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efficient way to compare 2 images?
#6
(11-18-2022, 08:26 PM)Pete Wrote: If the images are unique enough, Go through maybe two or three hundred random points and if they line up, good enough! What brute force does when it's over 70.

Pete

Ha! I like it. 

Well, what this is for is to figure out how to fill in non-contiguous areas of an irregular polygon. 
For example, a simple square would only need one fill, but a figure-8 would need two, and so on. 

If you run the code below, there is a green UFO where only the middle portion is opaque, because there are 3 separate areas that need to be filled in. 
The other objects in the code have only a single open area, so doing one PAINT fills in the whole thing. But not for the UFO or shapes that have lines dividing the sections. 

How might we automatically analyze the shape and figure out coordinates for the minimum number of fills needed to fill the whole shape in? 

One idea I had was to do a PAINT fill on every point in the shape, and each step, compare to see if anything new was filled in. 
If nothing new was filled in, we can skip that point. 
Then save all the unique fill points to an array, and use that to fill in the shape later.

Code: (Select All)
Dim Shared m_sTitle As String: m_sTitle = "2D Vector Shapes v0.33 by madscijr"
_Title m_sTitle ' display in the Window's title bar

' Simple test of vector graphics,
' borrowed graphics objects and format from Widescreen Asteroids by Terry Ritchie.

' DONE
' * We now can draw opaque shapes (still need to get working for shapes with non-contiguous areas)
' * Display looks prettier!
'   - Shapes not active are drawn in an animated dashes
'   - Text display is color coded to shapes
' * Tried adding twinkling stars (hard to see, need to fix)
' * fix twinkling stars

' TO DO:
' * get fill working for shapes with non-contiguous areas)
'   - define "fill coordinates" property or array
'   - auto find these in shape
'   - eliminate duplicates
'   - store the remaining values store in shape data
'   - use for PAINT when drawing fill color

' BOOLEAN CONSTANTS
Const FALSE = 0
Const TRUE = Not FALSE

' OTHER SETTINGS
Const cFPS = 120
Const cMinStars = 50
Const cMaxStars = 150
Const cSpeed = 2

' HOLDS POSITION AND VELOCITY OF ALL OBJECTS
Type ObjectType
    x As Integer
    y As Integer
    dx As Integer
    dy As Integer
    cx As Integer
    cy As Integer
    IsEnabled As Integer
    z As Integer ' zorder in which object is stacked (in front of or behind other objects)
    FillColor As _Unsigned Long ' color to fill in object with (use cEmpty for transparent)
End Type ' ObjectType

' HOLDS DEFINITION OF ALL OBJECTS
Type CoordType
    x1 As Integer
    y1 As Integer
    x2 As Integer
    y2 As Integer
    color As _Unsigned Long
    IsLast As Integer
End Type ' CoordType

' HOLDS LOCATION + COLOR OF EACH STAR
Type StarType
    x As Integer
    y As Integer
   
    ColorIndex As _Unsigned Long ' the star's current color
    TwinkleCounter As Integer ' counter for twinkles
    MaxTwinkCount As Integer ' controls how fast the star twinkles
   
    width As Integer
    MinWidth As Integer ' smallest width
    MaxWidth As Integer ' largest width
    WidthCounter As Integer ' counter for width
    MaxWidthCount As Integer ' controls how fast the star size fluctuates
    BigCounter As Integer ' counter for max width
    MaxBigCount As Integer ' controls how long the star stays big
End Type ' StarType

' OBJECT VARIABLES
ReDim Shared m_arrObject(1 To 6) As ObjectType
ReDim Shared m_arrOrder(1 To 6) As Integer
ReDim Shared m_arrLines(1 To 8, 1 To 32) As CoordType
ReDim Shared m_arrColor(1 To 6) As _Unsigned Long
ReDim Shared m_arrLineStyle(1 To 8) As Long
ReDim Shared m_arrStars(1 To cMaxStars) As StarType
ReDim Shared m_arrGrayColor(-1) As _Unsigned Long

' =============================================================================
' START THE MAIN ROUTINE
DrawVectorObjectTest1

' =============================================================================
' FINISH
Screen 0
System ' return control to the operating system

' /////////////////////////////////////////////////////////////////////////////

Sub DrawVectorObjectTest1
    ' LOCAL VARIABLES
    Dim iFPS As Integer: iFPS = cFPS
    Dim iLoop As Integer
    Dim iObject As Integer
    Dim iLayer As Integer
    Dim iLine As Integer
    Dim iWhich As Integer: iWhich = 1
    Dim bQuit As Integer: bQuit = FALSE
    Dim in$
    Dim sError As String: sError = ""
    Dim iX As Integer
    Dim iY As Integer
    Dim sKey As String
    Dim iMinX As Integer: iMinX = 0
    Dim iMaxX As Integer: iMaxX = 800
    Dim iMinY As Integer: iMinY = 0
    Dim iMaxY As Integer: iMaxY = 640
    Dim iStyleCountMax As Integer: iStyleCountMax = iFPS \ 12 ' change 4x a second
    Dim iStyleCountNext As Integer: iStyleCountNext = 0
    Dim iLineStyleIndex As Integer
    Dim lngLineStyle ' line style
    Dim lngDashedLineStyle ' line style for other objects
    Dim lngSolidLineStyle ' selected object's line style
    Dim iNumStars As Integer
    Dim iValue As Integer
    Dim iMinValue As Integer
    Dim iMaxValue As Integer
    Dim iStarLoop As Integer
    Dim x1%
    Dim x2%
    Dim y1%
    Dim y2%
    Dim imgStars& ' used for drawing background
    Dim imgText& ' used for drawing text
    Dim imgObjects& ' used for drawing objects
    Dim imgTemp& ' temporary drawing area
   
    ' =============================================================================
    ' INITIALIZE
    InitializeRandom
    Screen _NewImage(iMaxX, iMaxY, 32) ' 100 text columns x 40 text rows
   
    ' USE LATER FOR DRAWING LAYERS:
    imgStars& = _NewImage(iMaxX, iMaxY, 32) ' background stars
    imgText& = _NewImage(iMaxX, iMaxY, 32) ' text
    imgObjects& = _NewImage(iMaxX, iMaxY, 32) ' frontground objects
    imgTemp& = _NewImage(iMaxX, iMaxY, 32) ' temporary
   
    ' =============================================================================
    ' START NEW GAME
    Do
        _KeyClear

        ' CONFIGURE PRINTING FOR _PrintString
        _PrintMode _FillBackground
        '_PrintMode _KEEPBACKGROUND

        ' INIT OBJECT DEFINITIONS
        InitVectorObjects
       
        ' INIT VARS
        sKey = ""
       
        ' PLACE OBJECTS
        iX = 0: iY = 0
        iValue = UBound(m_arrObject)
        For iObject = LBound(m_arrObject) To UBound(m_arrObject)
            'm_arrObject(iObject).IsEnabled = FALSE
            m_arrObject(iObject).x = iX
            m_arrObject(iObject).y = iY
            m_arrObject(iObject).dx = RandomNumber%(-5, 5)
            m_arrObject(iObject).dy = RandomNumber%(-5, 5)
            m_arrObject(iObject).cx = 0
            m_arrObject(iObject).cy = 0
            m_arrObject(iObject).z = iValue
            m_arrObject(iObject).FillColor = cBlack
           
            iX = iX + 200
            If iX > 800 Then
                iX = 0
                iY = iY + 200
                If iY > 640 Then
                    iY = 0
                End If
            End If
            iValue = iValue - 1
        Next iObject
       
        ' INIT OBJECT Z-ORDER ARRAY
        ReDim m_arrOrder(lbound(m_arrObject) To ubound(m_arrObject)) As Integer
        For iObject = LBound(m_arrObject) To UBound(m_arrObject)
            m_arrOrder( m_arrObject(iObject).z ) = iObject
        Next iObject
       
        ' SAVE LINE STYLE SEQUENCE
        iLoop = 0
        iLoop = iLoop + 1: m_arrLineStyle(iLoop) = 61680 ' 1111000011110000
        iLoop = iLoop + 1: m_arrLineStyle(iLoop) = 30840 ' 0111100001111000
        iLoop = iLoop + 1: m_arrLineStyle(iLoop) = 15420 ' 0011110000111100
        iLoop = iLoop + 1: m_arrLineStyle(iLoop) = 7710 ' 0001111000011110
        iLoop = iLoop + 1: m_arrLineStyle(iLoop) = 3855 ' 0000111100001111
        iLoop = iLoop + 1: m_arrLineStyle(iLoop) = 34695 ' 1000011110000111
        iLoop = iLoop + 1: m_arrLineStyle(iLoop) = 50115 ' 1100001111000011
        iLoop = iLoop + 1: m_arrLineStyle(iLoop) = 57825 ' 1110000111100001
        iLineStyleIndex = LBound(m_arrLineStyle)
        lngDashedLineStyle = m_arrLineStyle(iLineStyleIndex)
        lngSolidLineStyle = 65535

        ' SAVE COLORS FOR EACH OBJECT (FROM FIRST LINE SEGMENT) TO ARRAY FOR TEXT
        For iObject = LBound(m_arrObject) To UBound(m_arrObject)
            iLine = LBound(m_arrLines, 2)
            m_arrColor(iObject) = m_arrLines(iObject, iLine).color
        Next iObject
       
        ' SAVE COLORS FOR STARS AND GRAYSCALE OBJECTS
        AddGrayscaleColors m_arrGrayColor()
       
        ' -----------------------------------------------------------------------------
        ' PLACE STARS RANDOMLY
        iNumStars = RandomNumber%(cMinStars, cMaxStars)
        ReDim m_arrStars(1 To iNumStars) As StarType
        For iLoop = 1 To iNumStars
            m_arrStars(iLoop).x = RandomNumber%(iMinX, iMaxX)
            m_arrStars(iLoop).y = RandomNumber%(iMinY, iMaxY)
            m_arrStars(iLoop).ColorIndex = RandomNumber%(LBound(m_arrGrayColor), UBound(m_arrGrayColor))
           
            ' Assign a width 1-3 (with different probability for each)
            iValue = RandomNumber%(1, 100)
            If iValue > 98 Then
                m_arrStars(iLoop).MinWidth = RandomNumber%(2, 3)
                m_arrStars(iLoop).MaxWidth = 3
            ElseIf iValue > 85 Then
                m_arrStars(iLoop).MinWidth = RandomNumber%(1, 2)
                m_arrStars(iLoop).MaxWidth = 2
            Else
                m_arrStars(iLoop).MinWidth = RandomNumber%(0, 1)
                m_arrStars(iLoop).MaxWidth = 1
            End If
            ' Set initial width to normal (MaxWidth)
            m_arrStars(iLoop).width = m_arrStars(iLoop).MaxWidth
           
            ' Determine how quickly size changes
            ' Anywhere between 1/30 second and 1 seconds
            iMinValue = iFPS \ 30
            iMaxValue = iFPS
            m_arrStars(iLoop).MaxWidthCount = RandomNumber%(iMinValue, iMaxValue)
            m_arrStars(iLoop).WidthCounter = 0
           
            ' Determine how long size is changed
            ' Anywhere between 1/100 second and 1/50 seconds
            iMinValue = iFPS \ 100
            iMaxValue = iFPS \ 50
            m_arrStars(iLoop).MaxBigCount = RandomNumber%(iMinValue, iMaxValue)
            m_arrStars(iLoop).BigCounter = 0
           
            ' Determine how quickly they twinkle
            ' Anywhere between 1/120 second and 1/20 seconds
            iMinValue = iFPS \ 120
            iMaxValue = iFPS \ 20
            m_arrStars(iLoop).MaxTwinkCount = RandomNumber%(iMinValue, iMaxValue)
            m_arrStars(iLoop).TwinkleCounter = 0
        Next iLoop
       
        ' ================================================================================================================================================================
        ' BEGIN MAIN LOOP
        While TRUE = TRUE
           
            ' CLEAR OBJECTS LAYER
            _Dest imgObjects&: Cls , cEmpty
           
            ' MOVE AND ADD ENABLED OBJECTS (IN STACKING ORDER)
            For iLayer = UBound(m_arrOrder) To LBound(m_arrOrder) Step -1
                ' Get next object
                iObject = m_arrOrder(iLayer)
               
                ' Only enabled objects
                If m_arrObject(iObject).IsEnabled = TRUE Then
                   
                    ' Move along X axis
                    m_arrObject(iObject).cx = m_arrObject(iObject).cx + 1
                    If m_arrObject(iObject).cx > (10 - Abs(m_arrObject(iObject).dx)) Then
                        m_arrObject(iObject).cx = 0
                        If m_arrObject(iObject).dx < 0 Then
                            m_arrObject(iObject).x = m_arrObject(iObject).x - cSpeed
                            If m_arrObject(iObject).x < iMinX Then
                                m_arrObject(iObject).x = iMaxX
                            End If
                        ElseIf m_arrObject(iObject).dx > 0 Then
                            m_arrObject(iObject).x = m_arrObject(iObject).x + cSpeed
                            If m_arrObject(iObject).x > iMaxX Then
                                m_arrObject(iObject).x = iMinX
                            End If
                        End If
                    End If
                   
                    ' Move along Y axis
                    m_arrObject(iObject).cy = m_arrObject(iObject).cy + 1
                    If m_arrObject(iObject).cy > (10 - Abs(m_arrObject(iObject).dy)) Then
                        m_arrObject(iObject).cy = 0
                        If m_arrObject(iObject).dy < 0 Then
                            m_arrObject(iObject).y = m_arrObject(iObject).y - cSpeed
                            If m_arrObject(iObject).y < iMinY Then
                                m_arrObject(iObject).y = iMaxY
                            End If
                        ElseIf m_arrObject(iObject).dy > 0 Then
                            m_arrObject(iObject).y = m_arrObject(iObject).y + cSpeed
                            If m_arrObject(iObject).y > iMaxY Then
                                m_arrObject(iObject).y = iMinY
                            End If
                        End If
                    End If
                   
                    ' Clear temporary (layer and draw on it
                    _Dest imgTemp&: Cls , cEmpty
                   
                    ' Draw object's line segments
                    For iLine = LBound(m_arrLines, 2) To UBound(m_arrLines, 2)
                        If m_arrLines(iObject, iLine).IsLast = FALSE Then
                            'Line (x1%, y1%)-(x2%, y2%), arrColor(arrStars(iLoop).ColorIndex), BF, lngLineStyle
                            Line _
                                (m_arrObject(iObject).x + m_arrLines(iObject, iLine).x1, _
                                m_arrObject(iObject).y + m_arrLines(iObject, iLine).y1) _
                                - _
                                (m_arrObject(iObject).x + m_arrLines(iObject, iLine).x2, _
                                m_arrObject(iObject).y + m_arrLines(iObject, iLine).y2) _
                                , _
                                m_arrLines(iObject, iLine).color, , lngSolidLineStyle
                        Else
                            Exit For
                        End If
                    Next iLine
                   
                    ' Draw fill color if not transparent
                    if m_arrObject(iObject).FillColor <> cEmpty then
                        ' Fill in current object with its fill color...
                        'PAINT [STEP] (column%, row%), fillColor[, borderColor%]
                        Paint (m_arrObject(iObject).x, m_arrObject(iObject).y), _
                            m_arrObject(iObject).FillColor, m_arrColor(iObject)
                    end if
                   
