/* * This program source code file is part of KiCad, a free EDA CAD application. * * Copyright (C) 2024 KiCad Developers, see AUTHORS.txt for contributors. * * This program 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 3 of the License, or (at your * option) any later version. * * This program 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 this program. If not, see . */ #include class SEG; namespace KIGEOM { /** * @file vector_utils.h * * Supplemental functions for working with vectors and * objects that interact with vectors. */ /* * Determine if a point is in a given direction from another point. * * This returns true if the vector from aFrom to aPoint is within * 90 degrees of aDirection. * * ------> aDirection * * /-- aFrom * O /-- aPoint * O * * If the point is perpendicular to the direction, it is considered * to NOT be in the direction (e.g. both the direction and the * reversed direction would return false). * * @param aPoint The point to test. * @param aDirection The direction vector. * @param aFrom The point to test from. * * @return true if the point is in the direction. */ template bool PointIsInDirection( const VECTOR2& aPoint, const VECTOR2& aDirection, const VECTOR2& aFrom ) { return ( aPoint - aFrom ).Dot( aDirection ) > 0; } /** * Determine if a segment's vector is within 90 degrees of a given direction. */ bool SegIsInDirection( const SEG& aSeg, const VECTOR2I& aDirection ); /** * Determine if a point projects onto a segment. * * /--- projects /--- does not project * o o * | | * |<------------>| x * aSeg */ bool PointProjectsOntoSegment( const VECTOR2I& aPoint, const SEG& aSeg ); /** * Get the ratio of the vector to a point from the segment's start, * compared to the segment's length. * /--- aPoint * A<---+-------->B <-- Length L * | | * >|----|<-- Length R * * The point doesn't have to lie on the segment. */ double GetLengthRatioFromStart( const VECTOR2I& aPoint, const SEG& aSeg ); /** * Get the ratio of the vector to a point projected onto a segment * from the start, relative to the segment's length. * * /--- projects * o * | * A<---+-------->B <-- Length L * | | * >|----|<-- Length R * * The ratio is R / L. IF 0, the point is at A. If 1, the point is at B. * It assumes the point projects onto the segment. */ double GetProjectedPointLengthRatio( const VECTOR2I& aPoint, const SEG& aSeg ); /** * Get the nearest end of a segment to a point. * * If equidistant, the start point is returned. */ const VECTOR2I& GetNearestEndpoint( const SEG& aSeg, const VECTOR2I& aPoint ); } // namespace KIGEOM