📄 tracking.frm
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R(2, 1) = uminus(msin(alphaR))
R(2, 2) = mcos(alphaR)
R = inv(R)
' transformation
dataP_angle = mtimes(P, dataP)
For i = 1 To 9
dataP_x(1, i) = dataP_angle(1, i).Simple + xP
dataP_y(1, i) = dataP_angle(2, i).Simple + yP
Next
dataR_angle = mtimes(R, dataR)
For i = 1 To 7
dataR_x(1, i) = dataR_angle(1, i).Simple + xR
dataR_y(1, i) = dataR_angle(2, i).Simple + yR
Next
trace_Px(1, 1) = xPold
trace_Px(1, 2) = xP
trace_Py(1, 1) = yPold
trace_Py(1, 2) = yP
trace_Rx(1, 1) = xRold
trace_Rx(1, 2) = xR
trace_Ry(1, 1) = yRold
trace_Ry(1, 2) = yR
mset Plane, "XData", dataP_x, "YData", dataP_y
tmpP = mline("XData", trace_Px, "YData", trace_Py, "Color", "white", "LineWidth", 0.05, "erasemode", "none")
mset Rocket, "XData", dataR_x, "YData", dataR_y
tmpR = mline("XData", trace_Rx, "YData", trace_Ry, "Color", "red", "LineWidth", 0.05, "erasemode", "none")
vbrefresh
xPold = xP
yPold = yP
xRold = xR
yRold = yR
If (xP < axParameters(1, 1).Simple) Or (xP > axParameters(1, 2).Simple) Or (yP < axParameters(1, 3).Simple) Or (yP > axParameters(1, 4).Simple) Then
axis ("auto")
tmp1 = mget(gca, "XLim")
tmp2 = mget(gca, "YLim")
axParameters(1, 1) = tmp1(1, 1)
axParameters(1, 2) = tmp1(1, 2)
axParameters(1, 3) = tmp2(1, 1)
axParameters(1, 4) = tmp2(1, 2)
axis (axParameters)
vbrefresh
End If
Loop
If (t >= maxT) Then
cla (ax)
MsgBox "A rocket didn't hit the target. Try to increase maximal time or rocket speed ", 32, "!! Warning !!"
ElseIf Not ((xP < axParameters(1, 1).Simple) Or (xP > axParameters(1, 2).Simple) Or (yP < axParameters(1, 3).Simple) Or (yP > axParameters(1, 4).Simple)) Then
tmp = plot(xP, yP, "h", "MarkerSize", 10, "Color", "red", "erasemode", "none")
vbrefresh
tmp = plot(xP, yP, "h", "MarkerSize", 15, "Color", "red", "erasemode", "none")
vbrefresh
tmp = plot(xP, yP, "h", "MarkerSize", 20, "Color", "red", "erasemode", "none")
End If
hold ("off")
End Sub
Sub demo2()
Dim Rocket(1 To 4) As Variant
dataR_x = zeros(1, 2)
dataR_y = zeros(1, 2)
dataR = zeros(2, 2)
R = zeros(2, 2)
trace_Rx = zeros(1, 2)
trace_Ry = zeros(1, 2)
vel = 10
vel_1 = select_R1.Value
vel_2 = select_R2.Value
vel_3 = select_R3.Value
vel_4 = select_R4.Value
dist = 150
X = zeros(1, 4)
Y = zeros(1, 4)
xold = zeros(1, 4)
yold = zeros(1, 4)
X(1, 1) = 0
Y(1, 1) = 0
X(1, 2) = dist
Y(1, 2) = 0
X(1, 3) = dist
Y(1, 3) = dist
X(1, 4) = 0
Y(1, 4) = dist
maxT = str2num(text_Mtime).Simple
If IsEmpty(maxT) Then
maxT = 60
text_Mtime.Text = 60
End If
velX = zeros(1, 4)
velX(1, 1) = vel
velX(1, 3) = -vel
velY = zeros(1, 4)
velY(1, 2) = vel
velY(1, 4) = -vel
vel = zeros(1, 4)