                    ' Make other objects appear drawn with a dashed line
                    If iObject <> iWhich Then
                        ' Outline with a dashed line
                        For iLine = LBound(m_arrLines, 2) To UBound(m_arrLines, 2)
                            If m_arrLines(iObject, iLine).IsLast = FALSE Then
                                'Line (x1%, y1%)-(x2%, y2%), arrColor(arrStars(iLoop).ColorIndex), BF, lngLineStyle
                                Line _
                                    (m_arrObject(iObject).x + m_arrLines(iObject, iLine).x1, _
                                    m_arrObject(iObject).y + m_arrLines(iObject, iLine).y1) _
                                    - _
                                    (m_arrObject(iObject).x + m_arrLines(iObject, iLine).x2, _
                                    m_arrObject(iObject).y + m_arrLines(iObject, iLine).y2) _
                                    , _
                                    cBlack, , lngDashedLineStyle
                            Else
                                Exit For
                            End If
                        Next iLine
                    End If
                   
                    ' Add new object to objects layer
                    '_PUTIMAGE , sourceHandle&, destHandle& 'size full source to fit full destination area
                    _PutImage , imgTemp&, imgObjects&
                   
                End If
            Next iLayer
           
            ' ----------------------------------------------------------------------------------------------------------------------------------------------------------------
            ' BEGIN STARS
           
            ' Twinkle twinkle little stars
            _Dest imgStars&: Cls , cEmpty
            For iStarLoop = LBound(m_arrStars) To UBound(m_arrStars)
                ' increment twinkle counter
                m_arrStars(iStarLoop).TwinkleCounter = m_arrStars(iStarLoop).TwinkleCounter + 1
               
                ' is it time to twinkle the color?
                If m_arrStars(iStarLoop).TwinkleCounter > m_arrStars(iStarLoop).MaxTwinkCount Then
                    m_arrStars(iStarLoop).TwinkleCounter = 0 ' reset counter
                    m_arrStars(iStarLoop).ColorIndex = m_arrStars(iStarLoop).ColorIndex + 1 ' increment color
                    If m_arrStars(iStarLoop).ColorIndex > UBound(m_arrGrayColor) Then
                        m_arrStars(iStarLoop).ColorIndex = LBound(m_arrGrayColor) ' reset color
                    End If
                End If
               
                ' increment width counter
                if m_arrStars(iStarLoop).BigCounter = 0 then
                    m_arrStars(iStarLoop).WidthCounter = m_arrStars(iStarLoop).WidthCounter + 1
                   
                    ' is it time to fluctuate the width
                    If m_arrStars(iStarLoop).WidthCounter > m_arrStars(iStarLoop).MaxWidthCount Then
                        m_arrStars(iStarLoop).WidthCounter = 0 ' reset counter
                        m_arrStars(iStarLoop).BigCounter = 1 ' start big counter
                        m_arrStars(iStarLoop).width = m_arrStars(iStarLoop).MinWidth ' twinkle width
                    Else
                        m_arrStars(iStarLoop).width = m_arrStars(iStarLoop).MaxWidth ' normal width
                    End If
                else
                    ' increment big counter
                    m_arrStars(iStarLoop).BigCounter = m_arrStars(iStarLoop).BigCounter + 1
                   
                    ' is it time to return to normal size?
                    If m_arrStars(iStarLoop).BigCounter > m_arrStars(iStarLoop).MaxBigCount Then
                        m_arrStars(iStarLoop).BigCounter = 0 ' reset counter
                        m_arrStars(iStarLoop).width = m_arrStars(iStarLoop).MaxWidth ' normal width
                    End If
                end if
               
                ' get size
                x1% = m_arrStars(iStarLoop).x: x2% = x1% + m_arrStars(iStarLoop).width
                y1% = m_arrStars(iStarLoop).y: y2% = y1% + m_arrStars(iStarLoop).width
               
                ' (re)draw it
                Line (x1%, y1%)-(x2%, y2%), m_arrGrayColor(m_arrStars(iStarLoop).ColorIndex), BF
            Next iStarLoop
            ' END STARS
            ' ----------------------------------------------------------------------------------------------------------------------------------------------------------------
           
            ' ----------------------------------------------------------------------------------------------------------------------------------------------------------------
            ' SHOW TEXT
            _Dest imgText&: Cls , cEmpty
            DrawText sKey, iWhich
            ' ----------------------------------------------------------------------------------------------------------------------------------------------------------------
           
            ' ----------------------------------------------------------------------------------------------------------------------------------------------------------------
            ' BEGIN UPDATE SCREEN
           
            ' COPY LAYERS TO SCREEN
            _Dest 0: Cls , cBlack
            If imgStars& < -1 Then
                _PutImage , imgStars&, 0
            End If
            If imgText& < -1 Then
                _PutImage , imgText&, 0
            End If
            If imgObjects& < -1 Then
                _PutImage , imgObjects&, 0
            End If
           
            ' UPDATE THE SCREEN
            _Display
           
            ' END UPDATE SCREEN
            ' ----------------------------------------------------------------------------------------------------------------------------------------------------------------
           
            ' PROCESS INPUT
            While _DeviceInput(1): Wend ' clear and update the keyboard buffer
            sKey = ""

            ' QUIT?
            If _Button(KeyCode_Escape%) Then
                bQuit = TRUE
                Exit While
            End If

            ' OTHER INPUT 1-6 SELECTS WHICH OBJECT TO CHANGE
            If _Button(KeyCode_1%) Then
                sKey = sKey + "1,"
                iWhich = 1
            ElseIf _Button(KeyCode_2%) Then
                sKey = sKey + "2,"
                iWhich = 2
            ElseIf _Button(KeyCode_3%) Then
                sKey = sKey + "3,"
                iWhich = 3
            ElseIf _Button(KeyCode_4%) Then
                sKey = sKey + "4,"
                iWhich = 4
            ElseIf _Button(KeyCode_5%) Then
                sKey = sKey + "5,"
                iWhich = 5
            ElseIf _Button(KeyCode_6%) Then
                sKey = sKey + "6,"
                iWhich = 6
            End If

            ' GET DIRECTION
            If _Button(KeyCode_Left%) Then
                sKey = sKey + "LEFT,"
                m_arrObject(iWhich).dx = m_arrObject(iWhich).dx - 1
                If m_arrObject(iWhich).dx < -10 Then m_arrObject(iWhich).dx = -10
            ElseIf _Button(KeyCode_Right%) Then
                sKey = sKey + "RIGHT,"
                m_arrObject(iWhich).dx = m_arrObject(iWhich).dx + 1
                If m_arrObject(iWhich).dx > 10 Then m_arrObject(iWhich).dx = 10
            ElseIf _Button(KeyCode_Up%) Then
                sKey = sKey + "UP,"
                m_arrObject(iWhich).dy = m_arrObject(iWhich).dy - 1
                If m_arrObject(iWhich).dy < -10 Then m_arrObject(iWhich).dy = -10
            ElseIf _Button(KeyCode_Down%) Then
                sKey = sKey + "DOWN,"
                m_arrObject(iWhich).dy = m_arrObject(iWhich).dy + 1
                If m_arrObject(iWhich).dy > 10 Then m_arrObject(iWhich).dy = 10
            End If

            ' CYCLE LINE STYLE FOR ACTIVE OBJECT
            iStyleCountNext = iStyleCountNext + 1 ' increment line style counter
            If iStyleCountNext > iStyleCountMax Then
                iStyleCountNext = 0
                iLineStyleIndex = iLineStyleIndex + 1
                If iLineStyleIndex > UBound(m_arrLineStyle) Then
                    iLineStyleIndex = LBound(m_arrLineStyle)
                End If
                lngDashedLineStyle = m_arrLineStyle(iLineStyleIndex)
            End If

            ' CLEAR KEYBOARD BUFFER
            _KeyClear

            ' CONTROL GAME SPEED
            _Limit iFPS
        Wend
        ' END MAIN LOOP
        ' ================================================================================================================================================================

        ' UPDATE THE SCREEN
        _Display

        ' CLEAR KEYBOARD BUFFER
        _KeyClear: _Delay 2

        ' PLAY ANOTHER ROUND OR QUIT?
        If bQuit = FALSE Then
            If bExit = FALSE Then Sleep
            Color cWhite, cBlack
        Else
            Exit Do
        End If
    Loop
    
    ' CLEAR IMAGES
    screen 0
    IF imgStars& < -1 THEN _FREEIMAGE imgStars&
    IF imgText& < -1 THEN _FREEIMAGE imgText&
    IF imgObjects& < -1 THEN _FREEIMAGE imgObjects&
    IF imgTemp& < -1 THEN _FREEIMAGE imgTemp&
    
    ' RETURN TO AUTODISPLAY
    _AutoDisplay

End Sub ' DrawVectorObjectTest1

' /////////////////////////////////////////////////////////////////////////////

' Receives:
' Long iInput1 = value (0-65535) to conver to binary

' Returns a 16 character string of "1" and "0"
' (a 16-bit binary representation of iInput1)

Function BinaryStringFromLong$ (iInput1 As Long)
    Dim sBinary As String
    Dim iInput As Long
    Dim iLoop As Integer
    Dim iNextValue As Long

    sBinary = ""
    iInput = iInput1
    If iInput >= 0 Then
        For iLoop = 15 To 0 Step -1
            iNextValue = 2 ^ iLoop
            If (iInput \ iNextValue) > 0 Then
                sBinary = sBinary + "1"
            Else
                sBinary = sBinary + "0"
            End If
            iInput = iInput Mod iNextValue
        Next iLoop
    End If

    BinaryStringFromLong$ = sBinary
End Function ' BinaryStringFromLong$

' /////////////////////////////////////////////////////////////////////////////

' Receives:
' String sBitPattern = 16 character string of "1" and "0"
'                      (a 16-bit binary representation)

' Returns the bit pattern converted to a long integer.

Function LongFromBinaryString& (sBitPattern As String)
    Dim sInput As String: sInput = sBitPattern
    Dim iLoop As Integer
    Dim MyLong As Long

    MyLong = 0

    If Len(sInput) >= 16 Then
        For iLoop = 0 To 15
            If Mid$(sInput, 16 - iLoop, 1) = "1" Then
                MyLong = MyLong + (2 ^ iLoop)
            End If
        Next iLoop
    End If

    LongFromBinaryString& = MyLong
End Function ' LongFromBinaryString&

' /////////////////////////////////////////////////////////////////////////////
' VECTOR OBJECT DEFINITIONS

' future versions will pull this data from an editable file

Sub InitVectorObjects
    Dim iLoop As Integer
    Dim iObject As Integer
    Dim iLine As Integer

    Dim x1 As Integer
    Dim y1 As Integer
    Dim x2 As Integer
    Dim y2 As Integer
    Dim r1 As Integer
    Dim g1 As Integer
    Dim b1 As Integer

    iObject = 1
    iLine = 1

    Restore VectorData
    For iLoop = 1 To 1024
        Read x1
        Read y1
        Read x2
        Read y2
        Read r1
        Read g1
        Read b1 ' -255 means no more data, -254 means last set for this object

        If b1 = -255 Then
            m_arrLines(iObject, iLine).IsLast = TRUE
            m_arrObject(iObject).IsEnabled = TRUE
            Exit For
        ElseIf b1 = -254 Then
            m_arrLines(iObject, iLine).IsLast = TRUE
            m_arrObject(iObject).IsEnabled = TRUE
            iObject = iObject + 1
            iLine = 1
            If iObject > UBound(m_arrLines, 1) Then Exit For
        Else
            m_arrLines(iObject, iLine).x1 = x1
            m_arrLines(iObject, iLine).y1 = y1
            m_arrLines(iObject, iLine).x2 = x2
            m_arrLines(iObject, iLine).y2 = y2
            m_arrLines(iObject, iLine).color = _RGB32(r1, g1, b1)
            m_arrLines(iObject, iLine).IsLast = FALSE
            iLine = iLine + 1
            If iLine > UBound(m_arrLines, 2) Then Exit For
        End If
    Next iLoop%

    VectorData:
    'objaster1 = purple
    Data 2,-41,31,-50,128,0,255
    Data 31,-50,56,-23,128,0,255
    Data 56,-23,37,-10,128,0,255
    Data 37,-10,61,13,128,0,255
    Data 61,13,32,62,128,0,255
    Data 32,62,-22,43,128,0,255
    Data -22,43,-40,57,128,0,255
    Data -40,57,-62,34,128,0,255
    Data -62,34,-47,7,128,0,255
    Data -47,7,-62,-26,128,0,255
    Data -62,-26,-32,-63,128,0,255
    Data -32,-63,2,-41,128,0,255
    Data 0,0,0,0,-254,-254,-254

    'objaster2 = red
    Data -28,-62,22,-62,255,0,0
    Data 22,-62,61,-28,255,0,0
    Data 61,-28,61,13,255,0,0
    Data 61,13,23,57,255,0,0
    Data 23,57,-6,62,255,0,0
    Data -6,62,-6,15,255,0,0
    Data -6,15,-36,47,255,0,0
    Data -36,47,-59,14,255,0,0
    Data -59,14,-35,1,255,0,0
    Data -35,1,-62,-9,255,0,0
    Data -62,-9,-28,-62,255,0,0
    Data 0,0,0,0,-254,-254,-254

    'objaster3 = yellow
    Data 9,-62,60,-21,255,255,0
    Data 60,-21,62,-3,255,255,0
    Data 62,-3,24,13,255,255,0
    Data 24,13,53,34,255,255,0
    Data 53,34,38,55,255,255,0
    Data 38,55,20,40,255,255,0
    Data 20,40,-37,61,255,255,0
    Data -37,61,-63,15,255,255,0
    Data -63,15,-57,-24,255,255,0
    Data -57,-24,-24,-24,255,255,0
    Data -24,-24,-38,-45,255,255,0
    Data -38,-45,9,-62,255,255,0
    Data 0,0,0,0,-254,-254,-254

    'objmouse = white
    Data 0,-10,6,3,255,255,255
    Data 6,3,1,2,255,255,255
    Data 1,2,1,10,255,255,255
    Data 1,10,-1,10,255,255,255
    Data -1,10,-1,2,255,255,255
    Data -1,2,-6,3,255,255,255
    Data -6,3,0,-10,255,255,255
    Data 0,0,0,0,-254,-254,-254

    'objship = cyan
    Data 0,-15,10,15,0,255,255
    Data 10,15,6,11,0,255,255
    Data 6,11,-6,11,0,255,255
    Data -6,11,-10,15,0,255,255
    Data -10,15,0,-15,0,255,255
    Data 0,0,0,0,-254,-254,-254
    'Data 0,18,0,18,0,255,255
    'Data 0,0,0,0,-254,-254,-254

    'objufo = green
    Data -4,-16,4,-16,0,255,0
    Data 4,-16,10,-6,0,255,0
    Data 10,-6,25,5,0,255,0
    Data 25,5,10,16,0,255,0
    Data 10,16,-10,16,0,255,0
    Data -10,16,-25,5,0,255,0
    Data -25,5,-10,-6,0,255,0
    Data -10,-6,-4,-16,0,255,0
    Data -10,-6,10,-6,0,255,0
    Data -25,5,25,5,0,255,0
    Data 0,0,0,0,-255,-255,-255

End Sub ' InitVectorObjects

' /////////////////////////////////////////////////////////////////////////////
' SHOW INSTRUMENTS + INSTRUCTIONS
' 800x600 = 40 rows x 100 columns

sub DrawText( _
    sKey as string, _
    iWhich as integer _
    )

    Dim iObject As Integer
    Dim RowNum As Integer
    Dim sFlag As String
    Dim iNum As Integer
   
    RowNum = 0

    Color cWhite, cEmpty
    RowNum = RowNum + 1: PrintAt RowNum, 1, m_sTitle
    RowNum = RowNum + 1
   
    Color cYellow, cEmpty
    RowNum = RowNum + 1: PrintAt RowNum, 1, "----------------------------------------"
    RowNum = RowNum + 1: PrintAt RowNum, 1, "Press 1-6 to select active object."
    RowNum = RowNum + 1: PrintAt RowNum, 1, "Arrow keys move active object."
    RowNum = RowNum + 1: PrintAt RowNum, 1, "Press ESC to quit"
    RowNum = RowNum + 1: PrintAt RowNum, 1, "----------------------------------------"
    RowNum = RowNum + 1

