topology.h

// Description: Topology enum for shapes
// Documentation: maths.txt

#ifndef PASTELSYS_TOPOLOGY_H
#define PASTELSYS_TOPOLOGY_H

#include <iostream>

namespace Pastel
{

    enum class Topology : integer
    {
        Open,
        Closed
    };

    inline Topology switchTopology(
        Topology topology)
    {
        if (topology == Topology::Closed)
        {
            return Topology::Open;
        }

        return Topology::Closed;
    }

    template <typename Real>
    bool containsPositiveHalfspace(
        const Real& outerMin, Topology outerMinTopology,
        const Real& innerMin, Topology innerMinTopology)
    {
        if (innerMin <= outerMin)
        {
            if (innerMin < outerMin ||
                (innerMinTopology == Topology::Closed &&
                outerMinTopology == Topology::Open))
            {
                return false;
            }
        }

        return true;
    }

    template <typename Real>
    bool containsNegativeHalfspace(
        const Real& outerMax, Topology outerMaxTopology,
        const Real& innerMax, Topology innerMaxTopology)
    {
        if (innerMax >= outerMax)
        {
            if (innerMax > outerMax ||
                (innerMaxTopology == Topology::Closed &&
                outerMaxTopology == Topology::Open))
            {
                return false;
            }
        }

        return true;
    }

    inline std::ostream& operator<<(
        std::ostream& stream, 
        const Topology& topology)
    {
        switch(topology)
        {
        case Topology::Open:
            std::cout << "open";
            break;
        case Topology::Closed:
            std::cout << "closed";
            break;
        };
        return stream;
    }

}

#endif