aboutsummaryrefslogblamecommitdiffstats
path: root/XMonad/StackSet.hs
blob: 72c3eddfeacfeb3b7eac0fdb23cba75747d26afd (plain) (tree)
1
2
3
4
5
6
7
8
9

                              

                                                                             
                                 

                                          
  
                                 

                                      
  
 
                        

                         









                              
                                                                             

                          
                              


                                
                                                    


                                                          
                                                                           
                                                                                   

                                   
                                          

                                      
                                                                                                   

                                 



                        


                              
                                                  
                                                                  
                         


                                                         
  





                                                                        
  
                                                     
    


                                                  
  


                                                                  

          









                                                                                    
                                    
  
                                                                                   













                                                                      

            

                                                                  


                                                                   
                                                                   
                                          

         


                                                                        
                                                                     

            
 

                                                                        

                                                



                                                                     
 


                                                                                                     

                                                                                         
                                        
 
                                                    


                                                                   
                             
 
    
                                                    
  
                                                                                      
                             
 
                                      


                                                                    
    
                                                           
                                                       
                                                        
                                                               

                                                            




                            

                                                                      
                                                                


                                                                     


                                                                       
                             
 
 


                                                               
 
                                                                        
                
 




                                                                     


                                                                                
                                                              

                                                                         
                                                                                     
                                                                            
                                                           
                                                         
 
    
                                                       
                                                                

                                                                       

                                                                       
 
                                                                       
        
                                       


                                                        
                                                                                         
 
                                                                               
                                                                       
                                                 
                                                                                   
 
                                                   
 
                                       
 

                                                                        

                                                         
 







                                                                             
                                                                             
               






                                                                                             
 
                                                                        
            

                                                                   
                                        
                                                              
                                                                                             

                                                                        
                   
 
    
                                                               
                                                                


                                                                      
                                                       
                                                        
 
    
                                                                                    
  
                                                                                                       

                                                                                      
 
    


                                                                               
                                                                             


                                     
                                                            
                                                               
  
                                      
                                    
 
    
                                         

                           

                                            

                                                     
                                    
                               
 
    


                                                                     
                                       
                              
                                           

    
                                                                              
                                                                          
  
                                                   

                                                                             
                                                                      
                                                               
                                     

    




                                                                          
                                   
                         
 
    
                                     
  
                                                                  
                                                                    
                                                               

                                       


                                                                       
  
                                                                                  
                            
                              
 

                                                           
 


                                                         

                                                                          
                                                                     
 
                             

                                                      
 
                                                          
                                  
                                            
 
  
                                                                     
                                    
  
                                                                                    
                                      
                                                     
                                    
                                                                          
 
                                                 
                                                     

                                 
                                                    
                                                      

                                                                            
                                                                       


                                                                



                                                    
                                                
                                                     

                                           
                                                     
                                                                         

                                                            
 
                                                                     
                                                                
             





                                                                                     
 
                                                            
                                                                                                  



                                                            
 
                                                         





                                                                                              
                                           
                                                  
                                 

                                               

                                                                    

                                                      
                                                  

                                                            

                                                                        
                  
 
    



                                                                    




                                                                      
                                                          
  
                                                                   
                                               
                                                                                           
 
                                                                
                                                                            
                            
                               
 
    


                                                                             
                                                         
  
                                               
  
                                             
  
                                                                  



                                                                       
  

                                                   
                                                                          

                             
                                                                                      
                                      
                                                                          


                                                                 
                                                                           
                                                                                          
 

                                                                        
                                                                    
                                                                 
                                                                                 
                                                        
 
                                          
                                                                
                                                   
 
                                                                        
             
 
                                                         

                                                                                
                                                        

                                            
                                                                        
 
                                                                     
 








                                                                               
                                            
                                                         



                                                                        
  
                                                                        


                                                                          
                                                                    

                                                                  
                                                                   
  
                                                                               
                                                   
 





                                                                              
                                                                                             







