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Add remaining haskell book exercises

This commit is contained in:
2025-12-11 10:28:11 +01:00
parent 3624c712d7
commit 98329e0a3d
221 changed files with 8033 additions and 2 deletions

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

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Copyright Author name here (c) 2017
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above
copyright notice, this list of conditions and the following
disclaimer in the documentation and/or other materials provided
with the distribution.
* Neither the name of Author name here nor the names of other
contributors may be used to endorse or promote products derived
from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

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# addition

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import Distribution.Simple
main = defaultMain

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name: addition
version: 0.1.0.0
license-file: LICENSE
author: Chicken Little
maintainer: sky@isfalling.org
category: Text
build-type: Simple
cabal-version: >=1.10
library
exposed-modules: Addition
ghc-options: -Wall -fwarn-tabs
build-depends: base >= 4.7 && < 5
, hspec
, QuickCheck
hs-source-dirs: .
default-language: Haskell2010

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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-9.14
# 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: ">=1.5"
#
# 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

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# This file was autogenerated by Stack.
# You should not edit this file by hand.
# For more information, please see the documentation at:
# https://docs.haskellstack.org/en/stable/topics/lock_files
packages: []
snapshots:
- completed:
sha256: 9e880f85f76b7f35a2b6edd1af333ce7f7845d47e897c3509ddd18eaa2763779
size: 536352
url: https://raw.githubusercontent.com/commercialhaskell/stackage-snapshots/master/lts/9/14.yaml
original: lts-9.14

3
Haskell-book/14/morse/.gitignore vendored Normal file
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.stack-work/
morse.cabal
*~

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# Changelog for morse
## Unreleased changes

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Copyright Author name here (c) 2017
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above
copyright notice, this list of conditions and the following
disclaimer in the documentation and/or other materials provided
with the distribution.
* Neither the name of Author name here nor the names of other
contributors may be used to endorse or promote products derived
from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

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# morse

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import Distribution.Simple
main = defaultMain

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module Main where
import Control.Monad (forever, when)
import Data.List (intercalate)
import Data.Traversable (traverse)
import Morse (stringToMorse, morseToChar)
import System.Environment (getArgs)
import System.Exit (exitFailure, exitSuccess)
import System.IO (hGetLine, hIsEOF, stdin)
convertToMorse :: IO ()
convertToMorse = forever $ do
weAreDone <- hIsEOF stdin
when weAreDone exitSuccess
line <- hGetLine stdin
convertLine line
where convertLine line = do
let morse = stringToMorse line
case morse of
(Just str) -> putStrLn (intercalate " " str)
Nothing -> do
putStrLn $ "ERROR: " ++ line
exitFailure
convertFromMorse :: IO ()
convertFromMorse = forever $ do
weAreDone <- hIsEOF stdin
when weAreDone exitSuccess
line <- hGetLine stdin
convertLine line
where
convertLine line = do
let decoded :: Maybe String
decoded = traverse morseToChar (words line)
case decoded of
(Just s) -> putStrLn s
Nothing -> do
putStrLn $ "ERROR: " ++ line
exitFailure
main :: IO ()
main = do
mode <- getArgs
case mode of
[arg] ->
case arg of
"from" -> convertFromMorse
"to" -> convertToMorse
_ -> argError
_ -> argError
where argError = do
putStrLn "Please specify the first argument as being 'from' or 'to' morse, such as: morse to"
exitFailure

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module Morse
( Morse
, charToMorse
, morseToChar
, stringToMorse
, letterToMorse
, morseToLetter
) where
import qualified Data.Map as M
type Morse = String
letterToMorse :: (M.Map Char Morse)
letterToMorse = M.fromList [
('a', ".-")
, ('b', "-...")
, ('c', "-.-.")
, ('d', "-..")
, ('e', ".")
, ('f', "..-.")
, ('g', "--.")
, ('h', "....")
, ('i', "..")
, ('j', ".---")
, ('k', "-.-")
, ('l', ".-..")
, ('m', "--")
, ('n', "-.")
, ('o', "---")
, ('p', ".--.")
, ('q', "--.-")
, ('r', ".-.")
, ('s', "...")
, ('t', "-")
, ('u', "..-")
, ('v', "...-")
, ('w', ".--")
, ('x', "-..-")
, ('y', "-.--")
, ('z', "--..")
, ('1', ".----")
, ('2', "..---")
, ('3', "...--")
, ('4', "....-")
, ('5', ".....")
, ('6', "-....")
, ('7', "--...")
, ('8', "---..")
, ('9', "----.")
, ('0', "-----")
]
morseToLetter :: M.Map Morse Char
morseToLetter =
M.foldWithKey (flip M.insert) M.empty
letterToMorse
charToMorse :: Char -> Maybe Morse
charToMorse c =
M.lookup c letterToMorse
stringToMorse :: String -> Maybe [Morse]
stringToMorse s =
sequence $ fmap charToMorse s
morseToChar :: Morse -> Maybe Char
morseToChar m = M.lookup m morseToLetter

