Beispiel #1
0
IVector ode_solver::extract_invariants() {
    map<Enode*, pair<double, double>> inv_map;
    for (auto inv : m_invs) {
        Enode * p = inv->getCdr()->getCdr()->getCdr()->getCdr()->getCar();
        Enode * op = p->getCar();
        bool pos = true;

        // Handle Negation
        if (op->getId() == ENODE_ID_NOT) {
            p = p->getCdr()->getCar();
            op = p->getCar();
            pos = false;
        }
        switch (op->getId()) {
        case ENODE_ID_GEQ:
        case ENODE_ID_GT:
            // Handle >= & >
            pos = !pos;
        case ENODE_ID_LEQ:
        case ENODE_ID_LT: {
            // Handle <= & <
            Enode * lhs = pos ? p->getCdr()->getCar() : p->getCdr()->getCdr()->getCar();
            Enode * rhs = pos ? p->getCdr()->getCdr()->getCar() : p->getCdr()->getCar();
            if (lhs->isVar() && rhs->isConstant()) {
                if (inv_map.find(lhs) != inv_map.end()) {
                    inv_map[lhs].second = rhs->getValue();
                } else {
                    inv_map.emplace(lhs, make_pair(lhs->getLowerBound(), rhs->getValue()));
                }
            } else if (lhs->isConstant() && rhs->isVar()) {
                if (inv_map.find(rhs) != inv_map.end()) {
                    inv_map[rhs].first = lhs->getValue();
                } else {
                    inv_map.emplace(rhs, make_pair(lhs->getValue(), rhs->getUpperBound()));
                }
            } else {
                cerr << "ode_solver::extract_invariant: error:" << p << endl;
            }
        }
            break;
        default:
            cerr << "ode_solver::extract_invariant: error" << p << endl;
        }
    }
    IVector ret (m_t_vars.size());
    unsigned i = 0;
    for (auto const & m_t_var : m_t_vars) {
        if (inv_map.find(m_t_var) != inv_map.end()) {
            auto inv = interval(inv_map[m_t_var].first, inv_map[m_t_var].second);
            DREAL_LOG_INFO << "Invariant extracted from  " << m_t_var << " = " << inv;
            ret[i++] = inv;
        } else {
            auto inv = interval(m_t_var->getLowerBound(), m_t_var->getUpperBound());
            DREAL_LOG_INFO << "Default Invariant set for " << m_t_var << " = " << inv;
            ret[i++] = inv;
        }
    }
    return ret;
}
Beispiel #2
0
dreal_expr dreal_get_value(dreal_context c, dreal_expr v) {
  assert(c);
  assert(v);
  OpenSMTContext * c_ = static_cast<OpenSMTContext *>(c);
  OpenSMTContext & context = *c_;
  assert(context.getStatus() == l_True);
  Enode * var = static_cast<Enode *>(v);
  const Real & value = var->getValue();
  Enode * res = context.mkNum(value);
  return static_cast<void *>(res);
}
Beispiel #3
0
ode_solver::ode_solver(SMTConfig& c,
                       Egraph & e,
                       Enode * l_int,
                       vector<Enode*> invs,
                       unordered_map<Enode*, int>& enode_to_rp_id) :
    m_config(c),
    m_egraph(e),
    m_int(l_int),
    m_invs(invs),
    m_enode_to_rp_id(enode_to_rp_id),
    m_stepControl(c.nra_ODE_step),
    m_time(nullptr) {
    // Pick the right flow_map (var |-> ODE) using current mode
    m_mode = l_int->getCdr()->getCar()->getValue();
    map<string, Enode *> & flow_map = m_egraph.flow_maps[string("flow_") + to_string(m_mode)];
    m_time = l_int->getCdr()->getCdr()->getCdr()->getCar();
    string time_str = m_time->getCar()->getName();                       // i.e. "time_1"
    m_step = stoi(time_str.substr(time_str.find_last_of("_") + 1));      // i.e. 1
    Enode * var_list = l_int->getCdr()->getCdr()->getCdr()->getCdr();

    // Collect _0, _t variables from variable list in integral literal
    while (!var_list->isEnil()) {
        string name = var_list->getCar()->getCar()->getName();
        size_t second_ = name.find_last_of("_");
        size_t first_ = name.find_last_of("_", second_ - 1);
        string name_prefix, name_postfix;
        if (first_ == string::npos) {
            name_prefix = name.substr(0, second_);
            name_postfix = name.substr(second_);
        } else {
            name_prefix = name.substr(0, first_);
            name_postfix = name.substr(first_);
        }
        if (flow_map.find(name_prefix) == flow_map.end()) {
            cerr << name_prefix << " is not found in flow_map." << endl;
            assert(flow_map.find(name_prefix) != flow_map.end());
        }

        Enode * rhs = flow_map[name_prefix];
        stringstream ss;
        rhs->print_infix(ss, true, name_postfix);
        if (rhs->isConstant() && rhs->getValue() == 0.0) {
            // If RHS of ODE == 0.0, we treat it as a parameter in CAPD
            m_pars.push_back(var_list->getCar());
            m_par_list.push_back(name);
        } else {
            // Otherwise, we treat it as an ODE variable.
            m_0_vars.push_back(var_list->getCar());
            m_t_vars.push_back(var_list->getCdr()->getCar());
            m_var_list.push_back(name);
            m_ode_list.push_back(ss.str());
        }
        var_list = var_list->getCdr()->getCdr();
    }

    // join var_list to make diff_var, ode_list to diff_fun_forward
    string diff_var = "";
    if (!m_var_list.empty()) {
        diff_var = "var:" + join(m_var_list, ", ") + ";";
    }
    string diff_fun_forward = "";
    string diff_fun_backward = "";
    if (!m_ode_list.empty()) {
        diff_fun_forward = "fun:" + join(m_ode_list, ", ") + ";";
        diff_fun_backward = "fun: -" + join(m_ode_list, ", -") + ";";
    }
    // construct diff_sys_forward (string to CAPD)
    string diff_par;
    if (m_par_list.size() > 0) {
        diff_par = "par:" + join(m_par_list, ", ") + ";";
        m_diff_sys_forward = diff_par;
        m_diff_sys_backward = diff_par;
    }
    m_diff_sys_forward  += diff_var + diff_fun_forward;
    m_diff_sys_backward += diff_var + diff_fun_backward;
    DREAL_LOG_INFO << "diff_par          : " << diff_par;
    DREAL_LOG_INFO << "diff_var          : " << diff_var;
    DREAL_LOG_INFO << "diff_fun_forward  : " << diff_fun_forward;
    DREAL_LOG_INFO << "diff_fun_backward : " << diff_fun_backward;
    DREAL_LOG_INFO << "diff_sys_forward  : " << m_diff_sys_forward;
    DREAL_LOG_INFO << "diff_sys_backward : " << m_diff_sys_backward;
    for (auto ode_str : m_ode_list) {
        string const func_str = diff_par + diff_var + "fun:" + ode_str + ";";
        m_funcs.push_back(IFunction(func_str));
    };
    m_inv = extract_invariants();
    }