    ' SHOW OBJECTS
    Color cGray, cEmpty
    RowNum = RowNum + 1: PrintAt RowNum, 1, "----------------------------------------"

    iNum = 0
    For iObject = LBound(m_arrObject) To UBound(m_arrObject)
        iNum = iNum + 1
        If m_arrObject(iObject).IsEnabled = TRUE Then
            Color m_arrColor(iObject), cEmpty
            If iObject = iWhich Then
                'Color cCyan, cEmpty
                sFlag = "-> "
            Else
                'Color cDodgerBlue, cEmpty
                sFlag = "   "
            End If
        Else
            Color cGray, cEmpty
            sFlag = "   "
        End If

        RowNum = RowNum + 1: PrintAt RowNum, 1, "" + _
            sFlag + _
            cstr$(iNum) + ". " + _
            "obj #" + cstr$(iObject) + _
            "(" + cstr$(m_arrObject(iObject).x) + "," + cstr$(m_arrObject(iObject).y) + ")" + _
            "(" + cstr$(m_arrObject(iObject).dx) + "," + cstr$(m_arrObject(iObject).dy) + ")" + _
            "(" + cstr$(m_arrObject(iObject).cx) + "," + cstr$(m_arrObject(iObject).cy) + ")" + _
            ""
    Next iObject

    Color cGray, cEmpty
    RowNum = RowNum + 1: PrintAt RowNum, 1, "----------------------------------------"

    RowNum = RowNum + 2

    '' SHOW ACTIVE OBJECT
    'Color cWhite
    'RowNum = RowNum + 1: PrintAt RowNum, 1, "Object #   : " + cstr$(iWhich)

    ' SHOW INPUT
    Color cLime, cEmpty
    RowNum = RowNum + 1: PrintAt RowNum, 1, "Controls   : " + RightPadString$(sKey, 10, " ") + "   "
   
End Sub ' DrawText

' ################################################################################################################################################################
' BEGIN COLOR ARRAY FUNCTIONS #COLR
' ################################################################################################################################################################

' /////////////////////////////////////////////////////////////////////////////

Sub AddColor (ColorValue As _Unsigned Long, arrColor() As _Unsigned Long)
    ReDim _Preserve arrColor(0 To UBound(arrColor) + 1) As _Unsigned Long
    arrColor(UBound(arrColor)) = ColorValue
End Sub ' AddColor

' /////////////////////////////////////////////////////////////////////////////

Sub AddColors (ColorValue As _Unsigned Long, arrColor() As _Unsigned Long, HowMany As Long)
    dim iLoop as integer
    for iLoop = 1 to HowMany
        AddColor ColorValue, arrColor()
    next iLoop
End Sub ' AddColors

' /////////////////////////////////////////////////////////////////////////////

Sub AddGrayscaleColors (arrColor() As _Unsigned Long)
    Dim iNum As Integer
    iNum = 1
    AddColors cDimGray, arrColor(), iNum
    AddColors cGray, arrColor(), iNum
    AddColors cDarkGray, arrColor(), iNum
    AddColors cSilver, arrColor(), iNum
    AddColors cLightGray, arrColor(), iNum
    AddColors cGainsboro, arrColor(), iNum
    AddColors cWhiteSmoke, arrColor(), iNum
    AddColors cWhite, arrColor(), iNum '* 2
    AddColors cWhiteSmoke, arrColor(), iNum
    AddColors cGainsboro, arrColor(), iNum
    AddColors cLightGray, arrColor(), iNum
    AddColors cSilver, arrColor(), iNum
    AddColors cDarkGray, arrColor(), iNum
    AddColors cGray, arrColor(), iNum
End Sub ' AddGrayscaleColors

' ################################################################################################################################################################
' END COLOR ARRAY FUNCTIONS @COLR
' ################################################################################################################################################################

' ################################################################################################################################################################
' BEGIN COLOR FUNCTIONS #COLOR
' ################################################################################################################################################################

Function cRed~& ()
    cRed = _RGB32(255, 0, 0)
End Function

Function cOrangeRed~& ()
    cOrangeRed = _RGB32(255, 69, 0)
End Function ' cOrangeRed~&

Function cDarkOrange~& ()
    cDarkOrange = _RGB32(255, 140, 0)
End Function ' cDarkOrange~&

Function cOrange~& ()
    cOrange = _RGB32(255, 165, 0)
End Function ' cOrange~&

Function cGold~& ()
    cGold = _RGB32(255, 215, 0)
End Function ' cGold~&

Function cYellow~& ()
    cYellow = _RGB32(255, 255, 0)
End Function ' cYellow~&

' LONG-HAIRED FRIENDS OF JESUS OR NOT,
' THIS IS NOT YELLOW ENOUGH (TOO CLOSE TO LIME)
' TO USE FOR OUR COMPLEX RAINBOW SEQUENCE:
Function cChartreuse~& ()
    cChartreuse = _RGB32(127, 255, 0)
End Function ' cChartreuse~&

' WE SUBSTITUTE THIS CSS3 COLOR FOR INBETWEEN LIME AND YELLOW:
Function cOliveDrab1~& ()
    cOliveDrab1 = _RGB32(192, 255, 62)
End Function ' cOliveDrab1~&

Function cLime~& ()
    cLime = _RGB32(0, 255, 0)
End Function ' cLime~&

Function cMediumSpringGreen~& ()
    cMediumSpringGreen = _RGB32(0, 250, 154)
End Function ' cMediumSpringGreen~&

' ADDED THIS FOR THE GAUGE COLOR:
Function cSpringGreen~& ()
    cSpringGreen = _RGB32(0, 255, 160)
End Function ' cSpringGreen~&

Function cCyan~& ()
    cCyan = _RGB32(0, 255, 255)
End Function ' cCyan~&

Function cDeepSkyBlue~& ()
    cDeepSkyBlue = _RGB32(0, 191, 255)
End Function ' cDeepSkyBlue~&

Function cDodgerBlue~& ()
    cDodgerBlue = _RGB32(30, 144, 255)
End Function ' cDodgerBlue~&

Function cSeaBlue~& ()
    cSeaBlue = _RGB32(0, 64, 255)
End Function ' cSeaBlue~&

Function cBlue~& ()
    cBlue = _RGB32(0, 0, 255)
End Function ' cBlue~&

Function cBluePurple~& ()
    cBluePurple = _RGB32(64, 0, 255)
End Function ' cBluePurple~&

Function cDeepPurple~& ()
    cDeepPurple = _RGB32(96, 0, 255)
End Function ' cDeepPurple~&

Function cPurple~& ()
    cPurple = _RGB32(128, 0, 255)
End Function ' cPurple~&

Function cPurpleRed~& ()
    cPurpleRed = _RGB32(128, 0, 192)
End Function ' cPurpleRed~&

Function cDarkRed~& ()
    cDarkRed = _RGB32(160, 0, 64)
End Function ' cDarkRed~&

Function cBrickRed~& ()
    cBrickRed = _RGB32(192, 0, 32)
End Function ' cBrickRed~&

Function cDarkGreen~& ()
    cDarkGreen = _RGB32(0, 100, 0)
End Function ' cDarkGreen~&

Function cGreen~& ()
    cGreen = _RGB32(0, 128, 0)
End Function ' cGreen~&

Function cOliveDrab~& ()
    cOliveDrab = _RGB32(107, 142, 35)
End Function ' cOliveDrab~&

Function cLightPink~& ()
    cLightPink = _RGB32(255, 182, 193)
End Function ' cLightPink~&

Function cHotPink~& ()
    cHotPink = _RGB32(255, 105, 180)
End Function ' cHotPink~&

Function cDeepPink~& ()
    cDeepPink = _RGB32(255, 20, 147)
End Function ' cDeepPink~&

Function cMagenta~& ()
    cMagenta = _RGB32(255, 0, 255)
End Function ' cMagenta~&

Function cBlack~& ()
    cBlack = _RGB32(0, 0, 0)
End Function ' cBlack~&

Function cDimGray~& ()
    cDimGray = _RGB32(105, 105, 105)
End Function ' cDimGray~&

Function cGray~& ()
    cGray = _RGB32(128, 128, 128)
End Function ' cGray~&

Function cDarkGray~& ()
    cDarkGray = _RGB32(169, 169, 169)
End Function ' cDarkGray~&

Function cSilver~& ()
    cSilver = _RGB32(192, 192, 192)
End Function ' cSilver~&

Function cLightGray~& ()
    cLightGray = _RGB32(211, 211, 211)
End Function ' cLightGray~&

Function cGainsboro~& ()
    cGainsboro = _RGB32(220, 220, 220)
End Function ' cGainsboro~&

Function cWhiteSmoke~& ()
    cWhiteSmoke = _RGB32(245, 245, 245)
End Function ' cWhiteSmoke~&

Function cWhite~& ()
    cWhite = _RGB32(255, 255, 255)
End Function ' cWhite~&

Function cDarkBrown~& ()
    cDarkBrown = _RGB32(128, 64, 0)
End Function ' cDarkBrown~&

Function cLightBrown~& ()
    cLightBrown = _RGB32(196, 96, 0)
End Function ' cLightBrown~&

Function cKhaki~& ()
    cKhaki = _RGB32(240, 230, 140)
End Function ' cKhaki~&

Function cEmpty~& ()
    cEmpty = _RGB32(0, 0, 0, 0)
End Function ' cEmpty~&

' ################################################################################################################################################################
' END COLOR FUNCTIONS @COLOR
' ################################################################################################################################################################

' ################################################################################################################################################################
' BEGIN KEYBOARD CODES FUNCTIONS #KEYCODE
'
' ALL CODES ARE FOR _BUTTON, EXCEPT:
' * cF10 (_KEYDOWN)
' * cAltLeft (_KEYHIT)
' * cAltRight (_KEYHIT)
' * cPrintScreen (_KEYHIT) <- may slow down pc?
' * cPauseBreak (_KEYHIT) <- may not work?
' ################################################################################################################################################################

Function KeyCode_Escape% ()
    KeyCode_Escape% = 2
End Function

Function KeyCode_F1% ()
    KeyCode_F1% = 60
End Function

Function KeyCode_F2% ()
    KeyCode_F2% = 61
End Function

Function KeyCode_F3% ()
    KeyCode_F3% = 62
End Function

Function KeyCode_F4% ()
    KeyCode_F4% = 63
End Function

Function KeyCode_F5% ()
    KeyCode_F5% = 64
End Function

Function KeyCode_F6% ()
    KeyCode_F6% = 65
End Function

Function KeyCode_F7% ()
    KeyCode_F7% = 66
End Function

Function KeyCode_F8% ()
    KeyCode_F8% = 67
End Function

Function KeyCode_F9% ()
    KeyCode_F9% = 68
End Function

'_KEYDOWN CODE, NOT _BUTTON CODE
Function KeyCode_F10% ()
    KeyCode_F10% = 17408
End Function

Function KeyCode_F11% ()
    KeyCode_F11% = 88
End Function

Function KeyCode_F12% ()
    KeyCode_F12% = 89
End Function

'_KEYHIT CODE, NOT _BUTTON CODE
Function KeyCode_PrintScreen% ()
    KeyCode_PrintScreen% = -44
End Function

Function KeyCode_ScrollLock% ()
    KeyCode_ScrollLock% = 71
End Function

'_KEYHIT CODE, NOT _BUTTON CODE
Function KeyCode_PauseBreak% ()
    KeyCode_PauseBreak% = 31053
End Function

Function KeyCode_Tilde% ()
    KeyCode_Tilde% = 42
End Function

Function KeyCode_1% ()
    KeyCode_1% = 3
End Function

Function KeyCode_2% ()
    KeyCode_2% = 4
End Function

Function KeyCode_3% ()
    KeyCode_3% = 5
End Function

Function KeyCode_4% ()
    KeyCode_4% = 6
End Function

Function KeyCode_5% ()
    KeyCode_5% = 7
End Function

Function KeyCode_6% ()
    KeyCode_6% = 8
End Function

Function KeyCode_7% ()
    KeyCode_7% = 9
End Function

Function KeyCode_8% ()
    KeyCode_8% = 10
End Function

Function KeyCode_9% ()
    KeyCode_9% = 11
End Function

Function KeyCode_0% ()
    KeyCode_0% = 12
End Function

Function KeyCode_Minus% ()
    KeyCode_Minus% = 13
End Function

Function KeyCode_Equal% ()
    KeyCode_Equal% = 14
End Function

Function KeyCode_BkSp% ()
    KeyCode_BkSp% = 15
End Function

Function KeyCode_Ins% ()
    KeyCode_Ins% = 339
End Function

Function KeyCode_Home% ()
    KeyCode_Home% = 328
End Function

Function KeyCode_PgUp% ()
    KeyCode_PgUp% = 330
End Function

Function KeyCode_Del% ()
    KeyCode_Del% = 340
End Function

Function KeyCode_End% ()
    KeyCode_End% = 336
End Function

Function KeyCode_PgDn% ()
    KeyCode_PgDn% = 338
End Function

Function KeyCode_NumLock% ()
    KeyCode_NumLock% = 326
End Function

Function KeyCode_KeypadSlash% ()
    KeyCode_KeypadSlash% = 310
End Function

Function KeyCode_KeypadMultiply% ()
    KeyCode_KeypadMultiply% = 56
End Function

Function KeyCode_KeypadMinus% ()
    KeyCode_KeypadMinus% = 75
End Function

Function KeyCode_Keypad7Home% ()
    KeyCode_Keypad7Home% = 72
End Function

Function KeyCode_Keypad8Up% ()
    KeyCode_Keypad8Up% = 73
End Function

Function KeyCode_Keypad9PgUp% ()
    KeyCode_Keypad9PgUp% = 74
End Function

Function KeyCode_KeypadPlus% ()
    KeyCode_KeypadPlus% = 79
End Function

Function KeyCode_Keypad4Left% ()
    KeyCode_Keypad4Left% = 76
End Function

Function KeyCode_Keypad5% ()
    KeyCode_Keypad5% = 77
End Function

Function KeyCode_Keypad6Right% ()
    KeyCode_Keypad6Right% = 78
End Function

Function KeyCode_Keypad1End% ()
    KeyCode_Keypad1End% = 80
End Function

Function KeyCode_Keypad2Down% ()
    KeyCode_Keypad2Down% = 81
End Function

Function KeyCode_Keypad3PgDn% ()
    KeyCode_Keypad3PgDn% = 82
End Function

Function KeyCode_KeypadEnter% ()
    KeyCode_KeypadEnter% = 285
End Function

Function KeyCode_Keypad0Ins% ()
    KeyCode_Keypad0Ins% = 83
End Function

Function KeyCode_KeypadPeriodDel% ()
    KeyCode_KeypadPeriodDel% = 84
End Function

