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https://github.com/Z3Prover/z3
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porting bv-sls
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parent
e7104ebb93
commit
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18 changed files with 264 additions and 811 deletions
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@ -20,57 +20,50 @@ Author:
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#include "ast/ast_ll_pp.h"
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#include "ast/sls/bv_sls.h"
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#include "ast/rewriter/th_rewriter.h"
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#include "ast/rewriter/bool_rewriter.h"
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#include "ast/rewriter/bv_rewriter.h"
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namespace bv {
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sls_terms::sls_terms(ast_manager& m):
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m(m),
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sls_terms::sls_terms(sls::context& ctx):
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ctx(ctx),
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m(ctx.get_manager()),
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bv(m),
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m_rewriter(m),
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m_assertions(m),
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m_pinned(m),
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m_translated(m),
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m_terms(m){}
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m_translated(m) {}
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void sls_terms::init() {
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for (auto t : ctx.subterms())
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ensure_binary(t);
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void sls_terms::assert_expr(expr* e) {
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m_assertions.push_back(ensure_binary(e));
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}
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expr* sls_terms::ensure_binary(expr* e) {
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expr* top = e;
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m_pinned.push_back(e);
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m_todo.push_back(e);
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{
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expr_fast_mark1 mark;
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for (unsigned i = 0; i < m_todo.size(); ++i) {
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expr* e = m_todo[i];
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if (!is_app(e))
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m_subterms.reset();
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expr_fast_mark1 visited;
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for (auto t : ctx.subterms())
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m_subterms.push_back(translated(t));
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for (auto t : m_subterms)
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visited.mark(t, true);
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for (unsigned i = 0; i < m_subterms.size(); ++i) {
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auto t = m_subterms[i];
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if (!is_app(t))
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continue;
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app* a = to_app(t);
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for (expr* arg : *a) {
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if (visited.is_marked(arg))
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continue;
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if (m_translated.get(e->get_id(), nullptr))
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continue;
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if (mark.is_marked(e))
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continue;
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mark.mark(e);
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for (auto arg : *to_app(e))
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m_todo.push_back(arg);
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visited.mark(arg, true);
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m_subterms.push_back(arg);
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}
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}
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std::stable_sort(m_todo.begin(), m_todo.end(), [&](expr* a, expr* b) { return get_depth(a) < get_depth(b); });
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for (expr* e : m_todo)
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ensure_binary_core(e);
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m_todo.reset();
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return m_translated.get(top->get_id());
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std::stable_sort(m_subterms.begin(), m_subterms.end(),
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[](expr* a, expr* b) { return a->get_id() < b->get_id(); });
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}
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void sls_terms::ensure_binary_core(expr* e) {
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void sls_terms::ensure_binary(expr* e) {
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if (m_translated.get(e->get_id(), nullptr))
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return;
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app* a = to_app(e);
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auto arg = [&](unsigned i) {
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return m_translated.get(a->get_arg(i)->get_id());
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return a->get_arg(i);
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};
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unsigned num_args = a->get_num_args();
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expr_ref r(m);
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@ -79,16 +72,7 @@ namespace bv {
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for (unsigned i = 1; i < num_args; ++i)\
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r = oper(r, arg(i)); \
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if (m.is_and(e)) {
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FOLD_OP(m.mk_and);
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}
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else if (m.is_or(e)) {
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FOLD_OP(m.mk_or);
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}
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else if (m.is_xor(e)) {
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FOLD_OP(m.mk_xor);
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}
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else if (bv.is_bv_and(e)) {
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if (bv.is_bv_and(e)) {
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FOLD_OP(bv.mk_bv_and);
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}
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else if (bv.is_bv_or(e)) {
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@ -106,13 +90,6 @@ namespace bv {
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else if (bv.is_concat(e)) {
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FOLD_OP(bv.mk_concat);
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}
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else if (m.is_distinct(e)) {
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expr_ref_vector es(m);
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for (unsigned i = 0; i < num_args; ++i)
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for (unsigned j = i + 1; j < num_args; ++j)
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es.push_back(m.mk_not(m.mk_eq(arg(i), arg(j))));
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r = m.mk_and(es);
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}
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else if (bv.is_bv_sdiv(e) || bv.is_bv_sdiv0(e) || bv.is_bv_sdivi(e)) {
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r = mk_sdiv(arg(0), arg(1));
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}
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@ -122,12 +99,8 @@ namespace bv {
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else if (bv.is_bv_srem(e) || bv.is_bv_srem0(e) || bv.is_bv_sremi(e)) {
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r = mk_srem(arg(0), arg(1));
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}
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else {
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for (unsigned i = 0; i < num_args; ++i)
