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|
-- !!! Testing the Prelude's Enum instances.
module Main(main) where
import Control.Exception
import Prelude hiding (catch)
import Data.Char
import Data.Ratio
main = do
-- Enum Int
putStrLn "Testing Enum Int: "
testEnumInt
-- Enum Integer
putStrLn "Testing Enum Integer: "
testEnumInteger
-- Enum Char
putStrLn "Testing Enum Char: "
testEnumChar
-- Enum ()
putStrLn "Testing Enum (): "
testEnumUnit
-- Enum Ordering
putStrLn "Testing Enum Ordering (derived): "
testEnumOrdering
-- Enum Bool
putStrLn "Testing Enum Bool: "
testEnumBool
-- Enum Rational
putStrLn "Testing Enum Rational: "
testEnumRational
-- Enum (Ratio Int)
putStrLn "Testing Enum (Ratio Int): "
testEnumRatioInt
{-
Here's the properties that's supposed to
hold for arithmetic sequences over Int:
- [e1..] = [e1, (e1+1), (e1+2), ..., maxBound]
- [e1,e2..] = [e1, (e1+i), (e1+2*i), ... upper]
where
i = e2 - e1
upper
| i > 0 = maxBound
| i < 0 = minBound
| i == 0 = maxBound -- this really shouldn't matter (I feel.)
- [e1..e3] = [e1, (e1+i), (e1+2*i),..e3]
where
i
| e3 >= e1 = 1
| e3 < e1 = (-1)
- [e1,e2..e3] = res
where
i = e2 - e1
res
| i >= 0 && e3 < e1 = []
| i < 0 && e3 >= e1 = [] -- (*)
| otherwise = [e1, (e1+i), (e1 + 2*i), .. e3]
Note:
(*) - I think this instead should be (i < 0 && e3 > e1), since, as is,
[x,(x+1) ..x] = [x]
[x,(x-1) ..x] = []
which does not look right, symmetrically speaking.
The same properties hold for other Prelude types that
are instances of Enum as well as being Bounded.
For non-Bounded types (e.g., Float and Double), the properties are similar,
except that the boundary tests become slightly different, i.e., when an
element becomes greater than (e3 + i/2) (or less than (e3 + i/2) for negative
i.)
Q - does [(x::Double)..] have an upper bound? (ditto for Float.)
OK - on with the regression testing.
-}
#define printTest(x) (do{ putStr ( " " ++ "x" ++ " = " ) ; print (x) })
testEnumInt :: IO ()
testEnumInt = do
-- succ
printTest ((succ (0::Int)))
printTest ((succ (minBound::Int)))
mayBomb (printTest ((succ (maxBound::Int))))
-- pred
printTest (pred (1::Int))
printTest (pred (maxBound::Int))
mayBomb (printTest (pred (minBound::Int)))
-- toEnum
printTest ((map (toEnum::Int->Int) [1,minBound,maxBound]))
-- fromEnum
printTest ((map fromEnum [(1::Int),minBound,maxBound]))
-- [x..] aka enumFrom
printTest ((take 7 [(1::Int)..]))
printTest ((take 7 [((maxBound::Int)-5)..])) -- just in case it doesn't catch the upper bound..
-- [x,y..] aka enumFromThen
printTest ((take 7 [(1::Int),2..]))
printTest ((take 7 [(1::Int),7..]))
printTest ((take 7 [(1::Int),1..]))
printTest ((take 7 [(1::Int),0..]))
printTest ((take 7 [(5::Int),2..]))
let x = (minBound::Int) + 1
printTest ((take 7 [x, x-1 ..]))
let x = (minBound::Int) + 5
printTest ((take 7 [x, x-1 ..]))
let x = (maxBound::Int) - 5
printTest ((take 7 [x, (x+1) ..]))
-- Test overflow conditions
printTest (([minBound::Int,1..]))
printTest (([minBound::Int,0..]))
printTest (([minBound::Int,-1..]))
printTest (([maxBound::Int,1..]))
printTest (([maxBound::Int,0..]))
printTest (([maxBound::Int,-1..]))