Function KeyCode_Tab% ()
    KeyCode_Tab% = 16
End Function

Function KeyCode_Q% ()
    KeyCode_Q% = 17
End Function

Function KeyCode_W% ()
    KeyCode_W% = 18
End Function

Function KeyCode_E% ()
    KeyCode_E% = 19
End Function

Function KeyCode_R% ()
    KeyCode_R% = 20
End Function

Function KeyCode_T% ()
    KeyCode_T% = 21
End Function

Function KeyCode_Y% ()
    KeyCode_Y% = 22
End Function

Function KeyCode_U% ()
    KeyCode_U% = 23
End Function

Function KeyCode_I% ()
    KeyCode_I% = 24
End Function

Function KeyCode_O% ()
    KeyCode_O% = 25
End Function

Function KeyCode_P% ()
    KeyCode_P% = 26
End Function

Function KeyCode_BracketLeft% ()
    KeyCode_BracketLeft% = 27
End Function

Function KeyCode_BracketRight% ()
    KeyCode_BracketRight% = 28
End Function

Function KeyCode_Backslash% ()
    KeyCode_Backslash% = 44
End Function

Function KeyCode_CapsLock% ()
    KeyCode_CapsLock% = 59
End Function

Function KeyCode_A% ()
    KeyCode_A% = 31
End Function

Function KeyCode_S% ()
    KeyCode_S% = 32
End Function

Function KeyCode_D% ()
    KeyCode_D% = 33
End Function

Function KeyCode_F% ()
    KeyCode_F% = 34
End Function

Function KeyCode_G% ()
    KeyCode_G% = 35
End Function

Function KeyCode_H% ()
    KeyCode_H% = 36
End Function

Function KeyCode_J% ()
    KeyCode_J% = 37
End Function

Function KeyCode_K% ()
    KeyCode_K% = 38
End Function

Function KeyCode_L% ()
    KeyCode_L% = 39
End Function

Function KeyCode_Semicolon% ()
    KeyCode_Semicolon% = 40
End Function

Function KeyCode_Apostrophe% ()
    KeyCode_Apostrophe% = 41
End Function

Function KeyCode_Enter% ()
    KeyCode_Enter% = 29
End Function

Function KeyCode_ShiftLeft% ()
    KeyCode_ShiftLeft% = 43
End Function

Function KeyCode_Z% ()
    KeyCode_Z% = 45
End Function

Function KeyCode_X% ()
    KeyCode_X% = 46
End Function

Function KeyCode_C% ()
    KeyCode_C% = 47
End Function

Function KeyCode_V% ()
    KeyCode_V% = 48
End Function

Function KeyCode_B% ()
    KeyCode_B% = 49
End Function

Function KeyCode_N% ()
    KeyCode_N% = 50
End Function

Function KeyCode_M% ()
    KeyCode_M% = 51
End Function

Function KeyCode_Comma% ()
    KeyCode_Comma% = 52
End Function

Function KeyCode_Period% ()
    KeyCode_Period% = 53
End Function

Function KeyCode_Slash% ()
    KeyCode_Slash% = 54
End Function

Function KeyCode_ShiftRight% ()
    KeyCode_ShiftRight% = 55
End Function

Function KeyCode_Up% ()
    KeyCode_Up% = 329
End Function

Function KeyCode_Left% ()
    KeyCode_Left% = 332
End Function

Function KeyCode_Down% ()
    KeyCode_Down% = 337
End Function

Function KeyCode_Right% ()
    KeyCode_Right% = 334
End Function

Function KeyCode_CtrlLeft% ()
    KeyCode_CtrlLeft% = 30
End Function

Function KeyCode_WinLeft% ()
    KeyCode_WinLeft% = 348
End Function

' _KEYHIT CODE NOT _BUTTON CODE
Function KeyCode_AltLeft% ()
    KeyCode_AltLeft% = -30764
End Function

Function KeyCode_Spacebar% ()
    KeyCode_Spacebar% = 58
End Function

' _KEYHIT CODE NOT _BUTTON CODE
Function KeyCode_AltRight% ()
    KeyCode_AltRight% = -30765
End Function

Function KeyCode_WinRight% ()
    KeyCode_WinRight% = 349
End Function

Function KeyCode_Menu% ()
    KeyCode_Menu% = 350
End Function

Function KeyCode_CtrlRight% ()
    KeyCode_CtrlRight% = 286
End Function

' ################################################################################################################################################################
' END KEYBOARD CODES FUNCTIONS @KEYCODE
' ################################################################################################################################################################

' ################################################################################################################################################################
' BEGIN GENERAL PURPOSE ROUTINES #GEN
' ################################################################################################################################################################

' /////////////////////////////////////////////////////////////////////////////

Function AppendString$ (MyString As String, NewString As String, MyDelimiter As String)
    Dim sResult As String: sResult = MyString
    If Len(MyString) > 0 Then
        sResult = sResult + MyDelimiter
    End If
    sResult = sResult + NewString
    AppendString$ = sResult
End Function ' AppendString$

' /////////////////////////////////////////////////////////////////////////////

Sub AppendToStringArray (MyStringArray$(), MyString$)
    ReDim _Preserve MyStringArray$(LBound(MyStringArray$) To UBound(MyStringArray$) + 1)
    MyStringArray$(UBound(MyStringArray$)) = MyString$
End Sub ' AppendToStringArray

' /////////////////////////////////////////////////////////////////////////////
' See also StringTo2dArray

Function Array2dToString$ (MyArray() As String)
    Dim MyString As String
    Dim iY As Integer
    Dim iX As Integer
    Dim sLine As String
    MyString = ""
    For iY = LBound(MyArray, 1) To UBound(MyArray, 1)
        sLine = ""
        For iX = LBound(MyArray, 2) To UBound(MyArray, 2)
            sLine = sLine + MyArray(iY, iX)
        Next iX
        MyString = MyString + sLine + Chr$(13)
    Next iY
    Array2dToString$ = MyString
End Function ' Array2dToString$

' /////////////////////////////////////////////////////////////////////////////

$If  Then
    Function Array2dToStringTest$ (MyArray() As String)
    Dim MyString As String
    Dim iY As Integer
    Dim iX As Integer
    Dim sLine As String
    MyString = ""
    MyString = MyString + "           11111111112222222222333" + Chr$(13)
    MyString = MyString + "  12345678901234567890123456789012" + Chr$(13)
    For iY = LBound(MyArray, 1) To UBound(MyArray, 1)
    sLine = ""
    sLine = sLine + Right$("  " + cstr$(iY), 2)
    For iX = LBound(MyArray, 2) To UBound(MyArray, 2)
    sLine = sLine + MyArray(iY, iX)
    Next iX
    sLine = sLine + Right$("  " + cstr$(iY), 2)
    MyString = MyString + sLine + Chr$(13)
    Next iY
    MyString = MyString + "  12345678901234567890123456789012" + Chr$(13)
    MyString = MyString + "           11111111112222222222333" + Chr$(13)
    Array2dToStringTest$ = MyString
    End Function ' Array2dToStringTest$
$End If

' /////////////////////////////////////////////////////////////////////////////
' use angles in degrees units instead of radians (converted inside sub)
' Note this function uses whatever the default type is, better not be some Integer Type.

Function CosD (degrees)
    CosD = Cos(_D2R(degrees))
End Function ' CosD

' /////////////////////////////////////////////////////////////////////////////
' Integer to string

Function cstr$ (myValue)
    'cstr$ = LTRIM$(RTRIM$(STR$(myValue)))
    cstr$ = _Trim$(Str$(myValue))
End Function ' cstr$

' /////////////////////////////////////////////////////////////////////////////
' Long to string

Function cstrl$ (myValue As Long)
    cstrl$ = _Trim$(Str$(myValue))
End Function ' cstrl$

' /////////////////////////////////////////////////////////////////////////////
' Single to string

Function cstrs$ (myValue As Single)
    ''cstr$ = LTRIM$(RTRIM$(STR$(myValue)))
    cstrs$ = _Trim$(Str$(myValue))
End Function ' cstrs$

' /////////////////////////////////////////////////////////////////////////////
' Unsigned Long to string

Function cstrul$ (myValue As _Unsigned Long)
    cstrul$ = _Trim$(Str$(myValue))
End Function ' cstrul$

' /////////////////////////////////////////////////////////////////////////////
' Simple timestamp function

Function CurrentDateTime$
    CurrentDateTime$ = Mid$(Date$, 7, 4) + "-" + _
        Mid$(Date$, 1, 5) + " " + _
        Time$
End Function ' CurrentDateTime$

' /////////////////////////////////////////////////////////////////////////////
' use angles in degrees units instead of radians (converted inside sub)
' Note this function uses whatever the default type is, better not be some Integer Type.

Function DAtan2 (x1, y1, x2, y2) ' The angle in degrees a 2nd point (x2, y2)  makes to a first point (x1, y1)
    ' Delta means change between 1 measure and another for example x2 - x1
    deltaX = x2 - x1
    deltaY = y2 - y1

    ' To find the angle point(x2, y2) makes to (x1, y1) in Degrees
    ' Take DegreeAngle = DAtan2(y2 - y1, x2 - x1)
    rtn = _R2D(_Atan2(deltaY, deltaX))
    If rtn < 0 Then
        DAtan2 = rtn + 360
    Else
        DAtan2 = rtn
    End If
End Function ' DAtan2

' /////////////////////////////////////////////////////////////////////////////
' Hack function, to be replaced with something better

Function DblToInt% (dblOld As Double)
    Dim dblNew As Double
    Dim sValue As String
    Dim iPos As Integer

    dblNew = RoundDouble#(dblOld, 0)
    'sValue = _Trim$(Str$(dblNew))

    sValue = DblToStr$(dblNew)

    'iPos = InStr(1, sValue, ".")
    'If iPos > 0 Then
    '    DblToInt% = Val(Left$(sValue, iPos - 1))
    'Else
    '    DblToInt% = Val(sValue)
    'End If

    DblToInt% = Val(sValue)
End Function ' DblToInt%

' /////////////////////////////////////////////////////////////////////////////
' Scientific notation - QB64 Wiki
' https://www.qb64.org/wiki/Scientific_notation

' Example: A string function that displays extremely small or large exponential decimal values.

Function DblToStr$ (n#)
    Dim result$: result$ = ""
    Dim value$
    Dim Xpos%
    Dim expo%
    Dim sign$
    Dim valu$
    Dim dot%
    Dim L%
    Dim add$
    Dim min$
    Dim DP$
    Dim n%

    value$ = UCase$(LTrim$(Str$(n#)))
    Xpos% = InStr(value$, "D") + InStr(value$, "E") ' only D or E can be present
    If Xpos% Then
        expo% = Val(Mid$(value$, Xpos% + 1))
        If Val(value$) < 0 Then
            sign$ = "-"
            valu$ = Mid$(value$, 2, Xpos% - 2)
        Else
            valu$ = Mid$(value$, 1, Xpos% - 1)
        End If
        dot% = InStr(valu$, ".")
        L% = Len(valu$)
        If expo% > 0 Then
            add$ = String$(expo% - (L% - dot%), "0")
        End If
        If expo% < 0 Then
            min$ = String$(Abs(expo%) - (dot% - 1), "0")
            DP$ = "."
        End If
        For n% = 1 To L%
            If Mid$(valu$, n%, 1) <> "." Then
                num$ = num$ + Mid$(valu$, n%, 1)
            End If
        Next n%
        result$ = _Trim$(sign$ + DP$ + min$ + num$ + add$)
    Else
        result$ = value$
    End If

    DblToStr$ = result$
End Function ' DblToStr$

' /////////////////////////////////////////////////////////////////////////////

Function DblRoundedToStr$ (dblValue As Double, intNumPlaces As Integer)
    Dim dblNew As Double
    dblNew = RoundDouble#(dblValue, intNumPlaces)
    DblRoundedToStr$ = DblToStr$(dblNew)
End Function ' DblRoundedToStr$

' /////////////////////////////////////////////////////////////////////////////
' Receives an {sDelim} delimited list {sInput}
' returns the list with all duplicate entries removed.

Function DedupeDelimList$ (sInput As String, sDelim As String)
    ReDim arrLines(-1) As String
    Dim sOutput As String
    Dim iLoop As Integer

    split sInput, sDelim, arrLines()
    sOutput = sDelim
    For iLoop = LBound(arrLines) To UBound(arrLines)
        If InStr(1, sOutput, sDelim + arrLines(iLoop) + sDelim) = 0 Then
            sOutput = sOutput + arrLines(iLoop) + sDelim
        End If
    Next iLoop

    DedupeDelimList$ = sOutput
End Function ' DedupeDelimList$

' /////////////////////////////////////////////////////////////////////////////

Function DoubleABS# (dblValue As Double)
    If Sgn(dblValue) = -1 Then
        DoubleABS# = 0 - dblValue
    Else
        DoubleABS# = dblValue
    End If
End Function ' DoubleABS#

' /////////////////////////////////////////////////////////////////////////////
' bplus: The Gold Standard is even better than THE QB64 CIRCLE sub in this respect!
' https://forum.qb64.org/index.php?topic=1044.135

' from Steve Gold standard
' Renamed fcirc to DrawCircleSolid

' Not as fast as DrawCircleTopLeft but pretty fast.

' Example:
' Screen _NewImage(800, 600, 32)
' _ScreenMove 250, 60
' For r = 250 To 0 Step -60
'     DrawCircleSolid 400, 300, r, _RGBA(255, 255, 255, 100)
' Next r

Sub DrawCircleSolid (CX As Integer, CY As Integer, R As Integer, C As _Unsigned Long)
    Dim Radius As Integer, RadiusError As Integer
    Dim X As Integer, Y As Integer

    Radius = Abs(R)
    RadiusError = -Radius
    X = Radius
    Y = 0

    If Radius = 0 Then PSet (CX, CY), C: Exit Sub

    ' Draw the middle span here so we don't draw it twice in the main loop,
    ' which would be a problem with blending turned on.
    Line (CX - X, CY)-(CX + X, CY), C, BF

    While X > Y
        RadiusError = RadiusError + Y * 2 + 1
        If RadiusError >= 0 Then
            If X <> Y + 1 Then
                Line (CX - Y, CY - X)-(CX + Y, CY - X), C, BF
                Line (CX - Y, CY + X)-(CX + Y, CY + X), C, BF
            End If
            X = X - 1
            RadiusError = RadiusError - X * 2
        End If
        Y = Y + 1
        Line (CX - X, CY - Y)-(CX + X, CY - Y), C, BF
        Line (CX - X, CY + Y)-(CX + X, CY + Y), C, BF
    Wend
End Sub ' DrawCircleSolid

' /////////////////////////////////////////////////////////////////////////////
' Draws scaled + rotated text to screen
' by BPlus

' Scale rotate font text strings by B+
' https://qb64phoenix.com/forum/showthread.php?tid=414&highlight=rotate+text

' INPUT:
' S$ is the string to display
' c is the color (will have a transparent background)
' midX and midY is the center of where you want to display the string
' xScale would multiply 8 pixel width of default font
' yScale would multiply the 16 pixel height of the default font
' Rotation is in Radian units, use _D2R to convert Degree units to Radian units

' DEPENDENCIES:
' drwString needs sub RotoZoom2, intended for graphics screens using the default font.

Sub drwString (S$, c As _Unsigned Long, midX, midY, xScale, yScale, Rotation As Single)
    I& = _NewImage(_PrintWidth(S$), _FontHeight, 32)
    _Dest I&
    Color c, _RGBA32(0, 0, 0, 0)
    _PrintString (0, 0), S$
    _Dest storeDest&
    RotoZoom2 midX, midY, I&, xScale, yScale, Rotation
    _FreeImage I&
End Sub ' drwString

' /////////////////////////////////////////////////////////////////////////////

Sub DumpScreenAndFontSize ()
    Dim iCols As Integer
    Dim iRows As Integer
    'Screen _NewImage(1024, 768, 32): _ScreenMove 0, 0
    iCols = _Width(0) \ _FontWidth
    iRows = _Height(0) \ _FontHeight
    Print "_Width(0)  =" + _Trim$(Str$(_Width(0)))
    Print "_Height(0) =" + _Trim$(Str$(_Height(0)))
    Print "_FontWidth =" + _Trim$(Str$(_FontWidth))
    Print "_FontHeight=" + _Trim$(Str$(_FontHeight))
    Print "iCols = _Width(0)  \ _FontWidth  = " + _Trim$(Str$(iCols))
    Print "iRows = _Height(0) \ _FontHeight = " + _Trim$(Str$(iRows))
End Sub ' DumpScreenAndFontSize

' /////////////////////////////////////////////////////////////////////////////
' SMcNeill
' More efficient version of ExtendedTimer.
' This stores our day values and only updates them when necessary.
' We really don't need to figure out how many seconds are in today over and over endlessly
' -- just count them once, and when the clock swaps back to 0:0:0, add 24*60*60 seconds to the count.
' Re: how to time something (ie do loop for n seconds)
' https://forum.qb64.org/index.php?topic=4682.0

Function ExtendedTimer##
    'modified extendedtimer to store the old day's count, and not have to recalculate it every time the routine is called.

