module Types.Hints (hints) where
import Context
import Control.Arrow (first)
import Control.Monad (liftM,mapM)
import Types.Types
import Types.Substitutions (rescheme)
ctx str = C (Just str) NoSpan
prefix pre xs = map (first (\x -> pre ++ "." ++ x)) xs
textToText = [ "header", "italic", "bold", "underline"
, "overline", "strikeThrough", "monospace" ]
textAttrs = [ "toText" -: string ==> text
, "Text.typeface" -: string ==> text ==> text
, "Text.link" -:: string ==> text ==> text
, numScheme (\t -> t ==> text ==> text) "Text.height"
] ++ prefix "Text" (hasType (text ==> text) textToText)
elements =
let iee = int ==> element ==> element in
[ "plainText" -: string ==> element
, "link" -:: string ==> element ==> element
, "flow" -: direction ==> listOf element ==> element
, "layers" -: listOf element ==> element
, "text" -: text ==> element
, "image" -: int ==> int ==> string ==> element
, "video" -: int ==> int ==> string ==> element
, "opacity" -: float ==> element ==> element
, "width" -: iee
, "height" -: iee
, "size" -: int ==> iee
, "widthOf" -: element ==> int
, "heightOf"-: element ==> int
, "sizeOf" -: element ==> pairOf int
, "color" -: color ==> element ==> element
, "container" -: int ==> int ==> position ==> element ==> element
, "spacer" -: int ==> int ==> element
, "rightedText" -: text ==> element
, "centeredText" -: text ==> element
, "justifiedText" -: text ==> element
, "asText" -:: a ==> element
, "collage" -: int ==> int ==> listOf form ==> element
, "fittedImage" -: int ==> int ==> string ==> element
]
directions = hasType direction ["up","down","left","right","inward","outward"]
positions =
hasType position ["topLeft","midLeft","bottomLeft","midTop","middle"
,"midBottom","topRight","midRight","bottomRight"] ++
hasType (location ==> location ==> position)
["topLeftAt","bottomLeftAt","middleAt","topRightAt","bottomRightAt"] ++
[ "absolute" -: int ==> location, "relative" -: float ==> location ]
lineTypes = [ numScheme (\n -> listOf (pairOf n) ==> line) "line"
, numScheme (\n -> pairOf n ==> pairOf n ==> line) "segment"
, "customLine" -: listOf int ==> color ==> line ==> form
] ++ hasType (color ==> line ==> form) ["solid","dashed","dotted"]
shapes = [ twoNums (\n m -> listOf (pairOf n) ==> pairOf m ==> shape) "polygon"
, "filled" -: color ==> shape ==> form
, "outlined" -: color ==> shape ==> form
, "textured" -: string ==> shape ==> form
, "customOutline" -: listOf int ==> color ==> shape ==> form
] ++ map (twoNums (\n m -> n ==> n ==> pairOf m ==> shape)) [ "ngon"
, "rect"
, "oval" ]
collages = [ numScheme (\n -> pairOf n ==> element ==> form) "toForm"
, numScheme (\n -> string ==> n ==> n ==> pairOf n ==> form) "sprite"
, numScheme (\n -> n ==> n ==> form ==> form) "move"
, numScheme (\n -> n ==> form ==> form) "rotate"
, numScheme (\n -> n ==> form ==> form) "scale"
, numScheme (\n -> pairOf n ==> form ==> bool) "isWithin"
]
graphicsElement = prefix "Graphics"
(concat [elements,directions,positions,lineTypes,shapes,collages])
graphicsColor = prefix "Color" clrs
where clrs = [ numScheme (\n -> n ==> n ==> n ==> color) "rgb"