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module WordNumber where
import Data.List (unfoldr, intercalate)
import Data.Maybe (Maybe(..))
digitToWord :: Int -> String
digitToWord 0 = "zero"
digitToWord 1 = "one"
digitToWord 2 = "two"
digitToWord 3 = "three"
digitToWord 4 = "four"
digitToWord 5 = "five"
digitToWord 6 = "six"
digitToWord 7 = "seven"
digitToWord 8 = "eight"
digitToWord 9 = "nine"
digitToWord _ = ""
digits :: Int -> [Int]
digits n = reverse $ unfoldr unfold n
where unfold x
| x == 0 = Nothing
| otherwise = Just ((mod x 10), (div x 10))
wordNumber :: Int -> String
wordNumber n = intercalate "-" $ map digitToWord (digits n)

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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-9.17
# 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

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# This file was autogenerated by Stack.
# You should not edit this file by hand.
# For more information, please see the documentation at:
# https://docs.haskellstack.org/en/stable/topics/lock_files
packages: []
snapshots:
- completed:
sha256: 82ff94eacdc32a857e5aec82268644fdc3d5bfca07692ceeeb97e2d8ce5726ef
size: 535915
url: https://raw.githubusercontent.com/commercialhaskell/stackage-snapshots/master/lts/9/17.yaml
original: lts-9.17

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{-# LANGUAGE DeriveGeneric #-}
module CoArbitrary where
import GHC.Generics
import Test.QuickCheck
data Bool' = True' | False' deriving (Generic)
instance CoArbitrary Bool'
trueGen :: Gen Int
trueGen = coarbitrary True' arbitrary
falseGen :: Gen Int
falseGen = coarbitrary False' arbitrary

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module Main where
import Test.Hspec
import WordNumber (digitToWord, digits, wordNumber)
main :: IO ()
main = hspec $ do
describe "digitToWord" $ do
it "returns zero for 0" $ do
digitToWord 0 `shouldBe`"zero"
it "returns one for 1" $ do
digitToWord 1 `shouldBe` "one"
describe "digits" $ do
it "returns [1] for 1" $ do
digits 1 `shouldBe` [1]
it "returns [1, 0, 0] for 100" $ do
digits 100 `shouldBe` [1, 0, 0]
describe "wordNumber" $ do
it "one-zero-zero given 100" $ do
wordNumber 100 `shouldBe` "one-zero-zero"
it "nine-zero-zero-one for 9001" $ do
wordNumber 9001 `shouldBe` "nine-zero-zero-one"

