205 lines
7.0 KiB
C++
205 lines
7.0 KiB
C++
/*
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----
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This file is part of SECONDO.
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Copyright (C) 2004, University in Hagen, Department of Computer Science,
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Database Systems for New Applications.
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SECONDO is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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SECONDO is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with SECONDO; if not, write to the Free Software
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Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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----
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01590 Fachpraktikum "Erweiterbare Datenbanksysteme"
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WS 2014 / 2015
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<our names here>
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//paragraph [1] Title: [{\Large \bf \begin{center}] [\end{center}}]
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//paragraph [10] Footnote: [{\footnote{] [}}]
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//[TOC] [\tableofcontents]
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[1] Implementation of a Spatial3D algebra
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[TOC]
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1 Includes and Defines
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*/
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#ifndef _SPATIAL3DGEOMETRIC_ALGORITHM_H
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#define _SPATIAL3DGEOMETRIC_ALGORITHM_H
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#include<math.h>
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#include<vector>
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#include "../../include/AlmostEqual.h"
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#include "Spatial3D.h"
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namespace spatial3d_geometric
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{
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/* TODO: Remove debugging helpers (Jens Breit) */
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void print(SimplePoint3d a);
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void print(Vector3d a);
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void print(SimplePoint2d a, std::string name);
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void print(Triangle a);
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class NumericFailure {};
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void numeric_fail();
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/* Types */
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enum InsideResult { INSIDE=0, EDGE=1, CORNER=2, OUTSIDE=3 };
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/* Points */
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bool almostEqual(const SimplePoint3d& p1, const SimplePoint3d& p2);
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bool collinear(const SimplePoint3d& pA,
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const SimplePoint3d& pB,
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const SimplePoint3d& pC);
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double distance(const SimplePoint3d& p1, const SimplePoint3d& p2);
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double distancePointToLine(const SimplePoint3d& p,
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const SimplePoint3d& linePoint1, const SimplePoint3d& linePoint2);
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/* Vectors */
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bool almostEqual(const Vector3d& v1, const Vector3d& v2);
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double length(const Vector3d& vector);
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bool collinear(const Vector3d& v1, const Vector3d& v2);
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bool orthogonal(const Vector3d& v1, const Vector3d& v2);
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Vector3d operator+(const Vector3d& v1, const Vector3d& v2);
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Vector3d operator-(const Vector3d& v1, const Vector3d& v2);
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Vector3d operator*(double scalar, const Vector3d& vector);
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double operator*(const Vector3d& v1, const Vector3d& v2);
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Vector3d crossProduct(const Vector3d& v1, const Vector3d& v2);
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SimplePoint3d operator+(const SimplePoint3d& p, const Vector3d& v);
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/* Planes */
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bool almostEqual(const Plane3d& p1, const Plane3d& p2);
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Vector3d normalVector(const SimplePoint3d& pA,
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const SimplePoint3d& pB,
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const SimplePoint3d& pC);
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double distance(const SimplePoint3d& point, const Plane3d& plane);
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bool isPointInPlane(const SimplePoint3d& point, const Plane3d& plane);
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double planeDistanceToOrigin(const SimplePoint3d& pointInPlane,
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const Vector3d& normalVector);
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void planeHessianNormalForm(const SimplePoint3d& pA,
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const SimplePoint3d& pB,
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const SimplePoint3d& pC,
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double& out_distanceToOrigin,
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Vector3d& out_normalVector);
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SimplePoint3d projectPointOntoPlane(const SimplePoint3d &point,
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const Plane3d& plane);
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/* Triangles */
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// assumes directed triangles
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bool almostEqual(const Triangle& triangle1, const Triangle& triangle2);
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bool isValidTriangle(const SimplePoint3d& pA,
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const SimplePoint3d& pB,
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const SimplePoint3d& pC);
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bool isValidTriangle(const Triangle& triangle);
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// precondition: point is in the plane of the triangle.
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InsideResult pointInsideTriangle(const SimplePoint3d& pointToTest,
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const Triangle& triangle);
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bool isCompletelyInside(const Triangle& t1, const Triangle& t2);
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/* 2D */
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bool almostEqual(const SimplePoint2d& p1, const SimplePoint2d& p2);
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double distance(const SimplePoint2d& p1, const SimplePoint2d& p2);
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double distance_square(const SimplePoint2d& p1, const SimplePoint2d& p2);
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double getPolarAngle(const SimplePoint2d& point);
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double clockwise(const SimplePoint2d& p1,
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const SimplePoint2d& p2,
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const SimplePoint2d& p3);
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// never true for parallel segments
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bool doSegmentsIntersect(const SimplePoint2d& a1, const SimplePoint2d& a2,
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const SimplePoint2d& b1, const SimplePoint2d& b2);
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// returns false if lines are parallel
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bool lineIntersectionPoint(const SimplePoint2d& a1, const SimplePoint2d& a2,
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const SimplePoint2d& b1, const SimplePoint2d& b2,
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SimplePoint2d& out_intersection);
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InsideResult pointInsideTriangle(const SimplePoint2d& pointToTest,
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const SimplePoint2d& pointA,
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const SimplePoint2d& pointB,
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const SimplePoint2d& pointC);
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// Never returns edge
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InsideResult pointInsideSegment(const SimplePoint2d& pointToTest,
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const SimplePoint2d& segmentPoint1,
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const SimplePoint2d& segmentPoint2);
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// precondition: the segment does share a point with the triangle
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SimplePoint2d firstPointInsideTriangle(const SimplePoint2d& from,
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const SimplePoint2d& to,
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const SimplePoint2d& t1,
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const SimplePoint2d& t2,
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const SimplePoint2d& t3);
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enum SegmentTriangle2dIntersectionResult { NONE = 0, POINT = 1, SEGMENT = 2 };
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SegmentTriangle2dIntersectionResult
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intersection(const SimplePoint2d& segmentA, const SimplePoint2d& segmentB,
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const SimplePoint2d* triangle);
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/* Set operations */
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bool prepareSetOperationSurface(const TriangleContainer& in_1,
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const TriangleContainer& in_2,
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std::vector<Triangle>& out_only_1,
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std::vector<Triangle>& out_only_2,
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std::vector<Triangle>& out_both);
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bool prepareSetOperationVolume(const Volume3d& in_1,
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const Volume3d& in_2,
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std::vector<Triangle>& out_only_1_outside_2,
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std::vector<Triangle>& out_only_2_outside_1,
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std::vector<Triangle>& out_only_1_inside_2,
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std::vector<Triangle>& out_only_2_inside_1,
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std::vector<Triangle>& out_both_same_direction,
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std::vector<Triangle>& out_both_opposite_direction);
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}
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#endif
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