static public float PointToLinear(IssoPoint2D pt, IssoPoint2D lineStart, IssoPoint2D lineEnd)
{
float a, b, c;
if (lineStart.X == lineEnd.X)
{
b = 0; a = 1; c = -lineStart.X;
}
else
if (lineStart.Y == lineEnd.Y)
{
b = 1; a = 0; c = lineStart.Y;
}
else
{
b = -1;
a = (lineEnd.Y - lineStart.Y) / (lineEnd.X - lineStart.X);
c = lineEnd.Y - lineEnd.X * a;
}
float d = (float)Math.Abs(((a * pt.X + b * pt.Y + c)) /
(Math.Sqrt(a * a + b * b)));
return(d);
}
public IssoRect2D(IssoPoint2D BottomLeft, float width, float height)
{
Corner1 = BottomLeft;
Corner2 = new IssoPoint2D {
X = Corner1.X + width, Y = Corner1.Y + height
};
}
internal void SetLastNodeAt(IssoPoint2D pt2)
{
if (node2 != null)
{
node2.MoveTo(pt2);
}
}
public static IssoPoint2D PurpPoint(IssoPoint2D pt, IssoPoint2D lineS, IssoPoint2D lineE)
{
// get dot product of e1, e2
IssoPoint2D e1 = new IssoPoint2D()
{
X = lineE.X - lineS.X, Y = lineE.Y - lineS.Y
};
IssoPoint2D e2 = new IssoPoint2D()
{
X = pt.X - lineS.X, Y = pt.Y - lineS.Y
};
float valDp = dotProduct(e1, e2);
// get length of vectors
float lenLineE1 = (float)Math.Sqrt(e1.X * e1.X + e1.Y * e1.Y);
float lenLineE2 = (float)Math.Sqrt(e2.X * e2.X + e2.Y * e2.Y);
float cos = valDp / (lenLineE1 * lenLineE2);
// length of v1P'
float projLenOfLine = cos * lenLineE2;
if (lenLineE1 * lenLineE2 == 0)
{
return(pt);
}
IssoPoint2D p = new IssoPoint2D()
{
X = (lineS.X + (projLenOfLine * e1.X) / lenLineE1),
Y = (lineS.Y + (projLenOfLine * e1.Y) / lenLineE1)
};
return(p);
}
public static float getEpsilon(IssoPoint2D p1, IssoPoint2D p2)
{
float dx1 = p2.X - p1.X;
float dy1 = p2.Y - p1.Y;
float epsilon = 0.003f * (dx1 * dx1 + dy1 * dy1);
return(epsilon);
}
public ComponentLinear SplitAt(IssoPoint2D pt)
{
ComponentNode node = new ComponentNode(pt);
ComponentLinear lin = new ComponentLinear(node, node2, Model);
node2 = node;
return(lin);
}
public IssoQuad2D(IssoPoint2D c1, IssoPoint2D c2, IssoPoint2D c3, IssoPoint2D c4)
{
// Создаём четырёхугольник по четырём точкам
corner1 = c1;
corner2 = c2;
corner1 = c1;
corner2 = c2;
}
public ComponentNode()
{
DisallowedDisplacements = new List <NodeDisplacement>();
location = new IssoPoint2D()
{
X = 0, Y = 0
};
state = ComponentState.csNormal;
}
public IssoBinding(IssoBindingType t, ComponentNode source, ComponentNode target, float dist)
{
Type = t;
this.source = source;
this.target = target;
Value = dist;
LinePlace = new IssoPoint2D()
{
X = source.Location.X, Y = source.Location.Y
};
}
static public float LineAngle(IssoPoint2D lineStart, IssoPoint2D lineEnd)
{
float len = PointDst(lineStart, lineEnd);
if (len > 0)
{
return((float)Math.Acos((lineEnd.X - lineStart.X) / len));
}
else
{
return(0);
}
}
static public IssoPoint2D MirrorPoint(IssoPoint2D point, IssoPoint2D AxisPoint1, IssoPoint2D AxisPoint2)
