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Language	Haskell2010

Numeric.Decimal.BoundedArithmetic

Contents

Arith Monad
Bounded

Synopsis

data Arith a
- = Arith !a
- | ArithError !SomeException
arithM :: MonadThrow m => Arith a -> m a
arithMaybe :: Arith a -> Maybe a
arithEither :: Arith a -> Either SomeException a
plusBounded :: (MonadThrow m, Ord a, Num a, Bounded a) => a -> a -> m a
minusBounded :: (MonadThrow m, Ord a, Num a, Bounded a) => a -> a -> m a
timesBounded :: (MonadThrow m, Integral a, Bounded a) => a -> a -> m a
absBounded :: (MonadThrow m, Num p, Ord p) => p -> m p
fromIntegerBounded :: forall m a. (MonadThrow m, Integral a, Bounded a) => Integer -> m a
divBounded :: (MonadThrow m, Integral a, Bounded a) => a -> a -> m a
quotBounded :: (MonadThrow m, Integral a, Bounded a) => a -> a -> m a
quotRemBounded :: (MonadThrow m, Integral a, Bounded a) => a -> a -> m (a, a)

Arith Monad

data Arith a Source #

Monad for performing safe computation

Constructors

Arith !a
ArithError !SomeException

Instances

Monad Arith Source #
Instance details Defined in Numeric.Decimal.BoundedArithmetic Methods (>>=) :: Arith a -> (a -> Arith b) -> Arith b # (>>) :: Arith a -> Arith b -> Arith b # return :: a -> Arith a # fail :: String -> Arith a #
Functor Arith Source #
Instance details Defined in Numeric.Decimal.BoundedArithmetic Methods fmap :: (a -> b) -> Arith a -> Arith b # (<$) :: a -> Arith b -> Arith a #
Applicative Arith Source #
Instance details Defined in Numeric.Decimal.BoundedArithmetic Methods pure :: a -> Arith a # (<>) :: Arith (a -> b) -> Arith a -> Arith b # liftA2 :: (a -> b -> c) -> Arith a -> Arith b -> Arith c # (>) :: Arith a -> Arith b -> Arith b # (<*) :: Arith a -> Arith b -> Arith a #
MonadThrow Arith Source #
Instance details Defined in Numeric.Decimal.BoundedArithmetic Methods throwM :: Exception e => e -> Arith a #
KnownNat s => Fractional (Arith (Decimal r s Word64)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) # recip :: Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) # fromRational :: Rational -> Arith (Decimal r s Word64) #
KnownNat s => Fractional (Arith (Decimal r s Word32)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) # recip :: Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) # fromRational :: Rational -> Arith (Decimal r s Word32) #
KnownNat s => Fractional (Arith (Decimal r s Word16)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) # recip :: Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) # fromRational :: Rational -> Arith (Decimal r s Word16) #
KnownNat s => Fractional (Arith (Decimal r s Word8)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) # recip :: Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) # fromRational :: Rational -> Arith (Decimal r s Word8) #
KnownNat s => Fractional (Arith (Decimal r s Word)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Word) -> Arith (Decimal r s Word) -> Arith (Decimal r s Word) # recip :: Arith (Decimal r s Word) -> Arith (Decimal r s Word) # fromRational :: Rational -> Arith (Decimal r s Word) #
KnownNat s => Fractional (Arith (Decimal r s Int64)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) # recip :: Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) # fromRational :: Rational -> Arith (Decimal r s Int64) #
KnownNat s => Fractional (Arith (Decimal r s Int32)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) # recip :: Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) # fromRational :: Rational -> Arith (Decimal r s Int32) #
KnownNat s => Fractional (Arith (Decimal r s Int16)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) # recip :: Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) # fromRational :: Rational -> Arith (Decimal r s Int16) #
KnownNat s => Fractional (Arith (Decimal r s Int8)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) # recip :: Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) # fromRational :: Rational -> Arith (Decimal r s Int8) #
KnownNat s => Fractional (Arith (Decimal r s Int)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Int) -> Arith (Decimal r s Int) -> Arith (Decimal r s Int) # recip :: Arith (Decimal r s Int) -> Arith (Decimal r s Int) # fromRational :: Rational -> Arith (Decimal r s Int) #
KnownNat s => Fractional (Arith (Decimal r s Integer)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (/) :: Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) # recip :: Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) # fromRational :: Rational -> Arith (Decimal r s Integer) #
KnownNat s => Num (Arith (Decimal r s Word64)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) # (-) :: Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) # (*) :: Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) # negate :: Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) # abs :: Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) # signum :: Arith (Decimal r s Word64) -> Arith (Decimal r s Word64) # fromInteger :: Integer -> Arith (Decimal r s Word64) #
KnownNat s => Num (Arith (Decimal r s Word32)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) # (-) :: Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) # (*) :: Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) # negate :: Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) # abs :: Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) # signum :: Arith (Decimal r s Word32) -> Arith (Decimal r s Word32) # fromInteger :: Integer -> Arith (Decimal r s Word32) #
KnownNat s => Num (Arith (Decimal r s Word16)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) # (-) :: Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) # (*) :: Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) # negate :: Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) # abs :: Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) # signum :: Arith (Decimal r s Word16) -> Arith (Decimal r s Word16) # fromInteger :: Integer -> Arith (Decimal r s Word16) #
KnownNat s => Num (Arith (Decimal r s Word8)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) # (-) :: Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) # (*) :: Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) # negate :: Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) # abs :: Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) # signum :: Arith (Decimal r s Word8) -> Arith (Decimal r s Word8) # fromInteger :: Integer -> Arith (Decimal r s Word8) #
KnownNat s => Num (Arith (Decimal r s Word)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Word) -> Arith (Decimal r s Word) -> Arith (Decimal r s Word) # (-) :: Arith (Decimal r s Word) -> Arith (Decimal r s Word) -> Arith (Decimal r s Word) # (*) :: Arith (Decimal r s Word) -> Arith (Decimal r s Word) -> Arith (Decimal r s Word) # negate :: Arith (Decimal r s Word) -> Arith (Decimal r s Word) # abs :: Arith (Decimal r s Word) -> Arith (Decimal r s Word) # signum :: Arith (Decimal r s Word) -> Arith (Decimal r s Word) # fromInteger :: Integer -> Arith (Decimal r s Word) #
KnownNat s => Num (Arith (Decimal r s Int64)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) # (-) :: Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) # (*) :: Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) # negate :: Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) # abs :: Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) # signum :: Arith (Decimal r s Int64) -> Arith (Decimal r s Int64) # fromInteger :: Integer -> Arith (Decimal r s Int64) #
KnownNat s => Num (Arith (Decimal r s Int32)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) # (-) :: Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) # (*) :: Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) # negate :: Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) # abs :: Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) # signum :: Arith (Decimal r s Int32) -> Arith (Decimal r s Int32) # fromInteger :: Integer -> Arith (Decimal r s Int32) #
KnownNat s => Num (Arith (Decimal r s Int16)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) # (-) :: Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) # (*) :: Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) # negate :: Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) # abs :: Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) # signum :: Arith (Decimal r s Int16) -> Arith (Decimal r s Int16) # fromInteger :: Integer -> Arith (Decimal r s Int16) #
KnownNat s => Num (Arith (Decimal r s Int8)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) # (-) :: Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) # (*) :: Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) # negate :: Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) # abs :: Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) # signum :: Arith (Decimal r s Int8) -> Arith (Decimal r s Int8) # fromInteger :: Integer -> Arith (Decimal r s Int8) #
KnownNat s => Num (Arith (Decimal r s Int)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Int) -> Arith (Decimal r s Int) -> Arith (Decimal r s Int) # (-) :: Arith (Decimal r s Int) -> Arith (Decimal r s Int) -> Arith (Decimal r s Int) # (*) :: Arith (Decimal r s Int) -> Arith (Decimal r s Int) -> Arith (Decimal r s Int) # negate :: Arith (Decimal r s Int) -> Arith (Decimal r s Int) # abs :: Arith (Decimal r s Int) -> Arith (Decimal r s Int) # signum :: Arith (Decimal r s Int) -> Arith (Decimal r s Int) # fromInteger :: Integer -> Arith (Decimal r s Int) #
KnownNat s => Num (Arith (Decimal r s Integer)) Source #
Instance details Defined in Numeric.Decimal.Internal Methods (+) :: Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) # (-) :: Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) # (*) :: Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) # negate :: Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) # abs :: Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) # signum :: Arith (Decimal r s Integer) -> Arith (Decimal r s Integer) # fromInteger :: Integer -> Arith (Decimal r s Integer) #
Show a => Show (Arith a) Source #
Instance details Defined in Numeric.Decimal.BoundedArithmetic Methods showsPrec :: Int -> Arith a -> ShowS # show :: Arith a -> String # showList :: [Arith a] -> ShowS #

