/* ---- This file is part of SECONDO. Copyright (C) 2004, University in Hagen, Department of Computer Science, Database Systems for New Applications. SECONDO is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. SECONDO is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with SECONDO; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA ---- 01590 Fachpraktikum "Erweiterbare Datenbanksysteme" WS 2014 / 2015 //paragraph [1] Title: [{\Large \bf \begin{center}] [\end{center}}] //paragraph [10] Footnote: [{\footnote{] [}}] //[TOC] [\tableofcontents] [1] Implementation of a Spatial3D algebra [TOC] 1 Includes and Defines */ #include "Spatial3D.h" #include "geometric_algorithm.h" #include "geometric_algorithm_intersection_line_plane.h" namespace spatial3d_geometric { bool IntersectionPointResult::segmentIntersects() { switch (resultType) { case NONE: return false; case EDGE: case INNER: case ON_PLANE: return intersectionParameter >= 0 && intersectionParameter <= 1; default: assert(false); } } bool IntersectionPointResult::rayIntersects() { switch (resultType) { case NONE: return false; case EDGE: case INNER: case ON_PLANE: return intersectionParameter >= 0; default: assert(false); } } bool IntersectionPointResult::lineIntersects() { switch (resultType) { case NONE: return false; case EDGE: case INNER: case ON_PLANE: return true; default: assert(false); } } bool IntersectionPointResult::hasIntersectionPoint() { switch (resultType) { case NONE: case ON_PLANE: return false; case EDGE: case INNER: return true; default: assert(false); } } double IntersectionPointResult::getIntersectionParameter() { assert(resultType == EDGE || resultType == INNER); return intersectionParameter; } SimplePoint3d IntersectionPointResult::getIntersectionPoint() { assert(resultType == EDGE || resultType == INNER); return intersectionPoint; } bool IntersectionPointResult::isIntersectionOnTriangleEdge() { return resultType == EDGE; } IntersectionPointResult::IntersectionPointResult( IntersectionPointResult::TriangleLineIntersection _resultType, double _intersectionParameter, const SimplePoint3d& _intersectionPoint) : resultType(_resultType), intersectionParameter(_intersectionParameter), intersectionPoint(_intersectionPoint) { } IntersectionPointResult intersection(const SimplePoint3d& p0, const SimplePoint3d& p1, const Plane3d& plane) { return intersection(p0, Vector3d(p0, p1), plane); } IntersectionPointResult intersection(const SimplePoint3d& p0, const Vector3d& segmentVector, const Plane3d& plane) { Vector3d n = plane.getNormalVector(); double denominator = n * segmentVector; if (AlmostEqual(denominator, 0)) { // Parallel if (isPointInPlane(p0, plane)) { return IntersectionPointResult(IntersectionPointResult::ON_PLANE, 0, SimplePoint3d(0,0,0)); } else { return IntersectionPointResult(IntersectionPointResult::NONE, 0, SimplePoint3d(0,0,0)); } } double r = n * Vector3d(p0, plane.getPoint()) / denominator; SimplePoint3d intersectionPoint(p0 + r * segmentVector); return IntersectionPointResult(IntersectionPointResult::INNER, r, intersectionPoint); } IntersectionPointResult intersection(const SimplePoint3d& p0, const SimplePoint3d& p1, const Triangle& triangle) { return intersection(p0, Vector3d(p0, p1), triangle); } IntersectionPointResult intersection(const SimplePoint3d& p0, const Vector3d& segmentVector, const Triangle& triangle) { Vector3d n = triangle.getNormalVector(); double denominator = n * segmentVector; if (AlmostEqual(denominator, 0)) { // Parallel if (isPointInPlane(p0, Plane3d(triangle.getA(), triangle.getB(), triangle.getC()))) { Transformation2d t(triangle.getPlane()); SimplePoint2d segment1_2d = t.transform(p0); SimplePoint2d segment2_2d = t.transform(p0 + segmentVector); SimplePoint2d triangleA_2d = t.transform(triangle.getA()); SimplePoint2d triangleB_2d = t.transform(triangle.getB()); SimplePoint2d triangleC_2d = t.transform(triangle.getC()); bool intersectionOnPlane = doSegmentsIntersect(segment1_2d, segment2_2d, triangleA_2d, triangleB_2d) || doSegmentsIntersect(segment1_2d, segment2_2d, triangleB_2d, triangleC_2d) || doSegmentsIntersect(segment1_2d, segment2_2d, triangleC_2d, triangleA_2d); if (intersectionOnPlane) { // TODO: IntersectionParameter return IntersectionPointResult(IntersectionPointResult::ON_PLANE, 0, SimplePoint3d(0,0,0)); } else { return IntersectionPointResult(IntersectionPointResult::NONE, 0, SimplePoint3d(0,0,0)); } } else { return IntersectionPointResult(IntersectionPointResult::NONE, 0, SimplePoint3d(0,0,0)); } } double r = n * Vector3d(p0, triangle.getA()) / denominator; SimplePoint3d intersectionPoint(p0 + r * segmentVector); IntersectionPointResult::TriangleLineIntersection resultType; switch(pointInsideTriangle(intersectionPoint, triangle)) { case CORNER: case EDGE: resultType = IntersectionPointResult::EDGE; break; case INSIDE: resultType = IntersectionPointResult::INNER; break; case OUTSIDE: resultType = IntersectionPointResult::NONE; break; } return IntersectionPointResult(resultType, r, intersectionPoint); } }