public virtual Vector Sample(VectorField field, Vector position)
{
// Query relevant edges and their weights. Result varies with different grid types.
int numCells = NumAdjacentPoints();
float[] weights;
int[] indices = FindAdjacentIndices(position, out weights);
Debug.Assert(indices.Length == weights.Length);
Vector result = new Vector(0, field.NumVectorDimensions);
// Add the other weightes grid points.
for (int dim = 0; dim < indices.Length; ++dim)
{
Vector add = field.Sample(indices[dim]);
if (add[0] == field.InvalidValue)
{
return(new Vector(field.InvalidValue ?? float.MaxValue, field.NumVectorDimensions));
}
result += add * weights[dim];
}
return(result);
}
public void SetRenderEffect(RenderEffect effect)
{
// Ad length texture.
if (effect == RenderEffect.LIC_LENGTH && Effect != RenderEffect.LIC_LENGTH && _field != null)
{
VectorField length = new VectorField(_field, FieldAnalysis.VFLength, 1, false);
this.AddScalar(length[0] as ScalarField);
}
// Remove length texture?
else if (effect != RenderEffect.LIC_LENGTH && Effect == RenderEffect.LIC_LENGTH && _field != null)
{
ShaderResourceView[] cpy = _fieldTextures;
_fieldTextures = new ShaderResourceView[cpy.Length - 1];
Array.Copy(cpy, _fieldTextures, _fieldTextures.Length);
}
switch (effect)
{
case RenderEffect.LIC:
case RenderEffect.LIC_LENGTH:
//Debug.Assert(_fields.Length >= 2);
this._technique = _planeEffect.GetTechniqueByName("RenderLIC" + _fieldTextures.Length);
break;
case RenderEffect.CHECKERBOARD:
this._technique = _planeEffect.GetTechniqueByName("RenderChecker");
break;
case RenderEffect.CHECKERBOARD_COLORMAP:
this._technique = _planeEffect.GetTechniqueByName("RenderCheckerTex" + _fieldTextures.Length);
break;
case RenderEffect.OVERLAY:
this._technique = _planeEffect.GetTechniqueByName("Overlay" + _fieldTextures.Length);
break;
case RenderEffect.LAPLACE:
this._technique = _planeEffect.GetTechniqueByName("Laplace" + _fieldTextures.Length);
break;
case RenderEffect.GRADIENT:
this._technique = _planeEffect.GetTechniqueByName("Gradient" + _fieldTextures.Length);
break;
case RenderEffect.COLORMAP:
default:
this._technique = _planeEffect.GetTechniqueByName("RenderTex" + _fieldTextures.Length);
break;
}
Effect = effect;
}
public VectorField GetTimeSlice(int slice)
{
ScalarField[] slices = new ScalarField[Scalars.Length];
for (int scalar = 0; scalar < Scalars.Length; ++scalar)
{
slices[scalar] = _scalarsUnsteady[scalar].GetTimeSlice(slice);
}
var result = new VectorField(slices);
result.TimeSlice = slice;
result.InvalidValue = InvalidValue;
return(result);
}
public static Integrator CreateIntegrator(VectorField field, Type type, Line core = null, float force = 0.1f)
{
switch (type)
{
case Type.RUNGE_KUTTA_4:
return(new IntegratorRK4(field));
case Type.REPELLING_RUNGE_KUTTA:
return(new IntegratorRK4Repelling(field, core, force));
default:
return(new IntegratorEuler(field));
}
}
public static void TestCP()
{
Random rnd = new Random(DateTime.Today.Millisecond);
RectlinearGrid grid = new RectlinearGrid(new Index(2, 2));
ScalarField cell0 = new ScalarField(grid);
ScalarField cell1 = new ScalarField(grid);
for (int tests = 0; tests < 100; ++tests)
{
for (int i = 0; i < 4; ++i)
{
cell0.Data[i] = (float)rnd.NextDouble() - 0.5f;
cell1.Data[i] = (float)rnd.NextDouble() - 0.5f;
}
VectorField cell = new VectorField(new ScalarField[] { cell0, cell1 });
//PointSet<Point> points = FieldAnalysis.ComputeCriticalPointsRegularAnalytical2D(cell);
}
}
public VectorField(VectorField field, VFJFunction function, int outputDim, bool needJacobian = true)
{
int scalars = outputDim;/*function(field.Sample(0), field.SampleDerivative(new Vector(0, field.Size.Length))).Length;*/
_scalars = new ScalarField[scalars];
FieldGrid gridCopy = field.Grid.Copy();
// In case the input field was time dependant, this one is not. Still, we keep the size and origin of the time as new dimension!
