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Namespace MathEx.AP
<Runtime.InteropServices.StructLayout(Runtime.InteropServices.LayoutKind.Sequential)> _
Public Structure Complex
Public x As Double
Public y As Double
Public Sub New(ByVal _x As Double)
Me.x = _x
Me.y = 0
End Sub
Public Sub New(ByVal _x As Double, ByVal _y As Double)
Me.x = _x
Me.y = _y
End Sub
Public Shared Widening Operator CType(ByVal _x As Double) As Complex
Return New Complex(_x)
End Operator
Public Shared Operator =(ByVal lhs As Complex, ByVal rhs As Complex) As Boolean
Return ((lhs.x = rhs.x) And (lhs.y = rhs.y))
End Operator
Public Shared Operator <>(ByVal lhs As Complex, ByVal rhs As Complex) As Boolean
Return ((lhs.x <> rhs.x) Or (lhs.y <> rhs.y))
End Operator
Public Shared Operator +(ByVal lhs As Complex) As Complex
Return lhs
End Operator
Public Shared Operator -(ByVal lhs As Complex) As Complex
Return New Complex(-lhs.x, -lhs.y)
End Operator
Public Shared Operator +(ByVal lhs As Complex, ByVal rhs As Complex) As Complex
Return New Complex((lhs.x + rhs.x), (lhs.y + rhs.y))
End Operator
Public Shared Operator -(ByVal lhs As Complex, ByVal rhs As Complex) As Complex
Return New Complex((lhs.x - rhs.x), (lhs.y - rhs.y))
End Operator
Public Shared Operator *(ByVal lhs As Complex, ByVal rhs As Complex) As Complex
Return New Complex(((lhs.x * rhs.x) - (lhs.y * rhs.y)), ((lhs.x * rhs.y) + (lhs.y * rhs.x)))
End Operator
Public Shared Operator /(ByVal lhs As Complex, ByVal rhs As Complex) As Complex
Dim complex As Complex
Dim num As Double
Dim num2 As Double
If (Math.Abs(rhs.y) < Math.Abs(rhs.x)) Then
num = (rhs.y / rhs.x)
num2 = (rhs.x + (rhs.y * num))
complex.x = ((lhs.x + (lhs.y * num)) / num2)
complex.y = ((lhs.y - (lhs.x * num)) / num2)
Return complex
End If
num = (rhs.x / rhs.y)
num2 = (rhs.y + (rhs.x * num))
complex.x = ((lhs.y + (lhs.x * num)) / num2)
complex.y = ((-lhs.x + (lhs.y * num)) / num2)
Return complex
End Operator
End Structure
Public Class MathEx
' Methods
Public Shared Function AbsComplex(ByVal z As Complex) As Double
Dim num2 As Double = Math.Abs(z.x)
Dim num3 As Double = Math.Abs(z.y)
Dim num As Double = IIf((num2 > num3), num2, num3)
Dim num4 As Double = IIf((num2 < num3), num2, num3)
If (num4 = 0) Then
Return num
End If
Dim num5 As Double = (num4 / num)
Return (num * Math.Sqrt((1 + (num5 * num5))))
End Function
Public Shared Function Conj(ByVal z As Complex) As Complex
Return New Complex(z.x, -z.y)
End Function
Public Shared Function CSqr(ByVal z As Complex) As Complex
Return New Complex(((z.x * z.x) - (z.y * z.y)), ((2 * z.x) * z.y))
End Function
Public Shared Function RandomInteger(ByVal N As Integer) As Integer
Return MathEx.RndObject.Next(N)
End Function
Public Shared Function RandomReal() As Double
Return MathEx.RndObject.NextDouble
End Function
Public Shared Function Sqr(ByVal X As Double) As Double
Return (X * X)
End Function
' Fields
Public Const MachineEpsilon As Double = 0.0000000000000005
Public Const MaxRealNumber As Double = 1.0E+300
Public Const MinRealNumber As Double = 1.0E-300
Private Shared RndObject As Random = New Random
End Class
End Namespace
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