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spudw2k

Map Index to 2D Array

3 posts in this topic

#1 ·  Posted (edited)

I was reading a recent post about converting a 2D array into a 1D array.  The OP, from my understanding, more-or-less wanted to extract a single column of data and format it in a 1D array.  The solutions were proper and efficient compared to what I wanted to share, but I figured I'd share as it's a good lesson and a neat, purely mathematical approach to mapping an index to a 2D array.  As-is, this only works for 2D arrays.  

By knowing how big a 2D array is, an index can be calculated for each indices/subscript.  The functions below define a random sized 2D array, and calculate an index that matches the indices on the 2D array.

#include "Array.au3"
$iRow = Random(2,10,1)
$iCol = Random(2,10,1)
$iRandomIndex = Random(0,($iRow*$iCol)-1,1)

$sIndicies = _IndexTo2DIndicies($iRandomIndex, $iRow, $iCol)
_2DArrayTo1DIndexes($iRow, $iCol, $iRandomIndex & " = $aArr" & $sIndicies)


Func _2DArrayTo1DIndexes($iRow = 1, $iCol = 1, $sMsg = Default)
    $iRow = Int($iRow)
    $iCOl = Int($iCol)
    Local $aData[$iRow][$iCol]

    For $iY = 0 to $iRow - 1
        For $iX = 0 to $iCol - 1
            Local $iIndex
            ;Index = ($iColMax * $iY) + $iX
            $aData[$iY][$iX] = ($iCol * $iY) + $iX
        Next
    Next

    If $sMsg = Default Then $sMsg = "1D Indexes of 2D Array Indicies"
    _ArrayDisplay($aData,$sMsg)
EndFunc

Func _IndexTo2DIndicies($iIndex = 0, $iRow = 0, $iCol = 0)
    $iIndex = Int($iIndex)
    $iRow = Int($iRow)
    $iCol = Int($iCol)

    If $iIndex = 0 Then Return "[0][0]"
    If $iIndex >= $iRow * $iCol Then Return SetError(1,0,0)

    Local $iX = Mod($iIndex, $iCol)
    ;Local $iY = ($iIndex-$iX) / $iCol
    Local $iY = Int($iIndex / $iCol)    ;Thanks Chimp

    Return "[" & $iY & "][" & $iX & "]"
EndFunc

I used this type of approach before with a pixel array.  I had a 1D array for storing individual pixel information, then mapped the pixels to an X|Y grid (2D array or XY coords).

Now if the purpose is just to flatten an array, the most efficient way I am aware of would be to create a new 1D array the size of the total number of indices in the 2D array (RowMax * ColMax), and loop through the array.  I suppose these methods (above) would be particularly useful if you need to randomly or programmatically access indices in a non-linear fashion.

Anyways, just wanted to share a fun exercise with arrays.

Edited by spudw2k

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#2 ·  Posted

$iY can also be calculated like this:

Local $iY = Int($iIndex / $iCol)

 

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"V", "V", "V", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "R", "V", "V", "V", "V", "W", "W", "W", "W", "W", "W", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "R", "V", "V", "V", "V", "W", "W", "W", "W", "W", "W", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "R", "L", "L", "L", "L", "W", "W", "W", "W", "W", "W", "L", "L", "L", "V", "V", "V", "L", "L", "L", "L", "L", "L", "L", "L", "L", "L", "L", "L", "L", "L", "L", "L", "L", "L", "L", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "R", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "X", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "R", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "R", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "T", "T", "T", "T", "T", "T", "T", "T", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "T", "T", "T", "T", "T", "T", "T", "T", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T"], _ ["R", "R", "R", "R", "R", "R", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "V", "V", "V", "V", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T", "T"]] Local $aArrayInArray = ArrayInArray($aArrayToSearch, $aArrayToFind) If (@Error) Then MsgBox("", "Error", "Error doing search: " & @Error) Else If ($aArrayInArray[0] = 1) Then ToolTip("Start Coords = " & $aArrayInArray[1] & ", " & $aArrayInArray[2] & @LF & _ "End Coords = " & $aArrayInArray[1] + UBound($aArrayToFind, $UBOUND_ROWS) - 1 & ", " & $aArrayInArray[2] + UBound($aArrayToFind, $UBOUND_COLUMNS) - 1 & @LF & _ "(Approx) Center coords = " & $aArrayInArray[1] + Int(UBound($aArrayToFind, $UBOUND_ROWS) / 2) & ", " & $aArrayInArray[2] + Int(UBound($aArrayToFind, $UBOUND_COLUMNS) / 2), 0, 0) $aArrayToSearch[$aArrayInArray[1]][$aArrayInArray[2]] = "Start" $aArrayToSearch[$aArrayInArray[1] + UBound($aArrayToFind, $UBOUND_ROWS) - 1][$aArrayInArray[2] + UBound($aArrayToFind, $UBOUND_COLUMNS) - 1] = "End" $aArrayToSearch[$aArrayInArray[1] + Int(UBound($aArrayToFind, $UBOUND_ROWS) / 2)][$aArrayInArray[2] + Int(UBound($aArrayToFind, $UBOUND_COLUMNS) / 2)] = "(Approx) Center" _ArrayDisplay($aArrayToSearch, "ArrayInArray") ElseIf ($aArrayInArray[0] > 1) Then MsgBox("", "Multiple Matches", "Multiple Matches Found For Search") Else MsgBox("", "No Matches", "No Matches Found For Search") EndIf EndIf EndFunc ;==>Start Func ArrayInArray($aArrayToSearch, $aArrayToFind) Local $aReturn[3] = [0, -1, -1] If (Not IsArray($aArrayToSearch)) Then Return SetError(1, 0, $aReturn) If (Not IsArray($aArrayToFind)) Then Return SetError(2, 0, $aReturn) Local $iRowsToSearch = UBound($aArrayToSearch, $UBOUND_ROWS) Local $iColumnsToSearch = UBound($aArrayToSearch, $UBOUND_COLUMNS) Local $iRowsToFind = UBound($aArrayToFind, $UBOUND_ROWS) Local $iColumnsToFind = UBound($aArrayToFind, $UBOUND_COLUMNS) If ($iRowsToFind > $iRowsToSearch) Then Return SetError(3, 0, $aReturn) If ($iColumnsToFind > $iColumnsToSearch) Then Return SetError(4, 0, $aReturn) For $iRow = 0 To $iRowsToSearch - $iRowsToFind For $iColumn = 0 To $iColumnsToSearch - $iColumnsToFind Local $bValid = False For $i = 0 To $iRowsToFind - 1 For $p = 0 To $iColumnsToFind - 1 If ($aArrayToFind[$i][$p] = "" Or $aArrayToFind[$i][$p] = $aArrayToSearch[$iRow + $i][$iColumn + $p]) Then $bValid = True Else $bValid = False ExitLoop 2 EndIf Next Next If ($bValid) Then ; Number of valid results found $aReturn[0] += 1 ; row of the last valid result found $aReturn[1] = $iRow ; column of the last valid result found $aReturn[2] = $iColumn EndIf Next Next Return $aReturn EndFunc ;==>ArrayInArray ArrayInArray Returns an array: [0] = number of results found, [1] = row of the last valid result found, [2] = column of the last valid result found
    • distancesprinter
      By distancesprinter
      _ArrayDisplay($aArray, "Window Title", "1:", 0, Default, "Column") ; Expected results are rows 1 to the end of the array, all columns. The result is rows 0-1, all columns. The API reference is here:
      https://www.autoitscript.com/autoit3/docs/libfunctions/_ArrayDisplay.htm
       
      Am I doing something wrong?