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The theory of moveable objects

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24 Jan 2010CPOL97 min read 119K   3.2K   230  
This article describes an algorithm by which an object of an arbitrary shape can be made moveable and resizable.
using System;
using System .Collections .Generic;
using System .ComponentModel;
using System .Drawing;
using System .Drawing .Drawing2D;
using System .Windows .Forms;

using MoveGraphLibrary;

namespace TheoryOfMoveableObjects
{
    // asymmetrical resizing
    public class RectangleRsRt : ElementRsRt
    {
        PointF [] pts = new PointF [4];
        SolidBrush brush;
        double compensation;            // only between MouseDown and MouseUp 
        PointF center;                  // only between MouseDown and MouseUp   

        int radiusCorner = 6;
        static int minSide = 20;

        // -------------------------------------------------
        public RectangleRsRt (PointF ptC, float w, float h, double angleDegree, Color color)
        {
            id = Auxi_Common .UniqueID;
            idParent = 0;
            figure = Figure .Rectangle;
            bResize = true;
            bRotate = true;

            w = Math .Max (minSide, Math .Abs (w));
            h = Math .Max (minSide, Math .Abs (h));
            angle = Auxi_Convert .DegreeToRadian (angleDegree);
            double radius = Math .Sqrt (w * w + h * h) / 2;
            double angle_plus = Math .Atan2 (h, w);
            pts = new PointF [4] {Auxi_Geometry .PointToPoint (ptC, angle + angle_plus, radius), 
                                  Auxi_Geometry .PointToPoint (ptC, angle - angle_plus + Math .PI, radius),
                                  Auxi_Geometry .PointToPoint (ptC, angle + angle_plus + Math .PI, radius), 
                                  Auxi_Geometry .PointToPoint (ptC, angle - angle_plus, radius) };
            brush = new SolidBrush (color);
        }
        // -------------------------------------------------        Copy
        public override ElementRsRt Copy (PointF pt)
        {
            RectangleRsRt figure = new RectangleRsRt (pt, Width, Height, Auxi_Convert .RadianToDegree (angle), GetColor ());
            figure .Resizable = bResize;
            figure .Rotatable = bRotate;
            return ((ElementRsRt) figure);
        }
        // -------------------------------------------------        Draw
        public override void Draw (Graphics grfx)
        {
            grfx .FillPolygon (brush, pts);
        }
        // -------------------------------------------------        Radius
        private double Radius
        {
            get { return (Auxi_Geometry .Distance (pts [0], pts [2]) / 2); }  
        }
        // -------------------------------------------------        Apexes
        private PointF [] Apexes
        {
            get { return (pts); }
        }
        // -------------------------------------------------        Width
        public float Width
        {
            get { return (Convert .ToSingle (Auxi_Geometry .Distance (pts [0], pts [1]))); }
        }
        // -------------------------------------------------        Height
        public float Height
        {
            get { return (Convert .ToSingle (Auxi_Geometry .Distance (pts [0], pts [3]))); }
        }
        // -------------------------------------------------        Center
        public override PointF Center ()
        {
            return (Auxi_Geometry .Middle (pts [0], pts [2]));
        }
        // -------------------------------------------------        MinimumSide
        static public int MinimumSide
        {
            get { return (minSide); }
        }
        // -------------------------------------------------        RectAround
        public override RectangleF RectAround ()
        {
            return (Auxi_Geometry .RectAroundPoints (pts));
        }
        // -------------------------------------------------        SetAngle
        public override void SetAngle (double angleNew)
        {
            angle = Auxi_Common .LimitedRadian (angleNew);
            double angle_plus = Math .Atan2 (Height, Width);
            PointF ptC = Center ();
            double radius = Radius;
            pts = new PointF [4] {Auxi_Geometry .PointToPoint (ptC, angle + angle_plus, radius), 
                                  Auxi_Geometry .PointToPoint (ptC, angle - angle_plus + Math .PI, radius),
                                  Auxi_Geometry .PointToPoint (ptC, angle + angle_plus + Math .PI, radius), 
                                  Auxi_Geometry .PointToPoint (ptC, angle - angle_plus, radius) };
            DefineCover ();
        }
        // -------------------------------------------------        GetColor
        public override Color GetColor ()
        {
            return (brush .Color);
        }
        // -------------------------------------------------        SetColor
        public override void SetColor (Color color)
        {
            brush = new SolidBrush (color);
        }
        // -------------------------------------------------        StartRotation
        public override void StartRotation (Point ptMouse)
        {
            center = Center ();
            double angleMouse = Auxi_Geometry .Line_Angle (center, ptMouse);
            compensation = Auxi_Common .LimitedRadian (angleMouse - angle);
        }
        // -------------------------------------------------        DefineCover
        public override void DefineCover ()
        {
            CoverNode [] nodes;

