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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE FlexibleInstances, MultiParamTypeClasses, DeriveDataTypeable, PatternGuards #-}</span>
<a name="line-2"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-3"></a><span class='hs-comment'>-- |</span>
<a name="line-4"></a><span class='hs-comment'>-- Module : XMonad.Layout.Mosaic</span>
<a name="line-5"></a><span class='hs-comment'>-- Copyright : (c) 2009 Adam Vogt, 2007 James Webb</span>
<a name="line-6"></a><span class='hs-comment'>-- License : BSD-style (see xmonad/LICENSE)</span>
<a name="line-7"></a><span class='hs-comment'>--</span>
<a name="line-8"></a><span class='hs-comment'>-- Maintainer : vogt.adam<at>gmail.com</span>
<a name="line-9"></a><span class='hs-comment'>-- Stability : unstable</span>
<a name="line-10"></a><span class='hs-comment'>-- Portability : unportable</span>
<a name="line-11"></a><span class='hs-comment'>--</span>
<a name="line-12"></a><span class='hs-comment'>-- Based on MosaicAlt, but aspect ratio messages always change the aspect</span>
<a name="line-13"></a><span class='hs-comment'>-- ratios, and rearranging the window stack changes the window sizes.</span>
<a name="line-14"></a><span class='hs-comment'>--</span>
<a name="line-15"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-16"></a>
<a name="line-17"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>XMonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Layout</span><span class='hs-varop'>.</span><span class='hs-conid'>Mosaic</span> <span class='hs-layout'>(</span>
<a name="line-18"></a> <span class='hs-comment'>-- * Usage</span>
<a name="line-19"></a> <span class='hs-comment'>-- $usage</span>
<a name="line-20"></a> <span class='hs-conid'>Aspect</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-21"></a> <span class='hs-layout'>,</span><span class='hs-varid'>mosaic</span>
<a name="line-22"></a> <span class='hs-layout'>,</span><span class='hs-varid'>changeMaster</span>
<a name="line-23"></a> <span class='hs-layout'>,</span><span class='hs-varid'>changeFocused</span>
<a name="line-24"></a>
<a name="line-25"></a> <span class='hs-layout'>,</span><span class='hs-conid'>Mosaic</span>
<a name="line-26"></a> <span class='hs-layout'>)</span>
<a name="line-27"></a> <span class='hs-keyword'>where</span>
<a name="line-28"></a>
<a name="line-29"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Prelude</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-varid'>sum</span><span class='hs-layout'>)</span>
<a name="line-30"></a>
<a name="line-31"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>XMonad</span><span class='hs-layout'>(</span><span class='hs-conid'>Typeable</span><span class='hs-layout'>,</span>
<a name="line-32"></a> <span class='hs-conid'>LayoutClass</span><span class='hs-layout'>(</span><span class='hs-varid'>doLayout</span><span class='hs-layout'>,</span> <span class='hs-varid'>handleMessage</span><span class='hs-layout'>,</span> <span class='hs-varid'>pureMessage</span><span class='hs-layout'>,</span> <span class='hs-varid'>description</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span>
<a name="line-33"></a> <span class='hs-conid'>Message</span><span class='hs-layout'>,</span> <span class='hs-conid'>X</span><span class='hs-layout'>,</span> <span class='hs-varid'>fromMessage</span><span class='hs-layout'>,</span> <span class='hs-varid'>withWindowSet</span><span class='hs-layout'>,</span> <span class='hs-conid'>Resize</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span>
<a name="line-34"></a> <span class='hs-varid'>splitHorizontallyBy</span><span class='hs-layout'>,</span> <span class='hs-varid'>splitVerticallyBy</span><span class='hs-layout'>,</span> <span class='hs-varid'>sendMessage</span><span class='hs-layout'>,</span> <span class='hs-conid'>Rectangle</span><span class='hs-layout'>)</span>
<a name="line-35"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>XMonad</span><span class='hs-varop'>.</span><span class='hs-conid'>StackSet</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>W</span>
<a name="line-36"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span><span class='hs-layout'>(</span><span class='hs-varid'>second</span><span class='hs-layout'>,</span> <span class='hs-varid'>first</span><span class='hs-layout'>)</span>
<a name="line-37"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-layout'>(</span><span class='hs-varid'>mplus</span><span class='hs-layout'>)</span>
<a name="line-38"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Foldable</span><span class='hs-layout'>(</span><span class='hs-conid'>Foldable</span><span class='hs-layout'>,</span><span class='hs-varid'>foldMap</span><span class='hs-layout'>,</span> <span class='hs-varid'>sum</span><span class='hs-layout'>)</span>
<a name="line-39"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Function</span><span class='hs-layout'>(</span><span class='hs-varid'>on</span><span class='hs-layout'>)</span>
