intervalHull.h

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#ifndef REPRESENTATION_GEOMETRIC_INTERVAL_HULL_H
#define REPRESENTATION_GEOMETRIC_INTERVAL_HULL_H

#include <capd/capdlib.h>
#include <vector>
#include <iostream>
#include <irafhy/representation/geometric/basic/point.h>
#include <irafhy/representation/geometric/geometry.h>

namespace irafhy
{
    class IntervalHull : public Geometry<IntervalHull>
    {
    private:
        std::vector<capd::interval> constraints_;

    public:
        static IntervalHull Empty(std::size_t dimension = 0);

    public:
        IntervalHull();
        IntervalHull(const IntervalHull& intervalHull) = default;
        IntervalHull(IntervalHull&& intervalHull) noexcept = default;
        explicit IntervalHull(const std::vector<capd::interval>& constraints);
        explicit IntervalHull(const std::vector<Point>& points);
        IntervalHull(const Point& center, double radius);
        explicit IntervalHull(const capd::C0Rect2Set& set);
        IntervalHull(const Eigen::VectorXd& center, double radius);
        ~IntervalHull() override = default;
        [[nodiscard]] std::vector<capd::interval> constraints() const;
        [[nodiscard]] bool empty() const override;
        [[nodiscard]] int dimension() const override;
        [[nodiscard]] std::vector<Point> extremeVertices() const;
        [[nodiscard]] Point randInnerPoint() const;
        [[nodiscard]] Point centroid() const;
        bool intersect(const IntervalHull& rhs, IntervalHull& result) const override;
        [[nodiscard]] IntervalHull unite(const IntervalHull& rhs) const override;
        [[nodiscard]] bool contains(const Point& point) const override;
        [[nodiscard]] bool contains(const Eigen::VectorXd& coordinate) const override;
        [[nodiscard]] bool contains(const IntervalHull& rhs) const;
        capd::interval& operator[](std::size_t index);
        const capd::interval& operator[](std::size_t index) const;
        bool operator==(const IntervalHull& rhs) const;
        bool operator!=(const IntervalHull& rhs) const;
        bool operator<(const IntervalHull& rhs) const;
        bool operator<=(const IntervalHull& rhs) const;
        bool operator>(const IntervalHull& rhs) const;
        bool operator>=(const IntervalHull& rhs) const;
        IntervalHull& operator=(const IntervalHull& rhs) = default;
        IntervalHull& operator=(IntervalHull&& rhs) = default;
    };

    std::ostream& operator<<(std::ostream& out, const IntervalHull& rhs);
} // namespace irafhy
#endif //REPRESENTATION_GEOMETRIC_INTERVAL_HULL_H