/usr/include/gecode/set/int/minmax.hpp is in libgecode-dev 5.1.0-2build1.
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/*
* Main authors:
* Guido Tack <tack@gecode.org>
* Christian Schulte <schulte@gecode.org>
* Gabor Szokoli <szokoli@gecode.org>
* Denys Duchier <denys.duchier@univ-orleans.fr>
*
* Copyright:
* Guido Tack, 2004
* Christian Schulte, 2004
* Gabor Szokoli, 2004
*
* Last modified:
* $Date: 2017-04-01 20:27:10 +0200 (Sat, 01 Apr 2017) $ by $Author: schulte $
* $Revision: 15623 $
*
* 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.
*
*/
#include <gecode/set.hh>
#include <gecode/int.hh>
namespace Gecode { namespace Set { namespace Int {
template<class View>
forceinline
MinElement<View>::MinElement(Home home, View y0, Gecode::Int::IntView y1)
: MixBinaryPropagator<View,PC_SET_ANY,Gecode::Int::IntView,Gecode::Int::PC_INT_BND> (home, y0, y1) {}
template<class View>
forceinline ExecStatus
MinElement<View>::post(Home home, View x0, Gecode::Int::IntView x1) {
GECODE_ME_CHECK(x0.cardMin(home,1));
(void) new (home) MinElement(home,x0,x1);
return ES_OK;
}
template<class View>
forceinline
MinElement<View>::MinElement(Space& home, bool share, MinElement& p)
: MixBinaryPropagator<View,PC_SET_ANY,Gecode::Int::IntView,Gecode::Int::PC_INT_BND> (home, share, p) {}
template<class View>
Actor*
MinElement<View>::copy(Space& home, bool share) {
return new (home) MinElement(home,share,*this);
}
template<class View>
ExecStatus
MinElement<View>::propagate(Space& home, const ModEventDelta&) {
//x1 is an element of x0.ub
//x1 =< smallest element of x0.lb
//x1 =< x0.cardinialityMin-est largest element of x0.ub
//(these 2 take care of determined x0)
//No element in x0 is smaller than x1
//if x1 is determined, it is part of the ub.
//Consequently:
//The domain of x1 is a subset of x0.ub up to the first element in x0.lb.
//x0 lacks everything smaller than smallest possible x1.
{
LubRanges<View> ub(x0);
GECODE_ME_CHECK(x1.inter_r(home,ub,false));
}
GECODE_ME_CHECK(x1.lq(home,x0.glbMin()));
//if cardMin>lbSize?
assert(x0.cardMin()>=1);
{
/// Compute n-th largest element in x0.lub for n = x0.cardMin()-1
unsigned int size = 0;
int maxN = BndSet::MAX_OF_EMPTY;
for (LubRanges<View> ubr(x0); ubr(); ++ubr, ++size) {}
Region r(home);
int* ub = r.alloc<int>(size*2);
{
int i=0;
for (LubRanges<View> ubr(x0); ubr(); ++ubr, ++i) {
ub[2*i] = ubr.min();
ub[2*i+1] = ubr.max();
}
}
unsigned int x0cm = x0.cardMin()-1;
for (unsigned int i=size; i--;) {
unsigned int width = static_cast<unsigned int>(ub[2*i+1]-ub[2*i]+1);
if (width > x0cm) {
maxN = static_cast<int>(ub[2*i+1]-x0cm);
break;
}
x0cm -= width;
}
GECODE_ME_CHECK(x1.lq(home,maxN));
}
GECODE_ME_CHECK( x0.exclude(home,
Limits::min, x1.min()-1) );
if (x1.assigned()) {
GECODE_ME_CHECK(x0.include(home,x1.val()));
GECODE_ME_CHECK(x0.exclude(home,
Limits::min, x1.val()-1));
return home.ES_SUBSUMED(*this);
}
return ES_FIX;
}
template<class View>
forceinline
NotMinElement<View>::NotMinElement(Home home, View y0,
Gecode::Int::IntView y1)
: MixBinaryPropagator<View,PC_SET_ANY,
Gecode::Int::IntView,Gecode::Int::PC_INT_DOM> (home, y0, y1) {}
template<class View>
forceinline ExecStatus
NotMinElement<View>::post(Home home, View x0, Gecode::Int::IntView x1) {
(void) new (home) NotMinElement(home,x0,x1);
