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elk/elm/src/Types/Hints.hs
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1module Types.Hints (hints) where
3import Control.Monad (liftM,mapM)
4import Control.Arrow (first)
5import Types.Types
6import Types.Substitutions (rescheme)
9prefix pre xs = map (first (\x -> pre ++ "." ++ x)) xs
11-------- Text and Elements --------
13textToText = [ "header", "italic", "bold", "underline"
14 , "overline", "strikeThrough", "monospace" ]
16textAttrs = [ "toText" -: string ==> text
17 , "Text.typeface" -: string ==> text ==> text
18 , "Text.link" -:: string ==> text ==> text
19 , numScheme (\t -> t ==> text ==> text) "Text.height"
20 ] ++ prefix "Text" (hasType (text ==> text) textToText)
22elements =
23 let iee = int ==> element ==> element in
24 [ "plainText" -: string ==> element
25 , "link" -:: string ==> element ==> element
26 , "flow" -: direction ==> listOf element ==> element
27 , "layers" -: listOf element ==> element
28 , "text" -: text ==> element
29 , "image" -: int ==> int ==> string ==> element
30 , "video" -: int ==> int ==> string ==> element
31 , "opacity" -: float ==> element ==> element
32 , "width" -: iee
33 , "height" -: iee
34 , "size" -: int ==> iee
35 , "widthOf" -: element ==> int
36 , "heightOf"-: element ==> int
37 , "sizeOf" -: element ==> pairOf int
38 , "color" -: color ==> element ==> element
39 , "container" -: int ==> int ==> position ==> element ==> element
40 , "spacer" -: int ==> int ==> element
41 , "rightedText" -: text ==> element
42 , "centeredText" -: text ==> element
43 , "justifiedText" -: text ==> element
44 , "asText" -:: a ==> element
45 , "collage" -: int ==> int ==> listOf form ==> element
46 , "fittedImage" -: int ==> int ==> string ==> element
47 ]
49directions = hasType direction ["up","down","left","right","inward","outward"]
50positions =
51 hasType position ["topLeft","midLeft","bottomLeft","midTop","middle"
52 ,"midBottom","topRight","midRight","bottomRight"] ++
53 hasType (location ==> location ==> position)
54 ["topLeftAt","bottomLeftAt","middleAt","topRightAt","bottomRightAt"] ++
55 [ "absolute" -: int ==> location, "relative" -: float ==> location ]
57lineTypes = [ numScheme (\n -> listOf (pairOf n) ==> line) "line"
58 , numScheme (\n -> pairOf n ==> pairOf n ==> line) "segment"
59 , "customLine" -: listOf int ==> color ==> line ==> form
60 ] ++ hasType (color ==> line ==> form) ["solid","dashed","dotted"]
62shapes = [ twoNums (\n m -> listOf (pairOf n) ==> pairOf m ==> shape) "polygon"
63 , "filled" -: color ==> shape ==> form
64 , "outlined" -: color ==> shape ==> form
65 , "textured" -: string ==> shape ==> form
66 , "customOutline" -: listOf int ==> color ==> shape ==> form
67 ] ++ map (twoNums (\n m -> n ==> n ==> pairOf m ==> shape)) [ "ngon"
68 , "rect"
69 , "oval" ]
71collages = [ numScheme (\n -> pairOf n ==> element ==> form) "toForm"
72 , numScheme (\n -> string ==> n ==> n ==> pairOf n ==> form) "sprite"
73 , numScheme (\n -> n ==> n ==> form ==> form) "move"
74 , numScheme (\n -> n ==> form ==> form) "rotate"
75 , numScheme (\n -> n ==> form ==> form) "scale"
76 , numScheme (\n -> pairOf n ==> form ==> bool) "isWithin"
77 ]
79graphicsElement = prefix "Graphics"
80 (concat [elements,directions,positions,lineTypes,shapes,collages])
81graphicsColor = prefix "Color" clrs
82 where clrs = [ numScheme (\n -> n ==> n ==> n ==> color) "rgb"
83 , numScheme (\n -> n ==> n ==> n ==> n ==> color) "rgba"
