/usr/include/gecode/int/arithmetic.hh is in libgecode-dev 3.7.1-3.
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/*
* Main authors:
* Christian Schulte <schulte@gecode.org>
* Guido Tack <tack@gecode.org>
*
* Copyright:
* Christian Schulte, 2002
* Guido Tack, 2004
*
* Last modified:
* $Date: 2009-11-02 17:10:59 +0100 (Mon, 02 Nov 2009) $ by $Author: tack $
* $Revision: 10021 $
*
* This file is part of Gecode, the generic constraint
* development environment:
* http://www.gecode.org
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*
*/
#ifndef __GECODE_INT_ARITHMETIC_HH__
#define __GECODE_INT_ARITHMETIC_HH__
#include <gecode/int.hh>
#include <gecode/int/rel.hh>
#include <gecode/int/linear.hh>
/**
* \namespace Gecode::Int::Arithmetic
* \brief Numerical (arithmetic) propagators
*/
namespace Gecode { namespace Int { namespace Arithmetic {
/**
* \brief Bounds consistent absolute value propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View>
class AbsBnd : public BinaryPropagator<View,PC_INT_BND> {
protected:
using BinaryPropagator<View,PC_INT_BND>::x0;
using BinaryPropagator<View,PC_INT_BND>::x1;
/// Constructor for cloning \a p
AbsBnd(Space& home, bool share, AbsBnd& p);
/// Constructor for posting
AbsBnd(Home home, View x0, View x1);
public:
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/**
* \brief Cost function
*
* If a view has been assigned, the cost is low unary.
* Otherwise it is low binary.
*/
virtual PropCost cost(const Space& home, const ModEventDelta& med) const;
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/// Post bounds consistent propagator \f$ |x_0|=x_1\f$
static ExecStatus post(Home home, View x0, View x1);
};
/**
* \brief Domain consistent absolute value propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View>
class AbsDom : public BinaryPropagator<View,PC_INT_DOM> {
protected:
using BinaryPropagator<View,PC_INT_DOM>::x0;
using BinaryPropagator<View,PC_INT_DOM>::x1;
/// Constructor for cloning \a p
AbsDom(Space& home, bool share, AbsDom& p);
/// Constructor for posting
AbsDom(Home home, View x0, View x1);
public:
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/**
* \brief Cost function
*
* If a view has been assigned, the cost is low binary.
* If in stage for bounds propagation, the cost is
* low binary. Otherwise it is high binary.
*/
virtual PropCost cost(const Space& home, const ModEventDelta& med) const;
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/// Post domain consistent propagator \f$ |x_0|=x_1\f$
static ExecStatus post(Home home, View x0, View x1);
};
/**
* \brief Bounds consistent ternary maximum propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View>
class MaxBnd : public TernaryPropagator<View,PC_INT_BND> {
protected:
using TernaryPropagator<View,PC_INT_BND>::x0;
using TernaryPropagator<View,PC_INT_BND>::x1;
using TernaryPropagator<View,PC_INT_BND>::x2;
/// Constructor for cloning \a p
MaxBnd(Space& home, bool share, MaxBnd& p);
/// Constructor for posting
MaxBnd(Home home, View x0, View x1, View x2);
public:
/// Constructor for rewriting \a p during cloning
MaxBnd(Space& home, bool share, Propagator& p, View x0, View x1, View x2);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/// Post propagator \f$ \max\{x_0,x_1\}=x_2\f$
static ExecStatus post(Home home, View x0, View x1, View x2);
};
/**
* \brief Bounds consistent n-ary maximum propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View>
class NaryMaxBnd : public NaryOnePropagator<View,PC_INT_BND> {
protected:
using NaryOnePropagator<View,PC_INT_BND>::x;
using NaryOnePropagator<View,PC_INT_BND>::y;
/// Constructor for cloning \a p
NaryMaxBnd(Space& home, bool share, NaryMaxBnd& p);
/// Constructor for posting
NaryMaxBnd(Home home, ViewArray<View>& x, View y);
public:
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/// Post propagator \f$ \max x=y\f$
static ExecStatus post(Home home, ViewArray<View>& x, View y);
};
/**
* \brief Domain consistent ternary maximum propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View>
class MaxDom : public TernaryPropagator<View,PC_INT_DOM> {
protected:
using TernaryPropagator<View,PC_INT_DOM>::x0;
using TernaryPropagator<View,PC_INT_DOM>::x1;
using TernaryPropagator<View,PC_INT_DOM>::x2;
/// Constructor for cloning \a p
MaxDom(Space& home, bool share, MaxDom& p);
/// Constructor for posting
MaxDom(Home home, View x0, View x1, View x2);
public:
/// Constructor for rewriting \a p during cloning
MaxDom(Space& home, bool share, Propagator& p, View x0, View x1, View x2);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/**
* \brief Cost function
*
* If in stage for bounds propagation, the cost is
* low ternary. Otherwise it is high ternary.
