Add remaining haskell book exercises

Haskell-book/17/Exercises/.gitignore

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+.stack-work/
+Exercises.cabal
+*~

Haskell-book/17/Exercises/Setup.hs

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+import Distribution.Simple
+main = defaultMain

Haskell-book/17/Exercises/app/Main.hs

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+module Main where
+
+import Exercises
+
+main :: IO ()
+main = return ()

Haskell-book/17/Exercises/package.yaml

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+name:                Exercises
+version:             0.1.0.0
+author:              "Eugen Wissner"
+maintainer:          "belka@caraus.de"
+copyright:           "2018 Eugen Wissner"
+
+dependencies:
+- base >= 4.7 && < 5
+- QuickCheck
+- checkers
+
+library:
+  source-dirs: src
+
+executables:
+  Exercises-exe:
+    main:                Main.hs
+    source-dirs:         app
+    ghc-options:
+    - -threaded
+    - -rtsopts
+    - -with-rtsopts=-N
+    dependencies:
+    - Exercises
+
+tests:
+  Exercises-test:
+    main:                Spec.hs
+    source-dirs:         test
+    ghc-options:
+    - -threaded
+    - -rtsopts
+    - -with-rtsopts=-N
+    dependencies:
+    - Exercises

Haskell-book/17/Exercises/src/Exercises.hs

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+module Exercises where
+
+import Test.QuickCheck
+import Test.QuickCheck.Checkers
+
+--- 1
+data Pair a = Pair a a deriving (Show, Eq)
+
+instance Functor Pair where
+    fmap f (Pair x y) = Pair (f x) (f y)
+
+instance Applicative Pair where
+    pure f = Pair f f
+    (Pair f f') <*> (Pair x y) = Pair (f x) (f' y)
+
+instance Arbitrary a => Arbitrary (Pair a) where
+    arbitrary = do
+        x <- arbitrary
+        y <- arbitrary
+        return $ Pair x y
+
+instance Eq a => EqProp (Pair a) where
+    (=-=) = eq
+
+--- 2
+data Two a b  = Two a b deriving (Show, Eq)
+
+instance Functor (Two a) where
+    fmap f (Two x y) = Two x (f y)
+
+instance Monoid a => Applicative (Two a) where
+    pure x = Two mempty $ x
+    (Two f f') <*> (Two x y) = Two (mappend f x) (f' y)
+
+instance (Arbitrary a, Arbitrary b) => Arbitrary (Two a b) where
+    arbitrary = do
+        x <- arbitrary
+        y <- arbitrary
+        return $ Two x y
+
+instance (Eq a, Eq b) => EqProp (Two a b) where
+    (=-=) = eq
+
+--- 3
+data Three a b c  = Three a b c deriving (Show, Eq)
+
+instance Functor (Three a b) where
+    fmap f (Three x y z) = Three x y (f z)
+
+instance (Monoid a, Monoid b) => Applicative (Three a b) where
+    pure x = Three mempty mempty x
+    (Three f f' f'') <*> (Three x y z) = Three (mappend f x) (mappend f' y) (f'' z)
+
+instance (Arbitrary a, Arbitrary b, Arbitrary c) => Arbitrary (Three a b c) where
+    arbitrary = do
+        x <- arbitrary
+        y <- arbitrary
+        z <- arbitrary
+        return $ Three x y z
+
+instance (Eq a, Eq b, Eq c) => EqProp (Three a b c) where
+    (=-=) = eq
+
+--- 4
+data Three' a b = Three' a b b deriving (Show, Eq)
+
+instance Functor (Three' a) where
+    fmap f (Three' x y z) = Three' x (f y) (f z)
+
+instance (Monoid a) => Applicative (Three' a) where
+    pure x = Three' mempty x x
+    (Three' f f' f'') <*> (Three' x y z) = Three' (mappend f x) (f' y) (f'' z)
+
+instance (Arbitrary a, Arbitrary b) => Arbitrary (Three' a b) where
+    arbitrary = do
+        x <- arbitrary
+        y <- arbitrary
+        z <- arbitrary
+        return $ Three' x y z
+
+instance (Eq a, Eq b) => EqProp (Three' a b) where
+    (=-=) = eq
+
+--- 5
+data Four a b c d = Four a b c d deriving (Show, Eq)
+
+instance Functor (Four a b c) where
+    fmap f (Four x y z t) = Four x y z (f t)
+
+instance (Monoid a, Monoid b, Monoid c) => Applicative (Four a b c) where
+    pure x = Four mempty mempty mempty x
+    (Four f f' f'' f''') <*> (Four x y z t) = Four (mappend f x) (mappend f' y) (mappend f'' z) (f''' t)
+
+instance (Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d) => Arbitrary (Four a b c d) where
+    arbitrary = do
+        x <- arbitrary
+        y <- arbitrary
+        z <- arbitrary
+        t <- arbitrary
+        return $ Four x y z t
+
+instance (Eq a, Eq b, Eq c, Eq d) => EqProp (Four a b c d) where
+    (=-=) = eq
+
+--- 5
+data Four' a b = Four' a a a b deriving (Show, Eq)
+
+instance Functor (Four' a) where
+    fmap f (Four' x y z t) = Four' x y z (f t)
+
+instance (Monoid a) => Applicative (Four' a) where
+    pure x = Four' mempty mempty mempty x
+    (Four' f f' f'' f''') <*> (Four' x y z t) = Four' (mappend f x) (mappend f' y) (mappend f'' z) (f''' t)
+
+instance (Arbitrary a, Arbitrary b) => Arbitrary (Four' a b) where
+    arbitrary = do
+        x <- arbitrary
+        y <- arbitrary
+        z <- arbitrary
+        t <- arbitrary
+        return $ Four' x y z t
+
+instance (Eq a, Eq b) => EqProp (Four' a b) where
+    (=-=) = eq

