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The beauty / magic of math (Vol. 1 - 12)


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On 1/3/2022 at 11:12 AM, Somerset said:

I love some of the fractal patterns that define chaos, but are really orderly if looked at closely. :)

 

Thanks for your feedback. :)

If you can describe fractals with math, then imho it is somehow ordered, unless you work with randomness (random numbers).

Please don't send me any personal message and ask for support! I will not reply!

Selection of finest graphical examples at Codepen.io

The own fart smells best!
Her 'sikim hıyar' diyene bir avuç tuz alıp koşma!
¯\_(ツ)_/¯  ٩(●̮̮̃•̃)۶ ٩(-̮̮̃-̃)۶ૐ

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Also named the magic of UEZ 🧙‍♂️ Amazing thanks  for sharing 

 

Saludos

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14 hours ago, Danyfirex said:

Also named the magic of UEZ 🧙‍♂️ Amazing thanks  for sharing 

 

Saludos

You are welcome.

 

By a mistake Vol. 5 and Vol. 10 are the same. I updated the archive and added a few examples to Vol. 12 not to change the whole topic description...

Please don't send me any personal message and ask for support! I will not reply!

Selection of finest graphical examples at Codepen.io

The own fart smells best!
Her 'sikim hıyar' diyene bir avuç tuz alıp koşma!
¯\_(ツ)_/¯  ٩(●̮̮̃•̃)۶ ٩(-̮̮̃-̃)۶ૐ

