/*++ Copyright (c) 2011 Microsoft Corporation Module Name: model_mev_array.cpp Abstract: Evaluate array expressions in a given model. Author: Revision History: --*/ #include"model/model.h" #include "model/model_evaluator_params.hpp" #include"ast/rewriter/rewriter_types.h" #include"model/model_evaluator.h" #include"muz/spacer/spacer_mev_array.h" #include"ast/rewriter/bool_rewriter.h" #include"ast/rewriter/arith_rewriter.h" #include"ast/rewriter/bv_rewriter.h" #include"ast/rewriter/datatype_rewriter.h" #include"ast/rewriter/array_rewriter.h" #include"ast/rewriter/rewriter_def.h" #include"ast/ast_pp.h" #include"model/func_interp.h" // model_evaluator_array_util void model_evaluator_array_util::eval_exprs(model& mdl, expr_ref_vector& es) { for (unsigned j = 0; j < es.size(); ++j) { if (m_array.is_as_array(es.get (j))) { expr_ref r (m); eval(mdl, es.get (j), r); es.set (j, r); } } } bool model_evaluator_array_util::extract_array_func_interp(model& mdl, expr* a, vector& stores, expr_ref& else_case) { SASSERT(m_array.is_array(a)); TRACE("model_evaluator", tout << mk_pp(a, m) << "\n";); while (m_array.is_store(a)) { expr_ref_vector store(m); store.append(to_app(a)->get_num_args()-1, to_app(a)->get_args()+1); eval_exprs(mdl, store); stores.push_back(store); a = to_app(a)->get_arg(0); } if (m_array.is_const(a)) { else_case = to_app(a)->get_arg(0); return true; } while (m_array.is_as_array(a)) { func_decl* f = m_array.get_as_array_func_decl(to_app(a)); func_interp* g = mdl.get_func_interp(f); unsigned sz = g->num_entries(); unsigned arity = f->get_arity(); for (unsigned i = 0; i < sz; ++i) { expr_ref_vector store(m); func_entry const* fe = g->get_entry(i); store.append(arity, fe->get_args()); store.push_back(fe->get_result()); for (unsigned j = 0; j < store.size(); ++j) { if (!is_ground(store[j].get())) { TRACE("model_evaluator", tout << "could not extract array interpretation: " << mk_pp(a, m) << "\n" << mk_pp(store[j].get(), m) << "\n";); return false; } } eval_exprs(mdl, store); stores.push_back(store); } else_case = g->get_else(); if (!else_case) { TRACE("model_evaluator", tout << "no else case " << mk_pp(a, m) << "\n";); return false; } if (!is_ground(else_case)) { TRACE("model_evaluator", tout << "non-ground else case " << mk_pp(a, m) << "\n" << mk_pp(else_case, m) << "\n";); return false; } if (m_array.is_as_array(else_case)) { expr_ref r (m); eval(mdl, else_case, r); else_case = r; } TRACE("model_evaluator", tout << "else case: " << mk_pp(else_case, m) << "\n";); return true; } TRACE("model_evaluator", tout << "no translation: " << mk_pp(a, m) << "\n";); return false; } void model_evaluator_array_util::eval_array_eq(model& mdl, app* e, expr* arg1, expr* arg2, expr_ref& res) { TRACE("model_evaluator", tout << "array equality: " << mk_pp(e, m) << "\n";); expr_ref v1(m), v2(m); eval (mdl, arg1, v1); eval (mdl, arg2, v2); if (v1 == v2) { res = m.mk_true (); return; } sort* s = m.get_sort(arg1); sort* r = get_array_range(s); // give up evaluating finite domain/range arrays if (!r->is_infinite() && !r->is_very_big() && !s->is_infinite() && !s->is_very_big()) { TRACE("model_evaluator", tout << "equality is unknown: " << mk_pp(e, m) << "\n";); res.reset (); return; } vector store; expr_ref else1(m), else2(m); if (!extract_array_func_interp(mdl, v1, store, else1) || !extract_array_func_interp(mdl, v2, store, else2)) { TRACE("model_evaluator", tout << "equality is unknown: " << mk_pp(e, m) << "\n";); res.reset (); return; } if (else1 != else2) { if (m.is_value(else1) && m.is_value(else2)) { TRACE("model_evaluator", tout << "defaults are different: " << mk_pp(e, m) << " " << mk_pp(else1, m) << " " << mk_pp(else2, m) << "\n";); res = m.mk_false (); } else if (m_array.is_array(else1)) { eval_array_eq(mdl, e, else1, else2, res); } else { TRACE("model_evaluator", tout << "equality is unknown: " << mk_pp(e, m) << "\n";); res.reset (); } return; } expr_ref s1(m), s2(m), w1(m), w2(m); expr_ref_vector args1(m), args2(m); args1.push_back(v1); args2.push_back(v2); for (unsigned i = 0; i < store.size(); ++i) { args1.resize(1); args2.resize(1); args1.append(store[i].size()-1, store[i].c_ptr()); args2.append(store[i].size()-1, store[i].c_ptr()); s1 = m_array.mk_select(args1.size(), args1.c_ptr()); s2 = m_array.mk_select(args2.size(), args2.c_ptr()); eval (mdl, s1, w1); eval (mdl, s2, w2); if (w1 == w2) { continue; } if (m.is_value(w1) && m.is_value(w2)) { TRACE("model_evaluator", tout << "Equality evaluation: " << mk_pp(e, m) << "\n"; tout << mk_pp(s1, m) << " |-> " << mk_pp(w1, m) << "\n"; tout << mk_pp(s2, m) << " |-> " << mk_pp(w2, m) << "\n";); res = m.mk_false (); } else if (m_array.is_array(w1)) { eval_array_eq(mdl, e, w1, w2, res); if (m.is_true (res)) { continue; } } else { TRACE("model_evaluator", tout << "equality is unknown: " << mk_pp(e, m) << "\n";); res.reset (); } return; } res = m.mk_true (); } void model_evaluator_array_util::eval(model& mdl, expr* e, expr_ref& r, bool model_completion) { model_evaluator mev (mdl); mev.set_model_completion (model_completion); bool eval_result = true; try { mev (e, r); } catch (model_evaluator_exception &) { eval_result = false; } VERIFY(eval_result); if (m_array.is_array(e)) { vector stores; expr_ref_vector args(m); expr_ref else_case(m); if (extract_array_func_interp(mdl, r, stores, else_case)) { r = m_array.mk_const_array(m.get_sort(e), else_case); while (!stores.empty() && stores.back().back() == else_case) { stores.pop_back(); } for (unsigned i = stores.size(); i > 0; ) { --i; args.resize(1); args[0] = r; args.append(stores[i]); r = m_array.mk_store(args.size(), args.c_ptr()); } return; } } return; }