Haskell-book/17/Exercises/stack.yaml

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+# This file was automatically generated by 'stack init'
+#
+# Some commonly used options have been documented as comments in this file.
+# For advanced use and comprehensive documentation of the format, please see:
+# https://docs.haskellstack.org/en/stable/yaml_configuration/
+
+# Resolver to choose a 'specific' stackage snapshot or a compiler version.
+# A snapshot resolver dictates the compiler version and the set of packages
+# to be used for project dependencies. For example:
+#
+# resolver: lts-3.5
+# resolver: nightly-2015-09-21
+# resolver: ghc-7.10.2
+# resolver: ghcjs-0.1.0_ghc-7.10.2
+# resolver:
+#  name: custom-snapshot
+#  location: "./custom-snapshot.yaml"
+resolver: lts-10.3
+
+# User packages to be built.
+# Various formats can be used as shown in the example below.
+#
+# packages:
+# - some-directory
+# - https://example.com/foo/bar/baz-0.0.2.tar.gz
+# - location:
+#    git: https://github.com/commercialhaskell/stack.git
+#    commit: e7b331f14bcffb8367cd58fbfc8b40ec7642100a
+# - location: https://github.com/commercialhaskell/stack/commit/e7b331f14bcffb8367cd58fbfc8b40ec7642100a
+#   extra-dep: true
+#  subdirs:
+#  - auto-update
+#  - wai
+#
+# A package marked 'extra-dep: true' will only be built if demanded by a
+# non-dependency (i.e. a user package), and its test suites and benchmarks
+# will not be run. This is useful for tweaking upstream packages.
+packages:
+- .
+# Dependency packages to be pulled from upstream that are not in the resolver
+# (e.g., acme-missiles-0.3)
+# extra-deps: []
+
+# Override default flag values for local packages and extra-deps
+# flags: {}
+
+# Extra package databases containing global packages
+# extra-package-dbs: []
+
+# Control whether we use the GHC we find on the path
+# system-ghc: true
+#
+# Require a specific version of stack, using version ranges
+# require-stack-version: -any # Default
+# require-stack-version: ">=1.6"
+#
+# Override the architecture used by stack, especially useful on Windows
+# arch: i386
+# arch: x86_64
+#
+# Extra directories used by stack for building
+# extra-include-dirs: [/path/to/dir]
+# extra-lib-dirs: [/path/to/dir]
+#
+# Allow a newer minor version of GHC than the snapshot specifies
+# compiler-check: newer-minor

Haskell-book/17/Exercises/test/Spec.hs

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+import Data.Monoid
+import Exercises
+import Test.QuickCheck.Checkers
+import Test.QuickCheck.Classes
+
+main :: IO ()
+main = do
+    quickBatch $ functor $ Pair ('a', 'b', 'c') ('d', 'e', 'f')
+    quickBatch $ applicative $ Pair ('a', 'b', 'c') ('d', 'e', 'f')
+    quickBatch $ functor $ Two ('a', 'b', 'c') (1 :: Integer, 2 :: Integer, 3 :: Integer)
+    quickBatch $ applicative $ Two (Product (1 :: Integer), Product (2 :: Integer), Product (3 :: Integer))
+                                   (Sum (1 :: Integer), Sum (2 :: Integer), Sum (3 :: Integer))
+    quickBatch $ applicative $ Three (Product (1 :: Integer), Product (2 :: Integer), Product (3 :: Integer))
+                                     (Sum (1 :: Integer), Sum (2 :: Integer), Sum (3 :: Integer))
+                                     (Sum (4 :: Integer), Sum (5 :: Integer), Sum (6 :: Integer))
+    quickBatch $ applicative $ Three' (Product (1 :: Integer), Product (2 :: Integer), Product (3 :: Integer))
+                                      (Sum (1 :: Integer), Sum (2 :: Integer), Sum (3 :: Integer))
+                                      (Sum (4 :: Integer), Sum (5 :: Integer), Sum (6 :: Integer))
+    quickBatch $ applicative $ Four (Product (1 :: Integer), Product (2 :: Integer), Product (3 :: Integer))
+                                    (Product (1 :: Integer), Product (2 :: Integer), Product (3 :: Integer))
+                                    (Sum (1 :: Integer), Sum (2 :: Integer), Sum (3 :: Integer))
+                                    (Sum (4 :: Integer), Sum (5 :: Integer), Sum (6 :: Integer))
+    quickBatch $ applicative $ Four (Product (1 :: Integer), Product (2 :: Integer), Product (3 :: Integer))
+                                    (Product (1 :: Integer), Product (2 :: Integer), Product (3 :: Integer))
+                                    (Product (1 :: Integer), Product (2 :: Integer), Product (3 :: Integer))
+                                    (Sum (4 :: Integer), Sum (5 :: Integer), Sum (6 :: Integer))