persp_object.hpp

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#pragma once
 
#include "ck_plane.hpp"
#include "pg_object.hpp"
 
class PerspPoint;
class PerspLine;
 
class PerspPoint : public PgObject<PerspPoint, PerspLine> {
  public:
    // constexpr static PerspLine L_INF{ {0, -1, 1}};
 
    constexpr explicit PerspPoint(std::array<int64_t, 3> coord)
        : PgObject<PerspPoint, PerspLine>{coord} {}
 
    constexpr auto perp() const -> const PerspLine&;
};
 
class PerspLine : public PgObject<PerspLine, PerspPoint> {
  public:
    // constexpr static PerspPoint I_RE{ {0, 1, 1}};
    // constexpr static PerspPoint I_IM{ {1, 0, 0}};
 
    constexpr explicit PerspLine(std::array<int64_t, 3> coord)
        : PgObject<PerspLine, PerspPoint>{coord} {}
 
    constexpr auto perp() const -> PerspPoint;
};
 
static constexpr PerspLine L_INF({0, -1, 1});
static constexpr PerspPoint I_RE({0, 1, 1});
static constexpr PerspPoint I_IM({1, 0, 0});
 
constexpr auto PerspPoint::perp() const -> const PerspLine& { return L_INF; }
 
constexpr auto PerspLine::perp() const -> PerspPoint {
    return PerspPoint::parametrize(this->dot(I_RE), I_RE, this->dot(I_IM), I_IM);
}