<a name="line-40"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>List</span><span class='hs-layout'>(</span><span class='hs-varid'>sortBy</span><span class='hs-layout'>)</span>
<a name="line-41"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span><span class='hs-layout'>(</span><span class='hs-conid'>Monoid</span><span class='hs-layout'>,</span><span class='hs-varid'>mempty</span><span class='hs-layout'>,</span> <span class='hs-varid'>mappend</span><span class='hs-layout'>)</span>
<a name="line-42"></a>
<a name="line-43"></a>
<a name="line-44"></a><span class='hs-comment'>-- $usage</span>
<a name="line-45"></a><span class='hs-comment'>-- You can use this module with the following in your @~\/.xmonad\/xmonad.hs@:</span>
<a name="line-46"></a><span class='hs-comment'>--</span>
<a name="line-47"></a><span class='hs-comment'>-- > import XMonad.Layout.Mosaic</span>
<a name="line-48"></a><span class='hs-comment'>--</span>
<a name="line-49"></a><span class='hs-comment'>-- Then edit your @layoutHook@ by adding the Mosaic layout:</span>
<a name="line-50"></a><span class='hs-comment'>--</span>
<a name="line-51"></a><span class='hs-comment'>-- > myLayout = mosaic 2 [3,2] ||| Full ||| etc..</span>
<a name="line-52"></a><span class='hs-comment'>-- > main = xmonad $ defaultConfig { layoutHook = myLayout }</span>
<a name="line-53"></a><span class='hs-comment'>--</span>
<a name="line-54"></a><span class='hs-comment'>-- Unfortunately, infinite lists break serialization, so don't use them. And if</span>
<a name="line-55"></a><span class='hs-comment'>-- the list is too short, it is extended with @++ repeat 1@, which covers the</span>
<a name="line-56"></a><span class='hs-comment'>-- main use case.</span>
<a name="line-57"></a><span class='hs-comment'>--</span>
<a name="line-58"></a><span class='hs-comment'>-- To change the choice in aspect ratio and the relative sizes of windows, add</span>
<a name="line-59"></a><span class='hs-comment'>-- to your keybindings:</span>
<a name="line-60"></a><span class='hs-comment'>--</span>
<a name="line-61"></a><span class='hs-comment'>-- > , ((modm, xK_a), sendMessage Taller)</span>
<a name="line-62"></a><span class='hs-comment'>-- > , ((modm, xK_z), sendMessage Wider)</span>
<a name="line-63"></a><span class='hs-comment'>--</span>
<a name="line-64"></a><span class='hs-comment'>-- > , ((modm, xK_r), sendMessage Reset)</span>
<a name="line-65"></a><span class='hs-comment'>--</span>
<a name="line-66"></a><span class='hs-comment'>-- For more detailed instructions on editing the layoutHook see:</span>
<a name="line-67"></a><span class='hs-comment'>--</span>
<a name="line-68"></a><span class='hs-comment'>-- "XMonad.Doc.Extending#Editing_the_layout_hook"</span>
<a name="line-69"></a>
<a name="line-70"></a><a name="Aspect"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Aspect</span>
<a name="line-71"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Taller</span>
<a name="line-72"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Wider</span>
<a name="line-73"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Reset</span>
<a name="line-74"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>SlopeMod</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-75"></a> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Typeable</span><span class='hs-layout'>)</span>
<a name="line-76"></a>
<a name="line-77"></a><a name="instance%20Message%20Aspect%20--%20%7c%20The%20relative%20magnitudes%20(the%20sign%20is%20ignored)%20of%20the%20rational%20numbers%20in%20--%20the%20second%20argument%20determine%20the%20relative%20areas%20that%20the%20windows%20receive.%20--%20The%20first%20number%20represents%20the%20size%20of%20the%20master%20window,%20the%20second%20is%20for%20--%20the%20next%20window%20in%20the%20stack,%20and%20so%20on.%20--%20--%20The%20list%20is%20extended%20with%20@++%20repeat%201@,%20so%20@mosaic%201.5%20%5b%5d@%20is%20like%20a%20--%20resizable%20grid.%20--%20--%20The%20first%20parameter%20is%20the%20multiplicative%20factor%20to%20use%20when%20responding%20to%20--%20the%20'Expand'%20message.%20mosaic%20::%20Rational%20-%3e%20%5bRational%5d%20-%3e%20Mosaic%20a%20mosaic%20=%20Mosaic%20Nothing%20data%20Mosaic%20a%20=%20--%20%7c%20True%20to%20override%20the%20aspect,%20current%20index,%20maximum%20index%20Mosaic%20(Maybe(Bool,Rational,Int))%20Rational%20%5bRational%5d%20deriving%20(Read,Show)%20instance%20LayoutClass%20Mosaic%20a"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Message</span> <span class='hs-conid'>Aspect</span>
<a name="line-78"></a>
<a name="line-79"></a><a name="mosaic"></a><span class='hs-comment'>-- | The relative magnitudes (the sign is ignored) of the rational numbers in</span>
<a name="line-80"></a><span class='hs-comment'>-- the second argument determine the relative areas that the windows receive.</span>
<a name="line-81"></a><span class='hs-comment'>-- The first number represents the size of the master window, the second is for</span>