                                                                                
{-# LANGUAGE PatternGuards #-}

-----------------------------------------------------------------------------
-- |
-- Module      :  XMonad.StackSet
-- Copyright   :  (c) Don Stewart 2007
-- License     :  BSD3-style (see LICENSE)
--
-- Maintainer  :  dons@galois.com
-- Stability   :  experimental
-- Portability :  portable, Haskell 98
--

module XMonad.StackSet (
        -- * Introduction
        -- $intro

        -- ** The Zipper
        -- $zipper

        -- ** Xinerama support
        -- $xinerama

        -- ** Master and Focus
        -- $focus

        StackSet(..), Workspace(..), Screen(..), Stack(..), RationalRect(..),
        -- *  Construction
        -- $construction
        new, view, greedyView,
        -- * Xinerama operations
        -- $xinerama
        lookupWorkspace,
        screens, workspaces, allWindows, currentTag,
        -- *  Operations on the current stack
        -- $stackOperations
        peek, index, integrate, integrate', differentiate,
        focusUp, focusDown, focusUp', focusDown', focusMaster, focusWindow,
        tagMember, renameTag, ensureTags, member, findTag, mapWorkspace, mapLayout,
        -- * Modifying the stackset
        -- $modifyStackset
        insertUp, delete, delete', filter,
        -- * Setting the master window
        -- $settingMW
        swapUp, swapDown, swapMaster, shiftMaster, modify, modify', float, sink, -- needed by users
        -- * Composite operations
        -- $composite
        shift, shiftWin,

        -- for testing
        abort
    ) where

import Prelude hiding (filter)
import Data.Maybe   (listToMaybe,isJust,fromMaybe)
import qualified Data.List as L (deleteBy,find,splitAt,filter,nub)
import Data.List ( (\\) )
import qualified Data.Map  as M (Map,insert,delete,empty)

-- $intro
--
-- The 'StackSet' data type encodes a window manager abstraction. The
-- window manager is a set of virtual workspaces. On each workspace is a
-- stack of windows. A given workspace is always current, and a given
-- window on each workspace has focus. The focused window on the current
-- workspace is the one which will take user input. It can be visualised
-- as follows:
--
-- > Workspace  { 0*}   { 1 }   { 2 }   { 3 }   { 4 }
-- >
-- > Windows    [1      []      [3*     [6*]    []
-- >            ,2*]            ,4
-- >                            ,5]
--
-- Note that workspaces are indexed from 0, windows are numbered
-- uniquely. A '*' indicates the window on each workspace that has
-- focus, and which workspace is current.

-- $zipper
--
-- We encode all the focus tracking directly in the data structure, with a 'zipper':
--
--    A Zipper is essentially an `updateable' and yet pure functional
--    cursor into a data structure. Zipper is also a delimited
--    continuation reified as a data structure.
--
--    The Zipper lets us replace an item deep in a complex data
--    structure, e.g., a tree or a term, without an  mutation.  The
--    resulting data structure will share as much of its components with
--    the old structure as possible.
--
--      Oleg Kiselyov, 27 Apr 2005, haskell\@, "Zipper as a delimited continuation"
--
-- We use the zipper to keep track of the focused workspace and the
-- focused window on each workspace, allowing us to have correct focus
-- by construction. We closely follow Huet's original implementation:
--
--      G. Huet, /Functional Pearl: The Zipper/,
--      1997, J. Functional Programming 75(5):549-554.
-- and:
--      R. Hinze and J. Jeuring, /Functional Pearl: The Web/.
--
-- and Conor McBride's zipper differentiation paper.
-- Another good reference is:
--
--      The Zipper, Haskell wikibook

-- $xinerama
-- Xinerama in X11 lets us view multiple virtual workspaces
-- simultaneously. While only one will ever be in focus (i.e. will
-- receive keyboard events), other workspaces may be passively
-- viewable.  We thus need to track which virtual workspaces are
-- associated (viewed) on which physical screens.  To keep track of
-- this, 'StackSet' keeps separate lists of visible but non-focused
-- workspaces, and non-visible workspaces.