return ES_OK;
}
template<class View>
forceinline
NotMinElement<View>::NotMinElement(Space& home, bool share,
NotMinElement& p)
: MixBinaryPropagator<View,PC_SET_ANY,
Gecode::Int::IntView,Gecode::Int::PC_INT_DOM> (home, share, p) {}
template<class View>
Actor*
NotMinElement<View>::copy(Space& home, bool share) {
return new (home) NotMinElement(home,share,*this);
}
template<class View>
ExecStatus
NotMinElement<View>::propagate(Space& home, const ModEventDelta&) {
// cheap tests for entailment:
// if x0 is empty, then entailed
// if max(x1) < min(x0.lub) or min(x1) > max(x0.lub), then entailed
// if min(x0.glb) < min(x1), then entailed
if ((x0.cardMax() == 0) ||
((x1.max() < x0.lubMin()) || (x1.min() > x0.lubMax())) ||
((x0.glbSize() > 0) && (x0.glbMin() < x1.min())))
return home.ES_SUBSUMED(*this);
// if x1 is determined and = x0.lub.min: remove it from x0,
// then entailed
if (x1.assigned() && x1.val()==x0.lubMin()) {
GECODE_ME_CHECK(x0.exclude(home,x1.val()));
return home.ES_SUBSUMED(*this);
}
// if min(x0) is decided: remove min(x0) from the domain of x1
// then entailed
if (x0.glbMin() == x0.lubMin()) {
GECODE_ME_CHECK(x1.nq(home,x0.glbMin()));
return home.ES_SUBSUMED(*this);
}
// if x1 is determined and = x0.glb.min, then we need at least
// one more element; if there is only one below, then we must
// take it.
if (x1.assigned() && x0.glbSize() > 0 && x1.val()==x0.glbMin()) {
unsigned int oldGlbSize = x0.glbSize();
// if there is only 1 unknown below x1, then we must take it
UnknownRanges<View> ur(x0);
assert(ur());
// the iterator is not empty: otherwise x0 would be determined
// and min(x0) would have been decided and the preceding if
// would have caught it. Also, the first range is not above
// x1 otherwise the very first if would have caught it.
// so let's check if the very first range of unknowns is of
// size 1 and there is no second one or it starts above x1.
if (ur.width()==1) {
int i=ur.min();
++ur;
if (!ur() || ur.min()>x1.val()) {
GECODE_ME_CHECK(x0.include(home,i));
return home.ES_SUBSUMED(*this);
}
}
GECODE_ME_CHECK(x0.cardMin(home, oldGlbSize+1));
}
// if dom(x1) and lub(x0) are disjoint, then entailed;
{
LubRanges<View> ub(x0);
Gecode::Int::ViewRanges<Gecode::Int::IntView> d(x1);
Gecode::Iter::Ranges::Inter<LubRanges<View>,
Gecode::Int::ViewRanges<Gecode::Int::IntView> > ir(ub,d);
if (!ir()) return home.ES_SUBSUMED(*this);
}
// x0 is fated to eventually contain at least x0.cardMin elements.
// therefore min(x0) <= x0.cardMin-th largest element of x0.lub
// if x1 > than that, then entailed.
{
// to find the x0.cardMin-th largest element of x0.lub, we need
// some sort of reverse range iterator. we will need to fake one
// by storing the ranges of the forward iterator in an array.
// first we need to know how large the array needs to be. so, let's
// count the ranges:
int num_ranges = 0;
for (LubRanges<View> ur(x0); ur(); ++ur, ++num_ranges) {}
// create an array for storing min and max of each range
Region r(home);
int* _ur = r.alloc<int>(num_ranges*2);
// now, we fill the array:
int i = 0;
for (LubRanges<View> ur(x0); ur(); ++ur, ++i) {
_ur[2*i ] = ur.min();
_ur[2*i+1] = ur.max();
}
// now we search from the top the range that contains the
// nth largest value.