<a name="line-82"></a><span class='hs-comment'>-- the next window in the stack, and so on.</span>
<a name="line-83"></a><span class='hs-comment'>--</span>
<a name="line-84"></a><span class='hs-comment'>-- The list is extended with @++ repeat 1@, so @mosaic 1.5 []@ is like a</span>
<a name="line-85"></a><span class='hs-comment'>-- resizable grid.</span>
<a name="line-86"></a><span class='hs-comment'>--</span>
<a name="line-87"></a><span class='hs-comment'>-- The first parameter is the multiplicative factor to use when responding to</span>
<a name="line-88"></a><span class='hs-comment'>-- the 'Expand' message.</span>
<a name="line-89"></a><span class='hs-definition'>mosaic</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Mosaic</span> <span class='hs-varid'>a</span>
<a name="line-90"></a><span class='hs-definition'>mosaic</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Mosaic</span> <span class='hs-conid'>Nothing</span>
<a name="line-91"></a>
<a name="line-92"></a><a name="Mosaic"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Mosaic</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-comment'>-- | True to override the aspect, current index, maximum index</span>
<a name="line-93"></a> <span class='hs-conid'>Mosaic</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span><span class='hs-layout'>(</span><span class='hs-conid'>Bool</span><span class='hs-layout'>,</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-conid'>Int</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Read</span><span class='hs-layout'>,</span><span class='hs-conid'>Show</span><span class='hs-layout'>)</span>
<a name="line-94"></a>
<a name="line-95"></a><a name="instance%20LayoutClass%20Mosaic%20a"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>LayoutClass</span> <span class='hs-conid'>Mosaic</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>where</span>
<a name="line-96"></a> <span class='hs-varid'>description</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>const</span> <span class='hs-str'>"Mosaic"</span>
<a name="line-97"></a>
<a name="line-98"></a> <span class='hs-varid'>pureMessage</span> <span class='hs-layout'>(</span><span class='hs-conid'>Mosaic</span> <span class='hs-conid'>Nothing</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Nothing</span>
<a name="line-99"></a> <span class='hs-varid'>pureMessage</span> <span class='hs-layout'>(</span><span class='hs-conid'>Mosaic</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span><span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>ix</span><span class='hs-layout'>,</span><span class='hs-varid'>mix</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>delta</span> <span class='hs-varid'>ss</span><span class='hs-layout'>)</span> <span class='hs-varid'>ms</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromMessage</span> <span class='hs-varid'>ms</span> <span class='hs-varop'>>>=</span> <span class='hs-varid'>ixMod</span>
<a name="line-100"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>ixMod</span> <span class='hs-conid'>Taller</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>round</span> <span class='hs-varid'>ix</span> <span class='hs-varop'>>=</span> <span class='hs-varid'>mix</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Nothing</span>
<a name="line-101"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Mosaic</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span><span class='hs-layout'>(</span><span class='hs-conid'>False</span><span class='hs-layout'>,</span><span class='hs-varid'>succ</span> <span class='hs-varid'>ix</span><span class='hs-layout'>,</span><span class='hs-varid'>mix</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>delta</span> <span class='hs-varid'>ss</span>
<a name="line-102"></a> <span class='hs-varid'>ixMod</span> <span class='hs-conid'>Wider</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>round</span> <span class='hs-varid'>ix</span> <span class='hs-varop'><=</span> <span class='hs-layout'>(</span><span class='hs-num'>0</span><span class='hs-keyglyph'>::</span><span class='hs-conid'>Integer</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Nothing</span>
<a name="line-103"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Mosaic</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span><span class='hs-layout'>(</span><span class='hs-conid'>False</span><span class='hs-layout'>,</span><span class='hs-varid'>pred</span> <span class='hs-varid'>ix</span><span class='hs-layout'>,</span><span class='hs-varid'>mix</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>delta</span> <span class='hs-varid'>ss</span>
<a name="line-104"></a> <span class='hs-varid'>ixMod</span> <span class='hs-conid'>Reset</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Mosaic</span> <span class='hs-conid'>Nothing</span> <span class='hs-varid'>delta</span> <span class='hs-varid'>ss</span>