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$aPosWin[0] + $aPosWin[2] - 10 $iNewX = $iNewX1 If $iNewX1 < $aFullScreen[0] Then $iNewX = $iNewX2 EndIf WinMove($hGui_Preview, "", $iNewX, $aPosWin[1] + 50) GUISetState(@SW_SHOWNOACTIVATE, $hGui_Preview) EndFunc ;==>ShowPreview Func _GetImage($sFile, $iWH, $iBkClr = 0xFFFFFF, $bCheckerboard_Bg = True) Local $hBmp1, $hBitmap, $hGraphic, $hImage, $iW, $iH, $aGS, $hBmp2, $aFTS $aFTS = FileGetTime($sFile) If @error Then Return SetError(1, 0, 0) $hBmp1 = _WinAPI_CreateBitmap($iWH, $iWH, 1, 32) $hBitmap = _GDIPlus_BitmapCreateFromHBITMAP($hBmp1) $hGraphic = _GDIPlus_ImageGetGraphicsContext($hBitmap) _WinAPI_DeleteObject($hBmp1) $hImage = _GDIPlus_ImageLoadFromFile($sFile) $iW = _GDIPlus_ImageGetWidth($hImage) $iH = _GDIPlus_ImageGetHeight($hImage) GUICtrlSetData($idLabel_Info, StringRegExpReplace($sFile, ".*\\(.*)", "$1") & @LF & Round(FileGetSize($sFile) / 1024, 0) & " kb (" & $iW & " x " & $iH & ")" & @LF & $aFTS[0] & "/" & $aFTS[1] & "/" & $aFTS[2] & " " & $aFTS[3] & ":" & $aFTS[4] & ":" & $aFTS[5] & @LF & "Alpha: " & $bIsAlpha & ", Gray: " & $bIsGray) $aGS = _GetScale($iW, $iH, $iWH) Switch $bCheckerboard_Bg Case True ;~ _GDIPlus_GraphicsFillRect($hGraphic, 0, 0, $iWH, $iWH, $hTexture_Checkerboard) _GDIPlus_GraphicsClear($hGraphic, BitOR(0xFF000000, $iBkClr)) _GDIPlus_GraphicsFillRect($hGraphic, $aGS[0], $aGS[1], $aGS[2], $aGS[3], $hTexture_Checkerboard) Case False _GDIPlus_GraphicsClear($hGraphic, BitOR(0xFF000000, $iBkClr)) EndSwitch _GDIPlus_GraphicsDrawImageRect($hGraphic, $hImage, $aGS[0], $aGS[1], $aGS[2], $aGS[3]) _GDIPlus_ImageDispose($hImage) _GDIPlus_GraphicsDispose($hGraphic) $hBmp2 = _GDIPlus_BitmapCreateHBITMAPFromBitmap($hBitmap) _GDIPlus_BitmapDispose($hBitmap) Return $hBmp2 EndFunc ;==>_GetImage Func _GetScale($iW, $iH, $iWH) Local $aRet[4] If $iW <= $iWH And $iH <= $iWH Then $aRet[2] = $iW $aRet[3] = $iH $aRet[0] = ($iWH - $aRet[2]) / 2 $aRet[1] = ($iWH - $aRet[3]) / 2 ElseIf $iW > $iH Then $aRet[2] = $iWH $aRet[3] = $iH / ($iW / $iWH) $aRet[0] = 0 $aRet[1] = ($iWH - $aRet[3]) / 2 ElseIf $iW < $iH Then $aRet[2] = $iW / ($iH / $iWH) $aRet[3] = $iWH $aRet[0] = ($iWH - $aRet[2]) / 2 $aRet[1] = 0 ElseIf $iW = $iH Then $aRet[2] = $iWH $aRet[3] = $iWH $aRet[0] = 0 $aRet[1] = 0 EndIf Return $aRet EndFunc ;==>_GetScale Func _hBmpToPicControl($iCID, ByRef $hBmp, $iFlag = 0) Local $hOldBmp $hOldBmp = GUICtrlSendMsg($iCID, $STM_SETIMAGE, $IMAGE_BITMAP, $hBmp) If $hOldBmp Then _WinAPI_DeleteObject($hOldBmp) If $iFlag Then _WinAPI_DeleteObject($hBmp) EndFunc ;==>_hBmpToPicControl Func _GDIPlus_CreateHistogram($sRounding = "Ceiling") Local $iMaxL, $iMaxC, $iMaxR, $iMaxG, $iMaxB, $a, $r, $g, $b, $yR, $yG, $yB, $iRedAv, $iGreenAv, $iBlueAv For $i = 1 + $bIsAlpha To 256 If $bIsAlpha Then ;~ ConsoleWrite("Alpha: " & DllStructGetData($tStructChannel0, "channel0", $i) & @CRLF) $r = DllStructGetData($tStructChannel1, "channel1", $i) $yR = $r * $frY If DllStructGetData($tStructChannel1 , "channel1", $i) > $iMaxR Then $iMaxR = $r $g = DllStructGetData($tStructChannel2, "channel2", $i) $yG = $g * $fgY If