/// <summary>
/// Calculates visibility coefficient of the two edges.
/// </summary>
///
/// <param name="ed1">
/// First edge to be used in calculation
/// </param>
///
/// <param name="ed2">
/// Second edge to be used in calculation
/// </param>
///
/// <returns>
/// Compatibility coefficient ranging from 0 to 1
/// </returns>
private float VisibilityCoefficient(EdgeGroupData ed1, EdgeGroupData ed2)
{
float c;
PointF p1 = ed1.v1;
PointF p2 = ed1.v2;
PointF q1 = ed2.v1;
PointF q2 = ed2.v2;
PointF pn = new PointF();
pn.X = p1.Y - p2.Y;
pn.Y = p2.X - p1.X;
PointF pn1 = pn + new SizeF(p1);
PointF pn2 = pn + new SizeF(p2);
PointF i1 = new PointF();
PointF i2 = new PointF();
float r1 = 0, r2 = 0;
if (!Intersects(q1, q2, p1, pn1, ref i1, ref r1))
{
return(0);
}
Intersects(q1, q2, p2, pn2, ref i2, ref r2);
if ((r1 < 0 && r2 < 0) || (r1 > 1 && r2 > 1))
{
return(0);
}
PointF im = VectorTools.MidPoint(i1, i2);
PointF qm = ed2.middle;
float i = VectorTools.Distance(i1, i2);
float m = VectorTools.Distance(qm, im);
if (i == 0)
{
return(0);
}
c = 1f - 2f * m / i;
if (c < 0)
{
return(0);
}
else
{
return(c);
}
}
/// <summary>
/// Calculates position compatibility of the two edges
/// </summary>
///
/// <param name="ed1">
/// First edge to be used in calculation
/// </param>
///
/// <param name="ed2">
/// Second edge to be used in calculation
/// </param>
///
/// <returns>
/// Position compatibility coefficient ranging from 0 to 1
/// </returns>
private float PositionCompatibility(EdgeGroupData ed1, EdgeGroupData ed2)
{
float avg = (ed1.length + ed2.length) / 2;
float dis = VectorTools.Distance(ed1.middle, ed2.middle);
if ((avg + dis) == 0)
{
return(0);
}
return(avg / (avg + dis));
}
/// <summary>
/// Calculates directedness of the two edges.
/// </summary>
///
/// <param name="ed1">
/// First edge to be used in calculation
/// </param>
///
/// <param name="ed2">
/// Second edge to be used in calculation
/// </param>
///
/// <returns>
/// True if edges have roughly the same direction, false otherwise
/// </returns>
private bool CalculateDirectedness(EdgeGroupData ed1, EdgeGroupData ed2)
{
if ((VectorTools.Distance(ed1.v1, ed2.v1) + VectorTools.Distance(ed1.v2, ed2.v2)) <
(VectorTools.Distance(ed1.v1, ed2.v2) + VectorTools.Distance(ed1.v2, ed2.v1)))
{
return(true);
}
else
{
return(false);
}
}
/// <summary>
/// Straightens the edges using internal data sturctures
/// </summary>
///
/// <param name="groupsToStraighten">
/// Groups of edges that should be straightened
/// </param>
///
/// <param name="s">
/// Specifies the amount of straightening, from 0 to 1
/// </param>
private void StraightenEdgesInternally(Dictionary <KeyPair, EdgeGroupData> groupsToStraighten, float s)
{
foreach (EdgeGroupData ed in groupsToStraighten.Values)
{
for (int i = 0; i < subdivisionPoints; i++)
{
PointF p = ed.controlPoints[i];
p = VectorTools.Multiply(p, 1 - s) +
new SizeF(VectorTools.Multiply(ed.v1 +
new SizeF(VectorTools.Multiply(ed.v2 -
new SizeF(ed.v1), 1.0f * (i + 1) / (subdivisionPoints + 1))), s));
ed.controlPoints[i].X = p.X;
ed.controlPoints[i].Y = p.Y;
}
}
}
/// <summary>
/// Finds an intersection point of the two lines
/// </summary>
///
/// <param name="p1">
/// First point of the first line
/// </param>
///
/// <param name="p2">
/// Second point of the first line
/// </param>
///
/// <param name="q1">
/// First point of the second line
/// </param>
///
/// <param name="q2">
/// Second point of the second line
/// </param>
///
/// <param name="intersection">
