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on-restart-benchmarks/test/int/arithmetic.cpp
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C++

/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
* Main authors:
* Christian Schulte <schulte@gecode.org>
*
* Copyright:
* Christian Schulte, 2005
*
* 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 "test/int.hh"
#include <cmath>
#include <algorithm>
#include <gecode/minimodel.hh>
namespace Test { namespace Int {
/// %Tests for arithmetic constraints
namespace Arithmetic {
/**
* \defgroup TaskTestIntArithmetic Arithmetic constraints
* \ingroup TaskTestInt
*/
//@{
/// %Test for multiplication constraint
class MultXYZ : public Test {
public:
/// Create and register test
MultXYZ(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Mult::XYZ::"+str(ipl)+"::"+s,3,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
double d1 = static_cast<double>(x[1]);
double d2 = static_cast<double>(x[2]);
return d0*d1 == d2;
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::mult(home, x[0], x[1], x[2], ipl);
}
};
/// %Test for multiplication constraint with shared variables
class MultXXY : public Test {
public:
/// Create and register test
MultXXY(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Mult::XXY::"+str(ipl)+"::"+s,2,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
double d1 = static_cast<double>(x[0]);
double d2 = static_cast<double>(x[1]);
return d0*d1 == d2;
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::mult(home, x[0], x[0], x[1], ipl);
}
};
/// %Test for multiplication constraint with shared variables
class MultXYX : public Test {
public:
/// Create and register test
MultXYX(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Mult::XYX::"+str(ipl)+"::"+s,2,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
double d1 = static_cast<double>(x[1]);
double d2 = static_cast<double>(x[0]);
return d0*d1 == d2;
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::mult(home, x[0], x[1], x[0], ipl);
}
};
/// %Test for multiplication constraint with shared variables
class MultXYY : public Test {
public:
/// Create and register test
MultXYY(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Mult::XYY::"+str(ipl)+"::"+s,2,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
double d1 = static_cast<double>(x[1]);
double d2 = static_cast<double>(x[1]);
return d0*d1 == d2;
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::mult(home, x[0], x[1], x[1], ipl);
}
};
/// %Test for multiplication constraint with shared variables
class MultXXX : public Test {
public:
/// Create and register test
MultXXX(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Mult::XXX::"+str(ipl)+"::"+s,1,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
double d1 = static_cast<double>(x[0]);
double d2 = static_cast<double>(x[0]);
return d0*d1 == d2;
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::mult(home, x[0], x[0], x[0], ipl);
}
};
/// %Test for squaring constraint
class SqrXY : public Test {
public:
/// Create and register test
SqrXY(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Sqr::XY::"+str(ipl)+"::"+s,2,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
double d1 = static_cast<double>(x[1]);
return d0*d0 == d1;
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::sqr(home, x[0], x[1], ipl);
}
};
/// %Test for squaring constraint with shared variables
class SqrXX : public Test {
public:
/// Create and register test
SqrXX(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Sqr::XX::"+str(ipl)+"::"+s,1,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
