#include "ast/euf/ho_matcher.h" namespace euf { class test_ho_matcher { struct plugins { plugins(ast_manager& m) { reg_decl_plugins(m); } }; ast_manager m; plugins m_plugins; trail_stack m_trail; ho_matcher m_matcher; arith_util m_arith; array_util m_array; sort_ref m_int; func_decl_ref m_f; public: test_ho_matcher() : m_plugins(m), m_matcher(m, m_trail), m_arith(m), m_array(m), m_int(m), m_f(m) { m_int = m_arith.mk_int(); m_f = m.mk_func_decl(symbol("f"), m_int, m_int, m_int); std::function on_match = [&](ho_subst& s) { s.display(verbose_stream() << "match\n"); }; m_matcher.set_on_match(on_match); } // f(v0, v1) = f(1, 0) void test1() { expr_ref v0(m.mk_var(0, m_int), m); expr_ref v1(m.mk_var(1, m_int), m); expr_ref zero(m_arith.mk_int(0), m); expr_ref one(m_arith.mk_int(1), m); expr_ref_vector args(m); args.push_back(v0); args.push_back(v1); expr_ref pat(m.mk_app(m_f, args), m); args.reset(); args.push_back(one); args.push_back(zero); expr_ref t(m.mk_app(m_f, args), m); m_matcher.add_pattern(pat.get()); IF_VERBOSE(0, verbose_stream() << "test2 " << pat << " ~ " << t << "\n"); m_matcher(pat, t, 2); } // f(v0, v0) = f(1, 0) // should fail void test2() { expr_ref v0(m.mk_var(0, m_int), m); expr_ref zero(m_arith.mk_int(0), m); expr_ref one(m_arith.mk_int(1), m); expr_ref_vector args(m); args.push_back(v0); args.push_back(v0); expr_ref pat(m.mk_app(m_f, args), m); args.reset(); args.push_back(one); args.push_back(zero); expr_ref t(m.mk_app(m_f, args), m); m_matcher.add_pattern(pat.get()); IF_VERBOSE(0, verbose_stream() << "test2 " << pat << " ~ " << t << "\n"); m_matcher(pat, t, 1); } // v0(1) = 0 void test3() { sort_ref int2int(m_array.mk_array_sort(m_int, m_int), m); expr_ref v0(m.mk_var(0, int2int), m); expr_ref zero(m_arith.mk_int(0), m); expr_ref one(m_arith.mk_int(1), m); expr_ref p(m_array.mk_select(v0, one), m); m_matcher.add_pattern(p.get()); IF_VERBOSE(0, verbose_stream() << "test3 " << p << " ~ " << zero << "\n"); m_matcher(p, zero, 1); } // v0(1) = 1 void test4() { sort_ref int2int(m_array.mk_array_sort(m_int, m_int), m); expr_ref v0(m.mk_var(0, int2int), m); expr_ref one(m_arith.mk_int(1), m); expr_ref p(m_array.mk_select(v0, one), m); m_matcher.add_pattern(p.get()); IF_VERBOSE(0, verbose_stream() << "test4 " << p << " ~ " << one << "\n"); m_matcher(p, one, 1); } // f(l') + sum l u f void test5() { sort_ref int2int(m_array.mk_array_sort(m_int, m_int), m); expr_ref F(m.mk_var(0, int2int), m); expr_ref L1(m.mk_var(1, m_int), m); expr_ref L(m.mk_var(2, m_int), m); expr_ref U(m.mk_var(3, m_int), m); expr_ref zero(m_arith.mk_int(0), m); expr_ref one(m_arith.mk_int(1), m); sort* domain[3] = { m_int.get(), m_int.get(), int2int.get() }; func_decl_ref sum(m.mk_func_decl(symbol("sum"), 3, domain, m_int), m); func_decl_ref f(m.mk_func_decl(symbol("f"), m_int, m_int), m); expr* args[3] = { L, U, F }; expr_ref pat(m); expr_ref u(m.mk_const(symbol("u"), m_int), m); symbol x("x"); sort* int_s = m_int.get(); expr_ref s(m.mk_app(sum.get(), one.get(), u.get(), m.mk_lambda(1, &int_s, &x, m.mk_app(f, m.mk_var(0, m_int)))), m); s = m_arith.mk_add(s, m.mk_app(f.get(), zero)); pat = m_arith.mk_add(m.mk_app(sum, 3, args), m_array.mk_select(F, L1)); IF_VERBOSE(0, verbose_stream() << "test5a: " << pat << " =?= " << s << "\n";); m_matcher.add_pattern(pat.get()); m_matcher(pat, s, 4); pat = m_arith.mk_add(m_array.mk_select(F, L1), m.mk_app(sum, 3, args)); IF_VERBOSE(0, verbose_stream() << "test5b: " << pat << " =?= " << s << "\n";); m_matcher.add_pattern(pat.get()); m_matcher(pat, s, 4); } // test patterns // H (2, 0) = f(2) // G (1) (2, 0) = f(1, 2) // G (1) (2, 1) = f(1, 2) // not unitary // H (0, 1) = f(2) // fail void test6() { sort_ref intint2int(m_array.mk_array_sort(m_int, m_int, m_int), m); func_decl_ref f1(m.mk_func_decl(symbol("f"), m_int, m_int), m); func_decl_ref f2(m.mk_func_decl(symbol("f"), m_int, m_int, m_int), m); expr_ref v0(m.mk_var(0, m_int), m); expr_ref v1(m.mk_var(1, m_int), m); expr_ref v2(m.mk_var(2, m_int), m); expr_ref H(m.mk_var(3, intint2int), m); expr* args[3] = { H.get(), v2, v0 }; expr_ref pat(m_array.mk_select(3, args), m); expr_ref t(m.mk_app(f1.get(), v2), m); IF_VERBOSE(0, verbose_stream() << "test6a: " << pat << " =?= " << t << "\n";); m_matcher.add_pattern(pat.get()); m_matcher(pat, t, 3, 1); expr* args2[3] = { H.get(), v1, v0 }; pat = m_array.mk_select(3, args2); t = m.mk_app(f2.get(), v0, v1); IF_VERBOSE(0, verbose_stream() << "test6b: " << pat << " =?= " << t << "\n";); m_matcher.add_pattern(pat.get()); m_matcher(pat, t, 3, 1); sort_ref int2intt(m_array.mk_array_sort(m_int, intint2int), m); expr_ref(m.mk_var(3, int2intt), m); expr_ref G(m.mk_var(3, int2intt), m); pat = m_array.mk_select(G.get(), v1); pat = m_array.mk_select(pat.get(), v2, v0); t = m.mk_app(f2.get(), v1, v2); IF_VERBOSE(0, verbose_stream() << "test6c: " << pat << " =?= " << t << "\n";); m_matcher.add_pattern(pat.get()); m_matcher(pat, t, 3, 1); pat = m_array.mk_select(G, v1); pat = m_array.mk_select(pat, v2, v1); IF_VERBOSE(0, verbose_stream() << "test6d: " << pat << " =?= " << t << "\n";); m_matcher.add_pattern(pat.get()); m_matcher(pat, t, 3, 1); pat = m_array.mk_select(H, v0, v2); IF_VERBOSE(0, verbose_stream() << "test6e: " << pat << " =?= " << t << "\n";); m_matcher.add_pattern(pat.get()); m_matcher(pat, t, 3, 1); } }; } void tst_ho_matcher() { euf::test_ho_matcher tm; try { tm.test1(); tm.test2(); tm.test3(); tm.test4(); tm.test5(); tm.test6(); } catch (std::exception const& ex) { std::cout << ex.what() << "\n"; } }