Data.Number.Symbolic

numbers-2007.9.25: Various number types

Description

Symbolic number, i.e., these are not numbers at all, but just build a representation of the expressions. This implementation is incomplete in that it allows comnstruction, but not deconstruction of the expressions. It's mainly useful for debugging.

Synopsis

data Sym a

var :: String -> Sym a

con :: a -> Sym a

subst :: Num a => String -> Sym a -> Sym a -> Sym a

unSym :: Show a => Sym a -> a

Documentation

data Sym a

Symbolic numbers over some base type for the literals.

Instances

Enum a => Enum (Sym a)

Eq a => Eq (Sym a)

Floating a => Floating (Sym a)

Fractional a => Fractional (Sym a)

Integral a => Integral (Sym a)

Num a => Num (Sym a)

Ord a => Ord (Sym a)

Real a => Real (Sym a)

RealFloat a => RealFloat (Sym a)

RealFrac a => RealFrac (Sym a)

Show a => Show (Sym a)

var :: String -> Sym a

Create a variable.

con :: a -> Sym a

Create a constant (useful when it is not a literal).

subst :: Num a => String -> Sym a -> Sym a -> Sym a

The expression subst x v e substitutes the expression v for each occurence of the variable x in e.

unSym :: Show a => Sym a -> a

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