public void WiggleNode()
{
int nodesPerDimension = 2;
var rectangle = GridShapes.Rectangle(2, 2);
MultidimensionalArray nodes = MultidimensionalArray.Create(nodesPerDimension * nodesPerDimension, 2);
for (int i = 0; i < nodesPerDimension; ++i)
{
for (int j = 0; j < nodesPerDimension; ++j)
{
nodes[i * nodesPerDimension + j, 0] = 2.0 / (nodesPerDimension - 1) * i - 1.0;
nodes[i * nodesPerDimension + j, 1] = 2.0 / (nodesPerDimension - 1) * j - 1.0;
}
}
int wiggles = 100;
double range = 1e-8;
double increment = range / wiggles;
nodes[0, 0] -= range / 2.0;
for (int i = 0; i < wiggles + 1; ++i)
{
IGrid grid = VoronoiGrid2D.Polygonal(nodes, rectangle, 0, 0);
nodes[0, 0] += increment;
}
//Plotter.Plot(grid);
}
public void Shift()
{
double offset = 1e-7;
MultidimensionalArray nodes = MultidimensionalArray.Create(6, 2);
nodes.SetRowPt(0, new Vector(0.5 + offset, 0.5));
nodes.SetRowPt(1, new Vector(-0.5 + offset, 0.5));
nodes.SetRowPt(2, new Vector(0.5 - offset, -0.5));
nodes.SetRowPt(3, new Vector(-0.5 - offset, -0.5));
nodes.SetRowPt(4, new Vector(0, -0.5));
nodes.SetRowPt(5, new Vector(0, 0.5));
// ### Grid
byte[] tags = { 1, 181, 1, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 1, "AdiabaticSlipWall" },
{ 181, "Periodic-X" }
};
var gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(2, 2),
EdgeTags = tags,
EdgeTagNames = tagNames
};
VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 0, 0);
}
public void PeriodicPairCheckerBoard()
{
// ### Grid
byte[] tags = { 1, 181, 1, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 1, "AdiabaticSlipWall" },
{ 181, "Periodic-X" }
};
var gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(1, 0.5),
EdgeTags = tags,
EdgeTagNames = tagNames
};
double[] xTics = GenericBlas.Linspace(-0.5, 0.5, 3);
double[] yTics = GenericBlas.Linspace(-0.25, 0.25, 5);
for (int i = 0; i < yTics.Length; ++i)
{
yTics[i] *= -1;
}
MultidimensionalArray nodes = Checkerize(xTics, yTics);
VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 0, 0);
Plotter.Plot(grid);
}
public void PeriodicPairSkewCheckerBoard()
{
byte[] tags = { 1, 181, 1, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 181, "Periodic-X" },
{ 1, "Dirichlet" }
};
VoronoiBoundary gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(2, 2),
EdgeTags = tags,
EdgeTagNames = tagNames
};
MultidimensionalArray nodes = MultidimensionalArray.Create(6, 2);
nodes.SetRow(0, new double[] { -0.71, 0.7 });
nodes.SetRow(1, new double[] { 0.8, 0.7 });
nodes.SetRow(2, new double[] { 0, 0.5 });
nodes.SetRow(3, new double[] { -0.7, -0.7 });
nodes.SetRow(4, new double[] { 0.7, -0.7 });
nodes.SetRow(5, new double[] { 0, -0.5 });
VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 0, 0);
}
public void AllPeriodicBoundariesOutside()
{
byte[] tags = { 182, 181, 182, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 181, "Periodic-X" },
{ 182, "Periodic-Y" }
};
VoronoiBoundary gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(2, 2),
EdgeTags = tags,
EdgeTagNames = tagNames
};
MultidimensionalArray nodes = MultidimensionalArray.Create(6, 2);
nodes.SetRow(0, new double[] { -1.1, 1.1 });
nodes.SetRow(1, new double[] { 0.6, 1.4 });
nodes.SetRow(2, new double[] { 0, 0 });
nodes.SetRow(3, new double[] { 1, -0.9 });
nodes.SetRow(4, new double[] { -0.9, -1.2 });
nodes.SetRow(5, new double[] { -1.1, 0.2 });
VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 10, 0);
}
public void LShapePeriodicBoundaries()
{
byte[] tags = { 1, 1, 181, 1, 1, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 1, "Dirichlet" },
