Add remaining haskell book exercises
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35
Haskell-book/14/addition/Addition.hs
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35
Haskell-book/14/addition/Addition.hs
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module Addition where
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import Test.Hspec
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import Test.QuickCheck
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dividedBy :: Integral a => a -> a -> (a, a)
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dividedBy num denom = go num denom 0
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where go n d count
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| n < d = (count, n)
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| otherwise = go (n - d) d (count + 1)
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multiplyBy :: (Ord a, Eq a, Num a) => a -> a -> a
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multiplyBy a b
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| a == 0 || b == 0 = 0
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| a > 0 && b > 0 = multiplyBy' a b
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| a < 0 && b < 0 = multiplyBy' (-a) (-b)
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| a < 0 && b > 0 = -(multiplyBy' (-a) b)
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| a > 0 && b < 0 = -(multiplyBy' a (-b))
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where multiplyBy' c 1 = c
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multiplyBy' c d = c + (multiplyBy c (d - 1))
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main :: IO ()
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main = hspec $ do
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describe "Addition" $ do
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it "15 divided by 3 is 5" $ do
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dividedBy 15 3 `shouldBe` (5, 0)
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it "22 divided by 5 is 4 remainder 2" $ do
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dividedBy 22 5 `shouldBe` (4, 2)
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it "x + 1 is always greater than x" $ do
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property $ \x -> x + 1 > (x :: Int)
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describe "Multiplication" $ do
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it "15 multiplied by 3 is 45" $ do
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multiplyBy 15 3 `shouldBe` 45
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it "22 multiplied by 5 is 110" $ do
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multiplyBy 22 5 `shouldBe` 110
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