return d0*d0 == d0;
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::sqr(home, x[0], x[0], ipl);
}
};
/// %Test for square root constraint
class SqrtXY : public Test {
public:
/// Create and register test
SqrtXY(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Sqrt::XY::"+str(ipl)+"::"+s,2,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
double d1 = static_cast<double>(x[1]);
return (d0 >= 0) && (d0 >= d1*d1) && (d0 < (d1+1)*(d1+1));
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::sqrt(home, x[0], x[1], ipl);
}
};
/// %Test for square root constraint with shared variables
class SqrtXX : public Test {
public:
/// Create and register test
SqrtXX(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Sqrt::XX::"+str(ipl)+"::"+s,1,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
return (d0 >= 0) && (d0 >= d0*d0) && (d0 < (d0+1)*(d0+1));
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::sqrt(home, x[0], x[0], ipl);
}
};
/// %Test for power constraint
class PowXY : public Test {
protected:
/// The exponent
int n;
public:
/// Create and register test
PowXY(const std::string& s, int n0, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Pow::XY::"+str(n0)+"::"+str(ipl)+"::"+s,
2,d,false,ipl), n(n0) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
long long int p = 1;
for (int i=0; i<n; i++) {
p *= x[0];
if ((p < Gecode::Int::Limits::min) ||
(p > Gecode::Int::Limits::max))
return false;
}
return p == x[1];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
using namespace Gecode;
if (n > 4)
pow(home, x[0], n, x[1], ipl);
else
rel(home, expr(home, pow(x[0],n), ipl), IRT_EQ, x[1], ipl);
}
};
/// %Test for power constraint with shared variables
class PowXX : public Test {
protected:
/// The exponent
int n;
public:
/// Create and register test
PowXX(const std::string& s, int n0, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Pow::XX::"+str(n0)+"::"+str(ipl)+"::"+s,
1,d,false,ipl), n(n0) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
long long int p = 1;
for (int i=0; i<n; i++) {
p *= x[0];
if ((p < Gecode::Int::Limits::min) ||
(p > Gecode::Int::Limits::max))
return false;
}
return p == x[0];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::pow(home, x[0], n, x[0], ipl);
}
};
bool powgr(int n, long long int r, int x) {
assert(r >= 0);
long long int y = r;
long long int p = 1;
do {
p *= y; n--;
if (p > x)
return true;
} while (n > 0);
return false;
}
int fnroot(int n, int x) {
if (x < 2)
return x;
/*
* We look for l such that: l^n <= x < (l+1)^n
*/
long long int l = 1;
long long int u = x;
do {
long long int m = (l + u) >> 1;
if (powgr(n,m,x)) u=m; else l=m;
} while (l+1 < u);
return static_cast<int>(l);
}
bool powle(int n, long long int r, int x) {
assert(r >= 0);
long long int y = r;
long long int p = 1;
do {
p *= y; n--;
if (p >= x)
return false;
} while (n > 0);
assert(y < x);
return true;
}
int cnroot(int n, int x) {
if (x < 2)
return x;
/*
* We look for u such that: (u-1)^n < x <= u^n
*/
long long int l = 1;
long long int u = x;
do {
long long int m = (l + u) >> 1;
if (powle(n,m,x)) l=m; else u=m;
} while (l+1 < u);
return static_cast<int>(u);
}
/// %Test for nroot constraint
class NrootXY : public Test {
protected:
/// The root index
int n;
/// Floor
public:
/// Create and register test
NrootXY(const std::string& s, int n0, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Nroot::XY::"+str(n0)+"::"+str(ipl)+"::"+s,
2,d,false,ipl), n(n0) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
if (n == 1)
return x[0] == x[1];