DllStructGetData($tStructChannel2 , "channel2", $i) > $iMaxG Then $iMaxG = $g $b = DllStructGetData($tStructChannel3, "channel3", $i) $yB = $b * $fbY If DllStructGetData($tStructChannel3 , "channel3", $i) > $iMaxB Then $iMaxB = $b $fAverage_cRGB += $r + $g + $b $fAverage_L += $yR + $yG + $yB Else $r = DllStructGetData($tStructChannel0, "channel0", $i) $yR = $r * $frY If DllStructGetData($tStructChannel0 , "channel0", $i) > $iMaxR Then $iMaxR = $r $g = DllStructGetData($tStructChannel1, "channel1", $i) $yG = $g * $fgY If DllStructGetData($tStructChannel1 , "channel1", $i) > $iMaxG Then $iMaxG = $g $b = DllStructGetData($tStructChannel2, "channel2", $i) $yB = $b * $fbY If DllStructGetData($tStructChannel2 , "channel2", $i) > $iMaxB Then $iMaxB = $b EndIf $fAverage_cRGB += $r + $g + $b $fAverage_L += $yR + $yG + $yB $aLuminosity[$i] = $yR + $yG + $yB If $aLuminosity[$i] > $iMaxL Then $iMaxL = $aLuminosity[$i] $aCRGB[$i] = ($r + $g + $b) / 3 If $aCRGB[$i] > $iMaxC Then $iMaxC = $aCRGB[$i] Next $fAverage_cRGB /= 256 * 3 $fAverage_L /= 256 _GDIPlus_GraphicsClear($hCtxt_HL, 0xFFFFFFFF) _GDIPlus_GraphicsClear($hCtxt_HC, 0xFFFFFFFF) _GDIPlus_GraphicsClear($hCtxt_HR, 0xFFFFFFFF) _GDIPlus_GraphicsClear($hCtxt_HG, 0xFFFFFFFF) _GDIPlus_GraphicsClear($hCtxt_HB, 0xFFFFFFFF) Local $iDL = 1, $iDC = 1, $iDR = 1, $iDG = 1, $iDB = 1 Local $sRoundings = "Round,Ceiling,Floor," If Not StringInStr($sRoundings, $sRounding) Then $sRounding = "Ceiling" If $iMaxL > 128 Then ;~ $iDL = Ceiling($iMaxL / 128) $iDL = Execute($sRounding & "(" & $iMaxL / 128 & ")") Else $iDL = 1 / (128 / $iMaxL) EndIf If $iMaxC > 128 Then ;~ $iDC = Ceiling($iMaxC / 128) $iDC = Execute($sRounding & "(" & $iMaxC / 128 & ")") Else $iDC = 1 / (128 / $iMaxC) EndIf If $iMaxR > 128 Then ;~ $iDR = Ceiling($iMaxR / 128) $iDR = Execute($sRounding & "(" & $iMaxR / 128 & ")") Else $iDR = 1 / (128 / $iMaxR) EndIf If $iMaxG > 128 Then ;~ $iDG = Ceiling($iMaxG / 128) $iDG = Execute($sRounding & "(" & $iMaxG / 128 & ")") Else $iDG = 1 / (128 / $iMaxG) EndIf If $iMaxB > 128 Then ;~ $iDB = Ceiling($iMaxB / 128) $iDB = Execute($sRounding & "(" & $iMaxB / 128 & ")") Else $iDB = 1 / (128 / $iMaxB) EndIf For $i = 1 To 256 _GDIPlus_PenSetColor($hPen_H, 0xFF000000) _GDIPlus_GraphicsDrawLine($hCtxt_HL, $i - 1, 127, $i - 1, 127 - (Int($aLuminosity[$i] / $iDL)), $hPen_H) _GDIPlus_PenSetColor($hPen_H, 0xFF000000) _GDIPlus_GraphicsDrawLine($hCtxt_HC, $i - 1, 127, $i - 1, 127 - (Int($aCRGB[$i] / $iDC)), $hPen_H) _GDIPlus_PenSetColor($hPen_H, 0xFFB00000) If $bIsAlpha Then _GDIPlus_GraphicsDrawLine($hCtxt_HR, $i - 1, 127, $i - 1, 127 - (Int(DllStructGetData($tStructChannel1, "channel1", $i) / $iDR)), $hPen_H) _GDIPlus_PenSetColor($hPen_H, 0xFF00B000) _GDIPlus_GraphicsDrawLine($hCtxt_HG, $i - 1, 127, $i - 1, 127 - (Int(DllStructGetData($tStructChannel2, "channel2", $i) / $iDG)), $hPen_H) _GDIPlus_PenSetColor($hPen_H, 0xFF0000B0) _GDIPlus_GraphicsDrawLine($hCtxt_HB, $i - 1, 127, $i - 1, 127 - (Int(DllStructGetData($tStructChannel3, "channel3", $i) / $iDB)), $hPen_H) Else _GDIPlus_GraphicsDrawLine($hCtxt_HR, $i - 1, 127, $i - 1, 127 - (Int(DllStructGetData($tStructChannel0, "channel0", $i) / $iDR)), $hPen_H) _GDIPlus_PenSetColor($hPen_H, 0xFF00B000) _GDIPlus_GraphicsDrawLine($hCtxt_HG, $i - 1, 127, $i - 1, 127 - (Int(DllStructGetData($tStructChannel1, "channel1", $i) / $iDG)), $hPen_H) _GDIPlus_PenSetColor($hPen_H, 0xFF0000B0) _GDIPlus_GraphicsDrawLine($hCtxt_HB, $i - 1, 127, $i - 1, 127 - (Int(DllStructGetData($tStructChannel2, "channel2", $i) / $iDB)), $hPen_H) EndIf Next EndFunc ;==>_GDIPlus_CreateHistogram Func _GDIPlus_CreateColorGradient($sColorChannel, $iW, $iH, $bHBitmap = True) Local $hBitmap = _GDIPlus_BitmapCreateFromScan0($iW, $iH) Local $hCtxt = _GDIPlus_ImageGetGraphicsContext($hBitmap) ;~ _GDIPlus_GraphicsSetSmoothingMode($hCtxt, 2) Local $hPen = _GDIPlus_PenCreate() _GDIPlus_PenSetLineJoin($hPen, $iLineJoinBevel) Local $i, $c For $i = 0 To $iW $c = Hex($i, 2) Switch $sColorChannel Case "L" _GDIPlus_PenSetColor($hPen, "0xFF" & $c & $c & $c) Case "C" _GDIPlus_PenSetColor($hPen, "0xFF" & $c & $c & $c) Case "R" _GDIPlus_PenSetColor($hPen, "0xFF" & $c & "0000") Case "G" _GDIPlus_PenSetColor($hPen, "0xFF00" & $c & "00") Case "B" _GDIPlus_PenSetColor($hPen, "0xFF0000" & $c) EndSwitch _GDIPlus_GraphicsDrawLine($hCtxt, $i, 0, $i, $iH, $hPen) Next _GDIPlus_GraphicsDispose($hCtxt) _GDIPlus_PenDispose($hPen) If $bHBitmap Then Local $hHBmp = _GDIPlus_BitmapCreateHBITMAPFromBitmap($hBitmap) _GDIPlus_BitmapDispose($hBitmap) Return $hHBmp EndIf Return $hBitmap EndFunc ;==>_GDIPlus_CreateColorGradient Func _GDIPlus_CreateCheckerboardTexture($iSquareSize = 80, $iCol1 = 0xFFECECEC, $iCol2 = 0xFFDFDFDF) Local $hPatternBitmap = _GDIPlus_BitmapCreateFromScan0(2 * $iSquareSize, 2 * $iSquareSize) Local $hCtxt = _GDIPlus_ImageGetGraphicsContext($hPatternBitmap) Local $hBrush0 = _GDIPlus_BrushCreateSolid($iCol1) Local $hBrush1 = _GDIPlus_BrushCreateSolid($iCol2) _GDIPlus_GraphicsFillRect($hCtxt, 0, 0, $iSquareSize, $iSquareSize, $hBrush0) _GDIPlus_GraphicsFillRect($hCtxt, $iSquareSize, 0, $iSquareSize, $iSquareSize, $hBrush1) _GDIPlus_GraphicsFillRect($hCtxt, 0, $iSquareSize, $iSquareSize, $iSquareSize, $hBrush1) _GDIPlus_GraphicsFillRect($hCtxt, $iSquareSize, $iSquareSize, $iSquareSize, $iSquareSize, $hBrush0) Local $hTexture = _GDIPlus_TextureCreate($hPatternBitmap) _GDIPlus_GraphicsDispose($hCtxt) _GDIPlus_BitmapDispose($hPatternBitmap) _GDIPlus_BitmapDispose($hBrush0) _GDIPlus_BitmapDispose($hBrush1) Return $hTexture EndFunc ;==>_CreatePatternTexture  
      GdipBitmapGetHistogram(), GdipBitmapGetHistogramSize() and 2 more GDI+ functions requires GDI+ v1.1 which means this will only run on Vista or higher operating systems.
      I hope the values are correct especially the value for luminosity.
      Br,
      UEZ
    • By MrCheese
      hi all,
      Dumb question, but say I have a loop:
      dim $i Do     sleep(1000)          if $i = ; how do i do a function that enters this IF statement every 10 loops?         ; do stuff every 10     EndIf      Until $i = 100  
      - what commands in the if statement do I need to use to make it pass, and on every 10th loop, it enters the if statement. ?
       
