nodes, diff_subst_table, neweqs));
assert(substeq);
equation = substeq;
}
var_expectation_model_table.substituteDiffNodesInExpression(diff_nodes, diff_subst_table, neweqs);
pac_model_table.substituteDiffNodesInGrowth(diff_nodes, diff_subst_table, neweqs);
// Add new equations
for (auto neweq : neweqs)
{
addEquation(neweq, nullopt);
aux_equations.push_back(neweq);
}
if (diff_subst_table.size() > 0)
cout << "Substitution of Diff operator: added " << neweqs.size() << " auxiliary variables and equations." << endl;
return { diff_nodes, diff_subst_table };
}
void
DynamicModel::substituteExpectation(bool partial_information_model)
{
ExprNode::subst_table_t subst_table;
vector<BinaryOpNode *> neweqs;
// Substitute in model local variables
for (auto &[symb_id, expr] : local_variables_table)
expr = expr->substituteExpectation(subst_table, neweqs, partial_information_model);
// Substitute in equations
for (auto &equation : equations)
{
equation = dynamic_cast<BinaryOpNode *>(equation->substituteExpectation(subst_table, neweqs, partial_information_model));
assert(equation);
}
/* No need to substitute in static_only_equations, since expectation()
operators in [static] equations are forbidden at the parsing level. */
// Add new equations
for (auto neweq : neweqs)
{
addEquation(neweq, nullopt);
aux_equations.push_back(neweq);
}
if (subst_table.size() > 0)
{
if (partial_information_model)
cout << "Substitution of Expectation operator: added " << subst_table.size() << " auxiliary variables and " << neweqs.size() << " auxiliary equations." << endl;
else
cout << "Substitution of Expectation operator: added " << neweqs.size() << " auxiliary variables and equations." << endl;
}
}
void
DynamicModel::transformPredeterminedVariables()
{
for (auto &[id, definition] : local_variables_table)
definition = definition->decreaseLeadsLagsPredeterminedVariables();
for (auto &equation : equations)
{
equation = dynamic_cast<BinaryOpNode *>(equation->decreaseLeadsLagsPredeterminedVariables());
assert(equation);
}
// No need to handle static_only_equations, since there are no leads/lags there
}
void
DynamicModel::substituteLogTransform()
{
for (int symb_id : symbol_table.getVariablesWithLogTransform())
{
expr_t aux_def = AddLog(AddVariable(symb_id));
int aux_symb_id = symbol_table.addLogTransformAuxiliaryVar(symb_id, 0, aux_def);
for (auto &[id, definition] : local_variables_table)
definition = definition->substituteLogTransform(symb_id, aux_symb_id);
for (auto &equation : equations)
equation = dynamic_cast<BinaryOpNode *>(equation->substituteLogTransform(symb_id, aux_symb_id));
for (auto &equation : static_only_equations)
equation = dynamic_cast<BinaryOpNode *>(equation->substituteLogTransform(symb_id, aux_symb_id));
/*
We add the following new equations:
+ X=exp(log_X) to the model
+ log_X=log(X) to the list of auxiliary equations
In this way:
+ statements like X=1 in initval/endval blocks will be correctly
handled (i.e. log_X will be initialized to 0 in this case), through
the set_auxiliary_variables.m and dynamic_set_auxiliary_series.m files
+ computation of X in perfect foresight simulations will be done by
simple evaluation when using block decomposition (X will belong to an
block of type “evaluate”, or maybe even the epilogue)
*/
addAuxEquation(AddEqual(AddVariable(aux_symb_id), aux_def));
addEquation(AddEqual(AddVariable(symb_id), AddExp(AddVariable(aux_symb_id))),
nullopt, {});
}
}
void
DynamicModel::checkNoWithLogTransform(const set<int> &eqnumbers)
{
set<int> endos;
for (int eq : eqnumbers)
equations[eq]->collectVariables(SymbolType::endogenous, endos);
const set<int> &with_log_transform = symbol_table.getVariablesWithLogTransform();
vector<int> intersect;
set_intersection(endos.begin(), endos.end(),
with_log_transform.begin(), with_log_transform.end(),
back_inserter(intersect));