vel(1, 1) = vel_1
vel(1, 2) = vel_2
vel(1, 3) = vel_3
vel(1, 4) = vel_4
dd = times(100, ones(1, 1))
t = 0
dt = 0.2
hold ("on")
axParameters = zeros(4)
axParameters(2) = dist
axParameters(4) = dist
axis (axParameters)
dx = zeros(1, 4)
dy = zeros(1, 4)
'Rocket graphical data
dataR(1, 1) = 0
dataR(1, 2) = 3.5
dataR(1, 3) = 0
dataR(1, 4) = 0
For i = 1 To 4
dataR_x(1, 1) = X(i)
dataR_x(1, 2) = plus(X(i), 3.5)
dataR_y(1, 1) = Y(i)
dataR_y(1, 2) = Y(i)
Rocket(i) = mline("XData", dataR_x, "YData", dataR_y, "Color", "red", "LineWidth", 2, "Erasemode", "none")
xold(i) = X(i)
yold(i) = Y(i)
Next
Do While (dd.Simple > 4) And (t < maxT)
'mmax(vel)
X = plus(X, times(velX, dt))
Y = plus(Y, times(velY, dt))
dx(1, 1) = X(1, 1).Simple - X(1, 2).Simple
dy(1, 1) = Y(1, 1).Simple - Y(1, 2).Simple
dx(1, 2) = X(1, 2).Simple - X(1, 3).Simple
dy(1, 2) = Y(1, 2).Simple - Y(1, 3).Simple
dx(1, 3) = X(1, 3).Simple - X(1, 4).Simple
dy(1, 3) = Y(1, 3).Simple - Y(1, 4).Simple
dx(1, 4) = X(1, 4).Simple - X(1, 1).Simple
dy(1, 4) = Y(1, 4).Simple - Y(1, 1).Simple
d = power((plus(times(dx, dx), times(dy, dy))), 0.5)
velX = rdivide(times(uminus(vel), dx), d)
velY = rdivide(times(uminus(vel), dy), d)
dd = mmin(d)
t = t + dt
'visualization
For i = 1 To 4
If dx(1, i).Simple = 0 Then
alphaR = pi / 2 * sign(dy(1, i)).Simple
Else
alphaR = atan(dy(1, i).Simple / dx(1, i).Simple).Simple
If (alphaR < 0) And (dy(1, i).Simple < 0) And (dx(1, i).Simple > 0) Then
alphaR = alphaR + pi
ElseIf (alphaR > 0) And (dy(1, i).Simple > 0) And (dx(1, i).Simple > 0) Then
alphaR = alphaR + pi
End If
End If
R(1, 1) = mcos(alphaR)
R(1, 2) = msin(alphaR)
R(2, 1) = uminus(msin(alphaR))
R(2, 2) = mcos(alphaR)
R = inv(R)
' transformation
dataR_angle = mtimes(R, dataR)
For ii = 1 To 2
dataR_x(1, ii) = dataR_angle(1, ii).Simple + X(1, i).Simple
dataR_y(1, ii) = dataR_angle(2, ii).Simple + Y(1, i).Simple
Next ii
trace_Rx(1, 1) = xold(i)
trace_Rx(1, 2) = X(i)
trace_Ry(1, 1) = yold(i)
trace_Ry(1, 2) = Y(i)
mset Rocket(i), "XData", dataR_x, "YData", dataR_y
tmpR = mline("XData", trace_Rx, "YData", trace_Ry, "Color", "red", "LineWidth", 0.05, "erasemode", "none")
xold(i) = X(i)
yold(i) = Y(i)
Next i
vbrefresh
'pause (0.04)
Loop
maxVi = 1
If (vel_1 > vel_4) And (vel_1 > vel_3) And (vel_1 > vel_2) Then maxVi = 2
If (vel_2 > vel_4) And (vel_2 > vel_3) And (vel_2 > vel_1) Then maxVi = 3
If (vel_3 > vel_4) And (vel_3 > vel_1) And (vel_3 > vel_2) Then maxVi = 4
If (vel_4 > vel_1) And (vel_4 > vel_3) And (vel_4 > vel_2) Then maxVi = 1
If (t >= maxT) Then
cla (ax)
MsgBox "A rocket didn't hit the target. Try to increase maximal time or rocket speed ", 32, "!! Warning !!"
