public List <List <Point> > GetFieldlines(List <Triangle> triangles, List <Point> points, double maxX, double maxY, double fiMax, double coef)
{
List <List <Point> > fieldlines = new List <List <Point> >();
var boundaryPoints = triangles.Where(tri => tri.SignBoundaryPointsCount > 0).Select(tri => tri.Circumcenter).ToList();
var usedTriangles = new List <Triangle>();
int i = 0;
foreach (var point in boundaryPoints)
{
Triangle t2d = new Triangle(new Point(0, 10), new Point(10, 20), point);
Triangle3D t3d = new Triangle3D(new Point3D(), new Point3D(), new Point3D());
var p1 = new Point3D(t2d.Vertices[0].X, t2d.Vertices[0].Y, t2d.Vertices[0].Fi);
var p2 = new Point3D(t2d.Vertices[1].X, t2d.Vertices[1].Y, t2d.Vertices[1].Fi);
var p3 = new Point3D(t2d.Vertices[2].X, t2d.Vertices[2].Y, t2d.Vertices[2].Fi);
fieldlines.Add(new List <Point>());
foreach (var triangle in triangles)
{
if (!point.PointInTriangle(point, triangle.Vertices[0], triangle.Vertices[1], triangle.Vertices[2]))
{
continue;
}
t2d = triangle;
usedTriangles.Add(t2d);
p1 = new Point3D(t2d.Vertices[0].X, t2d.Vertices[0].Y, t2d.Vertices[0].Fi);
p2 = new Point3D(t2d.Vertices[1].X, t2d.Vertices[1].Y, t2d.Vertices[1].Fi);
p3 = new Point3D(t2d.Vertices[2].X, t2d.Vertices[2].Y, t2d.Vertices[2].Fi);
t3d = new Triangle3D(p1, p2, p3);
break;
}
bool intr = true;
var curX = point.X;
var curY = point.Y;
var curFi = -(t3d.A * curX + t3d.B * curY + t3d.D) / t3d.C;
while (curX <= maxX / 2 && curX >= -maxX / 2 && curY <= maxY / 2 && curY >= -maxY / 2 && Math.Abs(curFi) <= fiMax * 1.5)
{
var addPoint = new Point(curX, curY, curFi);
fieldlines[i].Add(addPoint);
if (!intr)
{
break;
}
if (addPoint.PointInTriangle(addPoint, t2d.Vertices[0], t2d.Vertices[1], t2d.Vertices[2]))
{
Vector3D v1 = p2 - p1;
Vector3D v2 = p3 - p2;
// Get the cross product.
Vector3D n = Vector3D.CrossProduct(v1, v2);
n.Normalize();
if (curFi < 0)
{
n.X = -n.X;
n.Y = -n.Y;
n.Z = -n.Z;
}
curX += coef * n.X;
curY += coef * n.Y;
curFi += coef * n.Z;
//if (t3d.A * t3d.D < 0)
// curX += coef * Math.Abs(t3d.A);
//else
// curX -= coef * Math.Abs(t3d.A);
//if (t3d.B * t3d.D < 0)
// curY += coef * Math.Abs(t3d.B);
//else
// curY -= coef * Math.Abs(t3d.B);
//if (t3d.D > 0)
// curFi -= coef * Math.Abs(t3d.C);
//else
// curFi += coef * Math.Abs(t3d.C);
//if(coef * Math.Abs(t3d.C) < 0.00001)
// break;
}
else
{
intr = false;
foreach (var triangle in triangles)
{
if (addPoint.PointInTriangle(addPoint, triangle.Vertices[0], triangle.Vertices[1], triangle.Vertices[2]))
{
t2d = triangle;
p1 = new Point3D(t2d.Vertices[0].X, t2d.Vertices[0].Y, t2d.Vertices[0].Fi);
p2 = new Point3D(t2d.Vertices[1].X, t2d.Vertices[1].Y, t2d.Vertices[1].Fi);
p3 = new Point3D(t2d.Vertices[2].X, t2d.Vertices[2].Y, t2d.Vertices[2].Fi);
t3d = new Triangle3D(p1, p2, p3);
intr = true;
break;
}
}
}
}
++i;
}
return(fieldlines);
}
public void GetAB(List <Point> points, out List <List <double> > aList, out List <double> bList, double plus, double minus)
{
aList = new List <List <double> >();
bList = new List <double>();
var i = 0;
foreach (var iPoint in points)
{
var b = double.Epsilon;