gridCopy.TimeDependant = false;
for (int dim = 0; dim < scalars; ++dim)
{
Scalars[dim] = new ScalarField(gridCopy);
}
this.InvalidValue = field.InvalidValue;
GridIndex indexIterator = new GridIndex(field.Size);
foreach (GridIndex index in indexIterator)
{
Vector v = field.Sample((int)index);
if (v[0] == InvalidValue)
{
for (int dim = 0; dim < Scalars.Length; ++dim)
{
Scalars[dim][(int)index] = (float)InvalidValue;
}
continue;
}
SquareMatrix J = needJacobian? field.SampleDerivative(index) : null;
Vector funcValue = function(v, J);
for (int dim = 0; dim < Scalars.Length; ++dim)
{
var vec = Scalars[dim];
Scalars[dim][(int)index] = funcValue[dim];
}
}
}
protected void ComputeOkubo(float[] radii, float[] angles, out Graph2D[] okuboData)
{
float integrationLength = 40; // IntegrationTime;
// ~~~~~~~~~~~~~~~~~~ Initialize seed points. ~~~~~~~~~~~~~~~~~~~~ \\
PointSet <Point> circle = new PointSet <Point>(new Point[radii.Length * angles.Length * 4]);
okuboData = new Graph2D[angles.Length];
if (_velocity.TimeOrigin > SliceTimeMain || _velocity.TimeOrigin + _velocity.Size.T < SliceTimeMain)
{
LoadField(SliceTimeMain, MemberMain, 1);
}
VectorField okuboField = new VectorField(_velocity.GetSlice(SliceTimeMain), FieldAnalysis.OkuboWeiss, 1);
float mean, fill, standardDeviation;
(okuboField.Scalars[0] as ScalarField).ComputeStatistics(out fill, out mean, out _standardDeviation);
Console.WriteLine("Mean: " + mean + ", SD: " + _standardDeviation + ", valid cells: " + fill);
for (int angle = 0; angle < angles.Length; ++angle)
{
okuboData[angle] = new Graph2D(radii.Length);
for (int rad = 0; rad < radii.Length; ++rad)
{
okuboData[angle].X[rad] = radii[rad];
float x = (float)(Math.Sin(angles[angle] + Math.PI / 2));
float y = (float)(Math.Cos(angles[angle] + Math.PI / 2));
Vec2 pos = new Vec2(_selection.X + x * radii[rad], _selection.Y + y * radii[rad]);
if (!okuboField.Grid.InGrid(pos) || !okuboField.IsValid(pos))
{
okuboData[angle].Fx[rad] = 1;
continue;
}
okuboData[angle].Fx[rad] = okuboField[0].Sample(pos) + 0.2f * _standardDeviation;
}
}
}
/// <summary>
/// Plane to display scalar/vector field data on. Condition: Fields domain is 2D.
/// </summary>
/// <param name="origin"></param>
/// <param name="xAxis"></param>
/// <param name="yAxis"></param>
/// <param name="scale">Scaling the field extent.</param>
/// <param name="field"></param>
public FieldPlane(Plane plane, VectorField fields, RenderEffect effect = RenderEffect.DEFAULT, Colormap map = Colormap.Parula)
{
#if DEBUG
// Assert that the fields are 2 dimensional.
foreach (Field field in fields.Scalars)
{
System.Diagnostics.Debug.Assert(field.Size.Length >= 2);
}
#endif
this._effect = _planeEffect;
this._vertexSizeBytes = 32;
this._numVertices = 6;
this.UsedMap = map;
this._width = fields[0].Size[0];
this._height = fields[0].Size[1];
this._invalid = fields.InvalidValue ?? float.MaxValue;
this._field = fields;
// Setting up the vertex buffer.
GenerateGeometry(plane, fields[0].Size.ToInt2(), fields.TimeSlice ?? 0);
// Generating Textures from the fields.
_fieldTextures = new ShaderResourceView[fields.Scalars.Length];
for (int f = 0; f < _field.NumVectorDimensions; ++f)
{
Texture2D tex = ColorMapping.GenerateTextureFromField(_device, fields[f]);
_fieldTextures[f] = new ShaderResourceView(_device, tex);
}
this.SetRenderEffect(effect);
this._vertexLayout = new InputLayout(_device, _technique.GetPassByIndex(0).Description.Signature, new[] {
new InputElement("POSITION", 0, Format.R32G32B32A32_Float, 0, 0),
new InputElement("TEXTURE", 0, Format.R32G32B32A32_Float, 16, 0)
});
}
public PlaygroundMapper(Plane plane) : base(new Plane(plane, 1), new Int2(NUM_CELLS))
{
Mapping = Map;
_velocity = Tests.CreateBowl(new Vec2(NUM_CELLS / 2, 0), NUM_CELLS, new Vec2(-10, 0), 22, 200);
_selections = new List <LineBall>(10);
_selectionsAngle = new List <LineBall>(10);
_steadySelection = new List <LineBall>(10);
// Core.