/// Point of intersection
/// </param>
///
/// <param name="rp">
/// Parameter used for determining on which segment the intersection point lies
/// </param>
///
/// <returns>
/// True if lines are not parallel, false otherwise
/// </returns>
private bool Intersects(PointF p1, PointF p2, PointF q1, PointF q2, ref PointF intersection, ref float rp)
{
float q = (p1.Y - q1.Y) * (q2.X - q1.X) - (p1.X - q1.X) * (q2.Y - q1.Y);
float d = (p2.X - p1.X) * (q2.Y - q1.Y) - (p2.Y - p1.Y) * (q2.X - q1.X);
if (d == 0) // parallel lines
{
return(false);
}
float r = q / d;
q = (p1.Y - q1.Y) * (p2.X - p1.X) - (p1.X - q1.X) * (p2.Y - p1.Y);
float s = q / d;
intersection = p1 + new SizeF(VectorTools.Multiply(p2 - new SizeF(p1), r));
return(true);
}
/// <summary>
/// Doubles subdivision points for an edge by adding one new subdivision point between each two
/// </summary>
///
/// <param name="ed">
/// Edge data that contains subdivision points to be doubled
/// </param>
private void DoubleSubdivisionPoints(EdgeGroupData ed)
{
if (subdivisionPoints == 0) //make one subdivision point
{
ed.k = springConstant * 2 / ed.length;
if (ed.k > 0.5f)
{
ed.k = 0.5f;
}
ed.controlPoints = new PointF[1];
ed.newControlPoints = new PointF[1];
ed.controlPoints[0] = ed.middle;
return;
}
PointF[] sPoints = ed.controlPoints;
PointF[] sPointsDoubled = new PointF[subdivisionPoints * 2 + 1];
ed.newControlPoints = new PointF[subdivisionPoints * 2 + 1];
for (int i = 0; i < subdivisionPoints; i++)
{
sPointsDoubled[i * 2 + 1] = sPoints[i];
}
for (int i = 0; i < subdivisionPoints - 1; i++)
{
sPointsDoubled[i * 2 + 2] = VectorTools.MidPoint(sPoints[i], sPoints[i + 1]);
}
sPointsDoubled[0] = VectorTools.MidPoint(ed.v1, sPoints[0]);
sPointsDoubled[subdivisionPoints * 2] = VectorTools.MidPoint(sPoints[subdivisionPoints - 1], ed.v2);
//ed.K = springConstant * (subdivisionPoints * 2 + 2) / ed.Length;
ed.k *= 2f;
if (ed.k > 0.5f)
{
ed.k = 0.5f;
}
ed.controlPoints = sPointsDoubled;
}
/// <summary>
/// Collects data from the specified edge.
/// Used for edges that already have control points metadata.
/// </summary>
///
/// <param name="e">
/// Edge to collect data from
/// </param>
private void AddExistingData(IEdge e)
{
EdgeGroupData ed;
KeyPair key = new KeyPair(e.Vertices[0].ID, e.Vertices[1].ID);
edgeGroupData.TryGetValue(key, out ed);
if (ed == null)
{
PointF p1 = e.Vertices[0].Location;
PointF p2 = e.Vertices[1].Location;
ed = new EdgeGroupData();
ed.v1 = p1;
ed.v2 = p2;
ed.id = key;
PointF mid = VectorTools.MidPoint(p1, p2);
ed.middle = mid;
ed.length = VectorTools.Distance(p1, p2);
ed.controlPoints = (PointF[])e.GetValue(ReservedMetadataKeys.PerEdgeIntermediateCurvePoints);
if (subdivisionPoints == 0)
{
subdivisionPoints = ed.controlPoints.Length;
}
ed.newControlPoints = new PointF[subdivisionPoints];
ed.k = springConstant * (subdivisionPoints + 1) / ed.length;
if (ed.k > 0.5f)
{
ed.k = 0.5f;
}
//ed.edges = new HashSet<int>();
ed.edgeCount = 0;
ed.compatibleGroups = new Dictionary <KeyPair, GroupPairData>();
edgeGroupData.Add(key, ed);
}
//ed.edges.Add(e.ID);
ed.edgeCount++;
}
/// <summary>
/// Moves the control points of all the edges of the graph closer to their original position on the straight edge
/// </summary>
///
/// <param name="graph">
/// Graph whose edges should be straightened
/// </param>
///
/// <param name="s">
/// Specifies the amount of straightening, from 0 to 1
/// </param>
public void StraightenEdges(IGraph graph, float s)
{
foreach (IEdge e in graph.Edges)
{
