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test hilbert-basis with fdds and checked integers
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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11 changed files with 969 additions and 83 deletions
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src/util/checked_int64.h
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src/util/checked_int64.h
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/*++
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Copyright (c) 2013 Microsoft Corporation
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Module Name:
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checked_int64.h
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Abstract:
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A class for wrapping checked (and unchecked) int64 operations.
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Note: the mpfx class defines a more general class of fixed-point operations.
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A tradeoff is that it relies on a manager.
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This class several of the most common operations from rational, so
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it can be swapped for rational.
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Author:
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Nikolaj Bjorner (nbjorner) 2013-03-25.
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Revision History:
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--*/
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#ifndef __CHECKED_INT64_H_
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#define __CHECKED_INT64_H_
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#include"z3_exception.h"
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#include"rational.h"
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template<bool CHECK>
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class checked_int64 {
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int64 m_value;
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typedef checked_int64 ci;
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rational r64(int64 i) { return rational(i, rational::i64()); }
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public:
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checked_int64(): m_value(0) {}
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checked_int64(int64 v): m_value(v) {}
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checked_int64(checked_int64 const& other) { m_value = other.m_value; }
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class overflow_exception : public z3_exception {
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virtual char const * msg() const { return "checked_int64 overflow/underflow";}
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};
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bool is_zero() const { return m_value == 0; }
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bool is_pos() const { return m_value > 0; }
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bool is_neg() const { return m_value < 0; }
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bool is_one() const { return m_value == 1; }
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bool is_minus_one() const { return m_value == -1; }
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bool is_nonneg() const { return m_value >= 0; }
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bool is_nonpos() const { return m_value <= 0; }
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bool is_even() const { return 0 == (m_value ^ 0x1); }
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static checked_int64 zero() { return ci(0); }
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static checked_int64 one() { return ci(1); }
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static checked_int64 minus_one() { return ci(-1);}
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int64 get_int64() const { return m_value; }
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checked_int64 abs() const {
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if (m_value >= 0) {
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return *this;
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}
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if (CHECK && m_value == INT64_MIN) {
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throw overflow_exception();
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}
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return ci(-m_value);
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}
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checked_int64& neg() {
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if (CHECK && m_value == INT64_MIN) {
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throw overflow_exception();
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}
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m_value = -m_value;
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return *this;
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}
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unsigned hash() const { return static_cast<unsigned>(m_value); }
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struct hash_proc { unsigned operator()(checked_int64 const& r) const { return r.hash(); } };
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struct eq_proc { bool operator()(checked_int64 const& r1, checked_int64 const& r2) const { return r1 == r2; } };
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friend inline std::ostream& operator<<(std::ostream& out, checked_int64 const& i) {
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return out << i.m_value;
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}
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friend inline bool operator==(checked_int64 const& a, checked_int64 const& b) {
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return a.m_value == b.m_value;
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}
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friend inline bool operator<(checked_int64 const& a, checked_int64 const& b) {
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return a.m_value < b.m_value;
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}
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checked_int64 & operator++() {
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if (CHECK && INT64_MAX == m_value) {
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throw overflow_exception();
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}
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++m_value;
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return *this;
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}
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const checked_int64 operator++(int) { checked_int64 tmp(*this); ++(*this); return tmp; }
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checked_int64 & operator--() {
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if (CHECK && m_value == INT64_MIN) {
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throw overflow_exception();
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}
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--m_value;
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return *this;
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}
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const checked_int64 operator--(int) { checked_int64 tmp(*this); --(*this); return tmp; }
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checked_int64& operator+=(checked_int64 const& other) {
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if (CHECK && m_value > 0 && other.m_value > 0 &&
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(m_value > INT_MAX || other.m_value > INT_MAX)) {
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rational r(r64(m_value) + r64(other.m_value));
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if (!r.is_int64()) {
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throw overflow_exception();
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}
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m_value = r.get_int64();
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return *this;
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}
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if (CHECK && m_value < 0 && other.m_value < 0 &&
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(m_value < INT_MIN || other.m_value < INT_MIN)) {
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rational r(r64(m_value) + r64(other.m_value));
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if (!r.is_int64()) {
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throw overflow_exception();
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}
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m_value = r.get_int64();
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return *this;
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}
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m_value += other.m_value;
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return *this;
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}
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checked_int64& operator-=(checked_int64 const& other) {
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if (CHECK && m_value > 0 && other.m_value < 0 &&
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(m_value > INT_MAX || other.m_value < INT_MIN)) {
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rational r(r64(m_value) - r64(other.m_value));
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if (!r.is_int64()) {
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throw overflow_exception();
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}
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m_value = r.get_int64();
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return *this;
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}
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if (CHECK && m_value < 0 && other.m_value > 0 &&
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(m_value < INT_MIN || other.m_value > INT_MAX)) {
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rational r(r64(m_value) - r64(other.m_value));
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if (!r.is_int64()) {
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throw overflow_exception();
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}
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m_value = r.get_int64();
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return *this;
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}
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m_value -= other.m_value;
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return *this;
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}
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checked_int64& operator*=(checked_int64 const& other) {
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if (CHECK) {
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rational r(r64(m_value) * r64(other.m_value));
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if (!r.is_int64()) {
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throw overflow_exception();
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}
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m_value = r.get_int64();
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}
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else {
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m_value *= other.m_value;
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}
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return *this;
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}
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friend inline checked_int64 abs(checked_int64 const& i) {
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return i.abs();
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}
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};
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template<bool CHECK>
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inline bool operator!=(checked_int64<CHECK> const & i1, checked_int64<CHECK> const & i2) {
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return !operator==(i1, i2);
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}
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template<bool CHECK>
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inline bool operator>(checked_int64<CHECK> const & i1, checked_int64<CHECK> const & i2) {
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return operator<(i2, i1);
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}
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template<bool CHECK>
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inline bool operator<=(checked_int64<CHECK> const & i1, checked_int64<CHECK> const & i2) {
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return !operator>(i1, i2);
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}
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template<bool CHECK>
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inline bool operator>=(checked_int64<CHECK> const & i1, checked_int64<CHECK> const & i2) {
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return !operator<(i1, i2);
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}
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template<bool CHECK>
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inline checked_int64<CHECK> operator-(checked_int64<CHECK> const& i) {
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checked_int64<CHECK> result(i);
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return result.neg();
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}
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template<bool CHECK>
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inline checked_int64<CHECK> operator+(checked_int64<CHECK> const& a, checked_int64<CHECK> const& b) {
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checked_int64<CHECK> result(a);
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result += b;
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return result;
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}
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template<bool CHECK>
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inline checked_int64<CHECK> operator-(checked_int64<CHECK> const& a, checked_int64<CHECK> const& b) {
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checked_int64<CHECK> result(a);
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result -= b;
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return result;
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}
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template<bool CHECK>
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inline checked_int64<CHECK> operator*(checked_int64<CHECK> const& a, checked_int64<CHECK> const& b) {
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checked_int64<CHECK> result(a);
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result *= b;
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return result;
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}
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#endif
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