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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
This commit is contained in:
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377 changed files with 204 additions and 62 deletions
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/*++
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Copyright (c) 2006 Microsoft Corporation
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Module Name:
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luby.cpp
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Abstract:
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<abstract>
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Author:
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Leonardo de Moura (leonardo) 2008-03-04.
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Revision History:
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--*/
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#include<cmath>
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unsigned get_luby(unsigned i) {
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if (i == 1)
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return 1;
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double k = log(static_cast<double>(i+1))/log(static_cast<double>(2));
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if (k == floor(k + 0.5))
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return static_cast<unsigned>(pow(2,k-1));
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else {
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k = static_cast<unsigned>(floor(k));
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return get_luby(i - static_cast<unsigned>(pow(2, k)) + 1);
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}
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}
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/*++
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Copyright (c) 2006 Microsoft Corporation
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Module Name:
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luby.h
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Abstract:
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<abstract>
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Author:
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Leonardo de Moura (leonardo) 2008-03-04.
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Revision History:
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--*/
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#ifndef _LUBY_H_
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#define _LUBY_H_
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/**
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\brief Return the i-th element of the Luby sequence: 1,1,2,1,1,2,4,1,1,2,1,1,2,4,8,...
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get_luby(i) = 2^{i-1} if i = 2^k -1
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get_luby(i) = get_luby(i - 2^{k-1} + 1) if 2^{k-1} <= i < 2^k - 1
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*/
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unsigned get_luby(unsigned i);
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#endif /* _LUBY_H_ */
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237
src/sat/sat_types.h
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237
src/sat/sat_types.h
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/*++
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Copyright (c) 2011 Microsoft Corporation
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Module Name:
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sat_types.h
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Abstract:
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Basic types used in the SAT solver
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Author:
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Leonardo de Moura (leonardo) 2011-05-21.
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Revision History:
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--*/
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#ifndef _SAT_TYPES_H_
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#define _SAT_TYPES_H_
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#include"debug.h"
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#include"approx_set.h"
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#include"lbool.h"
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#include"tactic_exception.h"
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#include"vector.h"
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#include<iomanip>
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namespace sat {
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#define SAT_VB_LVL 10
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// TODO: there is some duplication in the sat and smt namespaces.
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// The sat namespace should be the base.
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// I should cleanup the smt namespace later.
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/**
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\brief A boolean variable is just an integer.
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*/
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typedef unsigned bool_var;
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typedef svector<bool_var> bool_var_vector;
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const bool_var null_bool_var = UINT_MAX >> 1;
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/**
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\brief The literal b is represented by the value 2*b, and
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the literal (not b) by the value 2*b + 1
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*/
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class literal {
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unsigned m_val;
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explicit literal(unsigned v):m_val(v) {}
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public:
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literal():m_val(null_bool_var << 1) {
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SASSERT(var() == null_bool_var && !sign());
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}
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literal(bool_var v, bool _sign):
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m_val((v << 1) + static_cast<unsigned>(_sign)) {
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SASSERT(var() == v);
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SASSERT(sign() == _sign);
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}
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bool_var var() const {
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return m_val >> 1;
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}
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bool sign() const {
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return m_val & 1;
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}
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literal unsign() const {
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return literal(m_val & ~1);
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}
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unsigned index() const {
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return m_val;
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}
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void neg() {
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m_val = m_val ^ 1;
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}
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friend literal operator~(literal l) {
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return literal(l.m_val ^ 1);
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}
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unsigned to_uint() const { return m_val; }
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unsigned hash() const { return to_uint(); }
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friend literal to_literal(unsigned x);
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friend bool operator<(literal const & l1, literal const & l2);
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friend bool operator==(literal const & l1, literal const & l2);
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friend bool operator!=(literal const & l1, literal const & l2);
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};
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const literal null_literal;
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inline literal to_literal(unsigned x) { return literal(x); }
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inline bool operator<(literal const & l1, literal const & l2) { return l1.m_val < l2.m_val; }
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inline bool operator==(literal const & l1, literal const & l2) { return l1.m_val == l2.m_val; }