-- [x..y] aka enumFromTo
printTest ((take 7 ([(1::Int) .. 5])))
printTest ((take 4 ([(1::Int) .. 1])))
printTest ((take 7 ([(1::Int) .. 0])))
printTest ((take 7 ([(5::Int) .. 0])))
printTest ((take 7 ([(maxBound-(5::Int)) .. maxBound])))
printTest ((take 7 ([(minBound+(5::Int)) .. minBound])))
-- [x,y..z] aka enumFromThenTo
printTest ((take 7 [(5::Int),4..1]))
printTest ((take 7 [(5::Int),3..1]))
printTest ((take 7 [(5::Int),3..2]))
printTest ((take 7 [(1::Int),2..1]))
printTest ((take 7 [(2::Int),1..2]))
printTest ((take 7 [(2::Int),1..1]))
printTest ((take 7 [(2::Int),3..1]))
-- Test overflow conditions
printTest (([minBound, 1..maxBound::Int]))
printTest (([minBound, 0..maxBound::Int]))
printTest (([minBound,-1..maxBound::Int]))
printTest (([minBound,-1..maxBound-1::Int]))
printTest (([minBound,-1..maxBound-2::Int]))
printTest (([maxBound, 1..minBound::Int]))
printTest (([maxBound, 0..minBound::Int]))
printTest (([maxBound, 0..minBound+1::Int]))
printTest (([maxBound, 0..minBound+2::Int]))
printTest (([maxBound,-1..minBound::Int]))
let x = (maxBound::Int) - 4
printTest ((take 7 [x,(x+1)..maxBound]))
let x = (minBound::Int) + 5
printTest ((take 7 [x,(x-1)..minBound]))
testEnumChar :: IO ()
testEnumChar = do
-- succ
printTest ((succ 'a'))
printTest ((succ (minBound::Char)))
mayBomb (printTest ((succ (maxBound::Char))))
-- pred
printTest ((pred 'b'))
printTest (pred (maxBound::Char))
mayBomb (printTest (pred (minBound::Char)))
-- toEnum
printTest ((map (toEnum::Int->Char) [123,ord (minBound::Char), ord(maxBound::Char)]))
mayBomb (printTest ((toEnum::Int->Char) (minBound::Int)))
-- fromEnum
printTest ((map fromEnum ['X',minBound,maxBound]))
-- [x..] aka enumFrom
-- printTest ((take 7 ['\NUL' .. ]))
do{ putStr ( " " ++ "(take 7 ['\\NUL' .. ])" ++ " = " ) ; print (take 7 ['\NUL' .. ]) }
-- printTest ((take 7 ['\250' .. ]))
do{ putStr ( " " ++ "(take 7 ['\\250' .. ])" ++ " = " ) ; print (take 7 ['\250' .. ]) }
-- [x,y..] aka enumFromThen
printTest ((take 7 ['a','b'..]))
printTest ((take 7 ['a','e'..]))
printTest ((take 7 ['a','a'..]))
printTest ((take 7 ['z','y'..]))
printTest ((take 7 ['z','v'..]))
let x = '\1'
-- printTest ((take 7 ['\1', '\0' ..]))
do{ putStr ( " " ++ "(take 7 ['\\1', '\\0' ..])" ++ " = " ) ; print (take 7 ['\1', '\0' ..]) }
let x = '\5'
-- printTest ((take 7 ['\5', '\4' ..]))
do{ putStr ( " " ++ "(take 7 ['\\5', '\\4' ..])" ++ " = " ) ; print (take 7 ['\5', '\4' ..]) }
let x = (maxBound::Int) - 5
-- printTest ((take 7 ['\250', '\251' ..]))
