Completely redo everything and add partials
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@ -8,10 +8,12 @@
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],
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"exposed-modules": [],
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"dependencies": {
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"Bogdanp/elm-combine": "3.1.1 <= v < 4.0.0",
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"elm-community/ratio": "1.1.0 <= v < 2.0.0",
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"elm-lang/core": "5.1.1 <= v < 6.0.0",
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"elm-lang/html": "2.0.0 <= v < 3.0.0",
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"Bogdanp/elm-combine": "3.1.1 <= v < 4.0.0",
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"mhoare/elm-stack": "3.1.1 <= v < 4.0.0"
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"gilbertkennen/bigint": "1.0.1 <= v < 2.0.0",
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"mgold/elm-nonempty-list": "3.1.0 <= v < 4.0.0"
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},
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"elm-version": "0.18.0 <= v < 0.19.0"
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}
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92
src/Eval.elm
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92
src/Eval.elm
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@ -0,0 +1,92 @@
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module Eval exposing (..)
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import Expr exposing (..)
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import Ratio exposing (Rational(..))
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import Dict exposing (Dict(..))
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import List.Nonempty as Nonempty exposing (Nonempty(..))
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import Stack exposing (..)
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type Error = MathematicalImpossibility | StackUnderflow Int | OpNotFound OpName
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type alias Partial = (OpName, List Value, Int)
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type Value =
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Rational Rational | Partial Partial
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evalGroup : List Expr -> Result Error (List Value)
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evalGroup g =
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List.foldl (\expr result -> Result.andThen (\stack -> evalRec expr stack) result) (Ok []) g
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-- If anything but a StackUnderflow results, just let it go through.
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-- If StackUnderflow occurs, convert it to Partial and push the Partial to stack.
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handleOpResult : OpName -> List Value -> Result Error (List Value) -> Result Error (List Value)
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handleOpResult opname stack r =
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case r of
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Ok x -> r
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Err e ->
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case e of
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StackUnderflow missing ->
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[Partial (opname, stack, missing)]
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|> Ok
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_ -> r
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evalRec : Expr -> List Value -> Result Error (List Value)
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evalRec e s =
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case e of
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Num x ->
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Ratio.fromInt x
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|> Rational
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|> \v -> v::s
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|> Ok
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Group g ->
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evalGroup g
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|> Result.map (\groupStack -> groupStack ++ s)
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Op o ->
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case Dict.get o ops of
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Just opF ->
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opF s
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|> handleOpResult o s
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Nothing -> OpNotFound o |> Err
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eval : Expr -> Result Error (List Value)
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eval e =
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evalRec e []
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type alias Op = List Value -> Result Error (List Value)
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ops : Dict OpName Op
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ops = Dict.fromList [
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("/", binaryOp Ratio.divide),
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("+", binaryOp Ratio.add),
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("*", binaryOp Ratio.multiply),
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("-", binaryOp Ratio.subtract)
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]
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getNums : List Value -> Int -> Result Int (List Value, Nonempty Ratio.Rational)
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getNums stack qty =
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let selectRationals = Nonempty.map (\v -> case v of
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Rational r -> r
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_ -> Ratio.fromInt 0)
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in
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Stack.pick (\v -> case v of
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Rational r -> True
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_ -> False) stack qty
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|> Result.map (\(stack, nums) -> (stack, selectRationals nums))
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binaryOp : (Rational -> Rational -> Rational) -> Op
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binaryOp f stack =
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getNums stack 2
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|> Result.mapError StackUnderflow
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|> Debug.log "BINOP"
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|> Result.map (\(stack, numbers) -> (f (Nonempty.get 0 numbers) (Nonempty.get 1 numbers) |> Rational)::stack)
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prettyPrintValue : Value -> String
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prettyPrintValue v = case v of
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Rational r -> Ratio.toFloat r |> toString
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Partial (op, stack, missing) -> String.join " " <| ["Partial:", op, "["] ++ List.map prettyPrintValue stack ++ ["]", toString missing]
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prettyPrintError : Error -> String
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prettyPrintError e = case e of
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MathematicalImpossibility -> "Does not compute"
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OpNotFound n -> String.concat ["Operator \"", n, "\" not found"]
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StackUnderflow n -> String.join " " ["Stack underflowed by", toString n, "items"]
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46
src/Expr.elm
46
src/Expr.elm
@ -1,52 +1,46 @@
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module Expr exposing (Expr(..), Op(..), parse)
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module Expr exposing (Expr(..), OpName, parse)
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import Combine exposing (..)