unsigned int n = x0.cardMin();
int nth_largest = BndSet::MAX_OF_EMPTY;
for (int i=num_ranges; i--; ) {
// number of values in range
unsigned int num_values = static_cast<unsigned int>(_ur[2*i+1]-_ur[2*i]+1);
// does the range contain the value?
if (num_values >= n) {
// record it and exit the loop
nth_largest = static_cast<int>(_ur[2*i+1]-n+1);
break;
}
// otherwise, we skipped num_values
n -= num_values;
}
// if x1.min > nth_largest, then entailed
if (x1.min() > nth_largest)
return home.ES_SUBSUMED(*this);
}
return ES_FIX;
}
template<class View, ReifyMode rm>
forceinline
ReMinElement<View,rm>::ReMinElement(Home home, View y0,
Gecode::Int::IntView y1,
Gecode::Int::BoolView b2)
: Gecode::Int::ReMixBinaryPropagator<View,PC_SET_ANY,
Gecode::Int::IntView,Gecode::Int::PC_INT_DOM,
Gecode::Int::BoolView> (home, y0, y1, b2) {}
template<class View, ReifyMode rm>
forceinline ExecStatus
ReMinElement<View,rm>::post(Home home, View x0, Gecode::Int::IntView x1,
Gecode::Int::BoolView b2) {
(void) new (home) ReMinElement(home,x0,x1,b2);
return ES_OK;
}
template<class View, ReifyMode rm>
forceinline
ReMinElement<View,rm>::ReMinElement(Space& home, bool share,
ReMinElement& p)
: Gecode::Int::ReMixBinaryPropagator<View,PC_SET_ANY,
Gecode::Int::IntView,Gecode::Int::PC_INT_DOM,
Gecode::Int::BoolView> (home, share, p) {}
template<class View, ReifyMode rm>
Actor*
ReMinElement<View,rm>::copy(Space& home, bool share) {
return new (home) ReMinElement(home,share,*this);
}
template<class View, ReifyMode rm>
ExecStatus
ReMinElement<View,rm>::propagate(Space& home, const ModEventDelta&) {
// check if b is determined
if (b.one()) {
if (rm == RM_PMI)
return home.ES_SUBSUMED(*this);
GECODE_REWRITE(*this, (MinElement<View>::post(home(*this),x0,x1)));
}
if (b.zero()) {
if (rm == RM_IMP)
return home.ES_SUBSUMED(*this);
GECODE_REWRITE(*this, (NotMinElement<View>::post(home(*this),x0,x1)));
}
// cheap tests for => b=0
// if x0 is empty, then b=0 and entailed
// if max(x1) < min(x0.lub) or min(x1) > max(x0.lub), then b=0 and entailed
// if min(x0.glb) < min(x1), then b=0 and entailed
if ((x0.cardMax() == 0) ||
((x1.max() < x0.lubMin()) || (x1.min() > x0.lubMax())) ||
((x0.glbSize() > 0) && (x0.glbMin() < x1.min())))
{
if (rm != RM_PMI)
GECODE_ME_CHECK(b.zero(home));
return home.ES_SUBSUMED(*this);
}
// if min(x0) is decided
if (x0.glbMin() == x0.lubMin()) {
// if x1 is det: check if = min(x0), assign b, entailed
if (x1.assigned()) {
if (x1.val() == x0.glbMin()) {
if (rm != RM_IMP)
GECODE_ME_CHECK(b.one(home));
} else {
if (rm != RM_PMI)
GECODE_ME_CHECK(b.zero(home));
}
return home.ES_SUBSUMED(*this);
}
// if min(x0) not in dom(x1): b=0, entailed
else if ((x0.glbMin() < x1.min()) ||
(x0.glbMin() > x1.max()) ||
!x1.in(x0.glbMin()))
{
if (rm != RM_PMI)
GECODE_ME_CHECK(b.zero(home));
return home.ES_SUBSUMED(*this);
}
}
// // if dom(x1) and lub(x0) are disjoint, then b=0, entailed;
// {
// LubRanges<View> ub(x0);
// Gecode::Int::ViewRanges<Gecode::Int::IntView> d(x1);
// Gecode::Iter::Ranges::Inter<LubRanges<View>,
// Gecode::Int::ViewRanges<Gecode::Int::IntView> > ir(ub,d);
// if (!ir()) {
// GECODE_ME_CHECK(b.zero(home));
// return home.ES_SUBSUMED(*this);
// }
// }
// // x0 is fated to eventually contain at least x0.cardMin elements.
