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- VERSION 4.00
- Begin VB.Form SurfaceForm
- Appearance = 0 'Flat
- BackColor = &H00C0C0C0&
- Caption = "Surfaces"
- ClientHeight = 5700
- ClientLeft = 300
- ClientTop = 855
- ClientWidth = 9090
- BeginProperty Font
- name = "MS Sans Serif"
- charset = 1
- weight = 700
- size = 8.25
- underline = 0 'False
- italic = 0 'False
- strikethrough = 0 'False
- EndProperty
- ForeColor = &H80000008&
- Height = 6390
- KeyPreview = -1 'True
- Left = 240
- LinkTopic = "Form1"
- ScaleHeight = 5700
- ScaleWidth = 9090
- Top = 225
- Width = 9210
- Begin VB.CheckBox ShowAxesCheck
- Caption = "Show Axes"
- Height = 255
- Left = 7080
- TabIndex = 16
- Top = 3960
- Width = 2055
- End
- Begin VB.OptionButton Choice
- Caption = "Saddle"
- Height = 255
- Index = 8
- Left = 7080
- TabIndex = 15
- Top = 2880
- Width = 2055
- End
- Begin VB.OptionButton Choice
- Caption = "Cone"
- Height = 255
- Index = 7
- Left = 7080
- TabIndex = 14
- Top = 2520
- Width = 2055
- End
- Begin VB.OptionButton Choice
- Caption = "Holes"
- Height = 255
- Index = 6
- Left = 7080
- TabIndex = 13
- Top = 2160
- Width = 2055
- End
- Begin VB.TextBox PhiText
- Height = 285
- Left = 3600
- TabIndex = 12
- Text = "0.1570"
- Top = 5400
- Width = 855
- End
- Begin VB.TextBox ThetaText
- Height = 285
- Left = 2040
- TabIndex = 10
- Text = "0.6283"
- Top = 5400
- Width = 855
- End
- Begin VB.TextBox RText
- Height = 285
- Left = 480
- TabIndex = 8
- Text = "10"
- Top = 5400
- Width = 855
- End
- Begin VB.OptionButton Choice
- Caption = "Hemisphere"
- Height = 255
- Index = 5
- Left = 7080
- TabIndex = 7
- Top = 1800
- Width = 2055
- End
- Begin VB.OptionButton Choice
- Caption = "Randomized Ridges"
- Height = 255
- Index = 4
- Left = 7080
- TabIndex = 6
- Top = 1440
- Width = 2055
- End
- Begin VB.OptionButton Choice
- Caption = "Ridges"
- Height = 255
- Index = 3
- Left = 7080
- TabIndex = 5
- Top = 1080
- Width = 2055
- End
- Begin VB.OptionButton Choice
- Caption = "Bowl"
- Height = 255
- Index = 2
- Left = 7080
- TabIndex = 4
- Top = 720
- Width = 2055
- End
- Begin VB.OptionButton Choice
- Caption = "Mounds"
- Height = 255
- Index = 1
- Left = 7080
- TabIndex = 3
- Top = 360
- Width = 2055
- End
- Begin VB.OptionButton Choice
- Caption = "Splash"
- Height = 255
- Index = 0
- Left = 7080
- TabIndex = 2
- Top = 0
- Value = -1 'True
- Width = 2055
- End
- Begin VB.PictureBox Pict
- AutoRedraw = -1 'True
- Height = 5295
- Left = 0
- ScaleHeight = 349
- ScaleMode = 3 'Pixel
- ScaleWidth = 461
- TabIndex = 0
- Top = 0
- Width = 6975
- End
- Begin MSComDlg.CommonDialog LoadDialog
- Left = 7080
- Top = 4560
- _version = 65536
- _extentx = 847
- _extenty = 847
- _stockprops = 0
- cancelerror = -1 'True
- End
- Begin VB.Label Label1
- Caption = "Phi"
- Height = 255
- Index = 2
- Left = 3240
- TabIndex = 11
- Top = 5400
- Width = 375
- End
- Begin VB.Label Label1
- Caption = "Theta"
- Height = 255
- Index = 1
- Left = 1440
- TabIndex = 9
- Top = 5400
- Width = 495
- End
- Begin VB.Label Label1
- Caption = "R"
- Height = 255
- Index = 0
- Left = 240
- TabIndex = 1
- Top = 5400
- Width = 255
- End
- Begin VB.Menu mnuFile
- Caption = "&File"
- Begin VB.Menu mnuFileLoad
- Caption = "&Load..."