<a name="line-105"></a> <span class='hs-varid'>ixMod</span> <span class='hs-layout'>(</span><span class='hs-conid'>SlopeMod</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Mosaic</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span><span class='hs-layout'>(</span><span class='hs-conid'>False</span><span class='hs-layout'>,</span><span class='hs-varid'>ix</span><span class='hs-layout'>,</span><span class='hs-varid'>mix</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>delta</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>ss</span><span class='hs-layout'>)</span>
<a name="line-106"></a>
<a name="line-107"></a> <span class='hs-varid'>handleMessage</span> <span class='hs-varid'>l</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Mosaic</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>delta</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-varid'>ms</span>
<a name="line-108"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Just</span> <span class='hs-conid'>Expand</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>fromMessage</span> <span class='hs-varid'>ms</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>changeFocused</span> <span class='hs-layout'>(</span><span class='hs-varop'>*</span><span class='hs-varid'>delta</span><span class='hs-layout'>)</span> <span class='hs-varop'>>></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Nothing</span>
<a name="line-109"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Just</span> <span class='hs-conid'>Shrink</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>fromMessage</span> <span class='hs-varid'>ms</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>changeFocused</span> <span class='hs-layout'>(</span><span class='hs-varop'>/</span><span class='hs-varid'>delta</span><span class='hs-layout'>)</span> <span class='hs-varop'>>></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Nothing</span>
<a name="line-110"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-varid'>pureMessage</span> <span class='hs-varid'>l</span> <span class='hs-varid'>ms</span>
<a name="line-111"></a>
<a name="line-112"></a> <span class='hs-varid'>doLayout</span> <span class='hs-layout'>(</span><span class='hs-conid'>Mosaic</span> <span class='hs-varid'>state</span> <span class='hs-varid'>delta</span> <span class='hs-varid'>ss</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span> <span class='hs-varid'>st</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>let</span>
<a name="line-113"></a> <span class='hs-varid'>ssExt</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zipWith</span> <span class='hs-varid'>const</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss</span> <span class='hs-varop'>++</span> <span class='hs-varid'>repeat</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-varid'>integrate</span> <span class='hs-varid'>st</span>
<a name="line-114"></a> <span class='hs-varid'>rects</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>splits</span> <span class='hs-varid'>r</span> <span class='hs-varid'>ssExt</span>
<a name="line-115"></a> <span class='hs-varid'>nls</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>length</span> <span class='hs-varid'>rects</span>
<a name="line-116"></a> <span class='hs-varid'>fi</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromIntegral</span>
<a name="line-117"></a> <span class='hs-varid'>nextIx</span> <span class='hs-layout'>(</span><span class='hs-varid'>ov</span><span class='hs-layout'>,</span><span class='hs-varid'>ix</span><span class='hs-layout'>,</span><span class='hs-varid'>mix</span><span class='hs-layout'>)</span>
<a name="line-118"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>mix</span> <span class='hs-varop'><=</span> <span class='hs-num'>0</span> <span class='hs-varop'>||</span> <span class='hs-varid'>ov</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varop'>$</span> <span class='hs-varid'>nls</span> <span class='hs-varop'>`div`</span> <span class='hs-num'>2</span>
<a name="line-119"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>max</span> <span class='hs-num'>0</span> <span class='hs-varop'>$</span> <span class='hs-layout'>(</span><span class='hs-varop'>*</span><span class='hs-varid'>fi</span> <span class='hs-layout'>(</span><span class='hs-varid'>pred</span> <span class='hs-varid'>nls</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>min</span> <span class='hs-num'>1</span> <span class='hs-varop'>$</span> <span class='hs-varid'>ix</span> <span class='hs-varop'>/</span> <span class='hs-varid'>fi</span> <span class='hs-varid'>mix</span>
<a name="line-120"></a> <span class='hs-varid'>rect</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rects</span> <span class='hs-varop'>!!</span> <span class='hs-varid'>maybe</span> <span class='hs-layout'>(</span><span class='hs-varid'>nls</span> <span class='hs-varop'>`div`</span> <span class='hs-num'>2</span><span class='hs-layout'>)</span> <span class='hs-varid'>round</span> <span class='hs-layout'>(</span><span class='hs-varid'>nextIx</span> <span class='hs-varop'>`fmap`</span> <span class='hs-varid'>state</span><span class='hs-layout'>)</span>
