circle-packing 0.1.0.0 → 0.1.0.1
raw patch · 8 files changed
+967/−52 lines, 8 filesdep ~base
Dependency ranges changed: base
Files
- Optimisation/CirclePacking.hs +84/−47
- benchmark.hs +20/−0
- circle-packing.cabal +13/−5
- diagrams-demo.hs +19/−0
- fay/Makefile +8/−0
- fay/fay-demo.hs +135/−0
- fay/fay-demo.html +20/−0
- fay/fay-demo.js +668/−0
Optimisation/CirclePacking.hs view
@@ -1,3 +1,5 @@+{-# LANGUAGE CPP #-}+ {- | Copyright : Copyright (C) 2012 Joachim Breitner License : BSD3@@ -12,10 +14,27 @@ -- $example ) where -import Data.List (sortBy, minimumBy)+#if defined(__GLASGOW_HASKELL__ )+import Data.List (sortBy, find) import Data.Ord (comparing)+import Data.Maybe (fromMaybe)+#else+import Language.Fay.Prelude +-- Not provided in Fay set, it seems+comparing :: (b -> Double) -> b -> b -> Ordering+comparing p x y = compare (p x) (p y) +fromMaybe :: a -> Maybe a -> a+fromMaybe d x = case x of {Nothing -> d;Just v -> v}+#endif++type Radius = Double+type Circle a = (Double, a)+type Coordinate = (Double, Double)+type PlacedCircle a = ((Double, a), Coordinate)+type TouchingCircles a = [(PlacedCircle a, PlacedCircle a)]+ {- | 'packCircles' takes a list of circles and a function that yields the radius of the circle. @@ -38,62 +57,80 @@ -} packCircles :: (a -> Double) -> [a] -> [(a, (Double, Double))]-packCircles radius = go . sortBy (comparing radius)+packCircles radiusFunction =+ -- Forget the cached radius+ map (\t -> case t of (x,p) -> (snd x, p)) .+ -- Forget the pairs of touching circles+ fst .+ -- Run the main algorithm+ go . + -- Look at large circles last+ sortBy (comparing radius) .+ -- Cache the radius+ map (\x -> (radiusFunction x, x))++-- Just for a nicer name+radius :: Circle a -> Radius+radius = fst++-- Place the tail, then try to place the head+go :: [Circle a] -> ([PlacedCircle a], TouchingCircles a)+go [] = ([],[])+go (c:cs) = case go cs of+ (placed, pairs) -> case place c placed pairs of+ (cp, newPairs) -> (cp : placed, newPairs ++ pairs)++place :: Circle a -> [PlacedCircle a] -> TouchingCircles a ->+ (PlacedCircle a, TouchingCircles a)+place c [] _ = ((c, (0,0)), [])++place c [cp'@(c',(x,y))] _ = + let cp = (c, (x + radius c + radius c', y))+ in (cp, [(cp, cp')])++place c placed pairs = (cp, newPairs) where- go [] = []- go (c:cs) = let placed = go cs in (c, place c placed) : placed- place _ [] = (0,0)- place c [(c',(x,y))] = (x + radius c + radius c', y)- place c placed = minimumBy (comparing centerDistance)- [ p | (c1, c2) <- allPairs placed,+ newPairs = [ (cp, cp') | cp' <- placed, touching cp cp' ]+ cp = (c, p)+ p = fromMaybe (error "packCircles: The end of the real plane has been reached?") $+ find (\p' -> all (valid p') placed) $+ sortBy (comparing centerDistance)+ [ p' | (c1, c2) <- pairs, touching c1 c2,- p <- near c1 c2,- all (valid p) placed+ p' <- near c1 c2 ]- where- centerDistance (x,y) = sqrt ((centerx - x)**2 + (centery - y)**2)-- centerx = sum [x * (radius c')**2 | (c',(x,_)) <- placed] / area- centery = sum [y * (radius c')**2 | (c',(_,y)) <- placed] / area- area = sum [(radius c')**2 | (c',_) <- placed] + centerDistance (x,y) = sqrt ((centerx - x)**2 + (centery - y)**2) - valid (x1,y1) (c2,(x2,y2)) =- sqrt ((x2 - x1)**2 + (y2-y1)**2) >= (radius c + radius c2) * (1-eps)- - touching (c1,(x1,y1)) (c2, (x2, y2)) = - sqrt ((x2 - x1)**2 + (y2-y1)**2) <= (radius c1 + radius c2) * (1+eps)+ centerx = sum [x * (radius c')**2 | (c',(x,_)) <- placed] / area+ centery = sum [y * (radius c')**2 | (c',(_,y)) <- placed] / area+ area = sum [(radius c')**2 | (c',_) <- placed] - near (c1,(x1,y1)) (c2, (x2, y2)) = [(c1x,c1y), (c2x,c2y)]- where- base = sqrt ((x2 - x1)**2 + (y2 - y1)**2)- lat1 = radius c1 + radius c- lat2 = radius c2 + radius c- --From http://stackoverflow.com/a/11356687/946226- ad_length = (base**2 + lat1**2 - lat2**2)/(2 * base)- h = sqrt (abs (lat1**2 - ad_length**2))- dx = x1 + ad_length * (x2 - x1)/base- dy = y1 + ad_length * (y2 - y1)/base- - c1x = dx + h * (y2 - y1) / base- c1y = dy - h * (x2 - x1) / base+ valid (x1,y1) (c2,(x2,y2)) =+ sqrt ((x2 - x1)**2 + (y2-y1)**2) >= (radius c + radius c2) * (1-eps)+ + touching (c1,(x1,y1)) (c2, (x2, y2)) = + sqrt ((x2 - x1)**2 + (y2-y1)**2) <= (radius c1 + radius c2) * (1+eps) - c2x = dx - h * (y2 - y1) / base- c2y = dy + h * (x2 - x1) / base+ near (c1,(x1,y1)) (c2, (x2, y2)) = [(c1x,c1y), (c2x,c2y)]+ where+ base = sqrt ((x2 - x1)**2 + (y2 - y1)**2)+ lat1 = radius c1 + radius c+ lat2 = radius c2 + radius c+ --From http://stackoverflow.com/a/11356687/946226+ ad_length = (base**2 + lat1**2 - lat2**2)/(2 * base)+ h = sqrt (abs (lat1**2 - ad_length**2))+ dx = x1 + ad_length * (x2 - x1)/base+ dy = y1 + ad_length * (y2 - y1)/base+ + c1x = dx + h * (y2 - y1) / base+ c1y = dy - h * (x2 - x1) / base --- Possible ways to speed this up:--- * Cache radius--- * Remember which circles are touching --- * First sort all points, then take first valid, instead of checking validity--- for all of them. + c2x = dx - h * (y2 - y1) / base+ c2y = dy + h * (x2 - x1) / base eps :: Double eps = 0.00001 -allPairs :: [a] -> [(a,a)]-allPairs [] = []-allPairs (x:xs) = [ (x,y) | y <- xs ] ++ allPairs xs-- {-$example The following code demonstrates how one can use 'packCircles' together with@@ -119,7 +156,7 @@ > position $ map (\(o,(x,y)) -> (p2 (x,y),o)) $ > packCircles radiusApproximation objects -This generates the following SVG file (if your Browser manges to display it):+This generates the following SVG file (if your browser manges to display it): <<data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8"?>
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+ benchmark.hs view
@@ -0,0 +1,20 @@+import Criterion.Main+import Optimisation.CirclePacking++fib :: Int -> Int+fib 0 = 0+fib 1 = 1+fib n = fib (n - 1) + fib (n - 2)++maxSize = 9++sets = + [ ("Widly varying", take (2^n) $ [1,2..]) | n <- [4..maxSize] ] +++ [ ("Slightly varying", take (2^n) $ cycle [1,1.1..10]) | n <- [4..maxSize] ] +++ [ ("Equal size", take (2^n) $ repeat 1) | n <- [4..maxSize] ]++proc cs = packCircles id cs++main = defaultMain $+ [ bench (desc ++ " (" ++ show (length c) ++ " circles)") $ nf proc c |+ (desc, c) <- sets ]
circle-packing.cabal view
@@ -1,5 +1,5 @@ name: circle-packing-version: 0.1.0.0+version: 0.1.0.1 synopsis: Simple heuristic for packing discs of varying radii in a circle description: Given a number of circles with their radii, this packags tries arrange them tightly, without overlap and forming a@@ -14,16 +14,24 @@ Contributions of better algorithms are welcome. license: BSD3 license-file: LICENSE-author: Joachim Breitner-maintainer: mail@joachim-breitner.de--- copyright: +author: Joachim Breitner <mail@joachim-breitner.de>+maintainer: Joachim Breitner <mail@joachim-breitner.de>+copyright: 2012, Joachim Breitner category: Optimisation build-type: Simple cabal-version: >=1.8+extra-source-files:+ benchmark.hs+ diagrams-demo.hs+ fay/Makefile+ fay/fay-demo.html+ fay/fay-demo.hs+ fay/fay-demo.js + library exposed-modules: Optimisation.CirclePacking - build-depends: base ==4.5.*+ build-depends: base ==4.5.* || ==4.6.* ghc-options: -Wall source-repository head
+ diagrams-demo.hs view
@@ -0,0 +1,19 @@+import Diagrams.Prelude+import Diagrams.Backend.Cairo.CmdLine++import Optimisation.CirclePacking++colorize = zipWith fc $+ cycle [red,blue,yellow,magenta,cyan,bisque,firebrick,indigo]++objects = colorize $+ [ circle r | r <- [0.1,0.2..1.6] ] +++ [ hexagon r | r <- [0.1,0.2..0.7] ] +++ [ decagon r | r <- [0.1,0.2..0.7] ]++-- Just a approximation, diagram objects do not have an exact radius+radiusApproximation o = maximum [ radius (e (CircleFrac alpha)) o | alpha <- [0,0.1..1.0]]++main = defaultMain $+ position $ map (\(o,(x,y)) -> (p2 (x,y),o)) $+ packCircles radiusApproximation objects
+ fay/Makefile view
@@ -0,0 +1,8 @@+FAY:="fay"++fay-demo.js: fay-demo.hs Optimisation/CirclePacking.hs+ $(FAY) fay-demo.hs+ +Optimisation/CirclePacking.hs: ../Optimisation/CirclePacking.hs+ cpphs --noline $? -O$@+
+ fay/fay-demo.hs view
@@ -0,0 +1,135 @@+{-# LANGUAGE EmptyDataDecls #-}++module FayDemo (main) where++import Language.Fay.FFI+import Language.Fay.Prelude+import Optimisation.CirclePacking++-- | Main entry point.+main :: Fay ()+main = do+ -- body <- getElementById "body"+ window <- getWindow+ addEventListener window "load" start False++colors = ["Black","Green","Silver", "Lime", "Gray", "Olive", "Yellow", "Maroon", "Navy", "Red", "Blue", "Purple", "Teal", "Fuchsia", "Aqua"]++parseInt :: String -> Int+parseInt = ffi "(function () { var n = window.parseInt(%1, 10); if (isNaN(n)) return null; return n; })()"++start :: Fay ()+start = do+ input <- getElementById "input"+ addEventListener input "change" update False+ addEventListener input "input" update False+ addEventListener input "keyup" update False+ addEventListener input "paste" update False+ update++update :: Fay ()+update = do+ canvas <- getElementById "can"+ clearCanvas canvas++ context <- getContext canvas "2d"+ w <- getWidth canvas+ h <- getHeight canvas++ input <- getElementById "input"+ value <- getValue input+ let radii = map (fromIntegral . parseInt) (words value)++ let packed = packCircles id radii+ let colored = zip packed (cycle colors)+ forM_ colored $ \res -> do+ let circle = fst res+ let color = snd res+ beginPath context+ addCircle context (fst circle) (fst (snd circle) + w/2) (snd (snd circle) + h/2)+ setFillStyle context color+ fill context+++class Eventable a++-- | A DOM element.+data Element+instance Foreign Element+instance Eventable Element++-- | Add an event listener to an element.+addEventListener :: (Foreign a,Eventable a) => a -> String -> Fay () -> Bool -> Fay ()+addEventListener = ffi "%1['addEventListener'](%2,%3,%4)"++-- | Get an element by its ID.+getElementById :: String -> Fay Element+getElementById = ffi "document['getElementById'](%1)"++getElementsByTagName :: String -> Fay Element+getElementsByTagName = ffi "document['getElementsByTagName'](%1)[0]"++--------------------------------------------------------------------------------+-- Images++data Image+instance Foreign Image+instance Eventable Image++-- | Make a new image.+newImage :: Fay Image+newImage = ffi "new Image()"++-- | Make a new image.+setSrc :: Image -> String -> Fay ()+setSrc = ffi "%1['src'] = %2"++--------------------------------------------------------------------------------+-- Canvas++-- | A canvas context.+data Context+instance Foreign Context++-- | Get an element by its ID.+getContext :: Element -> String -> Fay Context+getContext = ffi "%1['getContext'](%2)"++clearCanvas :: Element -> Fay ()+clearCanvas = ffi "%1['getContext']('2d')['clearRect']( 0 , 0 , %1['width'] , %1['height'])"++getValue :: Element -> Fay String+getValue = ffi "%1['value']"+getWidth :: Element -> Fay Double+getWidth = ffi "%1['width']"+getHeight :: Element -> Fay Double+getHeight = ffi "%1['height']"++beginPath :: Context -> Fay ()+beginPath = ffi "%1['beginPath']()"++addCircle :: Context -> Double -> Double -> Double -> Fay ()+addCircle = ffi "%1['arc'](%3,%4,%2,0,2*Math.PI,false)"++-- | Set the fill style.+setFillStyle :: Context -> String -> Fay ()+setFillStyle = ffi "%1['fillStyle']=%2"++fill :: Context -> Fay ()+fill = ffi "%1['fill']()"++getWindow :: Fay Element+getWindow = ffi "window"++-- | Alert using window.alert.+alert :: Foreign a => a -> Fay ()+alert = ffi "window['alert'](%1)"++-- | Alert using window.alert.+print :: Double -> Fay ()+print = ffi "console['log'](%1)"++-- | Alert using window.alert.+printLog :: String -> Fay ()+printLog = ffi "console['log'](%1)"+