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inline bool operator!=(literal const & l1, literal const & l2) { return l1.m_val != l2.m_val; }
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inline std::ostream & operator<<(std::ostream & out, literal l) { out << (l.sign() ? "-" : "") << l.var(); return out; }
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typedef svector<literal> literal_vector;
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typedef unsigned clause_offset;
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typedef unsigned ext_constraint_idx;
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typedef unsigned ext_justification_idx;
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struct literal2unsigned { unsigned operator()(literal l) const { return l.to_uint(); } };
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typedef approx_set_tpl<literal, literal2unsigned, unsigned> literal_approx_set;
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typedef approx_set_tpl<bool_var, u2u, unsigned> var_approx_set;
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enum phase {
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POS_PHASE, NEG_PHASE, PHASE_NOT_AVAILABLE
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};
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class solver;
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class clause;
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class clause_wrapper;
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class integrity_checker;
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typedef ptr_vector<clause> clause_vector;
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class solver_exception : public tactic_exception {
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public:
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solver_exception(char const * msg):tactic_exception(msg) {}
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};
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typedef default_exception sat_param_exception;
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typedef svector<lbool> model;
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inline lbool value_at(bool_var v, model const & m) { return m[v]; }
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inline lbool value_at(literal l, model const & m) { lbool r = value_at(l.var(), m); return l.sign() ? ~r : r; }
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inline std::ostream & operator<<(std::ostream & out, model const & m) {
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bool first = true;
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for (bool_var v = 0; v < m.size(); v++) {
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if (m[v] == l_undef) continue;
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if (first) first = false; else out << " ";
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if (m[v] == l_true) out << v; else out << "-" << v;
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}
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return out;
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}
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class uint_set {
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svector<char> m_in_set;
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svector<unsigned> m_set;
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public:
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typedef svector<unsigned>::const_iterator iterator;
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void insert(unsigned v) {
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m_in_set.reserve(v+1, false);
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if (m_in_set[v])
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return;
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m_in_set[v] = true;
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m_set.push_back(v);
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}
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bool contains(unsigned v) const {
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return v < m_in_set.size() && m_in_set[v] != 0;
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}
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bool empty() const {
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return m_set.empty();
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}
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// erase some variable from the set
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unsigned erase() {
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SASSERT(!empty());
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unsigned v = m_set.back();
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m_set.pop_back();
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m_in_set[v] = false;
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return v;
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}
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iterator begin() const { return m_set.begin(); }
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iterator end() const { return m_set.end(); }
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void reset() { m_set.reset(); m_in_set.reset(); }
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void cleanup() { m_set.finalize(); m_in_set.finalize(); }
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};
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typedef uint_set bool_var_set;
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class literal_set {
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uint_set m_set;
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public:
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void insert(literal l) { m_set.insert(l.index()); }
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bool contains(literal l) const { return m_set.contains(l.index()); }
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bool empty() const { return m_set.empty(); }
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void reset() { m_set.reset(); }
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void cleanup() { m_set.cleanup(); }
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};
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struct mem_stat {
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};
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inline std::ostream & operator<<(std::ostream & out, mem_stat const & m) {
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double mem = static_cast<double>(memory::get_allocation_size())/static_cast<double>(1024*1024);
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out << " :memory " << std::fixed << std::setprecision(2) << mem;
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return out;
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}
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struct dimacs_lit {
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literal m_lit;
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dimacs_lit(literal l):m_lit(l) {}
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};
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inline std::ostream & operator<<(std::ostream & out, dimacs_lit const & dl) {
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literal l = dl.m_lit;
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if (l.sign()) out << "-" << (l.var() + 1);
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else out << (l.var() + 1);
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return out;
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}
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struct mk_lits_pp {
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unsigned m_num;
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literal const * m_lits;
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mk_lits_pp(unsigned num, literal const * ls):m_num(num), m_lits(ls) {}
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};
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inline std::ostream & operator<<(std::ostream & out, mk_lits_pp const & ls) {
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for (unsigned i = 0; i < ls.m_num; i++) {
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if (i > 0) out << " ";
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out << ls.m_lits[i];
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}
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return out;
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}
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inline std::ostream & operator<<(std::ostream & out, literal_vector const & ls) {
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return out << mk_lits_pp(ls.size(), ls.c_ptr());
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}
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};
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#endif
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