aboutsummaryrefslogtreecommitdiff
path: root/stdlib/source/lux/meta/type/unit.lux
blob: de00fb82d817f20b5bd3ecbf1be480741d18881e (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
(;module:
  lux
  (lux (control [monad #+ do Monad]
                ["p" parser "p/" Monad<Parser>]
                [eq #+ Eq]
                [order #+ Order]
                [enum #+ Enum])
       (data text/format
             (number ["r" ratio]))
       [meta]
       (meta [code]
             ["s" syntax #+ syntax:]
             (syntax ["cs" common]
                     (common ["csr" reader]
                             ["csw" writer])))))

(type: #export (Qty unit)
  [Int unit])

(sig: #export (Scale s)
  (: (All [u] (-> (Qty u) (Qty (s u))))
     scale)
  (: (All [u] (-> (Qty (s u)) (Qty u)))
     de-scale)
  (: r;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 (in carrier magnitude)
  (All [unit] (-> unit Int (Qty unit)))
  [magnitude carrier])

(def: #export (pure magnitude)
  (-> Int Pure)
  (in [] magnitude))

(def: #export (out quantity)
  (All [unit] (-> (Qty unit) Int))
  (let [[magnitude carrier] quantity]
    magnitude))

(def: (carrier quantity)
  (All [unit] (-> (Qty unit) unit))
  (let [[magnitude carrier] quantity]
    carrier))

(do-template [<name> <tag>]
  [(def: <name>
     (-> Text Text)
     (|>. (format "{" kind "@" module "}")
          (let [[module kind] (ident-for <tag>)])))]
  
  [unit-name  #;;Unit]
  [scale-name #;;Scale]
  )

(syntax: #export (unit: [export csr;export]
                   [name s;local-symbol]
                   [annotations (p;default cs;empty-annotations csr;annotations)])
  (wrap (list (` (type: (~@ (csw;export export)) (~ (code;local-symbol name))
                   (~ (csw;annotations annotations))
                   (primitive (~ (code;local-symbol (unit-name name))))))
              (` (def: (~@ (csw;export export)) (~ (code;local-symbol (format "@" name)))
                   (~ (code;local-symbol name))
                   (:!! [])))
              )))

(def: ratio^
  (s;Syntax r;Ratio)
  (s;tuple (do p;Monad<Parser>
             [numerator s;int
              _ (p;assert (format "Numerator must be positive: " (%i numerator))
                          (i.> 0 numerator))
              denominator s;int
              _ (p;assert (format "Denominator must be positive: " (%i denominator))
                          (i.> 0 denominator))]
             (wrap [(int-to-nat numerator) (int-to-nat denominator)]))))

(syntax: #export (scale: [export csr;export]
                   [name s;local-symbol]
                   [(^slots [#r;numerator #r;denominator]) ratio^]
                   [annotations (p;default cs;empty-annotations csr;annotations)])
  (let [g!scale (code;local-symbol name)]
    (wrap (list (` (type: (~@ (csw;export export)) ((~ g!scale) (~' u))
                     (~ (csw;annotations annotations))
                     (primitive (~ (code;local-symbol (scale-name name))) [(~' u)])))
                (` (struct: (~@ (csw;export export)) (~ (code;local-symbol (format "@" name)))
                     (;;Scale (~ g!scale))
                     (def: (~' scale)
                       (|>. ;;out
                            (i.* (~ (code;int (nat-to-int numerator))))
                            (i./ (~ (code;int (nat-to-int denominator))))
                            (;;in (:! ((~ g!scale) ($ +0)) []))))
                     (def: (~' de-scale)
                       (|>. ;;out
                            (i.* (~ (code;int (nat-to-int denominator))))
                            (i./ (~ (code;int (nat-to-int numerator))))
                            (;;in (:! ($ +0) []))))
                     (def: (~' ratio)
                       [(~ (code;nat numerator)) (~ (code;nat denominator))])))
                ))))

(do-template [<name> <op>]
  [(def: #export (<name> param subject)
     (All [unit] (-> (Qty unit) (Qty unit) (Qty unit)))
     (|> (out subject) (<op> (out param)) (in (carrier subject))))]

  [++ i.+]
  [-- i.-]
  )

(def: #export (// 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 (carrier subject)))))

(def: #export (** param subject)
  (All [p s] (-> (Qty p) (Qty s) (Product (Qty p) (Qty s))))
  (function [input]
    (|> (out subject)
        (i.* (out (input param)))
        (in (carrier subject)))))

(def: #export (re-scale from to quantity)
  (All [si so u] (-> (Scale si) (Scale so) (Qty (si u)) (Qty (so u))))
  (let [[numerator denominator] (|> (:: to ratio) (r;q./ (:: from ratio)))]
    (|> quantity out
        (i.* (nat-to-int numerator))
        (i./ (nat-to-int denominator))
        (in (:! (($ +1) ($ +2)) [])))))

(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])

(def: #export (as scale unit magnitude)
  (All [s u] (-> (Scale s) u Int (Qty (s u))))
  (let [[_ carrier] (|> 0 (in unit) (:: scale scale))]
    [magnitude carrier]))

(unit: #export Gram)
(unit: #export Meter)
(unit: #export Litre)
(unit: #export Second)

(struct: #export Eq<Unit> (All [unit] (Eq (Qty unit)))
  (def: (= reference sample)
    (i.= (out reference) (out sample))))

(struct: #export Order<Unit> (All [unit] (Order (Qty unit)))
  (def: eq Eq<Unit>)
  
  (do-template [<name> <func>]
    [(def: (<name> reference sample)
       (<func> (out reference) (out sample)))]

    [<  i.<]
    [<= i.<=]
    [>  i.>]
    [>= i.>=]))

(struct: #export Enum<Unit> (All [unit] (Enum (Qty unit)))
  (def: order Order<Unit>)
  (def: (succ qty) (|> (out qty) i.inc (in (carrier qty))))
  (def: (pred qty) (|> (out qty) i.dec (in (carrier qty)))))