public GlobalBSpline InteractiveGlobalBSpline(int degree, double[] knots, double[] referencePoints, double leftDerivation, double rightDerivation, bool containsServiceKnots)
{
var controlPointsAndAuxKnots =
_globalBSplineEngine.GlobalControlPointsAndAuxiliaryKnots(degree, knots, referencePoints, leftDerivation, rightDerivation, containsServiceKnots);
var spline = InteractiveGlobalBSpline(degree, controlPointsAndAuxKnots.Item2, controlPointsAndAuxKnots.Item1, referencePoints, true);
spline.LeftDerivation = leftDerivation;
spline.RightDerivation = rightDerivation;
Ellipse leftDerEll, rightDerEll;
double pax, pay;
if (containsServiceKnots)
{
var auxKnot = knots[degree] - DERIVATIVE_AUX_KNOT_DISTANCE;
var auxReferencePoint = MathOperations.LinearFunction(auxKnot, knots[degree], referencePoints.First(), leftDerivation);
pax = TransformCoordinates.WorldAreaToPlotAreaX(auxKnot, _plotArea, _worldArea);
pay = TransformCoordinates.WorldAreaToPlotAreaY(auxReferencePoint, _plotArea, _worldArea);
leftDerEll = _auxiliaryEngine.DrawEllipse(pax - W_DIV_2, pay - H_DIV_2, AUX_KNOT_COLOR3);
auxKnot = knots[degree + referencePoints.Length - 1] + DERIVATIVE_AUX_KNOT_DISTANCE;
auxReferencePoint = MathOperations.LinearFunction(auxKnot, knots[degree + referencePoints.Length - 1], referencePoints.Last(), rightDerivation);
pax = TransformCoordinates.WorldAreaToPlotAreaX(auxKnot, _plotArea, _worldArea);
pay = TransformCoordinates.WorldAreaToPlotAreaY(auxReferencePoint, _plotArea, _worldArea);
rightDerEll = _auxiliaryEngine.DrawEllipse(pax - W_DIV_2, pay - H_DIV_2, AUX_KNOT_COLOR3);
}
else
{
var auxKnot = knots.First() - DERIVATIVE_AUX_KNOT_DISTANCE;
var auxReferencePoint = MathOperations.LinearFunction(auxKnot, knots.First(), referencePoints.First(), leftDerivation);
pax = TransformCoordinates.WorldAreaToPlotAreaX(auxKnot, _plotArea, _worldArea);
pay = TransformCoordinates.WorldAreaToPlotAreaY(auxReferencePoint, _plotArea, _worldArea);
leftDerEll = _auxiliaryEngine.DrawEllipse(pax - W_DIV_2, pay - H_DIV_2, AUX_KNOT_COLOR3);
auxKnot = knots.Last() + DERIVATIVE_AUX_KNOT_DISTANCE;
auxReferencePoint = MathOperations.LinearFunction(auxKnot, knots.Last(), referencePoints.Last(), rightDerivation);
pax = TransformCoordinates.WorldAreaToPlotAreaX(auxKnot, _plotArea, _worldArea);
pay = TransformCoordinates.WorldAreaToPlotAreaY(auxReferencePoint, _plotArea, _worldArea);
rightDerEll = _auxiliaryEngine.DrawEllipse(pax - W_DIV_2, pay - H_DIV_2, AUX_KNOT_COLOR3);
}
spline.LeftDerivationEllipse = leftDerEll;
spline.RightDerivationEllipse = rightDerEll;
return(spline);
}
private void DragGBSplineLeftDerivation(MouseEventArgs e)
{
var yCursorPosition = CursorPositionY(e);
_selectedEllipse.SetValue(Canvas.TopProperty, yCursorPosition);
var degree = _selectedGlobalBSpline.Degree;
var yCursorPositionInWA = TransformCoordinates.PlotAreaToWorldAreaY(yCursorPosition + H_DIV_2, _plotArea, _worldArea);
var xCursorPositionInWA = _selectedGlobalBSpline.Knots[degree] - SplineDrawer.DERIVATIVE_AUX_KNOT_DISTANCE;
var xCursorPosition = TransformCoordinates.WorldAreaToPlotAreaX(xCursorPositionInWA, _plotArea, _worldArea);
_selectedGlobalBSpline.LeftDerivation = MathOperations.DirectionOfLinearFunction(xCursorPositionInWA, yCursorPositionInWA, _selectedGlobalBSpline.Knots[degree], _selectedGlobalBSpline.FunctionValues[0]);