if (!intersect.empty())
{
cerr << "ERROR: the following variables are declared with var(log) and therefore cannot appear in a VAR/TCM/PAC equation: ";
for (int symb_id : intersect)
cerr << symbol_table.getName(symb_id) << " ";
cerr << endl;
exit(EXIT_FAILURE);
}
}
void
DynamicModel::detrendEquations()
{
// We go backwards in the list of trend_vars, to deal correctly with I(2) processes
for (auto it = nonstationary_symbols_map.crbegin();
it != nonstationary_symbols_map.crend(); ++it)
{
for (auto &equation : equations)
{
equation = dynamic_cast<BinaryOpNode *>(equation->detrend(it->first, it->second.first, it->second.second));
assert(equation);
}
for (auto &equation : static_only_equations)
{
equation = dynamic_cast<BinaryOpNode *>(equation->detrend(it->first, it->second.first, it->second.second));
assert(equation);
}
}
for (auto &equation : equations)
{
equation = dynamic_cast<BinaryOpNode *>(equation->removeTrendLeadLag(trend_symbols_map));
assert(equation);
}
for (auto &equation : static_only_equations)
{
equation = dynamic_cast<BinaryOpNode *>(equation->removeTrendLeadLag(trend_symbols_map));
assert(equation);
}
}
void
DynamicModel::removeTrendVariableFromEquations()
{
for (auto &equation : equations)
{
equation = dynamic_cast<BinaryOpNode *>(equation->replaceTrendVar());
assert(equation);
}
for (auto &equation : static_only_equations)
{
equation = dynamic_cast<BinaryOpNode *>(equation->replaceTrendVar());
assert(equation);
}
}
void
DynamicModel::differentiateForwardVars(const vector<string> &subset)
{
substituteLeadLagInternal(AuxVarType::diffForward, true, subset);
}
void
DynamicModel::fillEvalContext(eval_context_t &eval_context) const
{
// First, auxiliary variables
for (auto aux_equation : aux_equations)
{
assert(aux_equation->op_code == BinaryOpcode::equal);
auto auxvar = dynamic_cast<VariableNode *>(aux_equation->arg1);
assert(auxvar);
try
{
double val = aux_equation->arg2->eval(eval_context);
eval_context[auxvar->symb_id] = val;
}
catch (ExprNode::EvalException &e)
{
// Do nothing
}
}
// Second, model local variables
for (auto &[symb_id, expression] : local_variables_table)
{
try
{
double val = expression->eval(eval_context);
eval_context[symb_id] = val;
}
catch (ExprNode::EvalException &e)
{
// Do nothing
}
}
//Third, trend variables
for (int trendVar : symbol_table.getTrendVarIds())
eval_context[trendVar] = 2; //not <= 0 bc of log, not 1 bc of powers
}
void
DynamicModel::addStaticOnlyEquation(expr_t eq, optional<int> lineno, const map<string, string> &eq_tags)
{
auto beq = dynamic_cast<BinaryOpNode *>(eq);
assert(beq && beq->op_code == BinaryOpcode::equal);
static_only_equations_equation_tags.add(static_only_equations.size(), eq_tags);
static_only_equations.push_back(beq);
static_only_equations_lineno.push_back(move(lineno));
}
size_t
DynamicModel::staticOnlyEquationsNbr() const
{
return static_only_equations.size();
}
size_t
DynamicModel::dynamicOnlyEquationsNbr() const
{
return equation_tags.getDynamicEqns().size();
}
void
DynamicModel::addOccbinEquation(expr_t eq, optional<int> lineno, const map<string, string> &eq_tags, const vector<string> &regimes_bind, const vector<string> &regimes_relax)
{
auto beq = dynamic_cast<BinaryOpNode *>(eq);
assert(beq && beq->op_code == BinaryOpcode::equal);
// Construct the term to be added to the corresponding equation
expr_t basic_term = AddMinus(beq->arg1, beq->arg2);
expr_t term = basic_term;
for (auto &regime : regimes_bind)
{
int param_id = symbol_table.getID(ParsingDriver::buildOccbinBindParamName(regime));
term = AddTimes(term, AddVariable(param_id));
}
for (auto &regime : regimes_relax)
{
int param_id = symbol_table.getID(ParsingDriver::buildOccbinBindParamName(regime));
term = AddTimes(term, AddMinus(One, AddVariable(param_id)));
}
// Create or update the dynamic equation
optional<int> eqn { equation_tags.getEqnByTag("name", eq_tags.at("name")) };
