📄 d10r2.frm
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VERSION 5.00
Begin VB.Form Form1
Caption = "Form1"
ClientHeight = 4110
ClientLeft = 60
ClientTop = 345
ClientWidth = 4785
LinkTopic = "Form1"
ScaleHeight = 4110
ScaleWidth = 4785
StartUpPosition = 3 'Windows Default
Begin VB.CommandButton Command1
Caption = "Command1"
Height = 375
Left = 3120
TabIndex = 0
Top = 3480
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 D10R2
'Driver for routine ZBRAC
Print
Print Tab(3); "Bracketing values: Function values:"
Print
Print " X1 X2 BESSJ0(X1) BESSJ0(X2)"
Print Tab(5)
For I = 1 To 10
X1 = I
X2 = X1 + 1
Call ZBRAC(X1, X2, SUCCES)
If SUCCES Then
Print Tab(4); Format$(X1, "##.00");
Print Tab(14); Format$(X2, "##.00");
Print Tab(24); Format$(BESSJ0(X1), "0.#####0");
Print Tab(42); Format$(BESSJ0(X2), "0.#####0")
End If
Next I
End Sub
Function FUN(X)
FUN = BESSJ0(X)
End Function
Sub ZBRAC(X1, X2, SUCCES)
FACTOR = 1.6
NTRY = 50
If X1 = X2 Then Print "you have to guess an initial range"
F1 = FUN(X1)
F2 = FUN(X2)
SUCCES = True
For J = 1 To NTRY
If F1 * F2 < 0 Then Exit Sub
If Abs(F1) < Abs(F2) Then
X1 = X1 + FACTOR * (X1 - X2)
F1 = FUN(X1)
Else
X2 = X2 + FACTOR * (X2 - X1)
F2 = FUN(X2)
End If
Next J
SUCCES = False
End Sub
Function BESSJ0(X)
P1# = 1#
P2# = -0.001098628627
P3# = 0.00002734510407
P4# = -0.000002073370639
P5# = 2.093887211E-07
Q1# = -0.01562499995
Q2# = 0.0001430488765
Q3# = -0.000006911147651
Q4# = 7.621095161E-07
Q5# = -9.34945152E-08
R1# = 57568490574#
R2# = -13362590354#
R3# = 651619640.7
R4# = -11214424.18
R5# = 77392.33017
R6# = -184.9052456
S1# = 57568490411#
S2# = 1029532985#
S3# = 9494680.718
S4# = 59272.64853
S5# = 267.8532712
S6# = 1#
If Abs(X) < 8# Then
y# = X * X
BBB# = y# * (R4# + y# * (R5# + y# * R6#))
AAA# = R1# + y# * (R2# + y# * (R3# + BBB#))
CCC# = y# * (S3# + y# * (S4# + y# * (S5# + y# * S6#)))
BESSJ0 = AAA / (S1# + y# * (S2# + CCC#))
Else
AX# = Abs(X)
Z# = 8# / AX#
y# = Z# * Z#
XX = AX# - 0.785398164
CCC# = y# * (P3# + y# * (P4# + y# * P5#))
AAA# = P1# + y# * (P2# + CCC#)
DDD# = y# * (Q3# + y# * (Q4# + y# * Q5#))
EEE# = Z# * Sin(XX) * (Q1# + y# * (Q2# + DDD#))
BESSJ0 = Sqr(0.636619772 / AX#) * (Cos(XX) * AAA# - EEE#)
End If
End Function
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