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#include "smt/value_generator.h"
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#include <math>
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class datatype_value_generator : public value_generator_core {
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ast_manager& m;
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value_generator& g;
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datatype_util dt;
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sort_ref_vector m_sorts;
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obj_map<sort, expr_ref_vector*> m_values;
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obj_map<func_decl, unsigned> m_constr2seen;
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/*
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\brief inverse of the Cantor function.
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It converts an unsigned into a pair of unsigned numbers that are not
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bigger (and only equal for values 0, 1).
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*/
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void inverse_cantor(unsigned z, unsigned& x, unsigned& y) {
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unsigned w = (sqrt(8*z + 1) - 1)/2;
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unsigned t = (w*w + 2)/2;
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y = z - t;
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x = w - y;
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}
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unsigned_vector inf;
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void index2vector(unsigned z, func_decl* c, unsigned_vector& v) {
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unsigned arity = c->get_arity();
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v.resize(arity);
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inf.reset();
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for (unsigned i = 0; i < arity; ++i) {
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sort* s = c->get_domain(i);
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sort_size const& sz = s->get_num_elements();
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if (sz.is_finite() && sz.size() < (UINT_MAX >> 12)) {
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v[i] = z % sz.size();
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z /= sz.size();
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}
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else {
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inf.push_back(i);
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}
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}
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// fill in values for large domains
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for (unsigned i = 0; i + 1 < inf.size(); ++i) {
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inverse_cantor(z, v[inf[i]], z);
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}
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if (!inf.empty()) {
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v[inf.back()] = z;
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}
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}
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public:
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datatype_value_generator(value_generator& g, ast_manager& m):
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m(m), g(g), dt(m), m_values(m) {}
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~datatype_value_generator() {
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for (auto& kv : m_values) dealloc(kv.m_value);
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}
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family_id get_fid() const override {
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return dt.get_family_id();
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}
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expr* get_value(sort* s, unsigned index) override {
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expr_ref_vector* vp = nullptr;
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if (!m_values.contains(s, vp)) {
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vp = allocate(expr_ref_vector, m);
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for (auto* c : *dt.get_datatype_constructors(s)) {
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if (c->get_arity() == 0)
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vp->push_back(m.mk_app(c));
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}
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m_values.insert(s, vp);
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}
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auto& v = *vp;
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expr_ref_vector args(m);
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bool some_valid = true;
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while (v.size() <= index && some_valid) {
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some_valid = false;
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for (auto* c : *dt.get_datatype_constructors(s)) {
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unsigned arity = c->get_arity();
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if (arity == 0)
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continue;
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args.resize(c->get_arity());
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unsigned j = 0;
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m_constr2seen.find(c, j);
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m_constr2seen.insert(c, j+1);
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if (beyond_domain_size(j, c))
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continue;
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index2vector(j, c, indices);
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bool valid = true;
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// still does not ensure non-termination when
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// 0 is used on a left-recursive datatype constructor
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for (unsigned i = 0; valid && i < args.size(); ++i) {
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args[i] = g.get_value(c->get_domain(i), indices[i]);
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valid &= args.get(i) != nullptr;
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}
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if (valid) {
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v.push_back(m.mk_app(c, args));
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some_valid = true;
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}
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}
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}
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return v.get(index, nullptr);
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}
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};
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class arith_value_generator : public value_generator_core {
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ast_manager& m;
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arith_util a;
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int u2i(unsigned u) {
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if (0 == (u % 2))
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return u/2;
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else
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return -((u+1)/2);
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}
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public:
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arith_value_generator(ast_manager& m): m(m), a(m) {}
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family_id get_fid() const override {
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return a.get_family_id();
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}
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expr* get_value(sort* s, unsigned index) override {
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if (a.is_int(s)) {
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return a.mk_int(u2i(index));
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}
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if (index == 0)
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return a.mk_real(rational(0));
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unsigned x, y;
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// still imperfect as y could divide x
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inverse_cantor(index/2, x, y);
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x++;
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y++;
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if (index % 2 == 0) x = -x;
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return a.mk_real(rational(x, y));
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}
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};
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class bv_value_generator : public value_generator_core {
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ast_manager& m;
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bv_util bv;
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public:
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bv_value_generator(ast_manager& m): m(m), bv(m) {}
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family_id get_fid() const override {
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return bv.get_family_id();
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}
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expr* get_value(sort* s, unsigned index) override {
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unsigned sz = 0;
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bv.get_bv_size(s, sz);
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if (sz < 30 && index >= (1 << sz))
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return nullptr;
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return bv.mk_numeral(index, s);
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}
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};
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class bool_value_generator : public value_generator_core {
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ast_manager& m;
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public:
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bool_value_generator(ast_manager& m): m(m) {}
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family_id get_fid() const override {
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return m.get_family_id();
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}
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expr* get_value(sort* s, unsigned index) override {
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if (!m.is_bool(s))
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return nullptr;
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if (index == 0)
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return m.mk_false();
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if (index == 1)
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return m.mk_true();
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return nullptr;
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}
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};
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value_generator::value_generator(ast_manager& m): m(m) {
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}
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void value_generator::init() {
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if (!m_plugins.empty())
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return;
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add_plugin(alloc(datatype_value_generator, *this, m));
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add_plugin(alloc(arith_value_generator, m));
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add_plugin(alloc(bv_value_generator, m));
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add_plugin(alloc(bool_value_generator, m));
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// seq_value_generator
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// fp_value_generator
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// array_value_generator
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// uninterp_sort_value_generator
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}
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void value_generator::add_plugin(value_generator_core* v) {
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m_plugins.reserve(v->get_fid() + 1);
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m_plugins.set(v->get_fid(), v);
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}
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expr* value_generator::get_value(sort* s, unsigned index) {
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init();
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famiily_id fid = s->get_family_id();
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auto* p = m_plugins.get(fid, nullptr);
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return p ? p->get_value(s, index) : nullptr;
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}
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@ -1,17 +0,0 @@
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#pragma once
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namespace smt {
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class value_generator_core {
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public:
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virtual expr* get_value(sort* s, unsigned index) = 0;
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};
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class value_generator {
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scoped_ptr_vector<value_generator_core> m_plugins;
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public:
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value_generator(ast_manager& m);
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expr* get_value(sort* s, unsigned index);
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};
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}
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