- Shortcut = ^L
- End
- Begin VB.Menu mnuFileSaveAs
- Caption = "&Save As..."
- Shortcut = ^A
- End
- Begin VB.Menu mnuFileSep
- Caption = "-"
- End
- Begin VB.Menu mnuFileExit
- Caption = "E&xit"
- End
- End
- Attribute VB_Name = "SurfaceForm"
- Attribute VB_Creatable = False
- Attribute VB_Exposed = False
- Option Explicit
- ' Location of viewing eye.
- Dim EyeR As Single
- Dim EyeTheta As Single
- Dim EyePhi As Single
- Const Dtheta = PI / 20
- Const Dphi = PI / 20
- Const Dr = 1
- ' Location of focus point.
- Const FocusX = 0#
- Const FocusY = 0#
- Const FocusZ = 0#
- Dim Projector(1 To 4, 1 To 4) As Single
- Dim ThePicture As ObjPicture
- Dim ShowingParameters As Boolean
- Dim ChoiceNum As Integer
- ' ************************************************
- ' Return the surface's value at this point.
- ' ************************************************
- Function SurfaceValue(x As Single, z As Single) As Single
- Const Xmin = -5
- Const Amp = 0.25
- Const Per = 2 * PI / 4
- Const Amp2 = 1
- Const Per2 = 2 * PI / 16
- Const Amp3 = 2
- Const R2 = 16.81
- Dim D As Single
- Dim x1 As Single
- Dim z1 As Single
- Dim x2 As Single
- Dim z2 As Single
- Dim y As Single
- Select Case ChoiceNum
- Case 0 ' Splash.
- D = Sqr(x * x + z * z)
- y = Amp * Cos(3 * D)
-
- Case 1 ' Mounds.
- y = Amp * (Cos(Per * x) + Cos(Per * z))
-
- Case 2 ' Bowl.
- y = 0.2 * (x * x + z * z) - 5#
-
- Case 3 ' Ridges.
- y = Amp2 * Cos(Per2 * x) + Amp3 * Cos(Per * z) / (Abs(z) / 3 + 1)
- Case 4 ' Random ridges.
- y = Amp2 * Cos(Per2 * x) + Amp3 * Cos(Per * z) / (Abs(z) / 3 + 1) + Amp * Rnd / 2
- Case 5 ' Hemisphere.
- D = x * x + z * z
- If D >= R2 Then
- y = 0
- Else
- y = Sqr(R2 - D)
- End If
-
- Case 6 ' Holes.
- x1 = (x + Xmin / 2)
- z1 = (z + Xmin / 2)
- x2 = (x - Xmin / 2)
- z2 = (z - Xmin / 2)
- y = Amp3 - _
- 1 / (x1 * x1 + z1 * z1 + 0.1) - _
- 1 / (x2 * x2 + z1 * z1 + 0.1) - _
- 1 / (x1 * x1 + z2 * z2 + 0.1) - _
- 1 / (x2 * x2 + z2 * z2 + 0.1)
- Case 7 ' Cone.
- D = 2 * (Amp3 - Sqr(x * x + z * z))
- If D < -Amp3 Then D = -Amp3
- y = D
- Case 8 ' Saddle.
- y = (x * x - z * z) / 10
-
- End Select
- SurfaceValue = y
- End Function
- ' *******************************************************
- ' Rotate the points in the cube and draw the cube.
- ' *******************************************************
- Private Sub DrawData(pic As Object)
- Dim x As Single
- Dim y As Single
- Dim z As Single
- Dim S(1 To 4, 1 To 4) As Single
- Dim t(1 To 4, 1 To 4) As Single
- Dim ST(1 To 4, 1 To 4) As Single
- Dim PST(1 To 4, 1 To 4) As Single
- MousePointer = vbHourglass
- Refresh
- ' Prevent overflow errors when drawing lines
- ' too far out of bounds.
- On Error Resume Next
- ' Scale and translate so it looks OK in pixels.
- m3Scale S, 35, -35, 1
- m3Translate t, 230, 175, 0
- m3MatMultiplyFull ST, S, t
- m3MatMultiplyFull PST, Projector, ST
- ' Transform the points.
- ThePicture.ApplyFull PST
- ' Display the data.
