Numeric.Limp.Rep.Rep

Representation of integers (Z) and reals (R) of similar precision. Programs are abstracted over this, so that ideally in the future we could have a solver that produces Integers and Rationals, instead of just Ints and Doubles.

We bundle Z and R up into a single representation instead of abstracting over both, because we must be able to convert from Z to R without loss.

Documentation

class (Num (Z c), Ord (Z c), Eq (Z c), Integral (Z c), Num (R c), Ord (R c), Eq (R c), RealFrac (R c)) => Rep c where

The Representation class. Requires its members Z c and R c to be Num, Ord and Eq.

For some reason, for type inference to work, the members must be data instead of type. This gives some minor annoyances when unpacking them. See unwrapR below.

Associated Types

data Z c

Integers

data R c

Real numbers

Methods

fromZ :: Z c -> R c

Convert an integer to a real. This should not lose any precision. (whereas fromIntegral 1000 :: Word8 would lose precision)

Instances

Rep IntDouble

Associated Types

data Z IntDouble :: *

data R IntDouble :: *

Methods

fromZ :: Z IntDouble -> R IntDouble

Rep Arbitrary

Associated Types

data Z Arbitrary :: *

data R Arbitrary :: *

Methods

fromZ :: Z Arbitrary -> R Arbitrary

data Assignment z r c

An assignment from variables to values. Maps integer variables to integers, and real variables to reals.

Constructors

Assignment (Map z (Z c)) (Map r (R c))

Instances

(Show (Z c), Show (R c), Show z, Show r) => Show (Assignment z r c)

Methods

showsPrec :: Int -> Assignment z r c -> ShowS

show :: Assignment z r c -> String

showList :: [Assignment z r c] -> ShowS

(Ord z, Ord r) => Semigroup (Assignment z r c)

Methods

(<>) :: Assignment z r c -> Assignment z r c -> Assignment z r c

sconcat :: NonEmpty (Assignment z r c) -> Assignment z r c

stimes :: Integral b => b -> Assignment z r c -> Assignment z r c

(Ord z, Ord r) => Monoid (Assignment z r c)

Methods

mempty :: Assignment z r c

mappend :: Assignment z r c -> Assignment z r c -> Assignment z r c

mconcat :: [Assignment z r c] -> Assignment z r c

zOf :: (Rep c, Ord z) => Assignment z r c -> z -> Z c

Retrieve value of integer variable - or 0, if there is no value.

rOf :: (Rep c, Ord r) => Assignment z r c -> r -> R c

Retrieve value of real variable - or 0, if there is no value.

zrOf :: (Rep c, Ord z, Ord r) => Assignment z r c -> Either z r -> R c

Retrieve value of an integer or real variable, with result cast to a real regardless.

assSize :: Assignment z r c -> Int