    Static olds As _Float, old_day As _Float
    Dim m As Integer, d As Integer, y As Integer
    Dim s As _Float, day As String
    If olds = 0 Then 'calculate the day the first time the extended timer runs
        day = Date$
        m = Val(Left$(day, 2))
        d = Val(Mid$(day, 4, 2))
        y = Val(Right$(day, 4)) - 1970
        Select Case m 'Add the number of days for each previous month passed
            Case 2: d = d + 31
            Case 3: d = d + 59
            Case 4: d = d + 90
            Case 5: d = d + 120
            Case 6: d = d + 151
            Case 7: d = d + 181
            Case 8: d = d + 212
            Case 9: d = d + 243
            Case 10: d = d + 273
            Case 11: d = d + 304
            Case 12: d = d + 334
        End Select
        If (y Mod 4) = 2 And m > 2 Then d = d + 1 'add a day if this is leap year and we're past february
        d = (d - 1) + 365 * y 'current month days passed + 365 days per each standard year
        d = d + (y + 2) \ 4 'add in days for leap years passed
        s = d * 24 * 60 * 60 'Seconds are days * 24 hours * 60 minutes * 60 seconds
        old_day = s
    End If
    If Timer < oldt Then 'we went from 23:59:59 (a second before midnight) to 0:0:0 (midnight)
        old_day = s + 83400 'add another worth of seconds to our counter
    End If
    oldt = Timer
    olds = old_day + oldt
    ExtendedTimer## = olds
End Function ' ExtendedTimer##

' /////////////////////////////////////////////////////////////////////////////

Function FloatRoundedToStr$ (fValue As _Float, intNumPlaces As Integer)
    Dim fNew As _Float
    fNew = Round##(fValue, intNumPlaces)
    FloatRoundedToStr$ = FloatToStr$(fNew)
End Function ' DblRoundedToStr$

' /////////////////////////////////////////////////////////////////////////////
' Scientific notation - QB64 Wiki
' https://www.qb64.org/wiki/Scientific_notation

' Example: A string function that displays extremely small or large exponential decimal values.

Function FloatToStr$ (n##)
    value$ = UCase$(LTrim$(Str$(n##)))
    Xpos% = InStr(value$, "D") + InStr(value$, "E") 'only D or E can be present
    If Xpos% Then
        expo% = Val(Mid$(value$, Xpos% + 1))
        If Val(value$) < 0 Then
            sign$ = "-"
            valu$ = Mid$(value$, 2, Xpos% - 2)
        Else
            valu$ = Mid$(value$, 1, Xpos% - 1)
        End If
        dot% = InStr(valu$, ".")
        L% = Len(valu$)
        If expo% > 0 Then
            add$ = String$(expo% - (L% - dot%), "0")
        End If
        If expo% < 0 Then
            min$ = String$(Abs(expo%) - (dot% - 1), "0")
            DP$ = "."
        End If
        For n = 1 To L%
            If Mid$(valu$, n, 1) <> "." Then
                num$ = num$ + Mid$(valu$, n, 1)
            End If
        Next n
    Else
        FloatToStr$ = value$
        Exit Function
    End If
    FloatToStr$ = _Trim$(sign$ + DP$ + min$ + num$ + add$)
End Function ' FloatToStr$

' /////////////////////////////////////////////////////////////////////////////
' TODO: find the newer formatting function?

Function FormatNumber$ (myValue, iDigits As Integer)
    Dim strValue As String
    strValue = DblToStr$(myValue) + String$(iDigits, " ")
    If myValue < 1 Then
        If myValue < 0 Then
            strValue = Replace$(strValue, "-.", "-0.")
        ElseIf myValue > 0 Then
            strValue = "0" + strValue
        End If
    End If
    FormatNumber$ = Left$(strValue, iDigits)
End Function ' FormatNumber$

' /////////////////////////////////////////////////////////////////////////////
' From: Bitwise Manipulations By Steven Roman
' http://www.romanpress.com/Articles/Bitwise_R/Bitwise.htm

' Returns the 8-bit binary representation
' of an integer iInput where 0 <= iInput <= 255

Function GetBinary$ (iInput1 As Integer)
    Dim sResult As String
    Dim iLoop As Integer
    Dim iInput As Integer: iInput = iInput1

    sResult = ""

    If iInput >= 0 And iInput <= 255 Then
        For iLoop = 1 To 8
            sResult = LTrim$(RTrim$(Str$(iInput Mod 2))) + sResult
            iInput = iInput \ 2
            'If iLoop = 4 Then sResult = " " + sResult
        Next iLoop
    End If

    GetBinary$ = sResult
End Function ' GetBinary$

' /////////////////////////////////////////////////////////////////////////////
' wonderfully inefficient way to read if a bit is set
' ival = GetBit256%(int we are comparing, int containing the bits we want to read)

' See also: GetBit256%, SetBit256%

Function GetBit256% (iNum1 As Integer, iBit1 As Integer)
    Dim iResult As Integer
    Dim sNum As String
    Dim sBit As String
    Dim iLoop As Integer
    Dim bContinue As Integer
    'DIM iTemp AS INTEGER
    Dim iNum As Integer: iNum = iNum1
    Dim iBit As Integer: iBit = iBit1

    iResult = FALSE
    bContinue = TRUE

    If iNum < 256 And iBit <= 128 Then
        sNum = GetBinary$(iNum)
        sBit = GetBinary$(iBit)
        For iLoop = 1 To 8
            If Mid$(sBit, iLoop, 1) = "1" Then
                'if any of the bits in iBit are false, return false
                If Mid$(sNum, iLoop, 1) = "0" Then
                    iResult = FALSE
                    bContinue = FALSE
                    Exit For
                End If
            End If
        Next iLoop
        If bContinue = TRUE Then
            iResult = TRUE
        End If
    End If

    GetBit256% = iResult
End Function ' GetBit256%

' /////////////////////////////////////////////////////////////////////////////
' Returns the text character at positon x%, y%

' Does the same as:
'   Locate y%, x%
'   GetCharXY% = Screen(CsrLin, Pos(0))

' See also: GetColorXY&

Function GetCharXY% (x%, y%)
    GetCharXY% = Screen(y%, x%, 0) ' when 3rd parameter = 0 returns character code
End Function ' GetCharXY%

' /////////////////////////////////////////////////////////////////////////////
' Returns the text color at positon x%, y%

' See also: GetCharXY%

Function GetColorXY& (x%, y%)
    GetColorXY& = Screen(y%, x%, 1) ' when 3rd parameter = 1 returns character color
End Function ' GetColorXY

' /////////////////////////////////////////////////////////////////////////////
' Simple timestamp function
' Format: {YYYY}-{MM}-{DD} {hh}:[mm}:{ss}

' Uses:
'     TIME$
'         The TIME$ Function returns a STRING representation
'         of the current computer time in a 24 hour format.
'         https://qb64phoenix.com/qb64wiki/index.php/TIME$
'     DATE$
'         The DATE$ function returns the current computer date
'         as a string in the format "mm-dd-yyyy".
'         https://qb64phoenix.com/qb64wiki/index.php/DATE$
'
' TODO: support template where
'       {yyyy} = 4 digit year
'       {mm}   = 2 digit month
'       {dd}   = 2 digit day
'       {hh}   = 2 digit hour (12-hour)
'       {rr}   = 2 digit hour (24-hour)
'       {nn}   = 2 digit minute
'       {ss}   = 2 digit second
'       {ampm} = AM/PM

' We got the nn for minute from Microsoft > Office VBA Reference > DateDiff function
' https://docs.microsoft.com/en-us/office/vba/language/reference/user-interface-help/datediff-function

' PRINT "Current date time (simple format) = " + Chr$(34) + GetCurrentDateTime$("{yyyy}-{mm}-{dd} {rr}:{nn}:{ss}") + Chr$(34)
' PRINT "Current date time (US format)     = " + Chr$(34) + GetCurrentDateTime$("{mm}/{dd}/{yyyy} {hh}:{nn}:{ss} {ampm}") + Chr$(34)
' PRINT "Filename timestamp                = " + Chr$(34) + GetCurrentDateTime$("{yyyy}{mm}{dd}_{rr}{nn}{ss}") + Chr$(34)

Function GetCurrentDateTime$ (sTemplate$)
    Dim sDate$: sDate$ = Date$
    Dim sTime$: sTime$ = Time$
    Dim sYYYY$: sYYYY$ = Mid$(sDate$, 7, 4)
    Dim sMM$: sMM$ = Mid$(sDate$, 1, 2)
    Dim sDD$: sDD$ = Mid$(sDate$, 4, 2)
    Dim sHH24$: sHH24$ = Mid$(sTime$, 1, 2)
    Dim sHH$: sHH$ = ""
    Dim sMI$: sMI$ = Mid$(sTime$, 4, 2)
    Dim sSS$: sSS$ = Mid$(sTime$, 7, 2)
    Dim iHour%: iHour% = Val(sHH24$)
    Dim sAMPM$: sAMPM$ = ""
    Dim result$: result$ = ""

    ' FIGURE OUT AM/PM
    If InStr(sTemplate$, "{ampm}") > 0 Then
        If iHour% = 0 Then
            sAMPM$ = "AM"
            iHour% = 12
        ElseIf iHour% > 0 And iHour% < 12 Then
            sAMPM$ = "AM"
        ElseIf iHour% = 12 Then
            sAMPM$ = "PM"
        Else
            sAMPM$ = "PM"
            iHour% = iHour% - 12
        End If
        sHH$ = Right$("00" + _Trim$(Str$(iHour%)), 2)
    End If

    ' POPULATE TEMPLATE
    result$ = sTemplate$
    result$ = Replace$(result$, "{yyyy}", sYYYY$)
    result$ = Replace$(result$, "{mm}", sMM$)
    result$ = Replace$(result$, "{dd}", sDD$)
    result$ = Replace$(result$, "{hh}", sHH$)
    result$ = Replace$(result$, "{rr}", sHH24$)
    result$ = Replace$(result$, "{nn}", sMI$)
    result$ = Replace$(result$, "{ss}", sSS$)
    result$ = Replace$(result$, "{ampm}", sAMPM$)

    ' RETURN RESULT
    GetCurrentDateTime$ = result$
End Function ' GetCurrentDateTime$

' /////////////////////////////////////////////////////////////////////////////
' From: Bitwise Manipulations By Steven Roman
' http://www.romanpress.com/Articles/Bitwise_R/Bitwise.htm

' Returns the integer that corresponds to a binary string of length 8

Function GetIntegerFromBinary% (sBinary1 As String)
    Dim iResult As Integer
    Dim iLoop As Integer
    Dim strBinary As String
    Dim sBinary As String: sBinary = sBinary1

    iResult = 0
    strBinary = Replace$(sBinary, " ", "") ' Remove any spaces
    For iLoop = 0 To Len(strBinary) - 1
        iResult = iResult + 2 ^ iLoop * Val(Mid$(strBinary, Len(strBinary) - iLoop, 1))
    Next iLoop

    GetIntegerFromBinary% = iResult
End Function ' GetIntegerFromBinary%

' /////////////////////////////////////////////////////////////////////////////
' Receives a {sDelimeter} delimited list of numbers {MyString}
' and splits it up into an integer array arrInteger()
' beginning at index {iMinIndex}.

Sub GetIntegerArrayFromDelimList (MyString As String, sDelimiter As String, iMinIndex As Integer, arrInteger() As Integer)
    ReDim arrString(-1) As String
    Dim CleanString As String
    Dim iLoop As Integer
    Dim iCount As Integer: iCount = iMinIndex - 1

    ReDim arrInteger(-1) As Integer

    'DebugPrint "GetIntegerArrayFromDelimList " + _
    '    "MyString=" + chr$(34) + MyString + chr$(34) + ", " + _
    '    "sDelimiter=" + chr$(34) + sDelimiter + chr$(34) + ", " + _
    '    "iMinIndex=" + cstr$(iMinIndex) + ", " + _
    '    "arrInteger()"

    If Len(sDelimiter) > 0 Then
        CleanString = MyString
        If sDelimiter <> " " Then
            CleanString = Replace$(CleanString, " ", "")
        End If

        split CleanString, sDelimiter, arrString()
        iCount = iMinIndex - 1
        For iLoop = LBound(arrString) To UBound(arrString)
            If IsNum%(arrString(iLoop)) = TRUE Then
                iCount = iCount + 1
                ReDim _Preserve arrInteger(iMinIndex To iCount) As Integer
                arrInteger(iCount) = Val(arrString(iLoop))
                'DebugPrint "5633 arrInteger(" + cstr$(iCount) + ") = VAL(arrString(" + cstr$(iLoop) + ")) = " + cstr$(arrInteger(iCount))

            End If
        Next iLoop
    Else
        If IsNum%(MyString) = TRUE Then
            ReDim _Preserve arrInteger(iMinIndex To iMinIndex) As Integer
            arrInteger(iMinIndex) = Val(MyString)
        End If
    End If

    'CleanString=""
    'for iLoop=lbound(arrInteger) to ubound(arrInteger)
    'CleanString = CleanString + iifstr$(iLoop=lbound(arrInteger), "", ",") + cstr$(arrInteger(iLoop))
    'next iLoop
    'DebugPrint "arrInteger=(" + CleanString + ")"
End Sub ' GetIntegerArrayFromDelimList

' /////////////////////////////////////////////////////////////////////////////
' Gets the # of seconds so far today

Function GetTimeSeconds& ()
    Dim result&: result& = 0
    Dim sTime$: sTime$ = Time$
    Dim sHH24$: sHH24$ = Mid$(sTime$, 1, 2)
    Dim sMI$: sMI$ = Mid$(sTime$, 4, 2)
    Dim sSS$: sSS$ = Mid$(sTime$, 7, 2)
   
    result& = result& + VAL(sSS$)
    result& = result& + (VAL(sMI$) * 60)
    result& = result& + ( (VAL(sHH24$) * 60) * 60)
   
    ' RETURN RESULT
    GetTimeSeconds& = result&
End Function ' GetTimeSeconds&

' /////////////////////////////////////////////////////////////////////////////
' IIF function for QB for integers

Function IIF (Condition, IfTrue, IfFalse)
    If Condition Then IIF = IfTrue Else IIF = IfFalse
End Function

' /////////////////////////////////////////////////////////////////////////////
' IIF function for QB for strings

Function IIFSTR$ (Condition, IfTrue$, IfFalse$)
    If Condition Then IIFSTR$ = IfTrue$ Else IIFSTR$ = IfFalse$
End Function

' /////////////////////////////////////////////////////////////////////////////

Function IntPadLeft$ (iValue As Integer, iWidth As Integer)
    IntPadLeft$ = Right$(String$(iWidth, " ") + _Trim$(Str$(iValue)), iWidth)
End Function ' IntPadLeft$

' /////////////////////////////////////////////////////////////////////////////

Function IntPadRight$ (iValue As Integer, iWidth As Integer)
    IntPadRight$ = Left$(_Trim$(Str$(iValue)) + String$(iWidth, " "), iWidth)
End Function ' IntPadRight$

' /////////////////////////////////////////////////////////////////////////////
' Returns TRUE if number n is even
' https://slaystudy.com/qbasic-program-to-check-if-number-is-even-or-odd/
' see also: IsOdd%

Function IsEven% (n)
    If n Mod 2 = 0 Then
        IsEven% = TRUE
    Else
        IsEven% = FALSE
    End If
End Function ' IsEven%

' /////////////////////////////////////////////////////////////////////////////
' Returns TRUE if value text$ is numeric.