_dragInfoLabel.WriteAndSetCoordinates(_selectedGlobalBSpline.LeftDerivation, xCursorPositionInWA, yCursorPositionInWA, xCursorPosition + AVOID_CURSOR_X, yCursorPosition + H_DIV_2);
_dragInfoLabel.Visibility = Visibility.Visible;
_canvasUtilities.RefreshGlobalBSplineInCanvas(_selectedGlobalBSpline, canvas1, _engine);
}
private void DragCSplineLeftDerivation(MouseEventArgs e)
{
var cursorPositionY = CursorPositionY(e);
_selectedEllipse.SetValue(Canvas.TopProperty, cursorPositionY);
var yCursorPositionInWA = TransformCoordinates.PlotAreaToWorldAreaY(cursorPositionY + H_DIV_2, _plotArea, _worldArea);
var xCursorPositionInWA = _selectedClampedSpline.Knots[0] - SplineDrawer.DERIVATIVE_AUX_KNOT_DISTANCE;
var xCursorPosition = TransformCoordinates.WorldAreaToPlotAreaX(xCursorPositionInWA, _plotArea, _worldArea);
_selectedClampedSpline.Derivations[0] = MathOperations.DirectionOfLinearFunction(xCursorPositionInWA, yCursorPositionInWA, _selectedClampedSpline.Knots[0], _selectedClampedSpline.ControlPoints[0]);
_dragInfoLabel.WriteAndSetCoordinates(_selectedClampedSpline.Derivations[0], xCursorPositionInWA, yCursorPositionInWA, xCursorPosition + AVOID_CURSOR_X, cursorPositionY + H_DIV_2);
_dragInfoLabel.Visibility = Visibility.Visible;
_canvasUtilities.RefreshClampedSplineInCanvas(_selectedClampedSpline, canvas1, _engine);
// }
}
private void DragHSplineDerivation(MouseEventArgs e)
{
var yCursorPosition = CursorPositionY(e);
_selectedEllipse.SetValue(Canvas.TopProperty, yCursorPosition);
var yCursorPositionInWA = TransformCoordinates.PlotAreaToWorldAreaY(yCursorPosition, _plotArea, _worldArea);
var xCursorPositionInWA = _selectedHermiteSpline.Knots[_changedPointIndex] - SplineDrawer.DERIVATIVE_AUX_KNOT_DISTANCE;
_selectedHermiteSpline.Derivations[_changedPointIndex] =
MathOperations.DirectionOfLinearFunction(xCursorPositionInWA, yCursorPositionInWA, _selectedHermiteSpline.Knots[_changedPointIndex], _selectedHermiteSpline.ControlPoints[_changedPointIndex]);
var selectedKnotPositionInPA = TransformCoordinates.WorldAreaToPlotAreaX(_selectedHermiteSpline.Knots[_changedPointIndex], _plotArea, _worldArea);
_dragInfoLabel.WriteAndSetCoordinates(_changedPointIndex, _selectedHermiteSpline.Derivations[_changedPointIndex], xCursorPositionInWA, yCursorPositionInWA, selectedKnotPositionInPA + AVOID_CURSOR_X, yCursorPosition + H_DIV_2);
_dragInfoLabel.Visibility = Visibility.Visible;
_canvasUtilities.RefreshHermiteSplineInCanvas(_selectedHermiteSpline, canvas1, _engine);
}
internal Tuple <double[], double[]> GlobalControlPointsAndAuxiliaryKnots(int degree, double[] knots, double[] knotsFunctionValues, double leftDerivation, double rightDerivation, bool areKnotsService)
{
var matrixAndAuxKnots = GlobalBSplineMatrix(degree, knots, areKnotsService);
var invertedMatrix = MathOperations.MatrixInvert(matrixAndAuxKnots.Item1);
var controlPoints = MathOperations.MultiplyMatrixAndVector(invertedMatrix, knotsFunctionValues, leftDerivation, rightDerivation);
//var knotsFunctionValuesMatrix = ArrayMyUtils.ArrayToMatrix(knotsFunctionValues);
//var controlPointsMatrix = AlgebraOperations.MultiplyMatrices(invertedMatrix,knotsFunctionValuesMatrix);
//double[] controlPoints = null;
//try
//{