if (eqn)
{
BinaryOpNode *orig_eq { equations[*eqn] };
/* In the following, we could have kept only orig_eq->arg1, but the
following adds a (somewhat bizarre) support for equation snippets
without “bind” nor “relax” */
equations[*eqn] = AddEqual(AddPlus(AddMinus(orig_eq->arg1, orig_eq->arg2), term), Zero);
// Its unclear how to update lineno and tags, so dont do it
}
else
{
auto eq_tags_dynamic = eq_tags;
eq_tags_dynamic["dynamic"] = "";
addEquation(AddEqual(term, Zero), lineno, eq_tags_dynamic);
}
// Create or update the static equation (corresponding to the pure relax regime)
if (regimes_bind.empty())
{
/* Similar remark as above. We could have entirely skipped this
equation updating, since normally there is only one such clause,
but the following adds a (somewhat bizarre) support for equation
snippets without “bind” nor “relax” */
optional<int> eqn_static { static_only_equations_equation_tags.getEqnByTag("name", eq_tags.at("name")) };
if (eqn_static)
{
BinaryOpNode *orig_eq { static_only_equations[*eqn_static] };
static_only_equations[*eqn_static] = AddEqual(AddPlus(AddMinus(orig_eq->arg1, orig_eq->arg2), basic_term), Zero);
// Its unclear how to update lineno and tags, so dont do it
}
else
{
auto eq_tags_static = eq_tags;
eq_tags_static["static"] = "";
addStaticOnlyEquation(AddEqual(basic_term, Zero), lineno, eq_tags_static);
}
}
}
bool
DynamicModel::isChecksumMatching(const string &basename) const
{
stringstream buffer;
// Write equation tags
equation_tags.writeCheckSumInfo(buffer);
constexpr ExprNodeOutputType buffer_type{ExprNodeOutputType::CDynamicModel};
deriv_node_temp_terms_t tef_terms;
temporary_terms_t temp_term_union;
writeTemporaryTerms<buffer_type>(temporary_terms_derivatives[0],
temp_term_union, temporary_terms_idxs,
buffer, tef_terms);
writeModelEquations<buffer_type>(buffer, temp_term_union);
size_t result = hash<string>{}(buffer.str());
// check whether basename directory exist. If not, create it.
// If it does, read old checksum if it exists, return if equal to result
fstream checksum_file;
auto filename = filesystem::path{basename} / "checksum";
if (!filesystem::create_directory(basename))
{
checksum_file.open(filename, ios::in | ios::binary);
if (checksum_file.is_open())
{
size_t old_checksum;
checksum_file >> old_checksum;
checksum_file.close();
if (old_checksum == result)
return true;
}
}
// write new checksum file if none or different from old checksum
checksum_file.open(filename, ios::out | ios::binary);
if (!checksum_file.is_open())
{
cerr << "ERROR: Can't open file " << filename.string() << endl;
exit(EXIT_FAILURE);
}
checksum_file << result;
checksum_file.close();
return false;
}
void
DynamicModel::writeJsonOutput(ostream &output) const
{
deriv_node_temp_terms_t tef_terms;
writeJsonModelLocalVariables(output, false, tef_terms);
output << ", ";
writeJsonModelEquations(output, false);
output << ", ";
writeJsonXrefs(output);
output << ", ";
writeJsonAST(output);
output << ", ";
writeJsonVariableMapping(output);
output << R"(, "dynamic_tmp_nbr": [)";
for (bool printed_something {false};
const auto &tts : temporary_terms_derivatives)
{
if (exchange(printed_something, true))
output << ", ";
output << tts.size();
}
output << "], ";
writeJsonSparseIndicesHelper<true>(output);
}
void
DynamicModel::writeJsonAST(ostream &output) const
{
vector<pair<string, string>> eqtags;
output << R"("abstract_syntax_tree":[)" << endl;
for (int eq = 0; eq < static_cast<int>(equations.size()); eq++)
{
if (eq != 0)
output << ", ";
output << R"({ "number":)" << eq;
if (equations_lineno[eq])
output << R"(, "line":)" << *equations_lineno[eq];
equation_tags.writeJsonAST(output, eq);
output << R"(, "AST": )";
equations[eq]->writeJsonAST(output);
output << "}";
}
output << "]";
}
void
DynamicModel::writeJsonVariableMapping(ostream &output) const