Function IsNum% (text$)
    IsNum% = IsNumber%(text$)
End Function ' IsNum%

'' NOTE: THIS FAILS FOR NUMBERS LIKE "002" AND "2.000":
'' from https://www.qb64.org/forum/index.php?topic=896.0
'Function IsNum% (text$)
'    Dim a$
'    Dim b$
'    a$ = _Trim$(text$)
'    b$ = _Trim$(Str$(Val(text$)))
'    If a$ = b$ Then
'        IsNum% = TRUE
'    Else
'        IsNum% = FALSE
'    End If
'End Function ' IsNum%

' /////////////////////////////////////////////////////////////////////////////
' Returns TRUE if value OriginalString$ is numeric.

' Re: Does a Is Number function exist in QB64?
' https://www.qb64.org/forum/index.php?topic=896.15

' Version 2 by madscijr
' Returns TRUE (-1) if string is an integer, FALSE (0) if not

' Version 1 by MWheatley
' Reply #18 on: January 01, 2019, 11:24:30 AM
' returns 1 if string is an integer, 0 if not

Function IsNumber% (OriginalString$)
    Dim bResult%: bResult% = FALSE
    Dim iLoop%
    Dim TestString$
    'Dim bNegative%
    Dim iDecimalCount%
    Dim sNextChar$

    'THEY SHOULD TRIM OUTSIDE THE FUNCTION!
    'TestString$ = _TRIM$(OriginalString$)

    If Len(OriginalString$) > 0 Then
        TestString$ = ""
        If Left$(OriginalString$, 1) = "+" Then
            TestString$ = Right$(OriginalString$, Len(OriginalString$) - 1)
            'bNegative% = FALSE
        ElseIf Left$(OriginalString$, 1) = "-" Then
            TestString$ = Right$(OriginalString$, Len(OriginalString$) - 1)
            'bNegative% = TRUE
        Else
            TestString$ = OriginalString$
            'bNegative% = FALSE
        End If
        If Len(TestString$) > 0 Then
            bResult% = TRUE
            iDecimalCount% = 0
            For iLoop% = 1 To Len(TestString$)
                sNextChar$ = Mid$(TestString$, iLoop%, 1)
                If sNextChar$ = "." Then
                    iDecimalCount% = iDecimalCount% + 1
                    If iDecimalCount% > 1 Then
                        ' TOO MANY DECIMAL POINTS, INVALID!
                        bResult% = FALSE
                        Exit For
                    End If
                ElseIf Asc(sNextChar$) < 48 Or Asc(sNextChar$) > 57 Then
                    ' NOT A NUMERAL OR A DECIMAL, INVALID!
                    bResult% = FALSE
                    Exit For
                End If
            Next iLoop%
        End If
    End If
    IsNumber% = bResult%
End Function ' IsNumber%

' /////////////////////////////////////////////////////////////////////////////

'Sub IsNumberTest
'    Dim in$
'    Cls
'    IsNumberTest1 "1"
'    IsNumberTest1 "01"
'    IsNumberTest1 "001"
'    IsNumberTest1 "-1"
'    IsNumberTest1 "-01"
'    IsNumberTest1 "-001"
'    IsNumberTest1 "+1"
'    IsNumberTest1 "+01"
'    IsNumberTest1 "+001"
'    IsNumberTest1 ".1"
'    IsNumberTest1 ".01"
'    IsNumberTest1 ".001"
'    IsNumberTest1 ".10"
'    IsNumberTest1 ".100"
'    IsNumberTest1 "..100"
'    IsNumberTest1 "100."
'    Input "PRESS ENTER TO CONTINUE TEST";in$
'    Cls
'    IsNumberTest1 "0.10"
'    IsNumberTest1 "00.100"
'    IsNumberTest1 "000.1000"
'    IsNumberTest1 "000..1000"
'    IsNumberTest1 "000.1000.00"
'    IsNumberTest1 "+1.00"
'    IsNumberTest1 "++1.00"
'    IsNumberTest1 "+-1.00"
'    IsNumberTest1 "-1.00"
'    IsNumberTest1 "-+1.00"
'    IsNumberTest1 " 1"
'    IsNumberTest1 "1 "
'    IsNumberTest1 "1. 01"
'    IsNumberTest1 "+1 "
'End Sub ' IsNumberTest
'Sub IsNumberTest1(MyString As String)
'    Const cWidth = 16
'    Dim sInput As String : sInput = left$(Chr$(34) + MyString + Chr$(34) + String$(cWidth, " "), cWidth)
'    Dim sResult As String : sResult = right$(String$(2, " ") + _Trim$(Str$(IsNumber%(MyString))), 2)
'    Print "IsNumber%(" + sInput + ") returns " + sResult
'End Sub ' IsNumberTest1

' /////////////////////////////////////////////////////////////////////////////
' Returns TRUE if number n is odd
' https://slaystudy.com/qbasic-program-to-check-if-number-is-even-or-odd/
' see also: IsEven%

Function IsOdd% (n)
    If n Mod 2 = 1 Then
        IsOdd% = TRUE
    Else
        IsOdd% = FALSE
    End If
End Function ' IsOdd%

' /////////////////////////////////////////////////////////////////////////////
' Split and join strings
' https://www.qb64.org/forum/index.php?topic=1073.0

'Combine all elements of in$() into a single string with delimiter$ separating the elements.

Function join$ (in$(), delimiter$)
    Dim result$
    Dim i As Long
    result$ = in$(LBound(in$))
    For i = LBound(in$) + 1 To UBound(in$)
        result$ = result$ + delimiter$ + in$(i)
    Next i
    join$ = result$
End Function ' join$

' /////////////////////////////////////////////////////////////////////////////

Function LeftPadString$ (myString$, toWidth%, padChar$)
    LeftPadString$ = Right$(String$(toWidth%, padChar$) + myString$, toWidth%)
End Function ' LeftPadString$

' /////////////////////////////////////////////////////////////////////////////
' ABS was returning strange values with type LONG
' so I created this which does not.

Function LongABS& (lngValue As Long)
    If Sgn(lngValue) = -1 Then
        LongABS& = 0 - lngValue
    Else
        LongABS& = lngValue
    End If
End Function ' LongABS&

' /////////////////////////////////////////////////////////////////////////////
' remove scientific Notation to String (~40 LOC)
' SMcNeill Jan 7, 2020
' https://www.qb64.org/forum/index.php?topic=1555.msg112989#msg112989

' Last Function in code marked Best Answer (removed debug comments and
' blank lines added these 2 lines.)

Function N2S$ (EXP$)
    ReDim t$, sign$, l$, r$, r&&
    ReDim dp As Long, dm As Long, ep As Long, em As Long, check1 As Long, l As Long, i As Long
    t$ = LTrim$(RTrim$(EXP$))
    If Left$(t$, 1) = "-" Or Left$(t$, 1) = "N" Then sign$ = "-": t$ = Mid$(t$, 2)
    dp = InStr(t$, "D+"): dm = InStr(t$, "D-")
    ep = InStr(t$, "E+"): em = InStr(t$, "E-")
    check1 = Sgn(dp) + Sgn(dm) + Sgn(ep) + Sgn(em)
    If check1 < 1 Or check1 > 1 Then N2S = _Trim$(EXP$): Exit Function ' If no scientic notation is found, or if we find more than 1 type, it's not SN!
    Select Case l ' l now tells us where the SN starts at.
        Case Is < dp: l = dp
        Case Is < dm: l = dm
        Case Is < ep: l = ep
        Case Is < em: l = em
    End Select
    l$ = Left$(t$, l - 1) ' The left of the SN
    r$ = Mid$(t$, l + 1): r&& = Val(r$) ' The right of the SN, turned into a workable long
    If InStr(l$, ".") Then ' Location of the decimal, if any
        If r&& > 0 Then
            r&& = r&& - Len(l$) + 2
        Else
            r&& = r&& + 1
        End If
        l$ = Left$(l$, 1) + Mid$(l$, 3)
    End If
    Select Case r&&
        Case 0 ' what the heck? We solved it already?
            ' l$ = l$
        Case Is < 0
            For i = 1 To -r&&
                l$ = "0" + l$
            Next
            l$ = "." + l$
        Case Else
            For i = 1 To r&&
                l$ = l$ + "0"
            Next
            l$ = l$
    End Select
    N2S$ = sign$ + l$
End Function ' N2S$

' /////////////////////////////////////////////////////////////////////////////
' Pauses for iDS deciseconds (iDS * 100 ms)

Sub PauseDecisecond (iDS As Integer)
    Dim iCount As Integer
    iCount = 0
    Do
        iCount = iCount + 1
        _Limit 10 ' run 10x every second
    Loop Until iCount = iDS
End Sub ' PauseDecisecond

' /////////////////////////////////////////////////////////////////////////////
' Returns TRUE if point (x1%, y1%) is adjacent to point (x2%, y2%)

Function PointsAreAdjacent% (x1%, y1%, x2%, y2%)
    Dim bResult%: bResult% = FALSE

    ' x or y can be the same, but not both
    If (x1% <> x2%) Or (y1% <> y2%) Then
        If (x1% = x2%) Or ((x1% = (x2% + 1)) Or (x2% = (x1% + 1))) Then
            If (y1% = y2%) Or ((y1% = (y2% + 1)) Or (y2% = (y1% + 1))) Then
                bResult% = TRUE
            End If
        End If
    End If
    PointsAreAdjacent% = bResult%
End Function ' PointsAreAdjacent%

' /////////////////////////////////////////////////////////////////////////////
' Does a _PrintString at the specified row+column.
'
' iRow% and iCol% are 0-based in this version
'
' See also: PrintString, PrintString1, PutCharXY

Sub PrintAt (iRow%, iCol%, sText$)
    '_PrintString (iCol% * 8, iRow% * 16), sText$
    _PrintString (iCol% * 8, iRow% * 16), sText$
    '_PrintString (iCol%, iRow%), sText$
End Sub ' PrintAt

' /////////////////////////////////////////////////////////////////////////////
' Writes sText to file sFileName.
' If bAppend=TRUE appends to file, else overwrites it.

' Returns blank if successful else returns error message.

' Example:
' ProgramPath$ = Left$(Command$(0), _InStrRev(Command$(0), "\"))
' ProgramName$: m_ProgramName$ = Mid$(Command$(0), _InStrRev(Command$(0), "\") + 1)
' sFileName = ProgramPath$ + ProgramName$ + ".OUT.txt"
' sText = "This is a test." + chr$(13) + "Here is line 2." + chr$(13) + "End."
' sError = PrintFile$(sFileName, sText, FALSE)

Function PrintFile$ (sFileName As String, sText As String, bAppend As Integer)
    Dim sError As String: sError = ""

    If Len(sError) = 0 Then
        If (bAppend = TRUE) Then
            If _FileExists(sFileName) Then
                Open sFileName For Append As #1 ' opens an existing file for appending
            Else
                sError = "Error in PrintFile$ : File not found. Cannot append."
            End If
        Else
            Open sFileName For Output As #1 ' opens and clears an existing file or creates new empty file
        End If
    End If
    If Len(sError) = 0 Then
        ' NOTE: WRITE places text in quotes in the file
        'WRITE #1, x, y, z$
        'WRITE #1, sText

        ' PRINT does not put text inside quotes
        Print #1, sText

        Close #1
    End If

    PrintFile$ = sError
End Function ' PrintFile$

' /////////////////////////////////////////////////////////////////////////////
' Does a _PrintString at the specified row+column.
' iRow and iCol are 0-based.
' See also: PrintString1

Sub PrintString (iRow As Integer, iCol As Integer, MyString As String)
    Dim iX As Integer
    Dim iY As Integer
    iX = _FontWidth * iCol
    iY = _FontHeight * iRow ' (iRow + 1)
    _PrintString (iX, iY), MyString
End Sub ' PrintString

' /////////////////////////////////////////////////////////////////////////////
' Does a _PrintString at the specified row+column.
' iRow and iCol are 1-based.
' See also: PrintString

Sub PrintString1 (iRow As Integer, iCol As Integer, MyString As String)
    Dim iX As Integer
    Dim iY As Integer
    iX = _FontWidth * (iCol - 1)
    iY = _FontHeight * (iRow - 1)
    _PrintString (iX, iY), MyString
End Sub ' PrintString1

' /////////////////////////////////////////////////////////////////////////////
' iNum% = PromptForIntegerInRange%("Please type a number between {min} and {max} (or blank to quit).", 1, 4, 0) ' prompt, min, max, default

Function PromptForIntegerInRange% (sPrompt$, iMin%, iMax%, iDefault%)
    Dim iValue%
    Dim bFinished%
    Dim sPrompt1$
    Dim in$

    If Len(sPrompt$) > 0 Then
        sPrompt1$ = sPrompt$
    Else
        sPrompt1$ = "Please type a number between {min} and {max} (or blank to quit)."
    End If

    sPrompt1$ = Replace$(sPrompt1$, "{min}", cstr$(iMin%))
    sPrompt1$ = Replace$(sPrompt1$, "{max}", cstr$(iMax%))

    bFinished% = FALSE
    Do
        Print sPrompt1$

        Input in$
        in$ = _Trim$(in$)
        If Len(in$) > 0 Then
            If IsNumber(in$) Then
                iValue% = Val(in$)
                If iValue% >= iMin% And iValue% <= iMax% Then
                    'bFinished% = TRUE
                    Exit Do
                Else
                    Print "Number out of range."
                    Print
                End If
            Else
                Print "Not a valid number."
                Print
            End If
        Else
            iValue% = iDefault%
            Exit Do
            'bFinished% = TRUE
        End If
    Loop Until bFinished% = TRUE

    PromptForIntegerInRange% = iValue%
End Function ' PromptForIntegerInRange%

' /////////////////////////////////////////////////////////////////////////////
' Prints text character char$ at positoin x%,y% in color myColor&.

Sub PutCharXY (x%, y%, char$, myColor&)
    Color myColor&
    Locate y%, x%
    Print char$;
End Sub ' PutCharXY

' /////////////////////////////////////////////////////////////////////////////
' Initializes random number generator seed

' NOTE:
' using # of seconds so far in the day
' may be slightly more random than Randomize Timer
' unless user runs program at exact same time every day

Sub InitializeRandom
    dim iSeed As Integer
   
    'iSeed = GetTimeSeconds& MOD 32767
   
    t9# = (Timer * 1000000) Mod 32767
   
    Randomize iSeed
    'print "Randomize " + cstr$(iSeed)
    'Sleep
End Sub ' InitializeRandom

' /////////////////////////////////////////////////////////////////////////////
' Generate random value between Min and Max inclusive.