, numScheme (\n -> n ==> n ==> n ==> n ==> color) "rgba"
, "complement" -: color ==> color
] ++ hasType color ["red","green","blue","black","white"
,"yellow","cyan","magenta","grey","gray"]
casts =
[ "castJSBoolToBool" -: jsBool ==> bool
, "castBoolToJSBool" -: bool ==> jsBool
, "castJSNumberToInt" -: jsNumber ==> int
, "castIntToJSNumber" -: int ==> jsNumber
, "castJSElementToElement" -: int ==> int ==> jsElement ==> element
, "castElementToJSElement" -: element ==> jsElement
, "castJSStringToString" -: jsString ==> string
, "castStringToJSString" -: string ==> jsString
, "castJSNumberToFloat" -: jsNumber ==> float
, "castFloatToJSNumber" -: float ==> jsNumber
]
castToTuple n = (,) name $ Forall [1..n] [] (jsTuple vs ==> tupleOf vs)
where vs = map VarT [1..n]
name = "castJSTupleToTuple" ++ show n
castToJSTuple n = (,) name $ Forall [1..n] [] (tupleOf vs ==> jsTuple vs)
where vs = map VarT [1..n]
name = "castTupleToJSTuple" ++ show n
polyCasts =
map castToTuple [2..5] ++ map castToJSTuple [2..5] ++
[ "castJSArrayToList" -:: jsArray a ==> listOf a
, "castListToJSArray" -:: listOf a ==> jsArray a
]
javascript = prefix "JavaScript" (concat [casts,polyCasts])
json = prefix "JSON"
[ "JsonString" -: string ==> jsonValue
, "JsonBool" -: bool ==> jsonValue
, "JsonNull" -: jsonValue
, "JsonArray" -: listOf jsonValue ==> jsonValue
, "JsonObject" -: jsonObject ==> jsonValue
, numScheme (\n -> n ==> jsonValue) "JsonNumber"
, "toString" -: jsonObject ==> string
, "fromString" -: string ==> jsonObject
, "lookup" -: string ==> jsonObject ==> maybeOf jsonValue
, "findObject" -: string ==> jsonObject ==> jsonObject
, "findArray" -: string ==> jsonObject ==> listOf jsonValue
, "findString" -: string ==> jsonObject ==> string
, "findWithDefault" -:: jsonValue ==> string ==> jsonObject ==> jsonValue
, "toPrettyString" -: string ==> jsonObject ==> string
, "toPrettyJSString" -: string ==> jsonObject ==> jsString
, "toList" -: jsonObject ==> listOf (tupleOf [string,jsonValue])
, "fromList" -: listOf (tupleOf [string,jsonValue]) ==> jsonObject
, "toJSString" -: jsonObject ==> jsString
, "fromJSString" -: jsString ==> jsonObject
]
lyft n = sig (n+1) ("lift" ++ show n)
sig n name = (,) name $ Forall [1..n] [] (fn ts ==> fn (map signalOf ts))
where fn = foldr1 (==>)
ts = map VarT [1..n]
signals = prefix "Signal"
[ sig 1 "constant"
, sig 2 "lift"
] ++ map lyft [2..8] ++ [
"<~" -:: (a ==> b) ==> signalOf a ==> signalOf b
, "~" -:: signalOf (a ==> b) ==> signalOf a ==> signalOf b
, "foldp" -:: (a ==> b ==> b) ==> b ==> signalOf a ==> signalOf b
, "foldp1" -:: (a ==> a ==> a) ==> signalOf a ==> signalOf a
, "foldp'" -:: (a ==> b ==> b) ==> (a ==> b) ==> signalOf a ==> signalOf b
, "count" -:: signalOf a ==> signalOf int
, "countIf" -:: (a ==> bool) ==> signalOf a ==> signalOf int
, "keepIf" -:: (a ==> bool) ==> a ==> signalOf a ==> signalOf a
, "dropIf" -:: (a ==> bool) ==> a ==> signalOf a ==> signalOf a
, "keepWhen" -:: signalOf bool ==> a ==> signalOf a ==> signalOf a
, "dropWhen" -:: signalOf bool ==> a ==> signalOf a ==> signalOf a
, "dropRepeats" -:: signalOf a ==> signalOf a
