Safe Haskell | None |
---|---|
Language | Haskell2010 |
- Type
- Quasi-quoters
- Splice expressions
- Splice patterns
- Converting between D10 and Char
- Converting between D10 and String
- Converting between [D10] and String
- Converting between D10 and Natural
- Converting between D10 and Integer
- Converting between D10 and Int
- Converting between D10 and general numeric types
- Modular arithmetic
Synopsis
- newtype D10 = D10_Unsafe Char
- d10 :: QuasiQuoter
- d10list :: QuasiQuoter
- d10Exp :: Integral a => a -> Q Exp
- d10ListExp :: String -> Q Exp
- d10Pat :: D10 -> Q Pat
- d10ListPat :: [D10] -> Q Pat
- d10Char :: D10 -> Char
- charD10Maybe :: Char -> Maybe D10
- charD10Either :: Char -> Either String D10
- charD10Fail :: MonadFail m => Char -> m D10
- d10Str :: D10 -> String
- strD10Maybe :: String -> Maybe D10
- strD10Either :: String -> Either String D10
- strD10Fail :: MonadFail m => String -> m D10
- isD10Str :: String -> Bool
- strD10ListMaybe :: String -> Maybe [D10]
- strD10ListEither :: String -> Either String [D10]
- strD10ListFail :: MonadFail m => String -> m [D10]
- d10Nat :: D10 -> Natural
- natD10Maybe :: Natural -> Maybe D10
- natD10Either :: Natural -> Either String D10
- natD10Fail :: MonadFail m => Natural -> m D10
- natMod10 :: Natural -> D10
- d10Integer :: D10 -> Integer
- integerD10Maybe :: Integer -> Maybe D10
- integerD10Either :: Integer -> Either String D10
- integerD10Fail :: MonadFail m => Integer -> m D10
- integerMod10 :: Integer -> D10
- d10Int :: D10 -> Int
- intD10Maybe :: Int -> Maybe D10
- intD10Either :: Int -> Either String D10
- intD10Fail :: MonadFail m => Int -> m D10
- intMod10 :: Int -> D10
- d10Num :: Num a => D10 -> a
- integralD10Maybe :: Integral a => a -> Maybe D10
- integralD10Either :: Integral a => a -> Either String D10
- integralD10Fail :: (Integral a, MonadFail m) => a -> m D10
- integralMod10 :: Integral a => a -> D10
- (+) :: D10 -> D10 -> D10
- (-) :: D10 -> D10 -> D10
- (*) :: D10 -> D10 -> D10
Type
A Char
value between '0'
and '9'
.
The Data.D10.Char module provides many functions for
constructing D10
values, including:
integerD10Maybe
::Integer
->Maybe
D10
integerMod10
::Integer
->D10
With the QuasiQuotes
GHC extension enabled, you can write
D10
literals using the quasi-quoters d10
and d10list
.
D10_Unsafe Char | The constructor's name include the word "unsafe" as a reminder
that you should generally avoid using it directly, because it
allows constructing invalid |
Bounded
>>>
minBound :: D10
[d10|0|]
>>>
maxBound :: D10
[d10|9|]
Enum
>>>
[ [d10|5|] .. ]
[d10list|56789|]
>>>
[ [d10|4|] .. [d10|7|] ]
[d10list|4567|]
>>>
[ [d10|5|], [d10|4|] .. ]
[d10list|543210|]
>>>
[ [d10|1|], [d10|3|] .. ]
[d10list|13579|]
>>>
[ minBound .. maxBound ] :: [D10]
[d10list|0123456789|]
Quasi-quoters
d10 :: QuasiQuoter Source #
A single base-10 digit.
This quasi-quoter, when used as an expression, produces a
value of type D10
.
>>>
d10Nat [d10|5|]
5
>>>
d10Nat [d10|a|]
... ... d10 must be between 0 and 9 ...
>>>
d10Nat [d10|58|]
... ... d10 must be a single character ...