+ fay/fay-demo.html view
@@ -0,0 +1,20 @@+<!doctype html>+<html>+ <head>+ <title>Demonstrating circle-packing</title> + <script src="fay-demo.js"></script>+ </head>+ <body id="body" style="margin:0;padding:0">+ <div align="center">+ <canvas width="800" height="500" id="can"></canvas>+ <input style="width: 800px" id="input" value="50 32 30 30 40 35 5 20 43 18 12"/>+ <p style="width: 800px; text-align:justify; font-family:sans; font-size:80%">+ + This is a small life demonstration of the Haskell library <a href="http://hackage.haskell.org/package/circle-packing"><tt>circle-packing</tt></a> by <a href="http://www.joachim-breitner.de/">Joachim Breitner</a>:<br/> + Given a number of circles with their radii, this packags tries arrange them tightly, without overlap and forming a large circle.<br/>+Finding the optimal solution is NP hard, so only heuristics are feasible. This particular implementation is neither very good nor very fast, compared to the state of the art in research. Nevertheless it is simple to use and gives visually acceptable results.<br/>+ This particular demonstration uses the <a href="http://fay-lang.org/">Fay compiler</a> to generate JavaScript code from <a href="../Optimisation/CirclePacking.hs">the original Haskell code</a> and some <a href="fay-demo.hs">code to address the HTML5 canvas</a>, so altough it runs in your browser, this <em>is</em> the Haskell code at work.+ </p>+ </div>+ </body>+</html>
+ fay/fay-demo.js view
@@ -0,0 +1,668 @@+/** @constructor+*/+var FayDemo = function(){+var True = true;+var False = false;++/*******************************************************************************+ * Thunks.+ */++// Force a thunk (if it is a thunk) until WHNF.+function _(thunkish,nocache){+ while (thunkish instanceof $) {+ thunkish = thunkish.force(nocache);+ }+ return thunkish;+}++// Apply a function to arguments (see method2 in Fay.hs).+function __(){+ var f = arguments[0];+ for (var i = 1, len = arguments.length; i < len; i++) {+ f = (f instanceof $? _(f) : f)(arguments[i]);+ }+ return f;+}++// Thunk object.+function $(value){+ this.forced = false;+ this.value = value;+}++// Force the thunk.+$.prototype.force = function(nocache) {+ return nocache ?+ this.value() :+ (this.forced ?+ this.value :+ (this.value = this.value(), this.forced = true, this.value));+};++function Fay$$seq(x) {+ return function(y) {+ _(x,false);+ return y;+ }+}++function Fay$$seq$36$uncurried(x,y) {+ _(x,false);+ return y;+}++/*******************************************************************************+ * Monad.+ */++function Fay$$Monad(value){+ this.value = value;+}++// This is used directly from Fay, but can be rebound or shadowed. See primOps in Types.hs.+// >>+function Fay$$then(a){+ return function(b){+ return Fay$$bind(a)(function(_){+ return b;+ });+ };+}++// This is used directly from Fay, but can be rebound or shadowed. See primOps in Types.hs.+// >>+function Fay$$then$36$uncurried(a,b){+ return Fay$$bind$36$uncurried(a,function(_){ return b; });+}++// >>=+// This is used directly from Fay, but can be rebound or shadowed. See primOps in Types.hs.+function Fay$$bind(m){+ return function(f){+ return new $(function(){+ var monad = _(m,true);+ return f(monad.value);+ });+ };+}++// >>=+// This is used directly from Fay, but can be rebound or shadowed. See primOps in Types.hs.+function Fay$$bind$36$uncurried(m,f){+ return new $(function(){+ var monad = _(m,true);+ return f(monad.value);+ });+}++// This is used directly from Fay, but can be rebound or shadowed.+function Fay$$$_return(a){+ return new Fay$$Monad(a);+}++// Allow the programmer to access thunk forcing directly.+function Fay$$force(thunk){+ return function(type){+ return new $(function(){+ _(thunk,type);+ return new Fay$$Monad(Fay$$unit);+ })+ }+}++// This is used directly from Fay, but can be rebound or shadowed.+function Fay$$return$36$uncurried(a){+ return new Fay$$Monad(a);+}++// Unit: ().+var Fay$$unit = null;++/*******************************************************************************+ * Serialization.+ * Fay <-> JS. Should be bijective.+ */++// Serialize a Fay object to JS.+function Fay$$fayToJs(type,fayObj){+ var base = type[0];+ var args = type[1];+ var jsObj;+ switch(base){+ case "action": {+ // A nullary monadic action. Should become a nullary JS function.+ // Fay () -> function(){ return ... }+ jsObj = function(){+ return Fay$$fayToJs(args[0],_(fayObj,true).value);+ };+ break;+ }+ case "function": {+ // A proper function.+ jsObj = function(){+ var fayFunc = fayObj;+ var return_type = args[args.length-1];+ var len = args.length;+ // If some arguments.+ if (len > 1) {+ // Apply to all the arguments.+ fayFunc = _(fayFunc,true);+ // TODO: Perhaps we should throw an error when JS+ // passes more arguments than Haskell accepts.+ for (var i = 0, len = len; i < len - 1 && fayFunc instanceof Function; i++) {+ // Unserialize the JS values to Fay for the Fay callback.+ fayFunc = _(fayFunc(Fay$$jsToFay(args[i],arguments[i])),true);+ }+ // Finally, serialize the Fay return value back to JS.+ var return_base = return_type[0];+ var return_args = return_type[1];+ // If it's a monadic return value, get the value instead.+ if(return_base == "action") {+ return Fay$$fayToJs(return_args[0],fayFunc.value);+ }+ // Otherwise just serialize the value direct.+ else {+ return Fay$$fayToJs(return_type,fayFunc);+ }+ } else {+ throw new Error("Nullary function?");+ }+ };+ break;+ }+ case "string": {+ // Serialize Fay string to JavaScript string.+ var str = "";+ fayObj = _(fayObj);+ while(fayObj instanceof Fay$$Cons) {+ str += fayObj.car;+ fayObj = _(fayObj.cdr);+ }+ jsObj = str;+ break;+ }+ case "list": {+ // Serialize Fay list to JavaScript array.+ var arr = [];+ fayObj = _(fayObj);+ while(fayObj instanceof Fay$$Cons) {+ arr.push(Fay$$fayToJs(args[0],fayObj.car));+ fayObj = _(fayObj.cdr);+ }+ jsObj = arr;+ break;+ }+ case "tuple": {+ // Serialize Fay tuple to JavaScript array.+ var arr = [];+ fayObj = _(fayObj);+ var i = 0;+ while(fayObj instanceof Fay$$Cons) {+ arr.push(Fay$$fayToJs(args[i++],fayObj.car));+ fayObj = _(fayObj.cdr);+ }+ jsObj = arr;+ break;+ }+ case "defined": {+ fayObj = _(fayObj);+ if (fayObj instanceof $_Language$Fay$Stdlib$Undefined) {+ jsObj = undefined;+ } else {+ jsObj = Fay$$fayToJs(args[0],fayObj["slot1"]);+ }+ break;+ }+ case "double": {+ // Serialize double, just force the argument. Doubles are unboxed.+ jsObj = _(fayObj);+ break;+ }+ case "int": {+ // Serialize int, just force the argument. Ints are unboxed.+ jsObj = _(fayObj);+ break;+ }+ case "bool": {+ // Bools are unboxed.+ jsObj = _(fayObj);+ break;+ }+ case "unknown":+ case "user": {+ if(fayObj instanceof $)+ fayObj = _(fayObj);+ jsObj = Fay$$fayToJsUserDefined(type,fayObj);+ break;+ }+ default: throw new Error("Unhandled Fay->JS translation type: " + base);+ }+ return jsObj;+}++// Unserialize an object from JS to Fay.+function Fay$$jsToFay(type,jsObj){+ var base = type[0];+ var args = type[1];+ var fayObj;+ switch(base){+ case "action": {+ // Unserialize a "monadic" JavaScript return value into a monadic value.+ fayObj = new Fay$$Monad(Fay$$jsToFay(args[0],jsObj));+ break;+ }+ case "string": {+ // Unserialize a JS string into Fay list (String).+ fayObj = Fay$$list(jsObj);+ break;+ }+ case "list": {+ // Unserialize a JS array into a Fay list ([a]).+ var serializedList = [];+ for (var i = 0, len = jsObj.length; i < len; i++) {+ // Unserialize each JS value into a Fay value, too.+ serializedList.push(Fay$$jsToFay(args[0],jsObj[i]));+ }+ // Pop it all in a Fay list.+ fayObj = Fay$$list(serializedList);+ break;+ }+ case "tuple": {+ // Unserialize a JS array into a Fay tuple ((a,b,c,...)).+ var serializedTuple = [];+ for (var i = 0, len = jsObj.length; i < len; i++) {+ // Unserialize each JS value into a Fay value, too.+ serializedTuple.push(Fay$$jsToFay(args[i],jsObj[i]));+ }+ // Pop it all in a Fay list.+ fayObj = Fay$$list(serializedTuple);+ break;+ }+ case "defined": {+ if (jsObj === undefined) {+ fayObj = new $_Language$Fay$Stdlib$Undefined();+ } else {+ fayObj = new $_Language$Fay$Stdlib$Defined(Fay$$jsToFay(args[0],jsObj));+ }+ break;+ }+ case "double": {+ // Doubles are unboxed, so there's nothing to do.+ fayObj = jsObj;+ break;+ }+ case "int": {+ // Int are unboxed, so there's no forcing to do.+ // But we can do validation that the int has no decimal places.+ // E.g. Math.round(x)!=x? throw "NOT AN INTEGER, GET OUT!"+ fayObj = Math.round(jsObj);+ if(fayObj!==jsObj) throw "Argument " + jsObj + " is not an integer!";+ break;+ }+ case "bool": {+ // Bools are unboxed.+ fayObj = jsObj;+ break;+ }+ case "unknown":+ case "user": {+ if (jsObj && jsObj['instance']) {+ fayObj = Fay$$jsToFayUserDefined(type,jsObj);+ }+ else+ fayObj = jsObj;+ break;+ }+ default: throw new Error("Unhandled JS->Fay translation type: " + base);+ }+ return fayObj;+}++/*******************************************************************************+ * Lists.+ */++// Cons object.+function Fay$$Cons(car,cdr){+ this.car = car;+ this.cdr = cdr;+}++// Make a list.+function Fay$$list(xs){+ var out = null;+ for(var i=xs.length-1; i>=0;i--)+ out = new Fay$$Cons(xs[i],out);+ return out;+}++// Built-in list cons.+function Fay$$cons(x){+ return function(y){+ return new Fay$$Cons(x,y);+ };+}++// List index.+function Fay$$index(index){+ return function(list){+ for(var i = 0; i < index; i++) {+ list = _(list).cdr;+ }+ return list.car;+ };+}++// List length.+function Fay$$listLen(list,max){+ for(var i = 0; list !== null && i < max + 1; i++) {+ list = _(list).cdr;+ }+ return i == max;+}++/*******************************************************************************+ * Numbers.+ */++// Built-in *.+function Fay$$mult(x){+ return function(y){+ return new $(function(){+ return _(x) * _(y);+ });+ };+}++function Fay$$mult$36$uncurried(x,y){++ return new $(function(){+ return _(x) * _(y);+ });++}++// Built-in +.+function Fay$$add(x){+ return function(y){+ return new $(function(){+ return _(x) + _(y);+ });+ };+}++// Built-in +.+function Fay$$add$36$uncurried(x,y){++ return new $(function(){+ return _(x) + _(y);+ });++}++// Built-in -.+function Fay$$sub(x){+ return function(y){+ return new $(function(){+ return _(x) - _(y);+ });+ };+}+// Built-in -.+function Fay$$sub$36$uncurried(x,y){++ return new $(function(){+ return _(x) - _(y);+ });++}++// Built-in /.