public static bool IsOnTheLine(this Point point, CustomLine line)
{
double distance = point.GetDistanceToLine(line);
if (distance > line.StrokeThickness)
{
return(false);
}
//double line_X1 = line.X1;
//double line_X2 = line.X2;
//double line_Y1 = line.Y1;
//double line_Y2 = line.Y2;
return(true);
}
public static Point GetProjectionPointOnLine(this Point point, CustomLine line)
{
var equation = line.Equation;
// line = Ax + By + C = 0
// perpendicular line = -Bx + Ay + C1 = 0
double A = equation.A, B = equation.B, C = equation.C;
double D = -B, E = A, F = -D * point.X - E * point.Y;
double det = A * E - B * D;
double X = (C * E - B * F) / det;
double Y = (A * F - C * D) / det;
return(new Point(-X, -Y));
}
public static Point GetPerpendicularPoint(this CustomLine line, Point point)
{
var A1 = line.Equation.A;
var B1 = line.Equation.B;
var C1 = line.Equation.C;
var A2 = -B1;
var B2 = A1;
var C2 = -(A2 * point.X + B2 * point.Y);
var X = B1 * C2 - B2 * C1;
var Y = A2 * C1 - A1 * C2;
var Z = A1 * B2 - A2 * B1;
return(new Point(X / Z, -Y / Z));
}
private void ChoosePoint_handler(CustomLine line, Point point)
{
if (line.IsSelected())
{
line.IsPressed_Point_1 = false;
line.IsPressed_Point_2 = false;
if (line.IsNearToPoint1(point))
{
line.IsPressed_Point_1 = true;
}
else if (line.IsNearToPoint2(point))
{
line.IsPressed_Point_2 = true;
}
lastMousePosition = point;
}
}
private CustomLine InitLine(double x1, double y1, double x2, double y2, double z1 = 0, double z2 = 0)
{
CustomLine line = new CustomLine(new SolidColorBrush((Color)ColorPicker.SelectedColor))
{
X1 = x1,
Y1 = y1,
Z1 = z1,
X2 = x2,
Y2 = y2,
Z2 = z2,
StrokeThickness = 5,
originalPoint1 = new Point3D(int.MaxValue, int.MaxValue, int.MaxValue),
originalPoint2 = new Point3D(int.MaxValue, int.MaxValue, int.MaxValue)
};
AddEventsOnLine(line);
return(line);
}
public static Tuple <Point, Point> GetBisectorPoint(CustomLine firstLine, CustomLine secondLine)
{
var A1 = firstLine.Equation.A;
var B1 = firstLine.Equation.B;
var C1 = firstLine.Equation.C;
var A2 = secondLine.Equation.A;
var B2 = secondLine.Equation.B;
var C2 = secondLine.Equation.C;
//var firstPossibleA = A1 * sqrt2 - A2 * sqrt1;
//var secondPossibleA = A1 * sqrt2 + A2 * sqrt1;
//var firstPossibleB = B1 * sqrt2 - B2 * sqrt1;
//var secondPossibleB = B1 * sqrt2 + B2 * sqrt1;
//var firstPossibleC = C1 * sqrt2 - C2 * sqrt1;
//var secondPossibleC = C1 * sqrt2 + C2 * sqrt1;
var intersection = GetIntersection(firstLine, secondLine);
var length1 = Math.Sqrt(Math.Pow(intersection.X - firstLine.X1, 2) + Math.Pow(intersection.Y - firstLine.Y1, 2));
var length2 = Math.Sqrt(Math.Pow(intersection.X - secondLine.X1, 2) + Math.Pow(intersection.Y - secondLine.Y1, 2));
//var possiblePoint1 = new Point(0, -firstPossibleC / firstPossibleB);
//var possiblePoint2 = new Point(-firstPossibleC / firstPossibleA, 0);
//var possiblePoint3 = new Point(intersection.X, intersection.Y);
//var x = rnd.Next(-2000, 2000);
// y = -Bx -C / A
//var possiblePoint4 = new Point(x, (-secondPossibleB* x - secondPossibleC) / secondPossibleA);
//x = -c/a
var lambda = length1 / length2;
var x = (firstLine.X1 + lambda * secondLine.X1) / (1 + lambda);
var y = (firstLine.Y1 + lambda * secondLine.Y1) / (1 + lambda);
return(new Tuple <Point, Point>(new Point(intersection.X, intersection.Y), new Point(x, y)));
}
private void SelectLine_Handler(CustomLine line, MouseButtonEventArgs ea)
{
var parent = line.GetParent();
if (ea.ClickCount == 3)
{
if (parent == null)
{
DivideLine_Click(line, ea);
}
}
else if (ea.ClickCount == 2)
{
additionLinesWindow?.Reset();
if (parent != null)
{
while (parent.GetParent() != null)
{
parent = parent.GetParent();
}
}
else
{
parent = line;
}
if (parent.IsSelected())
{
parent.UnSelect();
selectedObjects.Remove(parent);
morphWindow?.RemoveObject(parent);
}
else
{
parent.Select();
selectedObjects.Add(parent);
morphWindow?.AddObject(parent);
}
}
}