This quasi-quoter can also be used as a pattern.
>>>
:{
case (charD10Maybe '5') of Just [d10|4|] -> "A" Just [d10|5|] -> "B" _ -> "C">>>
:}
"B"
>>>
:{
case (charD10Maybe '5') of Just [d10|x|] -> "A" Just [d10|5|] -> "B" _ -> "C">>>
:}
... ... d10 must be between 0 and 9 ...
d10list :: QuasiQuoter Source #
A list of base-10 digits.
This quasi-quoter, when used as an expression, produces a
value of type [
.D10
]
>>>
d10Nat <$> [d10list||]
[]
>>>
d10Nat <$> [d10list|5|]
[5]
>>>
d10Nat <$> [d10list|58|]
[5,8]
>>>
d10Nat <$> [d10list|a|]
... ... d10 must be between 0 and 9 ...
This quasi-quoter can also be used as a pattern.
>>>
:{
case [d10list|56|] of [d10list|41|] -> "A" [d10list|56|] -> "B" _ -> "C">>>
:}
"B"
>>>
:{
case [d10list|56|] of [d10list|4x|] -> "A" [d10list|56|] -> "B" _ -> "C">>>
:}
... ... d10 must be between 0 and 9 ...
Splice expressions
d10ListExp :: String -> Q Exp Source #
Produces an expression of type [
that can be used
in a Template Haskell splice.D10
]
>>>
d10Nat <$> $(d10ListExp "")
[]
>>>
d10Nat <$> $(d10ListExp "5")
[5]
>>>
d10Nat <$> $(d10ListExp "58")
[5,8]
>>>
d10Nat <$> $(d10ListExp "a")
... ... d10 must be between 0 and 9 ...
You may also be interested in d10list
, a quasi-quoter which
does something similar.
Splice patterns
Converting between D10 and Char
charD10Maybe :: Char -> Maybe D10 Source #
Convert a Char
to a D10
if it is within the range
'0'
to '9'
, or produce Nothing
otherwise.
isD10Char
x =isJust
(charD10Maybe
x)
charD10Fail
is a more general version of this function.
>>>
charD10Maybe '5'
Just [d10|5|]
>>>
charD10Maybe 'a'
Nothing
charD10Fail :: MonadFail m => Char -> m D10 Source #
Convert a Char
to a D10
if it is within the range
'0'
to '9'
, or fail
with an error message otherwise.
charD10Maybe
is a specialized version of this function.
>>>
charD10Fail '5' :: IO D10
[d10|5|]
>>>
charD10Fail 'a' :: IO D10
*** Exception: user error (d10 must be between 0 and 9)
Converting between D10 and String
strD10Maybe :: String -> Maybe D10 Source #
Convert a String
to a D10
if it consists of exactly one
character and that character is within the range '0'
to '9'
,
or produce Nothing
otherwise.
isD10Str
x =isJust
(strD10Maybe
x)
strD10Fail
is a more general version of this function.
>>>
strD10Maybe "5"
Just [d10|5|]
>>>
strD10Maybe "a"
Nothing
>>>
strD10Maybe "58"
Nothing
strD10Either :: String -> Either String D10 Source #
Convert a String
to a D10
if it consists of a single
character and that character is within the range '0'
to
'9'
, or Left
with an error message otherwise.
>>>
strD10Either "5"
Right [d10|5|]
>>>
strD10Either "a"
Left "d10 must be between 0 and 9"
>>>
strD10Either "58"
Left "d10 must be a single character"
strD10Fail :: MonadFail m => String -> m D10 Source #
Convert a String
to a D10
if it consists of a single
character and that character is within the range '0'
to
'9'
, or fail
with an error message otherwise.
strD10Maybe
is a specialized version of this function.