Else
tmp = plot(X(1, maxVi).Simple, Y(1, maxVi).Simple, "h", "MarkerSize", 10, "Color", "red", "erasemode", "none")
vbrefresh
tmp = plot(X(1, maxVi).Simple, Y(1, maxVi).Simple, "h", "MarkerSize", 15, "Color", "red", "erasemode", "none")
vbrefresh
tmp = plot(X(1, maxVi).Simple, Y(1, maxVi).Simple, "h", "MarkerSize", 20, "Color", "red", "erasemode", "none")
End If
hold ("off")
End Sub
Sub demo3()
P = select_p.Value
e = select_e.Value / 100
phi_step = pi / 120
If e = 0 Then
axis ("auto")
axis ("equal")
phi_start = -pi
phi_end = pi
ElseIf e < 1 Then
axis ("auto")
axis ("equal")
phi_start = -pi
phi_end = pi
ElseIf e = 1 Then
axis ("auto")
axis ("equal")
phi_start = -pi / 1.2
phi_end = pi / 1.2
ElseIf e > 1 Then
axis ("auto")
axis ("equal")
phi_start = -pi / 1.5
phi_end = pi / 1.5
End If
phi = linspace(phi_start, phi_end, 1000)
R = rdivide(times(P, ones(1, 1000)), plus(1, times(e, mcos(phi))))
hold ("on")
cr = (Rnd * 7 + 2) / 10
cg = (Rnd * 7 + 2) / 10
cb = (Rnd * 7 + 2) / 10
c = zeros(1, 1)
c(1) = cr
c(2) = cg
c(3) = cb
a = polar(0, 0, ".", "MarkerSize", 30, "color", "blue")
orb = polar(phi, R, "LineWidth", 1.5, "color", c)
hold ("off")
End Sub
Private Sub check_zoom_Click()
If check_zoom.Value = 1 Then
Zoom ("on")
Else
Zoom ("off")
End If
End Sub
Private Sub Clear_Button_Click()
cla (ax)
End Sub
Private Sub Form_Load()
Dim axColor(1, 1 To 3) As Double
pi = 3.14159
selectMode.AddItem ("Rocket & Plane")
selectMode.AddItem ("Four Rockets")
selectMode.AddItem ("Orbits")
selectMode.ListIndex = 0
select_Rvel.Min = 1
select_Rvel.Max = 50
select_Rvel.Value = 25
select_Pvel.Min = 1
select_Pvel.Max = 50
select_Pvel.Value = 15
select_R1.Min = 1
select_R2.Min = 1
select_R3.Min = 1
select_R4.Min = 1
select_R1.Max = 20
select_R2.Max = 20
select_R3.Max = 20
select_R4.Max = 20
select_R1.Value = 10
select_R2.Value = 10
select_R3.Value = 10
select_R4.Value = 10
text_R1.Caption = 10
text_R2.Caption = 10
text_R3.Caption = 10
text_R4.Caption = 10
select_p.Min = 5
select_p.Max = 30
select_p.Value = 10
select_e.Min = 0
select_e.Max = 150
select_e.Value = 100
text_p = 10
text_e = 1
text_Rvel.Caption = 25
text_Pvel.Caption = 15
ax = vbaxes(Window.hWnd)
mset ax, "Box", "off"
axColor(1, 1) = 0
axColor(1, 2) = 0.3
axColor(1, 3) = 0
mset ax, "Color", axColor
main_form.Show
hlpDlg.Show
End Sub
Private Sub INFO_Button_Click()
hlpDlg.Show
End Sub
Private Sub Process_Button_Click()
Process_Button.Enabled = False
Select Case selectMode.ListIndex
Case 0
Call demo1
Case 1
Call demo2
Case 2
Call demo3
End Select
Process_Button.Enabled = True
End Sub
Private Sub Quit_Button_Click()
End
End Sub
Private Sub select_e_Change()
text_e.Caption = select_e.Value / 100
End Sub
Private Sub select_p_Change()
text_p.Caption = select_p.Value
End Sub
Private Sub select_Pvel_Change()
text_Pvel.Caption = select_Pvel.Value
End Sub
Private Sub select_R1_Change()
text_R1.Caption = select_R1.Value
