0
所以我有一個「主」功能(SolveSixODES),它調用一個輔助功能(AllODEs)。當它這樣做時,主函數中的x值會被修改。我不明白這是怎麼可能的,因爲它不是一個全球變量。另一個函數中的局部變量如何影響主函數中的變量?
下面是代碼,是我的輸入I使用如下:
x = 0時,XMAX = 3,Y = 0-6,H = 0.1,誤差= 0.1
Public Function SolveSixODE(x As Double, xmax As Double, Y As Range, h As Double, error As Double) 'Weird bug: You must leave the first y4 value blank
Dim i As Integer, k(7, 7) As Double, j As Integer, m As Integer 'k(Order #, equation #)
Dim Y5(7) As Double, Y4(7) As Double, Y4Old(7) As Double
Dim delta0(7) As Double, delta1(7) As Double, delRatio(7) As Double, Rmin As Double
For i = 1 To 6 'Moving the input data so it can acutally be used
Y4(i) = Y(i)
Next i
While x < xmax
If x + h < xmax Then
x = x + h
Else
h = xmax - x
x = xmax
End If
For j = 1 To 6 'j is the order i is equation number
For i = 1 To 6 'Calculating all of the k(1) values for eq 1 to 6
k(j, i) = AllODES(x, Y4, i, j, k, h) '!!!!!SOME HOW THIS LOOP MAKES X negative...!!!!!!!
Next i
Next j
For i = 1 To 6
Y4Old(i) = Y4(i) 'Saving old y4 value to calc delta0
Y4(i) = Y4(i) + h * (k(1, i) * (37/378) + k(3, i) * (250/621) + k(4, i) * (125/594) + k(6, i) * (512/1771))
Y5(i) = Y4(i) + h * (k(1, i) * (2825/27648) + k(3, i) * (18575/48384) + k(4, i) * (13525/55296) + k(5, i) * (277/14336) + k(6, i) * (0.25))
delta0(i) = error * (Abs(Y4Old(i)) + Abs(h * AllODES(x, Y4Old, i, 1, k, h))) 'First order because we don't want to use the k vals
delta1(i) = Abs(Y5(i) - Y4(i))
delRatio(i) = Abs(delta0(i)/delta1(i)) 'Ratio of errors
Next i
Rmin = delRatio(1)
For i = 2 To 6
If delRatio(i) < Rmin Then
Rmin = delRatio(i) 'Determine the smallest error ratio
End If
Next i
If Rmin < 1 Then 'If this is true then the step size was too big must repeat step
x = x - h 'Set x and y's back to previous values
For i = 1 To 6
Y4(i) = Y4Old(i)
Next i
h = 0.9 * h * Rmin^0.25 'adjust h value; 0.9 is a safety factor
Else
h = 0.9 * h * Rmin^0.2 'Otherwise, we march on
End If
m = m + 1
Wend
SolveSixODE = Y4
End Function
Public Function AllODES(x As Double, Y() As Double, EqNumber As Integer, order As Integer, k() As Double, h As Double) As Double
Dim conc(7) As Double, i As Integer, j As Integer
If order = 1 Then
x = x - h
For i = 1 To 6 'Movin the data so I can use it
conc(i) = Y(i) 'also adjusting the x and y values for RK4 (Cash Karp values)
Next i
ElseIf order = 2 Then
x = x - h + h * 0.2
For i = 1 To 6
conc(i) = Y(i) + h * k(1, i) * 0.2
Next i
ElseIf order = 3 Then
x = x - h + 0.3 * h
For i = 1 To 6
conc(i) = Y(i) + h * (0.075 * k(1, i) + 0.225 * k(2, i))
Next i
ElseIf order = 4 Then
x = x - h + 0.6 * h
For i = 1 To 6
conc(i) = Y(i) + h * (0.3 * k(1, i) - 0.9 * k(2, i) + 1.2 * k(3, i))
Next i
ElseIf order = 5 Then
x = x - h + h
For i = 1 To 6
conc(i) = Y(i) + h * ((-11/54) * k(1, i) + 2.5 * k(2, i) - (70/27) * k(3, i) + (35/27) * k(4, i))
Next i
ElseIf order = 6 Then
x = x - h + 0.875 * h
For i = 1 To 6
conc(i) = Y(i) + h * ((1631/55296) * k(1, i) + (175/512) * k(2, i) + (575/13824) * k(3, i) + (44275/(110592) * k(4, i) + (253/4096) * k(5, i)))
Next i
Else
MsgBox ("error")
End If
If EqNumber = 1 Then 'These are the actual equations
AllODES = x + Y(1)
ElseIf EqNumber = 2 Then
AllODES = x
ElseIf EqNumber = 3 Then
AllODES = Y(3)
ElseIf EqNumber = 4 Then
AllODES = 2 * x
ElseIf EqNumber = 5 Then
AllODES = 2 * Y(2)
ElseIf EqNumber = 6 Then
AllODES = 3 * x
Else
MsgBox ("You entered an Eq Number that was dumb")
End If
End Function
這是可能是因爲我錯過了一些非常微不足道的東西,但這似乎與我對變量如何工作的認識相矛盾。所以如果你理解函數在這種情況下如何處理來自另一個函數的變量,我將不勝感激任何建議和/或解釋!
提前致謝!