_core = new Line()
{
Positions = new Vector3[] { new Vector3(50, 100, 0), new Vector3(155, 100, _velocity.Size.T - 1) }
};
LineSet set = new LineSet(new Line[] { _core })
{
Color = new Vector3(0.2f)
};
set.Thickness *= 3;
_coreBall = new LineBall(plane, set, LineBall.RenderEffect.DEFAULT);
// Straight core.
set = new LineSet(new Line[] { new Line()
{
Positions = new Vector3[] { _core[0], _core[0] + Vector3.UnitZ * (_velocity.Size.T - 1) }
} })
{
Color = new Vector3(0.2f)
};
set.Thickness *= 3;
_straightCoreBall = new LineBall(Plane, set);
var center = Tests.CreatePerfect(new Vec2(0, 0), NUM_CELLS, new Vec2(0), 1, 200);
_steadyField = center.GetTimeSlice(0); //[0] as ScalarField;
}
public List <Renderable> ShowPaths()
{
bool mapLines = false;
// Setup an integrator.
VectorField.Integrator intVF = VectorField.Integrator.CreateIntegrator(Velocity, _currentSetting.IntegrationType);
intVF.MaxNumSteps = 10000;
intVF.StepSize = _currentSetting.StepSize;
if (_lastSetting == null ||
IntegrationTypeChanged ||
StepSizeChanged)
{
// ~~~~~~~~~~~ Line Integration ~~~~~~~~~~~ \\
// Clear the raw lines.
int timeLength = Velocity.Size.T;
_rawLines = new LineSet[Velocity.Size.T];
// Initialize the firth
_rawLines[0] = new LineSet(new Line[0]);
ScalarField[] lengths = new ScalarField[timeLength];
lengths[0] = new ScalarField(Velocity.ScalarsAsSFU[0].TimeSlices[0], (v, J) => 0);
_minLength = new float[timeLength];
_maxLength = new float[timeLength];
// Integrate the path line segments between each neighboring pair of time slices.
for (int time = 1; time < timeLength; ++time)
{
_minLength[time] = float.MaxValue;
_maxLength[time] = float.MinValue;
// Integrate last points until next time slice.
_pathlineSegments[time - 1] = intVF.Integrate(_intersectTimeSlices[time - 1], false, time)[0];
_pathlineSegments[time - 1].Color = Vector3.UnitZ * (float)time / timeLength;
// if(time == timeLength - 1)
_intersectTimeSlices[time] = _pathlineSegments[time - 1].GetValidEndPoints();//VectorField.Integrator.Status.BORDER);
//else
// _intersectTimeSlices[time] = _pathlineSegments[time - 1].GetEndPoints(VectorField.Integrator.Status.TIME_BORDER);
_points[time] = new PointCloud(Plane, _intersectTimeSlices[time].ToBasicSet());
// Set all positions to 0, or invalid value.
lengths[time] = new ScalarField(lengths[time - 1], (s, g) => s, false);
int i = 0;
for (int p = 0; p < _intersectTimeSlices[time].Points.Length; ++p)
{
EndPoint pP = _intersectTimeSlices[time].Points[p];
++i;
// Map floating position to int position.
int iPos = _fieldPositionOfValidCell[p];
float timeStepped = (pP.Position.Z - (time - 1));
lengths[time][iPos] += timeStepped > 0 ? pP.LengthLine / timeStepped : 0;
float tmp = lengths[time][iPos];
_minLength[time] = Math.Min(lengths[time][iPos], _minLength[time]);
_maxLength[time] = Math.Max(lengths[time][iPos], _maxLength[time]);
if (_minLength[time] < 0 || pP.Status != VectorField.Integrator.Status.TIME_BORDER)
{
i += 0;
}
//Console.WriteLine(lengths[time][iPos]);
}
Console.WriteLine("Integrated lines until time " + time);
}
lengths[0] = new VectorField(Velocity.GetTimeSlice(0), FieldAnalysis.VFLength, 1, false).Scalars[0] as ScalarField;
_minLength[0] = 0;
_maxLength[0] = RedSea.Singleton.NumTimeSlices;
_pathLengths = new ScalarFieldUnsteady(lengths);
mapLines = true;
}
if (_lastSetting == null ||
SliceTimeMainChanged ||
ShaderChanged)
{
ScalarField f = _pathLengths.GetTimeSlice(_currentSetting.SliceTimeMain);
f.TimeOrigin = 0;
VectorField vecField;
switch (_currentSetting.Shader)
{
case FieldPlane.RenderEffect.LIC:
VectorField slice = Velocity.GetTimeSlice(0);
slice.TimeSlice = 0;
vecField = new VectorField(new Field[] { slice.Scalars[0], slice.Scalars[1], f });
break;
case FieldPlane.RenderEffect.LIC_LENGTH:
vecField = Velocity.GetTimeSlice(_currentSetting.SliceTimeMain);
vecField.TimeSlice = 0;
break;
default:
case FieldPlane.RenderEffect.COLORMAP:
case FieldPlane.RenderEffect.DEFAULT:
vecField = new VectorField(new Field[] { f });
break;
}
_plane = new FieldPlane(Plane, vecField /*Velocity.GetSlice(_currentSetting.SliceTimeReference)*/, _currentSetting.Shader);
}
// The line settings have changed. Create new renderables from the lines.
