📄 d5r4.frm
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VERSION 5.00
Begin VB.Form Form1
Caption = "Form1"
ClientHeight = 5010
ClientLeft = 60
ClientTop = 345
ClientWidth = 4680
LinkTopic = "Form1"
ScaleHeight = 5010
ScaleWidth = 4680
StartUpPosition = 3 'Windows Default
Begin VB.CommandButton Command1
Caption = "Command1"
Height = 375
Left = 3120
TabIndex = 0
Top = 4320
Width = 1335
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 D5R4
'Driver for routine CHEBFT
NVAL = 40
PIO2 = 1.5707963
EPS = 0.000001
Dim C(40)
A = -PIO2
B = PIO2
Call CHEBFT(A, B, C(), NVAL)
'Test result
Print
Print Tab(5); "How many terms in Chebyshev evaluation?"
'Input MVAL , between 1 and 40, MVAL=0 TO END
MVAL = 20
Print Tab(5); MVAL
If (MVAL <= 0) Or (MVAL > NVAL) Then Exit Sub
Print Tab(5); " X Actual Chebyshev fit"
For I = -8 To 8 Step 1
X = I * PIO2 / 10#
Y = (X - 0.5 * (B + A)) / (0.5 * (B - A))
'Evaluate Chebyshev polynomial without using
'routine CHEBEV
T0 = 1#
T1 = Y
F = C(2) * T1 + C(1) * 0.5
For J = 3 To MVAL
DUM = T1
T1 = 2# * Y * T1 - T0
T0 = DUM
TERM = C(J) * T1
F = F + TERM
Next J
Print Tab(4); Format$(X, ".##0000");
Print Tab(19); Format$(FUNC(X), "#.###000");
Print Tab(33); Format$(F, "#.###000")
Next I
End Sub
Function FUNC(X)
FUNC = (X ^ 2) * (X ^ 2 - 2#) * Sin(X)
End Function
Sub CHEBFT(A, B, C(), N)
NMAX = 50
Dim F(50)
PI = 3.14159265358979
BMA = 0.5 * (B - A)
BPA = 0.5 * (B + A)
For K = 1 To N
Y = Cos(PI * (K - 0.5) / N)
F(K) = FUNC(Y * BMA + BPA)
Next K
FAC = 2# / N
For J = 1 To N
Sum = 0#
For K = 1 To N
Sum = Sum + F(K) * Cos((PI * (J - 1)) * ((K - 0.5) / N))
Next K
C(J) = FAC * Sum
Next J
End Sub
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