100 lines
3.3 KiB
C++
100 lines
3.3 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2019 Qingnan Zhou <qnzhou@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla Public License
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// v. 2.0. If a copy of the MPL was not distributed with this file, You can
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// obtain one at http://mozilla.org/MPL/2.0/.
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#pragma once
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#ifndef IGL_PREDICATES_PREDICATES_H
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#define IGL_PREDICATES_PREDICATES_H
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#include <igl/igl_inline.h>
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#include <Eigen/Core>
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namespace igl {
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namespace predicates {
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enum class Orientation {
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POSITIVE=1, INSIDE=1,
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NEGATIVE=-1, OUTSIDE=-1,
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COLLINEAR=0, COPLANAR=0, COCIRCULAR=0, COSPHERICAL=0, DEGENERATE=0
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};
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// Initialize internal variable used by predciates. Must be called before
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// using exact predicates.
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IGL_INLINE void exactinit();
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// Compute the orientation of the triangle formed by pa, pb, pc.
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//
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// Input:
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// pa, pb, pc 2D points.
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//
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// Output:
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// Return POSITIVE if pa, pb, pc are counterclockwise oriented.
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// NEGATIVE if they are clockwise oriented.
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// COLLINEAR if they are collinear.
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template<typename Vector2D>
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IGL_INLINE Orientation orient2d(
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const Eigen::MatrixBase<Vector2D>& pa,
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const Eigen::MatrixBase<Vector2D>& pb,
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const Eigen::MatrixBase<Vector2D>& pc);
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// Compute the orientation of the tetrahedron formed by pa, pb, pc, pd.
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//
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// Input:
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// pa, pb, pc, pd 3D points.
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//
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// Output:
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// Return POSITIVE if pd is "below" the oriented plane formed by pa, pb and pc.
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// NEGATIVE if pd is "above" the plane.
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// COPLANAR if pd is on the plane.
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template<typename Vector3D>
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IGL_INLINE Orientation orient3d(
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const Eigen::MatrixBase<Vector3D>& pa,
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const Eigen::MatrixBase<Vector3D>& pb,
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const Eigen::MatrixBase<Vector3D>& pc,
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const Eigen::MatrixBase<Vector3D>& pd);
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// Decide whether a point is inside/outside/on a circle.
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//
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// Input:
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// pa, pb, pc 2D points that defines an oriented circle.
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// pd 2D query point.
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//
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// Output:
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// Return INSIDE if pd is inside of the circle defined by pa, pb and pc.
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// OUSIDE if pd is outside of the circle.
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// COCIRCULAR pd is exactly on the circle.
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template<typename Vector2D>
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IGL_INLINE Orientation incircle(
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const Eigen::MatrixBase<Vector2D>& pa,
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const Eigen::MatrixBase<Vector2D>& pb,
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const Eigen::MatrixBase<Vector2D>& pc,
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const Eigen::MatrixBase<Vector2D>& pd);
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// Decide whether a point is inside/outside/on a sphere.
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//
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// Input:
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// pa, pb, pc, pd 3D points that defines an oriented sphere.
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// pe 3D query point.
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//
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// Output:
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// Return INSIDE if pe is inside of the sphere defined by pa, pb, pc and pd.
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// OUSIDE if pe is outside of the sphere.
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// COSPHERICAL pd is exactly on the sphere.
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template<typename Vector3D>
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IGL_INLINE Orientation insphere(
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const Eigen::MatrixBase<Vector3D>& pa,
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const Eigen::MatrixBase<Vector3D>& pb,
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const Eigen::MatrixBase<Vector3D>& pc,
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const Eigen::MatrixBase<Vector3D>& pd,
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const Eigen::MatrixBase<Vector3D>& pe);
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}
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "predicates.cpp"
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#endif
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#endif
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