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Based on Philip's work located at http://git.wildfiregames.com/gitweb/?p=0ad.git;a=shortlog;h=refs/heads/projects/philip/pathfinder Includes code by wraitii, sanderd17 and kanetaka. An updated version of docs/pathfinder.pdf describing the changes in detail will be committed ASAP. Running update-workspaces is needed after this change. Fixes #1756. Fixes #930, #1259, #2908, #2960, #3097 Refs #1200, #1914, #1942, #2568, #2132, #2563 This was SVN commit r16751.
106 lines
3.5 KiB
C++
106 lines
3.5 KiB
C++
/* Copyright (C) 2012 Wildfire Games.
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* This file is part of 0 A.D.
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*
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* 0 A.D. 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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*
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* 0 A.D. 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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*
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* You should have received a copy of the GNU General Public License
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* along with 0 A.D. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef INCLUDED_HELPER_GEOMETRY
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#define INCLUDED_HELPER_GEOMETRY
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/**
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* @file
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* Helper functions related to geometry algorithms
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*/
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#include "maths/Fixed.h"
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#include "maths/MathUtil.h"
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class CFixedVector2D;
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namespace Geometry
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{
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/**
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* Checks if a point is inside the given rotated rectangle.
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* Points precisely on an edge are considered to be inside.
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*
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* The rectangle is defined by the four vertexes
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* (+/-u*halfSize.X +/-v*halfSize.Y).
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*
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* The @p u and @p v vectors must be perpendicular.
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*/
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bool PointIsInSquare(CFixedVector2D point,
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CFixedVector2D u, CFixedVector2D v, CFixedVector2D halfSize);
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/**
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* Returns a vector (bx,by) such that every point inside
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* the given rotated rectangle has coordinates
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* (x,y) with -bx <= x <= bx, -by <= y < by.
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*
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* The rectangle is defined by the four vertexes
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* (+/-u*halfSize.X +/-v*halfSize.Y).
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*/
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CFixedVector2D GetHalfBoundingBox(CFixedVector2D u, CFixedVector2D v, CFixedVector2D halfSize);
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/**
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* Returns the minimum Euclidean distance from the given point to
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* any point on the boundary of the given rotated rectangle.
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*
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* If @p countInsideAsZero is true, and the point is inside the rectangle,
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* it will return 0.
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* If @p countInsideAsZero is false, the (positive) distance to the boundary
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* will be returned regardless of where the point is.
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*
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* The rectangle is defined by the four vertexes
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* (+/-u*halfSize.X +/-v*halfSize.Y).
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*
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* The @p u and @p v vectors must be perpendicular and unit length.
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*/
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fixed DistanceToSquare(CFixedVector2D point,
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CFixedVector2D u, CFixedVector2D v, CFixedVector2D halfSize,
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bool countInsideAsZero = false);
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/**
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* Returns a point on the boundary of the given rotated rectangle
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* that is closest (or equally closest) to the given point
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* in Euclidean distance.
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*
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* The rectangle is defined by the four vertexes
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* (+/-u*halfSize.X +/-v*halfSize.Y).
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*
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* The @p u and @p v vectors must be perpendicular and unit length.
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*/
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CFixedVector2D NearestPointOnSquare(CFixedVector2D point,
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CFixedVector2D u, CFixedVector2D v, CFixedVector2D halfSize);
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/**
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* Given a circle of radius @p radius, and a chord of length @p chordLength
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* on this circle, computes the central angle formed by
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* connecting the chord's endpoints to the center of the circle.
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*
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* @param radius Radius of the circle; must be strictly positive.
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*/
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float ChordToCentralAngle(const float chordLength, const float radius);
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bool TestRaySquare(CFixedVector2D a, CFixedVector2D b, CFixedVector2D u, CFixedVector2D v, CFixedVector2D halfSize);
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bool TestRayAASquare(CFixedVector2D a, CFixedVector2D b, CFixedVector2D halfSize);
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bool TestSquareSquare(
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CFixedVector2D c0, CFixedVector2D u0, CFixedVector2D v0, CFixedVector2D halfSize0,
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CFixedVector2D c1, CFixedVector2D u1, CFixedVector2D v1, CFixedVector2D halfSize1);
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} // namespace
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#endif // INCLUDED_HELPER_GEOMETRY
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