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Color delta/comparison math

These are the formulas to calculate color differences. All of them refers to the CIE-L*ab color space.
Each formula is written as a "neutral programming function", easy to be translate in any specific computer language.
We did not post obvious deltas which involve a simple subtraction of two values.

Please keep in mind that implementing complex delta calculation (CMC, 1994, 2000) in your code may involve a lot of attention about the math itself and also the coding syntax.

Delta C*

Delta H*

CIE-a*1, CIE-b*1                   //Color #1 CIE-L*ab values
CIE-a*2, CIE-b*2                   //Color #2 CIE-L*ab values


xDE =   sqrt( ( CIE-a*2 ^ 2 ) + ( CIE-b*2 ^ 2 ) )
      - sqrt( ( CIE-a*1 ^ 2 )  + ( CIE-b*1 ^ 2 ) )

Delta H* = sqrt( ( CIE-a*2 - CIE-a*1 ) ^ 2
               + ( CIE-b*2 - CIE-b*1 ) ^ 2
               - ( xDE ^ 2 ) )

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Delta E*

Delta E 1994

Delta E 2000

Delta CMC