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module Angabe2 where
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2021-10-28 16:44:41 +00:00
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import Data.Time
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2021-10-24 08:33:12 +00:00
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{- 1. Vervollstaendigen Sie gemaess Angabentext!
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2. Vervollständigen Sie auch die vorgegebenen Kommentaranfänge!
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3. Loeschen Sie keine Deklarationen aus diesem Rahmenprogramm, auch nicht die Modulanweisug!
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4. Achten Sie darauf, dass `Gruppe' Leserechte fuer Ihre Abgabedatei hat!
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-}
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-- Aufgabe A.1
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-- Ergaenzen Sie fehlende Typklassen in deriving-Klauseln, wo noetig und nicht explizit
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-- eine Instanz-Deklaration gefordert ist.
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type Nat1 = Int
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newtype Vorname = Vorname String deriving (Eq,Show,Ord)
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newtype Nachname = Nachname String deriving (Eq,Show,Ord)
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data VHDS = Viertel | Halb | Dreiviertel | Schlag deriving (Eq,Ord,Show)
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data Stunde = Eins | Zwei | Drei | Vier | Fuenf | Sechs
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| Sieben | Acht | Neun | Zehn | Elf
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| Zwoelf deriving (Eq,Ord,Show)
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data VorNachMittag = VM | NM deriving (Eq,Ord,Show)
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newtype Uhrzeit = U (VHDS,Stunde,VorNachMittag) deriving (Eq,Ord,Show)
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data Tag = I | II | III | IV | V | VI | VII | VIII | IX | X
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| XI | XII | XIII | XIV | XV | XVI | XVII | XVIII
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| XIX | XX | XXI | XXII | XXIII | XXIV | XXV
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| XXVI | XXVII | XXVIII | XXIX | XXX
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| XXXI deriving (Eq,Ord,Show)
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data Monat = Jan | Feb | Mar | Apr | Mai | Jun
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| Jul | Aug | Sep | Okt | Nov | Dez deriving (Eq,Ord,Show)
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type Jahr = Nat1
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data Datum = D {
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tag :: Tag,
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monat :: Monat,
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jahr :: Jahr
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} deriving (Eq,Show,Ord)
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data Testart = PCR | Antigen deriving (Eq,Show,Ord)
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data Impfstoff = AstraZeneca | BioNTec | JundJ | Moderna
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| Sputnik | Sinovac deriving (Eq,Show,Ord)
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data Anzahl = Einmal | Zweimal deriving (Eq,Show,Ord)
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data DreiG_Status = Geimpft (Impfstoff, Anzahl)
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| Genesen
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| Getestet {
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testart :: Testart,
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datum :: Datum,
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uhrzeit :: Uhrzeit
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}
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| Udrei deriving (Eq,Show,Ord)
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-- Udrei: Ungetestet, Ungenesen, Ungeimpft
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data Regel = DreiG | ZweieinhalbG | ZweiG deriving Eq
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data Person = P {
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vorname :: Vorname,
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nachname :: Nachname,
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dreig_status :: DreiG_Status
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} deriving (Eq,Ord)
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type Einlassbegehrende = [Person]
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type VorUndNachname = String
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type Einzulassende = [VorUndNachname]
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type Abzuweisende = [VorUndNachname]
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type Kontrollzeitpunkt = (Datum,Uhrzeit)
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data Kontrollergebnis = Einlassen | Abweisen | Ungueltig deriving (Eq,Show)
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-- General functions
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was_sick :: Person -> Bool
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was_sick p
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| dreig_status p == Genesen = True
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| otherwise = False
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is_vaccinated :: Person -> Bool
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is_vaccinated p =
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case dreig_status p of
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Geimpft (_, _) -> True
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_ -> False
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is_tested :: Person -> Bool
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is_tested p =
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case dreig_status p of
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Getestet _ _ _ -> True
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_ -> False
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full_months::[Monat]
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full_months = [Jan, Mar, Mai, Jul, Aug, Okt, Dez]
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is_date_valid :: (Datum, Uhrzeit) -> Bool
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is_date_valid (d, u)
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| monat d == Feb =
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let y = jahr d in
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let t = tag d in
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if y `mod` 4 /= 0 && (day_to_num t) > (day_to_num XXVIII) then False
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else
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if y `mod` 100 == 0 && y `mod` 400 /= 0 then False
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else
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if (day_to_num t) > (day_to_num XXIX) then False
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else True
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| (day_to_num (tag d)) > (day_to_num XXX) && not(monat d `elem` full_months) = False
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| otherwise = True
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uhrzeit_vhds :: Uhrzeit -> VHDS
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uhrzeit_vhds (U (v, _, _)) = v
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uhrzeit_stunde :: Uhrzeit -> Stunde
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uhrzeit_stunde (U (_, s, _)) = s
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uhrzeit_vornach :: Uhrzeit -> VorNachMittag