84 , "complement" -: color ==> color
85 ] ++ hasType color ["red","green","blue","black","white"
86 ,"yellow","cyan","magenta","grey","gray"]
89-------- Foreign --------
91casts =
92 [ "castJSBoolToBool" -: jsBool ==> bool
93 , "castBoolToJSBool" -: bool ==> jsBool
94 , "castJSNumberToInt" -: jsNumber ==> int
95 , "castIntToJSNumber" -: int ==> jsNumber
96 , "castJSElementToElement" -: int ==> int ==> jsElement ==> element
97 , "castElementToJSElement" -: element ==> jsElement
98 , "castJSStringToString" -: jsString ==> string
99 , "castStringToJSString" -: string ==> jsString
100 , "castJSNumberToFloat" -: jsNumber ==> float
101 , "castFloatToJSNumber" -: float ==> jsNumber
102 ]
104castToTuple n = (,) name $ Forall [1..n] [] (jsTuple vs ==> tupleOf vs)
105 where vs = map VarT [1..n]
106 name = "castJSTupleToTuple" ++ show n
107castToJSTuple n = (,) name $ Forall [1..n] [] (tupleOf vs ==> jsTuple vs)
108 where vs = map VarT [1..n]
109 name = "castTupleToJSTuple" ++ show n
111polyCasts =
112 map castToTuple [2..5] ++ map castToJSTuple [2..5] ++
113 [ "castJSArrayToList" -:: jsArray a ==> listOf a
114 , "castListToJSArray" -:: listOf a ==> jsArray a
115 ]
117javascript = prefix "JavaScript" (concat [casts,polyCasts])
119json = prefix "JSON"
120 [ "JsonString" -: string ==> jsonValue
121 , "JsonBool" -: bool ==> jsonValue
122 , "JsonNull" -: jsonValue
123 , "JsonArray" -: listOf jsonValue ==> jsonValue
124 , "JsonObject" -: jsonObject ==> jsonValue
125 , numScheme (\n -> n ==> jsonValue) "JsonNumber"
126 , "toString" -: jsonObject ==> string
127 , "fromString" -: string ==> jsonObject
128 , "lookup" -: string ==> jsonObject ==> maybeOf jsonValue
129 , "findObject" -: string ==> jsonObject ==> jsonObject
130 , "findArray" -: string ==> jsonObject ==> listOf jsonValue
131 , "findString" -: string ==> jsonObject ==> string
132 , "findWithDefault" -:: jsonValue ==> string ==> jsonObject ==> jsonValue
133 , "toPrettyString" -: string ==> jsonObject ==> string
134 , "toPrettyJSString" -: string ==> jsonObject ==> jsString
135 , "toList" -: jsonObject ==> listOf (tupleOf [string,jsonValue])
136 , "fromList" -: listOf (tupleOf [string,jsonValue]) ==> jsonObject
137 , "toJSString" -: jsonObject ==> jsString
138 , "fromJSString" -: jsString ==> jsonObject
139 ]
142-------- Signals --------
144lyft n = sig (n+1) ("lift" ++ show n)
145sig n name = (,) name $ Forall [1..n] [] (fn ts ==> fn (map signalOf ts))
146 where fn = foldr1 (==>)
147 ts = map VarT [1..n]
149signals = prefix "Signal"
150 [ sig 1 "constant"
151 , sig 2 "lift"
152 ] ++ map lyft [2..8] ++ [
153 "<~" -:: (a ==> b) ==> signalOf a ==> signalOf b
154 , "~" -:: signalOf (a ==> b) ==> signalOf a ==> signalOf b
155 , "foldp" -:: (a ==> b ==> b) ==> b ==> signalOf a ==> signalOf b
156 , "foldp1" -:: (a ==> a ==> a) ==> signalOf a ==> signalOf a
157 , "foldp'" -:: (a ==> b ==> b) ==> (a ==> b) ==> signalOf a ==> signalOf b
158 , "count" -:: signalOf a ==> signalOf int
159 , "countIf" -:: (a ==> bool) ==> signalOf a ==> signalOf int
160 , "keepIf" -:: (a ==> bool) ==> a ==> signalOf a ==> signalOf a
161 , "dropIf" -:: (a ==> bool) ==> a ==> signalOf a ==> signalOf a
162 , "keepWhen" -:: signalOf bool ==> a ==> signalOf a ==> signalOf a
163 , "dropWhen" -:: signalOf bool ==> a ==> signalOf a ==> signalOf a
164 , "dropRepeats" -:: signalOf a ==> signalOf a
165 , "sampleOn" -:: signalOf a ==> signalOf b ==> signalOf b