' Note: random-number generator should be initialized with
'       InitializeRandom or Randomize Timer

Function RandomNumber% (Min%, Max%)
    Dim NumSpread%
    NumSpread% = (Max% - Min%) + 1
    RandomNumber% = Int(Rnd * NumSpread%) + Min% ' GET RANDOM # BETWEEN Max% AND Min%
End Function ' RandomNumber%

' /////////////////////////////////////////////////////////////////////////////

$If  Then
    Sub RandomNumberTest
    Dim iCols As Integer: iCols = 10
    Dim iRows As Integer: iRows = 20
    Dim iLoop As Integer
    Dim iX As Integer
    Dim iY As Integer
    Dim sError As String
    Dim sFileName As String
    Dim sText As String
    Dim bAppend As Integer
    Dim iMin As Integer
    Dim iMax As Integer
    Dim iNum As Integer
    Dim iErrorCount As Integer
    Dim sInput$

    sFileName = "c:\temp\maze_test_1.txt"
    sText = "Count" + Chr$(9) + "Min" + Chr$(9) + "Max" + Chr$(9) + "Random"
    bAppend = FALSE
    sError = PrintFile$(sFileName, sText, bAppend)
    If Len(sError) = 0 Then
    bAppend = TRUE
    iErrorCount = 0

    iMin = 0
    iMax = iCols - 1
    For iLoop = 1 To 100
    iNum = RandomNumber%(iMin, iMax)
    sText = Str$(iLoop) + Chr$(9) + Str$(iMin) + Chr$(9) + Str$(iMax) + Chr$(9) + Str$(iNum)
    sError = PrintFile$(sFileName, sText, bAppend)
    If Len(sError) > 0 Then
    iErrorCount = iErrorCount + 1
    Print Str$(iLoop) + ". ERROR"
    Print "    " + "iMin=" + Str$(iMin)
    Print "    " + "iMax=" + Str$(iMax)
    Print "    " + "iNum=" + Str$(iNum)
    Print "    " + "Could not write to file " + Chr$(34) + sFileName + Chr$(34) + "."
    Print "    " + sError
    End If
    Next iLoop

    iMin = 0
    iMax = iRows - 1
    For iLoop = 1 To 100
    iNum = RandomNumber%(iMin, iMax)
    sText = Str$(iLoop) + Chr$(9) + Str$(iMin) + Chr$(9) + Str$(iMax) + Chr$(9) + Str$(iNum)
    sError = PrintFile$(sFileName, sText, bAppend)
    If Len(sError) > 0 Then
    iErrorCount = iErrorCount + 1
    Print Str$(iLoop) + ". ERROR"
    Print "    " + "iMin=" + Str$(iMin)
    Print "    " + "iMax=" + Str$(iMax)
    Print "    " + "iNum=" + Str$(iNum)
    Print "    " + "Could not write to file " + Chr$(34) + sFileName + Chr$(34) + "."
    Print "    " + sError
    End If
    Next iLoop

    Print "Finished generating numbers. Errors: " + Str$(iErrorCount)
    Else
    Print "Error creating file " + Chr$(34) + sFileName + Chr$(34) + "."
    Print sError
    End If

    Input "Press <ENTER> to continue", sInput$
    End Sub ' RandomNumberTest
$End If

' /////////////////////////////////////////////////////////////////////////////
' FROM: String Manipulation
' found at abandoned, outdated and now likely malicious qb64 dot net website
' http://www.qb64.[net]/forum/index_topic_5964-0/
'
'SUMMARY:
'   Purpose:  A library of custom functions that transform strings.
'   Author:   Dustinian Camburides (dustinian@gmail.com)
'   Platform: QB64 (www.qb64.org)
'   Revision: 1.6
'   Updated:  5/28/2012

'SUMMARY:
'[Replace$] replaces all instances of the [Find] sub-string with the [Add] sub-string within the [Text] string.
'INPUT:
'Text: The input string; the text that's being manipulated.
'Find: The specified sub-string; the string sought within the [Text] string.
'Add: The sub-string that's being added to the [Text] string.

Function Replace$ (Text1 As String, Find1 As String, Add1 As String)
    ' VARIABLES:
    Dim Text2 As String
    Dim Find2 As String
    Dim Add2 As String
    Dim lngLocation As Long ' The address of the [Find] substring within the [Text] string.
    Dim strBefore As String ' The characters before the string to be replaced.
    Dim strAfter As String ' The characters after the string to be replaced.

    ' INITIALIZE:
    ' MAKE COPIESSO THE ORIGINAL IS NOT MODIFIED (LIKE ByVal IN VBA)
    Text2 = Text1
    Find2 = Find1
    Add2 = Add1

    lngLocation = InStr(1, Text2, Find2)

    ' PROCESSING:
    ' While [Find2] appears in [Text2]...
    While lngLocation
        ' Extract all Text2 before the [Find2] substring:
        strBefore = Left$(Text2, lngLocation - 1)

        ' Extract all text after the [Find2] substring:
        strAfter = Right$(Text2, ((Len(Text2) - (lngLocation + Len(Find2) - 1))))

        ' Return the substring:
        Text2 = strBefore + Add2 + strAfter

        ' Locate the next instance of [Find2]:
        lngLocation = InStr(1, Text2, Find2)

        ' Next instance of [Find2]...
    Wend

    ' OUTPUT:
    Replace$ = Text2
End Function ' Replace$

' /////////////////////////////////////////////////////////////////////////////

$If  Then
    Sub ReplaceTest
    Dim in$

    Print "-------------------------------------------------------------------------------"
    Print "ReplaceTest"
    Print

    Print "Original value"
    in$ = "Thiz iz a teZt."
    Print "in$ = " + Chr$(34) + in$ + Chr$(34)
    Print

    Print "Replacing lowercase " + Chr$(34) + "z" + Chr$(34) + " with " + Chr$(34) + "s" + Chr$(34) + "..."
    in$ = Replace$(in$, "z", "s")
    Print "in$ = " + Chr$(34) + in$ + Chr$(34)
    Print

    Print "Replacing uppercase " + Chr$(34) + "Z" + Chr$(34) + " with " + Chr$(34) + "s" + Chr$(34) + "..."
    in$ = Replace$(in$, "Z", "s")
    Print "in$ = " + Chr$(34) + in$ + Chr$(34)
    Print

    Print "ReplaceTest finished."
    End Sub ' ReplaceTest
$End If

' /////////////////////////////////////////////////////////////////////////////

Function RightPadString$ (myString$, toWidth%, padChar$)
    RightPadString$ = Left$(myString$ + String$(toWidth%, padChar$), toWidth%)
End Function ' RightPadString$

' /////////////////////////////////////////////////////////////////////////////
' This sub gives really nice control over displaying an Image.
' by BPlus

' Scale rotate font text strings by B+
' https://qb64phoenix.com/forum/showthread.php?tid=414&highlight=rotate+text

' USED BY: drwString

Sub RotoZoom2 (centerX As Long, centerY As Long, Image As Long, xScale As Single, yScale As Single, Rotation As Single)
    Dim px(3) As Single: Dim py(3) As Single
    W& = _Width(Image&): H& = _Height(Image&)
    px(0) = -W& / 2: py(0) = -H& / 2: px(1) = -W& / 2: py(1) = H& / 2
    px(2) = W& / 2: py(2) = H& / 2: px(3) = W& / 2: py(3) = -H& / 2
    sinr! = Sin(-Rotation): cosr! = Cos(-Rotation)
    For i& = 0 To 3
        x2& = (px(i&) * cosr! + sinr! * py(i&)) * xScale + centerX: y2& = (py(i&) * cosr! - px(i&) * sinr!) * yScale + centerY
        px(i&) = x2&: py(i&) = y2&
    Next
    _MapTriangle (0, 0)-(0, H& - 1)-(W& - 1, H& - 1), Image& To(px(0), py(0))-(px(1), py(1))-(px(2), py(2))
    _MapTriangle (0, 0)-(W& - 1, 0)-(W& - 1, H& - 1), Image& To(px(0), py(0))-(px(3), py(3))-(px(2), py(2))
End Sub ' RotoZoom2

'' /////////////////////////////////////////////////////////////////////////////
'' https://qb64phoenix.com/forum/showthread.php?tid=644
'' From: bplus
'' Date: 07-18-2022, 03:16 PM
'' Here is a Round$ that acts the way you'd expect in under 100 LOC
'' b = b + ...
'
'Function Round$ (anyNumber, dp As Long)
'    ' 5 and up at decimal place dp+1 > +1 at decimal place   4 and down  > +0 at dp
'    ' 2 1 0.-1 -2 -3 -4 ...  pick dp like this for this Round$ Function
'    sn$ = N2S$(Str$(anyNumber + .5 * 10 ^ dp)) ' get rid of sci notation, steve trims it so next find dot
'    dot = InStr(sn$, ".")
'    If dot Then
'        predot = dot - 1
'        postdot = Len(sn$) - (dot + 1)
'    Else
'        predot = Len(sn$)
'        postdot = 0
'    End If
'    ' xxx.yyyyyy  dp = -2
'    '      ^ dp
'    If dp >= 0 Then
'        Rtn$ = Mid$(sn$, 1, predot - dp) + String$(dp, "0")
'    Else
'        Rtn$ = Mid$(sn$, 1, predot) + "." + Mid$(sn$, dot + 1, -dp)
'    End If
'    If Rtn$ = "" Then
'        Round$ = "0"
'    Else
'        Round$ = Rtn$
'    End If
'End Function ' Round$
'
'' /////////////////////////////////////////////////////////////////////////////
''
''Sub RoundTest
''   Print Round$(.15, 0) '  0
''   Print Round$(.15, -1) ' .2
''   Print Round$(.15, -2) ' .15
''   Print Round$(.15, -3) ' .150
''   Print
''   Print Round$(3555, 0) ' 3555
''   Print Round$(3555, 1) ' 3560
''   Print Round$(3555, 2) ' 3600 'good
''   Print Round$(3555, 3) ' 4000
''   Print
''   Print Round$(23.149999, -1) ' 23.1
''   Print Round$(23.149999, -2) ' 23.15
''   Print Round$(23.149999, -3) ' 23.150
''   Print Round$(23.149999, -4) ' 23.1500
''   Print
''   Print Round$(23.143335, -1) ' 23.1 OK?
''   Print Round$(23.143335, -2) ' 23.14
''   Print Round$(23.143335, -3) ' 23.143
''   Print Round$(23.143335, -4) ' 23.1433
''   Print Round$(23.143335, -5) ' 23.14334
''   Print
''   Dim float31 As _Float
''   float31 = .310000000000009
''   Print Round$(.31, -2) ' .31
''   Print Round$(.31##, -2)
''   Print Round$(float31, -2)
''End Sub ' RoundTest

' /////////////////////////////////////////////////////////////////////////////
' https://www.qb64.org/forum/index.php?topic=3605.0
' Quote from: SMcNeill on Today at 03:53:48 PM
'
' Sometimes, you guys make things entirely too  complicated.
' There ya go!  Three functions to either round naturally,
' always round down, or always round up, to whatever number of digits you desire.
' EDIT:  Modified to add another option to round scientific,
' since you had it's description included in your example.

' Receives + returns _FLOAT myVar## (-1.18E-4932 to +1.18E+4932)

' =============================================================================
' ROUNDING FUNCTIONS FOR TYPE _FLOAT

' old name: RoundNatural##
Function Round## (num##, digits%)
    Round## = Int(num## * 10 ^ digits% + .5) / 10 ^ digits%
End Function

Function RoundUp## (num##, digits%)
    RoundUp## = _Ceil(num## * 10 ^ digits%) / 10 ^ digits%
End Function

Function RoundDown## (num##, digits%)
    RoundDown## = Int(num## * 10 ^ digits%) / 10 ^ digits%
End Function

' old name: Round_Scientific##
Function RoundScientific## (num##, digits%)
    RoundScientific## = _Round(num## * 10 ^ digits%) / 10 ^ digits%
End Function

' =============================================================================
' ROUNDING FUNCTIONS FOR TYPE DOUBLE

Function RoundDouble# (num#, digits%)
    RoundDouble# = Int(num# * 10 ^ digits% + .5) / 10 ^ digits%
End Function

Function RoundUpDouble# (num#, digits%)
    RoundUpDouble# = _Ceil(num# * 10 ^ digits%) / 10 ^ digits%
End Function

Function RoundDownDouble# (num#, digits%)
    RoundDownDouble# = Int(num# * 10 ^ digits%) / 10 ^ digits%
End Function

Function RoundScientificDouble# (num#, digits%)
    RoundScientificDouble# = _Round(num# * 10 ^ digits%) / 10 ^ digits%
End Function

' =============================================================================
' ROUNDING FUNCTIONS FOR TYPE SINGLE

Function RoundSingle! (num!, digits%)
    RoundSingle! = Int(num! * 10 ^ digits% + .5) / 10 ^ digits%
End Function

' NOTE: not sure this one works: when digits%=3, it rounds .31 to .32
Function RoundUpSingle! (num!, digits%)
    RoundUpSingle! = _Ceil(num! * 10 ^ digits%) / 10 ^ digits%
End Function

Function RoundDownSingle! (num!, digits%)
    RoundDownSingle! = Int(num! * 10 ^ digits%) / 10 ^ digits%
End Function

Function RoundScientificSingle! (num!, digits%)
    RoundScientificSingle! = _Round(num! * 10 ^ digits%) / 10 ^ digits%
End Function

' /////////////////////////////////////////////////////////////////////////////
' fantastically inefficient way to set a bit

' example use: arrMaze(iX, iY) = SetBit256%(arrMaze(iX, iY), cS, FALSE)

' See also: GetBit256%, SetBit256%

' newint=SetBit256%(oldint, int containing the bits we want to set, value to set them to)
Function SetBit256% (iNum1 As Integer, iBit1 As Integer, bVal1 As Integer)
    Dim sNum As String
    Dim sBit As String
    Dim sVal As String
    Dim iLoop As Integer
    Dim strResult As String
    Dim iResult As Integer
    Dim iNum As Integer: iNum = iNum1
    Dim iBit As Integer: iBit = iBit1
    Dim bVal As Integer: bVal = bVal1

    If iNum < 256 And iBit <= 128 Then
        sNum = GetBinary$(iNum)
        sBit = GetBinary$(iBit)
        If bVal = TRUE Then
            sVal = "1"
        Else
            sVal = "0"
        End If
        strResult = ""
        For iLoop = 1 To 8
            If Mid$(sBit, iLoop, 1) = "1" Then
                strResult = strResult + sVal
            Else
                strResult = strResult + Mid$(sNum, iLoop, 1)
            End If
        Next iLoop
        iResult = GetIntegerFromBinary%(strResult)
    Else
        iResult = iNum
    End If

    SetBit256% = iResult
End Function ' SetBit256%

' /////////////////////////////////////////////////////////////////////////////

$If  Then
    Sub ShowDegreesAndRadians
    Dim iDegree As Integer
    Dim sngRadian As Single

    DebugPrint "Degree   Radian"
    DebugPrint "------   ------"
    For iDegree = 0 To 360
    sngRadian = _D2R(iDegree)

    'DebugPrint LeftPadString$(cstr$(iDegree), 3, " ") + "   " + LeftPadString$(cstr$(iRadian), 3, " ")

    DebugPrint LeftPadString$(cstr$(iDegree), 3, " ") + "   " + SngToStr$(sngRadian)

    'Print "SngToStr$(MyValue)           =" + SngToStr$(MyValue)
    'Print "SngRoundedToStr$(MyValue, 12)=" + SngRoundedToStr$(MyValue, 12)

    Next iDegree
    End Sub ' ShowDegreesAndRadians
$End If

' /////////////////////////////////////////////////////////////////////////////
' use angles in degrees units instead of radians (converted inside sub)
' Note this function uses whatever the default type is, better not be some Integer Type.

Function SinD (degrees)
    SinD = Sin(_D2R(degrees))
End Function ' SinD

' /////////////////////////////////////////////////////////////////////////////

Function SmallestOf3% (i1%, i2%, i3%)
    Dim iMin%
    iMin% = i1%
    If i2% < iMin% Then iMin% = i2%
    If i3% < iMin% Then iMin% = i3%
    SmallestOf3% = iMin%
End Function ' SmallestOf3

' /////////////////////////////////////////////////////////////////////////////

Function SngRoundedToStr$ (sngValue As Single, intNumPlaces As Integer)
    Dim sngNew As Single
    sngNew = RoundSingle!(sngValue, intNumPlaces)
    SngRoundedToStr$ = SngToStr$(sngNew)
End Function ' SngRoundedToStr$

' /////////////////////////////////////////////////////////////////////////////
' Hack function, to be replaced with something better

Function SngToInt% (sngOld As Single)
    Dim sngNew As Single
    Dim sValue As String
    Dim iPos As Integer

    sngNew = RoundSingle!(sngOld, 0)
    'sValue = _Trim$(Str$(sngNew))

    sValue = SngToStr$(sngNew)

    'iPos = InStr(1, sValue, ".")
    'If iPos > 0 Then
    '    SngToInt% = Val(Left$(sValue, iPos - 1))
    'Else
    '    SngToInt% = Val(sValue)
    'End If

    SngToInt% = Val(sValue)
End Function ' SngToInt%

' /////////////////////////////////////////////////////////////////////////////
' Scientific notation - QB64 Wiki
' https://www.qb64.org/wiki/Scientific_notation

' Example: A string function that displays extremely small or large exponential decimal values.