if ((n % 2 == 0) && ((x[0] < 0) || (x[1] < 0)))
return false;
int r = (x[0] < 0) ? -cnroot(n,-x[0]) : fnroot(n,x[0]);
return r == x[1];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
using namespace Gecode;
if (n > 4)
nroot(home, x[0], n, x[1], ipl);
else
rel(home, expr(home, nroot(x[0],n), ipl), IRT_EQ, x[1], ipl);
}
};
/// %Test for nroot constraint with shared variables
class NrootXX : public Test {
protected:
/// The root index
int n;
public:
/// Create and register test
NrootXX(const std::string& s, int n0, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Nroot::XX::"+str(n0)+"::"+str(ipl)+"::"+s,
1,d,false,ipl), n(n0) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
if (n == 1)
return true;
if (n % 2 == 0) {
return (x[0] >= 0) && (x[0] <= 1);
} else {
return (x[0] >= -2) && (x[0] <= 1);
}
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::nroot(home, x[0], n, x[0], ipl);
}
};
/// %Test for division/modulo constraint
class DivMod : public Test {
private:
/// Return the absolute value of \a a
static int abs(int a) { return a<0 ? -a:a; }
/// Return the sign of \a a
static int sgn(int a) { return a<0 ? -1:1; }
public:
/// Create and register test
DivMod(const std::string& s, const Gecode::IntSet& d)
: Test("Arithmetic::DivMod::"+s,4,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return x[0] == x[1]*x[2]+x[3] &&
abs(x[3]) < abs(x[1]) &&
(x[3] == 0 || sgn(x[3]) == sgn(x[0]));
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::divmod(home, x[0], x[1], x[2], x[3]);
}
};
/// %Test for division constraint
class Div : public Test {
public:
/// Create and register test
Div(const std::string& s, const Gecode::IntSet& d)
: Test("Arithmetic::Div::"+s,3,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
if (x[1] == 0)
return false;
int divsign = (x[0] / x[1] < 0) ? -1 : 1;
int divresult =
divsign *
static_cast<int>(floor(static_cast<double>(std::abs(x[0]))/
static_cast<double>(std::abs(x[1]))));
return x[2] == divresult;
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::div(home, x[0], x[1], x[2]);
}
};
/// %Test for modulo constraint
class Mod : public Test {
public:
/// Create and register test
Mod(const std::string& s, const Gecode::IntSet& d)
: Test("Arithmetic::Mod::"+s,3,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
if (x[1] == 0)
return false;
int divsign = (x[0] / x[1] < 0) ? -1 : 1;
int divresult =
divsign *
static_cast<int>(floor(static_cast<double>(std::abs(x[0]))/
static_cast<double>(std::abs(x[1]))));
return x[0] == x[1]*divresult+x[2];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::mod(home, x[0], x[1], x[2]);
}
};
/// %Test for absolute value constraint
class AbsXY : public Test {
public:
/// Create and register test
AbsXY(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Abs::XY::"+str(ipl)+"::"+s,2,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
double d1 = static_cast<double>(x[1]);
return (d0<0 ? -d0 : d0) == d1;
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::abs(home, x[0], x[1], ipl);
}
};
/// %Test for absolute value constraint with shared variables
class AbsXX : public Test {
public:
/// Create and register test
AbsXX(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Abs::XX::"+str(ipl)+"::"+s,1,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
double d0 = static_cast<double>(x[0]);
double d1 = static_cast<double>(x[0]);
return (d0<0 ? -d0 : d0) == d1;
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::abs(home, x[0], x[0], ipl);
}
};
/// %Test for binary minimum constraint
class MinXYZ : public Test {
public:
/// Create and register test
