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October 31, 2014 09:32
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lab2 of FP101x
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module Lab2 where | |
------------------------------------------------------------------------------------------------------------------------------ | |
-- Lab 2: Validating Credit Card Numbers | |
------------------------------------------------------------------------------------------------------------------------------ | |
import Data.Char | |
-- =================================== | |
-- Ex. 0 | |
-- =================================== | |
toDigits :: Integer -> [Integer] | |
toDigits n | |
| n < 0 = error "Nagetive Number" | |
| otherwise = map (toInteger . subtract 48 . ord) $ show n | |
-- =================================== | |
-- Ex. 1 | |
-- =================================== | |
toDigitsRev :: Integer -> [Integer] | |
toDigitsRev = reverse . toDigits | |
-- =================================== | |
-- Ex. 2 | |
-- =================================== | |
doubleSecond :: [Integer] -> [Integer] | |
doubleSecond [] = [] | |
doubleSecond (x:y:xs) = x:(2*y):doubleSecond xs | |
doubleSecond [x] = [x] | |
-- =================================== | |
-- Ex. 3 | |
-- =================================== | |
sumDigits :: [Integer] -> Integer | |
sumDigits [] = 0 | |
sumDigits (x:xs) = if x < 0 then error "Nagetive again" else if x > 9 then (sumDigits . toDigits) x + sumDigits xs else x + sumDigits xs | |
-- =================================== | |
-- Ex. 4 | |
-- =================================== | |
isValid :: Integer -> Bool | |
isValid n = if mod k 10 == 0 then True else False | |
where k = (sumDigits . doubleSecond . toDigitsRev) n | |
-- =================================== | |
-- Ex. 5 | |
-- =================================== | |
numValid :: [Integer] -> Integer | |
numValid xs = sum . map (\_ -> 1) $ filter isValid xs | |
creditcards :: [Integer] | |
creditcards = [ 4716347184862961, | |
4532899082537349, | |
4485429517622493, | |
4320635998241421, | |
4929778869082405, | |
5256283618614517, | |
5507514403575522, | |
5191806267524120, | |
5396452857080331, | |
5567798501168013, | |
6011798764103720, | |
6011970953092861, | |
6011486447384806, | |
6011337752144550, | |
6011442159205994, | |
4916188093226163, | |
4916699537435624, | |
4024607115319476, | |
4556945538735693, | |
4532818294886666, | |
5349308918130507, | |
5156469512589415, | |
5210896944802939, | |
5442782486960998, | |
5385907818416901, | |
6011920409800508, | |
6011978316213975, | |
6011221666280064, | |
6011285399268094, | |
6011111757787451, | |
4024007106747875, | |
4916148692391990, | |
4916918116659358, | |
4024007109091313, | |
4716815014741522, | |
5370975221279675, | |
5586822747605880, | |
5446122675080587, | |
5361718970369004, | |
5543878863367027, | |
6011996932510178, | |
6011475323876084, | |
6011358905586117, | |
6011672107152563, | |
6011660634944997, | |
4532917110736356, | |
4485548499291791, | |
4532098581822262, | |
4018626753711468, | |
4454290525773941, | |
5593710059099297, | |
5275213041261476, | |
5244162726358685, | |
5583726743957726, | |
5108718020905086, | |
6011887079002610, | |
6011119104045333, | |
6011296087222376, | |
6011183539053619, | |
6011067418196187, | |
4532462702719400, | |
4420029044272063, | |
4716494048062261, | |
4916853817750471, | |
4327554795485824, | |
5138477489321723, | |
5452898762612993, | |
5246310677063212, | |
5211257116158320, | |
5230793016257272, | |
6011265295282522, | |
6011034443437754, | |
6011582769987164, | |
6011821695998586, | |
6011420220198992, | |
4716625186530516, | |
4485290399115271, | |
4556449305907296, | |
4532036228186543, | |
4916950537496300, | |
5188481717181072, | |
5535021441100707, | |
5331217916806887, | |
5212754109160056, | |
5580039541241472, | |
6011450326200252, | |
6011141461689343, | |
6011886911067144, | |
6011835735645726, | |
6011063209139742, | |
379517444387209, | |
377250784667541, | |
347171902952673, | |
379852678889749, | |
345449316207827, | |
349968440887576, | |
347727987370269, | |
370147776002793, | |
374465794689268, | |
340860752032008, | |
349569393937707, | |
379610201376008, | |
346590844560212, | |
376638943222680, | |
378753384029375, | |
348159548355291, | |
345714137642682, | |
347556554119626, | |
370919740116903, | |
375059255910682, | |
373129538038460, | |
346734548488728, | |
370697814213115, | |
377968192654740, | |
379127496780069, | |
375213257576161, | |
379055805946370, | |
345835454524671, | |
377851536227201, | |
345763240913232 | |
] |
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