<a name="line-121"></a> <span class='hs-varid'>state'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>x</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-varid'>ov</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>ov</span><span class='hs-layout'>,</span><span class='hs-varid'>nextIx</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>pred</span> <span class='hs-varid'>nls</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>state</span>
<a name="line-122"></a> <span class='hs-varop'>`mplus`</span> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-conid'>True</span><span class='hs-layout'>,</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>nls</span> <span class='hs-varop'>/</span> <span class='hs-num'>2</span><span class='hs-layout'>,</span><span class='hs-varid'>pred</span> <span class='hs-varid'>nls</span><span class='hs-layout'>)</span>
<a name="line-123"></a> <span class='hs-varid'>ss'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>maybe</span> <span class='hs-varid'>ss</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>ss</span> <span class='hs-varop'>`either`</span> <span class='hs-varid'>const</span> <span class='hs-varid'>ssExt</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>zipRemain</span> <span class='hs-varid'>ss</span> <span class='hs-varid'>ssExt</span>
<a name="line-124"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>zip</span> <span class='hs-layout'>(</span><span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-varid'>integrate</span> <span class='hs-varid'>st</span><span class='hs-layout'>)</span> <span class='hs-varid'>rect</span><span class='hs-layout'>,</span> <span class='hs-conid'>Just</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Mosaic</span> <span class='hs-varid'>state'</span> <span class='hs-varid'>delta</span> <span class='hs-varid'>ss'</span><span class='hs-layout'>)</span>
<a name="line-125"></a>
<a name="line-126"></a><a name="zipRemain"></a><span class='hs-definition'>zipRemain</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Maybe</span> <span class='hs-layout'>(</span><span class='hs-conid'>Either</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-127"></a><span class='hs-definition'>zipRemain</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zipRemain</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span>
<a name="line-128"></a><span class='hs-definition'>zipRemain</span> <span class='hs-conid'>[]</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Nothing</span>
<a name="line-129"></a><span class='hs-definition'>zipRemain</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-130"></a><span class='hs-definition'>zipRemain</span> <span class='hs-varid'>x</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-131"></a>
<a name="line-132"></a><a name="changeMaster"></a><span class='hs-comment'>-- | These sample functions are meant to be applied to the list of window sizes</span>
<a name="line-133"></a><span class='hs-comment'>-- through the 'SlopeMod' message.</span>
<a name="line-134"></a><span class='hs-definition'>changeMaster</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>X</span> <span class='hs-conid'>()</span>
<a name="line-135"></a><span class='hs-definition'>changeMaster</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sendMessage</span> <span class='hs-varop'>.</span> <span class='hs-conid'>SlopeMod</span> <span class='hs-varop'>.</span> <span class='hs-varid'>onHead</span>
<a name="line-136"></a>
<a name="line-137"></a><a name="changeFocused"></a><span class='hs-comment'>-- | Apply a function to the Rational that represents the currently focused</span>
<a name="line-138"></a><span class='hs-comment'>-- window.</span>
<a name="line-139"></a><span class='hs-comment'>--</span>
<a name="line-140"></a><span class='hs-comment'>-- 'Expand' and 'Shrink' messages are responded to with @changeFocused</span>
<a name="line-141"></a><span class='hs-comment'>-- (*delta)@ or @changeFocused (delta/)@ where @delta@ is the first argument to</span>
<a name="line-142"></a><span class='hs-comment'>-- 'mosaic'.</span>
<a name="line-143"></a><span class='hs-comment'>--</span>
<a name="line-144"></a><span class='hs-comment'>-- This is exported because other functions (ex. @const 1@, @(+1)@) may be</span>
<a name="line-145"></a><span class='hs-comment'>-- useful to apply to the current area.</span>
<a name="line-146"></a><span class='hs-definition'>changeFocused</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>X</span> <span class='hs-conid'>()</span>
<a name="line-147"></a><span class='hs-definition'>changeFocused</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>withWindowSet</span> <span class='hs-varop'>$</span> <span class='hs-varid'>sendMessage</span> <span class='hs-varop'>.</span> <span class='hs-conid'>SlopeMod</span>
