UnitFractionsDecomposition2

Documentation

threeDigitsK :: Double -> Double

Rounding to thousandth.

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 suitable21 applicattion.

check3FracDecompPartialP :: Bool -> [Int] -> Double -> Maybe ([Double], Double)

Extended version of the check3FracDecompPartial with the first denominator being taken not - only from the [2..10], but also from the custom user provided list. -

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

lessErrDenomsP :: [Int] -> Double -> [Integer]

Returns a list of denominators for fraction decomposition using also those ones from the the list provided as the first argument. Searches for the least error from the checked ones.