*/
virtual PropCost cost(const Space& home, const ModEventDelta& med) const;
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/// Post propagator \f$ \max\{x_0,x_1\}=x_2\f$
static ExecStatus post(Home home, View x0, View x1, View x2);
};
/**
* \brief Domain consistent n-ary maximum propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View>
class NaryMaxDom : public NaryOnePropagator<View,PC_INT_DOM> {
protected:
using NaryOnePropagator<View,PC_INT_DOM>::x;
using NaryOnePropagator<View,PC_INT_DOM>::y;
/// Constructor for cloning \a p
NaryMaxDom(Space& home, bool share, NaryMaxDom& p);
/// Constructor for posting
NaryMaxDom(Home home, ViewArray<View>& x, View y);
public:
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/**
* \brief Cost function
*
* If in stage for bounds propagation, the cost is
* low linear. Otherwise it is high linear.
*/
virtual PropCost cost(const Space& home, const ModEventDelta& med) const;
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/// Post propagator \f$ \max x=y\f$
static ExecStatus post(Home home, ViewArray<View>& x, View y);
};
/**
* \brief Bounds consistent positive square propagator
*
* This propagator provides multiplication for positive views only.
*/
template<class VA, class VB>
class SqrPlusBnd : public MixBinaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND> {
protected:
using MixBinaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND>::x0;
using MixBinaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND>::x1;
/// Constructor for posting
SqrPlusBnd(Home home, VA x0, VB x1);
/// Constructor for cloning \a p
SqrPlusBnd(Space& home, bool share, SqrPlusBnd<VA,VB>& p);
public:
/// Post propagator \f$x_0\cdot x_0=x_1\f$
static ExecStatus post(Home home, VA x0, VB x1);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
};
/**
* \brief Bounds consistent square propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View>
class SqrBnd : public BinaryPropagator<View,PC_INT_BND> {
protected:
using BinaryPropagator<View,PC_INT_BND>::x0;
using BinaryPropagator<View,PC_INT_BND>::x1;
/// Constructor for cloning \a p
SqrBnd(Space& home, bool share, SqrBnd<View>& p);
/// Constructor for posting
SqrBnd(Home home, View x0, View x1);
public:
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/// Post propagator \f$x_0\cdot x_0=x_1\f$
static ExecStatus post(Home home, View x0, View x1);
};
/**
* \brief Domain consistent positive square propagator
*
* This propagator provides multiplication for positive views only.
*/
template<class VA, class VB>
class SqrPlusDom : public MixBinaryPropagator<VA,PC_INT_DOM,VB,PC_INT_DOM> {
protected:
using MixBinaryPropagator<VA,PC_INT_DOM,VB,PC_INT_DOM>::x0;
using MixBinaryPropagator<VA,PC_INT_DOM,VB,PC_INT_DOM>::x1;
/// Constructor for posting
SqrPlusDom(Home home, VA x0, VB x1);
/// Constructor for cloning \a p
SqrPlusDom(Space& home, bool share, SqrPlusDom<VA,VB>& p);
public:
/// Post propagator \f$x_0\cdot x_0=x_1\f$
static ExecStatus post(Home home, VA x0, VB x1);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/**
* \brief Cost function
*
* If a view has been assigned, the cost is low unary.
* If in stage for bounds propagation, the cost is
* low binary. Otherwise it is high binary.
*/
virtual PropCost cost(const Space& home, const ModEventDelta& med) const;
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
};
/**
* \brief Domain consistent square propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View>
class SqrDom : public BinaryPropagator<View,PC_INT_DOM> {
protected:
using BinaryPropagator<View,PC_INT_DOM>::x0;
using BinaryPropagator<View,PC_INT_DOM>::x1;
/// Constructor for cloning \a p
SqrDom(Space& home, bool share, SqrDom<View>& p);
/// Constructor for posting
SqrDom(Home home, View x0, View x1);
public:
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/**
* \brief Cost function
*
* If a view has been assigned, the cost is low unary.
* If in stage for bounds propagation, the cost is
* low binary. Otherwise it is high binary.