do{ putStr ( " " ++ "(take 7 ['\\250', '\\251' ..])" ++ " = " ) ; print (take 7 ['\250', '\251' ..]) }
-- [x..y] aka enumFromTo
printTest ((take 7 (['a' .. 'e'])))
printTest ((take 4 (['a' .. 'a'])))
printTest ((take 7 (['b' .. 'a'])))
printTest ((take 7 (['e' .. 'a'])))
-- printTest ((take 7 (['\250' .. '\255'])))
do{ putStr ( " " ++ "(take 7 (['\\250' .. '\\255']))" ++ " = " ) ; print (take 7 (['\250' .. '\255'])) }
-- printTest ((take 7 (['\5' .. '\0'])))
do{ putStr ( " " ++ "(take 7 (['\\5' .. '\\0']))" ++ " = " ) ; print (take 7 (['\5' .. '\0'])) }
-- [x,y..z] aka enumFromThenTo
printTest ((take 7 ['f','e' .. 'b']))
printTest ((take 7 ['g','e' .. 'b']))
printTest ((take 7 ['g','d' .. 'c']))
printTest ((take 7 ['b','c' .. 'b']))
printTest ((take 7 ['c','b' .. 'c']))
printTest ((take 7 ['c','b' .. 'b']))
printTest ((take 7 ['c','d' .. 'b']))
-- printTest ((take 7 ['\251', '\252' .. maxBound]))
do{ putStr ( " " ++ "(take 7 ['\\251', '\\252' .. maxBound])" ++ " = " ) ; print (take 7 ['\251', '\252' .. maxBound]) }
-- printTest ((take 7 ['\5', '\4' .. minBound]))
do{ putStr ( " " ++ "(take 7 ['\\5', '\\4' .. minBound])" ++ " = " ) ; print (take 7 ['\5', '\4' .. minBound]) }
testEnumUnit :: IO ()
testEnumUnit = do
-- succ:
mayBomb (printTest ((succ ())))
mayBomb (printTest ((succ (minBound::()))))
mayBomb (printTest ((succ (maxBound::()))))
-- pred:
mayBomb (printTest ((pred ())))
mayBomb (printTest ((pred (minBound::()))))
mayBomb (printTest ((pred (maxBound::()))))
-- toEnum:
printTest ((toEnum 0)::())
mayBomb (printTest ((toEnum 1)::()))
-- fromEnum:
printTest ((fromEnum ()))
-- enumFrom:
printTest ((take 7 [()..]))
-- enumFromThen:
printTest ((take 7 [(),()..]))
-- enumFromTo
printTest ((take 7 [()..()]))
-- enumFromThenTo
printTest ((take 7 [(),()..()]))
testEnumOrdering :: IO ()
testEnumOrdering = do
-- succ:
printTest ((succ LT))
printTest ((succ (minBound::Ordering)))
mayBomb (printTest ((succ (maxBound::Ordering))))
-- pred:
printTest ((pred GT))
printTest ((pred (maxBound::Ordering)))
mayBomb (printTest ((pred (minBound::Ordering))))
-- toEnum:
printTest ((toEnum 0)::Ordering)
mayBomb (printTest ((toEnum 5)::Ordering))
-- fromEnum:
printTest ((fromEnum LT))
printTest ((fromEnum EQ))
printTest ((fromEnum GT))
-- enumFrom:
printTest (([LT ..]))
printTest (([EQ ..]))
printTest (([GT ..]))
-- enumFromThen:
printTest (([LT,EQ ..]))
printTest (([EQ,GT ..]))
printTest (([EQ,LT ..]))
printTest (([LT,GT ..]))
printTest (([GT,LT ..]))
printTest (take 7 (([GT,GT ..])))
printTest (take 7 (([LT,LT ..])))
-- enumFromTo
printTest (([LT .. GT]))
printTest (([LT .. EQ]))
printTest (([LT .. LT]))
printTest (([GT .. LT]))
printTest (([GT .. EQ]))
printTest (([GT .. GT]))
-- enumFromThenTo
printTest (([LT,EQ .. GT]))
printTest (([GT,EQ .. LT]))
printTest (([GT,EQ .. EQ]))
printTest (([GT,EQ .. GT]))
printTest (([GT,EQ .. LT]))
printTest (([LT,EQ .. LT]))
printTest (([LT,EQ .. GT]))
printTest (take 7 (([LT,LT .. GT])))
printTest (take 7 (([GT,GT .. LT])))
testEnumBool :: IO ()
testEnumBool = do
-- succ:
printTest ((succ False))
printTest ((succ (minBound::Bool)))
mayBomb (printTest ((succ (maxBound::Bool))))
-- pred:
printTest ((pred True))
printTest ((pred (maxBound::Bool)))
mayBomb (printTest ((pred (minBound::Bool))))
-- toEnum:
printTest ((toEnum 0)::Bool)
mayBomb (printTest ((toEnum 5)::Bool))
-- fromEnum:
printTest ((fromEnum False))
printTest ((fromEnum True))
-- enumFrom:
printTest (([False ..]))
printTest (([True ..]))
