{-| Module: Elocrypt.Trigraph Description: Generate a frequency trigraph based on an english dictionary Copyright: (c) Sean Gillespie, 2015 License: OtherLicense Maintainer: Sean Gillespie Stability: Experimental Generate a letter frequency trigraph, based on a dictionary -} module Data.Elocrypt.Trigraph where import Control.Monad import Data.Bool import Data.Char import Data.List -- |Search for the character frequencies and return a weighted list findWeights :: String -- ^ The two letter prefix -> Maybe [(Char, Rational)] findWeights = fmap (zip ['a'..'z'] . defaultFrequencies) . findFrequency' where findFrequency' = findFrequency . map toLower -- |Search for the character frequencies based on the first a two-letter string findFrequency :: String -> Maybe [Rational] findFrequency s = snd `liftM` find ((==) s . fst) frequencies -- |Fix frequencies if they are all 0, since MonadRandom prohibits this. -- In this case, use all 1s to give every item an equal weight defaultFrequencies :: [Rational] -> [Rational] defaultFrequencies f = bool (replicate 26 1) f (any (>0) f) -- | A map of character frequencies, based on a dictionary. The key is a two-letter -- string, and the value is a list of probabilities (a-z). It's form is: -- -- > [("aa", [2,0,3,0,0,0,1,0,0,0,0,1,1,1,0,0,0,3,2,0,0,0,0,0,0,0]), -- > ... -- > ("zz", [7,0,0,0,1,0,0,0,7,0,0,17,0,0,2,0,0,0,0,0,0,0,1,0,5,0])] frequencies :: [(String, [Rational])] frequencies = [("aa", [2,0,3,0,0,0,1,0,0,0,0,1,1,1,0,0,0,3,2,0,0,0,0,0,0,0]), ("ab", [37,25,2,5,38,0,0,2,46,1,0,304,0,2,49,0,0,24,24,0,19,0,0,0,14,0]), ("ac", [26,1,64,2,107,0,1,94,67,0,173,13,5,1,35,1,13,32,3,114,23,0,0,0,45,0]), ("ad", [35,7,3,43,116,6,3,8,75,14,1,16,25,3,44,3,1,35,20,1,10,25,9,0,18,0]), ("ae", [2,0,2,1,0,1,3,0,0,0,0,10,0,2,3,0,0,12,6,0,2,0,0,0,0,0]), ("af", [5,0,0,0,14,50,2,0,3,0,2,5,0,2,7,0,0,5,1,39,1,0,0,0,1,0]), ("ag", [30,1,0,1,182,0,42,5,30,0,0,7,9,42,51,3,0,24,3,0,21,0,3,0,3,0]), ("ah", [12,0,0,0,20,0,0,0,3,0,0,5,4,2,13,0,0,2,0,0,1,0,0,0,0,0]), ("ai", [2,0,10,26,2,1,10,0,2,1,2,87,13,144,0,2,0,93,30,23,0,3,1,0,0,0]), ("aj", [4,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0]), ("ak", [11,0,1,1,98,1,0,1,15,0,0,3,0,0,5,1,0,3,0,1,2,0,3,0,8,0]), ("al", [78,20,34,45,124,21,24,5,109,0,28,237,31,3,53,23,0,7,16,69,29,26,5,0,26,2]), ("am", [70,57,1,1,98,3,0,1,68,0,0,3,38,2,43,69,0,3,14,3,12,0,2,0,14,0]), ("an", [114,6,156,359,103,8,146,12,141,2,57,4,0,89,61,1,4,1,124,443,29,6,1,3,28,9]), ("ao", [0,0,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,3,2,2,2,0,0,0,0,0]), ("ap", [29,3,0,1,59,1,0,86,25,0,1,14,1,1,37,94,0,9,22,30,8,0,0,0,9,0]), ("aq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0]), ("ar", [124,64,101,233,115,12,47,5,188,3,61,55,68,34,46,25,6,94,48,189,5,22,5,1,172,2]), ("as", [19,3,32,0