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module Main where
import qualified Data.Map as M
import Morse
import Test.QuickCheck
import Test.QuickCheck.Gen (oneof)
allowedChars :: [Char]
allowedChars = M.keys letterToMorse
allowedMorse :: [Morse]
allowedMorse = M.elems letterToMorse
charGen :: Gen Char
charGen = elements allowedChars
morseGen :: Gen Morse
morseGen = elements allowedMorse
prop_thereAndBackAgain :: Property
prop_thereAndBackAgain =
forAll charGen (\c -> ((charToMorse c) >>= morseToChar) == Just c)
main' :: IO ()
main' = quickCheck prop_thereAndBackAgain
data Trivial = Trivial deriving (Eq, Show)
trivialGen :: Gen Trivial
trivialGen = return Trivial
instance Arbitrary Trivial where
arbitrary = trivialGen
main :: IO ()
main = do
sample trivialGen
data Identity a = Identity a deriving (Eq, Show)
identityGen :: Arbitrary a => Gen (Identity a)
identityGen = do
a <- arbitrary
return (Identity a)
instance Arbitrary a => Arbitrary (Identity a) where
arbitrary = identityGen
identityGenInt :: Gen (Identity Int)
identityGenInt = identityGen
data Pair a b = Pair a b deriving (Eq, Show)
pairGen :: (Arbitrary a, Arbitrary b) => Gen (Pair a b)
pairGen = do
a <- arbitrary
b <- arbitrary
return (Pair a b)
instance (Arbitrary a, Arbitrary b) => Arbitrary (Pair a b) where
arbitrary = pairGen
pairGenIntString :: Gen (Pair Int String)
pairGenIntString = pairGen
data Sum a b = First a | Second b deriving (Eq, Show)
sumGenEqual :: Gen (Sum Char Int)
sumGenEqual = do
a <- arbitrary
b <- arbitrary
oneof [return $ First a,
return $ Second b]
sumGenCharInt :: Gen (Sum Char Int)
sumGenCharInt = sumGenEqual
sumGenFirstPls :: (Arbitrary a, Arbitrary b) => Gen (Sum a b)
sumGenFirstPls = do
a <- arbitrary
b <- arbitrary
frequency [(10, return $ First a),
(1, return $ Second b)]
sumGenCharIntFirst :: Gen (Sum Char Int)
sumGenCharIntFirst = sumGenFirstPls

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name: qc
version: 0.1.0.0
author: Eugen Wissner
maintainer: belka@caraus.de
category: Math
build-type: Simple
cabal-version: >= 1.10
library
hs-source-dirs: src
build-depends: base >= 4.7 && < 5
, QuickCheck
exposed-modules: UsingQuickCheck
ghc-options: -Wall
default-language: Haskell2010
test-suite tests
type: exitcode-stdio-1.0
main-is: UsingQuickCheckTest.hs
hs-source-dirs: tests
ghc-options: -Wall
build-depends: base >= 4.7 && < 5
, QuickCheck
, qc
test-suite idempotence
type: exitcode-stdio-1.0
main-is: Idempotence.hs
hs-source-dirs: tests
ghc-options: -Wall
build-depends: base >= 4.7 && < 5
, QuickCheck

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module UsingQuickCheck where
import Test.QuickCheck
--
-- 1
--
half :: (Eq a, Fractional a) => a -> a
half x = x / 2
halfIdentity :: (Eq a, Fractional a) => a -> a
halfIdentity = (*2) . half
--
-- 2
--
-- for any list you apply sort to
-- this property should hold
listOrdered :: (Ord a) => [a] -> Bool
listOrdered xs =
snd $ foldr go (Nothing, True) xs
where go _ status@(_, False) = status
go y (Nothing, t) = (Just y, t)
go y (Just x, _) = (Just y, x >= y)
--
-- 3
--
plusAssociative :: (Ord a, Integral a) => a -> a -> a -> Bool
plusAssociative x y z = x + (y + z) == (x + y) + z
plusCommutative :: (Ord a, Integral a) => a -> a -> Bool
plusCommutative x y = x + y == y + x
--
-- 4
--
mulAssociative :: (Ord a, Integral a) => a -> a -> a -> Bool
mulAssociative x y z = x * (y * z) == (x * y) * z
mulCommutative :: (Ord a, Integral a) => a -> a -> Bool
mulCommutative x y = x * y == y * x
data Fool = Fulse
| Frue
deriving (Eq, Show)
data Fool' = Fulse' -- 2/3
| Frue' -- 1/3
deriving (Eq, Show)
instance Arbitrary Fool where
arbitrary = oneof [ return Fulse
, return Frue ]
instance Arbitrary Fool' where
arbitrary = frequency [ (3, return Fulse')
, (1, return Frue')]

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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-9.17
# 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

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module Main where
import Data.Char
import Data.List
import Test.QuickCheck
capitalizeWord :: String -> String
capitalizeWord [] = []
capitalizeWord (x:xs) = toUpper x : xs
twice :: (a -> a) -> (a -> a)
twice y = y . y
fourTimes :: (a -> a) -> (a -> a)
fourTimes = twice . twice
f :: String -> Bool
f x =
(capitalizeWord x == twice capitalizeWord x)
&& (capitalizeWord x == fourTimes capitalizeWord x)
f' :: Ord a => [a] -> Bool
f' x =
(sort x == twice sort x)
&& (sort x == fourTimes sort x)
main :: IO ()
main = do
quickCheck f
quickCheck (f' :: String -> Bool)