Function SngToStr$ (n!)
    Dim result$: result$ = ""
    Dim value$
    Dim Xpos%
    Dim expo%
    Dim sign$
    Dim valu$
    Dim dot%
    Dim L%
    Dim add$
    Dim min$
    Dim DP$
    Dim n%

    value$ = UCase$(LTrim$(Str$(n!)))
    Xpos% = InStr(value$, "D") + InStr(value$, "E") ' only D or E can be present
    If Xpos% Then
        expo% = Val(Mid$(value$, Xpos% + 1))
        If Val(value$) < 0 Then
            sign$ = "-"
            valu$ = Mid$(value$, 2, Xpos% - 2)
        Else
            valu$ = Mid$(value$, 1, Xpos% - 1)
        End If
        dot% = InStr(valu$, ".")
        L% = Len(valu$)
        If expo% > 0 Then
            add$ = String$(expo% - (L% - dot%), "0")
        End If
        If expo% < 0 Then
            min$ = String$(Abs(expo%) - (dot% - 1), "0")
            DP$ = "."
        End If
        For n% = 1 To L%
            If Mid$(valu$, n%, 1) <> "." Then
                num$ = num$ + Mid$(valu$, n%, 1)
            End If
        Next n%
        result$ = _Trim$(sign$ + DP$ + min$ + num$ + add$)
    Else
        result$ = value$
    End If

    SngToStr$ = result$
End Function ' SngToStr$

' /////////////////////////////////////////////////////////////////////////////
' Split and join strings
' https://www.qb64.org/forum/index.php?topic=1073.0
'
' FROM luke, QB64 Developer
' Date: February 15, 2019, 04:11:07 AM
'
' Given a string of words separated by spaces (or any other character),
' splits it into an array of the words. I've no doubt many people have
' written a version of this over the years and no doubt there's a million
' ways to do it, but I thought I'd put mine here so we have at least one
' version. There's also a join function that does the opposite
' array -> single string.
'
' Code is hopefully reasonably self explanatory with comments and a little demo.
' Note, this is akin to Python/JavaScript split/join, PHP explode/implode.

'Split in$ into pieces, chopping at every occurrence of delimiter$. Multiple consecutive occurrences
'of delimiter$ are treated as a single instance. The chopped pieces are stored in result$().
'
'delimiter$ must be one character long.
'result$() must have been REDIMmed previously.

' Modified to handle multi-character delimiters

Sub split (in$, delimiter$, result$())
    Dim start As Integer
    Dim finish As Integer
    Dim iDelimLen As Integer
    ReDim result$(-1)

    iDelimLen = Len(delimiter$)

    start = 1
    Do
        'While Mid$(in$, start, 1) = delimiter$
        While Mid$(in$, start, iDelimLen) = delimiter$
            'start = start + 1
            start = start + iDelimLen
            If start > Len(in$) Then
                Exit Sub
            End If
        Wend
        finish = InStr(start, in$, delimiter$)
        If finish = 0 Then
            finish = Len(in$) + 1
        End If

        ReDim _Preserve result$(0 To UBound(result$) + 1)

        result$(UBound(result$)) = Mid$(in$, start, finish - start)
        start = finish + 1
    Loop While start <= Len(in$)
End Sub ' split

' /////////////////////////////////////////////////////////////////////////////

$If  Then
    Sub SplitTest
    Dim in$
    Dim delim$
    ReDim arrTest$(0)
    Dim iLoop%

    delim$ = Chr$(10)
    in$ = "this" + delim$ + "is" + delim$ + "a" + delim$ + "test"
    Print "in$ = " + Chr$(34) + in$ + Chr$(34)
    Print "delim$ = " + Chr$(34) + delim$ + Chr$(34)
    split in$, delim$, arrTest$()

    For iLoop% = LBound(arrTest$) To UBound(arrTest$)
    Print "arrTest$(" + LTrim$(RTrim$(Str$(iLoop%))) + ") = " + Chr$(34) + arrTest$(iLoop%) + Chr$(34)
    Next iLoop%
    Print
    Print "Split test finished."
    End Sub ' SplitTest
$End If

' /////////////////////////////////////////////////////////////////////////////

$If  Then
    Sub SplitAndReplaceTest
    Dim in$
    Dim out$
    Dim iLoop%
    ReDim arrTest$(0)

    Print "-------------------------------------------------------------------------------"
    Print "SplitAndReplaceTest"
    Print

    Print "Original value"
    in$ = "This line 1 " + Chr$(13) + Chr$(10) + "and line 2" + Chr$(10) + "and line 3 " + Chr$(13) + "finally THE END."
    out$ = in$
    out$ = Replace$(out$, Chr$(13), "\r")
    out$ = Replace$(out$, Chr$(10), "\n")
    out$ = Replace$(out$, Chr$(9), "\t")
    Print "in$ = " + Chr$(34) + out$ + Chr$(34)
    Print

    Print "Fixing linebreaks..."
    in$ = Replace$(in$, Chr$(13) + Chr$(10), Chr$(13))
    in$ = Replace$(in$, Chr$(10), Chr$(13))
    out$ = in$
    out$ = Replace$(out$, Chr$(13), "\r")
    out$ = Replace$(out$, Chr$(10), "\n")
    out$ = Replace$(out$, Chr$(9), "\t")
    Print "in$ = " + Chr$(34) + out$ + Chr$(34)
    Print

    Print "Splitting up..."
    split in$, Chr$(13), arrTest$()

    For iLoop% = LBound(arrTest$) To UBound(arrTest$)
    out$ = arrTest$(iLoop%)
    out$ = Replace$(out$, Chr$(13), "\r")
    out$ = Replace$(out$, Chr$(10), "\n")
    out$ = Replace$(out$, Chr$(9), "\t")
    Print "arrTest$(" + cstr$(iLoop%) + ") = " + Chr$(34) + out$ + Chr$(34)
    Next iLoop%
    Print

    Print "SplitAndReplaceTest finished."
    End Sub ' SplitAndReplaceTest
$End If

' /////////////////////////////////////////////////////////////////////////////
' Converts a chr$(13) delimited string
' into a 2-dimensional array.

' Usage:
' Dim StringArray(1 To 48, 1 To 128) As String
' StringTo2dArray StringArray(), GetMap$

' Version 2 with indexed array(row, columm)
' Renamed StringToArray to StringTo2dArray.

' See also: Array2dToString$

Sub StringTo2dArray (MyArray() As String, MyString As String)
    Dim sDelim As String
    ReDim arrLines(0) As String
    Dim iRow As Integer
    Dim iCol As Integer
    Dim sChar As String
    Dim iDim1 As Integer
    Dim iDim2 As Integer
    Dim iIndex1 As Integer
    Dim iIndex2 As Integer

    iDim1 = LBound(MyArray, 1)
    iDim2 = LBound(MyArray, 2)
    sDelim = Chr$(13)
    split MyString, sDelim, arrLines()
    For iRow = LBound(arrLines) To UBound(arrLines)
        If iRow <= UBound(MyArray, 1) Then
            For iCol = 1 To Len(arrLines(iRow))
                If iCol <= UBound(MyArray, 2) Then
                    sChar = Mid$(arrLines(iRow), iCol, 1)

                    If Len(sChar) > 1 Then
                        sChar = Left$(sChar, 1)
                    Else
                        If Len(sChar) = 0 Then
                            sChar = "."
                        End If
                    End If

                    iIndex1 = iRow + iDim1
                    iIndex2 = (iCol - 1) + iDim2
                    MyArray(iIndex1, iIndex2) = sChar
                    'DebugPrint "MyArray(" + cstr$(iIndex1) + ", " + cstr$(iIndex2) + " = " + chr$(34) + sChar + chr$(34)
                Else
                    ' Exit if out of bounds
                    Exit For
                End If
            Next iCol
        Else
            ' Exit if out of bounds
            Exit For
        End If
    Next iRow
End Sub ' StringTo2dArray

' /////////////////////////////////////////////////////////////////////////////

Function StrPadLeft$ (sValue As String, iWidth As Integer)
    StrPadLeft$ = Right$(String$(iWidth, " ") + sValue, iWidth)
End Function ' StrPadLeft$

' /////////////////////////////////////////////////////////////////////////////

Function StrJustifyRight$ (sValue As String, iWidth As Integer)
    StrJustifyRight$ = Right$(String$(iWidth, " ") + sValue, iWidth)
End Function ' StrJustifyRight$

' /////////////////////////////////////////////////////////////////////////////

Function StrPadRight$ (sValue As String, iWidth As Integer)
    StrPadRight$ = Left$(sValue + String$(iWidth, " "), iWidth)
End Function ' StrPadRight$

' /////////////////////////////////////////////////////////////////////////////

Function StrJustifyLeft$ (sValue As String, iWidth As Integer)
    StrJustifyLeft$ = Left$(sValue + String$(iWidth, " "), iWidth)
End Function ' StrJustifyLeft$

' /////////////////////////////////////////////////////////////////////////////
' div: int1% = num1% \ den1%
' mod: rem1% = num1% MOD den1%

Function StrJustifyCenter$ (sValue As String, iWidth As Integer)
    Dim iLen0 As Integer
    Dim iLen1 As Integer
    Dim iLen2 As Integer
    Dim iExtra As Integer

    iLen0 = Len(sValue)
    If iWidth = iLen0 Then
        ' no extra space: return unchanged
        StrJustifyCenter$ = sValue
    ElseIf iWidth > iLen0 Then
        If IsOdd%(iWidth) Then
            iWidth = iWidth - 1
        End If

        ' center
        iExtra = iWidth - iLen0
        iLen1 = iExtra \ 2
        iLen2 = iLen1 + (iExtra Mod 2)
        StrJustifyCenter$ = String$(iLen1, " ") + sValue + String$(iLen2, " ")
    Else
        ' string is too long: truncate
        StrJustifyCenter$ = Left$(sValue, iWidth)
    End If
End Function ' StrJustifyCenter$

' /////////////////////////////////////////////////////////////////////////////
' Use to pretty print TRUE and FALSE values.

Function TrueFalse$ (myValue)
    If myValue = TRUE Then
        TrueFalse$ = "TRUE"
    Else
        TrueFalse$ = "FALSE"
    End If
End Function ' TrueFalse$

' /////////////////////////////////////////////////////////////////////////////

' ################################################################################################################################################################
' END GENERAL PURPOSE ROUTINES @GEN
' ################################################################################################################################################################

' ################################################################################################################################################################
' BEGIN REFERENCE #REF
' ################################################################################################################################################################

' =============================================================================
' SOME USEFUL STUFF FOR REFERENCE:

' Type Name               Type suffix symbol   Minimum value                  Maximum value                Size in Bytes
' ---------------------   ------------------   ----------------------------   --------------------------   -------------
' _BIT                    `                    -1                             0                            1/8
' _BIT * n                `n                   -128                           127                          n/8
' _UNSIGNED _BIT          ~`                   0                              1                            1/8
' _BYTE                   %%                   -128                           127                          1
' _UNSIGNED _BYTE         ~%%                  0                              255                          1
' INTEGER                 %                    -32,768                        32,767                       2
' _UNSIGNED INTEGER       ~%                   0                              65,535                       2
' LONG                    &                    -2,147,483,648                 2,147,483,647                4
' _UNSIGNED LONG          ~&                   0                              4,294,967,295                4
' _INTEGER64              &&                   -9,223,372,036,854,775,808     9,223,372,036,854,775,807    8
' _UNSIGNED _INTEGER64    ~&&                  0                              18,446,744,073,709,551,615   8
' SINGLE                  ! or none            -2.802597E-45                  +3.402823E+38                4
' DOUBLE                  #                    -4.490656458412465E-324        +1.797693134862310E+308      8
' _FLOAT                  ##                   -1.18E-4932                    +1.18E+4932                  32(10 used)
' _OFFSET                 %&                   -9,223,372,036,854,775,808     9,223,372,036,854,775,807    Use LEN
' _UNSIGNED _OFFSET       ~%&                  0                              18,446,744,073,709,551,615   Use LEN
' _MEM                    none                 combined memory variable type  N/A                          Use LEN

' div: int1% = num1% \ den1%
' mod: rem1% = num1% MOD den1%

' Screen _NewImage(1024, 768, 32): _ScreenMove 0, 0
' iCols = _Width(0) \ _FontWidth
' iRows = _Height(0) \ _FontHeight
' Print "_Width(0)  =" + _Trim$(Str$(_Width(0)))
' Print "_Height(0) =" + _Trim$(Str$(_Height(0)))
' Print "_FontWidth =" + _Trim$(Str$(_FontWidth))
' Print "_FontHeight=" + _Trim$(Str$(_FontHeight))
' Print "iCols = _Width(0)  \ _FontWidth  = " + _Trim$(Str$(iCols))
' Print "iRows = _Height(0) \ _FontHeight = " + _Trim$(Str$(iRows))

$If  Then
    'Pete:
    'Oh, does anyone else like how using $IF/THEN works as a block REM statement?
    'I mean I'd rather we had a QB64 block remark statement like the one used for JavaScript, but thi hack will do.
$End If

' ################################################################################################################################################################
' END REFERENCE @REF
' ################################################################################################################################################################

'#END
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Messages In This Thread
efficient way to compare 2 images? - by madscijr - 11-18-2022, 07:51 PM
RE: efficient way to compare 2 images? - by bplus - 11-18-2022, 08:10 PM
RE: efficient way to compare 2 images? - by Pete - 11-18-2022, 08:26 PM
RE: efficient way to compare 2 images? - by madscijr - 11-18-2022, 08:41 PM
RE: efficient way to compare 2 images? - by Pete - 11-18-2022, 08:55 PM
RE: efficient way to compare 2 images? - by Pete - 11-18-2022, 09:30 PM
RE: efficient way to compare 2 images? - by Pete - 11-18-2022, 09:52 PM
RE: efficient way to compare 2 images? - by Pete - 11-18-2022, 11:08 PM
RE: efficient way to compare 2 images? - by bplus - 11-18-2022, 11:40 PM
RE: efficient way to compare 2 images? - by bplus - 11-19-2022, 12:22 AM
RE: efficient way to compare 2 images? - by bplus - 11-19-2022, 01:22 AM
RE: efficient way to compare 2 images? - by bplus - 11-19-2022, 05:39 PM
RE: efficient way to compare 2 images? - by bplus - 11-19-2022, 06:28 PM
RE: efficient way to compare 2 images? - by bplus - 11-19-2022, 10:54 PM
RE: efficient way to compare 2 images? - by bplus - 11-19-2022, 11:54 PM
RE: efficient way to compare 2 images? - by bplus - 11-19-2022, 11:57 PM
RE: efficient way to compare 2 images? - by bplus - 11-20-2022, 12:02 AM
RE: efficient way to compare 2 images? - by bplus - 11-20-2022, 12:14 AM
RE: efficient way to compare 2 images? - by bplus - 11-20-2022, 12:36 AM
RE: efficient way to compare 2 images? - by bplus - 11-20-2022, 02:37 AM



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