MinXYZ(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Min::Bin::XYZ::"+str(ipl)+"::"+s,3,d,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::min(x[0],x[1]) == x[2];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::min(home, x[0], x[1], x[2], ipl);
}
};
/// %Test for binary minimum constraint with shared variables
class MinXXY : public Test {
public:
/// Create and register test
MinXXY(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Min::Bin::XYX::"+str(ipl)+"::"+s,2,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::min(x[0],x[0]) == x[1];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::min(home, x[0], x[0], x[1], ipl);
}
};
/// %Test for binary minimum constraint with shared variables
class MinXYX : public Test {
public:
/// Create and register test
MinXYX(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Min::Bin::XYX::"+str(ipl)+"::"+s,2,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::min(x[0],x[1]) == x[0];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::min(home, x[0], x[1], x[0], ipl);
}
};
/// %Test for binary minimum constraint with shared variables
class MinXYY : public Test {
public:
/// Create and register test
MinXYY(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Min::Bin::XYY::"+str(ipl)+"::"+s,2,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::min(x[0],x[1]) == x[1];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::min(home, x[0], x[1], x[1], ipl);
}
};
/// %Test for binary minimum constraint with shared variables
class MinXXX : public Test {
public:
/// Create and register test
MinXXX(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Min::Bin::XXX::"+str(ipl)+"::"+s,1,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::min(x[0],x[0]) == x[0];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::min(home, x[0], x[0], x[0], ipl);
}
};
/// %Test for binary maximum constraint
class MaxXYZ : public Test {
public:
/// Create and register test
MaxXYZ(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Max::Bin::XYZ::"+str(ipl)+"::"+s,3,d) {
contest = CTL_BOUNDS_Z;
}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::max(x[0],x[1]) == x[2];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::max(home, x[0], x[1], x[2], ipl);
}
};
/// %Test for binary maximum constraint with shared variables
class MaxXXY : public Test {
public:
/// Create and register test
MaxXXY(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Max::Bin::XXY::"+str(ipl)+"::"+s,2,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::max(x[0],x[0]) == x[1];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::max(home, x[0], x[0], x[1], ipl);
}
};
/// %Test for binary maximum constraint with shared variables
class MaxXYX : public Test {
public:
/// Create and register test
MaxXYX(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Max::Bin::XYX::"+str(ipl)+"::"+s,2,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::max(x[0],x[1]) == x[0];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::max(home, x[0], x[1], x[0], ipl);
}
};
/// %Test for binary maximum constraint with shared variables
class MaxXYY : public Test {
public:
/// Create and register test
MaxXYY(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Max::Bin::XYY::"+str(ipl)+"::"+s,2,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::max(x[0],x[1]) == x[1];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::max(home, x[0], x[1], x[1], ipl);
}
};
/// %Test for binary maximum constraint with shared variables
class MaxXXX : public Test {
public:
/// Create and register test