>>>
strD10Fail "5" :: IO D10
[d10|5|]
>>>
strD10Fail "a" :: IO D10
*** Exception: user error (d10 must be between 0 and 9)
>>>
strD10Fail "58" :: IO D10
*** Exception: user error (d10 must be a single character)
isD10Str :: String -> Bool Source #
Determines whether a String
consists of a single character
and that character is within the range '0'
to '9'
.
Converting between [D10] and String
strD10ListMaybe :: String -> Maybe [D10] Source #
Convert a String
to a list of D10
if all of the characters
in the string are within the range '0'
to '9'
, or produce
Nothing
otherwise.
isD10Str
x =isJust
(strD10ListMaybe
x)
strD10ListFail
is a more general version of this function.
>>>
strD10ListMaybe "5"
Just [d10list|5|]
>>>
strD10ListMaybe "a"
Nothing
>>>
strD10ListMaybe "58"
Just [d10list|58|]
strD10ListFail :: MonadFail m => String -> m [D10] Source #
Convert a String
to a D10
if all of the characters in
the string fall within the range '0'
to '9'
, or fail
with an error message otherwise.
strD10ListMaybe
is a specialized version of this function.
>>>
strD10ListFail "5" :: IO [D10]
[d10list|5|]
>>>
strD10ListFail "a" :: IO [D10]
*** Exception: user error (d10 must be between 0 and 9)
>>>
strD10ListFail "58" :: IO [D10]
[d10list|58|]
Converting between D10 and Natural
natD10Maybe :: Natural -> Maybe D10 Source #
Convert a Natural
to a D10
if it is less than 10,
or produce Nothing
otherwise.
isD10Nat
x =isJust
(natD10Maybe
x)
integralD10Maybe
, natD10Fail
, and integralD10Fail
are more general versions of this function.
>>>
natD10Maybe 5
Just [d10|5|]
>>>
natD10Maybe 12
Nothing
natD10Fail :: MonadFail m => Natural -> m D10 Source #
Convert a Natural
to a D10
if it is less than 10,
or fail
with an error message otherwise.
natD10Maybe
is a specialized version of this function.
integralD10Fail
is a more general version of this function.
>>>
natD10Fail 5 :: IO D10
[d10|5|]
>>>
natD10Fail 12 :: IO D10
*** Exception: user error (d10 must be less than 10)
natMod10 :: Natural -> D10 Source #
The D10
which is uniquely congruent modulo 10 to the given Natural
.
integralMod10
is a more general version of this function.
>>>
natMod10 56
[d10|6|]
Converting between D10 and Integer
d10Integer :: D10 -> Integer Source #
integerD10Maybe :: Integer -> Maybe D10 Source #
Convert an Integer
to a D10
if it is within the range 0 to 9,
or produce Nothing
otherwise.
isD10Integer
x =isJust
(integerD10Maybe
x)
integralD10Maybe
, integerD10Fail
, and integralD10Fail
are more general versions of this function.
>>>
integerD10Maybe 5
Just [d10|5|]
>>>
integerD10Maybe 12
Nothing
>>>
integerD10Maybe (-5)
Nothing
integerD10Fail :: MonadFail m => Integer -> m D10 Source #
Convert an Integer
to a D10
if it is within the
range 0 to 9, or fail
with an error message otherwise.
integerD10Maybe
is a specialized version of this function.
integralD10Fail
is a more general version of this function.
>>>
integerD10Fail 5 :: IO D10
[d10|5|]
>>>
integerD10Fail 12 :: IO D10
*** Exception: user error (d10 must be between 0 and 9)
>>>
integerD10Fail (-5) :: IO D10
*** Exception: user error (d10 must be between 0 and 9)
integerMod10 :: Integer -> D10 Source #
The D10
which is uniquely congruent modulo 10 to the given Integer
.
integralMod10
is a more general version of this function.
>>>
integerMod10 56
[d10|6|]
>>>
integerMod10 (-56)
[d10|4|]
Converting between D10 and Int
intD10Maybe :: Int -> Maybe D10 Source #
Convert an Int
to a D10
if it is within the range 0 to 9,
or produce Nothing
otherwise.
isD10Int
x =isJust
(intD10Maybe
x)
integralD10Maybe
, intD10Fail
, and integralD10Fail
are more general versions of this function.
