public bool PointTopLeft(SystemCoordinates x)
{
if (vertical)
{
if (x.X < b)
{
return(true);
}
else
{
return(false);
}
}
else
{
if (k == 0 && x.Y > b)
{
return(true);
}
if (k == 0)
{
return(false);
}
SystemCoordinates sss = BuildSecondCoordinate(x.X);
if (sss.Y > x.Y)
{
return(true);
}
else
{
return(false);
}
}
}
public DoubleExtention DistanceToPoint(SystemCoordinates alpha)
{
List <DoubleExtention> dist = new List <DoubleExtention>();
if (ULimitSet && LLimitSet)
{
dist.Add(alpha.Distance(ULimitPoint));
dist.Add(alpha.Distance(LLimitPoint));
}
Line a = new Line(alpha, center);
a.FirstEnd = center;
List <SystemCoordinates> p = IntersectionWithInfLine(a);
//if(IntersectionWithLine(a).Count!=0)
foreach (var x in p)
{
dist.Add(x.Distance(alpha));
}
//dist.Add(this.IntersectionWithLine(a)[0].Distance(alpha));
DoubleExtention min = dist[0];
foreach (var z in dist)
{
if (z < min)
{
min = z;
}
}
return(min);
}
public Line(SystemCoordinates p, Angle alpha)
{
if ((DoubleExtention)alpha == 90 || (DoubleExtention)alpha == 270)
{
vertical = true;
b = p.X;
k = 2000000000;
}
else
if ((DoubleExtention)alpha == 0 || (DoubleExtention)alpha == 180)
{
b = p.Y;
k = 0;
vertical = false;
}
else
{
k = alpha.tg();
DoubleExtention ty = k * p.X;
DoubleExtention tb = p.Y - ty;
b = tb;
vertical = false;
}
FirstEnd = p;
AngleForOnePointLines = alpha;
}
public Circle(SystemCoordinates p1, SystemCoordinates p2, SystemCoordinates p3)
{
DoubleExtention x1 = p1.X;
DoubleExtention x2 = p2.X;
DoubleExtention x3 = p3.X;
DoubleExtention y1 = p1.Y;
DoubleExtention y2 = p2.Y;
DoubleExtention y3 = p3.Y;
DoubleExtention alpha = (x1 * x1 + y1 * y1 - x3 * x3 - y3 * y3) / 2;
DoubleExtention betaa = (x2 * x2 + y2 * y2 - x3 * x3 - y3 * y3) / 2;
DoubleExtention b;
DoubleExtention a;
if (x1 == x3)
{
b = alpha / (y1 - y3);
a = (betaa - b * (y2 - y3)) / (x2 - x3);
}
else
if (x2 == x3)
{
b = betaa / (y2 - y3);
a = (alpha - b * (y1 - y3)) / (x1 - x3);
}
else
{
DoubleExtention gamma = alpha / (x1 - x3) - betaa / (x2 - x3);
DoubleExtention lambda = (y1 - y3) / (x1 - x3) - (y2 - y3) / (x2 - x3);
b = gamma / lambda;
a = (alpha - b * (y1 - y3)) / (x1 - x3);
}
center = new SystemCoordinates(a, b);
radius = center.Distance(p1);
Line Z = new Line(center, p1, false);
Z.BuildAngle();
UpperLimitAngle = Z.AngleForOnePointLines;
Z = new Line(center, p3, false);
Z.BuildAngle();
LowerLimitAngle = Z.AngleForOnePointLines;
while (lowerLimitAngle > upperLimitAngle)
{
lowerLimitAngle -= (Math.PI * 2);
}
if (!PointIsBetweenEdges(p2))
{
DoubleExtention t = lowerLimitAngle;
lowerLimitAngle = upperLimitAngle;
upperLimitAngle = t;
while (lowerLimitAngle > upperLimitAngle)
{
lowerLimitAngle -= (Math.PI * 2);
}
while (upperLimitAngle < 0)
{
lowerLimitAngle += (Math.PI * 2);
upperLimitAngle += (Math.PI * 2);
}
}
}
public DoubleExtention Distance(SystemCoordinates point)
{
DoubleExtention a = (this.x - point.X) * (this.x - point.X) + (this.y - point.Y) * (this.y - point.Y);
a.sqrt_set();
return(a);
}
public Line BuildKasatelnaya(SystemCoordinates p)
{
Line Radius = new Line(p, center, false);
Radius.BuildAngle();
Line ret = Radius.BuildOrthogonalLine(p);
ret.BuildAngle();
return(ret);
}
public SystemCoordinates BuildPointReflection(SystemCoordinates point)
{
DoubleExtention a = point.X;
a -= this.x;
point.X -= (2 * a);
a = point.Y;
a -= this.y;
point.Y -= (2 * a);
return(point);
}
public void MoveTo(SystemCoordinates from, SystemCoordinates to)
{
center.X += to.X - from.X;
center.Y += to.Y - from.Y;
for (int aa = 0; aa < ringCol.Length; aa++)