MaxXXX(const std::string& s, const Gecode::IntSet& d,
Gecode::IntPropLevel ipl)
: Test("Arithmetic::Max::Bin::XXX::"+str(ipl)+"::"+s,1,d) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::max(x[0],x[0]) == x[0];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::max(home, x[0], x[0], x[0], ipl);
}
};
/// %Test for n-ary minimmum constraint
class MinNary : public Test {
public:
/// Create and register test
MinNary(Gecode::IntPropLevel ipl)
: Test("Arithmetic::Min::Nary::"+str(ipl),4,-4,4,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::min(std::min(x[0],x[1]), x[2]) == x[3];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::IntVarArgs m(3);
m[0]=x[0]; m[1]=x[1]; m[2]=x[2];
Gecode::min(home, m, x[3], ipl);
}
};
/// %Test for n-ary minimmum constraint with shared variables
class MinNaryShared : public Test {
public:
/// Create and register test
MinNaryShared(Gecode::IntPropLevel ipl)
: Test("Arithmetic::Min::Nary::Shared::"+str(ipl),3,-4,4,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::min(std::min(x[0],x[1]), x[2]) == x[1];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::IntVarArgs m(3);
m[0]=x[0]; m[1]=x[1]; m[2]=x[2];
Gecode::min(home, m, x[1], ipl);
}
};
/// %Test for n-ary maximum constraint
class MaxNary : public Test {
public:
/// Create and register test
MaxNary(Gecode::IntPropLevel ipl)
: Test("Arithmetic::Max::Nary::"+str(ipl),4,-4,4,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::max(std::max(x[0],x[1]), x[2]) == x[3];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::IntVarArgs m(3);
m[0]=x[0]; m[1]=x[1]; m[2]=x[2];
Gecode::max(home, m, x[3], ipl);
}
};
/// %Test for n-ary maximum constraint with shared variables
class MaxNaryShared : public Test {
public:
/// Create and register test
MaxNaryShared(Gecode::IntPropLevel ipl)
: Test("Arithmetic::Max::Nary::Shared::"+str(ipl),3,-4,4,false,ipl) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
return std::max(std::max(x[0],x[1]), x[2]) == x[1];
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
Gecode::IntVarArgs m(3);
m[0]=x[0]; m[1]=x[1]; m[2]=x[2];
Gecode::max(home, m, x[1], ipl);
}
};
/// %Test for argument maximum constraint
class ArgMax : public Test {
protected:
/// Offset to be used
int offset;
/// Whether to use tie-breaking
bool tiebreak;
public:
/// Create and register test
ArgMax(int n, int o, bool tb)
: Test("Arithmetic::ArgMax::"+str(o)+"::"+str(tb)+"::"+str(n),
n+1,0,n+1,
false,tb ? Gecode::IPL_DEF : Gecode::IPL_DOM),
offset(o), tiebreak(tb) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
int n=x.size()-1;
if ((x[n] < offset) || (x[n] >= n + offset))
return false;
int m=x[0]; int p=0;
for (int i=1; i<n; i++)
if (x[i] > m) {
p=i; m=x[i];
}
return tiebreak ? (p + offset == x[n]) : (m == x[x[n]-offset]);
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
int n=x.size()-1;
Gecode::IntVarArgs m(n);
for (int i=0; i<n; i++)
m[i]=x[i];
Gecode::argmax(home, m, offset, x[n], tiebreak);
}
};
/// %Test for argument maximum constraint with shared variables
class ArgMaxShared : public Test {
protected:
/// Whether to use tie-breaking
bool tiebreak;
public:
/// Create and register test
ArgMaxShared(int n, bool tb)
: Test("Arithmetic::ArgMax::Shared::"+str(tb)+"::"+str(n),n+1,0,n+1,
false),
tiebreak(tb) {
testfix=false;
}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
int n=x.size()-1;
if ((x[n] < 0) || (x[n] >= 2*n))
return false;
Gecode::IntArgs y(2*n);
for (int i=0; i<n; i++)
y[2*i+0]=y[2*i+1]=x[i];
int m=y[0]; int p=0;
for (int i=1; i<2*n; i++)
if (y[i] > m) {
p=i; m=y[i];
}
return tiebreak ? (p == x[n]) : (m == y[x[n]]);
