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Chenwenxuan
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lib/engine/rs_ellipse.h
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247
lib/engine/rs_ellipse.h
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/****************************************************************************
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**
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** This file is part of the LibreCAD project, a 2D CAD program
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**
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** Copyright (C) 2011-2015 Dongxu Li (dongxuli2011@gmail.com)
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** Copyright (C) 2010 R. van Twisk (librecad@rvt.dds.nl)
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** Copyright (C) 2001-2003 RibbonSoft. All rights reserved.
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**
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**
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** This file may be distributed and/or modified under the terms of the
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** GNU General Public License version 2 as published by the Free Software
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** Foundation and appearing in the file gpl-2.0.txt included in the
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** packaging of this file.
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**
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** This program 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 this program; if not, write to the Free Software
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** Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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**
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** This copyright notice MUST APPEAR in all copies of the script!
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**
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**********************************************************************/
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#ifndef RS_ELLIPSE_H
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#define RS_ELLIPSE_H
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#include "rs_atomicentity.h"
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class LC_Quadratic;
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/**
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* Holds the data that defines an ellipse.
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* angle1=angle2=0.0 is reserved for whole ellipses
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* add 2*M_PI to angle1 or angle2 to make whole range ellipse arcs
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*/
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struct RS_EllipseData {
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//! Ellipse center
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RS_Vector center;
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//! Endpoint of major axis relative to center.
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RS_Vector majorP;
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//! Ratio of minor axis to major axis.
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double ratio;
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//! Start angle
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double angle1;
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//! End angle
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double angle2;
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//! Reversed (cw) flag
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bool reversed;
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};
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std::ostream& operator << (std::ostream& os, const RS_EllipseData& ed);
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/**
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* Class for an ellipse entity. All angles are in Rad.
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*
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* @author Andrew Mustun
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*/
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class RS_Ellipse : public RS_AtomicEntity {
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public:
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RS_Ellipse()=default;
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RS_Ellipse(RS_EntityContainer* parent, const RS_EllipseData& d);
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RS_Entity* clone() const override;
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/** @return RS2::EntityEllipse */
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RS2::EntityType rtti() const override{
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return RS2::EntityEllipse;
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}
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/**
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* @return Start point of the entity.
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*/
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RS_Vector getStartpoint() const override;
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RS_VectorSolutions getFoci() const;
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/**
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* @return End point of the entity.
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*/
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RS_Vector getEndpoint() const override;
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RS_Vector getEllipsePoint(const double& a) const; //find the point according to ellipse angle
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void moveStartpoint(const RS_Vector& pos) override;
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void moveEndpoint(const RS_Vector& pos) override;
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double getLength() const override;
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/**
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//Ellipse must have ratio<1, and not reversed
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*@ x1, ellipse angle
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*@ x2, ellipse angle
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//@return the arc length between ellipse angle x1, x2
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**/
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double getEllipseLength(double a1, double a2) const;
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double getEllipseLength(double a2) const;
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RS_VectorSolutions getTangentPoint(const RS_Vector& point) const override;//find the tangential points seeing from given point
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RS_Vector getTangentDirection(const RS_Vector& point)const override;
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RS2::Ending getTrimPoint(const RS_Vector& trimCoord,
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const RS_Vector& trimPoint) override;
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RS_Vector prepareTrim(const RS_Vector& trimCoord,
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const RS_VectorSolutions& trimSol) override;
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double getEllipseAngle (const RS_Vector& pos) const;
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/** @return Copy of data that defines the ellipse. **/
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const RS_EllipseData& getData() const;
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RS_VectorSolutions getRefPoints() const override;
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/**
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* @retval true if the arc is reversed (clockwise),
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* @retval false otherwise
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*/
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bool isReversed() const;
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/** sets the reversed status. */
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void setReversed(bool r);
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/** @return The rotation angle of this ellipse */
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double getAngle() const;
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/** @return The start angle of this arc */
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double getAngle1() const;
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/** Sets new start angle. */
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void setAngle1(double a1);
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/** @return The end angle of this arc */
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double getAngle2() const;
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/** Sets new end angle. */
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void setAngle2(double a2);
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/** @return The center point (x) of this arc */
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RS_Vector getCenter() const override;
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/** Sets new center. */
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void setCenter(const RS_Vector& c);
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/** @return The endpoint of the major axis (relative to center). */
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const RS_Vector& getMajorP() const;
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/** Sets new major point (relative to center). */
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void setMajorP(const RS_Vector& p);
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/** @return The ratio of minor to major axis */
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double getRatio() const;
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/** Sets new ratio. */
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void setRatio(double r);
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/**
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* @return Angle length in rad.