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import Combine.Num as Num
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import Combine.Char as Char
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type Op
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= Add
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| Subtract
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| Multiply
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| Divide
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| Exponent
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| Range
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type alias OpName = String
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type Expr
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= Num Float
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| Op Op
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= Num Int
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| Op OpName
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| Group (List Expr)
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num : Parser () Expr
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num =
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(Num <$> Num.float <|> Num << toFloat <$> Num.int)
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<?> "expected a number (int or float)"
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(Num <$> Num.int)
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<?> "expected a number (int)"
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stringIs : String -> a -> Parser s a
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stringIs str val =
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string str *> succeed val
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acceptableOperatorName : Parser () String
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acceptableOperatorName =
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regex "[A-Za-z\\^%*$£!@#~.,=+-_;:/\\\\]*"
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op : Parser () Expr
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op =
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stringIs "+" Add
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<|> stringIs "-" Subtract
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<|> stringIs "*" Multiply
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<|> stringIs "/" Divide
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<|> stringIs "^" Exponent
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<|> stringIs "range" Range
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acceptableOperatorName
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|> map Op
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group : Parser () Expr
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group =
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between (string "(") (string ")") (sepBy1 whitespace (lazy <| \_ -> parser)) -- Avoid bad recursion issues using lazy parser evaluation
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parens (sepBy1 whitespace (lazy <| \_ -> parser)) -- Avoid "bad recursion" issues using lazy parser evaluation
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<?> "expected a group (whitespace-separated expressions between brackets)"
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|> map Group
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parser : Parser () Expr
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parser =
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(lazy <| \_ -> group) <|> op <|> num
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(lazy <| \_ -> group) <|> num <|> op
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parse : String -> Result (List String) Expr
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convertErrorList : List String -> String
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convertErrorList =
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List.intersperse " or " >> String.concat
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parse : String -> Result String Expr
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parse =
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Combine.parse parser
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>> Result.mapError (\(_, _, errorList) -> errorList)
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>> Result.map (\(_, _, expr) -> expr) -- Convert errors/results to nicer format
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>> Result.mapError (\(_, _, errorList) -> convertErrorList errorList) -- Convert error data into only the error message
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>> Result.map (\(_, _, data) -> data) -- Drop irrelevant parse data
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78
src/Main.elm
78
src/Main.elm
@ -4,14 +4,15 @@ import Html exposing (..)
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import Html.Attributes exposing (..)
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import Html.Events exposing (..)
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import Expr exposing (Expr(..), Op(..))
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import Expr exposing (Expr(..), OpName)
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import Eval exposing (eval)
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import Stack exposing (Stack(..))
