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Imports DWSIM.DrawingTools.Point
Imports System.Linq
Namespace MathEx
Public Class Intersection
Public Shared Function FindIntersection(ByVal curve1 As List(Of Point), curve2 As List(Of Point), curve1fit As LMFit.FitType, curve2fit As LMFit.FitType, tolerance As Double, xmin As Double, xmax As Double, npoints As Integer) As List(Of Point)
Dim polyfit As New DWSIM.MathOps.MathEx.LMFit()
Dim ie1, ie2 As Double()
Select Case curve1fit
Case LMFit.FitType.Linear
ie1 = New Double() {1.0, 1.0}
Case LMFit.FitType.SecondDegreePoly
ie1 = New Double() {1.0, 1.0, 1.0}
Case LMFit.FitType.ThirdDegreePoly
ie1 = New Double() {1.0, 1.0, 1.0, 1.0}
Case LMFit.FitType.FourthDegreePoly
ie1 = New Double() {1.0, 1.0, 1.0, 1.0, 1.0}
Case Else
ie1 = New Double() {}
End Select
Select Case curve2fit
Case LMFit.FitType.Linear
ie2 = New Double() {1.0, 1.0}
Case LMFit.FitType.SecondDegreePoly
ie2 = New Double() {1.0, 1.0, 1.0}
Case LMFit.FitType.ThirdDegreePoly
ie2 = New Double() {1.0, 1.0, 1.0, 1.0}
Case LMFit.FitType.FourthDegreePoly
ie2 = New Double() {1.0, 1.0, 1.0, 1.0, 1.0}
Case Else
ie2 = New Double() {}
End Select
Dim c1 = polyfit.GetCoeffs(curve1.Select(Function(p) p.X).ToArray, curve1.Select(Function(p) p.Y).ToArray, ie1, curve1fit, 0.000001, 0.000001, 0.000001, 1000)
Dim c2 = polyfit.GetCoeffs(curve2.Select(Function(p) p.X).ToArray, curve2.Select(Function(p) p.Y).ToArray, ie2, curve2fit, 0.000001, 0.000001, 0.000001, 1000)
Dim c1coeffs = c1.Item1
Dim c2coeffs = c2.Item1
Dim intersections As New List(Of Point)
Dim c1v, c2v As Double
For x As Double = xmin To xmax Step (xmax - xmin) / npoints
Select Case curve1fit
Case LMFit.FitType.Linear
c1v = c1coeffs(0) + c1coeffs(1) * x
Case LMFit.FitType.SecondDegreePoly
c1v = c1coeffs(0) + c1coeffs(1) * x + c1coeffs(2) * x ^ 2
Case LMFit.FitType.ThirdDegreePoly
c1v = c1coeffs(0) + c1coeffs(1) * x + c1coeffs(2) * x ^ 2 + c1coeffs(3) * x ^ 3
Case LMFit.FitType.FourthDegreePoly
c1v = c1coeffs(0) + c1coeffs(1) * x + c1coeffs(2) * x ^ 2 + c1coeffs(3) * x ^ 3 + c1coeffs(4) * x ^ 4
End Select
Select Case curve2fit
Case LMFit.FitType.Linear
c2v = c2coeffs(0) + c2coeffs(1) * x
Case LMFit.FitType.SecondDegreePoly
c2v = c2coeffs(0) + c2coeffs(1) * x + c2coeffs(2) * x ^ 2
Case LMFit.FitType.ThirdDegreePoly
c2v = c2coeffs(0) + c2coeffs(1) * x + c2coeffs(2) * x ^ 2 + c2coeffs(3) * x ^ 3
Case LMFit.FitType.FourthDegreePoly
c2v = c2coeffs(0) + c2coeffs(1) * x + c2coeffs(2) * x ^ 2 + c2coeffs(3) * x ^ 3 + c2coeffs(4) * x ^ 4
End Select
If Math.Abs(c1v - c2v) < tolerance Then
intersections.Add(New Point(x, c1v))
End If
Next
Return intersections
End Function
End Class
End Namespace
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