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m_args.push_back(arg(i));
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r = m.mk_app(a->get_decl(), num_args, m_args.data());
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m_args.reset();
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}
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else
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r = e;
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m_translated.setx(e->get_id(), r);
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}
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@ -140,19 +113,20 @@ namespace bv {
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// x < 0, y > 0 -> -d
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// x > 0, y > 0 -> d
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// x < 0, y < 0 -> d
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bool_rewriter br(m);
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bv_rewriter bvr(m);
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unsigned sz = bv.get_bv_size(x);
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rational N = rational::power_of_two(sz);
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expr_ref z(bv.mk_zero(sz), m);
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expr* signx = bv.mk_ule(bv.mk_numeral(N / 2, sz), x);
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expr* signy = bv.mk_ule(bv.mk_numeral(N / 2, sz), y);
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expr* absx = m.mk_ite(signx, bv.mk_bv_neg(x), x);
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expr* absy = m.mk_ite(signy, bv.mk_bv_neg(y), y);
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expr* signx = bvr.mk_ule(bv.mk_numeral(N / 2, sz), x);
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expr* signy = bvr.mk_ule(bv.mk_numeral(N / 2, sz), y);
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expr* absx = br.mk_ite(signx, bvr.mk_bv_neg(x), x);
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expr* absy = br.mk_ite(signy, bvr.mk_bv_neg(y), y);
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expr* d = bv.mk_bv_udiv(absx, absy);
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expr_ref r(m.mk_ite(m.mk_eq(signx, signy), d, bv.mk_bv_neg(d)), m);
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r = m.mk_ite(m.mk_eq(z, y),
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m.mk_ite(signx, bv.mk_one(sz), bv.mk_numeral(N - 1, sz)),
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m.mk_ite(m.mk_eq(x, z), z, r));
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m_rewriter(r);
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expr_ref r(br.mk_ite(br.mk_eq(signx, signy), d, bvr.mk_bv_neg(d)), m);
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r = br.mk_ite(br.mk_eq(z, y),
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br.mk_ite(signx, bv.mk_one(sz), bv.mk_numeral(N - 1, sz)),
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br.mk_ite(br.mk_eq(x, z), z, r));
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return r;
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}
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@ -164,18 +138,19 @@ namespace bv {
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// x < 0, y >= 0 -> y - u
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// x >= 0, y < 0 -> y + u
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// x >= 0, y >= 0 -> u
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bool_rewriter br(m);
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bv_rewriter bvr(m);
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unsigned sz = bv.get_bv_size(x);
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expr_ref z(bv.mk_zero(sz), m);
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expr_ref abs_x(m.mk_ite(bv.mk_sle(z, x), x, bv.mk_bv_neg(x)), m);
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expr_ref abs_y(m.mk_ite(bv.mk_sle(z, y), y, bv.mk_bv_neg(y)), m);
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expr_ref u(bv.mk_bv_urem(abs_x, abs_y), m);
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expr_ref abs_x(br.mk_ite(bvr.mk_sle(z, x), x, bvr.mk_bv_neg(x)), m);
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expr_ref abs_y(br.mk_ite(bvr.mk_sle(z, y), y, bvr.mk_bv_neg(y)), m);
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expr_ref u(bvr.mk_bv_urem(abs_x, abs_y), m);
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expr_ref r(m);
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r = m.mk_ite(m.mk_eq(u, z), z,
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m.mk_ite(m.mk_eq(y, z), x,
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m.mk_ite(m.mk_and(bv.mk_sle(z, x), bv.mk_sle(z, x)), u,
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m.mk_ite(bv.mk_sle(z, x), bv.mk_bv_add(y, u),
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m.mk_ite(bv.mk_sle(z, y), bv.mk_bv_sub(y, u), bv.mk_bv_neg(u))))));
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m_rewriter(r);
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r = br.mk_ite(br.mk_eq(u, z), z,
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br.mk_ite(br.mk_eq(y, z), x,
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br.mk_ite(br.mk_and(bvr.mk_sle(z, x), bvr.mk_sle(z, x)), u,
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br.mk_ite(bvr.mk_sle(z, x), bvr.mk_bv_add(y, u),
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br.mk_ite(bv.mk_sle(z, y), bvr.mk_bv_sub(y, u), bvr.mk_bv_neg(u))))));
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return r;
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}
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// y = 0 -> x
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// else x - sdiv(x, y) * y
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expr_ref r(m);
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r = m.mk_ite(m.mk_eq(y, bv.mk_zero(bv.get_bv_size(x))),
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x, bv.mk_bv_sub(x, bv.mk_bv_mul(y, mk_sdiv(x, y))));
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m_rewriter(r);
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bool_rewriter br(m);
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bv_rewriter bvr(m);
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expr_ref z(bv.mk_zero(bv.get_bv_size(x)), m);
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r = br.mk_ite(br.mk_eq(y, z), x, bvr.mk_bv_sub(x, bvr.mk_bv_mul(y, mk_sdiv(x, y))));
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return r;
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}
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void sls_terms::init() {
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// populate terms
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expr_fast_mark1 mark;
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for (expr* e : m_assertions)
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m_todo.push_back(e);
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while (!m_todo.empty()) {
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expr* e = m_todo.back();
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m_todo.pop_back();
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if (mark.is_marked(e) || !is_app(e))
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continue;
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mark.mark(e);
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m_terms.setx(e->get_id(), to_app(e));
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for (expr* arg : *to_app(e))
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m_todo.push_back(arg);
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}
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// populate parents
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m_parents.reset();
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m_parents.reserve(m_terms.size());
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for (expr* e : m_terms) {
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if (!e || !is_app(e))
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continue;
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for (expr* arg : *to_app(e))
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m_parents[arg->get_id()].push_back(e);
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}
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m_assertion_set.reset();
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for (auto a : m_assertions)
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m_assertion_set.insert(a->get_id());
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}
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void sls_terms::updt_params(params_ref const& p) {
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params_ref q = p;
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q.set_bool("flat", false);
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m_rewriter.updt_params(q);
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}
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}
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