166 , "timestamp" -:: signalOf a ==> signalOf (tupleOf [time,a])
167 , "timeOf" -:: signalOf a ==> signalOf time
168 , "merge" -:: signalOf a ==> signalOf a ==> signalOf a
169 , "merges" -:: listOf (signalOf a) ==> signalOf a
170 , numScheme (\n -> int ==> signalOf n ==> signalOf float) "average"
171 ]
173http = prefix "HTTP"
174 [ "send" -:: signalOf (request a) ==> signalOf (response string)
175 , "sendGet" -:: signalOf string ==> signalOf (response string)
176 , "get" -: string ==> request string
177 , "post" -: string ==> string ==> request string
178 , "request" -: string ==> string ==> string ==> listOf (pairOf string) ==> request string
179 , "Waiting" -:: response a
180 , "Failure" -:: int ==> string ==> response a
181 , "Success" -:: a ==> response a ]
182 where request t = ADT "Request" [t]
183 response t = ADT "Response" [t]
185concreteSignals =
186 [ "Keyboard.Raw.keysDown" -: signalOf (listOf int)
187 , "Keyboard.Raw.charPressed" -: signalOf (maybeOf int)
188 , "Random.inRange" -: int ==> int ==> signalOf int
189 , "Random.randomize" -:: int ==> int ==> signalOf a ==> signalOf int
190 , "Window.dimensions" -: signalOf point
191 , "Window.width" -: signalOf int
192 , "Window.height" -: signalOf int
193 , "Mouse.position" -: signalOf point
194 , "Mouse.x" -: signalOf int
195 , "Mouse.y" -: signalOf int
196 , "Mouse.isDown" -: signalOf bool
197 , "Mouse.isClicked" -: signalOf bool
198 , "Mouse.clicks" -: signalOf (tupleOf [])
199 , "Input.textField" -: string ==> tupleOf [element, signalOf string]
200 , "Input.password" -: string ==> tupleOf [element, signalOf string]
201 , "Input.textArea" -: int ==> int ==> tupleOf [element, signalOf string]
202 , "Input.checkBox" -: bool ==> tupleOf [element, signalOf bool]
203 , "Input.button" -: string ==> tupleOf [element, signalOf bool]
204 , "Input.stringDropDown" -: listOf string ==> tupleOf [element, signalOf string]
205 , "Input.dropDown" -:: listOf (tupleOf [string,a]) ==> tupleOf [element, signalOf a]
206 ]
208times = prefix "Time"
209 [ "fps" -: number ==> signalOf time
210 , "every" -: time ==> signalOf time
211 , "fpsWhen" -: number ==> signalOf bool ==> signalOf time
212 , "delay" -:: time ==> signalOf a ==> signalOf a
213 , "since" -:: time ==> signalOf a ==> signalOf bool
214 , "hour" -: time
215 , "minute" -: time
216 , "second" -: time
217 , "ms" -: time
218 , "inHours" -: time ==> float
219 , "inMinutes" -: time ==> float
220 , "inSeconds" -: time ==> float
221 , "inMss" -: time ==> float
222 , "toDate" -: time ==> date
223 , "read" -: string ==> maybeOf time
224 ]
226dates =
227 let days = map (-: day) ["Sun", "Mon", "Tue", "Wed", "Thu", "Fri", "Sat"]
228 months = map (-: month) [ "Jan", "Feb", "Mar", "Apr", "May", "Jun"
229 , "Jul", "Aug", "Sep", "Oct", "Nov", "Dec" ]
230 in prefix "Date"
231 ([ "read" -: string ==> maybeOf date
232 , "year" -: date ==> int
233 , "month" -: date ==> month
234 , "day" -: date ==> int
235 , "hour" -: date ==> int
236 , "minute" -: date ==> int
237 , "second" -: date ==> int
238 , "dayOfWeek" -: date ==> day
239 , "toTime" -: date ==> time
240 ] ++ days ++ months)
242-------- Math and Binops --------
244binop t = t ==> t ==> t
245scheme1 super t name =
246 (name, Forall [0] [ Context ("`" ++ name ++ "'") $ VarT 0 :<: super
247 ] (t (VarT 0)))
248scheme2 s1 s2 t name =
249 (name, Forall [0,1] [ Context ("`" ++ name ++ "'") $ VarT 0 :<: s1
250 , Context ("`" ++ name ++ "'") $ VarT 1 :<: s2