      Thanks
    • By Miliardsto
      Hello I have problem with my object drawn in gdi
      Func drawTriangle($tabName,$gui_active = 0) _GDIPlus_Startup() ;initialize GDI+ Local $hGraphics = _GDIPlus_GraphicsCreateFromHWND($sGUI[$gui_active]) ;create a graphics object from a window handle _GDIPlus_GraphicsSetSmoothingMode($hGraphics, $GDIP_SMOOTHINGMODE_HIGHQUALITY) ;sets the graphics object rendering quality (antialiasing) Local $hBrush = _GDIPlus_BrushCreateSolid(0xFFEFEFEF) ;color format AARRGGBB (hex) Local $aPoints[5][3] $aPoints[0][0] = 4 $aPoints[1][0] = 0.0 ; left $aPoints[1][1] = 0.0 ; top $aPoints[2][0] = 0.0 ; left $aPoints[2][1] = 30.0 ; top $aPoints[3][0] = 80.0 ; left $aPoints[3][1] = 30.0 ; top $aPoints[4][0] = 110.0 ; left $aPoints[4][1] = 0.0 ; top _GDIPlus_GraphicsFillPolygon($hGraphics, $aPoints, $hBrush) ;draw the triangle Local $fBrush = _GDIPlus_BrushCreateSolid(0xFFAAAAAA) ;color format AARRGGBB (hex) Local $sString = $tabName, $aInfo ; from the func param Local $hFormat, $hFamily, $hFont, $tLayout $hFormat = _GDIPlus_StringFormatCreate() $hFamily = _GDIPlus_FontFamilyCreate("Segoe UI") $hFont = _GDIPlus_FontCreate($hFamily, 12, 2) $tLayout = _GDIPlus_RectFCreate(6, 2) $aInfo = _GDIPlus_GraphicsMeasureString($hGraphics, $sString, $hFont, $tLayout, $hFormat) _GDIPlus_GraphicsDrawStringEx($hGraphics, $sString, $hFont, $aInfo[0], $hFormat, $fBrush) ;_GDIPlus_GraphicsDrawString($hGraphics, $tabName, 6, 3, "Segoe UI", 12) ; write text ;cleanup GDI+ resources _GDIPlus_FontDispose($hFont) _GDIPlus_FontFamilyDispose($hFamily) _GDIPlus_StringFormatDispose($hFormat) _GDIPlus_BrushDispose($hBrush) _GDIPlus_GraphicsDispose($hGraphics) _GDIPlus_Shutdown() EndFunc After this code execution I got new object rectangle
      Global $ma_border = GUICtrlCreateGraphic(100, 180, 40, 40) GUICtrlSetGraphic($ma_border, $GUI_GR_COLOR, 0x00000, $COLOR_BLUE) GUICtrlSetGraphic($ma_border, $GUI_GR_RECT, 0, 0, 40, 40) GUICtrlSetState(-1,$GUI_DISABLE) And what happens is first func = draw rectangle is pushed to parameters from GUICtrlCreateGraphic func. Left: 100, Top: 180.
      I can simplu reverse order of these func execution but There is too much things to change in my code.
      Can something be done to prevent this slipping?
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