-- $focus
--
-- Each stack tracks a focused item, and for tiling purposes also tracks
-- a 'master' position. The connection between 'master' and 'focus'
-- needs to be well defined, particularly in relation to 'insert' and
-- 'delete'.
--

------------------------------------------------------------------------
-- |
-- A cursor into a non-empty list of workspaces.
--
-- We puncture the workspace list, producing a hole in the structure
-- used to track the currently focused workspace. The two other lists
-- that are produced are used to track those workspaces visible as
-- Xinerama screens, and those workspaces not visible anywhere.

data StackSet i l a sid sd =
    StackSet { current  :: !(Screen i l a sid sd)    -- ^ currently focused workspace
             , visible  :: [Screen i l a sid sd]     -- ^ non-focused workspaces, visible in xinerama
             , hidden   :: [Workspace i l a]         -- ^ workspaces not visible anywhere
             , floating :: M.Map a RationalRect      -- ^ floating windows
             } deriving (Show, Read, Eq)

-- | Visible workspaces, and their Xinerama screens.
data Screen i l a sid sd = Screen { workspace :: !(Workspace i l a)
                                  , screen :: !sid
                                  , screenDetail :: !sd }
    deriving (Show, Read, Eq)

-- |
-- A workspace is just a tag, a layout, and a stack.
--
data Workspace i l a = Workspace  { tag :: !i, layout :: l, stack :: Maybe (Stack a) }
    deriving (Show, Read, Eq)

-- | A structure for window geometries
data RationalRect = RationalRect Rational Rational Rational Rational
    deriving (Show, Read, Eq)

-- |
-- A stack is a cursor onto a (possibly empty) window list.
-- The data structure tracks focus by construction, and
-- the master window is by convention the top-most item.
-- Focus operations will not reorder the list that results from
-- flattening the cursor. The structure can be envisaged as:
--
-- >    +-- master:  < '7' >
-- > up |            [ '2' ]
-- >    +---------   [ '3' ]
-- > focus:          < '4' >
-- > dn +----------- [ '8' ]
--
-- A 'Stack' can be viewed as a list with a hole punched in it to make
-- the focused position. Under the zipper\/calculus view of such
-- structures, it is the differentiation of a [a], and integrating it
-- back has a natural implementation used in 'index'.
--
data Stack a = Stack { focus  :: !a        -- focused thing in this set
                     , up     :: [a]       -- clowns to the left
                     , down   :: [a] }     -- jokers to the right
    deriving (Show, Read, Eq)


-- | this function indicates to catch that an error is expected
abort :: String -> a
abort x = error $ "xmonad: StackSet: " ++ x

-- ---------------------------------------------------------------------
-- $construction

-- | /O(n)/. Create a new stackset, of empty stacks, with given tags,
-- with physical screens whose descriptions are given by 'm'. The
-- number of physical screens (@length 'm'@) should be less than or
-- equal to the number of workspace tags.  The first workspace in the
-- list will be current.
--
-- Xinerama: Virtual workspaces are assigned to physical screens, starting at 0.
--
new :: (Integral s) => l -> [i] -> [sd] -> StackSet i l a s sd
new l wids m | not (null wids) && length m <= length wids && not (null m)
  = StackSet cur visi unseen M.empty
  where (seen,unseen) = L.splitAt (length m) $ map (\i -> Workspace i l Nothing) wids
        (cur:visi)    = [ Screen i s sd |  (i, s, sd) <- zip3 seen [0..] m ]
                -- now zip up visibles with their screen id
new _ _ _ = abort "non-positive argument to StackSet.new"

-- |
-- /O(w)/. Set focus to the workspace with index \'i\'.
-- If the index is out of range, return the original 'StackSet'.
--
-- Xinerama: If the workspace is not visible on any Xinerama screen, it
-- becomes the current screen. If it is in the visible list, it becomes
-- current.

view :: (Eq s, Eq i) => i -> StackSet i l a s sd -> StackSet i l a s sd
view i s
    | i == currentTag s = s  -- current

    | Just x <- L.find ((i==).tag.workspace) (visible s)
    -- if it is visible, it is just raised
    = s { current = x, visible = current s : L.deleteBy (equating screen) x (visible s) }

    | Just x <- L.find ((i==).tag)           (hidden  s) -- must be hidden then
    -- if it was hidden, it is raised on the xine screen currently used
    = s { current = (current s) { workspace = x }
        , hidden = workspace (current s) : L.deleteBy (equating tag) x (hidden s) }

    | otherwise = s -- not a member of the stackset

  where equating f = \x y -> f x == f y

    -- 'Catch'ing this might be hard. Relies on monotonically increasing
    -- workspace tags defined in 'new'
    --
    -- and now tags are not monotonic, what happens here?

