File size: 3,465 Bytes
5b89cb9 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 | // 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/igl_inline.h>
#include <Eigen/Core>
namespace igl {
namespace predicates {
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.
IGL_INLINE void exactinit();
// Compute the orientation of the triangle formed by pa, pb, pc.
//
// Input:
// pa, pb, pc 2D points.
//
// Output:
// Return POSITIVE if pa, pb, pc are counterclockwise oriented.
// NEGATIVE if they are clockwise oriented.
// COLLINEAR if they are collinear.
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.
//
// Input:
// pa, pb, pc, pd 3D points.
//
// Output:
// 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.
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.
//
// Input:
// pa, pb, pc 2D points that defines an oriented circle.
// pd 2D query point.
//
// Output:
// 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.
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.
//
// Input:
// pa, pb, pc, pd 3D points that defines an oriented sphere.
// pe 3D query point.
//
// Output:
// 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.
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
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