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' Copyright 2008-2014 Daniel Wagner O. de Medeiros
'
' This file is part of DWSIM.
'
' DWSIM is free software: you can redistribute it and/or modify
' it under the terms of the GNU General Public License as published by
' the Free Software Foundation, either version 3 of the License, or
' (at your option) any later version.
'
' DWSIM is distributed in the hope that it will be useful,
' but WITHOUT ANY WARRANTY; without even the implied warranty of
' MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
' GNU General Public License for more details.
'
' You should have received a copy of the GNU General Public License
' along with DWSIM. If not, see <http://www.gnu.org/licenses/>.
Imports System.Numerics
Imports MathNet.Numerics
Namespace MathEx
Public Class PolySolve
Shared Function Poly_Roots(ByVal Coeff As Double()) As Double(,)
Return CalcRoots(Coeff(3), Coeff(2), Coeff(1), Coeff(0))
End Function
Shared Function Poly_Roots3(ByVal Coeff As Double()) As Double()
Return CalcRoots3(Coeff(3), Coeff(2), Coeff(1), Coeff(0))
End Function
Shared Function CalcRoots2(ByVal a As Double, ByVal b As Double, ByVal c As Double, ByVal d As Double) As Double(,)
Dim roots0 = FindRoots.Cubic(d, c, b, a)
Dim root1 = roots0.Item1
Dim root2 = roots0.Item2
Dim root3 = roots0.Item3
Dim roots(2, 1), real1, im1 As Double
roots(0, 0) = root1.Real
If Math.Abs(root1.Imaginary) > 0.0000000001 Then
roots(0, 1) = root1.Imaginary
Else
real1 = root1.Real
im1 = root1.Imaginary
End If
roots(1, 0) = root2.Real
If Math.Abs(root2.Imaginary) > 0.0000000001 Then
roots(1, 1) = root2.Imaginary
Else
real1 = root2.Real
im1 = root2.Imaginary
End If
roots(2, 0) = root3.Real
If Math.Abs(root3.Imaginary) > 0.0000000001 Then
roots(2, 1) = root3.Imaginary
Else
real1 = root3.Real
im1 = root3.Imaginary
End If
If roots(0, 0) < 0.0000000001 Then
roots(0, 0) = real1
roots(0, 1) = im1
End If
If roots(1, 0) < 0.0000000001 Then
roots(1, 0) = real1
roots(1, 1) = im1
End If
If roots(2, 0) < 0.0000000001 Then
roots(2, 0) = real1
roots(2, 1) = im1
End If
Return roots
End Function
Shared Function CalcRoots3(ByVal a As Double, ByVal b As Double, ByVal c As Double, ByVal d As Double) As Double()
Dim roots0 = FindRoots.Cubic(d, c, b, a)
Dim root1 = roots0.Item1
Dim root2 = roots0.Item2
Dim root3 = roots0.Item3
Dim roots(2) As Double
Dim real1 As Double
If Math.Abs(root1.Imaginary) < 0.00000001 Then
roots(0) = root1.Real
real1 = roots(0)
End If
If Math.Abs(root2.Imaginary) < 0.00000001 Then
roots(1) = root2.Real
real1 = roots(1)
End If
If Math.Abs(root3.Imaginary) < 0.00000001 Then
roots(2) = root3.Real
real1 = roots(2)
End If
If Math.Abs(roots(0)) < 0.0000000001 Then roots(0) = real1
If Math.Abs(roots(1)) < 0.0000000001 Then roots(1) = real1
If Math.Abs(roots(2)) < 0.0000000001 Then roots(2) = real1
Array.Sort(roots)
Return roots
End Function
Shared Function CalcRoots(ByVal a As Double, ByVal b As Double, ByVal c As Double, ByVal d As Double) As Double(,)
Dim cnt As Integer = 0
Dim r, rant, rant2, fi, fi_ant, fi_ant2, dfidr As Double
fi_ant = 0.0#
fi = 0.0#
r = 0.01
rant = r
Do
fi_ant2 = fi_ant
fi_ant = fi
fi = a * r * r * r + b * r * r + c * r + d
dfidr = 3 * a * r * r + 2 * b * r + c
rant = r
r = r - fi / dfidr
If Math.Abs(fi - fi_ant2) = 0.0# Then r = rant * 1.01
cnt += 1
Loop Until Math.Abs(fi) < 0.00000001 Or cnt >= 1000
Dim r1, i1, r2, i2, r3, i3 As Double
If cnt >= 1000 Then
r1 = r
i1 = -1
Else
r1 = r
i1 = 0
End If
fi_ant = 0
fi = 0
cnt = 0
r = 0.99999999
rant = r
Do
fi_ant2 = fi_ant
fi_ant = fi
fi = a * r * r * r + b * r * r + c * r + d
dfidr = 3 * a * r * r + 2 * b * r + c
rant = r
r = r - fi / dfidr
If Math.Abs(fi - fi_ant2) = 0 Then r = rant * 0.999
cnt += 1
Loop Until Math.Abs(fi) < 0.00000001 Or cnt >= 1000
If cnt >= 1000 Then
r2 = r
i2 = -1
Else
r2 = r
i2 = 0
End If
fi_ant = 0
fi = 0
cnt = 0
r = 0.5
rant = r
Do
fi_ant2 = fi_ant
fi_ant = fi
fi = a * r * r * r + b * r * r + c * r + d
dfidr = 3 * a * r * r + 2 * b * r + c
rant = r
r = r - fi / dfidr
If Math.Abs(fi - fi_ant2) = 0 Then r = rant * 0.999
cnt += 1
Loop Until Math.Abs(fi) < 0.00000001 Or cnt >= 1000
If cnt >= 1000 Then
r3 = r
i3 = -1
Else
r3 = r
i3 = 0
End If
Dim roots(2, 1) As Double
roots(0, 0) = r1
roots(0, 1) = i1
roots(1, 0) = r2
roots(1, 1) = i2
roots(2, 0) = r3
roots(2, 1) = i3
Return roots
End Function
End Class
End Namespace |