{
output << R"("variable_mapping":[)" << endl;
for (bool printed_something{false};
const auto &[var, eqs] : variableMapping)
{
if (exchange(printed_something, true))
output << ", ";
output << R"({"name": ")" << symbol_table.getName(var) << R"(", "equations":[)";
for (bool printed_something2{false};
int it2 : eqs)
if (auto tmp = equation_tags.getTagValueByEqnAndKey(it2, "name");
tmp)
{
if (exchange(printed_something2, true))
output << ", ";
output << '"' << *tmp << '"';
}
output << "]}" << endl;
}
output << "]";
}
void
DynamicModel::writeJsonXrefsHelper(ostream &output, const map<pair<int, int>, set<int>> &xrefmap) const
{
for (bool printed_something{false};
const auto &[symb_lag, eqs] : xrefmap)
{
if (exchange(printed_something, true))
output << ", ";
output << R"({"name": ")" << symbol_table.getName(symb_lag.first) << R"(")"
<< R"(, "shift": )" << symb_lag.second
<< R"(, "equations": [)";
for (bool printed_something2{false};
int eq : eqs)
{
if (exchange(printed_something2, true))
output << ", ";
output << eq + 1;
}
output << "]}";
}
}
void
DynamicModel::writeJsonXrefs(ostream &output) const
{
output << R"("xrefs": {)"
<< R"("parameters": [)";
writeJsonXrefsHelper(output, xref_param);
output << "]"
<< R"(, "endogenous": [)";
writeJsonXrefsHelper(output, xref_endo);
output << "]"
<< R"(, "exogenous": [)";
writeJsonXrefsHelper(output, xref_exo);
output << "]"
<< R"(, "exogenous_deterministic": [)";
writeJsonXrefsHelper(output, xref_exo_det);
output << "]}" << endl;
}
void
DynamicModel::writeJsonOriginalModelOutput(ostream &output) const
{
writeJsonModelEquations(output, false);
output << ", ";
writeJsonAST(output);
}
void
DynamicModel::writeJsonDynamicModelInfo(ostream &output) const
{
output << R"("model_info": {)"
<< R"("lead_lag_incidence": [)";
// Loop on endogenous variables
int nstatic = 0,
nfwrd = 0,
npred = 0,
nboth = 0;
for (int endoID = 0; endoID < symbol_table.endo_nbr(); endoID++)
{
if (endoID != 0)
output << ",";
output << "[";
int sstatic = 1,
sfwrd = 0,
spred = 0,
sboth = 0;
// Loop on periods
for (int lag = -max_endo_lag; lag <= max_endo_lead; lag++)
{
// Print variableID if exists with current period, otherwise print 0
try
{
if (lag != -max_endo_lag)
output << ",";
int varID = getDerivID(symbol_table.getID(SymbolType::endogenous, endoID), lag);
output << " " << getJacobianCol(varID, false) + 1;
if (lag == -1)
{
sstatic = 0;
spred = 1;
}
else if (lag == 1)
{
if (spred == 1)
{
sboth = 1;
spred = 0;
}
else
{
sstatic = 0;
sfwrd = 1;
}
}
}
catch (UnknownDerivIDException &e)
{
output << " 0";
}
}
nstatic += sstatic;
nfwrd += sfwrd;
npred += spred;
nboth += sboth;
output << "]";
}
output << "], "
<< R"("nstatic": )" << nstatic << ", " << endl
<< R"("nfwrd": )" << nfwrd << ", " << endl
<< R"("npred": )" << npred << ", " << endl
<< R"("nboth": )" << nboth << ", " << endl
<< R"("nsfwrd": )" << nfwrd+nboth << ", " << endl
<< R"("nspred": )" << npred+nboth << ", " << endl
<< R"("ndynamic": )" << npred+nboth+nfwrd << ", " << endl
<< R"("maximum_endo_lag": )" << max_endo_lag << ", " << endl
<< R"("maximum_endo_lead": )" << max_endo_lead << ", " << endl
<< R"("maximum_exo_lag": )" << max_exo_lag << ", " << endl
<< R"("maximum_exo_lead": )" << max_exo_lead << ", " << endl
<< R"("maximum_exo_det_lag": )" << max_exo_det_lag << ", " << endl
<< R"("maximum_exo_det_lead": )" << max_exo_det_lead << ", " << endl
<< R"("maximum_lag": )" << max_lag << ", " << endl
<< R"("maximum_lead": )" << max_lead << ", " << endl
<< R"("orig_maximum_endo_lag": )" << max_endo_lag_orig << "," << endl
<< R"("orig_maximum_endo_lead": )" << max_endo_lead_orig << "," << endl
<< R"("orig_maximum_exo_lag": )" << max_exo_lag_orig << "," << endl
<< R"("orig_maximum_exo_lead": )" << max_exo_lead_orig << "," << endl
<< R"("orig_maximum_exo_det_lag": )" << max_exo_det_lag_orig << "," << endl