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module Main where
import Data.List (sort)
import UsingQuickCheck
import Test.QuickCheck
prop_half :: (Eq a, Fractional a) => a -> Bool
prop_half x = (halfIdentity x) == x
associativeGen :: (Integer -> Integer -> Integer -> Bool) -> Gen Bool
associativeGen f = do
x <- (arbitrary :: Gen Integer)
y <- (arbitrary :: Gen Integer)
z <- (arbitrary :: Gen Integer)
elements [f x y z]
commutativeGen :: (Integer -> Integer -> Bool) -> Gen Bool
commutativeGen f = do
x <- (arbitrary :: Gen Integer)
y <- (arbitrary :: Gen Integer)
elements [f x y]
assocNotNegGen :: (Int -> Int -> Int -> Bool) -> Gen Bool
assocNotNegGen f = do
x <- choose (1 :: Int, 100)
y <- choose (1 :: Int, 100)
z <- choose (1 :: Int, 100)
elements [f x y z]
commutNotNegGen :: (Int -> Int -> Bool) -> Gen Bool
commutNotNegGen f = do
x <- choose (1 :: Int, 100)
y <- choose (1 :: Int, 100)
elements [f x y]
prop_quotRem :: Property
prop_quotRem =
forAll (prop_quotRem') (\(x ,y) -> (quot x y) * y + (rem x y) == x)
where prop_quotRem' = do
x <- choose (1 :: Int, 10000)
y <- choose (1 :: Int, 10000)
return (x, y)
prop_divMod :: Property
prop_divMod =
forAll (prop_divMod') (\(x ,y) -> (div x y) * y + (mod x y) == x)
where prop_divMod' = do
x <- choose (1 :: Int, 10000)
y <- choose (1 :: Int, 10000)
return (x, y)
prop_reverse :: Property
prop_reverse =
forAll prop_reverse' (\xs -> (reverse . reverse) xs == id xs)
where prop_reverse' = do
x <- (arbitrary :: Gen [Integer])
return x
prop_dollar :: Property
prop_dollar =
forAll prop_dollar' (\x -> x)
where prop_dollar' = do
x <- (arbitrary :: Gen Integer)
return ((id $ x) == (id x))
prop_point :: Property
prop_point =
forAll prop_point' (\x -> x)
where prop_point' = do
x <- (arbitrary :: Gen Integer)
let pointFunc = negate . id
let appliedFunc = \y -> negate (id y)
return (pointFunc x == appliedFunc x)
prop_foldr1 :: Property
prop_foldr1 =
forAll prop_foldr1' (\x -> x)
where prop_foldr1' = do
x <- (arbitrary :: Gen [Integer])
y <- (arbitrary :: Gen [Integer])
return ((foldr (:) x y) == (x ++ y))
prop_foldr2 :: Property
prop_foldr2 =
forAll prop_foldr2' (\x -> x)
where prop_foldr2' = do
x <- (arbitrary :: Gen [[Integer]])
return ((foldr (++) [] x) == (concat x))
prop_length :: Property
prop_length =
forAll prop_length' (\x -> x)
where prop_length' = do
n <- (arbitrary :: Gen Int)
xs <- (arbitrary :: Gen [Integer])
return ((length (take n xs)) == n)
prop_readShow :: Property
prop_readShow =
forAll prop_readShow' (\x -> x)
where prop_readShow' = do
x <- (arbitrary :: Gen Integer)
return ((read (show x)) == x)
main :: IO ()
main = do
quickCheck (prop_half :: Double -> Bool)
quickCheck $ (listOrdered :: [Int] -> Bool) . sort
quickCheck $ associativeGen plusAssociative
quickCheck $ commutativeGen plusCommutative
quickCheck $ associativeGen mulAssociative
quickCheck $ commutativeGen mulCommutative
quickCheck prop_quotRem
quickCheck prop_divMod
quickCheck $ assocNotNegGen (\x y z -> x ^ (y ^ z) == (x ^ y) ^ z)
quickCheck $ commutNotNegGen (\x y -> x ^ y == y ^ x)
quickCheck prop_reverse
quickCheck prop_dollar
quickCheck prop_point
quickCheck prop_foldr1
quickCheck prop_foldr2
quickCheck prop_length
quickCheck prop_readShow