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|
## TODO: Write tests ASAP.
(.module:
[lux #*
[abstract
[monad (#+ Monad do)]
[equivalence (#+ Equivalence)]
[order (#+ Order)]
[enum (#+ Enum)]]
[control
["p" parser
["s" code (#+ Parser)]]]
[data
[text
["%" format (#+ format)]]]
[macro
["." code]
[syntax (#+ syntax:)
["|.|" export]
["|.|" annotations]]]
[math
[number
["i" int]
["." ratio (#+ Ratio)]]]
[type
abstract]])
(abstract: #export (Qty unit)
Int
(def: #export in
(All [unit] (-> Int (Qty unit)))
(|>> :abstraction))
(def: #export out
(All [unit] (-> (Qty unit) Int))
(|>> :representation)))
(signature: #export (Scale s)
(: (All [u] (-> (Qty u) (Qty (s u))))
scale)
(: (All [u] (-> (Qty (s u)) (Qty u)))
de_scale)
(: Ratio
ratio))
(type: #export Pure
(Qty []))
(type: #export (Per d n)
(-> d n))
(type: #export (Inverse u)
(|> Pure (Per u)))
(type: #export (Product p s)
(|> s (Per (Inverse p))))
(def: #export pure
(-> Int Pure)
in)
(template [<name> <tag>]
[(def: <name>
(-> Text Text)
(|>> (format "{" kind "@" module "}")
(let [[module kind] (name_of <tag>)])))]
[unit_name #..Unit]
[scale_name #..Scale]
)
(syntax: #export (unit:
{export |export|.parser}
{name s.local_identifier}
{annotations (p.default |annotations|.empty |annotations|.parser)})
(wrap (list (` (type: (~+ (|export|.write export)) (~ (code.local_identifier name))
(~ (|annotations|.write annotations))
(primitive (~ (code.text (unit_name name))))))
(` (def: (~+ (|export|.write export)) (~ (code.local_identifier (format "@" name)))
(~ (code.local_identifier name))
(:assume [])))
)))
(def: ratio^
(Parser Ratio)
(s.tuple (do p.monad
[numerator s.int
_ (p.assert (format "Numerator must be positive: " (%.int numerator))
(i.> +0 numerator))
denominator s.int
_ (p.assert (format "Denominator must be positive: " (%.int denominator))
(i.> +0 denominator))]
(wrap [(.nat numerator) (.nat denominator)]))))
(syntax: #export (scale:
{export |export|.parser}
{name s.local_identifier}
{(^slots [#ratio.numerator #ratio.denominator]) ratio^}
{annotations (p.default |annotations|.empty |annotations|.parser)})
(let [g!scale (code.local_identifier name)]
(wrap (list (` (type: (~+ (|export|.write export)) ((~ g!scale) (~' u))
(~ (|annotations|.write annotations))
(primitive (~ (code.text (scale_name name))) [(~' u)])))
(` (structure: (~+ (|export|.write export)) (~ (code.local_identifier (format "@" name)))
(..Scale (~ g!scale))
(def: (~' scale)
(|>> ..out
(i.* (~ (code.int (.int numerator))))
(i./ (~ (code.int (.int denominator))))
..in))
(def: (~' de_scale)
(|>> ..out
(i.* (~ (code.int (.int denominator))))
(i./ (~ (code.int (.int numerator))))
..in))
(def: (~' ratio)
[(~ (code.nat numerator)) (~ (code.nat denominator))])))
))))
(template [<name> <op>]
[(def: #export (<name> param subject)
(All [unit] (-> (Qty unit) (Qty unit) (Qty unit)))
(|> subject out (<op> (out param)) in))]
[u/+ i.+]
[u/- i.-]
)
(def: #export (u// param subject)
(All [p s] (-> (Qty p) (Qty s) (|> (Qty s) (Per (Qty p)))))
(function (_ input)
(|> (out subject)
(i.* (out input))
(i./ (out param))
in)))
(def: #export (u/* param subject)
(All [p s] (-> (Qty p) (Qty s) (Product (Qty p) (Qty s))))
(function (_ input)
(|> subject
out
(i.* (out (input param)))
in)))
(def: #export (re_scale from to quantity)
(All [si so u] (-> (Scale si) (Scale so) (Qty (si u)) (Qty (so u))))
(let [[numerator denominator] (ratio./ (\ from ratio)
(\ to ratio))]
(|> quantity
out
(i.* (.int numerator))
(i./ (.int denominator))
in)))
(scale: #export Kilo [+1 +1,000])
(scale: #export Mega [+1 +1,000,000])
(scale: #export Giga [+1 +1,000,000,000])
(scale: #export Milli [ +1,000 +1])
(scale: #export Micro [ +1,000,000 +1])
(scale: #export Nano [+1,000,000,000 +1])
(unit: #export Gram)
(unit: #export Meter)
(unit: #export Litre)
(unit: #export Second)
(structure: #export equivalence (All [unit] (Equivalence (Qty unit)))
(def: (= reference sample)
(i.= (out reference) (out sample))))
(structure: #export order (All [unit] (Order (Qty unit)))
(def: &equivalence ..equivalence)
(def: (< reference sample)
(i.< (out reference) (out sample))))
(structure: #export enum (All [unit] (Enum (Qty unit)))
(def: &order ..order)
(def: succ (|>> ..out inc ..in))
(def: pred (|>> ..out dec ..in)))
|