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uhrzeit_vornach (U (_, _, v)) = v
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impfstoff :: DreiG_Status -> Impfstoff
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impfstoff (Geimpft (i, _)) = i
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anzahl :: DreiG_Status -> Anzahl
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anzahl (Geimpft (_, a)) = a
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-- Dumb conversion functions
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timeFormat = "%Y-%m-%d %l:%M:%S %p"
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understandTime = parseTimeOrError True defaultTimeLocale timeFormat
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convert_to_utc :: (Datum, Uhrzeit) -> UTCTime
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convert_to_utc (d, u) =
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let
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day = show (day_to_num (tag d))
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month = show (month_to_num (monat d))
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year = show (jahr d)
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vm = vm_to_ampm (uhrzeit_vornach u)
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vhds = show (vhds_to_num (uhrzeit_vhds u))
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hour = (if vhds /= "0" then show (hour_to_num (uhrzeit_stunde u) - 1) else show (hour_to_num (uhrzeit_stunde u)))
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date = year ++ "-" ++ month ++ "-" ++ day
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time = hour ++ ":" ++ vhds ++ ":00"
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datetime = date ++ " " ++ time ++ " " ++ vm
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in
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understandTime datetime
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vm_to_ampm :: VorNachMittag -> String
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vm_to_ampm vm
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| vm == VM = "am"
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| otherwise = "pm"
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hour_to_num :: Stunde -> Nat1
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hour_to_num Eins = 1
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hour_to_num Zwei = 2
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hour_to_num Drei = 3
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hour_to_num Vier = 4
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hour_to_num Fuenf = 5
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hour_to_num Sechs = 6
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hour_to_num Sieben = 7
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hour_to_num Acht = 8
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hour_to_num Neun = 9
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hour_to_num Zehn = 10
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hour_to_num Elf = 11
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hour_to_num Zwoelf = 12
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vhds_to_num :: VHDS -> Nat1
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vhds_to_num Schlag = 0
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vhds_to_num Viertel = 15
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vhds_to_num Halb = 30
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vhds_to_num Dreiviertel = 45
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day_to_num :: Tag -> Nat1
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day_to_num I = 1
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day_to_num II = 2
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day_to_num III = 3
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day_to_num IV = 4
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day_to_num V = 5
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day_to_num VI = 6
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day_to_num VII = 7
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day_to_num VIII = 8
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day_to_num IX = 9
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day_to_num X = 10
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day_to_num XI = 11
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day_to_num XII = 12
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day_to_num XIII = 13
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day_to_num XIV = 14
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day_to_num XV = 15
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day_to_num XVI = 16
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day_to_num XVII = 17
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day_to_num XVIII = 18
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day_to_num XIX = 19
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day_to_num XX = 20
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day_to_num XXI = 21
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day_to_num XXII = 22
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day_to_num XXIII = 23
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day_to_num XXIV = 24
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day_to_num XXV = 25
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day_to_num XXVI = 26
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day_to_num XXVII = 27
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day_to_num XXVIII = 28
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day_to_num XXIX = 29
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day_to_num XXX = 30
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day_to_num XXXI = 31
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month_to_num :: Monat -> Nat1
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month_to_num Jan = 1
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month_to_num Feb = 2
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month_to_num Mar = 3
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month_to_num Apr = 4
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month_to_num Mai = 5
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month_to_num Jun = 6
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month_to_num Jul = 7
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month_to_num Aug = 8
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month_to_num Sep = 9
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month_to_num Okt = 10
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month_to_num Nov = 11
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month_to_num Dez = 12
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2021-10-24 08:33:12 +00:00
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-- Aufgabe A.2
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{-
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if the person is Udrei, deny
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if the person is only tested and only 2g is allowed, deny
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if the person is tested with antigen and 2.5g is allowed, deny
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otherwise, check the cert validity with the special function
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-}
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einzulassen :: (Person,Regel,Kontrollzeitpunkt) -> Kontrollergebnis
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einzulassen (p, r, k)
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| not(is_date_valid k) = Ungueltig
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| dreig_status p == Udrei = Abweisen
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| otherwise = should_allow p r k
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should_allow :: Person -> Regel -> Kontrollzeitpunkt -> Kontrollergebnis
