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
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
|
(.using
[library
[lux (.full)
["[0]" meta]
[abstract
[monad (.only Monad do)]
[equivalence (.only Equivalence)]
[order (.only Order)]
[enum (.only Enum)]]
[control
["<>" parser ("[1]#[0]" monad)
["<[0]>" code (.only Parser)]]]
[data
["[0]" text
["%" format (.only format)]]]
[macro
["[0]" code]
["[0]" template]
[syntax (.only syntax:)
["|[0]|" export]]]
[math
[number
["n" nat]
["i" int]
["[0]" ratio (.only Ratio)]]]
[type
[primitive (.full)]]]])
(primitive: .public (Qty unit)
Int
(def: in'
(All (_ unit) (-> Int (Qty unit)))
(|>> abstraction))
(def: out'
(All (_ unit) (-> (Qty unit) Int))
(|>> representation))
(template [<name> <op>]
[(def: .public (<name> param subject)
(All (_ unit) (-> (Qty unit) (Qty unit) (Qty unit)))
(abstraction (<op> (representation param)
(representation subject))))]
[+ i.+]
[- i.-]
)
(template [<name> <op> <p> <s> <p*s>]
[(def: .public (<name> param subject)
(All (_ p s) (-> (Qty <p>) (Qty <s>) (Qty <p*s>)))
(abstraction (<op> (representation param)
(representation subject))))]
[* i.* p s [p s]]
[/ i./ p [p s] s]
)
)
(type: .public (Unit a)
(Interface
(is (-> Int (Qty a))
in)
(is (-> (Qty a) Int)
out)))
(type: .public (Scale s)
(Interface
(is (All (_ u) (-> (Qty u) (Qty (s u))))
scale)
(is (All (_ u) (-> (Qty (s u)) (Qty u)))
de_scale)
(is Ratio
ratio)))
(type: .public Pure
(Qty Any))
(def: .public pure
(-> Int Pure)
..in')
(def: .public number
(-> Pure Int)
..out')
(syntax: .public (unit: [[export_policy type_name unit_name]
(|export|.parser
(all <>.and
<code>.local
<code>.local))])
(do meta.monad
[@ meta.current_module_name
.let [g!type (code.local type_name)]]
(in (list (` (type: (~ export_policy) (~ g!type)
(Primitive (~ (code.text (%.symbol [@ type_name]))))))
(` (implementation: (~ export_policy) (~ (code.local unit_name))
(..Unit (~ g!type))
(def: (~' in) (~! ..in'))
(def: (~' out) (~! ..out'))))
))))
(def: scaleP
(Parser Ratio)
(<code>.tuple (do <>.monad
[numerator <code>.nat
_ (<>.assertion (format "Numerator must be positive: " (%.nat numerator))
(n.> 0 numerator))
denominator <code>.nat
_ (<>.assertion (format "Denominator must be positive: " (%.nat denominator))
(n.> 0 denominator))]
(in [numerator denominator]))))
(syntax: .public (scale: [[export_policy type_name scale_name ratio]
(|export|.parser
(all <>.and
<code>.local
<code>.local
..scaleP))])
(do meta.monad
[.let [(open "_[0]") ratio]
@ meta.current_module_name
.let [g!scale (code.local type_name)]]
(in (list (` (type: (~ export_policy) ((~ g!scale) (~' u))
(Primitive (~ (code.text (%.symbol [@ type_name]))) [(~' u)])))
(` (implementation: (~ export_policy) (~ (code.local scale_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))])))
))))
(def: .public (re_scaled 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')))
(syntax: (implementation_name [type_name <code>.local])
(in (list (code.local (text.lower_cased type_name)))))
(template [<type> <from> <to>]
[(`` (scale: .public <type>
(~~ (implementation_name <type>))
[<from> <to>]))]
[Kilo 1 1,000]
[Mega 1 1,000,000]
[Giga 1 1,000,000,000]
[Milli 1,000 1]
[Micro 1,000,000 1]
[Nano 1,000,000,000 1]
)
(template [<type>]
[(`` (unit: .public <type>
(~~ (implementation_name <type>))))]
[Gram]
[Meter]
[Litre]
[Second]
)
(implementation: .public equivalence
(All (_ unit) (Equivalence (Qty unit)))
(def: (= reference sample)
(i.= (..out' reference) (..out' sample))))
(implementation: .public order
(All (_ unit) (Order (Qty unit)))
(def: equivalence ..equivalence)
(def: (< reference sample)
(i.< (..out' reference) (..out' sample))))
(implementation: .public enum
(All (_ unit) (Enum (Qty unit)))
(def: order ..order)
(def: succ (|>> ..out' ++ ..in'))
(def: pred (|>> ..out' -- ..in')))
|