{ 181, "Periodic" }
};
MultidimensionalArray nodes = MultidimensionalArray.Create(6, 2);
nodes.SetRow(0, new double[] { -0.5, 0.5 });
nodes.SetRow(1, new double[] { -0.8, -0.4 });
nodes.SetRow(2, new double[] { 0, 0 });
nodes.SetRow(3, new double[] { 0.8, 0.8 });
nodes.SetRow(4, new double[] { 0.9, 0.2 });
nodes.SetRow(5, new double[] { 0.5, -0.6 });
VoronoiBoundary gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.LShape(),
EdgeTags = tags,
EdgeTagNames = tagNames
};
VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 0, 1);
}
public void SetBoundaryTags()
{
byte[] tags = { 1, 1, 1, 1 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(1);
tagNames.Add(1, "A");
VoronoiBoundary rectangle = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(2, 2),
EdgeTags = tags,
EdgeTagNames = tagNames
};
MultidimensionalArray nodes = MultidimensionalArray.Create(5, 2);
nodes.SetRow(0, new double[] { -0.5, 0.5 });
nodes.SetRow(1, new double[] { -0.8, -0.4 });
nodes.SetRow(2, new double[] { 0, 0 });
nodes.SetRow(3, new double[] { 0.8, 0.4 });
nodes.SetRow(4, new double[] { 0.5, -0.5 });
VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, rectangle, 10, 0);
bool tagsAreCorrect = CheckAllBoundaryTagsAre(1, grid.iGridData);
Assert.IsTrue(tagsAreCorrect);
}
public void Large()
{
var rectangle = GridShapes.Rectangle(2, 2);
VoronoiGrid grid = VoronoiGrid2D.Polygonal(rectangle, 0, 10000);
Plotter.Plot(grid);
}
public void CornerSpeziale()
{
MultidimensionalArray nodes1 = MultidimensionalArray.Create(3, 2);
nodes1.SetRowPt(0, new Vector(-1, 1));
nodes1.SetRowPt(1, new Vector(1, 1));
nodes1.SetRowPt(2, new Vector(-1, -1));
VoronoiGrid grid1 = VoronoiGrid2D.Polygonal(nodes1, GridShapes.Rectangle(2, 2), 0, 0);
}
public void SomeEdgesOnBoundary()
{
MultidimensionalArray nodes1 = MultidimensionalArray.Create(4, 2);
nodes1.SetRowPt(0, new Vector(0, 2));
nodes1.SetRowPt(1, new Vector(0, 0));
nodes1.SetRowPt(2, new Vector(-1, 0));
nodes1.SetRowPt(3, new Vector(-1, -1));
VoronoiGrid grid1 = VoronoiGrid2D.Polygonal(nodes1, GridShapes.Rectangle(2, 2), 0, 0);
}
public void LShapedGrid()
{
var LShapePolygon = GridShapes.LShape();
int[] NodeSeedsNumbers = { 20 };
for (int i = 0; i < NodeSeedsNumbers.Length; ++i)
{
int ammountOfNodeSeeds = NodeSeedsNumbers[i];
IGrid grid = VoronoiGrid2D.Polygonal(LShapePolygon, 5, ammountOfNodeSeeds);
}
}
public void FiveNodesInRectangle()
{
var rectangle = GridShapes.Rectangle(2, 2);
MultidimensionalArray nodes = MultidimensionalArray.Create(5, 2);
nodes.SetRow(0, new double[] { -0.5, 0.5 });
nodes.SetRow(1, new double[] { -0.8, -0.4 });
nodes.SetRow(2, new double[] { 0, 0 });
nodes.SetRow(3, new double[] { 0.8, 0.4 });
nodes.SetRow(4, new double[] { 0.5, -0.5 });
IGrid grid = VoronoiGrid2D.Polygonal(nodes, rectangle, 10, 0);
}
public void OnlyEdgesOnBoundary()
{
MultidimensionalArray nodes1 = MultidimensionalArray.Create(8, 2);
nodes1.SetRowPt(0, new Vector(0, 1.5));
nodes1.SetRowPt(1, new Vector(-0.5, 0));
nodes1.SetRowPt(2, new Vector(0, -0.5));
nodes1.SetRowPt(3, new Vector(0.5, 0));
nodes1.SetRowPt(4, new Vector(0, 0.5));
nodes1.SetRowPt(5, new Vector(1.5, 0));
nodes1.SetRowPt(6, new Vector(-1.5, 0));
nodes1.SetRowPt(7, new Vector(0, -1.5));
VoronoiGrid grid1 = VoronoiGrid2D.Polygonal(nodes1, GridShapes.Rectangle(2, 2), 0, 1);
}
public void Remap()
{
byte[] tags = { 1, 181, 1, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 181, "Periodic-X" },
{ 1, "bondary" }
};
VoronoiBoundary gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(2, 2),
EdgeTags = tags,