            if (bResize)
            {
                nodes = new CoverNode [9];

                for (int i = 0; i < 4; i++)
                {
                    nodes [i] = new CoverNode (i, pts [i], radiusCorner);
                }
                for (int i = 0; i < 4; i++)
                {
                    nodes [i + 4] = new CoverNode (i + 4, pts [i], pts [(i + 1) % 4]);
                }
                nodes [8] = new CoverNode (8, pts);
            }
            else
            {
                nodes = new CoverNode [] { new CoverNode (0, pts) };
            }
            cover = new Cover (nodes);
        }
        // -------------------------------------------------        Move
        public override void Move (int dx, int dy)
        {
            SizeF size = new SizeF (dx, dy);
            for (int i = 0; i < 4; i++)
            {
                pts [i] += size;
            }
        }
        // -------------------------------------------------        MoveNode
        public override bool MoveNode (int i, int dx, int dy, Point ptM, MouseButtons catcher)
        {
            bool bRet = false;
            double angleMouse;
            if (catcher == MouseButtons .Left)
            {
                if (bResize)
                {
                    double newD, newW, newH;
                    PointF ptOpposite, ptA_oppositeside, ptB_oppositeside;
                    switch (i)
                    {
                        case 0:
                            ptOpposite = pts [2];
                            angleMouse = Auxi_Geometry .Line_Angle (ptOpposite, ptM);
                            newD = Auxi_Geometry .Distance (ptOpposite, ptM); 
                            newW = Math .Abs (newD * Math .Cos (angleMouse - angle));
                            newH = Math .Abs (newD * Math .Sin (angleMouse - angle));
                            if (newW >= minSide && newH >= minSide && NotInverted (i, ptM))
                            {
                                pts = new PointF [4] {  ptM, 
                                                        Auxi_Geometry .PointToPoint (ptM, angle + Math .PI, newW),
                                                        ptOpposite, 
                                                        Auxi_Geometry .PointToPoint (ptM, angle - Math .PI / 2, newH) };
                                DefineCover ();
                                bRet = true;
                            }
                            break;
                        case 1:
                            ptOpposite = pts [3];
                            angleMouse = Auxi_Geometry .Line_Angle (ptOpposite, ptM);
                            newD = Auxi_Geometry .Distance (ptOpposite, ptM); 
                            newW = Math .Abs (newD * Math .Cos (angleMouse - angle));
                            newH = Math .Abs (newD * Math .Sin (angleMouse - angle));
                            if (newW >= minSide && newH >= minSide && NotInverted (i, ptM))
                            {
                                pts = new PointF [4] {  Auxi_Geometry .PointToPoint (ptOpposite, angle + Math .PI / 2, newH),
                                                        ptM, 
                                                        Auxi_Geometry .PointToPoint (ptOpposite, angle + Math .PI, newW),
                                                        ptOpposite };
                                DefineCover ();
                                bRet = true;
                            }
                            break;
                        case 2:
                            ptOpposite = pts [0];
                            angleMouse = Auxi_Geometry .Line_Angle (ptOpposite, ptM);
                            newD = Auxi_Geometry .Distance (ptOpposite, ptM); 
                            newW = Math .Abs (newD * Math .Cos (angleMouse - angle));
                            newH = Math .Abs (newD * Math .Sin (angleMouse - angle));
                            if (newW >= minSide && newH >= minSide && NotInverted (i, ptM))
                            {
                                pts = new PointF [4] {  ptOpposite, 
                                                        Auxi_Geometry .PointToPoint (ptOpposite, angle + Math .PI, newW),
                                                        ptM, 
                                                        Auxi_Geometry .PointToPoint (ptOpposite, angle - Math .PI / 2, newH) };
                                DefineCover ();
                                bRet = true;
                            }
                            break;
                        case 3:
                            ptOpposite = pts [1];
                            angleMouse = Auxi_Geometry .Line_Angle (ptOpposite, ptM);
                            newD = Auxi_Geometry .Distance (ptOpposite, ptM);  
                            newW = Math .Abs (newD * Math .Cos (angleMouse - angle));
                            newH = Math .Abs (newD * Math .Sin (angleMouse - angle));
                            if (newW >= minSide && newH >= minSide && NotInverted (i, ptM))
                            {
                                pts = new PointF [4] {  Auxi_Geometry .PointToPoint (ptM, angle + Math .PI / 2, newH),