if (mapLines || LineSettingChanged)
{
_lines = new Renderable[_pathlineSegments.Length];
switch (_currentSetting.LineSetting)
{
// Map the vertices to colored points.
case RedSea.DisplayLines.POINTS_2D_LENGTH:
for (int i = 0; i < _pathlineSegments.Length; ++i)
{
PointSet <Point> linePoints = Velocity.ColorCodeArbitrary(_pathlineSegments[i], RedSea.DisplayLineFunctions[(int)_currentSetting.LineSetting]);
_lines[i] = new PointCloud(Plane, linePoints);
}
break;
// Render as line.
default:
case RedSea.DisplayLines.LINE:
for (int i = 0; i < _pathlineSegments.Length; ++i)
{
_lines[i] = new LineBall(Plane, _pathlineSegments[i]);
}
break;
}
}
// Set mapping values.
//_plane.UpperBound = 0; //= (1 + _currentSetting.WindowWidth) * (_maxLength[_currentSetting.SliceTimeMain] - _minLength[_currentSetting.SliceTimeMain]) /2 + _minLength[_currentSetting.SliceTimeMain];
_plane.UpperBound = _currentSetting.WindowWidth + _currentSetting.WindowStart; ///= _currentSetting.SliceTimeMain;
//_plane.LowerBound = 0; //= (1 - _currentSetting.WindowWidth) * (_maxLength[_currentSetting.SliceTimeMain] - _minLength[_currentSetting.SliceTimeMain]) /2 + _minLength[_currentSetting.SliceTimeMain];
_plane.LowerBound = _currentSetting.WindowStart; ///= _currentSetting.SliceTimeMain;
_plane.UsedMap = _currentSetting.Colormap;
_plane.SetRenderEffect(_currentSetting.Shader);
List <Renderable> result = new List <Renderable>(50);
result.Add(_plane);
switch (_currentSetting.Tracking)
{
case RedSea.DisplayTracking.LINE:
case RedSea.DisplayTracking.LINE_POINTS:
Renderable[] lines = new Renderable[_currentSetting.SliceTimeMain];
Array.Copy(_lines, lines, _currentSetting.SliceTimeMain);
result = result.Concat(lines).ToList();
break;
case RedSea.DisplayTracking.POINTS:
result.Add(_points[_currentSetting.SliceTimeMain]);
break;
case RedSea.DisplayTracking.LINE_SELECTION:
VectorField.StreamLine <Vector3> line = intVF.IntegrateLineForRendering(new Vec3(_startPoint.X, _startPoint.Y, 0));
LineSet set = new LineSet(new Line[] { new Line()
{
Positions = line.Points.ToArray()
} });
if (_currentSetting.Flat)
{
set.FlattenLines(_currentSetting.SliceTimeMain);
}
result.Add(new LineBall(Plane, set));
break;
default:
break;
}
return(result);
}
public List <Renderable> ComputeStatistics()
{
List <Renderable> result = new List <Renderable>(200);
result.Add(new FieldPlane(Plane, Velocity.GetTimeSlice(_currentSetting.SliceTimeMain), _currentSetting.Shader, _currentSetting.Colormap));
if (!_initialized)
{
return(result);
}
result.Add(new LineBall(Plane, new LineSet(new Line[] { new Line()
{
Positions = new Vector3[] { _startSelection, _endSelection }
} })));
bool completelyNew = false;
// ~~~~~~~~~~~~~~ Get new Start Points ~~~~~~~~~~~~~~ //
if (_lastSetting == null ||
SliceTimeMainChanged ||
LineXChanged ||
_selectionChanged)
{
int numPoints = _startSelection == null ? 0 : Math.Max(2, _currentSetting.LineX + 1);
Point[] startPoints = new Point[numPoints];
// Compute point positions (linear interpolation).