-- enumFromThen:
printTest (([False,True ..]))
printTest (([True,False ..]))
printTest ((take 7 ([False,False ..])))
printTest ((take 7 ([True,True ..])))
-- enumFromTo
printTest (([False .. True]))
printTest (([True .. False]))
-- enumFromThenTo
printTest (take 7 ([False,False .. False]))
printTest (take 7 ([False,False .. True]))
printTest (take 7 ([False,True .. False]))
printTest (take 7 ([False,True .. True]))
printTest (take 7 ([True,False .. False]))
printTest (take 7 ([True,False .. True]))
printTest (take 7 ([True,True .. False]))
printTest (take 7 ([True,True .. True]))
testEnumInteger :: IO ()
testEnumInteger = do
-- succ
printTest ((succ (0::Integer)))
printTest ((succ ((-1)::Integer)))
-- pred
printTest (pred (1::Integer))
printTest (pred (0::Integer))
-- toEnum
printTest ((map (toEnum::Int->Integer) [1,minBound,maxBound]))
-- fromEnum
printTest ((map fromEnum [(1::Integer),42,45]))
-- [x..] aka enumFrom
printTest ((take 7 [(1::Integer)..]))
printTest ((take 7 [(-5::Integer)..]))
-- [x,y..] aka enumFromThen
printTest ((take 7 [(1::Integer),2..]))
printTest ((take 7 [(1::Integer),7..]))
printTest ((take 7 [(1::Integer),1..]))
printTest ((take 7 [(1::Integer),0..]))
printTest ((take 7 [(5::Integer),2..]))
-- [x..y] aka enumFromTo
printTest ((take 7 ([(1::Integer) .. 5])))
printTest ((take 4 ([(1::Integer) .. 1])))
printTest ((take 7 ([(1::Integer) .. 0])))
printTest ((take 7 ([(5::Integer) .. 0])))
-- [x,y..z] aka enumFromThenTo
printTest ((take 7 [(5::Integer),4..1]))
printTest ((take 7 [(5::Integer),3..1]))
printTest ((take 7 [(5::Integer),3..2]))
printTest ((take 7 [(1::Integer),2..1]))
printTest ((take 7 [(2::Integer),1..2]))
printTest ((take 7 [(2::Integer),1..1]))
printTest ((take 7 [(2::Integer),3..1]))
testEnumRational :: IO ()
testEnumRational = do
-- succ
printTest ((succ (0::Rational)))
printTest ((succ ((-1)::Rational)))
-- pred
printTest (pred (1::Rational))
printTest (pred (0::Rational))
-- toEnum
printTest ((map (toEnum::Int->Rational) [1,minBound,maxBound]))
-- fromEnum
printTest ((map fromEnum [(1::Rational),42,45]))
-- [x..] aka enumFrom
printTest ((take 7 [(1::Rational)..]))
printTest ((take 7 [(-5::Rational)..]))
-- [x,y..] aka enumFromThen
printTest ((take 7 [(1::Rational),2..]))
printTest ((take 7 [(1::Rational),7..]))
printTest ((take 7 [(1::Rational),1..]))
printTest ((take 7 [(1::Rational),0..]))
printTest ((take 7 [(5::Rational),2..]))