// controlPoints = ArrayMyUtils.OneColumnMatrixToArray(controlPointsMatrix);
//}
//catch (NumberOfMatrixColumnIsNotOneException)
//{
// System.Diagnostics.Debug.WriteLine("Matrix cannot be converted to an array because number of columns is not one");
// return null;
//}
return(new Tuple <double[], double[]>(controlPoints, matrixAndAuxKnots.Item2));
}
public ClampedSpline InteractiveClampedSpline(double[] knots, double[] controlPoints, double leftDerivation, double rightDerivation)
{
var ellipses = new List <Ellipse>(knots.Length);
Ellipse leftDerEll, rightDerEll;
double pax, pay;
var auxKnot = knots.First() - DERIVATIVE_AUX_KNOT_DISTANCE;
var auxControlPoint = MathOperations.LinearFunction(auxKnot, knots.First(), controlPoints.First(), leftDerivation);
pax = TransformCoordinates.WorldAreaToPlotAreaX(auxKnot, _plotArea, _worldArea);
pay = TransformCoordinates.WorldAreaToPlotAreaY(auxControlPoint, _plotArea, _worldArea);
leftDerEll = _auxiliaryEngine.DrawEllipse(pax - W_DIV_2, pay - H_DIV_2, AUX_KNOT_COLOR2);
auxKnot = knots.Last() + DERIVATIVE_AUX_KNOT_DISTANCE;
auxControlPoint = MathOperations.LinearFunction(auxKnot, knots.Last(), controlPoints.Last(), rightDerivation);
pax = TransformCoordinates.WorldAreaToPlotAreaX(auxKnot, _plotArea, _worldArea);
pay = TransformCoordinates.WorldAreaToPlotAreaY(auxControlPoint, _plotArea, _worldArea);
rightDerEll = _auxiliaryEngine.DrawEllipse(pax - W_DIV_2, pay - H_DIV_2, AUX_KNOT_COLOR2);
for (int i = 0; i < knots.Length; i++)
{
pax = TransformCoordinates.WorldAreaToPlotAreaX(knots[i], _plotArea, _worldArea);
pay = TransformCoordinates.WorldAreaToPlotAreaY(controlPoints[i], _plotArea, _worldArea);
ellipses.Add(_auxiliaryEngine.DrawEllipse(pax - W_DIV_2, pay - H_DIV_2, KNOT_COLOR2));
}
// List<Line> linesOfSpline = HermiteSplineLines(knots,controlPoints);
ClampedSpline spline = ClampedSpline(knots, controlPoints, leftDerivation, rightDerivation);
spline.DragEllipses = ellipses;
spline.LeftDerivationEllipse = leftDerEll;
spline.RightDerivationEllipse = rightDerEll;
return(spline);
}
internal Tuple <double[], double[]> FunctionApproximationControlPointsAndAuxiliaryKnots(int degree, double[] pointsX, double[] pointsY, double[] knots, int[] knotsIndexes)
{
Tuple <double[][], double[]> matrixAndAuxKnots = FunctionApproximationMatrix(pointsX, knots, knotsIndexes, degree);
double[][] matrix = matrixAndAuxKnots.Item1;
double[][] transposeMatrix = MathOperations.TransposeMatrix(matrix);
double[][] transposeAndMatrixMultiplicationInversion = MathOperations.MatrixInvert(MathOperations.MultiplyMatrices(transposeMatrix, matrix));
double[][] YMatrix = ArrayMyUtils.ArrayToMatrix(pointsY);
double[][] finalMatrix;
double[] finalMatrixAsArray;
List <double[][]> matrixList = new List <double[][]>();
matrixList.Add(transposeAndMatrixMultiplicationInversion);
matrixList.Add(transposeMatrix);
matrixList.Add(YMatrix);
finalMatrix = MathOperations.MultiplyListOfMatrices(matrixList);
try
{
finalMatrixAsArray = ArrayMyUtils.OneColumnMatrixToArray(finalMatrix);
}
catch (NumberOfMatrixColumnIsNotOneException)
{
System.Diagnostics.Debug.WriteLine("Matrix cannot be converted to an array because number of columns is not one");
return(null);
}
return(new Tuple <double[], double[]>(finalMatrixAsArray, matrixAndAuxKnots.Item2));
}