+function Fay$$div(x){+ return function(y){+ return new $(function(){+ return _(x) / _(y);+ });+ };+}++// Built-in /.+function Fay$$div$36$uncurried(x,y){++ return new $(function(){+ return _(x) / _(y);+ });++}++/*******************************************************************************+ * Booleans.+ */++// Are two values equal?+function Fay$$equal(lit1, lit2) {+ // Simple case+ lit1 = _(lit1);+ lit2 = _(lit2);+ if (lit1 === lit2) {+ return true;+ }+ // General case+ if (lit1 instanceof Array) {+ if (lit1.length != lit2.length) return false;+ for (var len = lit1.length, i = 0; i < len; i++) {+ if (!Fay$$equal(lit1[i], lit2[i])) return false;+ }+ return true;+ } else if (lit1 instanceof Fay$$Cons && lit2 instanceof Fay$$Cons) {+ do {+ if (!Fay$$equal(lit1.car,lit2.car))+ return false;+ lit1 = _(lit1.cdr), lit2 = _(lit2.cdr);+ if (lit1 === null || lit2 === null)+ return lit1 === lit2;+ } while (true);+ } else if (typeof lit1 == 'object' && typeof lit2 == 'object' && lit1 && lit2 &&+ lit1.constructor === lit2.constructor) {+ for(var x in lit1) {+ if(!(lit1.hasOwnProperty(x) && lit2.hasOwnProperty(x) &&+ Fay$$equal(lit1[x],lit2[x])))+ return false;+ }+ return true;+ } else {+ return false;+ }+}++// Built-in ==.+function Fay$$eq(x){+ return function(y){+ return new $(function(){+ return Fay$$equal(x,y);+ });+ };+}++function Fay$$eq$36$uncurried(x,y){++ return new $(function(){+ return Fay$$equal(x,y);+ });++}++// Built-in /=.+function Fay$$neq(x){+ return function(y){+ return new $(function(){+ return !(Fay$$equal(x,y));+ });+ };+}++// Built-in /=.+function Fay$$neq$36$uncurried(x,y){++ return new $(function(){+ return !(Fay$$equal(x,y));+ });++}++// Built-in >.+function Fay$$gt(x){+ return function(y){+ return new $(function(){+ return _(x) > _(y);+ });+ };+}++// Built-in >.+function Fay$$gt$36$uncurried(x,y){++ return new $(function(){+ return _(x) > _(y);+ });++}++// Built-in <.+function Fay$$lt(x){+ return function(y){+ return new $(function(){+ return _(x) < _(y);+ });+ };+}+++// Built-in <.+function Fay$$lt$36$uncurried(x,y){++ return new $(function(){+ return _(x) < _(y);+ });++}+++// Built-in >=.+function Fay$$gte(x){+ return function(y){+ return new $(function(){+ return _(x) >= _(y);+ });+ };+}++// Built-in >=.+function Fay$$gte$36$uncurried(x,y){++ return new $(function(){+ return _(x) >= _(y);+ });++}++// Built-in <=.+function Fay$$lte(x){+ return function(y){+ return new $(function(){+ return _(x) <= _(y);+ });+ };+}++// Built-in <=.+function Fay$$lte$36$uncurried(x,y){++ return new $(function(){+ return _(x) <= _(y);+ });++}++// Built-in &&.+function Fay$$and(x){+ return function(y){+ return new $(function(){+ return _(x) && _(y);+ });+ };+}++// Built-in &&.+function Fay$$and$36$uncurried(x,y){++ return new $(function(){+ return _(x) && _(y);+ });+ ;+}++// Built-in ||.+function Fay$$or(x){+ return function(y){+ return new $(function(){+ return _(x) || _(y);+ });+ };+}++// Built-in ||.+function Fay$$or$36$uncurried(x,y){++ return new $(function(){+ return _(x) || _(y);+ });++}++/*******************************************************************************+ * Mutable references.+ */++// Make a new mutable reference.+function Fay$$Ref(x){+ this.value = x;+}++// Write to the ref.+function Fay$$writeRef(ref,x){+ ref.value = x;+}++// Get the value from the ref.+function Fay$$readRef(ref,x){+ return ref.value;+}++/*******************************************************************************+ * Dates.+ */+function Fay$$date(str){+ return window.Date.parse(str);+}++/*******************************************************************************+ * Application code.+ */++var Language$Fay$Stdlib$error = function($p1){return new $(function(){var str = $p1;return (function($tmp1){if (_($tmp1) === 0) {return _(Language$Fay$Stdlib$error)(str);}return _(Language$Fay$Stdlib$error)(str);})(_(Language$Fay$Stdlib$error$39$)(str));});};var Language$Fay$Stdlib$error$39$ = function($p1){return new $(function(){return Fay$$jsToFay(["int"],(function() { throw Fay$$fayToJs(["string"],$p1) })());});};var Language$Fay$Stdlib$$_undefined = new $(function(){return _(Language$Fay$Stdlib$error)(Fay$$list("Prelude.undefined"));});var Language$Fay$Stdlib$show = function($p1){return new $(function(){return Fay$$jsToFay(["string"],JSON.stringify(Fay$$fayToJs(["unknown"],$p1)));});};var $_Language$Fay$Stdlib$Undefined = function(){};var Language$Fay$Stdlib$Undefined = new $(function(){return new $_Language$Fay$Stdlib$Undefined();});var $_Language$Fay$Stdlib$Defined = function(slot1){this.slot1 = slot1;};var Language$Fay$Stdlib$Defined = function(slot1){return new $(function(){return new $_Language$Fay$Stdlib$Defined(slot1);});};var $_Language$Fay$Stdlib$Left = function(slot1){this.slot1 = slot1;};var Language$Fay$Stdlib$Left = function(slot1){return new $(function(){return new $_Language$Fay$Stdlib$Left(slot1);});};var $_Language$Fay$Stdlib$Right = function(slot1){this.slot1 = slot1;};var Language$Fay$Stdlib$Right = function(slot1){return new $(function(){return new $_Language$Fay$Stdlib$Right(slot1);});};var Language$Fay$Stdlib$either = function($p1){return function($p2){return function($p3){return new $(function(){if (_($p3) instanceof $_Language$Fay$Stdlib$Left) {var a = _($p3).slot1;var f = $p1;return _(f)(a);}if (_($p3) instanceof $_Language$Fay$Stdlib$Right) {var b = _($p3).slot1;var g = $p2;return _(g)(b);}throw ["unhandled case in either",[$p1,$p2,$p3]];});};};};var Language$Fay$Stdlib$fromInteger = function($p1){return new $(function(){var x = $p1;return x;});};var Language$Fay$Stdlib$fromRational = function($p1){return new $(function(){var x = $p1;return x;});};var Language$Fay$Stdlib$negate = function($p1){return new $(function(){var x = $p1;return (-(_(x)));});};var Language$Fay$Stdlib$abs = function($p1){return new $(function(){var x = $p1;return _(_(Fay$$lt)(_(x))(0)) ? _(Language$Fay$Stdlib$negate)(x) : x;});};var Language$Fay$Stdlib$signum = function($p1){return new $(function(){var x = $p1;return _(_(Fay$$gt)(_(x))(0)) ? 1 : _(_(_(Fay$$eq)(x))(0)) ? 0 : (-(1));});};var Language$Fay$Stdlib$pi = new $(function(){return Fay$$jsToFay(["double"],Math.PI);});var Language$Fay$Stdlib$exp = function($p1){return new $(function(){return Fay$$jsToFay(["double"],Math.exp(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$sqrt = function($p1){return new $(function(){return Fay$$jsToFay(["double"],Math.sqrt(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$log = function($p1){return new $(function(){return Fay$$jsToFay(["double"],Math.log(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$$42$$42$ = new $(function(){return Language$Fay$Stdlib$unsafePow;});var Language$Fay$Stdlib$$94$$94$ = new $(function(){return Language$Fay$Stdlib$unsafePow;});var Language$Fay$Stdlib$unsafePow = function($p1){return function($p2){return new $(function(){return Fay$$jsToFay(["unknown"],Math.pow(Fay$$fayToJs(["unknown"],$p1),Fay$$fayToJs(["unknown"],$p2)));});};};var Language$Fay$Stdlib$$94$ = function($p1){return function($p2){return new $(function(){var b = $p2;var a = $p1;if (_(_(Fay$$lt)(_(b))(0))) {return _(Language$Fay$Stdlib$error)(Fay$$list("(^): negative exponent"));} else {if (_(_(_(Fay$$eq)(b))(0))) {return 1;} else {if (_(_(Language$Fay$Stdlib$even)(b))) {return (function(){var x = new $(function(){return _(_(Language$Fay$Stdlib$$94$)(a))(_(_(Language$Fay$Stdlib$quot)(b))(2));});return _(Fay$$mult)(_(x))(_(x));})();}}}var b = $p2;var a = $p1;return _(Fay$$mult)(_(a))(_(_(_(Language$Fay$Stdlib$$94$)(a))(_(Fay$$sub)(_(b))(1))));});};};var Language$Fay$Stdlib$logBase = function($p1){return function($p2){return new $(function(){var x = $p2;var b = $p1;return _(Fay$$div)(_(_(Language$Fay$Stdlib$log)(x)))(_(_(Language$Fay$Stdlib$log)(b)));});};};var Language$Fay$Stdlib$sin = function($p1){return new $(function(){return Fay$$jsToFay(["double"],Math.sin(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$tan = function($p1){return new $(function(){return Fay$$jsToFay(["double"],Math.tan(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$cos = function($p1){return new $(function(){return Fay$$jsToFay(["double"],Math.cos(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$asin = function($p1){return new $(function(){return Fay$$jsToFay(["double"],Math.asin(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$atan = function($p1){return new $(function(){return Fay$$jsToFay(["double"],Math.atan(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$acos = function($p1){return new $(function(){return Fay$$jsToFay(["double"],Math.acos(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$sinh = function($p1){return new $(function(){var x = $p1;return _(Fay$$div)(_(_(Fay$$sub)(_(_(Language$Fay$Stdlib$exp)(x)))(_(_(Language$Fay$Stdlib$exp)((-(_(x))))))))(2);});};var Language$Fay$Stdlib$tanh = function($p1){return new $(function(){var x = $p1;return (function(){var a = new $(function(){return _(Language$Fay$Stdlib$exp)(x);});var b = new $(function(){return _(Language$Fay$Stdlib$exp)((-(_(x))));});return _(Fay$$div)(_(_(Fay$$sub)(_(a))(_(b))))(_(_(Fay$$add)(_(a))(_(b))));})();});};var Language$Fay$Stdlib$cosh = function($p1){return new $(function(){var x = $p1;return _(Fay$$div)(_(_(Fay$$add)(_(_(Language$Fay$Stdlib$exp)(x)))(_(_(Language$Fay$Stdlib$exp)((-(_(x))))))))(2);});};var Language$Fay$Stdlib$asinh = function($p1){return new $(function(){var x = $p1;return _(Language$Fay$Stdlib$log)(_(Fay$$add)(_(x))(_(_(Language$Fay$Stdlib$sqrt)(_(Fay$$add)(_(_(_(Language$Fay$Stdlib$$42$$42$)(x))(2)))(1)))));});};var Language$Fay$Stdlib$atanh = function($p1){return new $(function(){var x = $p1;return _(Fay$$div)(_(_(Language$Fay$Stdlib$log)(_(Fay$$div)(_(_(Fay$$add)(1)(_(x))))(_(_(Fay$$sub)(1)(_(x)))))))(2);});};var Language$Fay$Stdlib$acosh = function($p1){return new $(function(){var x = $p1;return _(Language$Fay$Stdlib$log)(_(Fay$$add)(_(x))(_(_(Language$Fay$Stdlib$sqrt)(_(Fay$$sub)(_(_(_(Language$Fay$Stdlib$$42$$42$)(x))(2)))(1)))));});};var Language$Fay$Stdlib$properFraction = function($p1){return new $(function(){var x = $p1;return (function(){var a = new $(function(){return _(Language$Fay$Stdlib$truncate)(x);});return Fay$$list([a,_(Fay$$sub)(_(x))(_(_(Language$Fay$Stdlib$fromIntegral)(a)))]);})();});};var Language$Fay$Stdlib$truncate = function($p1){return new $(function(){var x = $p1;return _(_(Fay$$lt)(_(x))(0)) ? _(Language$Fay$Stdlib$ceiling)(x) : _(Language$Fay$Stdlib$floor)(x);});};var Language$Fay$Stdlib$round = function($p1){return new $(function(){return Fay$$jsToFay(["int"],Math.round(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$ceiling = function($p1){return new $(function(){return Fay$$jsToFay(["int"],Math.ceil(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$floor = function($p1){return new $(function(){return Fay$$jsToFay(["int"],Math.floor(Fay$$fayToJs(["double"],$p1)));});};var Language$Fay$Stdlib$subtract = new $(function(){return _(Language$Fay$Stdlib$flip)(Fay$$sub);});var Language$Fay$Stdlib$even = function($p1){return new $(function(){var x = $p1;return _(_(Fay$$eq)(_(_(Language$Fay$Stdlib$rem)(x))(2)))(0);});};var Language$Fay$Stdlib$odd = function($p1){return new $(function(){var x = $p1;return _(Language$Fay$Stdlib$not)(_(Language$Fay$Stdlib$even)(x));});};var Language$Fay$Stdlib$gcd = function($p1){return function($p2){return new $(function(){var b = $p2;var a = $p1;return (function(){var go = function($p1){return function($p2){return new $(function(){if (_($p2) === 0) {var x = $p1;return x;}var y = $p2;var x = $p1;return _(_(go)(y))(_(_(Language$Fay$Stdlib$rem)(x))(y));});};};return _(_(go)(_(Language$Fay$Stdlib$abs)(a)))(_(Language$Fay$Stdlib$abs)(b));})();});};};var Language$Fay$Stdlib$lcm = function($p1){return function($p2){return new $(function(){if (_($p2) === 0) {return 0;}if (_($p1) === 0) {return 0;}var b = $p2;var a = $p1;return _(Language$Fay$Stdlib$abs)(_(Fay$$mult)(_(_(_(Language$Fay$Stdlib$quot)(a))(_(_(Language$Fay$Stdlib$gcd)(a))(b))))(_(b)));});};};var Language$Fay$Stdlib$curry = function($p1){return function($p2){return function($p3){return new $(function(){var y = $p3;var x = $p2;var f = $p1;return _(f)(Fay$$list([x,y]));});};};};var Language$Fay$Stdlib$uncurry = function($p1){return function($p2){return new $(function(){var p = $p2;var f = $p1;return (function($tmp1){if (Fay$$listLen(_($tmp1),2)) {var x = Fay$$index(0)(_($tmp1));var y = Fay$$index(1)(_($tmp1));return _(_(f)(x))(y);}return (function(){ throw (["unhandled case",$tmp1]); })();})(p);});};};var Language$Fay$Stdlib$snd = function($p1){return new $(function(){if (Fay$$listLen(_($p1),2)) {var x = Fay$$index(1)(_($p1));return x;}throw ["unhandled case in snd",[$p1]];});};var Language$Fay$Stdlib$fst = function($p1){return new $(function(){if (Fay$$listLen(_($p1),2)) {var x = Fay$$index(0)(_($p1));return x;}throw ["unhandled case in fst",[$p1]];});};var Language$Fay$Stdlib$find = function($p1){return function($p2){return new $(function(){var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var p = $p1;return _(_(p)(x)) ? _(Language$Fay$Stdlib$Just)(x) : _(_(Language$Fay$Stdlib$find)(p))(xs);}if (_($p2) === null) {return Language$Fay$Stdlib$Nothing;}throw ["unhandled case in find",[$p1,$p2]];});};};var Language$Fay$Stdlib$filter = function($p1){return function($p2){return new $(function(){var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var p = $p1;return _(_(p)(x)) ? _(_(Fay$$cons)(x))(_(_(Language$Fay$Stdlib$filter)(p))(xs)) : _(_(Language$Fay$Stdlib$filter)(p))(xs);}if (_($p2) === null) {return null;}throw ["unhandled case in filter",[$p1,$p2]];});};};var Language$Fay$Stdlib$not = function($p1){return new $(function(){var p = $p1;return _(p) ? false : true;});};var Language$Fay$Stdlib$$_null = function($p1){return new $(function(){if (_($p1) === null) {return true;}return false;});};var Language$Fay$Stdlib$map = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {return null;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var f = $p1;return _(_(Fay$$cons)(_(f)(x)))(_(_(Language$Fay$Stdlib$map)(f))(xs));}throw ["unhandled case in map",[$p1,$p2]];});};};var Language$Fay$Stdlib$nub = function($p1){return new $(function(){var ls = $p1;return _(_(Language$Fay$Stdlib$nub$39$)(ls))(null);});};var Language$Fay$Stdlib$nub$39$ = function($p1){return function($p2){return new $(function(){if (_($p1) === null) {return null;}var ls = $p2;var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;return _(_(_(Language$Fay$Stdlib$elem)(x))(ls)) ? _(_(Language$Fay$Stdlib$nub$39$)(xs))(ls) : _(_(Fay$$cons)(x))(_(_(Language$Fay$Stdlib$nub$39$)(xs))(_(_(Fay$$cons)(x))(ls)));}throw ["unhandled case in nub'",[$p1,$p2]];});};};var Language$Fay$Stdlib$elem = function($p1){return function($p2){return new $(function(){var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var y = $tmp1.car;var ys = $tmp1.cdr;var x = $p1;return _(Fay$$or)(_(_(_(Fay$$eq)(x))(y)))(_(_(_(Language$Fay$Stdlib$elem)(x))(ys)));}if (_($p2) === null) {return false;}throw ["unhandled case in elem",[$p1,$p2]];});};};var Language$Fay$Stdlib$notElem = function($p1){return function($p2){return new $(function(){var ys = $p2;var x = $p1;return _(Language$Fay$Stdlib$not)(_(_(Language$Fay$Stdlib$elem)(x))(ys));});};};var $_Language$Fay$Stdlib$GT = function(){};var Language$Fay$Stdlib$GT = new $(function(){return new $_Language$Fay$Stdlib$GT();});var $_Language$Fay$Stdlib$LT = function(){};var Language$Fay$Stdlib$LT = new $(function(){return new $_Language$Fay$Stdlib$LT();});var $_Language$Fay$Stdlib$EQ = function(){};var Language$Fay$Stdlib$EQ = new $(function(){return new $_Language$Fay$Stdlib$EQ();});var Language$Fay$Stdlib$sort = new $(function(){return _(Language$Fay$Stdlib$sortBy)(Language$Fay$Stdlib$compare);});var Language$Fay$Stdlib$compare = function($p1){return function($p2){return new $(function(){var y = $p2;var x = $p1;return _(_(Fay$$gt)(_(x))(_(y))) ? Language$Fay$Stdlib$GT : _(_(Fay$$lt)(_(x))(_(y))) ? Language$Fay$Stdlib$LT : Language$Fay$Stdlib$EQ;});};};var Language$Fay$Stdlib$sortBy = function($p1){return new $(function(){var cmp = $p1;return _(_(Language$Fay$Stdlib$foldr)(_(Language$Fay$Stdlib$insertBy)(cmp)))(null);});};var Language$Fay$Stdlib$insertBy = function($p1){return function($p2){return function($p3){return new $(function(){if (_($p3) === null) {var x = $p2;return Fay$$list([x]);}var ys = $p3;var x = $p2;var cmp = $p1;return (function($tmp1){if (_($tmp1) === null) {return Fay$$list([x]);}var $tmp2 = _($tmp1);if ($tmp2 instanceof Fay$$Cons) {var y = $tmp2.car;var ys$39$ = $tmp2.cdr;return (function($tmp2){if (_($tmp2) instanceof $_Language$Fay$Stdlib$GT) {return _(_(Fay$$cons)(y))(_(_(_(Language$Fay$Stdlib$insertBy)(cmp))(x))(ys$39$));}return _(_(Fay$$cons)(x))(ys);})(_(_(cmp)(x))(y));}return (function(){ throw (["unhandled case",$tmp1]); })();})(ys);});};};};var Language$Fay$Stdlib$when = function($p1){return function($p2){return new $(function(){var m = $p2;var p = $p1;return _(p) ? _(_(Fay$$then)(m))(_(Fay$$$_return)(Fay$$unit)) : _(Fay$$$_return)(Fay$$unit);});};};var Language$Fay$Stdlib$succ = function($p1){return new $(function(){var x = $p1;return _(Fay$$add)(_(x))(1);});};var Language$Fay$Stdlib$pred = function($p1){return new $(function(){var x = $p1;return _(Fay$$sub)(_(x))(1);});};var Language$Fay$Stdlib$enumFrom = function($p1){return new $(function(){var i = $p1;return _(_(Fay$$cons)(i))(_(Language$Fay$Stdlib$enumFrom)(_(Fay$$add)(_(i))(1)));});};var Language$Fay$Stdlib$enumFromTo = function($p1){return function($p2){return new $(function(){var n = $p2;var i = $p1;return _(_(Fay$$gt)(_(i))(_(n))) ? null : _(_(Fay$$cons)(i))(_(_(Language$Fay$Stdlib$enumFromTo)(_(Fay$$add)(_(i))(1)))(n));});};};var Language$Fay$Stdlib$enumFromBy = function($p1){return function($p2){return new $(function(){var by = $p2;var fr = $p1;return _(_(Fay$$cons)(fr))(_(_(Language$Fay$Stdlib$enumFromBy)(_(Fay$$add)(_(fr))(_(by))))(by));});};};var Language$Fay$Stdlib$enumFromThen = function($p1){return function($p2){return new $(function(){var th = $p2;var fr = $p1;return _(_(Language$Fay$Stdlib$enumFromBy)(fr))(_(Fay$$sub)(_(th))(_(fr)));});};};var Language$Fay$Stdlib$enumFromByTo = function($p1){return function($p2){return function($p3){return new $(function(){var to = $p3;var by = $p2;var fr = $p1;return (function(){var neg = function($p1){return new $(function(){var x = $p1;return _(_(Fay$$lt)(_(x))(_(to))) ? null : _(_(Fay$$cons)(x))(_(neg)(_(Fay$$add)(_(x))(_(by))));});};var pos = function($p1){return new $(function(){var x = $p1;return _(_(Fay$$gt)(_(x))(_(to))) ? null : _(_(Fay$$cons)(x))(_(pos)(_(Fay$$add)(_(x))(_(by))));});};return _(_(Fay$$lt)(_(by))(0)) ? _(neg)(fr) : _(pos)(fr);})();});};};};var Language$Fay$Stdlib$enumFromThenTo = function($p1){return function($p2){return function($p3){return new $(function(){var to = $p3;var th = $p2;var fr = $p1;return _(_(_(Language$Fay$Stdlib$enumFromByTo)(fr))(_(Fay$$sub)(_(th))(_(fr))))(to);});};};};var Language$Fay$Stdlib$zipWith = function($p1){return function($p2){return function($p3){return new $(function(){var $tmp1 = _($p3);if ($tmp1 instanceof Fay$$Cons) {var b = $tmp1.car;var bs = $tmp1.cdr;var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var a = $tmp1.car;var as = $tmp1.cdr;var f = $p1;return _(_(Fay$$cons)(_(_(f)(a))(b)))(_(_(_(Language$Fay$Stdlib$zipWith)(f))(as))(bs));}}return null;});};};};var Language$Fay$Stdlib$zipWith3 = function($p1){return function($p2){return function($p3){return function($p4){return new $(function(){var $tmp1 = _($p4);if ($tmp1 instanceof Fay$$Cons) {var c = $tmp1.car;var cs = $tmp1.cdr;var $tmp1 = _($p3);if ($tmp1 instanceof Fay$$Cons) {var b = $tmp1.car;var bs = $tmp1.cdr;var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var a = $tmp1.car;var as = $tmp1.cdr;var f = $p1;return _(_(Fay$$cons)(_(_(_(f)(a))(b))(c)))(_(_(_(_(Language$Fay$Stdlib$zipWith3)(f))(as))(bs))(cs));}}}return null;});};};};};var Language$Fay$Stdlib$zip = function($p1){return function($p2){return new $(function(){var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var b = $tmp1.car;var bs = $tmp1.cdr;var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var a = $tmp1.car;var as = $tmp1.cdr;return _(_(Fay$$cons)(Fay$$list([a,b])))(_(_(Language$Fay$Stdlib$zip)(as))(bs));}}return null;});};};var Language$Fay$Stdlib$zip3 = function($p1){return function($p2){return function($p3){return new $(function(){var $tmp1 = _($p3);if ($tmp1 instanceof Fay$$Cons) {var c = $tmp1.car;var cs = $tmp1.cdr;var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var b = $tmp1.car;var bs = $tmp1.cdr;var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var a = $tmp1.car;var as = $tmp1.cdr;return _(_(Fay$$cons)(Fay$$list([a,b,c])))(_(_(_(Language$Fay$Stdlib$zip3)(as))(bs))(cs));}}}return null;});};};};var Language$Fay$Stdlib$unzip = function($p1){return new $(function(){var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {if (Fay$$listLen(_($tmp1.car),2)) {var x = Fay$$index(0)(_($tmp1.car));var y = Fay$$index(1)(_($tmp1.car));var ps = $tmp1.cdr;return (function($tmp1){if (Fay$$listLen(_($tmp1),2)) {var xs = Fay$$index(0)(_($tmp1));var ys = Fay$$index(1)(_($tmp1));return Fay$$list([_(_(Fay$$cons)(x))(xs),_(_(Fay$$cons)(y))(ys)]);}return (function(){ throw (["unhandled case",$tmp1]); })();})(_(Language$Fay$Stdlib$unzip)(ps));}}if (_($p1) === null) {return Fay$$list([null,null]);}throw ["unhandled case in unzip",[$p1]];});};var Language$Fay$Stdlib$unzip3 = function($p1){return new $(function(){var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {if (Fay$$listLen(_($tmp1.car),3)) {var x = Fay$$index(0)(_($tmp1.car));var y = Fay$$index(1)(_($tmp1.car));var z = Fay$$index(2)(_($tmp1.car));var ps = $tmp1.cdr;return (function($tmp1){if (Fay$$listLen(_($tmp1),3)) {var xs = Fay$$index(0)(_($tmp1));var ys = Fay$$index(1)(_($tmp1));var zs = Fay$$index(2)(_($tmp1));return Fay$$list([_(_(Fay$$cons)(x))(xs),_(_(Fay$$cons)(y))(ys),_(_(Fay$$cons)(z))(zs)]);}return (function(){ throw (["unhandled case",$tmp1]); })();})(_(Language$Fay$Stdlib$unzip3)(ps));}}if (_($p1) === null) {return Fay$$list([null,null,null]);}throw ["unhandled case in unzip3",[$p1]];});};var Language$Fay$Stdlib$lines = function($p1){return new $(function(){if (_($p1) === null) {return null;}var s = $p1;return (function(){var isLineBreak = function($p1){return new $(function(){var c = $p1;return _(Fay$$or)(_(_(_(Fay$$eq)(c))("\r")))(_(_(_(Fay$$eq)(c))("\n")));});};return (function($tmp1){if (Fay$$listLen(_($tmp1),2)) {var a = Fay$$index(0)(_($tmp1));if (_(Fay$$index(1)(_($tmp1))) === null) {return Fay$$list([a]);}var a = Fay$$index(0)(_($tmp1));var $tmp2 = _(Fay$$index(1)(_($tmp1)));if ($tmp2 instanceof Fay$$Cons) {var cs = $tmp2.cdr;return _(_(Fay$$cons)(a))(_(Language$Fay$Stdlib$lines)(cs));}}return (function(){ throw (["unhandled case",$tmp1]); })();})(_(_(Language$Fay$Stdlib$$_break)(isLineBreak))(s));})();});};var Language$Fay$Stdlib$unlines = new $(function(){return _(Language$Fay$Stdlib$intercalate)(Fay$$list("\n"));});var Language$Fay$Stdlib$words = function($p1){return new $(function(){var str = $p1;return (function(){var words$39$ = function($p1){return new $(function(){if (_($p1) === null) {return null;}var s = $p1;return (function($tmp1){if (Fay$$listLen(_($tmp1),2)) {var a = Fay$$index(0)(_($tmp1));var b = Fay$$index(1)(_($tmp1));return _(_(Fay$$cons)(a))(_(Language$Fay$Stdlib$words)(b));}return (function(){ throw (["unhandled case",$tmp1]); })();})(_(_(Language$Fay$Stdlib$$_break)(isSpace))(s));});};var isSpace = function($p1){return new $(function(){var c = $p1;return _(_(Language$Fay$Stdlib$elem)(c))(Fay$$list(" \t\r\n\u000c\u000b"));});};return _(words$39$)(_(_(Language$Fay$Stdlib$dropWhile)(isSpace))(str));})();});};var Language$Fay$Stdlib$unwords = new $(function(){return _(Language$Fay$Stdlib$intercalate)(Fay$$list(" "));});var Language$Fay$Stdlib$flip = function($p1){return function($p2){return function($p3){return new $(function(){var y = $p3;var x = $p2;var f = $p1;return _(_(f)(y))(x);});};};};var Language$Fay$Stdlib$maybe = function($p1){return function($p2){return function($p3){return new $(function(){if (_($p3) instanceof $_Language$Fay$Stdlib$Nothing) {var m = $p1;return m;}if (_($p3) instanceof $_Language$Fay$Stdlib$Just) {var x = _($p3).slot1;var f = $p2;return _(f)(x);}throw ["unhandled case in maybe",[$p1,$p2,$p3]];});};};};var Language$Fay$Stdlib$$46$ = function($p1){return function($p2){return function($p3){return new $(function(){var x = $p3;var g = $p2;var f = $p1;return _(f)(_(g)(x));});};};};var Language$Fay$Stdlib$$43$$43$ = function($p1){return function($p2){return new $(function(){var y = $p2;var x = $p1;return _(_(Language$Fay$Stdlib$conc)(x))(y);});};};var Language$Fay$Stdlib$$36$ = function($p1){return function($p2){return new $(function(){var x = $p2;var f = $p1;return _(f)(x);});};};var Language$Fay$Stdlib$conc = function($p1){return function($p2){return new $(function(){var ys = $p2;var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;return _(_(Fay$$cons)(x))(_(_(Language$Fay$Stdlib$conc)(xs))(ys));}var ys = $p2;if (_($p1) === null) {return ys;}throw ["unhandled case in conc",[$p1,$p2]];});};};var Language$Fay$Stdlib$concat = new $(function(){return _(_(Language$Fay$Stdlib$foldr)(Language$Fay$Stdlib$conc))(null);});var Language$Fay$Stdlib$concatMap = function($p1){return new $(function(){var f = $p1;return _(_(Language$Fay$Stdlib$foldr)(_(_(Language$Fay$Stdlib$$46$)(Language$Fay$Stdlib$$43$$43$))(f)))(null);});};var Language$Fay$Stdlib$foldr = function($p1){return function($p2){return function($p3){return new $(function(){if (_($p3) === null) {var z = $p2;return z;}var $tmp1 = _($p3);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var z = $p2;var f = $p1;return _(_(f)(x))(_(_(_(Language$Fay$Stdlib$foldr)(f))(z))(xs));}throw ["unhandled case in foldr",[$p1,$p2,$p3]];});};};};var Language$Fay$Stdlib$foldr1 = function($p1){return function($p2){return new $(function(){if (Fay$$listLen(_($p2),1)) {var x = Fay$$index(0)(_($p2));return x;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var f = $p1;return _(_(f)(x))(_(_(Language$Fay$Stdlib$foldr1)(f))(xs));}if (_($p2) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("foldr1: empty list"));}throw ["unhandled case in foldr1",[$p1,$p2]];});};};var Language$Fay$Stdlib$foldl = function($p1){return function($p2){return function($p3){return new $(function(){if (_($p3) === null) {var z = $p2;return z;}var $tmp1 = _($p3);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var z = $p2;var f = $p1;return _(_(_(Language$Fay$Stdlib$foldl)(f))(_(_(f)(z))(x)))(xs);}throw ["unhandled case in foldl",[$p1,$p2,$p3]];});};};};var Language$Fay$Stdlib$foldl1 = function($p1){return function($p2){return new $(function(){var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var f = $p1;return _(_(_(Language$Fay$Stdlib$foldl)(f))(x))(xs);}if (_($p2) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("foldl1: empty list"));}throw ["unhandled case in foldl1",[$p1,$p2]];});};};var Language$Fay$Stdlib$and = function($p1){return new $(function(){if (_($p1) === null) {return true;}var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;return _(Fay$$and)(_(x))(_(_(Language$Fay$Stdlib$and)(xs)));}throw ["unhandled case in and",[$p1]];});};var Language$Fay$Stdlib$or = function($p1){return new $(function(){if (_($p1) === null) {return false;}var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;return _(Fay$$or)(_(x))(_(_(Language$Fay$Stdlib$or)(xs)));}throw ["unhandled case in or",[$p1]];});};var Language$Fay$Stdlib$any = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {return false;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var p = $p1;return _(Fay$$or)(_(_(p)(x)))(_(_(_(Language$Fay$Stdlib$any)(p))(xs)));}throw ["unhandled case in any",[$p1,$p2]];});};};var Language$Fay$Stdlib$all = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {return true;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var p = $p1;return _(Fay$$and)(_(_(p)(x)))(_(_(_(Language$Fay$Stdlib$all)(p))(xs)));}throw ["unhandled case in all",[$p1,$p2]];});};};var Language$Fay$Stdlib$maximum = function($p1){return new $(function(){if (_($p1) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("maximum: empty list"));}var xs = $p1;return _(_(Language$Fay$Stdlib$foldl1)(Language$Fay$Stdlib$max))(xs);});};var Language$Fay$Stdlib$minimum = function($p1){return new $(function(){if (_($p1) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("minimum: empty list"));}var xs = $p1;return _(_(Language$Fay$Stdlib$foldl1)(Language$Fay$Stdlib$min))(xs);});};var Language$Fay$Stdlib$product = function($p1){return new $(function(){if (_($p1) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("product: empty list"));}var xs = $p1;return _(_(_(Language$Fay$Stdlib$foldl)(Fay$$mult))(1))(xs);});};var Language$Fay$Stdlib$sum = function($p1){return new $(function(){if (_($p1) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("sum: empty list"));}var xs = $p1;return _(_(_(Language$Fay$Stdlib$foldl)(Fay$$add))(0))(xs);});};var Language$Fay$Stdlib$scanl = function($p1){return function($p2){return function($p3){return new $(function(){var l = $p3;var z = $p2;var f = $p1;return _(_(Fay$$cons)(z))((function($tmp1){if (_($tmp1) === null) {return null;}var $tmp2 = _($tmp1);if ($tmp2 instanceof Fay$$Cons) {var x = $tmp2.car;var xs = $tmp2.cdr;return _(_(_(Language$Fay$Stdlib$scanl)(f))(_(_(f)(z))(x)))(xs);}return (function(){ throw (["unhandled case",$tmp1]); })();})(l));});};};};var Language$Fay$Stdlib$scanl1 = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {return null;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var f = $p1;return _(_(_(Language$Fay$Stdlib$scanl)(f))(x))(xs);}throw ["unhandled case in scanl1",[$p1,$p2]];});};};var Language$Fay$Stdlib$scanr = function($p1){return function($p2){return function($p3){return new $(function(){if (_($p3) === null) {var z = $p2;return Fay$$list([z]);}var $tmp1 = _($p3);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var z = $p2;var f = $p1;return (function($tmp1){var $tmp2 = _($tmp1);if ($tmp2 instanceof Fay$$Cons) {var h = $tmp2.car;var t = $tmp2.cdr;return _(_(Fay$$cons)(_(_(f)(x))(h)))(_(_(Fay$$cons)(h))(t));}return Language$Fay$Stdlib$$_undefined;})(_(_(_(Language$Fay$Stdlib$scanr)(f))(z))(xs));}throw ["unhandled case in scanr",[$p1,$p2,$p3]];});};};};var Language$Fay$Stdlib$scanr1 = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {return null;}if (Fay$$listLen(_($p2),1)) {var x = Fay$$index(0)(_($p2));return Fay$$list([x]);}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var f = $p1;return (function($tmp1){var $tmp2 = _($tmp1);if ($tmp2 instanceof Fay$$Cons) {var h = $tmp2.car;var t = $tmp2.cdr;return _(_(Fay$$cons)(_(_(f)(x))(h)))(_(_(Fay$$cons)(h))(t));}return Language$Fay$Stdlib$$_undefined;})(_(_(Language$Fay$Stdlib$scanr1)(f))(xs));}throw ["unhandled case in scanr1",[$p1,$p2]];});};};var Language$Fay$Stdlib$lookup = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {var _key = $p1;return Language$Fay$Stdlib$Nothing;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {if (Fay$$listLen(_($tmp1.car),2)) {var x = Fay$$index(0)(_($tmp1.car));var y = Fay$$index(1)(_($tmp1.car));var xys = $tmp1.cdr;var key = $p1;return _(_(_(Fay$$eq)(key))(x)) ? _(Language$Fay$Stdlib$Just)(y) : _(_(Language$Fay$Stdlib$lookup)(key))(xys);}}throw ["unhandled case in lookup",[$p1,$p2]];});};};var Language$Fay$Stdlib$intersperse = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {return null;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var sep = $p1;return _(_(Fay$$cons)(x))(_(_(Language$Fay$Stdlib$prependToAll)(sep))(xs));}throw ["unhandled case in intersperse",[$p1,$p2]];});};};var Language$Fay$Stdlib$prependToAll = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {return null;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var sep = $p1;return _(_(Fay$$cons)(sep))(_(_(Fay$$cons)(x))(_(_(Language$Fay$Stdlib$prependToAll)(sep))(xs)));}throw ["unhandled case in prependToAll",[$p1,$p2]];});};};var Language$Fay$Stdlib$intercalate = function($p1){return function($p2){return new $(function(){var xss = $p2;var xs = $p1;return _(Language$Fay$Stdlib$concat)(_(_(Language$Fay$Stdlib$intersperse)(xs))(xss));});};};var Language$Fay$Stdlib$forM_ = function($p1){return function($p2){return new $(function(){var m = $p2;var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;return _(_(Fay$$then)(_(m)(x)))(_(_(Language$Fay$Stdlib$forM_)(xs))(m));}if (_($p1) === null) {return _(Fay$$$_return)(Fay$$unit);}throw ["unhandled case in forM_",[$p1,$p2]];});};};var Language$Fay$Stdlib$mapM_ = function($p1){return function($p2){return new $(function(){var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var m = $p1;return _(_(Fay$$then)(_(m)(x)))(_(_(Language$Fay$Stdlib$mapM_)(m))(xs));}if (_($p2) === null) {return _(Fay$$$_return)(Fay$$unit);}throw ["unhandled case in mapM_",[$p1,$p2]];});};};var Language$Fay$Stdlib$$_const = function($p1){return function($p2){return new $(function(){var a = $p1;return a;});};};var Language$Fay$Stdlib$length = function($p1){return new $(function(){var xs = $p1;return _(_(Language$Fay$Stdlib$length$39$)(0))(xs);});};var Language$Fay$Stdlib$length$39$ = function($p1){return function($p2){return new $(function(){var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var xs = $tmp1.cdr;var acc = $p1;return _(_(Language$Fay$Stdlib$length$39$)(_(Fay$$add)(_(acc))(1)))(xs);}var acc = $p1;return acc;});};};var Language$Fay$Stdlib$rem = function($p1){return function($p2){return new $(function(){var y = $p2;var x = $p1;return _(_(_(Fay$$eq)(y))(0)) ? _(Language$Fay$Stdlib$error)(Fay$$list("Division by zero")) : _(_(Language$Fay$Stdlib$rem$39$)(x))(y);});};};var Language$Fay$Stdlib$rem$39$ = function($p1){return function($p2){return new $(function(){return Fay$$jsToFay(["int"],Fay$$fayToJs(["int"],$p1) % Fay$$fayToJs(["int"],$p2));});};};var Language$Fay$Stdlib$quot = function($p1){return function($p2){return new $(function(){var y = $p2;var x = $p1;return _(_(_(Fay$$eq)(y))(0)) ? _(Language$Fay$Stdlib$error)(Fay$$list("Division by zero")) : _(_(Language$Fay$Stdlib$quot$39$)(x))(y);});};};var Language$Fay$Stdlib$quot$39$ = function($p1){return function($p2){return new $(function(){return Fay$$jsToFay(["int"],~~(Fay$$fayToJs(["int"],$p1)/Fay$$fayToJs(["int"],$p2)));});};};var Language$Fay$Stdlib$quotRem = function($p1){return function($p2){return new $(function(){var y = $p2;var x = $p1;return Fay$$list([_(_(Language$Fay$Stdlib$quot)(x))(y),_(_(Language$Fay$Stdlib$rem)(x))(y)]);});};};var Language$Fay$Stdlib$div = function($p1){return function($p2){return new $(function(){var y = $p2;var x = $p1;if (_(_(Fay$$and)(_(_(Fay$$gt)(_(x))(0)))(_(_(Fay$$lt)(_(y))(0))))) {return _(Fay$$sub)(_(_(_(Language$Fay$Stdlib$quot)(_(Fay$$sub)(_(x))(1)))(y)))(1);} else {if (_(_(Fay$$and)(_(_(Fay$$lt)(_(x))(0)))(_(_(Fay$$gt)(_(y))(0))))) {return _(Fay$$sub)(_(_(_(Language$Fay$Stdlib$quot)(_(Fay$$add)(_(x))(1)))(y)))(1);}}var y = $p2;var x = $p1;return _(_(Language$Fay$Stdlib$quot)(x))(y);});};};var Language$Fay$Stdlib$mod = function($p1){return function($p2){return new $(function(){var y = $p2;var x = $p1;if (_(_(Fay$$and)(_(_(Fay$$gt)(_(x))(0)))(_(_(Fay$$lt)(_(y))(0))))) {return _(Fay$$add)(_(_(Fay$$add)(_(_(_(Language$Fay$Stdlib$rem)(_(Fay$$sub)(_(x))(1)))(y)))(_(y))))(1);} else {if (_(_(Fay$$and)(_(_(Fay$$lt)(_(x))(0)))(_(_(Fay$$gt)(_(y))(0))))) {return _(Fay$$sub)(_(_(Fay$$add)(_(_(_(Language$Fay$Stdlib$rem)(_(Fay$$add)(_(x))(1)))(y)))(_(y))))(1);}}var y = $p2;var x = $p1;return _(_(Language$Fay$Stdlib$rem)(x))(y);});};};var Language$Fay$Stdlib$divMod = function($p1){return function($p2){return new $(function(){var y = $p2;var x = $p1;if (_(_(Fay$$and)(_(_(Fay$$gt)(_(x))(0)))(_(_(Fay$$lt)(_(y))(0))))) {return (function($tmp1){if (Fay$$listLen(_($tmp1),2)) {var q = Fay$$index(0)(_($tmp1));var r = Fay$$index(1)(_($tmp1));return Fay$$list([_(Fay$$sub)(_(q))(1),_(Fay$$add)(_(_(Fay$$add)(_(r))(_(y))))(1)]);}return (function(){ throw (["unhandled case",$tmp1]); })();})(_(_(Language$Fay$Stdlib$quotRem)(_(Fay$$sub)(_(x))(1)))(y));} else {if (_(_(Fay$$and)(_(_(Fay$$lt)(_(x))(0)))(_(_(Fay$$gt)(_(y))(1))))) {return (function($tmp1){if (Fay$$listLen(_($tmp1),2)) {var q = Fay$$index(0)(_($tmp1));var r = Fay$$index(1)(_($tmp1));return Fay$$list([_(Fay$$sub)(_(q))(1),_(Fay$$sub)(_(_(Fay$$add)(_(r))(_(y))))(1)]);}return (function(){ throw (["unhandled case",$tmp1]); })();})(_(_(Language$Fay$Stdlib$quotRem)(_(Fay$$add)(_(x))(1)))(y));}}var y = $p2;var x = $p1;return _(_(Language$Fay$Stdlib$quotRem)(x))(y);});};};var Language$Fay$Stdlib$min = function($p1){return function($p2){return new $(function(){return Fay$$jsToFay(["unknown"],Math.min(Fay$$fayToJs(["unknown"],$p1),Fay$$fayToJs(["unknown"],$p2)));});};};var Language$Fay$Stdlib$max = function($p1){return function($p2){return new $(function(){return Fay$$jsToFay(["unknown"],Math.max(Fay$$fayToJs(["unknown"],$p1),Fay$$fayToJs(["unknown"],$p2)));});};};var Language$Fay$Stdlib$recip = function($p1){return new $(function(){var x = $p1;return _(Fay$$div)(1)(_(x));});};var Language$Fay$Stdlib$fromIntegral = function($p1){return new $(function(){return Fay$$jsToFay(["double"],Fay$$fayToJs(["int"],$p1));});};var Language$Fay$Stdlib$otherwise = true;var Language$Fay$Stdlib$reverse = function($p1){return new $(function(){var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;return _(_(Language$Fay$Stdlib$$43$$43$)(_(Language$Fay$Stdlib$reverse)(xs)))(Fay$$list([x]));}if (_($p1) === null) {return null;}throw ["unhandled case in reverse",[$p1]];});};var Language$Fay$Stdlib$$61$$60$$60$ = function($p1){return function($p2){return new $(function(){var x = $p2;var f = $p1;return _(_(Fay$$bind)(x))(f);});};};var Language$Fay$Stdlib$sequence = function($p1){return new $(function(){var ms = $p1;return (function(){var k = function($p1){return function($p2){return new $(function(){var m$39$ = $p2;var m = $p1;return _(_(Fay$$bind)(m))(function($p1){var x = $p1;return _(_(Fay$$bind)(m$39$))(function($p1){var xs = $p1;return _(Fay$$$_return)(_(_(Fay$$cons)(x))(xs));});});});};};return _(_(_(Language$Fay$Stdlib$foldr)(k))(_(Fay$$$_return)(null)))(ms);})();});};var Language$Fay$Stdlib$sequence_ = function($p1){return new $(function(){if (_($p1) === null) {return _(Fay$$$_return)(Fay$$unit);}var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var m = $tmp1.car;var ms = $tmp1.cdr;return _(_(Fay$$then)(m))(_(Language$Fay$Stdlib$sequence_)(ms));}throw ["unhandled case in sequence_",[$p1]];});};var Language$Fay$Stdlib$id = function($p1){return new $(function(){var x = $p1;return x;});};var Language$Fay$Stdlib$asTypeOf = new $(function(){return Language$Fay$Stdlib$$_const;});var Language$Fay$Stdlib$until = function($p1){return function($p2){return function($p3){return new $(function(){var x = $p3;var f = $p2;var p = $p1;return _(_(p)(x)) ? x : _(_(_(Language$Fay$Stdlib$until)(p))(f))(_(f)(x));});};};};var Language$Fay$Stdlib$$36$$33$ = function($p1){return function($p2){return new $(function(){var x = $p2;var f = $p1;return _(_(Fay$$seq)(x))(_(f)(x));});};};var Language$Fay$Stdlib$$33$$33$ = function($p1){return function($p2){return new $(function(){var b = $p2;var a = $p1;return (function(){var go = function($p1){return function($p2){return new $(function(){if (_($p1) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("(!!): index too large"));}if (_($p2) === 0) {var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var h = $tmp1.car;return h;}}var n = $p2;var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var t = $tmp1.cdr;return _(_(go)(t))(_(Fay$$sub)(_(n))(1));}throw ["unhandled case in go",[$p1,$p2]];});};};return _(_(Fay$$lt)(_(b))(0)) ? _(Language$Fay$Stdlib$error)(Fay$$list("(!!): negative index")) : _(_(go)(a))(b);})();});};};var Language$Fay$Stdlib$head = function($p1){return new $(function(){if (_($p1) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("head: empty list"));}var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var h = $tmp1.car;return h;}throw ["unhandled case in head",[$p1]];});};var Language$Fay$Stdlib$tail = function($p1){return new $(function(){if (_($p1) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("tail: empty list"));}var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var t = $tmp1.cdr;return t;}throw ["unhandled case in tail",[$p1]];});};var Language$Fay$Stdlib$init = function($p1){return new $(function(){if (_($p1) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("init: empty list"));}if (Fay$$listLen(_($p1),1)) {var a = Fay$$index(0)(_($p1));return Fay$$list([a]);}var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var h = $tmp1.car;var t = $tmp1.cdr;return _(_(Fay$$cons)(h))(_(Language$Fay$Stdlib$init)(t));}throw ["unhandled case in init",[$p1]];});};var Language$Fay$Stdlib$last = function($p1){return new $(function(){if (_($p1) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("last: empty list"));}if (Fay$$listLen(_($p1),1)) {var a = Fay$$index(0)(_($p1));return a;}var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var t = $tmp1.cdr;return _(Language$Fay$Stdlib$last)(t);}throw ["unhandled case in last",[$p1]];});};var Language$Fay$Stdlib$iterate = function($p1){return function($p2){return new $(function(){var x = $p2;var f = $p1;return _(_(Fay$$cons)(x))(_(_(Language$Fay$Stdlib$iterate)(f))(_(f)(x)));});};};var Language$Fay$Stdlib$repeat = function($p1){return new $(function(){var x = $p1;return _(_(Fay$$cons)(x))(_(Language$Fay$Stdlib$repeat)(x));});};var Language$Fay$Stdlib$replicate = function($p1){return function($p2){return new $(function(){if (_($p1) === 0) {return null;}var x = $p2;var n = $p1;return _(_(Fay$$lt)(_(n))(0)) ? _(Language$Fay$Stdlib$error)(Fay$$list("replicate: negative length")) : _(_(Fay$$cons)(x))(_(_(Language$Fay$Stdlib$replicate)(_(Fay$$sub)(_(n))(1)))(x));});};};var Language$Fay$Stdlib$cycle = function($p1){return new $(function(){if (_($p1) === null) {return _(Language$Fay$Stdlib$error)(Fay$$list("cycle: empty list"));}var xs = $p1;return (function(){var xs$39$ = new $(function(){return _(_(Language$Fay$Stdlib$$43$$43$)(xs))(xs$39$);});return xs$39$;})();});};var Language$Fay$Stdlib$take = function($p1){return function($p2){return new $(function(){if (_($p1) === 0) {return null;}if (_($p2) === null) {return null;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var n = $p1;return _(_(Fay$$lt)(_(n))(0)) ? _(Language$Fay$Stdlib$error)(Fay$$list("take: negative length")) : _(_(Fay$$cons)(x))(_(_(Language$Fay$Stdlib$take)(_(Fay$$sub)(_(n))(1)))(xs));}throw ["unhandled case in take",[$p1,$p2]];});};};var Language$Fay$Stdlib$drop = function($p1){return function($p2){return new $(function(){var xs = $p2;if (_($p1) === 0) {return xs;}if (_($p2) === null) {return null;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var xs = $tmp1.cdr;var n = $p1;return _(_(Fay$$lt)(_(n))(0)) ? _(Language$Fay$Stdlib$error)(Fay$$list("drop: negative length")) : _(_(Language$Fay$Stdlib$drop)(_(Fay$$sub)(_(n))(1)))(xs);}throw ["unhandled case in drop",[$p1,$p2]];});};};var Language$Fay$Stdlib$splitAt = function($p1){return function($p2){return new $(function(){var xs = $p2;if (_($p1) === 0) {return Fay$$list([null,xs]);}if (_($p2) === null) {return Fay$$list([null,null]);}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var n = $p1;return _(_(Fay$$lt)(_(n))(0)) ? _(Language$Fay$Stdlib$error)(Fay$$list("splitAt: negative length")) : (function($tmp1){if (Fay$$listLen(_($tmp1),2)) {var a = Fay$$index(0)(_($tmp1));var b = Fay$$index(1)(_($tmp1));return Fay$$list([_(_(Fay$$cons)(x))(a),b]);}return (function(){ throw (["unhandled case",$tmp1]); })();})(_(_(Language$Fay$Stdlib$splitAt)(_(Fay$$sub)(_(n))(1)))(xs));}throw ["unhandled case in splitAt",[$p1,$p2]];});};};var