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https://github.com/Z3Prover/z3
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Z3str3: add str.to_code and str.from_code (#5015)
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ca9fcbd1df
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3 changed files with 197 additions and 5 deletions
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@ -1152,6 +1152,30 @@ namespace smt {
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TRACE("str_fl", tout << "integer theory has no assignment for " << mk_pp(e, get_manager()) << std::endl;);
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// consistency needs to be checked after the string is assigned
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}
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} else if (u.str.is_to_code(e, _arg)) {
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expr_ref arg(_arg, m);
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rational ival;
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if (v.get_value(e, ival)) {
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TRACE("str_fl", tout << "integer theory assigns " << ival << " to " << mk_pp(e, m) << std::endl;);
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if (ival >= rational::zero() && ival <= rational(u.max_char())) {
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zstring ival_str(ival.get_unsigned());
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expr_ref arg_char_expr(mk_string(ival_str), m);
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expr_ref stoi_cex(m);
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// Add (e == ival) as a precondition
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precondition.push_back(m.mk_eq(e, mk_int(ival)));
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if (!fixed_length_reduce_eq(subsolver, arg, arg_char_expr, stoi_cex)) {
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// Counterexample: (str.to_code arg) == ival AND arg == arg_char_expr cannot both be true.
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stoi_cex = expr_ref(m.mk_not(m.mk_and(m.mk_eq(e, mk_int(ival)), m.mk_eq(arg, arg_char_expr))), m);
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assert_axiom(stoi_cex);
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add_persisted_axiom(stoi_cex);
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return l_undef;
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}
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fixed_length_reduced_boolean_formulas.push_back(m.mk_eq(e, mk_int(ival)));
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}
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} else {
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TRACE("str_fl", tout << "integer theory has no assignment for " << mk_pp(e, m) << std::endl;);
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// consistency needs to be checked after the string is assigned
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}
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} else if (u.str.is_itos(e, _arg)) {
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expr_ref arg(_arg, m);
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rational slen;
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@ -1194,6 +1218,31 @@ namespace smt {
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TRACE("str_fl", tout << "integer theory has no assignment for " << mk_pp(arg, get_manager()) << std::endl;);
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// consistency needs to be checked after the string is assigned
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}
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} else if (u.str.is_from_code(e, _arg)) {
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expr_ref arg(_arg, m);
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rational ival;
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if (v.get_value(arg, ival)) {
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TRACE("str_fl", tout << "integer theory assigns " << ival << " to " << mk_pp(arg, m) << std::endl;);
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if (ival >= rational::zero() && ival <= rational(u.max_char())) {
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zstring ival_str(ival.get_unsigned());
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expr_ref arg_char_expr(mk_string(ival_str), m);
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expr_ref itos_cex(m);
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// Add (arg == ival) as a precondition
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precondition.push_back(m.mk_eq(arg, mk_int(ival)));
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expr_ref _e(e, m);
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if (!fixed_length_reduce_eq(subsolver, _e, arg_char_expr, itos_cex)) {
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// Counterexample: (str.from_code arg) == arg_char AND arg == ival cannot both be true.
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itos_cex = expr_ref(m.mk_not(m.mk_and(m.mk_eq(arg, mk_int(ival)), m.mk_eq(e, arg_char_expr))), m);
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assert_axiom(itos_cex);
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add_persisted_axiom(itos_cex);
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return l_undef;
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}
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fixed_length_reduced_boolean_formulas.push_back(m.mk_eq(e, mk_int(ival)));
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}
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} else {
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TRACE("str_fl", tout << "integer theory has no assignment for " << mk_pp(arg, m) << std::endl;);
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// consistency needs to be checked after the string is assigned
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}
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}
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}
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}
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@ -1312,6 +1361,36 @@ namespace smt {
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}
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}
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}
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} else if (u.str.is_to_code(e, _arg)) {
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expr_ref arg(_arg, m);
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rational ival;
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if (v.get_value(e, ival)) {
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expr_ref arg_subst(arg, m);
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(*replacer)(arg, arg_subst);
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rw(arg_subst);
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TRACE("str_fl", tout << "ival = " << ival << ", string arg evaluates to " << mk_pp(arg_subst, m) << std::endl;);
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symbol arg_str;
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if (u.str.is_string(arg_subst, arg_str)) {
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zstring arg_zstr(arg_str.bare_str());
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if (ival >= rational::zero() && ival <= rational(u.max_char())) {
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// check that arg_subst has length 1 and that the codepoints are the same
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if (arg_zstr.length() != 1 || rational(arg_zstr[0]) != ival) {
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// contradiction
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expr_ref cex(m.mk_not(m.mk_and(ctx.mk_eq_atom(arg, mk_string(arg_zstr)), ctx.mk_eq_atom(e, mk_int(ival)))), m);
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assert_axiom(cex);
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return l_undef;
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}
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} else {
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// arg_subst must not be a singleton char
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if (arg_zstr.length() == 1) {
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// contradiction
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expr_ref cex(m.mk_not(m.mk_and(ctx.mk_eq_atom(arg, mk_string(arg_zstr)), ctx.mk_eq_atom(e, mk_int(ival)))), m);
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assert_axiom(cex);
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return l_undef;
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}
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}
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}
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}
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} else if (u.str.is_itos(e, _arg)) {
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expr_ref arg(_arg, m);
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rational ival;
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@ -1353,6 +1432,41 @@ namespace smt {
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}
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}
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}
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} else if (u.str.is_from_code(e, _arg)) {
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expr_ref arg(_arg, m);
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rational ival;
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if (v.get_value(arg, ival)) {
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expr_ref e_subst(e, m);
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(*replacer)(e, e_subst);
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rw(e_subst);
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TRACE("str_fl", tout << "ival = " << ival << ", string arg evaluates to " << mk_pp(e_subst, m) << std::endl;);
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symbol e_str;
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if (u.str.is_string(e_subst, e_str)) {
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zstring e_zstr(e_str.bare_str());
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// if arg is out of range, e must be empty
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// if arg is in range, e must be valid
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if (ival <= rational::zero() || ival >= rational(u.max_char())) {
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if (!e_zstr.empty()) {
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// contradiction
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expr_ref cex(ctx.mk_eq_atom(
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m.mk_or(m_autil.mk_le(arg, mk_int(0)), m_autil.mk_ge(arg, mk_int(u.max_char() + 1))),
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ctx.mk_eq_atom(e, mk_string(""))
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), m);
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assert_axiom(cex);
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return l_undef;
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}
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} else {
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if (e_zstr.length() != 1 || e_zstr[0] != ival.get_unsigned()) {
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// contradiction
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expr_ref premise(ctx.mk_eq_atom(arg, mk_int(ival)), m);
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expr_ref conclusion(ctx.mk_eq_atom(e, mk_string(zstring(ival.get_unsigned()))), m);
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expr_ref cex(rewrite_implication(premise, conclusion), m);
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assert_axiom(cex);
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return l_undef;
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}
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}
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}
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}
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}
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}
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}
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