EdgeTagNames = tagNames
};
double[] positions = new double[]
{
-0.64874644688322713,
0.83818004313993111,
-0.39475947428553138,
0.23663302374998896,
0.58922918492853482,
0.83854511946848365,
-0.811382461267156,
-0.4159610860057516,
-0.19666215667077264,
-0.24376388607043981,
0.3385324063754323,
0.086134041417832763,
0.80498108279434089,
0.22350558445791927,
-0.68131747598283521,
-0.87257764806623139,
0.48863086193005234,
-0.51183362983054159,
0.99309783411349173,
-0.10141430352239808,
};
MultidimensionalArray nodes = MultidimensionalArray.CreateWrapper(positions, 10, 2);
for (int i = 0; i < 10; ++i)
{
nodes[i, 0] += 0.01;
}
VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 0, 0);
Plotter.Plot(grid);
}
public void EquidistandGrid()
{
double offset = 1e-7;
MultidimensionalArray nodes = MultidimensionalArray.Create(4, 2);
nodes.SetRowPt(0, new Vector(0.5 + offset, 0.5));
nodes.SetRowPt(1, new Vector(-0.5 + offset, 0.5));
nodes.SetRowPt(2, new Vector(0.5, -0.5));
nodes.SetRowPt(3, new Vector(-0.5, -0.5));
VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, GridShapes.Rectangle(2, 2), 0, 1);
Plotter.Plot(grid);
}
public void FShape()
{
byte[] tags = { 1, 181, 1, 1, 1, 182, 1, 1, 181, 1, 1, 182, 1, 1 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 1, "Dirichlet" },
{ 181, "Periodic" }
};
VoronoiBoundary gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.FShape(),
EdgeTags = tags,
EdgeTagNames = tagNames
};
VoronoiGrid grid = VoronoiGrid2D.Polygonal(gridBoundary, 40, 500);
}
public void EquidistandGridLarge()
{
int nodesX = 101;
int nodesY = 51;
var rectangle = GridShapes.Rectangle(1, 0.5);
MultidimensionalArray nodes = MultidimensionalArray.Create(nodesX * nodesY, 2);
for (int i = 0; i < nodesX; ++i)
{
for (int j = 0; j < nodesY; ++j)
{
nodes[i * nodesY + j, 0] = 1.0 / (nodesX - 1) * i - 0.5;
nodes[i * nodesY + j, 1] = 0.5 / (nodesY - 1) * j - 0.25;
}
}
IGrid grid = VoronoiGrid2D.Polygonal(nodes, rectangle, 0, 0);
//Plotter.Plot(grid);
}
public void VertexMerge()
{
var rectangle = GridShapes.Rectangle(3, 3);
MultidimensionalArray nodes = MultidimensionalArray.Create(5, 2);
nodes.SetRowPt(0, OnCircle(0));
nodes.SetRowPt(1, OnCircle(0.5));
nodes.SetRowPt(2, OnCircle(1));
nodes.SetRowPt(3, OnCircle(2));
nodes.SetRowPt(4, OnCircle(3));
IGrid grid = VoronoiGrid2D.Polygonal(nodes, rectangle, 0, 0);
Vector OnCircle(double radian)
{
return(new Vector(Math.Cos(radian), Math.Sin(radian)));
}
}
public void MapMultipleCellsPeriodic()
{
byte[] tags = { 1, 181, 1, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 181, "Periodic-X" },
{ 1, "Dirichlet" }
};
VoronoiBoundary gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(2, 2),
EdgeTags = tags,
EdgeTagNames = tagNames,
BoundingBox = GridShapes.Rectangle(2, 2)
};
NodeTrackingVoronoiMesher mesher = new NodeTrackingVoronoiMesher(
new VoronoiMesher <TrackableNode> .Settings()
{
Boundary = gridBoundary,
NumberOfLloydIterations = 0,
});
int numberOfNodes = 200;
MultidimensionalArray array = MultidimensionalArray.Create(numberOfNodes, 2);
Random random = new Random(0);
for (int i = 0; i < numberOfNodes; ++i)
{
array[i, 0] = 2.0 * random.NextDouble() - 1.0;
array[i, 1] = 2.0 * random.NextDouble() - 1.0;
}
VoronoiNodes nodes = new VoronoiNodes(array);
MappedVoronoiGrid grid = mesher.CreateGrid(nodes, 0);
bool mapsNodesOntoItself = IsPermutation(grid.InputNodesToResultNodes, nodes, grid.Result.Nodes);
Assert.IsTrue(mapsNodesOntoItself);
MappedVoronoiGrid grid2 = mesher.CreateGrid(grid.Result.Nodes, 0);
