UnitFractionsDecomposition2

Documentation

threeDigitsK :: Double -> Double

setOfSolutions :: Double -> [(Double, Double)]

suitable2 :: Double -> (Double, Double)

Partially defined function, if there is no solutions then returns a tuple of undefined. Beter to use suitable21

suitable21 :: Double -> Maybe ([Double], Double)

isRangeN :: Double -> Bool

isRangeNPref :: Double -> Bool

The preferable range of the argument for suitable2 and suitable21 functions. For arguments in this range the functions always have informative results.

check1FracDecomp :: Double -> Maybe ([Double], Double)

Tries to approximate the fraction by just one unit fraction. Can be used for the numbers between 0.005 and 0.501.

check3FracDecompPartial :: Bool -> Double -> Maybe ([Double], Double)

Function to find the less by absolute value error approximation. One of the denominators is taken from the range [2..10]. The two others are taken from the appropriate suitabble21 applicattion.

lessErrSimpleDecomp :: Double -> (Int, Maybe ([Double], Double), Double)

lessErrDenoms :: Double -> [Integer]

A list of denominators for fraction decomposition. If the list has 3 elements (likely in most cases) then the furst one is from the range [2..10].