{
ringCol[aa].X += to.X - from.X;
ringCol[aa].Y += to.Y - from.Y;
}
lineCol = new Line[ringCol.Length];
for (int aa = 0; aa < ringCol.Length - 1; aa++)
{
lineCol[aa] = new Line(ringCol[aa].Clone(), ringCol[aa + 1].Clone(), false);
}
lineCol[ringCol.Length - 1] = new Line(ringCol[ringCol.Length - 1].Clone(), ringCol[0].Clone(), false);
}
public Line(SystemCoordinates p1, SystemCoordinates p2, bool Infinite = true)
{
if (p1.X == p2.X)
{
vertical = true;
k = 2000000000;
b = p1.X;
}
else
{
k = (p2.Y - p1.Y) / (p2.X - p1.X);
b = -((p2.Y - p1.Y) / (p2.X - p1.X)) * p1.X + p1.Y;
vertical = false;
}
if (Infinite == false)
{
FirstEnd = p1;
SecondEnd = p2;
}
}
public static bool InOneLine(SystemCoordinates p1, SystemCoordinates p2, SystemCoordinates p3)
{
Line l = p1 + p2;
if (l.Vertical && p3.X == p1.X && p2.X == p1.X)
{
return(true);
}
if (l.Vertical)
{
return(false);
}
if (l.BuildSecondCoordinate(p3.X).Y == p3.Y)
{
return(true);
}
else
{
return(false);
}
}
public bool PointIsBetweenEdges(SystemCoordinates point)
{
if (LLimitSet && ULimitSet)
{
Line a = new Line(center, point, false);
a.BuildAngle();
DoubleExtention b = a.AngleForOnePointLines.GetInRadians();
if ((b >= lowerLimitAngle && b <= upperLimitAngle) || ((b - Math.PI * 2) >= lowerLimitAngle && (b - Math.PI * 2) <= upperLimitAngle) || ((b + Math.PI * 2) >= lowerLimitAngle && (b + Math.PI * 2) <= upperLimitAngle))
{
return(true);
}
else
{
return(false);
}
}
else
{
return(true);
}
}
public Line IntersectWithLine(Line toIntersect, out bool intersects, out SystemCoordinates point)
{
DoubleExtention dst;
SystemCoordinates s;
bool isIsecting = false;
Line isector = Line.Zero;
point = SystemCoordinates.Zero;
DoubleExtention distane = 10000;
foreach (var x in lineCol)
{
bool isect;
bool equal;
s = x.IntersectWithLine(toIntersect, out isect, out equal);
if (isect)
{
if (isIsecting == false)
{
isIsecting = true;
isector = x;
distane = s.Distance(toIntersect.FirstEnd);
point = s;
}
else
{
dst = s.Distance(toIntersect.FirstEnd);
if (dst < distane)
{
isector = x;
distane = dst;
point = s;
}
}
}
}
intersects = isIsecting;
return(isector);
}
public SystemCoordinates IntersectWithLine(Line line, out bool intersect, out bool equal)
{
if (line.Vertical == true)
#region This line is vertical
{
if (this.Vertical == true)
{
if (this.B == line.B)
{
intersect = true;
equal = true;
return(SystemCoordinates.Zero);
}
else
{
intersect = false;
equal = false;
return(SystemCoordinates.Zero);
}
}
}
#endregion
#region This line is not vertical
else
{
intersect = true;
equal = false;
SystemCoordinates toReturn = new SystemCoordinates(line.B, this.K * line.B + this.B);
if (IsBetweenEnds(toReturn) && line.IsBetweenEnds(toReturn))
{
return(toReturn);
}
else
{
intersect = false;
return(SystemCoordinates.Zero);
}
}
public Line BuildOrthogonalLine(SystemCoordinates a)
{
if (vertical == true)
{
if (a.X != b)
{
return(new Line(a, new SystemCoordinates(b, a.Y)));
}
else
{
return(new Line(new SystemCoordinates(a.X - 1, a.Y), new SystemCoordinates(b, a.Y)));
}
}
else
if (k != 0)
{
return(new Line(-1 / K, a.Y - (-1 / K) * a.X));
}
else
{
return(new Line(a.X));
}
}
public DoubleExtention DistanceToPoint(SystemCoordinates x)
{
Line X = BuildOrthogonalLine(x);
bool Intersect, Equal;
SystemCoordinates alpha = X.IntersectWithLine(this, out Intersect, out Equal);
if (Intersect == true)
{
return(alpha.Distance(x));
}
else
{
if (firstEndSet && secondEndSet)
{
return(Math.Min(x.Distance(firstEnd), x.Distance(secondEnd)));
}