arithM :: MonadThrow m => Arith a -> m a Source #

Convert Arith computation to any MonadThrow

>>> import Numeric.Decimal
>>> :set -XDataKinds
>>> arithM (1.1 * 123 :: Arith (Decimal RoundDown 3 Int))
135.300
>>> arithM (1.1 - 123 :: Arith (Decimal RoundDown 3 Word))
*** Exception: arithmetic underflow
>>> 1.1 - 123 :: Arith (Decimal RoundDown 3 Word)
ArithError arithmetic underflow

Since: 0.2.0

arithMaybe :: Arith a -> Maybe a Source #

A version of arithM restricted to Maybe

Since: 0.2.0

arithEither :: Arith a -> Either SomeException a Source #

A version of arithM restricted to Either

Since: 0.2.0

Bounded

plusBounded :: (MonadThrow m, Ord a, Num a, Bounded a) => a -> a -> m a Source #

Add two bounded numbers while checking for Overflow/Underflow

Since: 0.1.0

minusBounded :: (MonadThrow m, Ord a, Num a, Bounded a) => a -> a -> m a Source #

Subtract two bounded numbers while checking for Overflow/Underflow

Since: 0.1.0

timesBounded :: (MonadThrow m, Integral a, Bounded a) => a -> a -> m a Source #

Multiply two numbers while checking for Overflow

Since: 0.1.0

absBounded :: (MonadThrow m, Num p, Ord p) => p -> m p Source #

Compute absolute value, while checking for Overflow

Since: 0.2.0

fromIntegerBounded :: forall m a. (MonadThrow m, Integral a, Bounded a) => Integer -> m a Source #

Convert from an unbounded Integer to a Bounded Integral, while checking for bounds and raising Overflow/Underflow

Since: 0.1.0

divBounded :: (MonadThrow m, Integral a, Bounded a) => a -> a -> m a Source #

Divide two numbers while checking for Overflow and DivideByZero

Since: 0.1.0

quotBounded :: (MonadThrow m, Integral a, Bounded a) => a -> a -> m a Source #

Find quotient of two numbers while checking for Overflow and DivideByZero

Since: 0.1.0

quotRemBounded :: (MonadThrow m, Integral a, Bounded a) => a -> a -> m (a, a) Source #

Find quotient an remainder of two numbers while checking for Overflow and DivideByZero

Since: 0.1.0