<a name="line-148"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>maybe</span> <span class='hs-varid'>id</span> <span class='hs-layout'>(</span><span class='hs-varid'>mulIx</span> <span class='hs-varop'>.</span> <span class='hs-varid'>length</span> <span class='hs-varop'>.</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-varid'>up</span><span class='hs-layout'>)</span>
<a name="line-149"></a> <span class='hs-varop'>.</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-varid'>stack</span> <span class='hs-varop'>.</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-varid'>workspace</span> <span class='hs-varop'>.</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-varid'>current</span>
<a name="line-150"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>mulIx</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>uncurry</span> <span class='hs-layout'>(</span><span class='hs-varop'>++</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>second</span> <span class='hs-layout'>(</span><span class='hs-varid'>onHead</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>splitAt</span> <span class='hs-varid'>i</span>
<a name="line-151"></a>
<a name="line-152"></a><a name="onHead"></a><span class='hs-definition'>onHead</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-153"></a><span class='hs-definition'>onHead</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>uncurry</span> <span class='hs-layout'>(</span><span class='hs-varop'>++</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>first</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>splitAt</span> <span class='hs-num'>1</span>
<a name="line-154"></a>
<a name="line-155"></a><a name="splits"></a><span class='hs-definition'>splits</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Rectangle</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-keyglyph'>[</span><span class='hs-conid'>Rectangle</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span>
<a name="line-156"></a><span class='hs-definition'>splits</span> <span class='hs-varid'>rect</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>reverse</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-varid'>snd</span> <span class='hs-varop'>.</span> <span class='hs-varid'>sortBy</span> <span class='hs-layout'>(</span><span class='hs-varid'>compare</span> <span class='hs-varop'>`on`</span> <span class='hs-varid'>fst</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-157"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>splitsL</span> <span class='hs-varid'>rect</span> <span class='hs-varop'>.</span> <span class='hs-varid'>makeTree</span> <span class='hs-varid'>snd</span> <span class='hs-varop'>.</span> <span class='hs-varid'>zip</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-keyglyph'>..</span><span class='hs-keyglyph'>]</span>
<a name="line-158"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>normalize</span> <span class='hs-varop'>.</span> <span class='hs-varid'>reverse</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-varid'>abs</span>
<a name="line-159"></a>
<a name="line-160"></a><a name="splitsL"></a><span class='hs-definition'>splitsL</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Rectangle</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Tree</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>Rational</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>Rectangle</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span>
<a name="line-161"></a><span class='hs-definition'>splitsL</span> <span class='hs-sel'>_rect</span> <span class='hs-conid'>Empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-162"></a><span class='hs-definition'>splitsL</span> <span class='hs-varid'>rect</span> <span class='hs-layout'>(</span><span class='hs-conid'>Leaf</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>rect</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span>
<a name="line-163"></a><span class='hs-definition'>splitsL</span> <span class='hs-varid'>rect</span> <span class='hs-layout'>(</span><span class='hs-conid'>Branch</span> <span class='hs-varid'>l</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-164"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>mkSplit</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>sumSnd</span> <span class='hs-varid'>l</span> <span class='hs-varop'>/</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>sumSnd</span> <span class='hs-varid'>l</span> <span class='hs-varop'>+</span> <span class='hs-varid'>sumSnd</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-varid'>rect</span>
<a name="line-165"></a> <span class='hs-varid'>sumSnd</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sum</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>snd</span>
