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https://github.com/Z3Prover/z3
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Convert bv1-blast tactic to a simplifier
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
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292
src/ast/simplifiers/bv1_blaster.cpp
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292
src/ast/simplifiers/bv1_blaster.cpp
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/*++
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Copyright (c) 2011 Microsoft Corporation
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Module Name:
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bv1_blaster.cpp
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Abstract:
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Simplifier for "blasting" bit-vectors of size n into bit-vectors of size 1.
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This simplifier only supports concat and extract operators.
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This transformation is useful for handling benchmarks that contain
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many BV equalities.
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Remark: other operators can be mapped into concat/extract by using
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the simplifiers.
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Author:
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Leonardo (leonardo) 2011-10-25
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--*/
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#include "ast/simplifiers/bv1_blaster.h"
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#include "ast/ast_util.h"
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#include "ast/rewriter/bv_rewriter.h"
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#include "ast/rewriter/rewriter_types.h"
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#include "util/common_msgs.h"
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bv1_blaster_simplifier::rw_cfg::rw_cfg(ast_manager& m, params_ref const& p) :
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m_manager(m),
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m_util(m),
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m_saved(m),
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m_bit1(m),
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m_bit0(m) {
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m_bit1 = butil().mk_numeral(rational(1), 1);
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m_bit0 = butil().mk_numeral(rational(0), 1);
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updt_params(p);
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}
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void bv1_blaster_simplifier::rw_cfg::updt_params(params_ref const& p) {
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m_max_memory = megabytes_to_bytes(p.get_uint("max_memory", UINT_MAX));
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m_max_steps = p.get_uint("max_steps", UINT_MAX);
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}
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bool bv1_blaster_simplifier::rw_cfg::max_steps_exceeded(unsigned num_steps) const {
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if (memory::get_allocation_size() > m_max_memory)
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throw rewriter_exception(Z3_MAX_MEMORY_MSG);
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return num_steps > m_max_steps;
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}
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void bv1_blaster_simplifier::rw_cfg::get_bits(expr* arg, bit_buffer& bits) {
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SASSERT(butil().is_concat(arg) || butil().get_bv_size(arg) == 1);
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if (butil().is_concat(arg))
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bits.append(to_app(arg)->get_num_args(), to_app(arg)->get_args());
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else
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bits.push_back(arg);
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}
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void bv1_blaster_simplifier::rw_cfg::mk_const(func_decl* f, expr_ref& result) {
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SASSERT(f->get_family_id() == null_family_id);
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SASSERT(f->get_arity() == 0);
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expr* r;
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if (m_const2bits.find(f, r)) {
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result = r;
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return;
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}
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sort* s = f->get_range();
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SASSERT(butil().is_bv_sort(s));
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unsigned bv_size = butil().get_bv_size(s);
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if (bv_size == 1) {
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result = m().mk_const(f);
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return;
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}
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sort* b = butil().mk_sort(1);
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ptr_buffer<expr> bits;
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for (unsigned i = 0; i < bv_size; ++i) {
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bits.push_back(m().mk_fresh_const(nullptr, b));
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m_newbits.push_back(to_app(bits.back())->get_decl());
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m_saved.push_back(m_newbits.back());
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}
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r = butil().mk_concat(bits.size(), bits.data());
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m_saved.push_back(r);
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m_saved.push_back(f);
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m_const2bits.insert(f, r);
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result = r;
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}
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void bv1_blaster_simplifier::rw_cfg::blast_bv_term(expr* t, expr_ref& result) {
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bit_buffer bits;
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unsigned bv_size = butil().get_bv_size(t);
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if (bv_size == 1) {
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result = t;
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return;
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}
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unsigned i = bv_size;
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while (i > 0) {
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--i;
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bits.push_back(butil().mk_extract(i, i, t));
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}
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result = butil().mk_concat(bits.size(), bits.data());
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}
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void bv1_blaster_simplifier::rw_cfg::reduce_eq(expr* arg1, expr* arg2, expr_ref& result) {
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bit_buffer bits1;
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bit_buffer bits2;
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get_bits(arg1, bits1);
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get_bits(arg2, bits2);
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SASSERT(bits1.size() == bits2.size());
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bit_buffer new_eqs;
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unsigned i = bits1.size();
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while (i > 0) {
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--i;
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new_eqs.push_back(m().mk_eq(bits1[i], bits2[i]));
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}
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result = mk_and(m(), new_eqs.size(), new_eqs.data());
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}
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void bv1_blaster_simplifier::rw_cfg::reduce_ite(expr* c, expr* t, expr* e, expr_ref& result) {
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bit_buffer t_bits;
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bit_buffer e_bits;
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get_bits(t, t_bits);
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get_bits(e, e_bits);
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SASSERT(t_bits.size() == e_bits.size());
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bit_buffer new_ites;
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unsigned num = t_bits.size();
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for (unsigned i = 0; i < num; ++i)
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new_ites.push_back(t_bits[i] == e_bits[i] ? t_bits[i] : m().mk_ite(c, t_bits[i], e_bits[i]));
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result = butil().mk_concat(new_ites.size(), new_ites.data());
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}
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void bv1_blaster_simplifier::rw_cfg::reduce_num(func_decl* f, expr_ref& result) {
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SASSERT(f->get_num_parameters() == 2);
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SASSERT(f->get_parameter(0).is_rational());
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SASSERT(f->get_parameter(1).is_int());
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bit_buffer bits;
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rational v = f->get_parameter(0).get_rational();
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rational two(2);
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unsigned sz = f->get_parameter(1).get_int();
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for (unsigned i = 0; i < sz; ++i) {
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if ((v % two).is_zero())
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bits.push_back(m_bit0);
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else
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bits.push_back(m_bit1);
