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https://github.com/Z3Prover/z3
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port logarithmic encoding to shr, add review comment on rotate
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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8929c578c1
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2c70e8d79f
1 changed files with 30 additions and 21 deletions
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@ -914,6 +914,7 @@ void bit_blaster_tpl<Cfg>::mk_shl(unsigned sz, expr * const * a_bits, expr * con
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out_bits.append(sz, a_bits);
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for (unsigned i = 0; i < sz; ++i) {
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checkpoint();
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expr_ref_vector new_out_bits(m());
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unsigned shift_i = 1 << i;
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for (unsigned j = 0; j < sz; ++j) {
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@ -942,19 +943,21 @@ void bit_blaster_tpl<Cfg>::mk_lshr(unsigned sz, expr * const * a_bits, expr * co
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out_bits.push_back(m().mk_false());
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}
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else {
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expr_ref_vector eqs(m());
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mk_eqs(sz, b_bits, eqs);
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out_bits.resize(sz);
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for (unsigned i = 0; i < sz; i++) {
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out_bits.append(sz, a_bits);
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for (unsigned i = 0; i < sz; ++i) {
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checkpoint();
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expr_ref out(m());
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mk_ite(eqs.get(i), a_bits[sz-1], m().mk_false(), out);
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for (unsigned j = 1; j <= i; j++) {
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expr_ref_vector new_out_bits(m());
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unsigned shift_i = 1 << i;
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for (unsigned j = 0; j < sz; ++j) {
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expr_ref new_out(m());
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mk_ite(eqs.get(i - j), a_bits[sz - j - 1], out, new_out);
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out = new_out;
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expr* a_j = m().mk_false();
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if (shift_i + j < sz) a_j = a_bits[j+shift_i];
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mk_ite(b_bits[i], a_j, out_bits[j].get(), new_out);
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new_out_bits.push_back(new_out);
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}
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out_bits.set(sz - i - 1, out);
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out_bits.reset();
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out_bits.append(new_out_bits);
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if (shift_i >= sz) break;
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}
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}
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}
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@ -971,20 +974,21 @@ void bit_blaster_tpl<Cfg>::mk_ashr(unsigned sz, expr * const * a_bits, expr * co
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out_bits.push_back(a_bits[sz-1]);
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}
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else {
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expr_ref_vector eqs(m());
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mk_eqs(sz, b_bits, eqs);
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out_bits.resize(sz);
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for (unsigned i = 0; i < sz; i++) {
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out_bits.append(sz, a_bits);
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for (unsigned i = 0; i < sz; ++i) {
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checkpoint();
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expr_ref out(m());
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out = a_bits[sz-1];
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for (unsigned j = 1; j <= i; j++) {
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expr_ref_vector new_out_bits(m());
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unsigned shift_i = 1 << i;
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for (unsigned j = 0; j < sz; ++j) {
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expr_ref new_out(m());
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mk_ite(eqs.get(i - j), a_bits[sz - j - 1], out, new_out);
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out = new_out;
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expr* a_j = a_bits[sz-1];
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if (shift_i + j < sz) a_j = a_bits[j+shift_i];
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mk_ite(b_bits[i], a_j, out_bits[j].get(), new_out);
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new_out_bits.push_back(new_out);
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}
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TRACE("bit_blaster", tout << (sz - i - 1) << " :\n" << mk_pp(out, m()) << "\n";);
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out_bits.set(sz - i - 1, out);
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out_bits.reset();
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out_bits.append(new_out_bits);
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if (shift_i >= sz) break;
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}
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}
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}
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@ -1000,6 +1004,11 @@ void bit_blaster_tpl<Cfg>::mk_ext_rotate_left_right(unsigned sz, expr * const *
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mk_rotate_right(sz, a_bits, static_cast<unsigned>(k.get_uint64()), out_bits);
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}
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else {
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//
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// Review: a better tuned implementation is possible by using shifts by power of two.
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// e.g., looping over the bits of b_bits, then rotate by a power of two depending
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// on the bit-position. This would get rid of the mk_urem.
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//
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expr_ref_vector sz_bits(m());
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expr_ref_vector masked_b_bits(m());
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expr_ref_vector eqs(m());
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