// // therefore min(x0) <= x0.cardMin-th largest element of x0.lub
// // if x1 > than that, then b=0 and entailed.
// {
// // to find the x0.cardMin-th largest element of x0.lub, we need
// // some sort of reverse range iterator. we will need to fake one
// // by storing the ranges of the forward iterator in an array.
// // first we need to know how large the array needs to be. so, let's
// // count the ranges:
// int num_ranges = 0;
// for (LubRanges<View> ur(x0); ur(); ++ur, ++num_ranges) {}
// // create an array for storing min and max of each range
// Region re(home);
// int* _ur = re.alloc<int>(num_ranges*2);
// // now, we fill the array:
// int i = 0;
// for (LubRanges<View> ur(x0); ur(); ++ur, ++i) {
// _ur[2*i ] = ur.min();
// _ur[2*i+1] = ur.max();
// }
// // now we search from the top the range that contains the
// // nth largest value.
// int n = x0.cardMin();
// int nth_largest = BndSet::MAX_OF_EMPTY;
// for (int i=num_ranges; i--; ) {
// // number of values in range
// int num_values = _ur[2*i+1]-_ur[2*i]+1;
// // does the range contain the value?
// if (num_values >= n)
// {
// // record it and exit the loop
// nth_largest = _ur[2*i+1]-n+1;
// break;
// }
// // otherwise, we skipped num_values
// n -= num_values;
// }
// // if x1.min > nth_largest, then entailed
// if (x1.min() > nth_largest) {
// GECODE_ME_CHECK(b.zero(home));
// return home.ES_SUBSUMED(*this);
// }
// }
return ES_FIX;
}
template<class View>
forceinline
MaxElement<View>::MaxElement(Home home, View y0, Gecode::Int::IntView y1)
: MixBinaryPropagator<View,PC_SET_ANY,
Gecode::Int::IntView,Gecode::Int::PC_INT_BND> (home, y0, y1) {}
template<class View>
forceinline
MaxElement<View>::MaxElement(Space& home, bool share, MaxElement& p)
: MixBinaryPropagator<View,PC_SET_ANY,
Gecode::Int::IntView,Gecode::Int::PC_INT_BND> (home, share, p) {}
template<class View>
ExecStatus
MaxElement<View>::post(Home home, View x0,
Gecode::Int::IntView x1) {
GECODE_ME_CHECK(x0.cardMin(home,1));
(void) new (home) MaxElement(home,x0,x1);
return ES_OK;
}
template<class View>
Actor*
MaxElement<View>::copy(Space& home, bool share) {
return new (home) MaxElement(home,share,*this);
}
template<class View>
ExecStatus
MaxElement<View>::propagate(Space& home, const ModEventDelta&) {
LubRanges<View> ub(x0);
GECODE_ME_CHECK(x1.inter_r(home,ub,false));
GECODE_ME_CHECK(x1.gq(home,x0.glbMax()));
assert(x0.cardMin()>=1);
GECODE_ME_CHECK(x1.gq(home,x0.lubMinN(x0.cardMin()-1)));
GECODE_ME_CHECK(x0.exclude(home,
x1.max()+1,Limits::max) );
if (x1.assigned()) {
GECODE_ME_CHECK(x0.include(home,x1.val()));
GECODE_ME_CHECK( x0.exclude(home,
x1.val()+1,Limits::max) );
return home.ES_SUBSUMED(*this);
}
return ES_FIX;
}
template<class View>
forceinline
NotMaxElement<View>::NotMaxElement(Home home, View y0,
