557 lines
13 KiB
C++
557 lines
13 KiB
C++
/***************************************************************************
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* Copyright (c) 2005 Imetric 3D GmbH *
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* *
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* This file is part of the FreeCAD CAx development system. *
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* *
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* This library is free software; you can redistribute it and/or *
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* modify it under the terms of the GNU Library General Public *
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* License as published by the Free Software Foundation; either *
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* version 2 of the License, or (at your option) any later version. *
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* *
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* This library 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 Library General Public License for more details. *
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* *
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* You should have received a copy of the GNU Library General Public *
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* License along with this library; see the file COPYING.LIB. If not, *
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* write to the Free Software Foundation, Inc., 59 Temple Place, *
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* Suite 330, Boston, MA 02111-1307, USA *
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* *
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***************************************************************************/
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#ifndef BASE_TOOLS2D_H
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#define BASE_TOOLS2D_H
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#include <algorithm>
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#include <cmath>
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#include <cfloat>
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#include <stdio.h>
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#include <list>
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#include <vector>
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#include "Vector3D.h"
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namespace Base {
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class Vector2d;
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class BoundBox2d;
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class Line2d;
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class Polygon2d;
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/**
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* The vector class for 2D calculations.
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*/
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class BaseExport Vector2d
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{
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public:
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double x, y;
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inline Vector2d(void);
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inline Vector2d(float x, float y);
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inline Vector2d(double x, double y);
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inline Vector2d(const Vector2d &v);
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// operators
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inline Vector2d& operator= (const Vector2d &v);
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inline bool operator== (const Vector2d &v) const;
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inline Vector2d operator+ (void) const;
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inline Vector2d operator+ (const Vector2d &v) const;
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inline Vector2d& operator+= (const Vector2d &v);
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inline Vector2d operator- (void) const;
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inline Vector2d operator- (const Vector2d &v) const;
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inline Vector2d& operator-= (const Vector2d &v);
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inline Vector2d operator* (double c) const;
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inline Vector2d& operator*= (double c);
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inline double operator* (const Vector2d &v) const;
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inline Vector2d operator/ (double c) const;
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inline Vector2d& operator/= (double c);
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// methods
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inline bool IsNull(double tolerance = 0.0) const;
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inline double Length(void) const;
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inline double Angle(void) const;
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inline double Sqr(void) const;
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inline Vector2d& Set(double x, double y);
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inline Vector2d& Negate(void);
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inline Vector2d& Scale(double factor);
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inline Vector2d& Rotate(double angle);
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inline Vector2d& Normalize(void);
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inline Vector2d Perpendicular(bool clockwise = false) const;
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static inline Vector2d FromPolar(double r, double fi);
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inline double Distance(const Vector2d &v) const;
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inline bool IsEqual(const Vector2d &v, double tolerance = 0.0) const;
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double GetAngle(const Vector2d &v) const;
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void ProjectToLine(const Vector2d &point, const Vector2d &line);
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};
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/** BoundBox2d ********************************************/
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/**
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* Two dimensional bounding box.
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*/
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class BaseExport BoundBox2d
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{
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public:
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double MinX, MinY, MaxX, MaxY;
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inline BoundBox2d (void);
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inline BoundBox2d (const BoundBox2d &rclBB);
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inline BoundBox2d (double fX1, double fY1, double fX2, double fY2);
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inline bool IsValid (void);
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inline bool IsEqual(const BoundBox2d&, double tolerance) const;
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// operators
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inline BoundBox2d& operator= (const BoundBox2d& rclBB);
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inline bool operator== (const BoundBox2d& rclBB) const;
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// methods
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inline double Width(void) const;
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inline double Height(void) const;
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inline bool Contains(const Vector2d &v) const;
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inline bool Contains(const Vector2d &v, double tolerance) const;
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inline Vector2d GetCenter(void) const;
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inline void SetVoid(void);
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inline void Add(const Vector2d &v);
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bool Intersect(const Line2d &rclLine) const;
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bool Intersect(const BoundBox2d &rclBB) const;
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bool Intersect(const Polygon2d &rclPoly) const;
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};
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/** Line2d ********************************************/
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/**
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* 2D line class.
