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@ -63,6 +63,7 @@ zoe = Car {
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sorted = sort [zoe, ferrari, ford]
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sorted = sort [zoe, ferrari, ford]
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-- >>> sorted
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-- >>> sorted
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-- [Car {model = Model "Fiesta", make = Make "Ford", year = 2017, color = RGB {r = 255, g = 0, b = 0}, power = 70},Car {model = Model "Testarossa", make = Make "Ferrari", year = 1991, color = RGB {r = 0, g = 255, b = 0}, power = 27},Car {model = Model "Zoe", make = Make "Renault", year = 2023, color = RGB {r = 255, g = 255, b = 255}, power = 70}]
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-- [Car {model = Model "Fiesta", make = Make "Ford", year = 2017, color = RGB {r = 255, g = 0, b = 0}, power = 70},Car {model = Model "Testarossa", make = Make "Ferrari", year = 1991, color = RGB {r = 0, g = 255, b = 0}, power = 27},Car {model = Model "Zoe", make = Make "Renault", year = 2023, color = RGB {r = 255, g = 255, b = 255}, power = 70}]
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--
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--------------------
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--------------------
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-- Exercise 2
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-- Exercise 2
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@ -104,6 +105,7 @@ tree =
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-- >>> show tree
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-- >>> show tree
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-- "PolyTree 1 [PolyTree 2 [PolyTree 5 [],PolyTree 6 [],PolyTree 7 []],PolyTree 3 [PolyTree 8 []]]"
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-- "PolyTree 1 [PolyTree 2 [PolyTree 5 [],PolyTree 6 [],PolyTree 7 []],PolyTree 3 [PolyTree 8 []]]"
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--
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--------------------
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--------------------
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-- Exercise 3
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-- Exercise 3
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@ -121,8 +123,10 @@ eval x =
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-- >>> Z
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-- >>> Z
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-- Z
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-- Z
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--
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-- >>> eval $ S $ S $ S Z
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-- >>> eval $ S $ S $ S Z
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-- 3
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-- 3
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--
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uneval :: Integer -> NatNumber
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uneval :: Integer -> NatNumber
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uneval x
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uneval x
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@ -131,13 +135,19 @@ uneval x
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| otherwise = S (uneval (x - 1))
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| otherwise = S (uneval (x - 1))
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-- >>> uneval (-1)
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-- >>> uneval (-1)
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-- negative numbers are not natural numbers
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-- *** Exception: negative numbers are not natural numbers
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-- CallStack (from HasCallStack):
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-- error, called at /home/manuel/Documents/Repositories/zhaw-fup/Exercises/exercise-2/Solution.hs:133:15 in main:Main
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--
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-- >>> uneval 0
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-- >>> uneval 0
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-- Z
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-- Z
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--
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-- >>> uneval 1
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-- >>> uneval 1
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-- S Z
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-- S Z
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--
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-- >>> uneval 3
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-- >>> uneval 3
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-- S (S (S Z))
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-- S (S (S Z))
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--
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addNat :: NatNumber -> NatNumber -> NatNumber
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addNat :: NatNumber -> NatNumber -> NatNumber
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addNat a b =
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addNat a b =
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@ -147,6 +157,7 @@ addNat a b =
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-- >>> eval (addNat (uneval 7) (uneval 2))
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-- >>> eval (addNat (uneval 7) (uneval 2))
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-- 9
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-- 9
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--
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mulNat :: NatNumber -> NatNumber -> NatNumber
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mulNat :: NatNumber -> NatNumber -> NatNumber
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mulNat a b =
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mulNat a b =
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@ -156,6 +167,7 @@ mulNat a b =
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-- >>> eval (mulNat (uneval 3) (uneval 2))
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-- >>> eval (mulNat (uneval 3) (uneval 2))
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-- 6
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-- 6
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--
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fact :: NatNumber -> NatNumber
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fact :: NatNumber -> NatNumber
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fact x =
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fact x =
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@ -165,8 +177,10 @@ fact x =
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-- >>> eval (fact Z)
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-- >>> eval (fact Z)
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-- 1
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-- 1
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--
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-- >>> eval (fact (S (S Z)))
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-- >>> eval (fact (S (S Z)))
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-- 2
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-- 2
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--
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--------------------
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--------------------
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-- Exercise 4
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-- Exercise 4
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@ -203,3 +217,4 @@ fibProgram =
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-- Should evaluate to True
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-- Should evaluate to True
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-- >>> sum (execute fibProgram 31250) == 26183978971946924
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-- >>> sum (execute fibProgram 31250) == 26183978971946924
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-- True
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-- True
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--
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