Gecode::Int::IntView y1)
: MixBinaryPropagator<View,PC_SET_ANY,
Gecode::Int::IntView,Gecode::Int::PC_INT_DOM> (home, y0, y1) {}
template<class View>
forceinline
NotMaxElement<View>::NotMaxElement(Space& home, bool share,
NotMaxElement& p)
: MixBinaryPropagator<View,PC_SET_ANY,
Gecode::Int::IntView,Gecode::Int::PC_INT_DOM> (home, share, p) {}
template<class View>
ExecStatus
NotMaxElement<View>::post(Home home, View x0, Gecode::Int::IntView x1) {
(void) new (home) NotMaxElement(home,x0,x1);
return ES_OK;
}
template<class View>
Actor*
NotMaxElement<View>::copy(Space& home, bool share) {
return new (home) NotMaxElement(home,share,*this);
}
template<class View>
ExecStatus
NotMaxElement<View>::propagate(Space& home, const ModEventDelta&) {
// cheap tests for entailment:
// if x0 is empty, then entailed
// if max(x1) < min(x0.lub) or min(x1) > max(x0.lub), then entailed
// if max(x0.glb) > max(x1), then entailed
if ((x0.cardMax() == 0) ||
((x1.max() < x0.lubMin()) || (x1.min() > x0.lubMax())) ||
((x0.glbSize() > 0) && (x0.glbMax() > x1.max())))
return home.ES_SUBSUMED(*this);
// if x1 is determined and = max(x0.lub): remove it from x0,
// then entailed
if (x1.assigned() && x1.val()==x0.lubMax()) {
GECODE_ME_CHECK(x0.exclude(home,x1.val()));
return home.ES_SUBSUMED(*this);
}
// if max(x0) is decided: remove max(x0) from the domain of x1
// then entailed
if (x0.glbMax() == x0.lubMax()) {
GECODE_ME_CHECK(x1.nq(home,x0.glbMax()));
return home.ES_SUBSUMED(*this);
}
// if x1 is determined and = max(x0.glb), then we need at least
// one more element; if there is only one above, then we must
// take it.
if (x1.assigned() && x0.glbSize() > 0 && x1.val()==x0.glbMax()) {
unsigned int oldGlbSize = x0.glbSize();
// if there is only 1 unknown above x1, then we must take it
UnknownRanges<View> ur(x0);
// there is at least one unknown above x1 otherwise it would
// have been caught by the if for x1=max(x0.lub)
while (ur.max() < x1.val()) {
assert(ur());
++ur;
};
// if the first range above x1 contains just 1 element,
// and is the last range, then take that element
if (ur.width() == 1) {
int i = ur.min();
++ur;
if (!ur()) {
// last range
GECODE_ME_CHECK(x0.include(home,i));
return home.ES_SUBSUMED(*this);
}
}
GECODE_ME_CHECK(x0.cardMin(home, oldGlbSize+1));
}
// if dom(x1) and lub(x0) are disjoint, then entailed
{
LubRanges<View> ub(x0);
Gecode::Int::ViewRanges<Gecode::Int::IntView> d(x1);
Gecode::Iter::Ranges::Inter<LubRanges<View>,
Gecode::Int::ViewRanges<Gecode::Int::IntView> > ir(ub,d);
if (!ir()) return home.ES_SUBSUMED(*this);
}
// x0 is fated to eventually contain at least x0.cardMin elements.
// therefore max(x0) >= x0.cardMin-th smallest element of x0.lub.
// if x1 < than that, then entailed.