for (int x = 0; x < numPoints; ++x)
{
float t = (float)x / (numPoints - 1);
startPoints[x] = new Point()
{
Position = _startSelection * (1.0f - t) + _endSelection * t
};
}
_linePoints = new PointSet <Point>(startPoints);
_values = new float[_linePoints.Length];
completelyNew = true;
}
// ~~~~~~~~~~~~ Compute Selected Measure ~~~~~~~~~~~~ //
if (completelyNew ||
MeasureChanged ||
FlatChanged ||
IntegrationTimeChanged ||
IntegrationTypeChanged ||
StepSizeChanged)
{
// ~~~~~~~~~~~~~ Compute Scalar FIeld ~~~~~~~~~~~~~~~ //
ScalarField measure = null;
switch (_currentSetting.Measure)
{
// Velocity Length / Pathline Length.
case RedSea.Measure.VELOCITY:
measure = new VectorField(Velocity.GetTimeSlice(_currentSetting.SliceTimeMain), FieldAnalysis.VFLength, 1).Scalars[0] as ScalarField;
break;
case RedSea.Measure.SURFACE_HEIGHT:
break;
case RedSea.Measure.SALINITY:
break;
case RedSea.Measure.TEMPERATURE:
break;
case RedSea.Measure.DIVERGENCE:
measure = new VectorField(Velocity.GetTimeSlice(_currentSetting.SliceTimeMain), FieldAnalysis.Divergence, 1).Scalars[0] as ScalarField;
break;
// Closeness of Pathline.
case RedSea.Measure.DIVERGENCE_2D:
break;
case RedSea.Measure.VORTICITY:
measure = new VectorField(Velocity.GetTimeSlice(_currentSetting.SliceTimeMain), FieldAnalysis.Vorticity, 1).Scalars[0] as ScalarField;
break;
case RedSea.Measure.SHEAR:
measure = new VectorField(Velocity.GetTimeSlice(_currentSetting.SliceTimeMain), FieldAnalysis.Shear, 1).Scalars[0] as ScalarField;
break;
}
// ~~~~~~~~~~~~~~~~ Sample Field ~~~~~~~~~~~~~~~~~~~ //
switch (_currentSetting.Measure)
{
// Velocity Length / Pathline Length.
case RedSea.Measure.VELOCITY:
if (_currentSetting.IntegrationTime == 0)
{
for (int index = 0; index < _values.Length; ++index)
{
_values[index] = measure.Sample(((Vec3)_linePoints.Points[index].Position).ToVec2());
}
}
else
{
VectorField.Integrator integrator = VectorField.Integrator.CreateIntegrator(Velocity, _currentSetting.IntegrationType);
integrator.Direction = Sign.POSITIVE;
integrator.StepSize = _currentSetting.StepSize;
LineSet line = integrator.Integrate(_linePoints, _currentSetting.Flat, _currentSetting.IntegrationTime)[0];
for (int index = 0; index < _values.Length; ++index)
{
_values[index] = line.Lines[index].LineLength;
}
result.Add(new LineBall(Plane, line));
}
break;
// Simply sample a field.
case RedSea.Measure.SURFACE_HEIGHT:
case RedSea.Measure.SALINITY:
case RedSea.Measure.TEMPERATURE:
case RedSea.Measure.DIVERGENCE:
case RedSea.Measure.VORTICITY:
case RedSea.Measure.SHEAR:
for (int index = 0; index < _values.Length; ++index)
{
_values[index] = measure.Sample(((Vec3)_linePoints.Points[index].Position).ToVec2());
}
break;
// Closeness of Pathline.
case RedSea.Measure.DIVERGENCE_2D:
break;
}
completelyNew = true;
}
//if (completelyNew ||
// AlphaStableChanged ||
// LineSettingChanged)
//{
// ~~~~~~~~~~~~~~~~ Display the Graph ~~~~~~~~~~~~~~~ //
result.Add(FieldAnalysis.BuildGraph(Plane, _linePoints, _values, _currentSetting.AlphaStable, _currentSetting.LineSetting));
//}
_selectionChanged = false;
return(result);
}
public IntegratorRK4Repelling(VectorField field, Line core, float outwardForce) : base(field)
{
Core = core;
Force = outwardForce;
}
public IntegratorRK4(VectorField field) : base(field)
{
}
public IntegratorEuler(VectorField field)
{
Field = field;
}