{
IssoPoint2D pt = new IssoPoint2D()
{
X = point.X, Y = point.Y
};
IssoPoint2D purpPt = PurpPoint(pt, AxisPoint1, AxisPoint2);
float dst = PointDst(pt, purpPt);
float ang = LineAngle(AxisPoint1, AxisPoint2);
pt.X = pt.X + Math.Sign(purpPt.X - pt.X) * dst * 2 * Math.Abs((float)Math.Cos(Math.PI / 2 - ang));
pt.Y = pt.Y + Math.Sign(purpPt.Y - pt.Y) * dst * 2 * Math.Abs((float)Math.Sin(Math.PI / 2 - ang));
return(pt);
}
public static bool isProjectedPointOnLineSegment(IssoPoint2D pt, ComponentLinear line)
{
// get dotproduct |e1| * |e2|
IssoPoint2D e1 = new IssoPoint2D()
{
X = line.End.X - line.Start.X, Y = line.End.Y - line.Start.Y
};
float recArea = dotProduct(e1, e1);
// dot product of |e1| * |e2|
IssoPoint2D e2 = new IssoPoint2D()
{
X = pt.X - line.Start.X, Y = pt.Y - line.Start.Y
};
double val = dotProduct(e1, e2);
return(val > 0 && val < recArea);
}
public static bool PointsOnLine(IssoPoint2D[] pts, IssoPoint2D[] line)
{
// Возвращает "истина" если все точки в pts лежат на отрезке, заданным двумя точками в Line
for (int i = 0; i < pts.Length; i++)
{
IssoPoint2D p = pts[i];
if (!((line[0].X <= p.X && p.X <= line[1].X) || (line[1].X <= p.X && p.X <= line[0].X)))
{
// test point not in x-range
return(false);
}
if (!((line[0].Y <= p.Y && p.Y <= line[1].Y) || (line[1].Y <= p.Y && p.Y <= line[0].Y)))
{
// test point not in y-range
return(false);
}
if (!isPointOnLineviaPDP(line[0], line[1], p))
{
return(false);
}
}
return(true);
}
public static IssoPoint2D PurpPoint(IssoPoint2D pt, ComponentLinear line)
{
return(PurpPoint(pt, line.Start, line.End));
}
internal void MoveTo(IssoPoint2D value)
{
location = value;
}
public IssoRect2D(IssoPoint2D c1, IssoPoint2D c2)
{
Corner1 = c1;
Corner2 = c2;
}
static public float PointToLinear(IssoPoint2D pt, ComponentLinear line)
{
return(PointToLinear(pt, line.Start, line.End));
}
private static float perpDotProduct(IssoPoint2D p1, IssoPoint2D p2, IssoPoint2D p)
{
return((p1.X - p.X) * (p2.Y - p.Y) - (p1.Y - p.Y) * (p2.X - p.X));
}
private static bool isPointOnLineviaPDP(IssoPoint2D p1, IssoPoint2D p2, IssoPoint2D p)
{
return(Math.Abs(perpDotProduct(p1, p2, p)) < getEpsilon(p1, p2));
}
public static float PointDst(IssoPoint2D pt1, IssoPoint2D pt2)
{
return((float)Math.Sqrt(Math.Pow(pt1.X - pt2.X, 2) + Math.Pow(pt1.Y - pt2.Y, 2)));
}
public static bool PointInRect(IssoPoint2D pt, IssoRect2D rect)
{
return((pt.X >= rect.TopLeft.X) && (pt.X <= rect.BottomRight.X) &&
(pt.Y >= rect.BottomRight.Y) && (pt.Y <= rect.TopLeft.Y));
}
public ComponentNode(IssoPoint2D location) : base()
{
DisallowedDisplacements = new List <NodeDisplacement>();
this.location = location;
state = ComponentState.csNormal;
}
private static float dotProduct(IssoPoint2D p1, IssoPoint2D p2)
{
return(p1.X * p2.X + p1.Y * p2.Y);
}