/// <summary>
/// Find maximum closestest dot who is line dot from array
/// </summary>
/// <param name="ds">Array of dots</param>
/// <param name="D">You dot</param>
/// <returns></returns>
public static Dot DotClosestSegments(Dot[] ds, Dot D)
{
if (ds.Length >= 2)
{
Dot X = DotMath.DotClosestSegment(ds[0], ds[1], D);
float minDist = DotMath.Distance(D, X);
for (int i = 0; i < ds.Length - 1; i++)
{
Dot Y = DotMath.DotClosestSegment(ds[i], ds[i + 1], D);
float dist = DotMath.Distance(Y, D);
if (dist < minDist)
{
minDist = dist;
X = Y;
}
}
return(X);
}
return(null);
}
/// <summary>
/// Returns normalize or unit vector of this.
/// </summary>
/// <returns></returns>
public Dot GetUnitVector()
{
float l = DotMath.Distance(this, new Dot(0, 0));
return(new Dot(this.X / l, this.Y / l));
}
/// <summary>
/// Returns normalize or unit vector by "d"
/// </summary>
/// <param name="d">Dot vector</param>
/// <returns></returns>
public static Dot GetUnitVector(Dot d)
{
float l = DotMath.Distance(d, new Dot(0, 0));
return(new Dot(d.X / l, d.Y / l));
}
private void timerTick(object sender, EventArgs e)
{
gr.SmoothingMode = SmoothingMode.HighQuality;
gr.FillRectangle(new SolidBrush(Color.FromArgb(20, 0, 0, 0)), new Rectangle(0, 0, Screen.Width, Screen.Height));
Dot M = new Dot(mouse.x, mouse.y);
#region old tests
// ---------- POLYGON INTERSECT
/*if (LMDMono2D.DotMath.IsDotInPolygon(ds, new Dot(mouse.x, mouse.y)) == true)
* {
* gr.FillPolygon(new SolidBrush(Color.White), Dot.ToPoints(ds));
* }
* gr.DrawPolygon(new Pen(Color.White, 1), Dot.ToPoints(ds));
* gr.FillRectangle(new SolidBrush(Color.Green), new RectangleF(mouse.x - 2, mouse.y - 2, 4, 4));*/
// ---------- STRAIGHTS INTERSECT
/*Dot A = new Dot(40, 40);
* Dot B = new Dot(80, 50);
* Dot C = new Dot(70, 120);
* Dot D = new Dot(mouse.x, mouse.y);
*
* gr.FillRectangle(new SolidBrush(Color.White), new RectangleF(A.X - 2, A.Y - 2, 4, 4));
* gr.FillRectangle(new SolidBrush(Color.White), new RectangleF(B.X - 2, B.Y - 2, 4, 4));
*
* gr.FillRectangle(new SolidBrush(Color.White), new RectangleF(C.X - 2, C.Y - 2, 4, 4));
* gr.FillRectangle(new SolidBrush(Color.White), new RectangleF(D.X - 2, D.Y - 2, 4, 4));
*
* Pen p = new Pen(Color.White, 1);
* if (DotMath.IsLineIntersect(A, B, C, D) == true) { p.Color = Color.Green; }
* gr.DrawLine(p, A, B);
* gr.DrawLine(p, C, D);*/
// ---------- POLYGON ROTATE / SCALING and MOVING
/*Dot cent = DotMath.PolygonCenter(ds);
* ds = DotMath.Translate(ds, -cent.X, -cent.Y);
* ds = DotMath.Rotate(ds, 0.02f);
* ds = DotMath.Translate(ds, cent.X, cent.Y);
*
* float s = (float)System.Math.Abs(System.Math.Sin(System.Environment.TickCount / 1000f)) * 1f + 0.5f;
*
* cent = DotMath.PolygonCenter(ds);
* ds = DotMath.Translate(ds, -cent.X, -cent.Y);
* ds = DotMath.Scale(ds, s);
* ds = DotMath.Translate(ds, cent.X * s, cent.Y * s);
*
* if (DotMath.IsDotInPolygon(ds, new Dot(mouse.x, mouse.y)) == true)
* {
* gr.FillPolygon(new SolidBrush(Color.White), Dot.ToPoints(ds));
* }
* gr.DrawPolygon(new Pen(Color.White, 1), Dot.ToPoints(ds));
*
* ds = DotMath.Scale(ds, 1f / s);*/
// ---------- DOT PROJECTION
/*Dot A = new Dot(40, 40);
* Dot B = new Dot(80, 50);
* Dot D = new Dot(mouse.x, mouse.y);
* Dot C = DotMath.DotStraightProjection(A, B, D);
*
* gr.FillRectangle(new SolidBrush(Color.White), new RectangleF(A.X - 2, A.Y - 2, 4, 4));
* gr.FillRectangle(new SolidBrush(Color.White), new RectangleF(B.X - 2, B.Y - 2, 4, 4));