mapsNodesOntoItself = IsPermutation(grid2.InputNodesToResultNodes, grid.Result.Nodes, grid2.Result.Nodes);
Assert.IsTrue(mapsNodesOntoItself);
}
public void MapOneCellPeriodic()
{
byte[] tags = { 1, 181, 1, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 181, "Periodic-X" },
{ 1, "Dirichlet" }
};
VoronoiBoundary gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(2, 2),
EdgeTags = tags,
EdgeTagNames = tagNames,
BoundingBox = GridShapes.Rectangle(2, 2),
};
NodeTrackingVoronoiMesher mesher = new NodeTrackingVoronoiMesher(
new VoronoiMesher <TrackableNode> .Settings()
{
Boundary = gridBoundary,
NumberOfLloydIterations = 0,
});
MultidimensionalArray array = MultidimensionalArray.Create(8, 2);
array.SetRow(0, new double[] { -0.9, 0.7 });
array.SetRow(1, new double[] { -0.8, -0.4 });
array.SetRow(2, new double[] { 0, 0.5 });
array.SetRow(3, new double[] { 0.05, 0 });
array.SetRow(4, new double[] { 0.1, -0.5 });
array.SetRow(5, new double[] { 0.8, 0.8 });
array.SetRow(6, new double[] { 1.2, 0.2 });
array.SetRow(7, new double[] { 0.5, -0.6 });
VoronoiNodes nodes = new VoronoiNodes(array);
MappedVoronoiGrid grid = mesher.CreateGrid(nodes, 0);
Assert.IsTrue((
grid.Result.Nodes.Nodes[grid.InputNodesToResultNodes.GetMapping(0)].Position
- new Vector(-0.9, 0.7)).Abs() < 1e-12);
}
public void PeriodicBoundaryPairBoundaryOnEdge()
{
byte[] tags = { 1, 181, 1, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 181, "Periodic-X" },
{ 1, "Dirichlet" }
};
MultidimensionalArray nodes = MultidimensionalArray.Create(6, 2);
nodes.SetRowPt(0, new Vector(-0.8, 0.6));
nodes.SetRowPt(1, new Vector(-0.8, -0.6));
nodes.SetRowPt(2, new Vector(-0.2, 0.0));
nodes.SetRowPt(3, new Vector(0.2, 0.0));
nodes.SetRowPt(4, new Vector(0.8, 0.6));
nodes.SetRowPt(5, new Vector(0.8, -0.6));
VoronoiBoundary gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(2, 2),
EdgeTags = tags,
EdgeTagNames = tagNames
};
VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 0, 0);
}
public void PeriodicBoundaryPairLarge()
{
byte[] tags = { 1, 181, 1, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 181, "Periodic-X" },
{ 1, "Dirichlet" }
};
VoronoiBoundary gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(8, 8),
EdgeTags = tags,
EdgeTagNames = tagNames
};
Random random = new Random(10);
MultidimensionalArray nodes = default(MultidimensionalArray);
for (int i = 0; i < 10; i += 1)
{
Console.WriteLine($"Roll number{i}");
nodes = RandomNodesInSquare(4.09, 4.0, 300, random);
nodes[0, 0] = -1 + 1e-5;
nodes[0, 1] = 1 - 1e-5;
try
{
VoronoiGrid garid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 0, 0);
}
catch (Exception e)
{
Console.WriteLine(e);
}
}
//VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 0, 0);
//Plotter.Plot(grid);
}
public void AllPeriodicBoundariesLarge()
{
byte[] tags = { 182, 181, 182, 181 };
SortedList <byte, string> tagNames = new SortedList <byte, string>(2)
{
{ 181, "Periodic-X" },
{ 182, "Periodic-Y" }
};
VoronoiBoundary gridBoundary = new VoronoiBoundary
{
Polygon = GridShapes.Rectangle(2, 2),
EdgeTags = tags,
EdgeTagNames = tagNames
};
Random random = new Random(1);
MultidimensionalArray nodes = default(MultidimensionalArray);
for (int i = 0; i < 48; ++i)
{
Console.WriteLine($"Roll number {i}");
nodes = RandomNodesInSquare(1.0, 1.0, 300, random);
nodes[0, 0] = -1 + 1e-6;
nodes[0, 1] = 1 - 1e-6;
try
{
//VoronoiGrid garid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 0, 0);
//Plotter.Plot(grid);
}
catch (Exception e)
{
Console.WriteLine(e);
}
}
VoronoiGrid grid = VoronoiGrid2D.Polygonal(nodes, gridBoundary, 0, 0);
}