*/
virtual PropCost cost(const Space& home, const ModEventDelta& med) const;
/// Post propagator \f$x_0\cdot x_0=x_1\f$
static ExecStatus post(Home home, View x0, View x1);
};
/**
* \brief Bounds consistent square root propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View>
class SqrtBnd : public BinaryPropagator<View,PC_INT_BND> {
protected:
using BinaryPropagator<View,PC_INT_BND>::x0;
using BinaryPropagator<View,PC_INT_BND>::x1;
/// Constructor for cloning \a p
SqrtBnd(Space& home, bool share, SqrtBnd<View>& p);
/// Constructor for posting
SqrtBnd(Home home, View x0, View x1);
public:
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/// Post propagator \f$\lfloor\sqrt{x_0}\rfloor=x_1\f$
static ExecStatus post(Home home, View x0, View x1);
};
/**
* \brief Domain consistent square root propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View>
class SqrtDom : public BinaryPropagator<View,PC_INT_DOM> {
protected:
using BinaryPropagator<View,PC_INT_DOM>::x0;
using BinaryPropagator<View,PC_INT_DOM>::x1;
/// Constructor for cloning \a p
SqrtDom(Space& home, bool share, SqrtDom<View>& p);
/// Constructor for posting
SqrtDom(Home home, View x0, View x1);
public:
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/**
* \brief Cost function
*
* If a view has been assigned, the cost is low unary.
* If in stage for bounds propagation, the cost is
* low binary. Otherwise it is high binary.
*/
virtual PropCost cost(const Space& home, const ModEventDelta& med) const;
/// Post propagator \f$\lfloor\sqrt{x_0}\rfloor=x_1\f$
static ExecStatus post(Home home, View x0, View x1);
};
/**
* \brief Bounds or domain consistent propagator for \f$x_0\times x_1=x_0\f$
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
* \ingroup FuncIntProp
*/
template<class View, PropCond pc>
class MultZeroOne : public BinaryPropagator<View,pc> {
protected:
using BinaryPropagator<View,pc>::x0;
using BinaryPropagator<View,pc>::x1;
/// Constructor for cloning \a p
MultZeroOne(Space& home, bool share, MultZeroOne<View,pc>& p);
/// Constructor for posting
MultZeroOne(Home home, View x0, View x1);
/// Test whether \a x is equal to \a n
static RelTest equal(View x, int n);
public:
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
/// Post propagator \f$x_0\cdot x_1=x_0\f$
static ExecStatus post(Home home, View x0, View x1);
};
/**
* \brief Bounds consistent positive multiplication propagator
*
* This propagator provides multiplication for positive views only.
*/
template<class Val, class VA, class VB, class VC>
class MultPlusBnd :
public MixTernaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND,VC,PC_INT_BND> {
protected:
using MixTernaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND,VC,PC_INT_BND>::x0;
using MixTernaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND,VC,PC_INT_BND>::x1;
using MixTernaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND,VC,PC_INT_BND>::x2;
public:
/// Constructor for posting
MultPlusBnd(Home home, VA x0, VB x1, VC x2);
/// Constructor for cloning \a p
MultPlusBnd(Space& home, bool share, MultPlusBnd<Val,VA,VB,VC>& p);
/// Post propagator \f$x_0\cdot x_1=x_2\f$
static ExecStatus post(Home home, VA x0, VB x1, VC x2);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
};
/**
* \brief Bounds consistent multiplication propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
*
* \ingroup FuncIntProp
*/
template<class View>
class MultBnd : public TernaryPropagator<View,PC_INT_BND> {
protected:
using TernaryPropagator<View,PC_INT_BND>::x0;
using TernaryPropagator<View,PC_INT_BND>::x1;
using TernaryPropagator<View,PC_INT_BND>::x2;
/// Constructor for cloning \a p
MultBnd(Space& home, bool share, MultBnd<View>& p);
public:
/// Constructor for posting
MultBnd(Home home, View x0, View x1, View x2);
/// Post propagator \f$x_0\cdot x_1=x_2\f$
static ExecStatus post(Home home, View x0, View x1, View x2);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
};
/**
* \brief Domain consistent positive multiplication propagator
*
* This propagator provides multiplication for positive views only.
*/
template<class Val, class VA, class VB, class VC>
class MultPlusDom :
public MixTernaryPropagator<VA,PC_INT_DOM,VB,PC_INT_DOM,VC,PC_INT_DOM> {
protected:
using MixTernaryPropagator<VA,PC_INT_DOM,VB,PC_INT_DOM,VC,PC_INT_DOM>::x0;
using MixTernaryPropagator<VA,PC_INT_DOM,VB,PC_INT_DOM,VC,PC_INT_DOM>::x1;
using MixTernaryPropagator<VA,PC_INT_DOM,VB,PC_INT_DOM,VC,PC_INT_DOM>::x2;
public:
/// Constructor for posting
MultPlusDom(Home home, VA x0, VB x1, VC x2);
/// Constructor for cloning \a p
MultPlusDom(Space& home, bool share, MultPlusDom<Val,VA,VB,VC>& p);
/// Post propagator \f$x_0\cdot x_1=x_2\f$
static ExecStatus post(Home home, VA x0, VB x1, VC x2);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/**
* \brief Cost function
*
* If in stage for bounds propagation, the cost is
* low ternary. Otherwise it is high ternary.