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
int n=x.size()-1;
Gecode::IntVarArgs m(2*n);
for (int i=0; i<n; i++)
m[2*i+0]=m[2*i+1]=x[i];
Gecode::argmax(home, m, x[n], tiebreak);
}
};
/// %Test for argument minimum constraint
class ArgMin : public Test {
protected:
/// Which offset to use
int offset;
/// Whether to use tie-breaking
bool tiebreak;
public:
/// Create and register test
ArgMin(int n, int o, bool tb)
: Test("Arithmetic::ArgMin::"+str(o)+"::"+str(tb)+"::"+str(n),
n+1,0,n+1,
false,tb ? Gecode::IPL_DEF : Gecode::IPL_DOM),
offset(o), tiebreak(tb) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
int n=x.size()-1;
if ((x[n] < offset) || (x[n] >= n + offset))
return false;
int m=x[0]; int p=0;
for (int i=1; i<n; i++)
if (x[i] < m) {
p=i; m=x[i];
}
return tiebreak ? (p+offset == x[n]) : (m == x[x[n]-offset]);
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
int n=x.size()-1;
Gecode::IntVarArgs m(n);
for (int i=0; i<n; i++)
m[i]=x[i];
Gecode::argmin(home, m, offset, x[n], tiebreak);
}
};
/// %Test for argument minimum constraint with shared variables
class ArgMinShared : public Test {
protected:
/// Whether to use tie-breaking
bool tiebreak;
public:
/// Create and register test
ArgMinShared(int n, bool tb)
: Test("Arithmetic::ArgMin::Shared::"+str(tb)+"::"+str(n),n+1,0,n+1,
false),
tiebreak(tb) {
testfix=false;
}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
int n=x.size()-1;
if ((x[n] < 0) || (x[n] >= 2*n))
return false;
Gecode::IntArgs y(2*n);
for (int i=0; i<n; i++)
y[2*i+0]=y[2*i+1]=x[i];
int m=y[0]; int p=0;
for (int i=1; i<2*n; i++)
if (y[i] < m) {
p=i; m=y[i];
}
return tiebreak ? (p == x[n]) : (m == y[x[n]]);
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
int n=x.size()-1;
Gecode::IntVarArgs m(2*n);
for (int i=0; i<n; i++)
m[2*i+0]=m[2*i+1]=x[i];
Gecode::argmin(home, m, x[n], tiebreak);
}
};
/// %Test for Boolean argument maximum constraint
class ArgMaxBool : public Test {
protected:
/// Offset to be used
int offset;
/// Whether to use tie-breaking
bool tiebreak;
public:
/// Create and register test
ArgMaxBool(int n, int o, bool tb)
: Test("Arithmetic::ArgMaxBool::"+str(o)+"::"+str(tb)+"::"+str(n),
n+1,0,n+1,
false,tb ? Gecode::IPL_DEF : Gecode::IPL_DOM),
offset(o), tiebreak(tb) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
int n=x.size()-1;
if ((x[n] < offset) || (x[n] >= n + offset))
return false;
int m=x[0]; int p=0;
if (x[0] > 1)
return false;
for (int i=1; i<n; i++) {
if (x[i] > 1)
return false;
if (x[i] > m) {
p=i; m=x[i];
}
}
return tiebreak ? (p + offset == x[n]) : (m == x[x[n]-offset]);
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
int n=x.size()-1;
Gecode::BoolVarArgs m(n);
for (int i=0; i<n; i++)
m[i]=channel(home,x[i]);
Gecode::argmax(home, m, offset, x[n], tiebreak);
}
};
/// %Test for argument maximum constraint with shared variables
class ArgMaxBoolShared : public Test {
protected:
/// Whether to use tie-breaking
bool tiebreak;
public:
/// Create and register test
ArgMaxBoolShared(int n, bool tb)
: Test("Arithmetic::ArgMaxBool::Shared::"+str(tb)+"::"+str(n),n+1,0,n+1,
false),
tiebreak(tb) {
testfix=false;
}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
int n=x.size()-1;
if ((x[n] < 0) || (x[n] >= 2*n))
return false;
Gecode::IntArgs y(2*n);
for (int i=0; i<n; i++)
y[2*i+0]=y[2*i+1]=x[i];
int m=y[0]; int p=0;
if (y[0] > 1)
return false;
for (int i=1; i<2*n; i++) {
if (y[i] > 1)
return false;
if (y[i] > m) {
p=i; m=y[i];
}
}
return tiebreak ? (p == x[n]) : (m == y[x[n]]);
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