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should_allow p ZweiG k
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| (not (was_sick p)) || (not (is_vaccinated p)) = Abweisen
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| otherwise = check_cert_validity p k
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should_allow p ZweieinhalbG k
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| is_tested p =
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if testart (dreig_status p) == Antigen then Abweisen
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else check_cert_validity p k
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| otherwise = check_cert_validity p k
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should_allow p DreiG k = check_cert_validity p k
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{-
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check certificate validity:
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if the control point is invalid, deny
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if the person has been sick, allow
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if the person is vaccinated, check for correctness of vaccines
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if the person is tested, check for fresshness of test
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-}
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check_cert_validity :: Person -> Kontrollzeitpunkt -> Kontrollergebnis
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check_cert_validity p k
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| was_sick p = Einlassen
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| is_vaccinated p && is_vaccine_fresh (dreig_status p) = Einlassen
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| is_tested p && not(is_date_valid ((datum (dreig_status p)), (uhrzeit (dreig_status p)))) = Ungueltig
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| is_tested p && (is_test_fresh (dreig_status p) k) = Einlassen
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| otherwise = Abweisen
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{-
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check vaccine correctness:
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if the vaccine is JandJ, only one vaccine is enough
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if the vaccine is of other type, two vaccines are required
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-}
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is_vaccine_fresh :: DreiG_Status -> Bool
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is_vaccine_fresh g
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| impfstoff g == JundJ =
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if ((anzahl g) == Einmal || (anzahl g) == Zweimal) then True
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else False
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| otherwise =
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if (anzahl g) == Zweimal then True
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else False
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{-
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function that checks if the test is fresh
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if the date of the test is invalid, then False
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otherwise, convert the datetime of the vaccination and the control time to utc and compare the difference to the validity of the test
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-}
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is_test_fresh :: DreiG_Status -> Kontrollzeitpunkt -> Bool
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is_test_fresh g k
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| testart g == Antigen = handle_test g k 1
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| testart g == PCR = handle_test g k 3
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| otherwise = False
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handle_test :: DreiG_Status -> Kontrollzeitpunkt -> Nat1 -> Bool
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handle_test g k n
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| (calculate_time_diff ((datum g), (uhrzeit g)) k) <= m = True
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| otherwise = False
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where m = toEnum(n * 24 * 60 * 60)
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{-
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function that calculates the difference in seconds between two datetimes
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-}
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calculate_time_diff :: (Datum, Uhrzeit) -> (Datum, Uhrzeit) -> NominalDiffTime
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calculate_time_diff u1 u2 =
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abs(diffUTCTime (convert_to_utc u1) (convert_to_utc u2))
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2021-10-24 08:33:12 +00:00
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-- Aufgabe A.3
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2021-10-24 10:25:01 +00:00
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--einzulassende :: Einlassbegehrende -> Regel -> Kontrollzeitpunkt -> Einzulassende
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{- Knapp, aber gut nachvollziehbar geht einzulassende folgendermassen vor:
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...
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-}
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-- Aufgabe A.4
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--einzulassende_abzuweisende :: Einlassbegehrende -> Regel -> Kontrollzeitpunkt -> ([Einzulassende],[Abzuweisende])
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2021-10-24 08:33:12 +00:00
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2021-10-24 10:25:01 +00:00
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{- Knapp, aber gut nachvollziehbar geht einzulassende_abzuweisende folgendermassen vor:
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...
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2021-10-24 08:33:12 +00:00
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-}
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-- Aufgabe A.5
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2021-10-24 10:25:01 +00:00
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--instance Show Uhrzeit where
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--show ...
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2021-10-24 08:33:12 +00:00
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2021-10-24 10:25:01 +00:00
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{- Knapp, aber gut nachvollziehbar geht die Implementierung von show fuer Uhrzeit
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2021-10-24 08:33:12 +00:00
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folgendermassen vor:
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...
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-}
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2021-10-24 10:25:01 +00:00
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--instance Show Datum where
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-- show ...
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2021-10-24 08:33:12 +00:00
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2021-10-24 10:25:01 +00:00
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{- Knapp, aber gut nachvollziehbar geht die Implementierung von show fuer Datum
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2021-10-24 08:33:12 +00:00
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folgendermassen vor:
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...
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-}
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