*/
virtual PropCost cost(const Space& home, const ModEventDelta& med) const;
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
};
/**
* \brief Domain consistent multiplication propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
*
* \ingroup FuncIntProp
*/
template<class View>
class MultDom : public TernaryPropagator<View,PC_INT_DOM> {
protected:
using TernaryPropagator<View,PC_INT_DOM>::x0;
using TernaryPropagator<View,PC_INT_DOM>::x1;
using TernaryPropagator<View,PC_INT_DOM>::x2;
/// Constructor for cloning \a p
MultDom(Space& home, bool share, MultDom<View>& p);
public:
/// Constructor for posting
MultDom(Home home, View x0, View x1, View x2);
/// Post propagator \f$x_0\cdot x_1=x_2\f$
static ExecStatus post(Home home, View x0, View x1, View x2);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/**
* \brief Cost function
*
* If in stage for bounds propagation, the cost is
* low ternary. Otherwise it is high ternary.
*/
virtual PropCost cost(const Space& home, const ModEventDelta& med) const;
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
};
/**
* \brief Bounds consistent positive division propagator
*
* This propagator provides division for positive views only.
*/
template<class Val, class VA, class VB, class VC>
class DivPlusBnd :
public MixTernaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND,VC,PC_INT_BND> {
protected:
using MixTernaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND,VC,PC_INT_BND>::x0;
using MixTernaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND,VC,PC_INT_BND>::x1;
using MixTernaryPropagator<VA,PC_INT_BND,VB,PC_INT_BND,VC,PC_INT_BND>::x2;
public:
/// Constructor for posting
DivPlusBnd(Home home, VA x0, VB x1, VC x2);
/// Constructor for cloning \a p
DivPlusBnd(Space& home, bool share,
DivPlusBnd<Val,VA,VB,VC>& p);
/// Post propagator \f$x_0\mathrm{div} x_1=x_2\f$ (rounding towards 0)
static ExecStatus post(Home home, VA x0, VB x1, VC x2);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
};
/**
* \brief Bounds consistent division propagator
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
*
* \ingroup FuncIntProp
*/
template<class View>
class DivBnd : public TernaryPropagator<View,PC_INT_BND> {
protected:
using TernaryPropagator<View,PC_INT_BND>::x0;
using TernaryPropagator<View,PC_INT_BND>::x1;
using TernaryPropagator<View,PC_INT_BND>::x2;
/// Constructor for cloning \a p
DivBnd(Space& home, bool share, DivBnd<View>& p);
public:
/// Constructor for posting
DivBnd(Home home, View x0, View x1, View x2);
/// Post propagator \f$x_0\mathrm{div} x_1=x_2\f$ (rounding towards 0)
static ExecStatus post(Home home, View x0, View x1, View x2);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
};
/**
* \brief Integer division/modulo propagator
*
* This propagator implements the relation between divisor and
* modulo of an integer division.
*
* Requires \code #include <gecode/int/arithmetic.hh> \endcode
*
* \ingroup FuncIntProp
*/
template<class View>
class DivMod : public TernaryPropagator<View,PC_INT_BND> {
protected:
using TernaryPropagator<View,PC_INT_BND>::x0;
using TernaryPropagator<View,PC_INT_BND>::x1;
using TernaryPropagator<View,PC_INT_BND>::x2;
/// Constructor for cloning \a p
DivMod(Space& home, bool share, DivMod<View>& p);
public:
/// Constructor for posting
DivMod(Home home, View x0, View x1, View x2);
/// Post propagator \f$x_1\neq 0 \land (x_2\neq 0\Rightarrow x_0\times x_2>0) \land \mathrm{abs}(x_2)<\mathrm{abs}(x_1)\f$
static ExecStatus post(Home home, View x0, View x1, View x2);
/// Copy propagator during cloning
virtual Actor* copy(Space& home, bool share);
/// Perform propagation
virtual ExecStatus propagate(Space& home, const ModEventDelta& med);
};
}}}
#include <gecode/int/arithmetic/abs.hpp>
#include <gecode/int/arithmetic/max.hpp>
#include <gecode/int/arithmetic/sqr.hpp>
#include <gecode/int/arithmetic/sqrt.hpp>
#include <gecode/int/arithmetic/mult.hpp>
#include <gecode/int/arithmetic/divmod.hpp>
#endif
// STATISTICS: int-prop
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