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v = div(v, two);
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}
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std::reverse(bits.begin(), bits.end());
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result = butil().mk_concat(bits.size(), bits.data());
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}
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void bv1_blaster_simplifier::rw_cfg::reduce_extract(func_decl* f, expr* arg, expr_ref& result) {
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bit_buffer arg_bits;
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get_bits(arg, arg_bits);
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SASSERT(arg_bits.size() == butil().get_bv_size(arg));
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unsigned high = butil().get_extract_high(f);
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unsigned low = butil().get_extract_low(f);
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unsigned sz = arg_bits.size();
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unsigned start = sz - 1 - high;
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unsigned end = sz - 1 - low;
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bit_buffer bits;
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for (unsigned i = start; i <= end; ++i)
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bits.push_back(arg_bits[i]);
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result = butil().mk_concat(bits.size(), bits.data());
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}
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void bv1_blaster_simplifier::rw_cfg::reduce_concat(unsigned num, expr* const* args, expr_ref& result) {
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bit_buffer bits;
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bit_buffer arg_bits;
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for (unsigned i = 0; i < num; ++i) {
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expr* arg = args[i];
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arg_bits.reset();
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get_bits(arg, arg_bits);
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bits.append(arg_bits.size(), arg_bits.data());
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}
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result = butil().mk_concat(bits.size(), bits.data());
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}
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void bv1_blaster_simplifier::rw_cfg::reduce_bin_xor(expr* arg1, expr* arg2, expr_ref& result) {
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bit_buffer bits1;
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bit_buffer bits2;
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get_bits(arg1, bits1);
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get_bits(arg2, bits2);
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SASSERT(bits1.size() == bits2.size());
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bit_buffer new_bits;
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unsigned num = bits1.size();
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for (unsigned i = 0; i < num; ++i)
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new_bits.push_back(m().mk_ite(m().mk_eq(bits1[i], bits2[i]), m_bit0, m_bit1));
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result = butil().mk_concat(new_bits.size(), new_bits.data());
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}
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void bv1_blaster_simplifier::rw_cfg::reduce_xor(unsigned num_args, expr* const* args, expr_ref& result) {
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SASSERT(num_args > 0);
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if (num_args == 1) {
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result = args[0];
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return;
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}
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reduce_bin_xor(args[0], args[1], result);
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for (unsigned i = 2; i < num_args; ++i)
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reduce_bin_xor(result, args[i], result);
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}
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br_status bv1_blaster_simplifier::rw_cfg::reduce_app(func_decl* f, unsigned num, expr* const* args,
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expr_ref& result, proof_ref& result_pr) {
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result_pr = nullptr;
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if (num == 0 && f->get_family_id() == null_family_id && butil().is_bv_sort(f->get_range())) {
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mk_const(f, result);
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return BR_DONE;
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}
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if (m().is_eq(f)) {
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SASSERT(num == 2);
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if (butil().is_bv(args[0])) {
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reduce_eq(args[0], args[1], result);
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return BR_DONE;
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}
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return BR_FAILED;
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}
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if (m().is_ite(f)) {
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SASSERT(num == 3);
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if (butil().is_bv(args[1])) {
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reduce_ite(args[0], args[1], args[2], result);
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return BR_DONE;
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}
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return BR_FAILED;
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}
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if (f->get_family_id() == butil().get_family_id()) {
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switch (f->get_decl_kind()) {
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case OP_BV_NUM:
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reduce_num(f, result);
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return BR_DONE;
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case OP_EXTRACT:
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SASSERT(num == 1);
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reduce_extract(f, args[0], result);
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return BR_DONE;
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case OP_CONCAT:
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reduce_concat(num, args, result);
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return BR_DONE;
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case OP_BXOR:
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reduce_xor(num, args, result);
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return BR_DONE;
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default:
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return BR_FAILED;
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}
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}
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if (butil().is_bv_sort(f->get_range())) {
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blast_bv_term(m().mk_app(f, num, args), result);
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return BR_DONE;
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}
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return BR_FAILED;
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}
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void bv1_blaster_simplifier::collect_param_descrs(param_descrs& r) {
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insert_max_memory(r);
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insert_max_steps(r);
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}
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void bv1_blaster_simplifier::reduce() {
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auto& cfg = m_rw.cfg();
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unsigned prev_bits = cfg.m_newbits.size();
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expr_ref new_curr(m);
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proof_ref new_pr(m);
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for (unsigned idx : indices()) {
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auto const& d = m_fmls[idx];
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m_rw(d.fml(), new_curr, new_pr);
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if (d.fml() != new_curr)
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m_fmls.update(idx, dependent_expr(m, new_curr, mp(d.pr(), new_pr), d.dep()));
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}
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if (prev_bits == cfg.m_newbits.size())
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return;
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// Hide newly introduced bit variables in the model
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for (unsigned i = prev_bits; i < cfg.m_newbits.size(); ++i)
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m_fmls.model_trail().hide(cfg.m_newbits[i]);
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// Push definitions for constants whose bits were just introduced
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obj_hashtable<func_decl> new_bit_set;
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for (unsigned i = prev_bits; i < cfg.m_newbits.size(); ++i)
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new_bit_set.insert(cfg.m_newbits[i]);
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for (auto const& [f, v] : cfg.m_const2bits) {
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SASSERT(cfg.butil().is_concat(v));
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func_decl* first = to_app(to_app(v)->get_arg(0))->get_decl();
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if (new_bit_set.contains(first))
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m_fmls.model_trail().push(f, v, nullptr, {});
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}
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}
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