# Algorithm to Switch Between RGB and HSB Color Values

First, declare some types:

``Type RGBColor     Red As Byte     Green As Byte     Blue As ByteEnd TypeType HSBColor     Hue As Double     Saturation As Double     Brightness As DoubleEnd Type``

Next, here’s a brief pseudocode explanation of the procedure used by the RGB-to-HSB algorithm:

``Set a Delta variable equal to [Max(r,g,b) - Min(r,g,b)]* Then Brightness = Max(r,g,b) * 100 / 255* If the color is (00,00,00) (black), then Saturation = 0, and h = -1; otherwise:   Saturation = 255 * Delta / Max(r,g,b)   Case Max(r,g,b) is equal to the value of                + Red : Set h = (Green - Blue) / Delta                + Green : h = 2 + (Blue - Red) / Delta                + Blue : h = 4 + (Red - Green) / Delta     * Hue = h * 60 , if h small then 0 , we have Hue = h + 360``

Now, here’s the VB code for the RGB-to-HSB conversion:

``Function RGBToHSB(rgb As RGBColor) As HSBColorDim minRGB, maxRGB, Delta As DoubleDim h, s, b As Double     h = 0     minRGB = Min(Min(rgb.Red, rgb.Green), rgb.Blue)     maxRGB = Max(Max(rgb.Red, rgb.Green), rgb.Blue)     Delta = (maxRGB - minRGB)     b = maxRGB     If (maxRGB <> 0) Then          s = 255 * Delta / maxRGB     Else          s = 0     End If     If (s <> 0) Then          If rgb.Red = maxRGB Then               h = (CDbl(rgb.Green) - CDbl(rgb.Blue)) / Delta          Else               If rgb.Green = maxRGB Then                    h = 2 + (CDbl(rgb.Blue) - CDbl(rgb.Red)) / Delta               Else                    If rgb.Blue = maxRGB Then                         h = 4 + (CDbl(rgb.Red) - CDbl(rgb.Green)) / Delta                    End If               End If          End If     Else          h = -1     End If     h = h * 60     If h < 0 Then h = h + 360     RGBToHSB.Hue = h     RGBToHSB.Saturation = s * 100 / 255     RGBToHSB.Brightness = b * 100 / 255End Function``

Of course, you also need to go the other direction, changing from HSB to RGB.Note that:

1. When Max = Red, abs((Green - Blue) / Delta) is always smaller than 1, or -1 < (Green - Blue) / Delta.
2. When Max = Green, abs((Blue - Red) / Delta) is always smaller than 1, or 1 < 2 + (Blue - Red) / Delta <3.
3. When Max = Blue, abs((Red - Green) / Delta) is always smaller than 1, or 3 < 4 + (Red - Green) / Delta <5.

So, in pseudocode, the procedure is:

``Set h = Hue / 60    * Then s = Saturation * 255 / 100    * And b = Brightness * 255 / 100    * Max(r,g,b) will equal b.    * If s = 0  then the color is black (00,00,00), otherwise:          - Set Delta = s * Max(r,g,b) / 255          - Compare the value of h with 3,1,-1 in turn to find out the Values of Red, Green and Blue.``

In VB6, the HSB-to-RGB algorithm looks like this:

``Function HSBToRGB(hsb As HSBColor) As RGBColorDim maxRGB, Delta As DoubleDim h, s, b As Double     h = hsb.Hue / 60     s = hsb.Saturation * 255 / 100     b = hsb.Brightness * 255 / 100     maxRGB = b     If s = 0 Then          HSBToRGB.Red = 0          HSBToRGB.Green = 0          HSBToRGB.Blue = 0     Else          Delta = s * maxRGB / 255          If h > 3 Then               HSBToRGB.Blue = CByte(Round(maxRGB))               If h > 4 Then                    HSBToRGB.Green = CByte(Round(maxRGB - Delta))                    HSBToRGB.Red = CByte(Round((h - 4) * Delta)) + HSBToRGB.Green               Else                    HSBToRGB.Red = CByte(Round(maxRGB - Delta))                    HSBToRGB.Green = CByte(HSBToRGB.Red - Round((h - 4) * Delta))               End If          Else               If h > 1 Then                    HSBToRGB.Green = CByte(Round(maxRGB))                    If h > 2 Then                         HSBToRGB.Red = CByte(Round(maxRGB - Delta))                         HSBToRGB.Blue = CByte(Round((h - 2) * Delta)) + HSBToRGB.Red                    Else                         HSBToRGB.Blue = CByte(Round(maxRGB - Delta))                         HSBToRGB.Red = CByte(HSBToRGB.Blue - Round((h - 2) * Delta))                    End If               Else                    If h > -1 Then                         HSBToRGB.Red = CByte(Round(maxRGB))                         If h > 0 Then                              HSBToRGB.Blue = CByte(Round(maxRGB - Delta))                              HSBToRGB.Green = CByte(Round(h * Delta)) + HSBToRGB.Blue                         Else                              HSBToRGB.Green = CByte(Round(maxRGB - Delta))                              HSBToRGB.Blue = CByte(HSBToRGB.Green - Round(h * Delta))                         End If                    End If               End If          End If     End IfEnd Function``

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