, "sampleOn" -:: signalOf a ==> signalOf b ==> signalOf b
, "timestamp" -:: signalOf a ==> signalOf (tupleOf [time,a])
, "timeOf" -:: signalOf a ==> signalOf time
, "merge" -:: signalOf a ==> signalOf a ==> signalOf a
, "merges" -:: listOf (signalOf a) ==> signalOf a
, numScheme (\n -> int ==> signalOf n ==> signalOf float) "average"
]
http = prefix "HTTP"
[ "send" -:: signalOf (request a) ==> signalOf (response string)
, "sendGet" -:: signalOf string ==> signalOf (response string)
, "get" -: string ==> request string
, "post" -: string ==> string ==> request string
, "request" -: string ==> string ==> string ==> listOf (pairOf string) ==> request string
, "Waiting" -:: response a
, "Failure" -:: int ==> string ==> response a
, "Success" -:: a ==> response a ]
where request t = ADT "Request" [t]
response t = ADT "Response" [t]
concreteSignals =
[ "Keyboard.Raw.keysDown" -: signalOf (listOf int)
, "Keyboard.Raw.charPressed" -: signalOf (maybeOf int)
, "Random.inRange" -: int ==> int ==> signalOf int
, "Random.randomize" -:: int ==> int ==> signalOf a ==> signalOf int
, "Window.dimensions" -: signalOf point
, "Window.width" -: signalOf int
, "Window.height" -: signalOf int
, "Mouse.position" -: signalOf point
, "Mouse.x" -: signalOf int
, "Mouse.y" -: signalOf int
, "Mouse.isDown" -: signalOf bool
, "Mouse.isClicked" -: signalOf bool
, "Mouse.clicks" -: signalOf (tupleOf [])
, "Input.textField" -: string ==> tupleOf [element, signalOf string]
, "Input.password" -: string ==> tupleOf [element, signalOf string]
, "Input.textArea" -: int ==> int ==> tupleOf [element, signalOf string]
, "Input.checkBox" -: bool ==> tupleOf [element, signalOf bool]
, "Input.button" -: string ==> tupleOf [element, signalOf bool]
, "Input.stringDropDown" -: listOf string ==> tupleOf [element, signalOf string]
, "Input.dropDown" -:: listOf (tupleOf [string,a]) ==> tupleOf [element, signalOf a]
]
times = prefix "Time"
[ "fps" -: number ==> signalOf time
, "every" -: time ==> signalOf time
, "fpsWhen" -: number ==> signalOf bool ==> signalOf time
, "delay" -:: time ==> signalOf a ==> signalOf a
, "since" -:: time ==> signalOf a ==> signalOf bool
, "hour" -: time
, "minute" -: time
, "second" -: time
, "ms" -: time
, "inHours" -: time ==> float
, "inMinutes" -: time ==> float
, "inSeconds" -: time ==> float
, "inMss" -: time ==> float
, "toDate" -: time ==> date
, "read" -: string ==> maybeOf time
]
dates =
let days = map (-: day) ["Sun", "Mon", "Tue", "Wed", "Thu", "Fri", "Sat"]
months = map (-: month) [ "Jan", "Feb", "Mar", "Apr", "May", "Jun"
, "Jul", "Aug", "Sep", "Oct", "Nov", "Dec" ]
in prefix "Date"
([ "read" -: string ==> maybeOf date
, "year" -: date ==> int
, "month" -: date ==> month
, "day" -: date ==> int
, "hour" -: date ==> int
, "minute" -: date ==> int
, "second" -: date ==> int
, "dayOfWeek" -: date ==> day
, "toTime" -: date ==> time
] ++ days ++ months)
binop t = t ==> t ==> t
scheme1 super t name =
(name, Forall [0] [ ctx name $ VarT 0 :<: super
] (t (VarT 0)))
scheme2 s1 s2 t name =
(name, Forall [0,1] [ ctx name $ VarT 0 :<: s1
, ctx name $ VarT 1 :<: s2