//var b =0.0d;
aList.Add(new List <double>());
foreach (var jPoint in points)
{
var a = double.Epsilon;
//var a = 0.0d;
if (!iPoint.IsBoundary && jPoint.IsBoundary)
{
var commonTriangles = GetCommonTriangles(iPoint, jPoint).ToList();
//var borderTriangle = commonTriangles.Aggregate((i1, i2) => i1.BoundaryPointsCount > i2.BoundaryPointsCount ? i1 : i2);
//var innerTriangle = commonTriangles.Aggregate((i1, i2) => i1.BoundaryPointsCount < i2.BoundaryPointsCount ? i1 : i2);
if (commonTriangles.Count > 1)
{
var lowerVertex1 = commonTriangles[0].Vertices.Where(coord => coord != iPoint && coord != jPoint).ToList().LastOrDefault();
var lowerVertex2 = commonTriangles[1].Vertices.Where(coord => coord != iPoint && coord != jPoint).ToList().LastOrDefault();
var lowV1 = new Point3D(lowerVertex1.X, lowerVertex1.Y, 0);
var lowV2 = new Point3D(lowerVertex2.X, lowerVertex2.Y, 0);
var in0 = new Point3D(jPoint.X, jPoint.Y, 0);
var in1 = new Point3D(jPoint.X, jPoint.Y, 1);
var bor1 = new Point3D(iPoint.X, iPoint.Y, 1);
var bor0 = new Point3D(iPoint.X, iPoint.Y, 0);
Triangle3D t11 = new Triangle3D(bor1, lowV1, in0);
Triangle3D t12 = new Triangle3D(bor0, lowV1, in1);
Triangle3D t21 = new Triangle3D(bor1, lowV2, in0);
Triangle3D t22 = new Triangle3D(bor0, lowV2, in1);
double c;
if (jPoint.IsInnerBoundaryPlus)
{
c = plus;
}
else if (jPoint.IsInnerBoundaryMinus)
{
c = minus;
}
else
{
c = double.Epsilon;
}
b += c * ((t11.A * t12.A + t11.B * t12.B) * t11.S0 + (t21.A * t22.A + t21.B * t22.B) * t21.S0);
}
}
else if (!iPoint.IsBoundary && iPoint == jPoint)
{
var triangles = iPoint.AdjacentTriangles.ToList();
foreach (var triangle in triangles)
{
var lowerVertex = triangle.Vertices.Where(coord => coord != iPoint).ToArray();
var m1 = new Point3D(lowerVertex[0].X, lowerVertex[0].Y, 0);
var m2 = new Point3D(lowerVertex[1].X, lowerVertex[1].Y, 0);
var m3 = new Point3D(iPoint.X, iPoint.Y, 1);
Triangle3D t3D = new Triangle3D(m1, m2, m3);
a -= (t3D.A * t3D.A + t3D.B * t3D.B) * t3D.S0;
}
}
else if (GetCommonTriangles(iPoint, jPoint).ToList().Count > 0 && !iPoint.IsBoundary && !jPoint.IsBoundary)
{
var commonTriangles = GetCommonTriangles(iPoint, jPoint).ToList();
if (commonTriangles.Count > 1)
{
var lowerVertex1 = commonTriangles[0].Vertices.Where(coord => coord != iPoint && coord != jPoint).ToList().LastOrDefault();
var lowerVertex2 = commonTriangles[1].Vertices.Where(coord => coord != iPoint && coord != jPoint).ToList().LastOrDefault();
var lowV1 = new Point3D(lowerVertex1.X, lowerVertex1.Y, 0);
var lowV2 = new Point3D(lowerVertex2.X, lowerVertex2.Y, 0);
var in0 = new Point3D(jPoint.X, jPoint.Y, 0);
var in1 = new Point3D(jPoint.X, jPoint.Y, 1);
var bor1 = new Point3D(iPoint.X, iPoint.Y, 1);
var bor0 = new Point3D(iPoint.X, iPoint.Y, 0);
Triangle3D t11 = new Triangle3D(bor1, lowV1, in0);
Triangle3D t12 = new Triangle3D(bor0, lowV1, in1);
Triangle3D t21 = new Triangle3D(bor1, lowV2, in0);
Triangle3D t22 = new Triangle3D(bor0, lowV2, in1);
a -= (t11.A * t12.A + t11.B * t12.B) * t11.S0 + (t21.A * t22.A + t21.B * t22.B) * t21.S0;
}
}
aList[i].Add(a);
}
++i;
bList.Add(b);
}
}