int n=x.size()-1;
Gecode::BoolVarArgs m(2*n);
for (int i=0; i<n; i++)
m[2*i+0]=m[2*i+1]=channel(home,x[i]);
Gecode::argmax(home, m, x[n], tiebreak);
}
};
/// %Test for argument minimum constraint
class ArgMinBool : public Test {
protected:
/// Which offset to use
int offset;
/// Whether to use tie-breaking
bool tiebreak;
public:
/// Create and register test
ArgMinBool(int n, int o, bool tb)
: Test("Arithmetic::ArgMinBool::"+str(o)+"::"+str(tb)+"::"+str(n),
n+1,0,n+1,
false,tb ? Gecode::IPL_DEF : Gecode::IPL_DOM),
offset(o), tiebreak(tb) {}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
int n=x.size()-1;
if ((x[n] < offset) || (x[n] >= n + offset))
return false;
int m=x[0]; int p=0;
if (x[0] < 0 || x[0] > 1)
return false;
for (int i=1; i<n; i++) {
if (x[i] < 0 || x[i] > 1)
return false;
if (x[i] < m) {
p=i; m=x[i];
}
}
return tiebreak ? (p+offset == x[n]) : (m == x[x[n]-offset]);
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
int n=x.size()-1;
Gecode::BoolVarArgs m(n);
for (int i=0; i<n; i++)
m[i]=channel(home,x[i]);
Gecode::argmin(home, m, offset, x[n], tiebreak);
}
};
/// %Test for argument minimum constraint with shared variables
class ArgMinBoolShared : public Test {
protected:
/// Whether to use tie-breaking
bool tiebreak;
public:
/// Create and register test
ArgMinBoolShared(int n, bool tb)
: Test("Arithmetic::ArgMinBool::Shared::"+str(tb)+"::"+str(n),n+1,0,n+1,
false),
tiebreak(tb) {
testfix=false;
}
/// %Test whether \a x is solution
virtual bool solution(const Assignment& x) const {
int n=x.size()-1;
if ((x[n] < 0) || (x[n] >= 2*n))
return false;
Gecode::IntArgs y(2*n);
for (int i=0; i<n; i++)
y[2*i+0]=y[2*i+1]=x[i];
int m=y[0]; int p=0;
if (y[0] > 1)
return false;
for (int i=1; i<2*n; i++) {
if (y[i] > 1)
return false;
if (y[i] < m) {
p=i; m=y[i];
}
}
return tiebreak ? (p == x[n]) : (m == y[x[n]]);
}
/// Post constraint on \a x
virtual void post(Gecode::Space& home, Gecode::IntVarArray& x) {
int n=x.size()-1;
Gecode::BoolVarArgs m(2*n);
for (int i=0; i<n; i++)
m[2*i+0]=m[2*i+1]=channel(home,x[i]);
Gecode::argmin(home, m, x[n], tiebreak);
}
};
/// Help class to create and register tests
class Create {
public:
/// Perform creation and registration
Create(void) {
const int va[7] = {
Gecode::Int::Limits::min, Gecode::Int::Limits::min+1,
-1,0,1,
Gecode::Int::Limits::max-1, Gecode::Int::Limits::max
};
const int vb[9] = {
static_cast<int>(-sqrt(static_cast<double>
(-Gecode::Int::Limits::min))),
-4,-2,-1,0,1,2,4,
static_cast<int>(sqrt(static_cast<double>
(Gecode::Int::Limits::max)))
};
Gecode::IntSet a(va,7);
Gecode::IntSet b(vb,9);
Gecode::IntSet c(-8,8);
Gecode::IntSet d(-70,70);
(void) new DivMod("A",a);
(void) new DivMod("B",b);
(void) new DivMod("C",c);
(void) new Div("A",a);
(void) new Div("B",b);
(void) new Div("C",c);
(void) new Mod("A",a);
(void) new Mod("B",b);
(void) new Mod("C",c);
for (IntPropLevels ipls; ipls(); ++ipls) {
(void) new AbsXY("A",a,ipls.ipl());
(void) new AbsXY("B",b,ipls.ipl());
(void) new AbsXY("C",c,ipls.ipl());
(void) new AbsXX("A",a,ipls.ipl());
(void) new AbsXX("B",b,ipls.ipl());
(void) new AbsXX("C",c,ipls.ipl());
if (ipls.ipl() != Gecode::IPL_VAL) {
(void) new MultXYZ("A",a,ipls.ipl());
(void) new MultXYZ("B",b,ipls.ipl());
(void) new MultXYZ("C",c,ipls.ipl());
(void) new MultXXY("A",a,ipls.ipl());
(void) new MultXXY("B",b,ipls.ipl());
(void) new MultXXY("C",c,ipls.ipl());
(void) new MultXYX("A",a,ipls.ipl());
(void) new MultXYX("B",b,ipls.ipl());
(void) new MultXYX("C",c,ipls.ipl());
(void) new MultXYY("A",a,ipls.ipl());
(void) new MultXYY("B",b,ipls.ipl());