<a name="line-166"></a> <span class='hs-layout'>(</span><span class='hs-varid'>rl</span><span class='hs-layout'>,</span><span class='hs-varid'>rr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>map</span> <span class='hs-varid'>mkSplit</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>splitVerticallyBy</span><span class='hs-layout'>,</span><span class='hs-varid'>splitHorizontallyBy</span><span class='hs-keyglyph'>]</span>
<a name="line-167"></a> <span class='hs-varid'>splitsL</span> <span class='hs-varid'>rl</span> <span class='hs-varid'>l</span> <span class='hs-varop'>`interleave`</span> <span class='hs-varid'>splitsL</span> <span class='hs-varid'>rr</span> <span class='hs-varid'>r</span>
<a name="line-168"></a>
<a name="line-169"></a><a name="interleave"></a><span class='hs-comment'>-- like zipWith (++), but when one list is shorter, its elements are duplicated</span>
<a name="line-170"></a><span class='hs-comment'>-- so that they match</span>
<a name="line-171"></a><span class='hs-definition'>interleave</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span>
<a name="line-172"></a><span class='hs-definition'>interleave</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>lx</span> <span class='hs-varop'>></span> <span class='hs-varid'>ly</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zc</span> <span class='hs-varid'>xs</span> <span class='hs-layout'>(</span><span class='hs-varid'>extend</span> <span class='hs-varid'>lx</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span>
<a name="line-173"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zc</span> <span class='hs-layout'>(</span><span class='hs-varid'>extend</span> <span class='hs-varid'>ly</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varid'>ys</span>
<a name="line-174"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>lx</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>length</span> <span class='hs-varid'>xs</span>
<a name="line-175"></a> <span class='hs-varid'>ly</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>length</span> <span class='hs-varid'>ys</span>
<a name="line-176"></a> <span class='hs-varid'>zc</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zipWith</span> <span class='hs-layout'>(</span><span class='hs-varop'>++</span><span class='hs-layout'>)</span>
<a name="line-177"></a>
<a name="line-178"></a> <span class='hs-varid'>extend</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-179"></a> <span class='hs-varid'>extend</span> <span class='hs-varid'>n</span> <span class='hs-varid'>pat</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-180"></a> <span class='hs-layout'>(</span><span class='hs-varid'>p</span><span class='hs-layout'>,</span><span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>zip</span> <span class='hs-varid'>pat</span> <span class='hs-varop'>$</span> <span class='hs-varid'>replicate</span> <span class='hs-varid'>m</span> <span class='hs-conid'>True</span> <span class='hs-varop'>++</span> <span class='hs-varid'>repeat</span> <span class='hs-conid'>False</span>
<a name="line-181"></a> <span class='hs-keyglyph'>[</span><span class='hs-varid'>p</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>e</span><span class='hs-keyglyph'>]</span> <span class='hs-varop'>++</span> <span class='hs-varid'>replicate</span> <span class='hs-varid'>d</span> <span class='hs-varid'>p</span>
<a name="line-182"></a> <span class='hs-keyword'>where</span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span><span class='hs-layout'>,</span><span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>n</span> <span class='hs-varop'>`divMod`</span> <span class='hs-varid'>length</span> <span class='hs-varid'>pat</span>
<a name="line-183"></a>
<a name="line-184"></a><a name="normalize"></a><span class='hs-definition'>normalize</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-185"></a><span class='hs-definition'>normalize</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sum</span> <span class='hs-varid'>x</span> <span class='hs-keyword'>in</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varop'>/</span><span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span>
<a name="line-186"></a>
<a name="line-187"></a><a name="Tree"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Tree</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Branch</span> <span class='hs-layout'>(</span><span class='hs-conid'>Tree</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Tree</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Leaf</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Empty</span>
<a name="line-188"></a>
<a name="line-189"></a><a name="instance%20Foldable%20Tree"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Foldable</span> <span class='hs-conid'>Tree</span> <span class='hs-keyword'>where</span>
<a name="line-190"></a> <span class='hs-varid'>foldMap</span> <span class='hs-sel'>_f</span> <span class='hs-conid'>Empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mempty</span>