Language$Fay$Stdlib$takeWhile = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {return null;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var p = $p1;return _(_(p)(x)) ? _(_(Fay$$cons)(x))(_(_(Language$Fay$Stdlib$takeWhile)(p))(xs)) : null;}throw ["unhandled case in takeWhile",[$p1,$p2]];});};};var Language$Fay$Stdlib$dropWhile = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {return null;}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var p = $p1;return _(_(p)(x)) ? _(_(Language$Fay$Stdlib$dropWhile)(p))(xs) : _(_(Fay$$cons)(x))(xs);}throw ["unhandled case in dropWhile",[$p1,$p2]];});};};var Language$Fay$Stdlib$span = function($p1){return function($p2){return new $(function(){if (_($p2) === null) {return Fay$$list([null,null]);}var $tmp1 = _($p2);if ($tmp1 instanceof Fay$$Cons) {var x = $tmp1.car;var xs = $tmp1.cdr;var p = $p1;return _(_(p)(x)) ? (function($tmp1){if (Fay$$listLen(_($tmp1),2)) {var a = Fay$$index(0)(_($tmp1));var b = Fay$$index(1)(_($tmp1));return Fay$$list([_(_(Fay$$cons)(x))(a),b]);}return (function(){ throw (["unhandled case",$tmp1]); })();})(_(_(Language$Fay$Stdlib$span)(p))(xs)) : Fay$$list([null,_(_(Fay$$cons)(x))(xs)]);}throw ["unhandled case in span",[$p1,$p2]];});};};var Language$Fay$Stdlib$$_break = function($p1){return new $(function(){var p = $p1;return _(Language$Fay$Stdlib$span)(_(_(Language$Fay$Stdlib$$46$)(Language$Fay$Stdlib$not))(p));});};var Language$Fay$Stdlib$print = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],(function(x) { if (console && console.log) console.log(x) })(Fay$$fayToJs(["unknown"],$p1)));});};var Language$Fay$Stdlib$putStrLn = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],(function(x) { if (console && console.log) console.log(x) })(Fay$$fayToJs(["string"],$p1)));});};var $_Language$Fay$Stdlib$Just = function(slot1){this.slot1 = slot1;};var Language$Fay$Stdlib$Just = function(slot1){return new $(function(){return new $_Language$Fay$Stdlib$Just(slot1);});};var $_Language$Fay$Stdlib$Nothing = function(){};var Language$Fay$Stdlib$Nothing = new $(function(){return new $_Language$Fay$Stdlib$Nothing();});var Optimisation$CirclePacking$comparing = function($p1){return function($p2){return function($p3){return new $(function(){var y = $p3;var x = $p2;var p = $p1;return _(_(Language$Fay$Stdlib$compare)(_(p)(x)))(_(p)(y));});};};};var Optimisation$CirclePacking$fromMaybe = function($p1){return function($p2){return new $(function(){var x = $p2;var d = $p1;return (function($tmp1){if (_($tmp1) instanceof $_Language$Fay$Stdlib$Nothing) {return d;}if (_($tmp1) instanceof $_Language$Fay$Stdlib$Just) {var v = _($tmp1).slot1;return v;}return (function(){ throw (["unhandled case",$tmp1]); })();})(x);});};};var Optimisation$CirclePacking$packCircles = function($p1){return new $(function(){var radiusFunction = $p1;return _(_(Language$Fay$Stdlib$$46$)(_(Language$Fay$Stdlib$map)(function($p1){var t = $p1;return (function($tmp1){if (Fay$$listLen(_($tmp1),2)) {var x = Fay$$index(0)(_($tmp1));var p = Fay$$index(1)(_($tmp1));return Fay$$list([_(Language$Fay$Stdlib$snd)(x),p]);}return (function(){ throw (["unhandled case",$tmp1]); })();})(t);})))(_(_(Language$Fay$Stdlib$$46$)(Language$Fay$Stdlib$fst))(_(_(Language$Fay$Stdlib$$46$)(Optimisation$CirclePacking$go))(_(_(Language$Fay$Stdlib$$46$)(_(Language$Fay$Stdlib$sortBy)(_(Optimisation$CirclePacking$comparing)(Optimisation$CirclePacking$radius))))(_(Language$Fay$Stdlib$map)(function($p1){var x = $p1;return Fay$$list([_(radiusFunction)(x),x]);})))));});};var Optimisation$CirclePacking$radius = new $(function(){return Language$Fay$Stdlib$fst;});var Optimisation$CirclePacking$go = function($p1){return new $(function(){if (_($p1) === null) {return Fay$$list([null,null]);}var $tmp1 = _($p1);if ($tmp1 instanceof Fay$$Cons) {var c = $tmp1.car;var cs = $tmp1.cdr;return (function(){var tmp1 = new $(function(){return _(Optimisation$CirclePacking$go)(cs);});var placed = new $(function(){return _(Language$Fay$Stdlib$fst)(tmp1);});var pairs = new $(function(){return _(Language$Fay$Stdlib$snd)(tmp1);});return (function($tmp1){if (Fay$$listLen(_($tmp1),2)) {var cp = Fay$$index(0)(_($tmp1));var newPairs = Fay$$index(1)(_($tmp1));return Fay$$list([_(_(Fay$$cons)(cp))(placed),_(_(Language$Fay$Stdlib$$43$$43$)(newPairs))(pairs)]);}return (function(){ throw (["unhandled case",$tmp1]); })();})(_(_(_(Optimisation$CirclePacking$place)(c))(placed))(pairs));})();}throw ["unhandled case in go",[$p1]];});};var Optimisation$CirclePacking$place = function($p1){return function($p2){return function($p3){return new $(function(){if (_($p2) === null) {var c = $p1;return Fay$$list([Fay$$list([c,Fay$$list([0,0])]),null]);}if (Fay$$listLen(_($p2),1)) {var cp$39$ = Fay$$index(0)(_($p2));if (Fay$$listLen(_(Fay$$index(0)(_($p2))),2)) {var c$39$ = Fay$$index(0)(_(Fay$$index(0)(_($p2))));if (Fay$$listLen(_(Fay$$index(1)(_(Fay$$index(0)(_($p2))))),2)) {var x = Fay$$index(0)(_(Fay$$index(1)(_(Fay$$index(0)(_($p2))))));var y = Fay$$index(1)(_(Fay$$index(1)(_(Fay$$index(0)(_($p2))))));var c = $p1;return (function(){var cp = new $(function(){return Fay$$list([c,Fay$$list([_(Fay$$add)(_(_(Fay$$add)(_(x))(_(_(Optimisation$CirclePacking$radius)(c)))))(_(_(Optimisation$CirclePacking$radius)(c$39$))),y])]);});return Fay$$list([cp,Fay$$list([Fay$$list([cp,cp$39$])])]);})();}}var c = $p1;return (function(){var cp = new $(function(){return Fay$$list([c,Fay$$list([_(Fay$$add)(_(_(Fay$$add)(_(x))(_(_(Optimisation$CirclePacking$radius)(c)))))(_(_(Optimisation$CirclePacking$radius)(c$39$))),y])]);});return Fay$$list([cp,Fay$$list([Fay$$list([cp,cp$39$])])]);})();}var pairs = $p3;var placed = $p2;var c = $p1;return (function(){var newPairs = new $(function(){var $gen_1 = function($p1){return new $(function(){var cp$39$ = $p1;return _(_(_(touching)(cp))(cp$39$)) ? Fay$$list([Fay$$list([cp,cp$39$])]) : null;return null;});};return _(_(Language$Fay$Stdlib$concatMap)($gen_1))(placed);});var cp = new $(function(){return Fay$$list([c,p]);});var p = new $(function(){return _(_(Language$Fay$Stdlib$$36$)(_(Optimisation$CirclePacking$fromMaybe)(_(Language$Fay$Stdlib$error)(Fay$$list("packCircles: The end of the real plane has been reached?")))))(_(_(Language$Fay$Stdlib$$36$)(_(Language$Fay$Stdlib$find)(function($p1){var p$39$ = $p1;return _(_(Language$Fay$Stdlib$all)(_(valid)(p$39$)))(placed);})))(_(_(Language$Fay$Stdlib$sortBy)(_(Optimisation$CirclePacking$comparing)(centerDistance)))((function(){var $gen_1 = function($p1){return new $(function(){if (Fay$$listLen(_($p1),2)) {var c1 = Fay$$index(0)(_($p1));var c2 = Fay$$index(1)(_($p1));return _(_(_(touching)(c1))(c2)) ? (function(){var $gen_1 = function($p1){return new $(function(){var p$39$ = $p1;return Fay$$list([p$39$]);return null;});};return _(_(Language$Fay$Stdlib$concatMap)($gen_1))(_(_(near)(c1))(c2));})() : null;}return null;});};return _(_(Language$Fay$Stdlib$concatMap)($gen_1))(pairs);})())));});var centerDistance = function($p1){return new $(function(){if (Fay$$listLen(_($p1),2)) {var x = Fay$$index(0)(_($p1));var y = Fay$$index(1)(_($p1));return _(Language$Fay$Stdlib$sqrt)(_(Fay$$add)(_(_(_(Language$Fay$Stdlib$$42$$42$)(_(Fay$$sub)(_(centerx))(_(x))))(2)))(_(_(_(Language$Fay$Stdlib$$42$$42$)(_(Fay$$sub)(_(centery))(_(y))))(2))));}throw ["unhandled case in centerDistance",[$p1]];});};var centerx = new $(function(){return _(Fay$$div)(_(_(Language$Fay$Stdlib$sum)((function(){var $gen_1 = function($p1){return new $(function(){if (Fay$$listLen(_($p1),2)) {var c$39$ = Fay$$index(0)(_($p1));if (Fay$$listLen(_(Fay$$index(1)(_($p1))),2)) {var x = Fay$$index(0)(_(Fay$$index(1)(_($p1))));return Fay$$list([_(Fay$$mult)(_(x))(_(_(_(Language$Fay$Stdlib$$42$$42$)(_(Optimisation$CirclePacking$radius)(c$39$)))(2)))]);}}return null;});};return _(_(Language$Fay$Stdlib$concatMap)($gen_1))(placed);})())))(_(area));});var centery = new $(function(){return _(Fay$$div)(_(_(Language$Fay$Stdlib$sum)((function(){var $gen_1 = function($p1){return new $(function(){if (Fay$$listLen(_($p1),2)) {var c$39$ = Fay$$index(0)(_($p1));if (Fay$$listLen(_(Fay$$index(1)(_($p1))),2)) {var y = Fay$$index(1)(_(Fay$$index(1)(_($p1))));return Fay$$list([_(Fay$$mult)(_(y))(_(_(_(Language$Fay$Stdlib$$42$$42$)(_(Optimisation$CirclePacking$radius)(c$39$)))(2)))]);}}return null;});};return _(_(Language$Fay$Stdlib$concatMap)($gen_1))(placed);})())))(_(area));});var area = new $(function(){return _(Language$Fay$Stdlib$sum)((function(){var $gen_1 = function($p1){return new $(function(){if (Fay$$listLen(_($p1),2)) {var c$39$ = Fay$$index(0)(_($p1));return Fay$$list([_(_(Language$Fay$Stdlib$$42$$42$)(_(Optimisation$CirclePacking$radius)(c$39$)))(2)]);}return null;});};return _(_(Language$Fay$Stdlib$concatMap)($gen_1))(placed);})());});var valid = function($p1){return function($p2){return new $(function(){if (Fay$$listLen(_($p2),2)) {var c2 = Fay$$index(0)(_($p2));if (Fay$$listLen(_(Fay$$index(1)(_($p2))),2)) {var x2 = Fay$$index(0)(_(Fay$$index(1)(_($p2))));var y2 = Fay$$index(1)(_(Fay$$index(1)(_($p2))));if (Fay$$listLen(_($p1),2)) {var x1 = Fay$$index(0)(_($p1));var y1 = Fay$$index(1)(_($p1));return _(_(Fay$$gte)(_(Language$Fay$Stdlib$sqrt)(_(Fay$$add)(_(_(_(Language$Fay$Stdlib$$42$$42$)(_(Fay$$sub)(_(x2))(_(x1))))(2)))(_(_(_(Language$Fay$Stdlib$$42$$42$)(_(Fay$$sub)(_(y2))(_(y1))))(2))))))(_(Fay$$mult)(_(_(Fay$$add)(_(_(Optimisation$CirclePacking$radius)(c)))(_(_(Optimisation$CirclePacking$radius)(c2)))))(_(_(Fay$$sub)(1)(_(Optimisation$CirclePacking$eps)))));}}}throw ["unhandled case in valid",[$p1,$p2]];});};};var touching = function($p1){return function($p2){return new $(function(){if (Fay$$listLen(_($p2),2)) {var c2 = Fay$$index(0)(_($p2));if (Fay$$listLen(_(Fay$$index(1)(_($p2))),2)) {var x2 = Fay$$index(0)(_(Fay$$index(1)(_($p2))));var y2 = Fay$$index(1)(_(Fay$$index(1)(_($p2))));if (Fay$$listLen(_($p1),2)) {var c1 = Fay$$index(0)(_($p1));if (Fay$$listLen(_(Fay$$index(1)(_($p1))),2)) {var x1 = Fay$$index(0)(_(Fay$$index(1)(_($p1))));var y1 = Fay$$index(1)(_(Fay$$index(1)(_($p1))));return _(_(Fay$$lte)(_(Language$Fay$Stdlib$sqrt)(_(Fay$$add)(_(_(_(Language$Fay$Stdlib$$42$$42$)(_(Fay$$sub)(_(x2))(_(x1))))(2)))(_(_(_(Language$Fay$Stdlib$$42$$42$)(_(Fay$$sub)(_(y2))(_(y1))))(2))))))(_(Fay$$mult)(_(_(Fay$$add)(_(_(Optimisation$CirclePacking$radius)(c1)))(_(_(Optimisation$CirclePacking$radius)(c2)))))(_(_(Fay$$add)(1)(_(Optimisation$CirclePacking$eps)))));}}}}throw ["unhandled case in touching",[$p1,$p2]];});};};var near = function($p1){return function($p2){return new $(function(){if (Fay$$listLen(_($p2),2)) {var c2 = Fay$$index(0)(_($p2));if (Fay$$listLen(_(Fay$$index(1)(_($p2))),2)) {var x2 = Fay$$index(0)(_(Fay$$index(1)(_($p2))));var y2 = Fay$$index(1)(_(Fay$$index(1)(_($p2))));if (Fay$$listLen(_($p1),2)) {var c1 = Fay$$index(0)(_($p1));if (Fay$$listLen(_(Fay$$index(1)(_($p1))),2)) {var x1 = Fay$$index(0)(_(Fay$$index(1)(_($p1))));var y1 = Fay$$index(1)(_(Fay$$index(1)(_($p1))));return (function(){var base = new $(function(){return _(Language$Fay$Stdlib$sqrt)(_(Fay$$add)(_(_(_(Language$Fay$Stdlib$$42$$42$)(_(Fay$$sub)(_(x2))(_(x1))))(2)))(_(_(_(Language$Fay$Stdlib$$42$$42$)(_(Fay$$sub)(_(y2))(_(y1))))(2))));});var lat1 = new $(function(){return _(Fay$$add)(_(_(Optimisation$CirclePacking$radius)(c1)))(_(_(Optimisation$CirclePacking$radius)(c)));});var lat2 = new $(function(){return _(Fay$$add)(_(_(Optimisation$CirclePacking$radius)(c2)))(_(_(Optimisation$CirclePacking$radius)(c)));});var ad_length = new $(function(){return _(Fay$$div)(_(_(Fay$$sub)(_(_(Fay$$add)(_(_(_(Language$Fay$Stdlib$$42$$42$)(base))(2)))(_(_(_(Language$Fay$Stdlib$$42$$42$)(lat1))(2)))))(_(_(_(Language$Fay$Stdlib$$42$$42$)(lat2))(2)))))(_(_(Fay$$mult)(2)(_(base))));});var h = new $(function(){return _(Language$Fay$Stdlib$sqrt)(_(Language$Fay$Stdlib$abs)(_(Fay$$sub)(_(_(_(Language$Fay$Stdlib$$42$$42$)(lat1))(2)))(_(_(_(Language$Fay$Stdlib$$42$$42$)(ad_length))(2)))));});var dx = new $(function(){return _(Fay$$add)(_(x1))(_(_(Fay$$div)(_(_(Fay$$mult)(_(ad_length))(_(_(Fay$$sub)(_(x2))(_(x1))))))(_(base))));});var dy = new $(function(){return _(Fay$$add)(_(y1))(_(_(Fay$$div)(_(_(Fay$$mult)(_(ad_length))(_(_(Fay$$sub)(_(y2))(_(y1))))))(_(base))));});var c1x = new $(function(){return _(Fay$$add)(_(dx))(_(_(Fay$$div)(_(_(Fay$$mult)(_(h))(_(_(Fay$$sub)(_(y2))(_(y1))))))(_(base))));});var c1y = new $(function(){return _(Fay$$sub)(_(dy))(_(_(Fay$$div)(_(_(Fay$$mult)(_(h))(_(_(Fay$$sub)(_(x2))(_(x1))))))(_(base))));});var c2x = new $(function(){return _(Fay$$sub)(_(dx))(_(_(Fay$$div)(_(_(Fay$$mult)(_(h))(_(_(Fay$$sub)(_(y2))(_(y1))))))(_(base))));});var c2y = new $(function(){return _(Fay$$add)(_(dy))(_(_(Fay$$div)(_(_(Fay$$mult)(_(h))(_(_(Fay$$sub)(_(x2))(_(x1))))))(_(base))));});return Fay$$list([Fay$$list([c1x,c1y]),Fay$$list([c2x,c2y])]);})();}}}}throw ["unhandled case in near",[$p1,$p2]];});};};return Fay$$list([cp,newPairs]);})();});};};};var Optimisation$CirclePacking$eps = 1.0e-5;var FayDemo$main = new $(function(){return _(_(Fay$$bind)(FayDemo$getWindow))(function($p1){var $_window = $p1;return _(_(_(_(FayDemo$addEventListener)($_window))(Fay$$list("load")))(FayDemo$start))(false);});});var FayDemo$colors = new $(function(){return Fay$$list([Fay$$list("Black"),Fay$$list("Green"),Fay$$list("Silver"),Fay$$list("Lime"),Fay$$list("Gray"),Fay$$list("Olive"),Fay$$list("Yellow"),Fay$$list("Maroon"),Fay$$list("Navy"),Fay$$list("Red"),Fay$$list("Blue"),Fay$$list("Purple"),Fay$$list("Teal"),Fay$$list("Fuchsia"),Fay$$list("Aqua")]);});var FayDemo$parseInt = function($p1){return new $(function(){return Fay$$jsToFay(["int"],(function () { var n = window.parseInt(Fay$$fayToJs(["string"],$p1), 10); if (isNaN(n)) return null; return n; })());});};var FayDemo$start = new $(function(){return _(_(Fay$$bind)(_(FayDemo$getElementById)(Fay$$list("input"))))(function($p1){var input = $p1;return _(_(Fay$$then)(_(_(_(_(FayDemo$addEventListener)(input))(Fay$$list("change")))(FayDemo$update))(false)))(_(_(Fay$$then)(_(_(_(_(FayDemo$addEventListener)(input))(Fay$$list("input")))(FayDemo$update))(false)))(_(_(Fay$$then)(_(_(_(_(FayDemo$addEventListener)(input))(Fay$$list("keyup")))(FayDemo$update))(false)))(_(_(Fay$$then)(_(_(_(_(FayDemo$addEventListener)(input))(Fay$$list("paste")))(FayDemo$update))(false)))(FayDemo$update))));});});var FayDemo$update = new $(function(){return _(_(Fay$$bind)(_(FayDemo$getElementById)(Fay$$list("can"))))(function($p1){var canvas = $p1;return _(_(Fay$$then)(_(FayDemo$clearCanvas)(canvas)))(_(_(Fay$$bind)(_(_(FayDemo$getContext)(canvas))(Fay$$list("2d"))))(function($p1){var context = $p1;return _(_(Fay$$bind)(_(FayDemo$getWidth)(canvas)))(function($p1){var w = $p1;return _(_(Fay$$bind)(_(FayDemo$getHeight)(canvas)))(function($p1){var h = $p1;return _(_(Fay$$bind)(_(FayDemo$getElementById)(Fay$$list("input"))))(function($p1){var input = $p1;return _(_(Fay$$bind)(_(FayDemo$getValue)(input)))(function($p1){var value = $p1;return (function(){var radii = new $(function(){return _(_(Language$Fay$Stdlib$map)(_(_(Language$Fay$Stdlib$$46$)(Language$Fay$Stdlib$fromIntegral))(FayDemo$parseInt)))(_(Language$Fay$Stdlib$words)(value));});return (function(){var packed = new $(function(){return _(_(Optimisation$CirclePacking$packCircles)(Language$Fay$Stdlib$id))(radii);});return (function(){var colored = new $(function(){return _(_(Language$Fay$Stdlib$zip)(packed))(_(Language$Fay$Stdlib$cycle)(FayDemo$colors));});return _(_(Language$Fay$Stdlib$$36$)(_(Language$Fay$Stdlib$forM_)(colored)))(function($p1){var res = $p1;return (function(){var circle = new $(function(){return _(Language$Fay$Stdlib$fst)(res);});return (function(){var color = new $(function(){return _(Language$Fay$Stdlib$snd)(res);});return _(_(Fay$$then)(_(FayDemo$beginPath)(context)))(_(_(Fay$$then)(_(_(_(_(FayDemo$addCircle)(context))(_(Language$Fay$Stdlib$fst)(circle)))(_(Fay$$add)(_(_(Language$Fay$Stdlib$fst)(_(Language$Fay$Stdlib$snd)(circle))))(_(_(Fay$$div)(_(w))(2)))))(_(Fay$$add)(_(_(Language$Fay$Stdlib$snd)(_(Language$Fay$Stdlib$snd)(circle))))(_(_(Fay$$div)(_(h))(2))))))(_(_(Fay$$then)(_(_(FayDemo$setFillStyle)(context))(color)))(_(FayDemo$fill)(context))));})();})();});})();})();})();});});});});}));});});var FayDemo$addEventListener = function($p1){return function($p2){return function($p3){return function($p4){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],Fay$$fayToJs(["unknown"],$p1)['addEventListener'](Fay$$fayToJs(["string"],$p2),Fay$$fayToJs(["action",[["unknown"]]],$p3),Fay$$fayToJs(["bool"],$p4)));});};};};};var FayDemo$getElementById = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["user","Element",[]]]],document['getElementById'](Fay$$fayToJs(["string"],$p1)));});};var FayDemo$getElementsByTagName = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["user","Element",[]]]],document['getElementsByTagName'](Fay$$fayToJs(["string"],$p1))[0]);});};var FayDemo$newImage = new $(function(){return Fay$$jsToFay(["action",[["user","Image",[]]]],new Image());});var FayDemo$setSrc = function($p1){return function($p2){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],Fay$$fayToJs(["user","Image",[]],$p1)['src'] = Fay$$fayToJs(["string"],$p2));});};};var FayDemo$getContext = function($p1){return function($p2){return new $(function(){return Fay$$jsToFay(["action",[["user","Context",[]]]],Fay$$fayToJs(["user","Element",[]],$p1)['getContext'](Fay$$fayToJs(["string"],$p2)));});};};var FayDemo$clearCanvas = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],Fay$$fayToJs(["user","Element",[]],$p1)['getContext']('2d')['clearRect']( 0 , 0 , Fay$$fayToJs(["user","Element",[]],$p1)['width'] , Fay$$fayToJs(["user","Element",[]],$p1)['height']));});};var FayDemo$getValue = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["string"]]],Fay$$fayToJs(["user","Element",[]],$p1)['value']);});};var FayDemo$getWidth = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["double"]]],Fay$$fayToJs(["user","Element",[]],$p1)['width']);});};var FayDemo$getHeight = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["double"]]],Fay$$fayToJs(["user","Element",[]],$p1)['height']);});};var FayDemo$beginPath = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],Fay$$fayToJs(["user","Context",[]],$p1)['beginPath']());});};var FayDemo$addCircle = function($p1){return function($p2){return function($p3){return function($p4){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],Fay$$fayToJs(["user","Context",[]],$p1)['arc'](Fay$$fayToJs(["double"],$p3),Fay$$fayToJs(["double"],$p4),Fay$$fayToJs(["double"],$p2),0,2*Math.PI,false));});};};};};var FayDemo$setFillStyle = function($p1){return function($p2){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],Fay$$fayToJs(["user","Context",[]],$p1)['fillStyle']=Fay$$fayToJs(["string"],$p2));});};};var FayDemo$fill = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],Fay$$fayToJs(["user","Context",[]],$p1)['fill']());});};var FayDemo$getWindow = new $(function(){return Fay$$jsToFay(["action",[["user","Element",[]]]],window);});var FayDemo$alert = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],window['alert'](Fay$$fayToJs(["unknown"],$p1)));});};var FayDemo$print = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],console['log'](Fay$$fayToJs(["double"],$p1)));});};var FayDemo$printLog = function($p1){return new $(function(){return Fay$$jsToFay(["action",[["unknown"]]],console['log'](Fay$$fayToJs(["string"],$p1)));});};var Fay$$fayToJsUserDefined = function(type,obj){var _obj = _(obj);var argTypes = type[2];if (_obj instanceof $_Language$Fay$Stdlib$Nothing) {var obj_ = {"instance": "Nothing"};return obj_;}if (_obj instanceof $_Language$Fay$Stdlib$Just) {var obj_ = {"instance": "Just"};var obj_slot1 = Fay$$fayToJs(["unknown"],_(_obj.slot1));if (undefined !== obj_slot1) {obj_.slot1 = obj_slot1;}return obj_;}if (_obj instanceof $_Language$Fay$Stdlib$EQ) {var obj_ = {"instance": "EQ"};return obj_;}if (_obj instanceof $_Language$Fay$Stdlib$LT) {var obj_ = {"instance": "LT"};return obj_;}if (_obj instanceof $_Language$Fay$Stdlib$GT) {var obj_ = {"instance": "GT"};return obj_;}if (_obj instanceof $_Language$Fay$Stdlib$Right) {var obj_ = {"instance": "Right"};var obj_slot1 = Fay$$fayToJs(["unknown"],_(_obj.slot1));if (undefined !== obj_slot1) {obj_.slot1 = obj_slot1;}return obj_;}if (_obj instanceof $_Language$Fay$Stdlib$Left) {var obj_ = {"instance": "Left"};var obj_slot1 = Fay$$fayToJs(["unknown"],_(_obj.slot1));if (undefined !== obj_slot1) {obj_.slot1 = obj_slot1;}return obj_;}if (_obj instanceof $_Language$Fay$Stdlib$Defined) {var obj_ = {"instance": "Defined"};var obj_slot1 = Fay$$fayToJs(["unknown"],_(_obj.slot1));if (undefined !== obj_slot1) {obj_.slot1 = obj_slot1;}return obj_;}if (_obj instanceof $_Language$Fay$Stdlib$Undefined) {var obj_ = {"instance": "Undefined"};return obj_;}return obj;};var Fay$$jsToFayUserDefined = function(type,obj){if (obj["instance"] === "Nothing") {return new $_Language$Fay$Stdlib$Nothing();}if (obj["instance"] === "Just") {return new $_Language$Fay$Stdlib$Just(Fay$$jsToFay(["unknown"],obj["slot1"]));}if (obj["instance"] === "EQ") {return new $_Language$Fay$Stdlib$EQ();}if (obj["instance"] === "LT") {return new $_Language$Fay$Stdlib$LT();}if (obj["instance"] === "GT") {return new $_Language$Fay$Stdlib$GT();}if (obj["instance"] === "Right") {return new $_Language$Fay$Stdlib$Right(Fay$$jsToFay(["unknown"],obj["slot1"]));}if (obj["instance"] === "Left") {return new $_Language$Fay$Stdlib$Left(Fay$$jsToFay(["unknown"],obj["slot1"]));}if (obj["instance"] === "Defined") {return new $_Language$Fay$Stdlib$Defined(Fay$$jsToFay(["unknown"],obj["slot1"]));}if (obj["instance"] === "Undefined") {return new $_Language$Fay$Stdlib$Undefined();}return obj;};+// Exports+this.FayDemo$main = FayDemo$main;++// Built-ins+this._ = _;+this.$ = $;+this.$fayToJs = Fay$$fayToJs;+this.$jsToFay = Fay$$jsToFay;++};+;+var main = new FayDemo();+main._(main.FayDemo$main);+