-- |
-- Set focus to the given workspace.  If that workspace does not exist
-- in the stackset, the original workspace is returned.  If that workspace is
-- 'hidden', then display that workspace on the current screen, and move the
-- current workspace to 'hidden'.  If that workspace is 'visible' on another
-- screen, the workspaces of the current screen and the other screen are
-- swapped.

greedyView :: (Eq s, Eq i) => i -> StackSet i l a s sd -> StackSet i l a s sd
greedyView w ws
     | any wTag (hidden ws) = view w ws
     | (Just s) <- L.find (wTag . workspace) (visible ws)
                            = ws { current = (current ws) { workspace = workspace s }
                                 , visible = s { workspace = workspace (current ws) }
                                           : L.filter (not . wTag . workspace) (visible ws) }
     | otherwise = ws
   where wTag = (w == ) . tag

-- ---------------------------------------------------------------------
-- $xinerama

-- | Find the tag of the workspace visible on Xinerama screen 'sc'.
-- 'Nothing' if screen is out of bounds.
lookupWorkspace :: Eq s => s -> StackSet i l a s sd -> Maybe i
lookupWorkspace sc w = listToMaybe [ tag i | Screen i s _ <- current w : visible w, s == sc ]

-- ---------------------------------------------------------------------
-- $stackOperations

-- |
-- The 'with' function takes a default value, a function, and a
-- StackSet. If the current stack is Nothing, 'with' returns the
-- default value. Otherwise, it applies the function to the stack,
-- returning the result. It is like 'maybe' for the focused workspace.
--
with :: b -> (Stack a -> b) -> StackSet i l a s sd -> b
with dflt f = maybe dflt f . stack . workspace . current

-- |
-- Apply a function, and a default value for 'Nothing', to modify the current stack.
--
modify :: Maybe (Stack a) -> (Stack a -> Maybe (Stack a)) -> StackSet i l a s sd -> StackSet i l a s sd
modify d f s = s { current = (current s)
                        { workspace = (workspace (current s)) { stack = with d f s }}}

-- |
-- Apply a function to modify the current stack if it isn't empty, and we don't
--  want to empty it.
--
modify' :: (Stack a -> Stack a) -> StackSet i l a s sd -> StackSet i l a s sd
modify' f = modify Nothing (Just . f)

-- |
-- /O(1)/. Extract the focused element of the current stack.
-- Return 'Just' that element, or 'Nothing' for an empty stack.
--
peek :: StackSet i l a s sd -> Maybe a
peek = with Nothing (return . focus)

-- |
-- /O(n)/. Flatten a 'Stack' into a list.
--
integrate :: Stack a -> [a]
integrate (Stack x l r) = reverse l ++ x : r

-- |
-- /O(n)/ Flatten a possibly empty stack into a list.
integrate' :: Maybe (Stack a) -> [a]
integrate' = maybe [] integrate

-- |
-- /O(n)/. Turn a list into a possibly empty stack (i.e., a zipper):
-- the first element of the list is current, and the rest of the list
-- is down.
differentiate :: [a] -> Maybe (Stack a)
differentiate []     = Nothing
differentiate (x:xs) = Just $ Stack x [] xs

-- |
-- /O(n)/. 'filter p s' returns the elements of 's' such that 'p' evaluates to
-- 'True'.  Order is preserved, and focus moves as described for 'delete'.
--
filter :: (a -> Bool) -> Stack a -> Maybe (Stack a)
filter p (Stack f ls rs) = case L.filter p (f:rs) of
    f':rs' -> Just $ Stack f' (L.filter p ls) rs'    -- maybe move focus down
    []     -> case L.filter p ls of                  -- filter back up
                    f':ls' -> Just $ Stack f' ls' [] -- else up
                    []     -> Nothing