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import Ratio
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main = Html.beginnerProgram { model = model, update = update, view = view }
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type alias Model =
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{ result : Result (List String) (List Float)
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{ result : Result String (List Eval.Value)
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, expression : String
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}
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@ -28,16 +29,16 @@ update msg model =
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case msg of
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ExpressionTyped str ->
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Expr.parse ("(" ++ str ++ ")") -- wrap str in brackets so it's recognized as a group
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|> Result.andThen eval -- Convert stack underflow errors into a list
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|> Result.andThen (eval >> Result.mapError Eval.prettyPrintError)
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|> \r -> { model | result = r, expression = str }
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error : String -> Html a
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error err =
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div [class "error"] [text err]
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stackItem : Float -> Html a
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stackItem : Eval.Value -> Html a
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stackItem n =
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let asString = toString n
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let asString = Eval.prettyPrintValue n
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minWidth = toString (String.length asString) ++ "em"
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in div [class "item", style [("min-width", minWidth)]] [text asString]
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@ -48,65 +49,10 @@ view model =
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Ok stack ->
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List.reverse stack -- Puts first items at the top, for nicer looks
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|> List.map stackItem
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Err errors ->
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List.map error errors
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Err outputError ->
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[error outputError]
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in div [class "rpncalc"] (
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[ input [onInput ExpressionTyped, value model.expression, class "exprinput"] []
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] ++ calcOutput
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[ div [] calcOutput
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, input [onInput ExpressionTyped, value model.expression, class "exprinput"] []
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]
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)
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listToStack : List a -> Stack a
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listToStack =
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List.foldr Stack.push Stack.initialise
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prependList : List a -> Stack a -> Stack a
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prependList from to =
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List.foldr Stack.push to from
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prepend : Stack a -> Stack a -> Stack a
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prepend from to =
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prependList (Stack.toList from) to
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type alias StackFunction = Stack Float -> Result String (Stack Float)
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-- Runs a binary operation which returns a list on a stack
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binListOutOp : (Float -> Float -> List Float) -> StackFunction
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binListOutOp f s =
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let
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(maybeX, s1) = Stack.pop s
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(maybeY, s2) = Stack.pop s1
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in Maybe.map2 (,) maybeX maybeY
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|> Maybe.map (\(x, y) -> f y x) -- x and y swapped round - this makes "5 1 /" become 5 instead of 0.2.
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|> Maybe.map (\r -> prependList r s2)
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|> Result.fromMaybe "Stack underflow"
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-- Runs a binary operation on a stack
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binOp : (Float -> Float -> Float) -> StackFunction
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binOp f =
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binListOutOp (\x y -> f x y |> List.singleton)
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evalRec : Expr -> Stack Float -> Result String (Stack Float)
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evalRec expr s =
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case expr of
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Group es ->
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List.foldl (\expr s -> Result.andThen (evalRec expr) s) (Ok Stack.initialise) es
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|> Result.map (\newStack -> prepend newStack s) -- prepend new stack's contents to old stack
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Num n ->
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Ok (Stack.push n s)
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Op o ->
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case o of
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Add -> binOp (+) s
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Subtract -> binOp (-) s
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Multiply -> binOp (*) s
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Divide -> binOp (/) s
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Exponent -> binOp (^) s
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Range ->
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binListOutOp (\x y ->
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List.range (floor x) (floor y)
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|> List.map toFloat) s
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eval : Expr -> Result (List String) (List Float)
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eval e =
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evalRec e (Stack.initialise)
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|> Result.map Stack.toList -- Convert stack to list
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|> Result.mapError List.singleton -- Wrap possible stackoverflow error in list
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23
src/Stack.elm
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23
src/Stack.elm
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@ -0,0 +1,23 @@
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-- Contains functions for use of a list as a stack, specifically for use in the calculator
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module Stack exposing (..)
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import List.Nonempty as Nonempty exposing (Nonempty(..))
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-- Gets the specified number of predicate-satisfying values from supplied stack. Returns new stack and values collected
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pick : (a -> Bool) -> List a -> Int -> Result Int (List a, Nonempty a)
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pick pred stack qty =
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let pick curr (values, newStack, num) =
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if pred curr then (curr::values, newStack, num + 1)
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else (values, curr::newStack, num)
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foldF = \c (val, new, num) ->
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if num < qty then pick c (val, new, num)
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else (val, c::new, num)
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(values, newStack, num) = List.foldl foldF ([], [], 0) stack
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in
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if num == qty then
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Nonempty.fromList values
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|> Result.fromMaybe qty
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|> Result.map (\v -> (newStack, v))
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else
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Err <| qty - num
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