Exemplo n.º 1
0
        // rotate the points by the given radians about their centroid
        public static ArrayList RotateByRadians(ArrayList points, double radians)
        {
            ArrayList newPoints = new ArrayList(points.Count);
            PointR    c         = Centroid(points);

            double cos = Math.Cos(radians);
            double sin = Math.Sin(radians);

            double cx = c.X;
            double cy = c.Y;

            for (int i = 0; i < points.Count; i++)
            {
                PointR p = (PointR)points[i];

                double dx = p.X - cx;
                double dy = p.Y - cy;

                PointR q = PointR.Empty;
                q.X = dx * cos - dy * sin + cx;
                q.Y = dx * sin + dy * cos + cy;

                newPoints.Add(q);
            }
            return(newPoints);
        }
Exemplo n.º 2
0
        public static double Distance(PointR p1, PointR p2)
        {
            double dx = p2.X - p1.X;
            double dy = p2.Y - p1.Y;

            return(Math.Sqrt(dx * dx + dy * dy));
        }
Exemplo n.º 3
0
        // determines the angle, in radians, between two points. the angle is defined
        // by the circle centered on the start point with a radius to the end point,
        // where 0 radians is straight right from start (+x-axis) and PI/2 radians is
        // straight down (+y-axis).
        public static double AngleInRadians(PointR start, PointR end, bool positiveOnly)
        {
            double radians = 0.0;

            if (start.X != end.X)
            {
                radians = Math.Atan2(end.Y - start.Y, end.X - start.X);
            }
            else // pure vertical movement
            {
                if (end.Y < start.Y)
                {
                    radians = -Math.PI / 2.0; // -90 degrees is straight up
                }
                else if (end.Y > start.Y)
                {
                    radians = Math.PI / 2.0; // 90 degrees is straight down
                }
            }
            if (positiveOnly && radians < 0.0)
            {
                radians += Math.PI * 2.0;
            }
            return(radians);
        }
Exemplo n.º 4
0
        // Rotate a point 'p' around a point 'c' by the given radians.
        // Rotation (around the origin) amounts to a 2x2 matrix of the form:
        //
        //		[ cos A		-sin A	] [ p.x ]
        //		[ sin A		cos A	] [ p.y ]
        //
        // Note that the C# Math coordinate system has +x-axis stright right and
        // +y-axis straight down. Rotation is clockwise such that from +x-axis to
        // +y-axis is +90 degrees, from +x-axis to -x-axis is +180 degrees, and
        // from +x-axis to -y-axis is -90 degrees.
        public static PointR RotatePoint(PointR p, PointR c, double radians)
        {
            PointR q = PointR.Empty;

            q.X = (p.X - c.X) * Math.Cos(radians) - (p.Y - c.Y) * Math.Sin(radians) + c.X;
            q.Y = (p.X - c.X) * Math.Sin(radians) + (p.Y - c.Y) * Math.Cos(radians) + c.Y;
            return(q);
        }
Exemplo n.º 5
0
 public override bool Equals(object obj)
 {
     if (obj is PointR)
     {
         PointR p = (PointR)obj;
         return(X == p.X && Y == p.Y);
     }
     return(false);
 }
Exemplo n.º 6
0
        // translates the points by the given delta amounts
        public static ArrayList TranslateBy(ArrayList points, SizeR sz)
        {
            ArrayList newPoints = new ArrayList(points.Count);

            for (int i = 0; i < points.Count; i++)
            {
                PointR p = (PointR)points[i];
                p.X += sz.Width;
                p.Y += sz.Height;
                newPoints.Add(p);
            }
            return(newPoints);
        }
Exemplo n.º 7
0
        // scales the points so that the length of their shorter side
        // matches the length of the shorter side of the given box.
        // thus, both dimensions are warped proportionally, rather than
        // independently, like in the function ScaleTo.
        public static ArrayList ScaleToMin(ArrayList points, RectangleR box)
        {
            ArrayList  newPoints = new ArrayList(points.Count);
            RectangleR r         = FindBox(points);

