public static Inclusions PointInCircle0(
double centerX, double centerY,
double radius,
double x, double y)
{
var distance = Distance2DTests.Distance2D(centerX, centerY, x, y);
return((radius >= distance) ? ((Abs(radius - distance) < DoubleEpsilon) ? Inclusions.Boundary : Inclusions.Inside) : Inclusions.Outside);
}
public static Circle2D?TripointCircle(
double PointAX, double PointAY,
double PointBX, double PointBY,
double PointCX, double PointCY)
{
(var X, var Y) = CircleCenterThreePointsTests.CenterCircleThreePoints(PointAX, PointAY, PointBX, PointBY, PointCX, PointCY) ?? (0d, 0d);
var radius = Distance2DTests.Distance2D(X, Y, PointAX, PointAY);
return(new Circle2D(X, Y, radius));
}
public static Rectangle2D TripointCircleBounds(
double PointAX, double PointAY,
double PointBX, double PointBY,
double PointCX, double PointCY)
{
(var X, var Y) = CircleCenterThreePointsTests.CenterCircleThreePoints(PointAX, PointAY, PointBX, PointBY, PointCX, PointCY) ?? (0d, 0d);
var Radius = Distance2DTests.Distance2D(X, Y, PointAX, PointAY);
return(Rectangle2D.FromLTRB(X - Radius, Y - Radius, X + Radius, Y + Radius));
}
public static (double x, double y) TriangleCenter1(double ax, double ay, double bx, double by, double cx, double cy)
{
var a = Distance2DTests.Distance2D(bx, by, cx, cy);
var b = Distance2DTests.Distance2D(ax, ay, cx, cy);
var c = Distance2DTests.Distance2D(bx, by, ax, ay);
var p = a + b + c;
// This will throw if the center is the origin...
return(
x : ((a * ax) + (b * bx) + (c * cx)) / p,
y : ((a * ay) + (b * by) + (c * cy)) / p
);
}
public static bool PointOnLine(
double segmentAX,
double segmentAY,
double segmentBX,
double segmentBY,
double pointX,
double pointY)
{
var Length1 = Distance2DTests.Distance2D(pointX, pointY, segmentBX, segmentBY);
// Sqrt((Point.X - Line.B.X) ^ 2 + (Point.Y - Line.B.Y))
var Length2 = Distance2DTests.Distance2D(pointX, pointY, segmentAX, segmentAY);
// Sqrt((Point.X - Line.A.X) ^ 2 + (Point.Y - Line.A.Y))
return(Abs(Distance2DTests.Distance2D(segmentAX, segmentAY, segmentBX, segmentBY) - Length1 + Length2) < DoubleEpsilon);
}