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*/
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class BaseExport Line2d
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{
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public:
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Vector2d clV1, clV2;
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Line2d (void) {}
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inline Line2d (const Line2d &rclLine);
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inline Line2d (const Vector2d &rclV1, const Vector2d &rclV2);
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// methods
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inline double Length (void) const;
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BoundBox2d CalcBoundBox (void) const;
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// operators
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inline Line2d& operator= (const Line2d& rclLine);
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inline bool operator== (const Line2d& rclLine) const;
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// misc
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inline bool Contains (const Vector2d &rclV) const;
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bool Intersect (const Line2d& rclLine, Vector2d &rclV) const;
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bool Intersect (const Vector2d &rclV, double eps) const;
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bool IntersectAndContain (const Line2d& rclLine, Vector2d &rclV) const;
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Vector2d FromPos (double fDistance) const;
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};
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/** Polygon2d ********************************************/
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/**
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* 2D polygon class.
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*/
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class BaseExport Polygon2d
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{
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public:
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Polygon2d (void) {}
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inline Polygon2d (const Polygon2d &rclPoly);
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virtual ~Polygon2d () {}
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inline Polygon2d& operator = (const Polygon2d &rclP);
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// admin-interface
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inline size_t GetCtVectors (void) const;
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inline bool Add (const Vector2d &rclVct);
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inline Vector2d& operator[] (size_t ulNdx) const;
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inline Vector2d& At (size_t ulNdx) const;
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inline bool Delete (size_t ulNdx);
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inline void DeleteAll (void);
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// misc
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BoundBox2d CalcBoundBox (void) const;
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bool Contains (const Vector2d &rclV) const;
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void Intersect (const Polygon2d &rclPolygon, std::list<Polygon2d> &rclResultPolygonList) const;
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bool Intersect (const Polygon2d &rclPolygon) const;
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bool Intersect (const Vector2d &rclV, double eps) const;
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private:
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std::vector<Vector2d> _aclVct;
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};
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/** INLINES ********************************************/
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inline Vector2d::Vector2d(void)
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: x(0.0), y(0.0)
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{
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}
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inline Vector2d::Vector2d(float x, float y)
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: x(x), y(y)
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{
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}
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inline Vector2d::Vector2d(double x, double y)
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: x(x), y(y)
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{
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}
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inline Vector2d::Vector2d(const Vector2d &v)
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: x(v.x), y(v.y)
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{
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}
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inline Vector2d& Vector2d::operator= (const Vector2d &v)
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{
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x = v.x;
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y = v.y;
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return *this;
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}
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inline bool Vector2d::operator== (const Vector2d &v) const
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{
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return (x == v.x) && (y == v.y);
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}
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inline Vector2d Vector2d::operator+ (void) const
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{
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return Vector2d(x, y);
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}
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inline Vector2d Vector2d::operator+ (const Vector2d &v) const
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{
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return Vector2d(x + v.x, y + v.y);
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}
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inline Vector2d& Vector2d::operator+= (const Vector2d &v)
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{
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x += v.x;
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y += v.y;
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return *this;
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}
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inline Vector2d Vector2d::operator- (void) const
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{
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return Vector2d(-x, -y);
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}
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inline Vector2d Vector2d::operator- (const Vector2d &v) const
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{
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return Vector2d(x - v.x, y - v.y);
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}
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inline Vector2d& Vector2d::operator-= (const Vector2d &v)
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{
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x -= v.x;
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y -= v.y;
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return *this;
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}
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inline Vector2d Vector2d::operator* (double c) const
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{
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return Vector2d(c*x, c*y);
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}
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inline Vector2d& Vector2d::operator*= (double c)
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{
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x *= c;
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y *= c;
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return *this;
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}
