?? d4r27.frm
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VERSION 5.00
Begin VB.Form Form1
Caption = "Form1"
ClientHeight = 5805
ClientLeft = 60
ClientTop = 345
ClientWidth = 5730
LinkTopic = "Form1"
ScaleHeight = 5805
ScaleWidth = 5730
StartUpPosition = 3 'Windows Default
Begin VB.CommandButton Command1
Caption = "Command1"
Height = 375
Left = 4200
TabIndex = 0
Top = 5160
Width = 1215
End
End
Attribute VB_Name = "Form1"
Attribute VB_GlobalNameSpace = False
Attribute VB_Creatable = False
Attribute VB_PredeclaredId = True
Attribute VB_Exposed = False
Private Sub Command1_ClicK()
'PROGRAM D4R27
'Driver for routine BESJAN
Dim N(18), VALUE(18), F(18), A(18), X(18)
Open "D:\VB常用數值算法集\DATA\FNCVAL.DAT" For Input As #1
Do
Line Input #1, Text$
Loop While Text$ <> "Bessel Function Ja+n"
Line Input #1, NVAL$
NVAL = Val(NVAL$)
Print Text$
Print
Print " N A IH X Actual BESJAN"
For I = 0 To NVAL - 1
Line Input #1, DUM$
N(I) = Val(Mid(DUM$, 1, 7))
A(I) = Val(Mid(DUM$, 8, 8))
X(I) = Val(Mid(DUM$, 16, 8))
VALUE(I) = Val(Mid(DUM$, 24))
Next I
IH = 1
Call BESJAN(X(0), A(0), 4, IH, F())
For I = 0 To 4
Print Tab(4); Format$(N(I), "#0");
Print Tab(9); Format$(A(I), "0.#");
Print Tab(16); Format$(IH, "#");
Print Tab(22); Format$(X(I), "0.000000");
Print Tab(34); Format$(VALUE(I), ".000000E+00");
Print Tab(48); Format$(F(I), ".000000E+00");
Next I
Call BESJAN(X(5), A(5), 4, IH, F())
For I = 5 To 9
Print Tab(4); Format$(N(I), "#0");
Print Tab(9); Format$(A(I), "0.#");
Print Tab(16); Format$(IH, "#");
Print Tab(22); Format$(X(I), "0.000000");
Print Tab(34); Format$(VALUE(I), ".000000E+00");
Print Tab(48); Format$(F(I - 5), ".000000E+00");
Next I
IH = -1
Call BESJAN(X(10), A(10), 4, IH, F())
For I = 10 To 13
Print Tab(4); Format$(N(I), "#0");
Print Tab(9); Format$(A(I), "0.#");
Print Tab(16); Format$(IH, "#");
Print Tab(22); Format$(X(I), "0.000000");
Print Tab(34); Format$(VALUE(I), ".000000E+00");
Print Tab(48); Format$(F(I - 9), ".000000E+00");
Next I
Call BESJAN(X(14), A(14), 4, IH, F())
For I = 14 To 17
Print Tab(4); Format$(N(I), "#0");
Print Tab(9); Format$(A(I), "0.#");
Print Tab(16); Format$(IH, "#");
Print Tab(22); Format$(X(I), "0.000000");
Print Tab(34); Format$(VALUE(I), ".000000E+00");
Print Tab(48); Format$(F(I - 13), ".000000E+00");
Next I
Close #1
End Sub
Sub BESJAN(X, A, NM, IH, F())
If IH = 1 Then
Call JAP(X, A, NM, F())
Exit Sub
Else
Call JAP(X, A, 1, F())
F(1) = 2# * A * F(0) / X - F(1)
For I = 1 To NM - 1
F(I + 1) = 2# * (A - I) * F(I) / X - F(I - 1)
Next I
Exit Sub
End If
End Sub
Sub JAP(X, A, NMAX, F())
MMAX = 10
E = 4
EPS = 0.5 * 10 ^ (-E)
Dim FA(10), RR(10)
For N = 0 To NMAX
FA(N) = 0#
Next N
Sum = Exp(GAMMLN(1# + A))
Sum = Exp(A * Log(X / 2#)) / Sum
D1 = 2.3026 * E + 1.3863
If NMAX > 0 Then
R = T(0.5 * D1 / NMAX) * NMAX
Else
R = 0#
End If
S = T(0.73576 * D1 / X) * 1.3591 * X
If R <= S Then
NU = 1 + Int(S)
Else
NU = 1 + Int(R)
End If
1 M = 0
AL = 1#
LI = Int(NU / 2)
2 M = M + 1
AL = AL * (M + A) / (M + 1)
If M < LI Then GoTo 2
N = 2 * M
R = 0#
S = 0#
3 R = 1# / (2# * (A + N) / X - R)
If Int(N / 2) <> N / 2# Then
AM = 0#
Else
AL = AL * (N + 2) / (N + 2# * A)
AM = AL * (N + A)
End If
S = R * (AM + S)
If N <= NMAX Then RR(N - 1) = R
N = N - 1
If N >= 1 Then GoTo 3
F(0) = Sum / (1# + S)
For N = 0 To NMAX - 1
F(N + 1) = RR(N) * F(N)
Next N
For N = 0 To NMAX
If Abs((F(N) - FA(N)) / F(N)) > EPS Then
For M = 0 To NMAX
FA(M) = F(M)
Next M
NU = NU + 5
GoTo 1
End If
Next N
End Sub
Function T(Y)
If Y <= 10# Then
AAA = 0.000057941 * Y - 0.00176148 * Y + 0.0208645
BBB = 1
T = ((AAA * Y - 0.129013) * Y + 0.85777) * Y + 1.0125
Else
Z = Log(Y) - 0.775
P = (0.775 - Log(Z)) / (1# + Z)
T = Y / (P + 1#) / Z
End If
End Function
Function GAMMLN(XX)
Dim COF(6)
COF(1) = 76.18009173
COF(2) = -86.50532033
COF(3) = 24.01409822
COF(4) = -1.231739516
COF(5) = 0.00120858003
COF(6) = -0.00000536382
STP = 2.50662827465
HALF = 0.5
ONE = 1#
FPF = 5.5
X = XX - ONE
TMP = X + FPF
TMP = (X + HALF) * Log(TMP) - TMP
SER = ONE
For J = 1 To 6
X = X + ONE
SER = SER + COF(J) / X
Next J
GAMMLN = TMP + Log(STP * SER)
End Function
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