-- |
-- /O(s)/. Extract the stack on the current workspace, as a list.
-- The order of the stack is determined by the master window -- it will be
-- the head of the list. The implementation is given by the natural
-- integration of a one-hole list cursor, back to a list.
--
index :: StackSet i l a s sd -> [a]
index = with [] integrate

-- |
-- /O(1), O(w) on the wrapping case/.
--
-- focusUp, focusDown. Move the window focus up or down the stack,
-- wrapping if we reach the end. The wrapping should model a 'cycle'
-- on the current stack. The 'master' window, and window order,
-- are unaffected by movement of focus.
--
-- swapUp, swapDown, swap the neighbour in the stack ordering, wrapping
-- if we reach the end. Again the wrapping model should 'cycle' on
-- the current stack.
--
focusUp, focusDown, swapUp, swapDown :: StackSet i l a s sd -> StackSet i l a s sd
focusUp   = modify' focusUp'
focusDown = modify' focusDown'

swapUp    = modify' swapUp'
swapDown  = modify' (reverseStack . swapUp' . reverseStack)

-- | Variants of 'focusUp' and 'focusDown' that work on a
-- 'Stack' rather than an entire 'StackSet'.
focusUp', focusDown' :: Stack a -> Stack a
focusUp' (Stack t (l:ls) rs) = Stack l ls (t:rs)
focusUp' (Stack t []     rs) = Stack x xs [] where (x:xs) = reverse (t:rs)
focusDown'                   = reverseStack . focusUp' . reverseStack

swapUp' :: Stack a -> Stack a
swapUp'  (Stack t (l:ls) rs) = Stack t ls (l:rs)
swapUp'  (Stack t []     rs) = Stack t (reverse rs) []

-- | reverse a stack: up becomes down and down becomes up.
reverseStack :: Stack a -> Stack a
reverseStack (Stack t ls rs) = Stack t rs ls

--
-- | /O(1) on current window, O(n) in general/. Focus the window 'w',
-- and set its workspace as current.
--
focusWindow :: (Eq s, Eq a, Eq i) => a -> StackSet i l a s sd -> StackSet i l a s sd
focusWindow w s | Just w == peek s = s
                | otherwise        = fromMaybe s $ do
                    n <- findTag w s
                    return $ until ((Just w ==) . peek) focusUp (view n s)

-- | Get a list of all screens in the 'StackSet'.
screens :: StackSet i l a s sd -> [Screen i l a s sd]
screens s = current s : visible s

-- | Get a list of all workspaces in the 'StackSet'.
workspaces :: StackSet i l a s sd -> [Workspace i l a]
workspaces s = workspace (current s) : map workspace (visible s) ++ hidden s

-- | Get a list of all windows in the 'StackSet' in no particular order
allWindows :: Eq a => StackSet i l a s sd -> [a]
allWindows = L.nub . concatMap (integrate' . stack) . workspaces

-- | Get the tag of the currently focused workspace.
currentTag :: StackSet i l a s sd -> i
currentTag = tag . workspace . current

-- | Is the given tag present in the 'StackSet'?
tagMember :: Eq i => i -> StackSet i l a s sd -> Bool
tagMember t = elem t . map tag . workspaces

-- | Rename a given tag if present in the 'StackSet'.
renameTag :: Eq i => i -> i -> StackSet i l a s sd -> StackSet i l a s sd
renameTag o n = mapWorkspace rename
    where rename w = if tag w == o then w { tag = n } else w

-- | Ensure that a given set of workspace tags is present by renaming
-- existing workspaces and\/or creating new hidden workspaces as
-- necessary.
ensureTags :: Eq i => l -> [i] -> StackSet i l a s sd -> StackSet i l a s sd
ensureTags l allt st = et allt (map tag (workspaces st) \\ allt) st
    where et [] _ s = s
          et (i:is) rn s | i `tagMember` s = et is rn s
          et (i:is) [] s = et is [] (s { hidden = Workspace i l Nothing : hidden s })
          et (i:is) (r:rs) s = et is rs $ renameTag r i s