End Sub
Private Sub select_R2_Change()
text_R2.Caption = select_R2.Value
End Sub
Private Sub select_R3_Change()
text_R3.Caption = select_R3.Value
End Sub
Private Sub select_R4_Change()
text_R4.Caption = select_R4.Value
End Sub
Private Sub select_Rvel_Change()
text_Rvel.Caption = select_Rvel.Value
End Sub
Private Sub selectMode_Click()
Select Case selectMode.ListIndex
Case 0
label_Pvel.Visible = True
label_Rvel.Visible = True
select_Pvel.Visible = True
select_Rvel.Visible = True
text_Pvel.Visible = True
text_Rvel.Visible = True
select_Ptr1.Visible = True
select_Ptr2.Visible = True
select_Ptr3.Visible = True
label_Mtime.Visible = True
text_Mtime.Visible = True
Label_R(0).Visible = False
Label_R(1).Visible = False
Label_R(2).Visible = False
Label_R(3).Visible = False
text_R1.Visible = False
text_R2.Visible = False
text_R3.Visible = False
text_R4.Visible = False
select_R1.Visible = False
select_R2.Visible = False
select_R3.Visible = False
select_R4.Visible = False
label_Or(0).Visible = False
label_Or(1).Visible = False
label_Or(2).Visible = False
select_p.Visible = False
select_e.Visible = False
text_p.Visible = False
text_e.Visible = False
Case 1
label_Pvel.Visible = False
label_Rvel.Visible = False
select_Pvel.Visible = False
select_Rvel.Visible = False
text_Pvel.Visible = False
text_Rvel.Visible = False
select_Ptr1.Visible = False
select_Ptr2.Visible = False
select_Ptr3.Visible = False
label_Mtime.Visible = True
text_Mtime.Visible = True
Label_R(0).Visible = True
Label_R(1).Visible = True
Label_R(2).Visible = True
Label_R(3).Visible = True
text_R1.Visible = True
text_R2.Visible = True
text_R3.Visible = True
text_R4.Visible = True
select_R1.Visible = True
select_R2.Visible = True
select_R3.Visible = True
select_R4.Visible = True
label_Or(0).Visible = False
label_Or(1).Visible = False
label_Or(2).Visible = False
select_p.Visible = False
select_e.Visible = False
text_p.Visible = False
text_e.Visible = False
Case 2
label_Pvel.Visible = False
label_Rvel.Visible = False
select_Pvel.Visible = False
select_Rvel.Visible = False
text_Pvel.Visible = False
text_Rvel.Visible = False
select_Ptr1.Visible = False
select_Ptr2.Visible = False
select_Ptr3.Visible = False
label_Mtime.Visible = False
text_Mtime.Visible = False
Label_R(0).Visible = False
Label_R(1).Visible = False
Label_R(2).Visible = False
Label_R(3).Visible = False
text_R1.Visible = False
text_R2.Visible = False
text_R3.Visible = False
text_R4.Visible = False
select_R1.Visible = False
select_R2.Visible = False
select_R3.Visible = False
select_R4.Visible = False
label_Or(0).Visible = True
label_Or(1).Visible = True
label_Or(2).Visible = True
select_p.Visible = True
select_e.Visible = True
text_p.Visible = True
text_e.Visible = True
End Select
hlpDlg.Show
End Sub
Private Sub selectMode_GotFocus()
cla (ax)
End Sub
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