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*/
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double getAngleLength() const;
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/** @return The major radius of this ellipse. Same as getRadius() */
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double getMajorRadius() const;
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/** @return the point by major minor radius directions */
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RS_Vector getMajorPoint() const;
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RS_Vector getMinorPoint() const;
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/** @return The minor radius of this ellipse */
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double getMinorRadius() const;
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//! \brief isEllipticArc the ellipse an Arc, if angle1/angle2 are not both 0
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bool isEllipticArc() const;
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bool isEdge() const override{
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return true;
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}
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bool createFrom4P(const RS_VectorSolutions& sol);
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bool createFromCenter3Points(const RS_VectorSolutions& sol);
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//! \{ \brief from quadratic form
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/** : dn[0] x^2 + dn[1] xy + dn[2] y^2 =1 */
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bool createFromQuadratic(const std::vector<double>& dn);
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/** : generic quadratic: A x^2 + C xy + B y^2 + D x + E y + F =0 */
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bool createFromQuadratic(const LC_Quadratic& q);
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//! \}
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bool createInscribeQuadrilateral(const std::vector<RS_Line*>& lines);
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RS_Vector getMiddlePoint(void)const override;
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RS_Vector getNearestEndpoint(const RS_Vector& coord,
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double* dist = nullptr) const override;
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RS_Vector getNearestPointOnEntity(const RS_Vector& coord,
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bool onEntity = true, double* dist = nullptr, RS_Entity** entity=nullptr) const override;
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RS_Vector getNearestCenter(const RS_Vector& coord,
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double* dist = nullptr)const override;
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RS_Vector getNearestMiddle(const RS_Vector& coord,
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double* dist = nullptr,
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int middlePoints = 1
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)const override;
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RS_Vector getNearestDist(double distance,
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const RS_Vector& coord,
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double* dist = nullptr)const override;
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RS_Vector getNearestOrthTan(const RS_Vector& coord,
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const RS_Line& normal,
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bool onEntity = false) const override;
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bool switchMajorMinor(void); //switch major minor axes to keep major the longer ellipse radius
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void correctAngles();//make sure angleLength() is not more than 2*M_PI
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bool isPointOnEntity(const RS_Vector& coord,
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double tolerance=RS_TOLERANCE) const override;
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void move(const RS_Vector& offset) override;
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void rotate(const double& angle);
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void rotate(const RS_Vector& angleVector);
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void rotate(const RS_Vector& center, const double& angle) override;
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void rotate(const RS_Vector& center, const RS_Vector& angle) override;
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void scale(const RS_Vector& center, const RS_Vector& factor) override;
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void mirror(const RS_Vector& axisPoint1, const RS_Vector& axisPoint2) override;
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void moveRef(const RS_Vector& ref, const RS_Vector& offset) override;
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/** whether the entity's bounding box intersects with visible portion of graphic view
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*/
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bool isVisibleInWindow(RS_GraphicView* view) const override;
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//! \{ \brief find visible segments of entity and draw only those visible portion
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void draw(RS_Painter* painter, RS_GraphicView* view, double& patternOffset) override;
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void drawVisible(RS_Painter* painter, RS_GraphicView* view, double& patternOffset);
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//! \}
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friend std::ostream& operator << (std::ostream& os, const RS_Ellipse& a);
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//void calculateEndpoints() override;
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void calculateBorders() override;
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//direction of tangent at endpoints
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double getDirection1() const override;
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double getDirection2() const override;
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/** \brief return the equation of the entity
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a quadratic contains coefficients for quadratic:
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m0 x^2 + m1 xy + m2 y^2 + m3 x + m4 y + m5 =0
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for linear:
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m0 x + m1 y + m2 =0
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**/
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LC_Quadratic getQuadratic() const override;
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/**
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* @brief areaLineIntegral, line integral for contour area calculation by Green's Theorem
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* Contour Area =\oint x dy
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* @return line integral \oint x dy along the entity
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* \oint x dy = Cx y + \frac{1}{4}((a^{2}+b^{2})sin(2a)cos^{2}(t)-ab(2sin^{2}(a)sin(2t)-2t-sin(2t)))
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*/
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double areaLineIntegral() const override;
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protected:
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RS_EllipseData data;
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};
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#endif
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//EOF
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