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inline double Vector2d::operator* (const Vector2d &v) const
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{
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return x*v.x + y*v.y;
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}
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inline Vector2d operator* (double c, const Vector2d &v)
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{
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return Vector2d(c*v.x, c*v.y);
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}
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inline Vector2d Vector2d::operator/ (double c) const
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{
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return Vector2d(x/c, y/c);
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}
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inline Vector2d& Vector2d::operator/= (double c)
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{
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x /= c;
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y /= c;
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return *this;
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}
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inline bool Vector2d::IsNull(double tolerance) const
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{
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return x*x + y*y <= tolerance*tolerance;
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}
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inline double Vector2d::Length(void) const
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{
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return sqrt(x*x + y*y);
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}
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inline double Vector2d::Angle(void) const
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{
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return atan2(y, x);
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}
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inline double Vector2d::Sqr(void) const
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{
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return x*x + y*y;
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}
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inline Vector2d& Vector2d::Set(double x, double y)
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{
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this->x = x;
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this->y = y;
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return *this;
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}
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inline Vector2d& Vector2d::Negate(void)
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{
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x = -x;
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y = -y;
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return *this;
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}
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inline Vector2d& Vector2d::Scale(double factor)
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{
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x *= factor;
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y *= factor;
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return *this;
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}
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inline Vector2d& Vector2d::Rotate(double angle)
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{
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x = x*cos(angle) - y*sin(angle);
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y = x*sin(angle) + y*cos(angle);
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return *this;
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}
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inline Vector2d& Vector2d::Normalize(void)
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{
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double length = Length();
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if (length > 0.0)
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{
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x /= length;
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y /= length;
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}
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return *this;
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}
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inline Vector2d Vector2d::Perpendicular(bool clockwise) const
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{
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return clockwise ? Vector2d(y, -x) : Vector2d(-y, x);
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}
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inline Vector2d Vector2d::FromPolar(double r, double fi)
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{
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return Vector2d(r*cos(fi), r*sin(fi));
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}
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inline double Vector2d::Distance(const Vector2d& v) const
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{
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double dx = (x - v.x);
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double dy = (y - v.y);
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return sqrt(dx*dx + dy*dy);
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}
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inline bool Vector2d::IsEqual(const Vector2d& v, double tolerance) const
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{
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return Distance(v) <= tolerance;
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}
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// ========================================
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inline Polygon2d::Polygon2d (const Polygon2d &rclPoly)
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{
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*this = rclPoly;
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}
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inline Polygon2d& Polygon2d::operator = (const Polygon2d &rclP)
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{
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_aclVct = rclP._aclVct;
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return *this;
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}
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inline void Polygon2d::DeleteAll (void)
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{
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_aclVct.clear();
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}
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inline size_t Polygon2d::GetCtVectors (void) const
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{
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return _aclVct.size ();
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}
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inline bool Polygon2d::Add (const Vector2d &rclVct)
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{
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_aclVct.push_back (rclVct);
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return true;
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}
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inline bool Polygon2d::Delete (size_t ulNdx)
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{
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if ( ulNdx < _aclVct.size() )
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{
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std::vector<Vector2d>::iterator it = _aclVct.begin() + ulNdx;
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_aclVct.erase ( it );
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return true;
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}
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return false;
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}
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inline Vector2d& Polygon2d::operator[] (size_t ulNdx) const
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{