] (t (VarT 0) (VarT 1)))
numScheme t name = scheme1 number t name
twoNums f name = scheme2 number number f name
math =
map (numScheme (\t -> t ==> binop t)) ["clamp"] ++
map (numScheme (\t -> binop t)) ["+","-","*","max","min"] ++
[ numScheme (\t -> t ==> t) "abs" ] ++
hasType (binop float) [ "/", "logBase" ] ++
hasType (binop int) ["rem","div","mod"] ++
hasType (float ==> float) ["sin","cos","tan","asin","acos","atan","sqrt"] ++
hasType float ["pi","e"] ++
hasType (int ==> float) ["toFloat","castIntToFloat"] ++
hasType (float ==> int) ["round","floor","ceiling","truncate"] ++
[ "show" -:: a ==> string
, "readInt" -: string ==> maybeOf int
, "readFloat" -: string ==> maybeOf float ]
bools =
[ "not" -: bool ==> bool ] ++
hasType (binop bool) ["&&","||"] ++
map (scheme1 comparable (\t -> t ==> t ==> bool)) ["<",">","<=",">="] ++
[ ( "compare"
, Forall [0,1] [ ctx "compare" $ VarT 0 :<: comparable ] (VarT 0 ==> VarT 0 ==> VarT 1) )
]
chars = prefix "Char" (classify ++ convert1 ++ convert2)
where classify = hasType (char ==> bool)
["isDigit","isOctDigit","isHexDigit","isUpper","isLower"]
convert1 = hasType (char ==> char)
["toUpper","toLower","toLocaleUpper","toLocaleLower"]
convert2 = [ "toCode" -: char ==> int, "fromCode" -: int ==> char ]
[a,b,c] = map VarT [1,2,3]
infix 8 -::
name -:: tipe = (name, Forall [1,2,3] [] tipe)
funcs =
[ "id" -:: a ==> a
, "==" -:: a ==> a ==> bool
, "/=" -:: a ==> a ==> bool
, "flip" -:: (a ==> b ==> c) ==> (b ==> a ==> c)
, "." -:: (b ==> c) ==> (a ==> b) ==> (a ==> c)
, "$" -:: (a ==> b) ==> a ==> b
, ":" -:: a ==> listOf a ==> listOf a
, (,) "++" . Forall [0,1] [ ctx "++" $ VarT 0 :<: appendable (VarT 1) ] $ VarT 0 ==> VarT 0 ==> VarT 0
, "Cons" -:: a ==> listOf a ==> listOf a
, "Nil" -:: listOf a
, "Just" -:: a ==> maybeOf a
, "Nothing" -:: maybeOf a
, "curry" -:: (tupleOf [a,b] ==> c) ==> a ==> b ==> c
, "uncurry" -:: (a ==> b ==> c) ==> tupleOf [a,b] ==> c
] ++ map tuple [0..8]
tuple n = ("Tuple" ++ show n, Forall [1..n] [] $ foldr (==>) (tupleOf vs) vs)
where vs = map VarT [1..n]
lists = prefix "List"
[ "and" -:: listOf bool ==> bool
, "or" -:: listOf bool ==> bool
, numScheme (\n -> listOf n ==> listOf n) "sort"
, "head" -:: listOf a ==> a
, "tail" -:: listOf a ==> listOf a
, "length" -:: listOf a ==> int
, "filter" -:: (a ==> bool) ==> listOf a ==> listOf a
, "foldr1" -:: (a ==> a ==> a) ==> listOf a ==> a
, "foldl1" -:: (a ==> a ==> a) ==> listOf a ==> a
, "scanl1" -:: (a ==> a ==> a) ==> listOf a ==> a
, "all" -:: (a ==> bool) ==> listOf a ==> bool
, "any" -:: (a ==> bool) ==> listOf a ==> bool
, "reverse" -:: listOf a ==> listOf a
, "take" -:: int ==> listOf a ==> listOf a
, "drop" -:: int ==> listOf a ==> listOf a
, "partition" -:: (a ==> bool) ==> listOf a ==> tupleOf [listOf a,listOf a]
, "intersperse" -:: a ==> listOf a ==> listOf a
, "zip" -:: listOf a ==>listOf b ==>listOf(tupleOf [a,b])
, "map" -:: (a ==> b) ==> listOf a ==> listOf b
, "foldr" -:: (a ==> b ==> b) ==> b ==> listOf a ==> b
, "foldl" -:: (a ==> b ==> b) ==> b ==> listOf a ==> b
, "scanl" -:: (a ==> b ==> b) ==> b ==> listOf a ==> listOf b