if (firstEndSet)
{
return(x.Distance(firstEnd));
}
return(x.Distance(secondEnd));
}
}
public Line BuildKasatelnaya(Line Intersect, out bool PointFound, out SystemCoordinates IntersectPoint)
{
try
{
var points_i = this.IntersectionWithLine(Intersect);
var points_inf = this.IntersectionWithInfLine(Intersect);
if (points_i.Count == 0)
{
PointFound = false;
IntersectPoint = SystemCoordinates.Zero;
return(Line.Zero);
}
if (points_i.Count == 1 && points_inf.Count == 1 && ULimitSet == false)
{
PointFound = false;
IntersectPoint = SystemCoordinates.Zero;
return(Line.Zero);
}
SystemCoordinates point;
if (points_i.Count == 1)
{
point = points_i[0];
}
else if (points_i.Count == 2)
{
if (Intersect.FirstEndSet)
{
DoubleExtention d = Intersect.FirstEnd.Distance(points_i[0]);
if (d > Intersect.FirstEnd.Distance(points_i[1]))
{
point = points_i[1];
}
else
{
point = points_i[0];
}
}
else
{
DoubleExtention d = Intersect.SecondEnd.Distance(points_i[0]);
if (d > Intersect.SecondEnd.Distance(points_i[1]))
{
point = points_i[1];
}
else
{
point = points_i[0];
}
}
}
else
{
point = points_i[0];
}
IntersectPoint = point;
Line prlLine = this.BuildKasatelnaya(point);
PointFound = true;
return(prlLine);
}
catch (Exception)
{
throw;
}
}
public List <SystemCoordinates> IntersectionWithLine(Line line)
{
List <SystemCoordinates> ToReturn = new List <SystemCoordinates>();
if (line.Vertical == true)
{
//Якщо пряма вертикальна, то line.B == X;
if ((line.B < (center.X - radius)) || (line.B > (center.X + radius)))
{
//Якщо вертикальня лінія не торкається кола - нічого не робимо
}
else
if ((line.B == (center.X - radius)) || (line.B == (center.X + radius)))
{
//Якщо вертикальня лінія дотикаєтся до кола - додаємо координати дотику
SystemCoordinates Coords = new SystemCoordinates(line.B, center.Y);
ToReturn.Add(Coords);
}
else
if (line.B == center.X)
{
//Якщо вертикальня лінія перетинає коло по діаметру - додаємо координати перетину
ToReturn.Add(new SystemCoordinates(line.B, center.Y + radius));
ToReturn.Add(new SystemCoordinates(line.B, center.Y - radius));
}
else
{
//Якщо вертикальня лінія перетинає коло не по діаметру - додаємо координати перетину
ToReturn.Add(new SystemCoordinates(line.B, center.Y + Math.Sqrt(radius * radius - (line.B - center.X) * (line.B - center.X))));
ToReturn.Add(new SystemCoordinates(line.B, center.Y - Math.Sqrt(radius * radius - (line.B - center.X) * (line.B - center.X))));
}
}
else
{
//Якщо пряма не вертикальна, то використовуємо формули, виведені з таких двох рівнянь:
//y = k*x + b
//(x-a)^2 + (y-b)^2 = R^2
DoubleExtention C = -(radius * radius - center.X * center.X - center.Y * center.Y - line.B * line.B +
2 * line.B * center.Y);
DoubleExtention B = 2 * (line.K * line.B - center.X - line.K * center.Y);
DoubleExtention A = 1 + line.K * line.K;
DoubleExtention D = B * B - 4 * A * C;
if (D == 0) //Якщо пряма дотикається до кола
{
DoubleExtention X = -B / (2 * A);
DoubleExtention Y = line.K * X + line.B;
ToReturn.Add(new SystemCoordinates(X, Y));
}
else if (D > 0) //Якщо пряма пернетинає коло
{
DoubleExtention X1 = (-B + D.sqrt()) / (2 * A);
DoubleExtention X2 = (-B - D.sqrt()) / (2 * A);
ToReturn.Add(new SystemCoordinates(X1, line.K * X1 + line.B));
ToReturn.Add(new SystemCoordinates(X2, line.K * X2 + line.B));
}
}
List <SystemCoordinates> Toreturn = new List <SystemCoordinates>();
foreach (var e in ToReturn)
{
if (line.IsBetweenEnds(e))
{
Toreturn.Add(e);
}
} //Перевірка на належність отриманих координат прямій (бо пряма може бути променєм або відрізком)