                                                        ptOpposite, 
                                                        Auxi_Geometry .PointToPoint (ptM, angle + Math .PI, newW), 
                                                        ptM };
                                DefineCover ();
                                bRet = true;
                            }
                            break;
                        case 4:
                            ptA_oppositeside = pts [2];
                            ptB_oppositeside = pts [3];
                            newH = Auxi_Geometry .DistanceToLine (ptM, ptA_oppositeside, ptB_oppositeside);
                            if (newH >= minSide)
                            {
                                pts [0] = Auxi_Geometry .PointToPoint (pts [3], angle + Math .PI / 2, newH);
                                pts [1] = Auxi_Geometry .PointToPoint (pts [2], angle + Math .PI / 2, newH);
                                DefineCover ();
                                bRet = true;
                            }
                            break;
                        case 5:
                            ptA_oppositeside = pts [0];
                            ptB_oppositeside = pts [3];
                            newW = Auxi_Geometry .DistanceToLine (ptM, ptA_oppositeside, ptB_oppositeside);
                            if (newW >= minSide)
                            {
                                pts [1] = Auxi_Geometry .PointToPoint (pts [0], angle + Math .PI, newW);
                                pts [2] = Auxi_Geometry .PointToPoint (pts [3], angle + Math .PI, newW);
                                DefineCover ();
                                bRet = true;
                            }
                            break;
                        case 6:
                            ptA_oppositeside = Apexes [0];
                            ptB_oppositeside = Apexes [1];
                            newH = Auxi_Geometry .DistanceToLine (ptM, ptA_oppositeside, ptB_oppositeside);
                            if (newH >= minSide)
                            {
                                pts [2] = Auxi_Geometry .PointToPoint (pts [1], angle - Math .PI / 2, newH);
                                pts [3] = Auxi_Geometry .PointToPoint (pts [0], angle - Math .PI / 2, newH);
                                DefineCover ();
                                bRet = true;
                            }
                            break;
                        case 7:
                            ptA_oppositeside = pts [1];
                            ptB_oppositeside = pts [2];
                            newW = Auxi_Geometry .DistanceToLine (ptM, ptA_oppositeside, ptB_oppositeside);
                            if (newW >= minSide)
                            {
                                pts [0] = Auxi_Geometry .PointToPoint (pts [1], angle, newW);
                                pts [3] = Auxi_Geometry .PointToPoint (pts [2], angle, newW);
                                DefineCover ();
                                bRet = true;
                            }
                            break;
                        case 8:
                            Move (dx, dy);
                            bRet = true;
                            break;
                    }
                }
                else
                {
                    Move (dx, dy);
                    bRet = true;
                }
            }
            else if (catcher == MouseButtons .Right  &&  bRotate)
            {
                angleMouse = Auxi_Geometry .Line_Angle (center, ptM);
                angle = angleMouse - compensation;
                double radius = Radius;
                double w = Auxi_Geometry .Distance (pts [0], pts [1]);
                double h = Auxi_Geometry .Distance (pts [0], pts [3]);
                double angle_plus = Math .Atan2 (h, w);
                pts = new PointF [4] {Auxi_Geometry .PointToPoint (center, angle + angle_plus, radius), 
                                      Auxi_Geometry .PointToPoint (center, angle - angle_plus + Math .PI, radius),
                                      Auxi_Geometry .PointToPoint (center, angle + angle_plus + Math .PI, radius), 
                                      Auxi_Geometry .PointToPoint (center, angle - angle_plus, radius) };
                DefineCover ();
                bRet = true;
            }
            return (bRet);
        }
        // -------------------------------------------------        IntoMover
        public override void IntoMover (Mover mover, int iPos)
        {
            mover .Insert (iPos, this);
        }
        // -------------------------------------------------        NotInverted
        private bool NotInverted (int iCorner, Point ptM)
        {
            return (Auxi_Geometry .SameSideOfLine (pts [(iCorner + 1) % 4], pts [(iCorner + 2) % 4], pts [(iCorner + 3) % 4], ptM)  &&
                    Auxi_Geometry .SameSideOfLine (pts [(iCorner + 2) % 4], pts [(iCorner + 3) % 4], pts [(iCorner + 1) % 4], ptM));
        }
    }
}

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This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)


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