>>>
intD10Maybe 5
Just [d10|5|]
>>>
intD10Maybe 12
Nothing
>>>
intD10Maybe (-5)
Nothing
intD10Fail :: MonadFail m => Int -> m D10 Source #
Convert an Int
to a D10
if it is within the range
0 to 9, or fail
with an error message otherwise.
intD10Maybe
is a specialized version of this function.
integralD10Fail
is a more general version of this function.
>>>
intD10Fail 5 :: IO D10
[d10|5|]
>>>
intD10Fail 12 :: IO D10
*** Exception: user error (d10 must be between 0 and 9)
>>>
intD10Fail (-5) :: IO D10
*** Exception: user error (d10 must be between 0 and 9)
intMod10 :: Int -> D10 Source #
The D10
which is uniquely congruent modulo 10 to the given Int
.
integralMod10
is a more general version of this function.
>>>
intMod10 56
[d10|6|]
>>>
intMod10 (-56)
[d10|4|]
Converting between D10 and general numeric types
d10Num :: Num a => D10 -> a Source #
Convert a D10
to any kind of number with a Num
instance.
Specialized versions of this function include d10Nat
,
d10Integer
, and d10Int
.
>>>
d10Num [d10|7|] :: Integer
7
integralD10Maybe :: Integral a => a -> Maybe D10 Source #
Construct a D10
from any kind of number with an Integral
instance, or produce Nothing
if the number falls outside the
range 0 to 9.
isD10Integral
x =isJust
(integralD10Maybe
x)
Specialized versions of this function include natD10Maybe
,
integerD10Maybe
, and intD10Maybe
.
integralD10Fail
is a more general version of this function.
>>>
integralD10Maybe (5 :: Integer)
Just [d10|5|]
>>>
integralD10Maybe (12 :: Integer)
Nothing
>>>
integralD10Maybe ((-5) :: Integer)
Nothing
integralD10Either :: Integral a => a -> Either String D10 Source #
Convert a number of a type that has an Integral
instance
to a D10
if it falls within the range 0 to 9, or Left
with an error message otherwise.
>>>
integralD10Either (5 :: Integer)
Right [d10|5|]
>>>
integralD10Either (12 :: Integer)
Left "d10 must be between 0 and 9"
>>>
integralD10Either ((-5) :: Integer)
Left "d10 must be between 0 and 9"
integralD10Fail :: (Integral a, MonadFail m) => a -> m D10 Source #
Convert a number of a type that has an Integral
instance
to a D10
if it falls within the range 0 to 9, or fail
with an error message otherwise.
natD10Maybe
, integerD10Maybe
, intD10Maybe
,
integralD10Maybe
, natD10Fail
, integerD10Fail
, and
intD10Fail
are all specialized versions of this function.
>>>
integralD10Fail (5 :: Integer) :: IO D10
[d10|5|]
>>>
integralD10Fail (12 :: Integer) :: IO D10
*** Exception: user error (d10 must be between 0 and 9)
>>>
integralD10Fail ((-5) :: Integer) :: IO D10
*** Exception: user error (d10 must be between 0 and 9)
integralMod10 :: Integral a => a -> D10 Source #
The D10
which is uniquely congruent modulo 10 to the given number
(whose type must have an instance of the Integral
class).
Specialized versions of this function include natMod10
,
integerMod10
, and intMod10
.
>>>
integralMod10 (56 :: Integer)
[d10|6|]
>>>
integralMod10 ((-56) :: Integer)
[d10|4|]
Modular arithmetic
(+) :: D10 -> D10 -> D10 Source #
Addition modulo 10.
>>>
[d10|2|] + [d10|3|]
[d10|5|]
>>>
[d10|6|] + [d10|7|]
[d10|3|]