hyp_object.hpp

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#pragma once
 
#include "ck_plane.hpp"
#include "pg_object.hpp"
 
class HyperbolicPoint;
class HyperbolicLine;
 
class HyperbolicPoint : public PgObject<HyperbolicPoint, HyperbolicLine> {
  public:
    constexpr explicit HyperbolicPoint(std::array<int64_t, 3> coord)
        : PgObject<HyperbolicPoint, HyperbolicLine>{coord} {}
 
    constexpr auto perp() const -> HyperbolicLine;  // polar
};
 
class HyperbolicLine : public PgObject<HyperbolicLine, HyperbolicPoint> {
  public:
    constexpr explicit HyperbolicLine(std::array<int64_t, 3> coord)
        : PgObject<HyperbolicLine, HyperbolicPoint>{coord} {}
 
    constexpr auto perp() const -> HyperbolicPoint;  // pole
};
 
constexpr auto HyperbolicPoint::perp() const -> HyperbolicLine {
    return HyperbolicLine({this->coord[0], this->coord[1], -this->coord[2]});
}
 
constexpr auto HyperbolicLine::perp() const -> HyperbolicPoint {
    return HyperbolicPoint({this->coord[0], this->coord[1], -this->coord[2]});
}