/* * vim: ts=4 sw=4 et tw=0 wm=0 * * libavoid - Fast, Incremental, Object-avoiding Line Router * * Copyright (C) 2004-2011 Monash University * * -------------------------------------------------------------------- * Much of the code in this module is based on code published with * and/or described in "Computational Geometry in C" (Second Edition), * Copyright (C) 1998 Joseph O'Rourke * -------------------------------------------------------------------- * The segmentIntersectPoint function is based on code published and * described in Franklin Antonio, Faster Line Segment Intersection, * Graphics Gems III, p. 199-202, code: p. 500-501. * -------------------------------------------------------------------- * * This library is free software; you can redistribute it and/or * modify it under the terms of the GNU Lesser General Public * License as published by the Free Software Foundation; either * version 2.1 of the License, or (at your option) any later version. * See the file LICENSE.LGPL distributed with the library. * * Licensees holding a valid commercial license may use this file in * accordance with the commercial license agreement provided with the * library. * * This library 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. * * Author(s): Michael Wybrow */ #ifndef AVOID_GEOMETRY_H #define AVOID_GEOMETRY_H #include "libavoid/geomtypes.h" #include "libavoid/assertions.h" namespace Avoid { extern double euclideanDist(const Point& a, const Point& b); extern double manhattanDist(const Point& a, const Point& b); extern double totalLength(const Polygon& poly); extern double angle(const Point& a, const Point& b, const Point& c); extern bool segmentIntersect(const Point& a, const Point& b, const Point& c, const Point& d); extern bool segmentShapeIntersect(const Point& e1, const Point& e2, const Point& s1, const Point& s2, bool& seenIntersectionAtEndpoint); extern bool inPoly(const Polygon& poly, const Point& q, bool countBorder = true); extern bool inPolyGen(const PolygonInterface& poly, const Point& q); extern bool inValidRegion(bool IgnoreRegions, const Point& a0, const Point& a1, const Point& a2, const Point& b); extern int cornerSide(const Point &c1, const Point &c2, const Point &c3, const Point& p); extern bool pointOnLine(const Point& a, const Point& b, const Point& c, const double tolerance = 0.0); extern bool colinear(const Point& a, const Point& b, const Point& c, const double tolerance = 0.0); // To be used only when the points are known to be colinear. extern bool inBetween(const Point& a, const Point& b, const Point& c); // Direction from vector. // Looks at the position of point c from the directed segment ab and // returns the following: // 1 counterclockwise // 0 collinear // -1 clockwise // // Based on the code of 'AreaSign'. // // The 'maybeZero' argument can be used to adjust the tolerance of the // function. It will be most accurate when 'maybeZero' == 0.0, the default. // static inline int vecDir(const Point& a, const Point& b, const Point& c, const double maybeZero = 0.0) { COLA_ASSERT(maybeZero >= 0); double area2 = ((b.x - a.x) * (c.y - a.y)) - ((c.x - a.x) * (b.y - a.y)); if (area2 < (-maybeZero)) { return -1; } else if (area2 > maybeZero) { return 1; } return 0; } // Finds the projection point of (a,b) onto (a,c) static inline Point projection(const Point& a, const Point& b, const Point& c) { double ux = c.x - a.x, uy = c.y - a.y, vx = b.x - a.x, vy = b.y - a.y, scalarProj = ux * vx + uy * vy; scalarProj /= ux * ux + uy * uy; Point p; p.x = scalarProj * ux + a.x; p.y = scalarProj * uy + a.y; return p; } // Line Segment Intersection // Original code by Franklin Antonio // static const int DONT_INTERSECT = 0; static const int DO_INTERSECT = 1; static const int PARALLEL = 3; extern int segmentIntersectPoint(const Point& a1, const Point& a2, const Point& b1, const Point& b2, double *x, double *y); extern int rayIntersectPoint(const Point& a1, const Point& a2, const Point& b1, const Point& b2, double *x, double *y); extern double rotationalAngle(const Point& p); } #endif