(void) new MultXYY("C",c,ipls.ipl());
(void) new MultXXX("A",a,ipls.ipl());
(void) new MultXXX("B",b,ipls.ipl());
(void) new MultXXX("C",c,ipls.ipl());
(void) new SqrXY("A",a,ipls.ipl());
(void) new SqrXY("B",b,ipls.ipl());
(void) new SqrXY("C",c,ipls.ipl());
(void) new SqrXX("A",a,ipls.ipl());
(void) new SqrXX("B",b,ipls.ipl());
(void) new SqrXX("C",c,ipls.ipl());
for (int n=0; n<=6; n++) {
(void) new PowXY("A",n,a,ipls.ipl());
(void) new PowXY("B",n,b,ipls.ipl());
(void) new PowXY("C",n,c,ipls.ipl());
(void) new PowXY("D",n,d,ipls.ipl());
(void) new PowXX("A",n,a,ipls.ipl());
(void) new PowXX("B",n,b,ipls.ipl());
(void) new PowXX("C",n,c,ipls.ipl());
(void) new PowXX("D",n,d,ipls.ipl());
}
for (int n=1; n<=6; n++) {
(void) new NrootXY("A",n,a,ipls.ipl());
(void) new NrootXY("B",n,b,ipls.ipl());
(void) new NrootXY("C",n,c,ipls.ipl());
(void) new NrootXY("D",n,d,ipls.ipl());
(void) new NrootXX("A",n,a,ipls.ipl());
(void) new NrootXX("B",n,b,ipls.ipl());
(void) new NrootXX("C",n,c,ipls.ipl());
(void) new NrootXX("D",n,d,ipls.ipl());
}
for (int n=30; n<=34; n++) {
(void) new PowXY("C",n,c,ipls.ipl());
(void) new PowXX("C",n,c,ipls.ipl());
(void) new NrootXY("C",n,c,ipls.ipl());
(void) new NrootXX("C",n,c,ipls.ipl());
}
(void) new SqrtXY("A",a,ipls.ipl());
(void) new SqrtXY("B",b,ipls.ipl());
(void) new SqrtXY("C",c,ipls.ipl());
(void) new SqrtXX("A",a,ipls.ipl());
(void) new SqrtXX("B",b,ipls.ipl());
(void) new SqrtXX("C",c,ipls.ipl());
(void) new MinXYZ("A",a,ipls.ipl());
(void) new MinXYZ("B",b,ipls.ipl());
(void) new MinXYZ("C",c,ipls.ipl());
(void) new MinXXY("A",a,ipls.ipl());
(void) new MinXXY("B",b,ipls.ipl());
(void) new MinXXY("C",c,ipls.ipl());
(void) new MinXYX("A",a,ipls.ipl());
(void) new MinXYX("B",b,ipls.ipl());
(void) new MinXYX("C",c,ipls.ipl());
(void) new MinXYY("A",a,ipls.ipl());
(void) new MinXYY("B",b,ipls.ipl());
(void) new MinXYY("C",c,ipls.ipl());
(void) new MinXXX("A",a,ipls.ipl());
(void) new MinXXX("B",b,ipls.ipl());
(void) new MinXXX("C",c,ipls.ipl());
(void) new MaxXYZ("A",a,ipls.ipl());
(void) new MaxXYZ("B",b,ipls.ipl());
(void) new MaxXYZ("C",c,ipls.ipl());
(void) new MaxXXY("A",a,ipls.ipl());
(void) new MaxXXY("B",b,ipls.ipl());
(void) new MaxXXY("C",c,ipls.ipl());
(void) new MaxXYX("A",a,ipls.ipl());
(void) new MaxXYX("B",b,ipls.ipl());
(void) new MaxXYX("C",c,ipls.ipl());
(void) new MaxXYY("A",a,ipls.ipl());
(void) new MaxXYY("B",b,ipls.ipl());
(void) new MaxXYY("C",c,ipls.ipl());
(void) new MaxXXX("A",a,ipls.ipl());
(void) new MaxXXX("B",b,ipls.ipl());
(void) new MaxXXX("C",c,ipls.ipl());
(void) new MinNary(ipls.ipl());
(void) new MinNaryShared(ipls.ipl());
(void) new MaxNary(ipls.ipl());
(void) new MaxNaryShared(ipls.ipl());
}
}
for (int i=1; i<5; i++) {
(void) new ArgMax(i,0,true);
(void) new ArgMax(i,1,true);
(void) new ArgMaxShared(i,true);
(void) new ArgMin(i,0,true);
(void) new ArgMin(i,1,true);
(void) new ArgMinShared(i,true);
(void) new ArgMax(i,0,false);
(void) new ArgMax(i,1,false);
(void) new ArgMaxShared(i,false);
(void) new ArgMin(i,0,false);
(void) new ArgMin(i,1,false);
(void) new ArgMinShared(i,false);
(void) new ArgMaxBool(i,0,true);
(void) new ArgMaxBool(i,1,true);
(void) new ArgMaxBoolShared(i,true);
(void) new ArgMinBool(i,0,true);
(void) new ArgMinBool(i,1,true);
(void) new ArgMinBoolShared(i,true);
(void) new ArgMaxBool(i,0,false);
(void) new ArgMaxBool(i,1,false);
(void) new ArgMaxBoolShared(i,false);
(void) new ArgMinBool(i,0,false);
(void) new ArgMinBool(i,1,false);
(void) new ArgMinBoolShared(i,false);
}
}
};
Create c;
//@}
}
}}
// STATISTICS: test-int