if (ULimitSet && LLimitSet)
{
List <SystemCoordinates> a = new List <SystemCoordinates>();
foreach (var z in Toreturn)
{
if (PointIsBetweenEdges(z))
{
a.Add(z);
}
}
Toreturn = a;
} //Перевірка на належність отриманих координат колу (бо коло може бути лише частиною кола, а не повним колом)
return(Toreturn);
}
public void MoveTo(SystemCoordinates from, SystemCoordinates to)
{
SystemCoordinates diff = to - from;
center = new SystemCoordinates(center.X + diff.X, center.Y + diff.Y);
}
public Circle(SystemCoordinates Center, DoubleExtention Radius)
{
center = Center;
radius = Radius;
}
public SystemCoordinates(SystemCoordinates Coords)
{
x = Coords.X;
y = Coords.Y;
}
public List <SystemCoordinates> IntersectionWithInfLine(Line line)
{
List <SystemCoordinates> ToReturn = new List <SystemCoordinates>();
if (line.Vertical == true)
{
if ((line.B < (center.X - radius)) || (line.B > (center.X + radius)))
{
//return ToReturn;
}
else
if ((line.B == (center.X - radius)) || (line.B == (center.X + radius)))
{
//List<SystemCoordinates> ToReturn = new List<SystemCoordinates>();
SystemCoordinates Coords = new SystemCoordinates(line.B, center.Y);
ToReturn.Add(Coords);
//return ToReturn;
}
else
if (line.B == center.X)
{
//List<SystemCoordinates> ToReturn = new List<SystemCoordinates>();
ToReturn.Add(new SystemCoordinates(line.B, center.Y + radius));
ToReturn.Add(new SystemCoordinates(line.B, center.Y - radius));
//return ToReturn;
}
else
{
//List<SystemCoordinates> ToReturn = new List<SystemCoordinates>();
ToReturn.Add(new SystemCoordinates(line.B, center.Y + Math.Sqrt(radius * radius - (line.B - center.X) * (line.B - center.X))));
ToReturn.Add(new SystemCoordinates(line.B, center.Y - Math.Sqrt(radius * radius - (line.B - center.X) * (line.B - center.X))));
//return ToReturn;
}
}
else
{
/*DoubleExtention a = line.K * line.K + 1;
* DoubleExtention b = center.X - line.K * line.B + line.K * center.Y;
* DoubleExtention c = center.X * center.X + (center.Y - line.B) * (center.Y - line.B) - radius * radius;
* DoubleExtention x1 = (-b + Math.Sqrt(b * b - a * c)) / a;
* DoubleExtention x2 = (-b - Math.Sqrt(b * b - a * c)) / a;
* DoubleExtention y1 = line.K * x1 + line.B;
* DoubleExtention y2 = line.K * x2 + line.B;*/
DoubleExtention C = -(radius * radius - center.X * center.X - center.Y * center.Y - line.B * line.B +
2 * line.B * center.Y);
DoubleExtention B = 2 * (line.K * line.B - center.X - line.K * center.Y);
DoubleExtention A = 1 + line.K * line.K;
DoubleExtention D = B * B - 4 * A * C;
if (D == 0)
{
DoubleExtention X = -B / (2 * A);
DoubleExtention Y = line.K * X + line.B;
ToReturn.Add(new SystemCoordinates(X, Y));
}
else if (D > 0)
{
DoubleExtention X1 = (-B + D.sqrt()) / (2 * A);
DoubleExtention X2 = (-B - D.sqrt()) / (2 * A);
ToReturn.Add(new SystemCoordinates(X1, line.K * X1 + line.B));
ToReturn.Add(new SystemCoordinates(X2, line.K * X2 + line.B));
}
//List<SystemCoordinates> ToReturn = new List<SystemCoordinates>();
/*ToReturn.Add(new SystemCoordinates(x1, y1));
* ToReturn.Add(new SystemCoordinates(x2, y2));*/
//return ToReturn;
}
if (ULimitSet && LLimitSet)
{
List <SystemCoordinates> a = new List <SystemCoordinates>();
foreach (var z in ToReturn)
{
if (PointIsBetweenEdges(z))
{
a.Add(z);
}
}
ToReturn = a;
}
return(ToReturn);
}
/// <summary>
/// Конвертация координат из системных в экранные и наоборот
/// </summary>
/// <param name="Point">Точка в системе</param>
/// <returns></returns>
public Point Converter(SystemCoordinates Point)
{
return(Converter(Point.X, Point.Y));
}