predicates.h

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#pragma once
#include "vde/foundation/exact_predicates.h"
#ifdef VDE_USE_GMP
#include "vde/foundation/exact_predicates_gmp.h"
#endif
 
namespace vde::foundation {
 
struct Predicates {
#ifdef VDE_USE_GMP
    using Backend = exact::GmpExact;
#else
    using Backend = exact::AdaptiveDouble;
#endif
 
    static exact::Orientation orient_2d(const Point2D& a, const Point2D& b, const Point2D& c) {
        return Backend::orient_2d(a, b, c);
    }
    static exact::Orientation orient_3d(const Point3D& a, const Point3D& b,
                                        const Point3D& c, const Point3D& d) {
        return Backend::orient_3d(a, b, c, d);
    }
    static exact::CircleTest in_circle(const Point2D& a, const Point2D& b,
                                       const Point2D& c, const Point2D& d) {
        return Backend::in_circle(a, b, c, d);
    }
};
 
// ── Convenience wrappers (preferred API) ──
 
inline exact::Orientation orient(const Point2D& a, const Point2D& b, const Point2D& c) {
    return Predicates::orient_2d(a, b, c);
}
 
inline exact::Orientation orient(const Point3D& a, const Point3D& b, const Point3D& c, const Point3D& d) {
    return Predicates::orient_3d(a, b, c, d);
}
 
inline exact::CircleTest in_circle(const Point2D& a, const Point2D& b, const Point2D& c, const Point2D& d) {
    return Predicates::in_circle(a, b, c, d);
}
 
}  // namespace vde::foundation