,71,0,1,81,49,0,22,3,19,2,19,34,4,0,152,211,12,0,1,0,17,1]), ("at", [50,3,41,2,863,4,0,144,352,0,5,14,6,3,144,0,0,60,13,106,57,1,5,0,8,5]), ("au", [0,5,23,35,5,5,38,1,0,1,3,33,4,23,0,4,1,35,52,56,0,1,0,7,0,1]), ("av", [35,0,0,1,108,0,0,0,49,0,0,1,0,0,19,0,0,0,0,0,3,1,0,0,6,0]), ("aw", [30,10,0,4,3,6,2,2,2,0,10,13,4,15,3,0,0,6,3,5,0,0,0,0,2,0]), ("ax", [3,0,0,0,4,0,0,0,22,0,0,1,0,0,7,2,0,0,1,1,0,0,3,0,3,0]), ("ay", [11,8,1,5,16,5,1,2,2,0,0,10,7,4,13,1,0,3,5,7,3,0,5,0,0,0]), ("az", [10,0,0,1,22,0,0,0,10,0,0,0,0,0,7,0,0,0,0,2,2,0,0,0,4,11]), ("ba", [0,17,74,11,1,2,19,4,8,0,10,68,7,73,1,7,0,110,54,55,9,1,3,1,12,1]), ("bb", [7,0,0,0,16,0,0,0,10,0,0,24,0,0,9,0,0,2,3,0,2,0,0,0,14,0]), ("bc", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]), ("bd", [2,0,0,0,2,0,0,0,2,0,0,0,0,0,3,0,0,1,0,0,3,0,0,0,0,0]), ("be", [51,1,14,34,18,11,16,7,9,0,1,85,5,48,2,2,2,199,36,41,0,4,5,1,6,2]), ("bf", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0]), ("bg", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("bh", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0]), ("bi", [34,8,22,21,8,3,9,1,0,3,1,50,7,45,16,4,2,29,22,59,4,4,0,0,0,3]), ("bj", [0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]), ("bk", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("bl", [57,0,0,0,519,0,0,0,35,0,0,0,0,0,47,0,0,0,0,0,32,1,0,0,3,0]), ("bm", [0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0]), ("bn", [1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]), ("bo", [62,7,4,21,3,2,9,3,8,1,1,46,8,63,58,2,0,55,15,20,46,6,17,10,19,0]), ("bp", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0]), ("bq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("br", [110,0,0,0,77,0,0,0,100,0,0,0,0,0,78,0,0,0,0,0,28,0,0,0,10,0]), ("bs", [0,0,6,0,16,0,0,0,7,0,0,0,0,0,12,0,0,0,0,27,2,0,0,0,0,0]), ("bt", [1,0,0,0,3,1,0,0,0,0,0,4,0,0,1,0,0,3,0,0,0,0,0,0,0,0]), ("bu", [0,3,21,16,3,5,14,0,12,1,2,52,7,20,2,0,1,104,44,54,0,0,0,3,1,5]), ("bv", [0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("bw", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("bx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("by", [1,0,0,0,3,0,1,2,0,0,0,4,0,0,0,3,0,6,8,3,0,0,2,0,0,2]), ("bz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("ca", [1,47,17,33,1,3,4,5,7,1,3,120,40,120,1,59,1,171,60,150,19,20,1,0,5,0]), ("cb", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0]), ("cc", [23,0,0,0,22,0,0,5,13,0,0,13,0,0,26,0,0,7,0,0,27,0,0,0,0,0]), ("cd", [1,0,1,0,1,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0]), ("ce", [23,6,4,17,6,6,1,2,13,0,0,50,12,109,7,43,0,76,63,22,1,0,4,0,2,1]), ("cf", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("cg", [0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,4,1,0,1,0,0,0,0,0]), ("ch", [165,10,2,3,176,4,3,1,141,0,