Number.OccasionallyScalarExpression

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

Documentation

data T a v

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)

Methods

toScalar :: T a v -> a

toMaybeScalar :: T a v -> Maybe a

fromScalar :: a -> T a v

Eq v => Eq (T a v)

Methods

(==) :: T a v -> T a v -> Bool

(/=) :: T a v -> T a v -> Bool

Ord v => Ord (T a v)

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)

Methods

showsPrec :: Int -> T a v -> ShowS

show :: T a v -> String

showList :: [T a v] -> ShowS

C v => C (T a v)

Methods

zero :: T a v

(+) :: T a v -> T a v -> T a v

(-) :: T a v -> T a v -> T a v

negate :: T a v -> T a v

C v => C (T a v)

Methods

isZero :: T a v -> Bool

C v => C (T a v)

Methods

(*) :: T a v -> T a v -> T a v

one :: T a v

fromInteger :: Integer -> T a v

(^) :: T a v -> Integer -> T a v

C v => C (T a v)

Methods

abs :: T a v -> T a v

signum :: T a v -> T a v

C v => C (T a v)

Methods

(/) :: T a v -> T a v -> T a v

recip :: T a v -> T a v

fromRational' :: Rational -> T a v

(^-) :: T a v -> Integer -> T a v

(C a, C v, Show v, C a v) => C (T a v)

Methods

sqrt :: T a v -> T a v

root :: Integer -> T a v -> T a v

(^/) :: T a v -> Rational -> T a v

(C a, C v, Show v, C a v) => C (T a v)

Methods

pi :: T a v

exp :: T a v -> T a v

log :: T a v -> T a v

logBase :: T a v -> T a v -> T a v

(**) :: T a v -> T a v -> T a v

sin :: T a v -> T a v

cos :: T a v -> T a v

tan :: T a v -> T a v

asin :: T a v -> T a v

acos :: T a v -> T a v

atan :: T a v -> T a v

sinh :: T a v -> T a v

cosh :: T a v -> T a v

tanh :: T a v -> T a v

asinh :: T a v -> T a v

acosh :: T a v -> T a v

atanh :: T a v -> T a v

data Term a v

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

makeLine :: Int -> String -> String

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

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

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

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

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