Number.Physical.Unit
 Portability portable Stability provisional Maintainer numericprelude@henning-thielemann.de
Description
Abstract Physical Units
Synopsis
 type T i = Map i Int scalar :: T i isScalar :: T i -> Bool fromVector :: (Enum i, Ord i) => [Int] -> T i toVector :: (Enum i, Ord i) => T i -> [Int] ratScale :: T Int -> T i -> T i ratScaleMaybe :: T Int -> T i -> Maybe (T i) ratScaleMaybe2 :: T Int -> T i -> Map i (Maybe Int)
Documentation
 type T i = Map i Int Source

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 i Source
The neutral Unit.T
 isScalar :: T i -> Bool Source
Test for the neutral Unit.T
 fromVector :: (Enum i, Ord i) => [Int] -> T i Source
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 i Source
 ratScaleMaybe :: T Int -> T i -> Maybe (T i) Source
 ratScaleMaybe2 :: T Int -> T i -> Map i (Maybe Int) Source
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