3
0
Fork 0
mirror of https://github.com/Z3Prover/z3 synced 2025-04-29 20:05:51 +00:00

str.from_ubv step2

This commit is contained in:
Nikolaj Bjorner 2021-07-12 15:00:36 +02:00
parent 1bc10cebc5
commit b6a3891ac4
10 changed files with 230 additions and 2 deletions

View file

@ -16,6 +16,7 @@ Author:
--*/
#include "ast/rewriter/seq_eq_solver.h"
#include "ast/bv_decl_plugin.h"
namespace seq {
@ -37,6 +38,10 @@ namespace seq {
return true;
if (reduce_itos3(e, r))
return true;
if (reduce_ubv2s1(e, r))
return true;
if (reduce_ubv2s2(e, r))
return true;
if (reduce_binary_eq(e, r))
return true;
if (reduce_nth_solved(e, r))
@ -184,8 +189,8 @@ namespace seq {
expr_ref digit = m_ax.sk().mk_digit2int(u);
add_consequence(m_ax.mk_ge(digit, 1));
}
expr_ref y(seq.str.mk_concat(e.rs, e.ls[0]->get_sort()), m);
ctx.add_solution(e.ls[0], y);
expr_ref y(seq.str.mk_concat(es, es[0]->get_sort()), m);
ctx.add_solution(seq.str.mk_itos(n), y);
return true;
}
@ -209,6 +214,105 @@ namespace seq {
}
/**
* from_ubv(s) == from_ubv(t)
* --------------------------
* s = t
*/
bool eq_solver::match_ubv2s1(eqr const& e, expr*& a, expr*& b) {
return
e.ls.size() == 1 && e.rs.size() == 1 &&
seq.str.is_ubv2s(e.ls[0], a) && seq.str.is_ubv2s(e.rs[0], b);
return false;
}
bool eq_solver::reduce_ubv2s1(eqr const& e, eq_ptr& r) {
expr* s = nullptr, * t = nullptr;
if (!match_ubv2s1(e, s, t))
return false;
expr_ref eq = mk_eq(s, t);
add_consequence(eq);
return true;
}
/**
*
* bv2s(n) = [d1]+[d2]+...+[dk]
* ---------------------------------
* n = 10^{k-1}*d1 + ... + dk
*
* k > 1 => d1 > 0
*/
bool eq_solver::match_ubv2s2(eqr const& e, expr*& n, expr_ref_vector const*& es) {
if (e.ls.size() == 1 && seq.str.is_ubv2s(e.ls[0], n)) {
es = &e.rs;
return true;
}
if (e.rs.size() == 1 && seq.str.is_ubv2s(e.rs[0], n)) {
es = &e.ls;
return true;
}
return false;
}
bool eq_solver::reduce_ubv2s2(eqr const& e, eq_ptr& r) {
expr* n = nullptr;
expr_ref_vector const* _es = nullptr;
if (!match_ubv2s2(e, n, _es))
return false;
expr_ref_vector const& es = *_es;
if (es.empty()) {
set_conflict();
return true;
}
expr* u = nullptr;
for (expr* r : es) {
if (seq.str.is_unit(r, u)) {
expr_ref is_digit = m_ax.is_digit(u);
if (!m.is_true(ctx.expr2rep(is_digit)))
add_consequence(is_digit);
}
}
if (!all_units(es, 0, es.size()))
return false;
expr_ref num(m);
bv_util bv(m);
sort* bv_sort = n->get_sort();
unsigned sz = bv.get_bv_size(n);
if (es.size() > (sz + log2(10)-1)/log2(10)) {
set_conflict();
return true;
}
for (expr* r : es) {
VERIFY(seq.str.is_unit(r, u));
expr_ref digit = m_ax.sk().mk_digit2bv(u, bv_sort);
if (!num)
num = digit;
else
num = bv.mk_bv_add(bv.mk_bv_mul(bv.mk_numeral(10, sz), num), digit);
}
expr_ref eq(m.mk_eq(n, num), m);
m_ax.rewrite(eq);
add_consequence(eq);
if (es.size() > 1) {
VERIFY(seq.str.is_unit(es[0], u));
expr_ref digit = m_ax.sk().mk_digit2bv(u, bv_sort);
expr_ref eq0(m.mk_eq(digit, bv.mk_numeral(0, sz)), m);
expr_ref neq0(m.mk_not(eq0), m);
add_consequence(neq0);
}
expr_ref y(seq.str.mk_concat(es, es[0]->get_sort()), m);
ctx.add_solution(seq.str.mk_ubv2s(n), y);
return true;
}
/**
* Equation is of the form x ++ xs = ys ++ x
* where |xs| = |ys| are units of same length