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return (Vector2d&) _aclVct[ulNdx];
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}
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inline Vector2d& Polygon2d::At (size_t ulNdx) const
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{
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return (Vector2d&) _aclVct[ulNdx];
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}
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inline Line2d::Line2d (const Line2d &rclLine)
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: clV1 (rclLine.clV1),
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clV2 (rclLine.clV2)
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{
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}
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inline Line2d::Line2d (const Vector2d &rclV1, const Vector2d &rclV2)
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: clV1 (rclV1), clV2 (rclV2)
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{
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}
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inline double Line2d::Length (void) const
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{
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return (clV2 - clV1).Length ();
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}
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inline Line2d& Line2d::operator= (const Line2d& rclLine)
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{
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clV1 = rclLine.clV1;
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clV2 = rclLine.clV2;
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return *this;
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}
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inline bool Line2d::operator== (const Line2d& rclLine) const
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{
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return (clV1 == rclLine.clV1) && (clV2 == rclLine.clV2);
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}
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inline bool Line2d::Contains (const Vector2d &rclV) const
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{
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return CalcBoundBox ().Contains (rclV);
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}
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inline BoundBox2d::BoundBox2d (void)
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{
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MinX = MinY = DOUBLE_MAX;
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MaxX = MaxY = - DOUBLE_MAX;
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}
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inline BoundBox2d::BoundBox2d (const BoundBox2d &rclBB)
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: MinX (rclBB.MinX),
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MinY (rclBB.MinY),
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MaxX (rclBB.MaxX),
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MaxY (rclBB.MaxY)
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{
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}
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inline BoundBox2d::BoundBox2d (double fX1, double fY1, double fX2, double fY2)
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{
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MinX = std::min<double>( fX1, fX2 );
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MaxX = std::max<double>( fX1, fX2 );
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MinY = std::min<double>( fY1, fY2 );
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MaxY = std::max<double>( fY1, fY2 );
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}
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inline bool BoundBox2d::IsValid (void)
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{
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return (MaxX >= MinX) && (MaxY >= MinY);
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}
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inline bool BoundBox2d::IsEqual(const BoundBox2d& b, double tolerance) const
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{
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return Vector2d(MinX,MinY).IsEqual(Vector2d(b.MinX,b.MinY), tolerance) &&
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Vector2d(MaxX,MaxY).IsEqual(Vector2d(b.MaxX,b.MaxY), tolerance);
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}
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inline BoundBox2d& BoundBox2d::operator= (const BoundBox2d& rclBB)
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{
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MinX = rclBB.MinX;
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MinY = rclBB.MinY;
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MaxX = rclBB.MaxX;
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MaxY = rclBB.MaxY;
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return *this;
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}
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inline bool BoundBox2d::operator== (const BoundBox2d& rclBB) const
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{
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return (MinX == rclBB.MinX) &&
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(MinY == rclBB.MinY) &&
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(MaxX == rclBB.MaxX) &&
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(MaxY == rclBB.MaxY);
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}
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inline double BoundBox2d::Width(void) const
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{
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return MaxX - MinX;
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}
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inline double BoundBox2d::Height(void) const
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{
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return MaxY - MinY;
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}
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inline bool BoundBox2d::Contains(const Vector2d &v) const
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{
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return v.x >= MinX && v.x <= MaxX
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&& v.y >= MinY && v.y <= MaxY;
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}
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inline bool BoundBox2d::Contains(const Vector2d &v, double tolerance) const
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{
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return v.x >= MinX - tolerance && v.x <= MaxX + tolerance
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&& v.y >= MinY - tolerance && v.y <= MaxY + tolerance;
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}
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inline Vector2d BoundBox2d::GetCenter(void) const
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{
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return Vector2d((MinX + MaxX)*0.5, (MinY + MaxY)*0.5);
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}
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inline void BoundBox2d::SetVoid(void)
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{
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MinX = MinY = DOUBLE_MAX;
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MaxX = MaxY = -DOUBLE_MAX;
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}
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inline void BoundBox2d::Add(const Vector2d &v)
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{
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MinX = std::min<double>(MinX, v.x);
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MinY = std::min<double>(MinY, v.y);
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MaxX = std::max<double>(MaxX, v.x);
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MaxY = std::max<double>(MaxY, v.y);
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}
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} // namespace Base
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#endif // BASE_TOOLS2D_H
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