📄 d6r2.frm
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VERSION 5.00
Begin VB.Form Form1
Caption = "Form1"
ClientHeight = 4290
ClientLeft = 2655
ClientTop = 1740
ClientWidth = 5835
LinkTopic = "Form1"
ScaleHeight = 4290
ScaleWidth = 5835
Begin VB.CommandButton Command1
Caption = "Command1"
Height = 375
Left = 4200
TabIndex = 0
Top = 3600
Width = 1095
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 D6R2
'Driver for routine RAN1
'Calculates pi statistically using volume of unit n-sphere
PI = 3.1415926
Dim IY(3), YPROB(3)
IDUM& = -1
For I = 1 To 3
IY(I) = 0
Next I
Print Tab(13); "Volume of unit n-sphere, n=2,3,4"
Print Tab(5); "# points PI (4/3)*PI (1/2)*PI^2"
For J = 1 To 15
For K = 2 ^ (J - 1) To 2 ^ J
x1 = RAN1(IDUM&)
x2 = RAN1(IDUM&)
x3 = RAN1(IDUM&)
x4 = RAN1(IDUM&)
If (FNC(x1, x2, 0#, 0#) < 1#) Then IY(1) = IY(1) + 1
If (FNC(x1, x2, x3, 0#) < 1#) Then IY(2) = IY(2) + 1
If (FNC(x1, x2, x3, x4) < 1#) Then IY(3) = IY(3) + 1
Next K
For I = 1 To 3
YPROB(I) = 1# * (2 ^ (I + 1)) * IY(I) / (2 ^ J)
Next I
Print Tab(5); 2 ^ J;
For M = 1 To 3
Print Tab(15 + (M - 1) * 14); Format$(YPROB(M), "#.#####0");
Next M
Next J
Print Tab(5); "actual"; Tab(15); Format$(PI, "#.#####0");
Print Tab(29); Format$(4# * PI / 3#, "#.#####0");
Print Tab(43); Format$(0.5 * (PI ^ 2), "#.#####0")
End Sub
Function FNC(x1, x2, x3, x4)
FNC = Sqr(x1 ^ 2 + x2 ^ 2 + x3 ^ 2 + x4 ^ 2)
End Function
Static Function RAN1(IDUM&)
Dim R(97)
M1& = 259200: IA1& = 7141: IC1& = 54773: RM1 = 0.0000038580247
M2& = 134456: IA2& = 8121: IC2& = 28411: RM2 = 0.0000074373773
M3& = 243000: IA3& = 4561: IC3& = 51349
If IDUM& < 0 Or IFF = 0 Then
IFF = 1
IX1& = (IC1& - IDUM&) Mod M1&
IX1& = (IA1& * IX1& + IC1&) Mod M1&
IX2& = IX1& Mod M2&
IX1& = (IA1& * IX1& + IC1&) Mod M1&
IX3& = IX1& Mod M3&
For J = 1 To 97
IX1& = (IA1& * IX1& + IC1&) Mod M1&
IX2& = (IA2& * IX2& + IC2&) Mod M2&
R(J) = (CSng(IX1&) + CSng(IX2&) * RM2) * RM1
Next J
IDUM& = 1
End If
IX1& = (IA1& * IX1& + IC1&) Mod M1&
IX2& = (IA2& * IX2& + IC2&) Mod M2&
IX3& = (IA3& * IX3& + IC3&) Mod M3&
J = 1 + Int((97 * IX3&) / M3&)
If J > 97 Or J < 1 Then Print "Abnormal exit": Exit Function
RAN1 = R(J)
R(J) = (CSng(IX1&) + CSng(IX2&) * RM2) * RM1
End Function
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