- pic.Cls
- ThePicture.Draw pic, EyeR
- pic.Refresh
- ' Display the viewnig parameters.
- ShowViewingParameters
- MousePointer = vbDefault
- End Sub
- Sub ShowViewingParameters()
- ShowingParameters = True
- RText.Text = Format$(EyeR, "0.0000")
- ThetaText.Text = Format$(EyeTheta, "0.0000")
- PhiText.Text = Format$(EyePhi, "0.0000")
- RText.Refresh
- ThetaText.Refresh
- PhiText.Refresh
- ShowingParameters = False
- End Sub
- Private Sub Choice_Click(Index As Integer)
- ChoiceNum = Index
- CreateData (ShowAxesCheck.value = vbChecked)
- DrawData Pict
- Pict.SetFocus
- End Sub
- Private Sub Form_KeyDown(KeyCode As Integer, Shift As Integer)
- Select Case KeyCode
- Case vbKeyLeft
- EyeTheta = EyeTheta - Dtheta
-
- Case vbKeyRight
- EyeTheta = EyeTheta + Dtheta
-
- Case vbKeyUp
- EyePhi = EyePhi - Dphi
-
- Case vbKeyDown
- EyePhi = EyePhi + Dphi
-
- Case Else
- Exit Sub
- End Select
- m3PProject Projector, m3Perspective, EyeR, EyePhi, EyeTheta, FocusX, FocusY, FocusZ, 0, 1, 0
- DrawData Pict
- End Sub
- Private Sub Form_KeyPress(KeyAscii As Integer)
- Select Case KeyAscii
- Case Asc("+")
- EyeR = EyeR + Dr
-
- Case Asc("-")
- EyeR = EyeR - Dr
-
- Case Else
- Exit Sub
- End Select
- m3PProject Projector, m3Perspective, EyeR, EyePhi, EyeTheta, FocusX, FocusY, FocusZ, 0, 1, 0
- DrawData Pict
- End Sub
- Private Sub Form_Load()
- ' Initialize the eye position.
- EyeR = 10
- EyeTheta = PI * 0.2
- EyePhi = PI * 0.1
- ' Initialize the projection transformation.
- m3PProject Projector, m3Perspective, EyeR, EyePhi, EyeTheta, FocusX, FocusY, FocusZ, 0, 1, 0
- ' Create the data.
- CreateData (ShowAxesCheck.value = vbChecked)
- ' Project and draw the data.
- Me.Show
- DrawData Pict
- End Sub
- ' ************************************************
- ' Create the surface.
- ' ************************************************
- Sub CreateData(show_axes As Boolean)
- Const Xmin = -5 ' The area the grid should cover.
- Const Zmin = -5
- Const Xmax = -Xmin
- Const Zmax = -Zmin
- Const GapX = 0.5 ' Distance between curves parallel
- Const GapZ = 0.5 ' to the X and Z axes.
- Const Dx = 0.1 ' Distance between points along
- Const Dz = 0.1 ' the curves.
- Dim refined As ObjPicture ' The refined grid.
- Dim pline As ObjPolyline ' A polyline in the grid.
- Dim axis As ObjPolyline
- Dim i As Integer
- Dim j As Integer
- Dim x As Single
- Dim y As Single
- Dim z As Single
- Dim x1 As Single
- Dim y1 As Single
- Dim z1 As Single
- MousePointer = vbHourglass
- Refresh
- Set ThePicture = New ObjPicture
- Set refined = New ObjPicture
- ThePicture.objects.Add refined
- If show_axes Then
- Set axis = New ObjPolyline
- ThePicture.objects.Add axis
- axis.AddSegment 0, 0, 0, 5.5, 0, 0
- axis.AddSegment 0, 0, 0, 0, 3, 0
- axis.AddSegment 0, 0, 0, 0, 0, 5.5
- End If
- ' Create polylines parallel to the X axis.
- For z = Zmin To Zmax Step GapZ
- Set pline = New ObjPolyline
- refined.objects.Add pline
-
- x1 = Xmin
- y1 = SurfaceValue(Xmin, z)
- z1 = z
-
- For x = Xmin + Dx To Xmax Step Dx
- y = SurfaceValue(x, z)
- pline.AddSegment x1, y1, z1, x, y, z
- x1 = x
- y1 = y
- z1 = z
- Next x
- Next z
- ' Create polylines parallel to the Z axis.