public static bool CheckBisector(CustomLine firstLine, CustomLine secondLine)
{
var matrix = new Matrix3D(firstLine.X1 - firstLine.X2, firstLine.Y1 - firstLine.Y2, firstLine.Z1 - firstLine.Z2, 0,
secondLine.X1 - secondLine.X2, secondLine.Y1 - secondLine.Y2, secondLine.Z1 - secondLine.Z2, 0,
firstLine.X1 - secondLine.X1, firstLine.Y1 - secondLine.Y1, firstLine.Z1 - secondLine.Z1, 0,
0, 0, 0, 1);
if (matrix.Determinant != 0)
{
return(false);
}
;
var ok = true;
var first = (firstLine.X1 - firstLine.X2) * (secondLine.Y1 - secondLine.Y2) * (secondLine.Z1 - secondLine.Z2);
var second = (secondLine.X1 - secondLine.X2) * (firstLine.Y1 - firstLine.Y2) * (secondLine.Z1 - secondLine.Z2);
ok &= first == second;
second = (secondLine.X1 - secondLine.X2) * (secondLine.Y1 - secondLine.Y2) * (firstLine.Z1 - firstLine.Z2);
ok &= first == second;
return(ok);
}
private void DivideLine_Click(CustomLine line, MouseButtonEventArgs e)
{
//wont work due to Z cord;
return;
if (selectedObjects.Count != 1)
{
return;
}
var selectedLine = selectedObjects.FirstOrDefault();
if (!(selectedLine is IMyObject))
{
return;
}
var position = e.GetPosition(Canvas);
position.Offset(-CordCenter.X, -CordCenter.Y);
var x = position.X;
var y = position.Y;
var newLine = InitLine(x, y, line.X2, line.Y2);
line.X2 = x;
line.Y2 = y;
if (selectedLine != null)
{
selectedLine.UnSelect();
selectedObjects.Remove(selectedLine);
}
line.Select();
selectedObjects.Add(line);
Canvas.Children.Add(newLine);
}
private string GetStringOnLine(string offset, CustomLine line)
{
return($"{offset}({line.X1:00.00};{line.Y1:00.00};{line.Z1:00.00}) " +
$"({line.X2:00.00};{line.Y2:00.00};{line.Z2:00.00})\n" +
$"{offset} {line.Equation}\n");
}
private void AddEventsOnLine(CustomLine line)
{
line.MouseLeftButtonDown += delegate(object s, MouseButtonEventArgs ea)
{
var point = ea.GetPosition(Canvas);
point.Offset(-CordCenter.X, -CordCenter.Y);
if (line.GetParent() == null)
{
ChoosePoint_handler(line, point);
}
SelectLine_Handler(line, ea);
};
line.MouseLeftButtonUp += delegate(object s, MouseButtonEventArgs ea)
{
line.IsPressed_Point_1 = false;
line.IsPressed_Point_2 = false;
};
line.PreviewMouseRightButtonDown += delegate(object s, MouseButtonEventArgs ea)
{
var point = ea.GetPosition(Canvas);
point.Offset(-CordCenter.X, -CordCenter.Y);
if (line.GetParent() == null)
{
ChoosePoint_handler(line, point);
}
SetPointsInfo(point, line);
};
line.PreviewMouseRightButtonUp += delegate(object s, MouseButtonEventArgs ea)
{
var point = ea.GetPosition(Canvas);
point.Offset(CordCenter.X, CordCenter.Y);
};
line.MouseEnter += delegate(object s, MouseEventArgs ea)
{
if (line.IsSelected())
{
Cursor = Cursors.Hand;
}
//line.IsNotEntered = true;
//if (ea.LeftButton == MouseButtonState.Pressed && !(line.IsPressed_Point_1 || line.IsPressed_Point_2))
//{
// line.IsNotEntered = false;
//}
};
line.MouseMove += delegate(object s, MouseEventArgs ea)
{
if (ea.LeftButton != MouseButtonState.Pressed)
{
line.IsPressed_Point_1 = false;
line.IsPressed_Point_2 = false;
}
onLine = line;
SetPointsInfo(ea.GetPosition(Canvas), line);
var position = ea.GetPosition(Canvas);
position.Offset(-CordCenter.X, -CordCenter.Y);
if (line.IsSelected())
{
if (line.IsNearToPoint1(position) || line.IsNearToPoint2(position))
{
Cursor = Cursors.SizeAll;
}
else
{
Cursor = Cursors.Hand;
}
}
};
line.MouseLeave += delegate(object s, MouseEventArgs ea)
{
onLine = null;
Cursor = Cursors.Arrow;
};
line.MouseUp += delegate(object s, MouseButtonEventArgs ea)
{
Cursor = Cursors.Arrow;
};
}
public static double GetDistanceToLine(this Point point, CustomLine line)
{
return(Math.Abs(((line.X2 - line.X1) * (point.Y - line.Y1) - (line.Y2 - line.Y1) * (point.X - line.X1)) / Math.Sqrt(Math.Pow(line.X2 - line.X1, 2) + Math.Pow(line.Y2 - line.Y1, 2))));
}
public static Point GetMedianPoint(this CustomLine line)
{
return(new Point((line.X1 + line.X2) / 2, (line.Y1 + line.Y2) / 2));
}