D10.Num.Conversions

D10 / Char

d10Char :: Integral a => D10 a -> Char

Convert a D10 to its underlying Char representation.

>>> d10Char [d10|7|]
'7'

charD10Maybe :: Num a => Char -> Maybe (D10 a)

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

charD10Either :: Num a => Char -> Either String (D10 a)

Convert a Char to a D10 if it is within the range '0' to '9', or Left with an error message otherwise.

>>> charD10Either '5'
Right [d10|5|]

>>> charD10Either 'a'
Left "d10 must be between 0 and 9"

charD10Fail :: (Num a, MonadFail m) => Char -> m (D10 a)

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 Int)
[d10|5|]

>>> charD10Fail 'a' :: IO (D10 Int)
*** Exception: user error (d10 must be between 0 and 9)

D10 / String

d10Str :: Integral a => D10 a -> String

Convert a D10 to a String.

d10Str x = [d10Char x]

>>> d10Str [d10|7|]
"7"

strD10Maybe :: Num a => String -> Maybe (D10 a)

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 :: Num a => String -> Either String (D10 a)

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 :: (Num a, MonadFail m) => String -> m (D10 a)

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 Int)
[d10|5|]

>>> strD10Fail "a" :: IO (D10 Int)
*** Exception: user error (d10 must be between 0 and 9)

>>> strD10Fail "58" :: IO (D10 Int)
*** Exception: user error (d10 must be a single character)

[D10] / String

strD10ListMaybe :: Num a => String -> Maybe [D10 a]

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.

isD10ListStr 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|]

strD10ListEither :: Num a => String -> Either String [D10 a]

Convert a String to a D10 if all of the characters in the string fall within the range '0' to '9', or Left with an error message otherwise.

>>> strD10ListEither "5"
Right [d10list|5|]

>>> strD10ListEither "a"
Left "d10 must be between 0 and 9"

>>> strD10ListEither "58"
Right [d10list|58|]

strD10ListFail :: (Num a, MonadFail m) => String -> m [D10 a]

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 Int]
[d10list|5|]

>>> strD10ListFail "a" :: IO [D10 Int]
*** Exception: user error (d10 must be between 0 and 9)

>>> strD10ListFail "58" :: IO [D10 Int]
[d10list|58|]

D10 / Natural

d10Nat :: Integral a => D10 a -> Natural

Convert a D10 to a Natural.

d10Num is a more general version of this function.

>>> d10Nat [d10|7|]
7

natD10Maybe :: Num a => Natural -> Maybe (D10 a)

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

natD10Either :: Num a => Natural -> Either String (D10 a)

Convert a Natural to a D10 if it is less than 10, or Left with an error message otherwise.

>>> natD10Either 5
Right [d10|5|]

>>> natD10Either 12
Left "d10 must be less than 10"

natD10Fail :: (Num a, MonadFail m) => Natural -> m (D10 a)

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 Int)
[d10|5|]

>>> natD10Fail 12 :: IO (D10 Int)
*** Exception: user error (d10 must be less than 10)

natMod10 :: Num a => Natural -> D10 a

The D10 which is uniquely congruent modulo 10 to the given Natural.

integralMod10 is a more general version of this function.

>>> natMod10 56 :: D10 Int
[d10|6|]

D10 / Integer

d10Integer :: Integral a => D10 a -> Integer

Convert a D10 to an Integer.

d10Num is a more general version of this function.

>>> d10Integer [d10|7|]
7

integerD10Maybe :: Num a => Integer -> Maybe (D10 a)

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

integerD10Either :: Num a => Integer -> Either String (D10 a)

Convert an Integer to a D10 if it is within the range 0 to 9, or Left with an error message otherwise.

>>> integerD10Either 5
Right [d10|5|]

>>> integerD10Either 12
Left "d10 must be between 0 and 9"

>>> integerD10Either (-5)
Left "d10 must be between 0 and 9"

integerD10Fail :: (Num a, MonadFail m) => Integer -> m (D10 a)

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 Int)
[d10|5|]

>>> integerD10Fail 12 :: IO (D10 Int)
*** Exception: user error (d10 must be between 0 and 9)

>>> integerD10Fail (-5) :: IO (D10 Int)
*** Exception: user error (d10 must be between 0 and 9)

integerMod10 :: Num a => Integer -> D10 a

The D10 which is uniquely congruent modulo 10 to the given Integer.

integralMod10 is a more general version of this function.

>>> integerMod10 56 :: D10 Int
[d10|6|]

>>> integerMod10 (-56) :: D10 Int
[d10|4|]

D10 / Int

d10Int :: Integral a => D10 a -> Int

Convert a D10 to an Int.

d10Num is a more general version of this function.

>>> d10Int [d10|7|]
7

intD10Maybe :: Num a => Int -> Maybe (D10 a)

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

intD10Either :: Num a => Int -> Either String (D10 a)

Convert an Int to a D10 if it is within the range 0 to 9, or Left with an error message otherwise.

>>> intD10Either 5
Right [d10|5|]

>>> intD10Either 12
Left "d10 must be between 0 and 9"

>>> intD10Either (-5)
Left "d10 must be between 0 and 9"

intD10Fail :: (Num a, MonadFail m) => Int -> m (D10 a)

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 Int)
[d10|5|]

>>> intD10Fail 12 :: IO (D10 Int)
*** Exception: user error (d10 must be between 0 and 9)

>>> intD10Fail (-5) :: IO (D10 Int)
*** Exception: user error (d10 must be between 0 and 9)

intMod10 :: Num a => Int -> D10 a

The D10 which is uniquely congruent modulo 10 to the given Int.

integralMod10 is a more general version of this function.

>>> intMod10 56 :: D10 Int
[d10|6|]

>>> intMod10 (-56) :: D10 Int
[d10|4|]

D10 / general numeric types

d10Num :: (Integral b, Num a) => D10 b -> a

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 :: (Num b, Integral a) => a -> Maybe (D10 b)

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 :: (Num b, Integral a) => a -> Either String (D10 b)

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 :: (Num b, Integral a, MonadFail m) => a -> m (D10 b)

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 Int)
[d10|5|]

>>> integralD10Fail (12 :: Integer) :: IO (D10 Int)
*** Exception: user error (d10 must be between 0 and 9)

>>> integralD10Fail ((-5) :: Integer) :: IO (D10 Int)
*** Exception: user error (d10 must be between 0 and 9)

integralMod10 :: (Num b, Integral a) => a -> D10 b

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 Int
[d10|6|]

>>> integralMod10 ((-56) :: Integer) :: D10 Int
[d10|4|]