251 ] (t (VarT 0) (VarT 1)))
252numScheme t name = scheme1 number t name
253twoNums f name = scheme2 number number f name
255math =
256 map (numScheme (\t -> t ==> binop t)) ["clamp"] ++
257 map (numScheme (\t -> binop t)) ["+","-","*","max","min"] ++
258 [ numScheme (\t -> t ==> t) "abs" ] ++
259 hasType (binop float) [ "/", "logBase" ] ++
260 hasType (binop int) ["rem","div","mod"] ++
261 hasType (float ==> float) ["sin","cos","tan","asin","acos","atan","sqrt"] ++
262 hasType float ["pi","e"] ++
263 hasType (int ==> float) ["toFloat","castIntToFloat"] ++
264 hasType (float ==> int) ["round","floor","ceiling","truncate"] ++
265 [ "show" -:: a ==> string
266 , "readInt" -: string ==> maybeOf int
267 , "readFloat" -: string ==> maybeOf float ]
269bools =
270 [ "not" -: bool ==> bool ] ++
271 hasType (binop bool) ["&&","||"] ++
272 map (scheme1 comparable (\t -> t ==> t ==> bool)) ["<",">","<=",">="] ++
273 [ ( "compare"
274 , Forall [0,1] [ Context "`compare'" $ VarT 0 :<: comparable ] (VarT 0 ==> VarT 0 ==> VarT 1) )
275 ]
277chars = prefix "Char" (classify ++ convert1 ++ convert2)
278 where classify = hasType (char ==> bool)
279 ["isDigit","isOctDigit","isHexDigit","isUpper","isLower"]
280 convert1 = hasType (char ==> char)
281 ["toUpper","toLower","toLocaleUpper","toLocaleLower"]
282 convert2 = [ "toCode" -: char ==> int, "fromCode" -: int ==> char ]
285-------- Polymorphic Functions --------
287[a,b,c] = map VarT [1,2,3]
289infix 8 -::
290name -:: tipe = (name, Forall [1,2,3] [] tipe)
292funcs =
293 [ "id" -:: a ==> a
294 , "==" -:: a ==> a ==> bool
295 , "/=" -:: a ==> a ==> bool
296 , "flip" -:: (a ==> b ==> c) ==> (b ==> a ==> c)
297 , "." -:: (b ==> c) ==> (a ==> b) ==> (a ==> c)
298 , "$" -:: (a ==> b) ==> a ==> b
299 , ":" -:: a ==> listOf a ==> listOf a
300 , (,) "++" . Forall [0,1] [ Context "`++'" $ VarT 0 :<: appendable (VarT 1) ] $ VarT 0 ==> VarT 0 ==> VarT 0
301 , "Cons" -:: a ==> listOf a ==> listOf a
302 , "Nil" -:: listOf a
303 , "Just" -:: a ==> maybeOf a
304 , "Nothing" -:: maybeOf a
305 , "curry" -:: (tupleOf [a,b] ==> c) ==> a ==> b ==> c
306 , "uncurry" -:: (a ==> b ==> c) ==> tupleOf [a,b] ==> c
307 ] ++ map tuple [0..8]
309tuple n = ("Tuple" ++ show n, Forall [1..n] [] $ foldr (==>) (tupleOf vs) vs)
310 where vs = map VarT [1..n]
312lists = prefix "List"
313 [ "and" -:: listOf bool ==> bool
314 , "or" -:: listOf bool ==> bool
315 , numScheme (\n -> listOf n ==> listOf n) "sort"
316 , "head" -:: listOf a ==> a
317 , "tail" -:: listOf a ==> listOf a
318 , "length" -:: listOf a ==> int
319 , "filter" -:: (a ==> bool) ==> listOf a ==> listOf a
320 , "foldr1" -:: (a ==> a ==> a) ==> listOf a ==> a
321 , "foldl1" -:: (a ==> a ==> a) ==> listOf a ==> a
322 , "scanl1" -:: (a ==> a ==> a) ==> listOf a ==> a
323 , "all" -:: (a ==> bool) ==> listOf a ==> bool
324 , "any" -:: (a ==> bool) ==> listOf a ==> bool
325 , "reverse" -:: listOf a ==> listOf a
326 , "take" -:: int ==> listOf a ==> listOf a
327 , "drop" -:: int ==> listOf a ==> listOf a
328 , "partition" -:: (a ==> bool) ==> listOf a ==> tupleOf [listOf a,listOf a]
329 , "intersperse" -:: a ==> listOf a ==> listOf a
330 , "zip" -:: listOf a ==>listOf b ==>listOf(tupleOf [a,b])
331 , "map" -:: (a ==> b) ==> listOf a ==> listOf b
332 , "foldr" -:: (a ==> b ==> b) ==> b ==> listOf a ==> b
333 , "foldl" -:: (a ==> b ==> b) ==> b ==> listOf a ==> b
334 , "scanl" -:: (a ==> b ==> b) ==> b ==> listOf a ==> listOf b
