You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
108 lines
3.8 KiB
108 lines
3.8 KiB
// This file is part of libigl, a simple c++ geometry processing library.
|
|
//
|
|
// Copyright (C) 2019 Qingnan Zhou <qnzhou@gmail.com>
|
|
//
|
|
// This Source Code Form is subject to the terms of the Mozilla Public License
|
|
// v. 2.0. If a copy of the MPL was not distributed with this file, You can
|
|
// obtain one at http://mozilla.org/MPL/2.0/.
|
|
#pragma once
|
|
#ifndef IGL_PREDICATES_PREDICATES_H
|
|
#define IGL_PREDICATES_PREDICATES_H
|
|
|
|
#include "../igl_inline.h"
|
|
#include <Eigen/Core>
|
|
|
|
namespace igl {
|
|
namespace predicates {
|
|
/// Types of orientations and other predicate results.
|
|
///
|
|
/// \fileinfo
|
|
enum class Orientation {
|
|
POSITIVE=1, INSIDE=1,
|
|
NEGATIVE=-1, OUTSIDE=-1,
|
|
COLLINEAR=0, COPLANAR=0, COCIRCULAR=0, COSPHERICAL=0, DEGENERATE=0
|
|
};
|
|
|
|
/// Initialize internal variable used by predciates. Must be called before
|
|
/// using exact predicates. It is safe to call this function from multiple
|
|
/// threads.
|
|
///
|
|
/// \fileinfo
|
|
IGL_INLINE void exactinit();
|
|
|
|
/// Compute the orientation of the triangle formed by pa, pb, pc.
|
|
///
|
|
/// @param[in] pa 2D point on line
|
|
/// @param[in] pb 2D point on line
|
|
/// @param[in] pc 2D query point.
|
|
/// @return POSITIVE if pa, pb, pc are counterclockwise oriented.
|
|
/// NEGATIVE if they are clockwise oriented.
|
|
/// COLLINEAR if they are collinear.
|
|
///
|
|
/// \fileinfo
|
|
template<typename Vector2D>
|
|
IGL_INLINE Orientation orient2d(
|
|
const Eigen::MatrixBase<Vector2D>& pa,
|
|
const Eigen::MatrixBase<Vector2D>& pb,
|
|
const Eigen::MatrixBase<Vector2D>& pc);
|
|
/// Compute the orientation of the tetrahedron formed by pa, pb, pc, pd.
|
|
///
|
|
/// @param[in] pa 2D point on plane
|
|
/// @param[in] pb 2D point on plane
|
|
/// @param[in] pc 2D point on plane
|
|
/// @param[in] pd 2D query point
|
|
/// @return POSITIVE if pd is "below" the oriented plane formed by pa, pb and pc.
|
|
/// NEGATIVE if pd is "above" the plane.
|
|
/// COPLANAR if pd is on the plane.
|
|
///
|
|
/// \fileinfo
|
|
template<typename Vector3D>
|
|
IGL_INLINE Orientation orient3d(
|
|
const Eigen::MatrixBase<Vector3D>& pa,
|
|
const Eigen::MatrixBase<Vector3D>& pb,
|
|
const Eigen::MatrixBase<Vector3D>& pc,
|
|
const Eigen::MatrixBase<Vector3D>& pd);
|
|
/// Decide whether a point is inside/outside/on a circle.
|
|
///
|
|
/// @param[in] pa 2D point on circle
|
|
/// @param[in] pb 2D point on circle
|
|
/// @param[in] pc 2D point on circle
|
|
/// @param[in] pd 2D point query
|
|
/// @return INSIDE if pd is inside of the circle defined by pa, pb and pc.
|
|
/// OUSIDE if pd is outside of the circle.
|
|
/// COCIRCULAR pd is exactly on the circle.
|
|
///
|
|
/// \fileinfo
|
|
template<typename Vector2D>
|
|
IGL_INLINE Orientation incircle(
|
|
const Eigen::MatrixBase<Vector2D>& pa,
|
|
const Eigen::MatrixBase<Vector2D>& pb,
|
|
const Eigen::MatrixBase<Vector2D>& pc,
|
|
const Eigen::MatrixBase<Vector2D>& pd);
|
|
/// Decide whether a point is inside/outside/on a sphere.
|
|
///
|
|
/// @param[in] pa 2D point on sphere
|
|
/// @param[in] pb 2D point on sphere
|
|
/// @param[in] pc 2D point on sphere
|
|
/// @param[in] pd 2D point on sphere
|
|
/// @param[in] pe 2D point query
|
|
/// @return INSIDE if pe is inside of the sphere defined by pa, pb, pc and pd.
|
|
/// OUSIDE if pe is outside of the sphere.
|
|
/// COSPHERICAL pd is exactly on the sphere.
|
|
///
|
|
/// \fileinfo
|
|
template<typename Vector3D>
|
|
IGL_INLINE Orientation insphere(
|
|
const Eigen::MatrixBase<Vector3D>& pa,
|
|
const Eigen::MatrixBase<Vector3D>& pb,
|
|
const Eigen::MatrixBase<Vector3D>& pc,
|
|
const Eigen::MatrixBase<Vector3D>& pd,
|
|
const Eigen::MatrixBase<Vector3D>& pe);
|
|
}
|
|
}
|
|
|
|
#ifndef IGL_STATIC_LIBRARY
|
|
# include "predicates.cpp"
|
|
#endif
|
|
|
|
#endif
|
|
|