?? d4r10.frm
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VERSION 5.00
Begin VB.Form Form1
Caption = "Form1"
ClientHeight = 5550
ClientLeft = 2460
ClientTop = 945
ClientWidth = 4575
LinkTopic = "Form1"
ScaleHeight = 5550
ScaleWidth = 4575
Begin VB.CommandButton Command1
Caption = "Command1"
Height = 375
Left = 2520
TabIndex = 0
Top = 4800
Width = 1455
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 D4R10
'Driver for routine ERF
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$ <> "Error Function"
Line Input #1, NVAL$
NVAL = Val(NVAL$)
Print Text$
Print
Print " X Actual ERF(X)"
For I = 1 To NVAL
Line Input #1, DUM$
X = Val(Mid(DUM$, 1, 6))
Value = Val(Mid(DUM$, 7))
Print Tab(4); Format$(X, "#0.0#");
Print Tab(12); Format$(Value, "0.0000000");
Print Tab(25); Format$(ERF(X), "0.0000000")
Next I
Close #1
End Sub
Function ERF(X)
If X < 0# Then
ERF = -GAMMP(0.5, X ^ 2)
Else
ERF = GAMMP(0.5, X ^ 2)
End If
End Function
Function ERFC(X)
If X < 0# Then
ERFC = 1# + GAMMP(0.5, X ^ 2)
Else
ERFC = GAMMQ(0.5, X ^ 2)
End If
End Function
Function ERFCC(X)
Z = Abs(X)
T = 1# / (1# + 0.5 * Z)
DDD = -0.82215223 + T * 0.17087277
AAA = T * (-1.13520398 + T * (1.48851587 + T * DDD))
BBB = T * (-0.18628806 + T * (0.27886807 + AAA))
CCC = T * (0.37409196 + T * (0.09678418 + BBB))
ERFCC = T * Exp(-Z * Z - 1.26551223 + T * (1.00002368 + CCC))
If X < 0# Then ERFCC = 2# - ERFCC
End Function
Function GAMMP(A, X)
If X < 0# Or A <= 0# Then
Print "PAUSE"
Exit Function
End If
If X < A + 1# Then
Call GSER(GAMSER, A, X, GLN)
GAMMP = GAMSER
Else
Call GCF(GAMMCF, A, X, GLN)
GAMMP = 1# - GAMMCF
End If
End Function
Function GAMMQ(A, X)
If X < 0# Or A <= 0# Then
Print "PAUSE"
Exit Function
End If
If X < A + 1# Then
Call GSER(GAMSER, A, X, GLN)
GAMMQ = 1# - GAMSER
Else
Call GCF(GAMMCF, A, X, GLN)
GAMMQ = GAMMCF
End If
End Function
Sub GSER(GAMSER, A, X, GLN)
ITMAX = 100
EPS = 0.0000003
GLN = GAMMLN(A)
If X <= 0# Then
If X < 0# Then
Print " PAUSE"
Exit Sub
End If
GAMSER = 0#
Exit Sub
End If
AP = A
Sum = 1# / A
DEL = Sum
For N = 1 To ITMAX
AP = AP + 1#
DEL = DEL * X / AP
Sum = Sum + DEL
If Abs(DEL) < Abs(Sum) * EPS Then GoTo 1
Next N
Print "A too large, ITMAX too small"
1 GAMSER = Sum * Exp(-X + A * Log(X) - GLN)
End Sub
Sub GCF(GAMMCF, A, X, GLN)
ITMAX = 100
EPS = 0.0000003
GLN = GAMMLN(A)
GOLD = 0#
A0 = 1#
A1 = X
B0 = 0#
B1 = 1#
FAC = 1#
For N = 1 To ITMAX
AN = N
ANA = AN - A
A0 = (A1 + A0 * ANA) * FAC
B0 = (B1 + B0 * ANA) * FAC
ANF = AN * FAC
A1 = X * A0 + ANF * A1
B1 = X * B0 + ANF * B1
If A1 <> 0# Then
FAC = 1# / A1
G = B1 * FAC
If Abs((G - GOLD) / G) < EPS Then GoTo 1
GOLD = G
End If
Next N
Print "A too large, ITMAX too small"
1 GAMMCF = Exp(-X + A * Log(X) - GLN) * G
End Sub
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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