335 , (,) "concat" . Forall [0,1] [ Context "`concat'" $ VarT 0 :<: appendable (VarT 1) ] $
336 listOf (VarT 0) ==> VarT 0
337 , (,) "concatMap" . Forall [0,1,2] [ Context "`concatMap'" $ VarT 0 :<: appendable (VarT 1) ] $
338 (VarT 2 ==> VarT 0) ==> listOf (VarT 2) ==> VarT 0
339 , (,) "intercalate" . Forall [0,1] [ Context "`intercalate'" $ VarT 0 :<: appendable (VarT 1) ] $
340 VarT 0 ==> listOf (VarT 0) ==> VarT 0
341 , "zipWith" -:: (a ==> b ==> c) ==> listOf a ==> listOf b ==> listOf c
342 ] ++ map (numScheme (\n -> listOf n ==> n)) [ "sum", "product"
343 , "maximum", "minimum" ]
345maybeFuncs = prefix "Maybe"
346 [ "maybe" -:: b ==> (a ==> b) ==> maybeOf a ==> b
347 , "isJust" -:: maybeOf a ==> bool
348 , "isNothing" -:: maybeOf a ==> bool
349 , "fromMaybe" -:: a ==> maybeOf a ==> a
350 , "consMaybe" -:: maybeOf a ==> listOf a ==> listOf a
351 , "catMaybes" -:: listOf (maybeOf a) ==> listOf a
352 , "catMaybes" -:: (a ==> maybeOf b) ==> listOf a ==> listOf b
353 ]
355dictionary =
356 let dict k v = ADT "Dict" [k,v] in
357 prefix "Dict"
358 [ "empty" -:: dict a b
359 , "singleton" -:: a ==> b ==> dict a b
360 , "insert" -:: a ==> b ==> dict a b ==> dict a b
361 , "remove" -:: a ==> dict a b ==> dict a b
362 , "member" -:: a ==> dict a b ==> bool
363 , "lookup" -:: a ==> dict a b ==> maybeOf b
364 , "findWithDefault" -:: b ==> a ==> dict a b ==> b
365 , "intersect" -:: dict a b ==> dict a c ==> dict a b
366 , "union" -:: dict a b ==> dict a b ==> dict a b
367 , "diff" -:: dict a b ==> dict a c ==> dict a b
368 , "map" -:: (b ==> c) ==> dict a b ==> dict a c
369 , "foldl" -:: (a ==> b ==> c ==> c) ==> c ==> dict a b ==> c
370 , "foldr" -:: (a ==> b ==> c ==> c) ==> c ==> dict a b ==> c
371 , "keys" -:: dict a b ==> listOf a
372 , "values" -:: dict a b ==> listOf b
373 , "toList" -:: dict a b ==> listOf (tupleOf [a,b])
374 , "fromList" -:: listOf (tupleOf [a,b]) ==> dict a b
375 ]
377sets =
378 let set v = ADT "Set" [v] in
379 prefix "Set"
380 [ "empty" -:: set a
381 , "singleton" -:: a ==> set a
382 , "insert" -:: a ==> set a ==> set a
383 , "remove" -:: a ==> set a ==> set a
384 , "member" -:: a ==> set a ==> bool
385 , "intersect" -:: set a ==> set a ==> set a
386 , "union" -:: set a ==> set a ==> set a
387 , "diff" -:: set a ==> set a ==> set a
388 , "map" -:: (a ==> b) ==> set a ==> set b
389 , "foldl" -:: (a ==> b ==> b) ==> b ==> set a ==> b
390 , "foldr" -:: (a ==> b ==> b) ==> b ==> set a ==> b
391 , "toList" -:: set a ==> listOf a
392 , "fromList" -:: listOf a ==> set a
393 ]
395automaton =
396 let auto a b = ADT "Automaton" [a,b] in
397 prefix "Automaton"
398 [ "pure" -:: (a ==> b) ==> auto a b
399 , "init" -:: b ==> (a ==> b ==> b) ==> auto a b
400 , "init'" -:: c ==> (a ==> c ==> tupleOf [b,c]) ==> auto a b
401 , ">>>" -:: auto a b ==> auto b c ==> auto a c
402 , "<<<" -:: auto b c ==> auto a b ==> auto a c
403 , "combine" -:: listOf (auto a b) ==> auto a (listOf b)
404 , "run" -:: auto a b ==> signalOf a ==> signalOf b
405 , "step" -:: auto a b ==> a ==> tupleOf [b,auto a b]
406 , "count" -:: auto a int
407 , "draggable" -:: form ==> auto (tupleOf [bool,point]) form
408 ]
410-------- Everything --------
412hints = mapM (\(n,s) -> (,) n `liftM` rescheme s) hs
413 where hs = concat [ funcs, lists, signals, math, bools, textAttrs
414 , graphicsElement, graphicsColor
415 , concreteSignals, javascript, json, maybeFuncs
416 , http, dictionary, sets, automaton, times, dates
417 ]