*
* gr.FillRectangle(new SolidBrush(Color.White), new RectangleF(C.X - 2, C.Y - 2, 4, 4));
* gr.FillRectangle(new SolidBrush(Color.White), new RectangleF(D.X - 2, D.Y - 2, 4, 4));
*
* Dot[] AB = LMDMono2D.DotMath.GetLineByPoints(A, B, 400f);
* Dot[] CD = LMDMono2D.DotMath.GetLineByPoints(C, D);
*
* gr.DrawLine(new Pen(Color.White, 1), AB[0], AB[1]);
* gr.DrawLine(new Pen(Color.White, 1), CD[0], CD[1]);
*
* Dot inter = C; // DotMath.StraightLineIntersect(A, B, C, D);
* gr.DrawString(inter.ToString(), new Font("arial", 10), new SolidBrush(Color.White), new PointF(0, 0));
* gr.DrawString("Distance " + DotMath.Distance(C, D), new Font("arial", 10), new SolidBrush(Color.White), new PointF(0, 18));
* gr.FillRectangle(new SolidBrush(Color.Red), inter.X - 2, inter.Y - 2, 4, 4);*/
/*Dot A = new Dot(100f, 100f);
* Dot B = new Dot(100f, 150f);
*
* B -= A;
* B.P += (float)((System.Environment.TickCount / 1000f) % (System.Math.PI * 2f));
* B += A;
*
* Dot C = new Dot(B) + new Dot(10f, 0f);
* C -= B;
* C.P = (B - A).P + 1.57f;
* C.L = 10f;
* C += B;
*
* gr.DrawLine(new Pen(Color.White, 1), A, B);
* gr.DrawLine(new Pen(Color.White, 1), B, C);*/
#endregion
Dot[] ds2;
ds2 = DotMath.RotateFrom(ds, DotMath.PolygonCenter(ds), (float)System.Environment.TickCount / 5000f);
ds2 = DotMath.Translate(ds2, new Dot(100f, 80f));
ds2 = DotMath.ScaleFrom(ds2, DotMath.PolygonCenter(ds2), 2f);
if (DotMath.IsDotInPolygon(ds2, M))
{
gr.FillPolygon(new SolidBrush(Color.White), Dot.ToPoints(ds2));
}
gr.DrawPolygon(new Pen(Color.White, 1), Dot.ToPoints(ds2));
Pen p = new Pen(Color.White, 1);
Dot X = DotMath.DotClosestPolygon(ds2, M);
Dot NV = X - M;
NV = NV.GetUnitVector();
NV.P += (float)System.Math.PI / 2f;
NV.L *= 20f;
Dot OX = new Dot(20f, 0f);
gr.DrawLine(new Pen(Color.White, 1), X, M);
gr.DrawLine(new Pen(Color.White, 1), M - NV, M + NV);
gr.DrawLine(new Pen(Color.White, 1), M - OX, M + OX);
float sangle = DotMath.StraightsAngle(new Dot(), NV, new Dot(), OX);
gr.DrawArc(new Pen(Color.White, 1), new RectangleF(M.X - 20f, M.Y - 20f, 40f, 40f), 0f, (float)(System.Math.PI - (sangle * (360f / (System.Math.PI * 2f)))));
if (X != null)
{
gr.FillEllipse(new SolidBrush(Color.Black), X.X - 3, X.Y - 3, 6, 6);
gr.DrawEllipse(new Pen(Color.White, 1), X.X - 3, X.Y - 3, 6, 6);
}
gr.DrawString("Angle: " + (sangle * (360f / (System.Math.PI * 2f))).ToString(), new Font("Arial", 10), new SolidBrush(Color.White), new Point(0, 260));
gr.DrawString("Distance: " + DotMath.Distance(X, M).ToString(), new Font("Arial", 10), new SolidBrush(Color.White), new Point(0, 280));
gr.DrawString("LMDMono2D.DotMath V1.1 Release", new Font("Arial", 10), new SolidBrush(Color.White), new Point(180, 280));
/*Pen pOrange = new Pen(Color.Orange, 2);
* Pen pAqua = new Pen(Color.Aqua, 2);
* Pen pWhite = new Pen(Color.White, 2);
* SolidBrush sbBlack = new SolidBrush(Color.Black);
* SolidBrush sbWhite = new SolidBrush(Color.White);
* SolidBrush sbOrange = new SolidBrush(Color.Orange);
* SolidBrush sbAqua = new SolidBrush(Color.Aqua);
*
* Dot X = DotMath.DotClosestPolygon(ds, M);
*
* gr.DrawLines(pOrange, Dot.ToPoints(ds));
* gr.DrawLine(pOrange, ds[ds.Length - 1], ds[0]);
* gr.DrawLine(pAqua, X, M);
*
* gr.FillEllipse(sbBlack, X.X - 4, X.Y - 4, 8, 8);
* gr.DrawEllipse(pAqua, X.X - 4, X.Y - 4, 8, 8);*/
gr.DrawString(FPS.ToString(), new Font("Arial", 10), new SolidBrush(Color.White), new Point(380, 0));
Screen.Image = bit;
FPSnow++;
}