- For x = Xmin To Xmax Step GapX
- Set pline = New ObjPolyline
- refined.objects.Add pline
-
- x1 = x
- y1 = SurfaceValue(x, Zmin)
- z1 = Zmin
-
- For z = Zmin + Dz To Zmax Step Dz
- y = SurfaceValue(x, z)
- pline.AddSegment x1, y1, z1, x, y, z
- x1 = x
- y1 = y
- z1 = z
- Next z
- Next x
- End Sub
- Private Sub mnuFileExit_Click()
- Unload Me
- End Sub
- Private Sub mnuFileLoad_Click()
- Dim fname As String
- Dim filenum As Integer
- Dim txt As String
- Dim Xmin As Single
- Dim Ymin As Single
- Dim Xmax As Single
- Dim Ymax As Single
- ' Allow the user to pick a file.
- On Error Resume Next
- LoadDialog.filename = "*.APF"
- LoadDialog.ShowOpen
- If Err.Number = cdlCancel Then
- Unload LoadDialog
- Exit Sub
- ElseIf Err.Number <> 0 Then
- Unload LoadDialog
- Beep
- MsgBox "Error selecting file.", , vbExclamation
- Exit Sub
- End If
- On Error GoTo 0
- MousePointer = vbHourglass
- DoEvents
- fname = LoadDialog.filename
- LoadDialog.InitDir = Left$(fname, Len(fname) _
- - Len(LoadDialog.FileTitle) - 1)
- ' Clear the picture.
- Set ThePicture = Nothing
- ' Open the file.
- filenum = FreeFile
- Open fname For Input As #filenum
- ' Make sure it's an Object Picture File.
- Input #filenum, txt
- If txt <> "3D APF PICTURE" Then
- Close filenum
- Beep
- MsgBox "Error reading file """ & fname & """.", , vbExclamation
- Exit Sub
- End If
- ' Read the picture.
- Set ThePicture = New ObjPicture
- ThePicture.FileInput filenum
- ' Close the file.
- Close filenum
- ' Refresh the display.
- DrawData Pict
- ' Deselect all the option buttons.
- For ChoiceNum = 0 To 8
- If Choice(ChoiceNum).value Then _
- Choice(ChoiceNum).value = False
- Next ChoiceNum
- MousePointer = vbDefault
- End Sub
- Private Sub mnuFileSaveAs_Click()
- Dim fname As String
- Dim filenum As Integer
- ' Allow the user to pick a file.
- On Error Resume Next
- LoadDialog.filename = "*.APF"
- LoadDialog.Flags = cdlOFNOverwritePrompt + cdlOFNHideReadOnly
- LoadDialog.ShowSave
- If Err.Number = cdlCancel Then
- Unload LoadDialog
- Exit Sub
- ElseIf Err.Number <> 0 Then
- Unload LoadDialog
- Beep
- MsgBox "Error selecting file.", , vbExclamation
- Exit Sub
- End If
- On Error GoTo 0
- fname = LoadDialog.filename
- LoadDialog.InitDir = Left$(fname, Len(fname) _
- - Len(LoadDialog.FileTitle) - 1)
- ' Open the file.
- filenum = FreeFile
- Open fname For Output As #filenum
- ' Write the picture.
- ThePicture.FileWrite filenum
- ' Close the file.
- Close filenum
- End Sub
- Private Sub PhiText_Change()
- If ShowingParameters Then Exit Sub
- EyePhi = CSng(PhiText.Text)
- m3PProject Projector, m3Perspective, EyeR, EyePhi, EyeTheta, FocusX, FocusY, FocusZ, 0, 1, 0
- DrawData Pict
- End Sub
- Private Sub RText_Change()
- If ShowingParameters Then Exit Sub
- EyeR = CSng(RText.Text)
- m3PProject Projector, m3Perspective, EyeR, EyePhi, EyeTheta, FocusX, FocusY, FocusZ, 0, 1, 0
- DrawData Pict
- End Sub
- Private Sub ShowAxesCheck_Click()
- CreateData (ShowAxesCheck.value = vbChecked)
- DrawData Pict
- Pict.SetFocus
- End Sub
- Private Sub ThetaText_Change()
- If ShowingParameters Then Exit Sub
- EyeTheta = CSng(ThetaText.Text)
- m3PProject Projector, m3Perspective, EyeR, EyePhi, EyeTheta, FocusX, FocusY, FocusZ, 0, 1, 0
- DrawData Pict
- End Sub
-