-- [x..y] aka enumFromTo
printTest ((take 7 ([(1::Rational) .. 5])))
printTest ((take 4 ([(1::Rational) .. 1])))
printTest ((take 7 ([(1::Rational) .. 0])))
printTest ((take 7 ([(5::Rational) .. 0])))
-- [x,y..z] aka enumFromThenTo
printTest ((take 7 [(5::Rational),4..1]))
printTest ((take 7 [(5::Rational),3..1]))
printTest ((take 7 [(5::Rational),3..2]))
printTest ((take 7 [(1::Rational),2..1]))
printTest ((take 7 [(2::Rational),1..2]))
printTest ((take 7 [(2::Rational),1..1]))
printTest ((take 7 [(2::Rational),3..1]))
testEnumRatioInt :: IO ()
testEnumRatioInt = do
-- succ
printTest ((succ (0::Ratio Int)))
printTest ((succ ((-1)::Ratio Int)))
-- pred
printTest (pred (1::Ratio Int))
printTest (pred (0::Ratio Int))
-- toEnum
printTest ((map (toEnum::Int->Ratio Int) [1,minBound,maxBound]))
-- fromEnum
printTest ((map fromEnum [(1::Ratio Int),42,45]))
-- [x..] aka enumFrom
printTest ((take 7 [(1::Ratio Int)..]))
printTest ((take 7 [(-5::Ratio Int)..]))
printTest ((take 7 [((toEnum ((maxBound::Int)-5))::Ratio Int)..]))
-- [x,y..] aka enumFromThen
printTest ((take 7 [(1::Ratio Int),2..]))
printTest ((take 7 [(1::Ratio Int),7..]))
printTest ((take 7 [(1::Ratio Int),1..]))
printTest ((take 7 [(1::Ratio Int),0..]))
printTest ((take 7 [(5::Ratio Int),2..]))
let x = (toEnum ((minBound::Int) + 1))::Ratio Int
printTest ((take 7 [x, x-1 ..]))
let x = (toEnum ((minBound::Int) + 5))::Ratio Int
printTest ((take 7 [x, x-1 ..]))
let x = (toEnum ((maxBound::Int) - 5))::Ratio Int
printTest ((take 7 [x, (x+1) ..]))
-- [x..y] aka enumFromTo
printTest ((take 7 ([(1::Ratio Int) .. 5])))
printTest ((take 4 ([(1::Ratio Int) .. 1])))
printTest ((take 7 ([(1::Ratio Int) .. 0])))
printTest ((take 7 ([(5::Ratio Int) .. 0])))
let x = (toEnum (maxBound - (5::Int))) :: Ratio Int
let y = (toEnum (maxBound::Int)) :: Ratio Int
printTest ((take 7 ([x..y])))
let x = (toEnum (minBound + (5::Int))) :: Ratio Int
let y = (toEnum (minBound::Int)) :: Ratio Int
printTest ((take 7 ([x..y])))
-- [x,y..z] aka enumFromThenTo
printTest ((take 7 [(5::Ratio Int),4..1]))
printTest ((take 7 [(5::Ratio Int),3..1]))
printTest ((take 7 [(5::Ratio Int),3..2]))
printTest ((take 7 [(1::Ratio Int),2..1]))
printTest ((take 7 [(2::Ratio Int),1..2]))
printTest ((take 7 [(2::Ratio Int),1..1]))
printTest ((take 7 [(2::Ratio Int),3..1]))
let x = (toEnum ((maxBound::Int) - 4)) :: Ratio Int
let y = (toEnum (maxBound::Int)) :: Ratio Int
printTest ((take 7 [x,(x+1)..y]))
let x = (toEnum ((minBound::Int) + 5)) :: Ratio Int
let y = (toEnum (minBound::Int)) :: Ratio Int
printTest ((take 7 [x,(x-1)..y]))
--
--
-- Utils
--
--
mayBomb x = catch x (\(ErrorCall e) -> putStrLn ("error " ++ show e))
`catch` (\e -> putStrLn ("Fail: " ++ show (e :: SomeException)))
test :: Show a => String -> String -> a -> IO ()
test test_nm expected val = do
putStr test_nm
if expected == got then
putStrLn ": SUCCEEDED"
else do
putStr ": FAILED"
putStrLn ("( expected: " ++ show expected ++ " , got: " ++ show got ++ " )")
where
got = show val
|