, (,) "concat" . Forall [0,1] [ ctx "concat" $ VarT 0 :<: appendable (VarT 1) ] $
listOf (VarT 0) ==> VarT 0
, (,) "concatMap" . Forall [0,1,2] [ ctx "concatMap" $ VarT 0 :<: appendable (VarT 1) ] $
(VarT 2 ==> VarT 0) ==> listOf (VarT 2) ==> VarT 0
, (,) "intercalate" . Forall [0,1] [ ctx "intercalate" $ VarT 0 :<: appendable (VarT 1) ] $
VarT 0 ==> listOf (VarT 0) ==> VarT 0
, "zipWith" -:: (a ==> b ==> c) ==> listOf a ==> listOf b ==> listOf c
] ++ map (numScheme (\n -> listOf n ==> n)) [ "sum", "product"
, "maximum", "minimum" ]
maybeFuncs = prefix "Maybe"
[ "maybe" -:: b ==> (a ==> b) ==> maybeOf a ==> b
, "isJust" -:: maybeOf a ==> bool
, "isNothing" -:: maybeOf a ==> bool
, "fromMaybe" -:: a ==> maybeOf a ==> a
, "consMaybe" -:: maybeOf a ==> listOf a ==> listOf a
, "catMaybes" -:: listOf (maybeOf a) ==> listOf a
, "catMaybes" -:: (a ==> maybeOf b) ==> listOf a ==> listOf b
]
dictionary =
let dict k v = ADT "Dict" [k,v] in
prefix "Dict"
[ "empty" -:: dict a b
, "singleton" -:: a ==> b ==> dict a b
, "insert" -:: a ==> b ==> dict a b ==> dict a b
, "remove" -:: a ==> dict a b ==> dict a b
, "member" -:: a ==> dict a b ==> bool
, "lookup" -:: a ==> dict a b ==> maybeOf b
, "findWithDefault" -:: b ==> a ==> dict a b ==> b
, "intersect" -:: dict a b ==> dict a c ==> dict a b
, "union" -:: dict a b ==> dict a b ==> dict a b
, "diff" -:: dict a b ==> dict a c ==> dict a b
, "map" -:: (b ==> c) ==> dict a b ==> dict a c
, "foldl" -:: (a ==> b ==> c ==> c) ==> c ==> dict a b ==> c
, "foldr" -:: (a ==> b ==> c ==> c) ==> c ==> dict a b ==> c
, "keys" -:: dict a b ==> listOf a
, "values" -:: dict a b ==> listOf b
, "toList" -:: dict a b ==> listOf (tupleOf [a,b])
, "fromList" -:: listOf (tupleOf [a,b]) ==> dict a b
]
sets =
let set v = ADT "Set" [v] in
prefix "Set"
[ "empty" -:: set a
, "singleton" -:: a ==> set a
, "insert" -:: a ==> set a ==> set a
, "remove" -:: a ==> set a ==> set a
, "member" -:: a ==> set a ==> bool
, "intersect" -:: set a ==> set a ==> set a
, "union" -:: set a ==> set a ==> set a
, "diff" -:: set a ==> set a ==> set a
, "map" -:: (a ==> b) ==> set a ==> set b
, "foldl" -:: (a ==> b ==> b) ==> b ==> set a ==> b
, "foldr" -:: (a ==> b ==> b) ==> b ==> set a ==> b
, "toList" -:: set a ==> listOf a
, "fromList" -:: listOf a ==> set a
]
automaton =
let auto a b = ADT "Automaton" [a,b] in
prefix "Automaton"
[ "pure" -:: (a ==> b) ==> auto a b
, "init" -:: b ==> (a ==> b ==> b) ==> auto a b
, "init'" -:: c ==> (a ==> c ==> tupleOf [b,c]) ==> auto a b
, ">>>" -:: auto a b ==> auto b c ==> auto a c
, "<<<" -:: auto b c ==> auto a b ==> auto a c
, "combine" -:: listOf (auto a b) ==> auto a (listOf b)
, "run" -:: auto a b ==> signalOf a ==> signalOf b
, "step" -:: auto a b ==> a ==> tupleOf [b,auto a b]
, "count" -:: auto a int
, "draggable" -:: form ==> auto (tupleOf [bool,point]) form
]
hints = mapM (\(n,s) -> (,) n `liftM` rescheme s) hs
where hs = concat [ funcs, lists, signals, math, bools, textAttrs
, graphicsElement, graphicsColor
, concreteSignals, javascript, json, maybeFuncs
, http, dictionary, sets, automaton, times, dates
]