0,26,20,16,102,1,0,63,8,10,44,0,13,0,20,0]), ("ci", [76,15,8,33,24,16,3,0,0,0,0,38,5,45,50,28,0,29,38,71,6,8,0,0,0,0]), ("cj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("ck", [17,16,2,3,90,4,1,7,20,1,1,45,8,8,12,9,0,3,32,6,6,0,13,0,22,0]), ("cl", [95,0,0,0,84,0,0,0,50,0,0,0,0,0,54,0,0,0,0,0,34,0,0,0,3,0]), ("cm", [1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]), ("cn", [2,0,0,0,1,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0]), ("co", [33,16,40,22,14,10,11,12,9,1,1,101,218,421,24,56,2,129,37,40,86,22,25,4,4,2]), ("cp", [1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]), ("cq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0]), ("cr", [101,0,0,0,112,0,0,0,75,0,0,0,0,0,88,0,0,0,0,1,41,0,0,0,25,0]), ("cs", [0,0,0,0,0,0,0,0,3,0,0,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0]), ("ct", [44,0,0,0,12,2,0,0,113,0,0,0,2,0,94,0,0,46,0,0,42,0,1,0,3,0]), ("cu", [3,12,2,6,6,6,0,0,8,0,0,102,42,10,9,15,0,72,51,41,1,0,0,0,0,0]), ("cv", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("cw", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("cx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("cy", [5,1,20,0,0,0,1,0,0,0,0,3,0,2,2,4,0,3,2,9,0,0,0,0,0,0]), ("cz", [2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("da", [0,7,16,7,1,2,13,6,18,0,3,54,23,59,0,10,0,31,6,40,8,13,3,0,32,3]), ("db", [9,0,0,0,7,0,0,0,3,0,0,2,0,0,8,0,0,1,0,0,8,0,0,0,2,0]), ("dc", [5,0,0,0,0,0,0,2,0,0,0,2,0,0,3,0,0,0,0,0,2,0,0,0,0,0]), ("dd", [8,0,0,0,30,0,0,3,19,0,0,38,0,0,4,0,0,4,0,0,1,0,0,0,16,0]), ("de", [34,37,82,14,17,41,11,4,5,2,0,88,62,170,14,40,4,183,99,39,6,20,16,6,1,2]), ("df", [6,0,0,0,0,0,0,0,6,0,0,2,0,0,5,0,0,2,0,0,4,0,0,0,0,0]), ("dg", [4,0,0,0,73,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,2,0,1,0,3,0]), ("dh", [8,0,0,0,9,0,0,0,4,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0]), ("di", [100,10,104,12,33,26,31,1,1,0,1,22,22,65,57,15,0,20,138,53,20,31,1,6,0,1]), ("dj", [4,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,7,0,0,0,0,0]), ("dk", [0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]), ("dl", [9,0,0,0,79,0,0,0,12,0,0,0,0,0,7,0,0,0,0,0,1,0,0,0,3,0]), ("dm", [13,0,0,0,3,0,0,0,21,0,0,0,0,0,11,0,0,0,0,0,1,0,0,0,0,0]), ("dn", [7,0,0,0,9,0,0,0,3,0,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,0]), ("do", [1,5,21,10,6,3,20,1,3,0,0,30,38,54,17,7,0,39,11,10,30,5,54,5,1,3]), ("dp", [6,0,0,0,1,0,0,1,3,0,0,1,0,0,7,0,0,1,0,0,0,0,0,0,0,0]), ("dq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0]), ("dr", [74,0,0,0,47,0,0,0,53,0,0,0,0,0,80,0,0,0,0,0,22,0,0,0,8,0]), ("ds", [1,0,3,0,10,0,0,9,5,0,1,3,10,0,16,8,0,0,0,31,1,0,2,0,0,0]), ("dt", [3,0,0,0,1,0,0,6,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]), ("du", 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