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c# - How do I determine darker or lighter color variant of a given color?

Given a source color of any hue by the system or user, I'd like a simple algorithm I can use to work out a lighter or darker variants of the selected color. Similar to effects used on Windows Live Messenger for styling the user interface.

Language is C# with .net 3.5.

Responding to comment: Color format is (Alpha)RGB. With values as bytes or floats.

Marking answer: For the context of my use (a few simple UI effects), the answer I'm marking as accepted is actually the most simple for this context. However, I've given up votes to the more complex and accurate answers too. Anyone doing more advanced color operations and finding this thread in future should definitely check those out. Thanks SO. :)

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In XNA there is the Color.Lerp static method that does this as the difference between two colours.

Lerp is a mathematical operation between two floats that changes the value of the first by a ratio of the difference between them.

Here's an extension method to do it to a float:

public static float Lerp( this float start, float end, float amount)
{
    float difference = end - start;
    float adjusted = difference * amount;
    return start + adjusted;
}

So then a simple lerp operation between two colours using RGB would be:

public static Color Lerp(this Color colour, Color to, float amount)
{
    // start colours as lerp-able floats
    float sr = colour.R, sg = colour.G, sb = colour.B;

    // end colours as lerp-able floats
    float er = to.R, eg = to.G, eb = to.B;

    // lerp the colours to get the difference
    byte r = (byte) sr.Lerp(er, amount),
         g = (byte) sg.Lerp(eg, amount),
         b = (byte) sb.Lerp(eb, amount);

    // return the new colour
    return Color.FromArgb(r, g, b);
}

An example of applying this would be something like:

// make red 50% lighter:
Color.Red.Lerp( Color.White, 0.5f );

// make red 75% darker:
Color.Red.Lerp( Color.Black, 0.75f );

// make white 10% bluer:
Color.White.Lerp( Color.Blue, 0.1f );

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