Portability | GHC only? |
---|---|
Stability | Stable |
Maintainer | bjorn.buckwalter@gmail.com |
Please refer to the literate Haskell code for documentation of both API and implementation.
Documentation
newtype Dimensional v d a Source
Eq a => Eq (Dimensional v d a) | |
Ord a => Ord (Dimensional v d a) |
type Unit = Dimensional DUnitSource
type Quantity = Dimensional DQuantitySource
(/~) :: Fractional a => Quantity d a -> Unit d a -> aSource
data Dim l m t i th n j Source
DropZero (DExt a Zero (Dim l m t i th n j)) (Dim l m t i th j j) | |
Div d (Dim l m t i th n j) d' => Div (DExt a x d) (Dim l m t i th n j) (DExt a x d') | |
Mul d (Dim l m t i th n j) d' => Mul (DExt a x d) (Dim l m t i th n j) (DExt a x d') | |
(NumType l, NumType m, NumType t, NumType i, NumType th, NumType n, NumType j) => Show (Dim l m t i th n j) | |
(Div l x l', Div m x m', Div t x t', Div i x i', Div th x th', Div n x n', Div j x j') => Root (Dim l m t i th n j) x (Dim l' m' t' i' th' n' j') | |
(Mul l x l', Mul m x m', Mul t x t', Mul i x i', Mul th x th', Mul n x n', Mul j x j') => Pow (Dim l m t i th n j) x (Dim l' m' t' i' th' n' j') | |
(Div (Dim l m t i th n j) d d', Negate x x') => Div (Dim l m t i th n j) (DExt a x d) (DExt a x' d') | |
Mul (Dim l m t i th n j) d d' => Mul (Dim l m t i th n j) (DExt a x d) (DExt a x d') | |
(Sum l l' l'', Sum m m' m'', Sum t t' t'', Sum i i' i'', Sum th th' th'', Sum n n' n'', Sum j j' j'') => Div (Dim l'' m'' t'' i'' th'' n'' j'') (Dim l' m' t' i' th' n' j') (Dim l m t i th n j) | |
(Sum l l' l'', Sum m m' m'', Sum t t' t'', Sum i i' i'', Sum th th' th'', Sum n n' n'', Sum j j' j'') => Mul (Dim l m t i th n j) (Dim l' m' t' i' th' n' j') (Dim l'' m'' t'' i'' th'' n'' j'') |
type Dimensionless = Quantity DOneSource
class Mul d d' d'' | d d' -> d''Source
(Sum n n' n'', Mul d d' d'', DropZero (DExt a n'' d'') d''') => Mul (DExt a n d) (DExt a n' d') d''' | |
(Sum lh lh' lh'', Sum mh mh' mh'', Sum t t' t'') => Mul (CGSDim lh mh t) (CGSDim lh' mh' t') (CGSDim lh'' mh'' t'') | |
Mul d (Dim l m t i th n j) d' => Mul (DExt a x d) (Dim l m t i th n j) (DExt a x d') | |
Mul (Dim l m t i th n j) d d' => Mul (Dim l m t i th n j) (DExt a x d) (DExt a x d') | |
(Sum l l' l'', Sum m m' m'', Sum t t' t'', Sum i i' i'', Sum th th' th'', Sum n n' n'', Sum j j' j'') => Mul (Dim l m t i th n j) (Dim l' m' t' i' th' n' j') (Dim l'' m'' t'' i'' th'' n'' j'') |
class Div d d' d'' | d d' -> d''Source
(Sum n'' n' n, Div d d' d'', DropZero (DExt a n'' d'') d''') => Div (DExt a n d) (DExt a n' d') d''' | |
(Sum lh lh' lh'', Sum mh mh' mh'', Sum t t' t'') => Div (CGSDim lh'' mh'' t'') (CGSDim lh' mh' t') (CGSDim lh mh t) | |
Div d (Dim l m t i th n j) d' => Div (DExt a x d) (Dim l m t i th n j) (DExt a x d') | |
(Div (Dim l m t i th n j) d d', Negate x x') => Div (Dim l m t i th n j) (DExt a x d) (DExt a x' d') | |
(Sum l l' l'', Sum m m' m'', Sum t t' t'', Sum i i' i'', Sum th th' th'', Sum n n' n'', Sum j j' j'') => Div (Dim l'' m'' t'' i'' th'' n'' j'') (Dim l' m' t' i' th' n' j') (Dim l m t i th n j) |
(*) :: (Num a, Mul d d' d'') => Dimensional v d a -> Dimensional v d' a -> Dimensional v d'' aSource
(/) :: (Fractional a, Div d d' d'') => Dimensional v d a -> Dimensional v d' a -> Dimensional v d'' aSource
(^) :: (Fractional a, Pow d n d') => Dimensional v d a -> n -> Dimensional v d' aSource
(^+) :: (Num a, PosType n, Pow d n d') => Dimensional v d a -> n -> Dimensional v d' aSource
nroot :: (Floating a, Root d n d') => n -> Dimensional v d a -> Dimensional v d' aSource
sqrt :: (Floating a, Root d Pos2 d') => Dimensional v d a -> Dimensional v d' aSource
cbrt :: (Floating a, Root d Pos3 d') => Dimensional v d a -> Dimensional v d' aSource
(^/) :: (Floating a, Root d n d') => Dimensional v d a -> n -> Dimensional v d' aSource
(/~~) :: Fractional a => [Quantity d a] -> Unit d a -> [a]Source
dimensionlessLength :: Num a => [Dimensional v d a] -> Dimensionless aSource
log :: Floating a => Dimensionless a -> Dimensionless aSource
sin :: Floating a => Dimensionless a -> Dimensionless aSource
cos :: Floating a => Dimensionless a -> Dimensionless aSource
tan :: Floating a => Dimensionless a -> Dimensionless aSource
asin :: Floating a => Dimensionless a -> Dimensionless aSource
acos :: Floating a => Dimensionless a -> Dimensionless aSource
atan :: Floating a => Dimensionless a -> Dimensionless aSource
sinh :: Floating a => Dimensionless a -> Dimensionless aSource
cosh :: Floating a => Dimensionless a -> Dimensionless aSource
tanh :: Floating a => Dimensionless a -> Dimensionless aSource
asinh :: Floating a => Dimensionless a -> Dimensionless aSource
acosh :: Floating a => Dimensionless a -> Dimensionless aSource
atanh :: Floating a => Dimensionless a -> Dimensionless aSource
exp :: Floating a => Dimensionless a -> Dimensionless aSource
(**) :: Floating a => Dimensionless a -> Dimensionless a -> Dimensionless aSource
_1 :: Num a => Dimensionless aSource
_2 :: Num a => Dimensionless aSource
_3 :: Num a => Dimensionless aSource
_4 :: Num a => Dimensionless aSource
_0 :: Num a => Dimensionless aSource
pi :: Floating a => Dimensionless aSource