<a name="line-191"></a> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Leaf</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span>
<a name="line-192"></a> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Branch</span> <span class='hs-varid'>l</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>l</span> <span class='hs-varop'>`mappend`</span> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>r</span>
<a name="line-193"></a>
<a name="line-194"></a><a name="instance%20Functor%20Tree"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-conid'>Tree</span> <span class='hs-keyword'>where</span>
<a name="line-195"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Leaf</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Leaf</span> <span class='hs-varop'>$</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span>
<a name="line-196"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Branch</span> <span class='hs-varid'>l</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Branch</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span>
<a name="line-197"></a> <span class='hs-varid'>fmap</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>Empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Empty</span>
<a name="line-198"></a>
<a name="line-199"></a><a name="instance%20Monoid%20(Tree%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Monoid</span> <span class='hs-layout'>(</span><span class='hs-conid'>Tree</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-200"></a> <span class='hs-varid'>mempty</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Empty</span>
<a name="line-201"></a> <span class='hs-varid'>mappend</span> <span class='hs-conid'>Empty</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span>
<a name="line-202"></a> <span class='hs-varid'>mappend</span> <span class='hs-varid'>x</span> <span class='hs-conid'>Empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span>
<a name="line-203"></a> <span class='hs-varid'>mappend</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Branch</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span>
<a name="line-204"></a>
<a name="line-205"></a><a name="makeTree"></a><span class='hs-definition'>makeTree</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varid'>a1</span><span class='hs-layout'>,</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>a1</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a1</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Tree</span> <span class='hs-varid'>a</span>
<a name="line-206"></a><span class='hs-definition'>makeTree</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Empty</span>
<a name="line-207"></a><span class='hs-definition'>makeTree</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>x</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Leaf</span> <span class='hs-varid'>x</span>
<a name="line-208"></a><span class='hs-definition'>makeTree</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Branch</span> <span class='hs-layout'>(</span><span class='hs-varid'>makeTree</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>makeTree</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-209"></a> <span class='hs-keyword'>where</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldr</span> <span class='hs-varid'>go</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>[]</span><span class='hs-layout'>,</span><span class='hs-conid'>[]</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-num'>0</span><span class='hs-layout'>,</span><span class='hs-num'>0</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span>
<a name="line-210"></a> <span class='hs-varid'>go</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>ls</span><span class='hs-layout'>,</span><span class='hs-varid'>rs</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>l</span><span class='hs-layout'>,</span><span class='hs-varid'>r</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-211"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>l</span> <span class='hs-varop'>></span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>ls</span><span class='hs-layout'>,</span><span class='hs-varid'>n</span><span class='hs-conop'>:</span><span class='hs-varid'>rs</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>l</span><span class='hs-layout'>,</span><span class='hs-varid'>f</span> <span class='hs-varid'>n</span><span class='hs-varop'>+</span><span class='hs-varid'>r</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-212"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-conop'>:</span><span class='hs-varid'>ls</span><span class='hs-layout'>,</span><span class='hs-varid'>rs</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>n</span><span class='hs-varop'>+</span><span class='hs-varid'>l</span><span class='hs-layout'>,</span><span class='hs-varid'>r</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
</pre></body>
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