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/*
* SOLID - Software Library for Interference Detection
*
* Copyright (C) 2001-2003 Dtecta. All rights reserved.
*
* This library may be distributed under the terms of the Q Public License
* (QPL) as defined by Trolltech AS of Norway and appearing in the file
* LICENSE.QPL included in the packaging of this file.
*
* This library may be distributed and/or modified under the terms of the
* GNU General Public License (GPL) version 2 as published by the Free Software
* Foundation and appearing in the file LICENSE.GPL included in the
* packaging of this file.
*
* This library is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
* WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
*
* Commercial use or any other use of this library not covered by either
* the QPL or the GPL requires an additional license from Dtecta.
* Please contact info@dtecta.com for enquiries about the terms of commercial
* use of this library.
*/
#ifndef INTERVAL_H
#define INTERVAL_H
#if defined (__sgi)
#include <assert.h>
#else
#include <cassert>
#endif
#include <iostream>
#include <algorithm>
namespace MT {
template <typename Scalar>
class Interval {
public:
Interval() {}
#if _MSC_VER <= 1200
explicit Interval(const Scalar& x)
: m_lb(x), m_ub(x)
{}
Interval(const Scalar& lb, const Scalar& ub)
: m_lb(lb), m_ub(ub)
{
assert(lb <= ub);
}
#else
template <typename Scalar2>
explicit Interval(const Scalar2& x)
: m_lb(x), m_ub(x)
{}
template <typename Scalar2>
Interval(const Scalar2& lb, const Scalar2& ub)
: m_lb(lb), m_ub(ub)
{
assert(lb <= ub);
}
template <typename Scalar2>
Interval(const Interval<Scalar2>& z)
{
*this = z;
}
template <typename Scalar2>
Interval<Scalar>& operator=(const Interval<Scalar2>& z)
{
m_lb = Scalar(z.lower());
m_ub = Scalar(z.upper());
return *this;
}
#endif
Scalar& lower() { return m_lb; }
const Scalar& lower() const { return m_lb; }
Scalar& upper() { return m_ub; }
const Scalar& upper() const { return m_ub; }
Scalar center() const { return (m_lb + m_ub) * Scalar(0.5); }
Scalar extent() const { return (m_ub - m_lb) * Scalar(0.5); }
protected:
Scalar m_lb, m_ub;
};
template <typename Scalar>
inline Interval<Scalar>
operator+(const Interval<Scalar>& z1, const Interval<Scalar>& z2)
{
return Interval<Scalar>(z1.lower() + z2.lower(),
z1.upper() + z2.upper());
}
template <typename Scalar>
inline Interval<Scalar>
operator-(const Interval<Scalar>& z1, const Interval<Scalar>& z2)
{
return Interval<Scalar>(z1.lower() - z2.upper(),
z1.upper() - z2.lower());
}
template <typename Scalar>
inline std::ostream&
operator<<(std::ostream& os, const Interval<Scalar>& z)
{
return os << '[' << z.lower() << ", " << z.upper() << ']';
}
template <typename Scalar>
inline Scalar
median(const Interval<Scalar>& z)
{
return (z.lower() + z.upper()) * Scalar(0.5);
}
template <typename Scalar>
inline Scalar
width(const Interval<Scalar>& z)
{
return z.upper() - z.lower();
}
template <typename Scalar>
inline bool
overlap(const Interval<Scalar>& z1, const Interval<Scalar>& z2)
{
return z1.lower() <= z2.upper() && z2.lower() <= z1.upper();
}
template <typename Scalar>
inline bool
in(const Interval<Scalar>& z1, const Interval<Scalar>& z2)
{
return z2.lower() <= z1.lower() && z1.upper() <= z2.upper();
}
template <typename Scalar>
inline bool
in(Scalar x, const Interval<Scalar>& z)
{
return z.lower() <= x && x <= z.upper();
}
template <typename Scalar>
inline Interval<Scalar>
widen(const Interval<Scalar>& z, const Scalar& x)
{
return Interval<Scalar>(z.lower() - x, z.upper() + x);
}
template<typename Scalar>
inline Interval<Scalar>
hull(const Interval<Scalar>& z1, const Interval<Scalar>& z2)
{
return Interval<Scalar>(GEN_min(z1.lower(), z2.lower()),
GEN_max(z1.upper(), z2.upper()));
}
template<typename Scalar>
inline Interval<Scalar>
operator+(Scalar x, const Interval<Scalar>& z)
{
return Interval<Scalar>(x + z.lower(), x + z.upper());
}
}
#endif
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