Safe Haskell	None
Language	Haskell98

Number.OccasionallyScalarExpression

Description

Physical expressions track the operations made on physical values so we are able to give detailed information on how to resolve unit violations.

Synopsis

Documentation

data T a v Source #

A value of type T stores information on how to resolve unit violations. The main application of the module are certainly Number.Physical type instances but in principle it can also be applied to other occasionally scalar types.

Constructors

Cons (Term a v) v

Instances

(C a v, Show v) => C a (T a v) Source #
Methods toScalar :: T a v -> a Source # toMaybeScalar :: T a v -> Maybe a Source # fromScalar :: a -> T a v Source #
Eq v => Eq (T a v) Source #
Methods (==) :: T a v -> T a v -> Bool # (/=) :: T a v -> T a v -> Bool #
Ord v => Ord (T a v) Source #
Methods compare :: T a v -> T a v -> Ordering # (<) :: T a v -> T a v -> Bool # (<=) :: T a v -> T a v -> Bool # (>) :: T a v -> T a v -> Bool # (>=) :: T a v -> T a v -> Bool # max :: T a v -> T a v -> T a v # min :: T a v -> T a v -> T a v #
Show v => Show (T a v) Source #
Methods showsPrec :: Int -> T a v -> ShowS # show :: T a v -> String # showList :: [T a v] -> ShowS #
C v => C (T a v) Source #
Methods zero :: T a v Source # (+) :: T a v -> T a v -> T a v Source # (-) :: T a v -> T a v -> T a v Source # negate :: T a v -> T a v Source #
C v => C (T a v) Source #
Methods isZero :: T a v -> Bool Source #
C v => C (T a v) Source #
Methods (*) :: T a v -> T a v -> T a v Source # one :: T a v Source # fromInteger :: Integer -> T a v Source # (^) :: T a v -> Integer -> T a v Source #
C v => C (T a v) Source #
Methods abs :: T a v -> T a v Source # signum :: T a v -> T a v Source #
C v => C (T a v) Source #
Methods (/) :: T a v -> T a v -> T a v Source # recip :: T a v -> T a v Source # fromRational' :: Rational -> T a v Source # (^-) :: T a v -> Integer -> T a v Source #
(C a, C v, Show v, C a v) => C (T a v) Source #
Methods sqrt :: T a v -> T a v Source # root :: Integer -> T a v -> T a v Source # (^/) :: T a v -> Rational -> T a v Source #
(C a, C v, Show v, C a v) => C (T a v) Source #
Methods pi :: T a v Source # exp :: T a v -> T a v Source # log :: T a v -> T a v Source # logBase :: T a v -> T a v -> T a v Source # (**) :: T a v -> T a v -> T a v Source # sin :: T a v -> T a v Source # cos :: T a v -> T a v Source # tan :: T a v -> T a v Source # asin :: T a v -> T a v Source # acos :: T a v -> T a v Source # atan :: T a v -> T a v Source # sinh :: T a v -> T a v Source # cosh :: T a v -> T a v Source # tanh :: T a v -> T a v Source # asinh :: T a v -> T a v Source # acosh :: T a v -> T a v Source # atanh :: T a v -> T a v Source #

data Term a v Source #

Constructors

Const
Add (T a v) (T a v)
Mul (T a v) (T a v)
Div (T a v) (T a v)

fromValue :: v -> T a v Source #

makeLine :: Int -> String -> String Source #

showUnitError :: Show v => Bool -> Int -> v -> T a v -> String Source #

lift :: (v -> v) -> T a v -> T a v Source #

fromScalar :: (Show v, C a v) => a -> T a v Source #

scalarMap :: (Show v, C a v) => (a -> a) -> T a v -> T a v Source #

scalarMap2 :: (Show v, C a v) => (a -> a -> a) -> T a v -> T a v -> T a v Source #