if (e.IsSelfLoop)
{
continue;
}
PointF[] controlPoints = (PointF[])e.GetValue(ReservedMetadataKeys.PerEdgeIntermediateCurvePoints);
PointF[] newControlPoints = new PointF[controlPoints.Length];
for (int i = 0; i < controlPoints.Length; i++)
{
PointF p = controlPoints[i];
p = VectorTools.Multiply(p, 1 - s) +
new SizeF(VectorTools.Multiply(e.Vertices[0].Location +
new SizeF(VectorTools.Multiply(e.Vertices[1].Location -
new SizeF(e.Vertices[0].Location), 1.0f * (i + 1) / (controlPoints.Length + 1))), s));
newControlPoints[i].X = p.X;
newControlPoints[i].Y = p.Y;
}
e.SetValue(ReservedMetadataKeys.PerEdgeIntermediateCurvePoints, newControlPoints);
}
}
/// <summary>
/// Calculates new positions for the control points of an edge by applying elastic and electrostatic forces to them
/// </summary>
///
/// <param name="o">
/// Edge data that contains subdivision points to be moved
/// </param>
private void CalculateNewControlPoints(Object o)
{
EdgeGroupData ed = (EdgeGroupData)o;
for (int i = 0; i < subdivisionPoints; i++)
{
PointF p = ed.controlPoints[i];
PointF p1, p2;
if (i == 0)
{
p1 = ed.v1;
}
else
{
p1 = ed.controlPoints[i - 1];
}
if (i == (subdivisionPoints - 1))
{
p2 = ed.v2;
}
else
{
p2 = ed.controlPoints[i + 1];
}
SizeF sp = new SizeF(p);
PointF f = VectorTools.Multiply((p1 - sp) + new SizeF((p2 - sp)), ed.k);
PointF r = new PointF(0, 0);
foreach (GroupPairData epd in ed.compatibleGroups.Values)
{
PointF q;
float j = 1f;
EdgeGroupData ed2;
if ((epd.ed1.id.k1 == ed.id.k1) && (epd.ed1.id.k2 == ed.id.k2))
{
ed2 = epd.ed2;
}
else
{
ed2 = epd.ed1;
}
if (epd.d)
{
q = ed2.controlPoints[i];
}
else
{
q = ed2.controlPoints[subdivisionPoints - i - 1];
if (directed && repulseOpposite)
{
j = repulsionCoefficient;
}
}
PointF fs = q - sp;
//PointF fs = new PointF(q.X - p.X, q.Y - p.Y);
float l = VectorTools.Length(fs);
if (l > 0)//???
{
fs = VectorTools.Multiply(fs, epd.c / (l));
//fs = VectorTools.Multiply(fs, VectorTools.Length(fs) * ed2.edges.Count);
fs = VectorTools.Multiply(fs, VectorTools.Length(fs) * ed2.edgeCount);
r.X += (j * fs.X);
r.Y += (j * fs.Y);
}
}
float rl = VectorTools.Length(r);
if (rl > 0)
{
r = VectorTools.Multiply(r, (float)(1.0 / Math.Sqrt(rl)));
}
PointF move = new PointF(f.X + r.X, f.Y + r.Y);
float moveL = VectorTools.Length(move);
//float len = ed.Length / (subdivisionPoints + 1);
//if (moveL > (len)) move = VectorTools.Multiply(move, len*cooldown / moveL);
//if (moveL != 0) move = VectorTools.Multiply(move, cooldown / moveL);
move = VectorTools.Multiply(move, cooldown * 0.5f);
ed.newControlPoints[i] = move + sp;
if (ed.newControlPoints[i].X < rectangle.Left)
{
ed.newControlPoints[i].X = rectangle.Left;
}
else
if (ed.newControlPoints[i].X > rectangle.Right)
{
ed.newControlPoints[i].X = rectangle.Right;
}
if (ed.newControlPoints[i].Y < rectangle.Top)
{
ed.newControlPoints[i].Y = rectangle.Top;
}
else
if (ed.newControlPoints[i].Y > rectangle.Bottom)
{
ed.newControlPoints[i].Y = rectangle.Bottom;
}
}
if (useThreading)
{
sem.Release();
}
}
/// <summary>
/// Calculates angle compatibility of the two edges
/// </summary>
///
/// <param name="ed1">
/// First edge to be used in calculation
/// </param>
///
/// <param name="ed2">
/// Second edge to be used in calculation
/// </param>
///
/// <returns>
/// Angle compatibility coefficient ranging from 0 to 1
/// </returns>
private float AngleCompatibility(EdgeGroupData ed1, EdgeGroupData ed2)
{
float a = VectorTools.Angle(ed1.v1, ed1.v2, ed2.v1, ed2.v2);
return((float)Math.Abs(Math.Cos(a)));
}