<< R"("orig_maximum_exo_det_lead": )" << max_exo_det_lead_orig << "," << endl
<< R"("orig_maximum_lag": )" << max_lag_orig << "," << endl
<< R"("orig_maximum_lead": )" << max_lead_orig << "," << endl
<< R"("orig_maximum_lag_with_diffs_expanded": )" << max_lag_with_diffs_expanded_orig
<< "," <<endl
<< R"("NNZDerivatives": [)";
for (int i = 1; i < static_cast<int>(NNZDerivatives.size()); i++)
{
output << (i > computed_derivs_order ? -1 : NNZDerivatives[i]);
if (i < static_cast<int>(NNZDerivatives.size()) - 1)
output << ", ";
}
output << "]}"
<< endl;
}
void
DynamicModel::writeJsonComputingPassOutput(ostream &output, bool writeDetails) const
{
auto [mlv_output, d_output] { writeJsonComputingPassOutputHelper<true>(writeDetails) };
if (writeDetails)
output << R"("dynamic_model": {)";
else
output << R"("dynamic_model_simple": {)";
output << mlv_output.str();
for (const auto &it : d_output)
output << ", " << it.str();
output << "}";
}
void
DynamicModel::writeJsonParamsDerivatives(ostream &output, bool writeDetails) const
{
if (!params_derivatives.size())
return;
auto [mlv_output, tt_output, rp_output, gp_output, rpp_output, gpp_output, hp_output, g3p_output]
{ writeJsonParamsDerivativesHelper<true>(writeDetails) };
if (writeDetails)
output << R"("dynamic_model_params_derivative": {)";
else
output << R"("dynamic_model_params_derivatives_simple": {)";
output << mlv_output.str()
<< ", " << tt_output.str()
<< ", " << rp_output.str()
<< ", " << gp_output.str()
<< ", " << rpp_output.str()
<< ", " << gpp_output.str()
<< ", " << hp_output.str()
<< ", " << g3p_output.str()
<< "}";
}
void
DynamicModel::substituteVarExpectation(const map<string, expr_t> &subst_table)
{
for (auto &equation : equations)
equation = dynamic_cast<BinaryOpNode *>(equation->substituteVarExpectation(subst_table));
}
void
DynamicModel::checkNoRemainingPacExpectation() const
{
for (size_t eq = 0; eq < equations.size(); eq++)
if (equations[eq]->containsPacExpectation())
{
cerr << "ERROR: in equation " << equation_tags.getTagValueByEqnAndKey(eq, "name").value_or(to_string(eq+1))
<< ", the pac_expectation operator references an unknown pac_model" << endl;
exit(EXIT_FAILURE);
}
}
void
DynamicModel::simplifyEquations()
{
size_t last_subst_table_size = 0;
map<VariableNode *, NumConstNode *> subst_table;
// Equations with “mcp” tag are excluded, see dynare#1697
findConstantEquationsWithoutMcpTag(subst_table);
while (subst_table.size() != last_subst_table_size)
{
last_subst_table_size = subst_table.size();
for (auto &[id, definition] : local_variables_table)
definition = definition->replaceVarsInEquation(subst_table);
for (auto &equation : equations)
equation = dynamic_cast<BinaryOpNode *>(equation->replaceVarsInEquation(subst_table));
for (auto &equation : static_only_equations)
equation = dynamic_cast<BinaryOpNode *>(equation->replaceVarsInEquation(subst_table));
subst_table.clear();
findConstantEquationsWithoutMcpTag(subst_table);
}
}
void
DynamicModel::checkNoRemainingPacTargetNonstationary() const
{
for (size_t eq = 0; eq < equations.size(); eq++)
if (equations[eq]->containsPacTargetNonstationary())
{
cerr << "ERROR: in equation " << equation_tags.getTagValueByEqnAndKey(eq, "name").value_or(to_string(eq+1))
<< ", the pac_target_nonstationary operator does not match a corresponding 'pac_target_info' block" << endl;
exit(EXIT_FAILURE);
}
}
void
DynamicModel::checkIsLinear() const
{
if (!nonzero_hessian_eqs.empty())
{
cerr << "ERROR: If the model is declared linear the second derivatives must be equal to zero." << endl
<< " The following equations have non-zero second derivatives:" << endl;
for (auto it : nonzero_hessian_eqs)
{
cerr << " * Eq # " << it+1;
if (optional<string> eqname { equation_tags.getTagValueByEqnAndKey(it, "name") };
eqname)
cerr << " [" << *eqname << "]";
cerr << endl;
}
exit(EXIT_FAILURE);
}
}