            for (int i = 0; i < points.Count; i++)
            {
                PointR p = (PointR)points[i];
                p.X *= (box.MinSide / r.MinSide);
                p.Y *= (box.MinSide / r.MinSide);
                newPoints.Add(p);
            }
            return(newPoints);
        }
Exemplo n.º 8
0
        // scales by the percentages contained in the 'sz' parameter. values of 1.0 would result in the
        // identity scale (that is, no change).
        public static ArrayList ScaleBy(ArrayList points, SizeR sz)
        {
            ArrayList  newPoints = new ArrayList(points.Count);
            RectangleR r         = FindBox(points);

            for (int i = 0; i < points.Count; i++)
            {
                PointR p = (PointR)points[i];
                p.X *= sz.Width;
                p.Y *= sz.Height;
                newPoints.Add(p);
            }
            return(newPoints);
        }
Exemplo n.º 9
0
        // translates the points so that their centroid lies at 'toPt'
        public static ArrayList TranslateCentroidTo(ArrayList points, PointR toPt)
        {
            ArrayList newPoints = new ArrayList(points.Count);
            PointR    centroid  = Centroid(points);

            for (int i = 0; i < points.Count; i++)
            {
                PointR p = (PointR)points[i];
                p.X += (toPt.X - centroid.X);
                p.Y += (toPt.Y - centroid.Y);
                newPoints.Add(p);
            }
            return(newPoints);
        }
Exemplo n.º 10
0
        // translates the points so that the upper-left corner of their bounding box lies at 'toPt'
        public static ArrayList TranslateBBoxTo(ArrayList points, PointR toPt)
        {
            ArrayList  newPoints = new ArrayList(points.Count);
            RectangleR r         = Utils.FindBox(points);

            for (int i = 0; i < points.Count; i++)
            {
                PointR p = (PointR)points[i];
                p.X += (toPt.X - r.X);
                p.Y += (toPt.Y - r.Y);
                newPoints.Add(p);
            }
            return(newPoints);
        }
Exemplo n.º 11
0
        // scales the points so that they form the size given. does not restore the
        // origin of the box.
        public static ArrayList ScaleTo(ArrayList points, SizeR sz)
        {
            ArrayList  newPoints = new ArrayList(points.Count);
            RectangleR r         = FindBox(points);

            for (int i = 0; i < points.Count; i++)
            {
                PointR p = (PointR)points[i];
                if (r.Width != 0.0)
                {
                    p.X *= (sz.Width / r.Width);
                }
                if (r.Height != 0.0)
                {
                    p.Y *= (sz.Height / r.Height);
                }
                newPoints.Add(p);
            }
            return(newPoints);
        }
Exemplo n.º 12
0
        public static ArrayList Resample(ArrayList points, int n)
        {
            double    I      = PathLength(points) / (n - 1); // interval length
            double    D      = 0.0;
            ArrayList srcPts = new ArrayList(points);
            ArrayList dstPts = new ArrayList(n);

            dstPts.Add(srcPts[0]);
            for (int i = 1; i < srcPts.Count; i++)
            {
                PointR pt1 = (PointR)srcPts[i - 1];
                PointR pt2 = (PointR)srcPts[i];

                double d = Distance(pt1, pt2);
                if ((D + d) >= I)
                {
                    double qx = pt1.X + ((I - D) / d) * (pt2.X - pt1.X);
                    double qy = pt1.Y + ((I - D) / d) * (pt2.Y - pt1.Y);
                    PointR q  = new PointR(qx, qy);
                    dstPts.Add(q);       // append new point 'q'
                    srcPts.Insert(i, q); // insert 'q' at position i in points s.t. 'q' will be the next i
                    D = 0.0;
                }
                else
                {
                    D += d;
                }
            }
            // somtimes we fall a rounding-error short of adding the last point, so add it if so
            if (dstPts.Count == n - 1)
            {
                dstPts.Add(srcPts[srcPts.Count - 1]);
            }

            return(dstPts);
        }
Exemplo n.º 13
0
        // determines the angle, in degrees, between two points. the angle is defined
        // by the circle centered on the start point with a radius to the end point,
        // where 0 degrees is straight right from start (+x-axis) and 90 degrees is
        // straight down (+y-axis).
        public static double AngleInDegrees(PointR start, PointR end, bool positiveOnly)
        {
            double radians = AngleInRadians(start, end, positiveOnly);

            return(Rad2Deg(radians));
        }
Exemplo n.º 14
0
 // copy constructor
 public PointR(PointR p)
 {
     X = p.X;
     Y = p.Y;
     T = p.T;
 }