{
unsigned int n = x0.cardMin();
int nth_smallest = BndSet::MIN_OF_EMPTY;
for (LubRanges<View> ur(x0); ur(); ++ur) {
if (ur.width() >= n) {
// record it and exit the loop
nth_smallest = static_cast<int>(ur.min() + n - 1);
break;
}
// otherwise, we skipped ur.width() values
n -= ur.width();
}
// if x1.max < nth_smallest, then entailed
if (x1.max() < nth_smallest)
return home.ES_SUBSUMED(*this);
}
return ES_FIX;
}
template<class View, ReifyMode rm>
forceinline
ReMaxElement<View,rm>::ReMaxElement(Home home, View y0,
Gecode::Int::IntView y1,
Gecode::Int::BoolView b2)
: Gecode::Int::ReMixBinaryPropagator<View,PC_SET_ANY,
Gecode::Int::IntView,Gecode::Int::PC_INT_DOM,
Gecode::Int::BoolView> (home, y0, y1, b2) {}
template<class View, ReifyMode rm>
forceinline
ReMaxElement<View,rm>::ReMaxElement(Space& home, bool share,
ReMaxElement& p)
: Gecode::Int::ReMixBinaryPropagator<View,PC_SET_ANY,
Gecode::Int::IntView,Gecode::Int::PC_INT_DOM,
Gecode::Int::BoolView> (home, share, p) {}
template<class View, ReifyMode rm>
ExecStatus
ReMaxElement<View,rm>::post(Home home, View x0,
Gecode::Int::IntView x1,
Gecode::Int::BoolView b2) {
(void) new (home) ReMaxElement(home,x0,x1,b2);
return ES_OK;
}
template<class View, ReifyMode rm>
Actor*
ReMaxElement<View,rm>::copy(Space& home, bool share) {
return new (home) ReMaxElement(home,share,*this);
}
template<class View, ReifyMode rm>
ExecStatus
ReMaxElement<View,rm>::propagate(Space& home, const ModEventDelta&) {
// check if b is determined
if (b.one()) {
if (rm == RM_PMI)
return home.ES_SUBSUMED(*this);
GECODE_REWRITE(*this, (MaxElement<View>::post(home(*this),x0,x1)));
}
if (b.zero()) {
if (rm == RM_IMP)
return home.ES_SUBSUMED(*this);
GECODE_REWRITE(*this, (NotMaxElement<View>::post(home(*this),x0,x1)));
}
// cheap tests for => b=0
// if x0 is empty, then b=0 and entailed
// if max(x1) < min(x0.lub) or min(x1) > max(x0.lub), then b=0 and entailed
// if max(x0.glb) > max(x1), then b=0 and entailed
if ((x0.cardMax() == 0) ||
((x1.max() < x0.lubMin()) || (x1.min() > x0.lubMax())) ||
((x0.glbSize() > 0) && (x0.glbMax() > x1.max())))
{
if (rm != RM_PMI)
GECODE_ME_CHECK(b.zero(home));
return home.ES_SUBSUMED(*this);
}
// if max(x0) is decided
if (x0.glbMax() == x0.lubMax()) {
// if x1 is det: check if = max(x0), assign b, entailed
if (x1.assigned()) {
if (x1.val() == x0.glbMax()) {
if (rm != RM_IMP)
GECODE_ME_CHECK(b.one(home));
} else {
if (rm != RM_PMI)
GECODE_ME_CHECK(b.zero(home));
}
return home.ES_SUBSUMED(*this);
}
// if max(x0) not in dom(x1): b=0, entailed
else if ((x0.glbMax() < x1.min()) ||
(x0.glbMax() > x1.max()) ||
!x1.in(x0.glbMax()))
{
if (rm != RM_PMI)
GECODE_ME_CHECK(b.zero(home));
return home.ES_SUBSUMED(*this);
}
}
// if dom(x1) and lub(x0) are disjoint, then b=0, entailed
{
LubRanges<View> ub(x0);
Gecode::Int::ViewRanges<Gecode::Int::IntView> d(x1);
Gecode::Iter::Ranges::Inter<LubRanges<View>,
Gecode::Int::ViewRanges<Gecode::Int::IntView> > ir(ub,d);
if (!ir()) {
if (rm != RM_PMI)
GECODE_ME_CHECK(b.zero(home));
return home.ES_SUBSUMED(*this);
}
}
// x0 is fated to eventually contain at least x0.cardMin elements.
// therefore max(x0) >= x0.cardMin-th smallest element of x0.lub.
// if x1 < than that, then b=0, entailed.
{
unsigned int n = x0.cardMin();
int nth_smallest = BndSet::MIN_OF_EMPTY;
for (LubRanges<View> ur(x0); ur(); ++ur) {
if (ur.width() >= n)
{
// record it and exit the loop
nth_smallest = static_cast<int>(ur.min() + n - 1);
break;
}
// otherwise, we skipped ur.width() values
n -= ur.width();
}
// if x1.max < nth_smallest, then entailed
if (x1.max() < nth_smallest) {
if (rm != RM_PMI)
GECODE_ME_CHECK(b.zero(home));
return home.ES_SUBSUMED(*this);
}
}
return ES_FIX;
}
}}}
// STATISTICS: set-prop
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