ViewDesignEngine/include/vde/foundation/exact_predicates.h

#pragma once
#include "vde/foundation/math_types.h"

namespace vde::foundation::exact {

enum class Orientation { Clockwise, CounterClockwise, Collinear };
enum class CircleTest { Inside, On, Outside };

/// Adaptive-precision 2D orientation test (Shewchuk)
Orientation orient_2d(const Point2D& a, const Point2D& b, const Point2D& c);

/// Adaptive-precision 3D orientation test
Orientation orient_3d(const Point3D& a, const Point3D& b,
                      const Point3D& c, const Point3D& d);

/// Adaptive-precision in-circle test
CircleTest in_circle(const Point2D& a, const Point2D& b,
                     const Point2D& c, const Point2D& d);

}  // namespace vde::foundation::exact

/// Adaptive double-precision predicates (default backend)
namespace vde::foundation {
struct AdaptiveDouble {
    static exact::Orientation orient_2d(const Point2D& a, const Point2D& b, const Point2D& c) {
        return exact::orient_2d(a, b, c);
    }
    static exact::Orientation orient_3d(const Point3D& a, const Point3D& b,
                                  const Point3D& c, const Point3D& d) {
        return exact::orient_3d(a, b, c, d);
    }
    static exact::CircleTest in_circle(const Point2D& a, const Point2D& b,
                                const Point2D& c, const Point2D& d) {
        return exact::in_circle(a, b, c, d);
    }
};
}  // namespace vde::foundation