numeric-prelude-0.3: An experimental alternative hierarchy of numeric type classes




Abstract Physical Units



type T i = Map i IntSource

A Unit.T is a sparse vector with integer entries Each map n->m means that the unit of the n-th dimension is given m times.

Example: Let the quantity of length (meter, m) be the zeroth dimension and let the quantity of time (second, s) be the first dimension, then the composed unit m_s corresponds to the Map [(0,1),(1,-2)]

In future I want to have more abstraction here, e.g. a type class from the Edison project that abstracts from the underlying implementation. Then one can easily switch between Arrays, Binary trees (like Map) and what know I.

scalar :: T iSource

The neutral Unit.T

isScalar :: T i -> BoolSource

Test for the neutral Unit.T

fromVector :: (Enum i, Ord i) => [Int] -> T iSource

Convert a List to sparse Map representation Example: [-1,0,-2] -> [(0,-1),(2,-2)]

toVector :: (Enum i, Ord i) => T i -> [Int]Source

Convert Map to a List

ratScale :: T Int -> T i -> T iSource

ratScaleMaybe :: T Int -> T i -> Maybe (T i)Source