-- | Map a function on all the workspaces in the 'StackSet'.
mapWorkspace :: (Workspace i l a -> Workspace i l a) -> StackSet i l a s sd -> StackSet i l a s sd
mapWorkspace f s = s { current = updScr (current s)
                     , visible = map updScr (visible s)
                     , hidden  = map f (hidden s) }
    where updScr scr = scr { workspace = f (workspace scr) }

-- | Map a function on all the layouts in the 'StackSet'.
mapLayout :: (l -> l') -> StackSet i l a s sd -> StackSet i l' a s sd
mapLayout f (StackSet v vs hs m) = StackSet (fScreen v) (map fScreen vs) (map fWorkspace hs) m
 where
    fScreen (Screen ws s sd) = Screen (fWorkspace ws) s sd
    fWorkspace (Workspace t l s) = Workspace t (f l) s

-- | /O(n)/. Is a window in the 'StackSet'?
member :: Eq a => a -> StackSet i l a s sd -> Bool
member a s = isJust (findTag a s)

-- | /O(1) on current window, O(n) in general/.
-- Return 'Just' the workspace tag of the given window, or 'Nothing'
-- if the window is not in the 'StackSet'.
findTag :: Eq a => a -> StackSet i l a s sd -> Maybe i
findTag a s = listToMaybe
    [ tag w | w <- workspaces s, has a (stack w) ]
    where has _ Nothing         = False
          has x (Just (Stack t l r)) = x `elem` (t : l ++ r)

-- ---------------------------------------------------------------------
-- $modifyStackset

-- |
-- /O(n)/. (Complexity due to duplicate check). Insert a new element
-- into the stack, above the currently focused element. The new
-- element is given focus; the previously focused element is moved
-- down.
--
-- If the element is already in the stackset, the original stackset is
-- returned unmodified.
--
-- Semantics in Huet's paper is that insert doesn't move the cursor.
-- However, we choose to insert above, and move the focus.
--
insertUp :: Eq a => a -> StackSet i l a s sd -> StackSet i l a s sd
insertUp a s = if member a s then s else insert
  where insert = modify (Just $ Stack a [] []) (\(Stack t l r) -> Just $ Stack a l (t:r)) s

-- insertDown :: a -> StackSet i l a s sd -> StackSet i l a s sd
-- insertDown a = modify (Stack a [] []) $ \(Stack t l r) -> Stack a (t:l) r
-- Old semantics, from Huet.
-- >    w { down = a : down w }

-- |
-- /O(1) on current window, O(n) in general/. Delete window 'w' if it exists.
-- There are 4 cases to consider:
--
--   * delete on an 'Nothing' workspace leaves it Nothing
--
--   * otherwise, try to move focus to the down
--
--   * otherwise, try to move focus to the up
--
--   * otherwise, you've got an empty workspace, becomes 'Nothing'
--
-- Behaviour with respect to the master:
--
--   * deleting the master window resets it to the newly focused window
--
--   * otherwise, delete doesn't affect the master.
--
delete :: (Ord a, Eq s) => a -> StackSet i l a s sd -> StackSet i l a s sd
delete w = sink w . delete' w

-- | Only temporarily remove the window from the stack, thereby not destroying special
-- information saved in the 'Stackset'
delete' :: (Eq a, Eq s) => a -> StackSet i l a s sd -> StackSet i l a s sd
delete' w s = s { current = removeFromScreen        (current s)
                , visible = map removeFromScreen    (visible s)
                , hidden  = map removeFromWorkspace (hidden  s) }
    where removeFromWorkspace ws = ws { stack = stack ws >>= filter (/=w) }
          removeFromScreen scr   = scr { workspace = removeFromWorkspace (workspace scr) }

------------------------------------------------------------------------

-- | Given a window, and its preferred rectangle, set it as floating
-- A floating window should already be managed by the 'StackSet'.
float :: Ord a => a -> RationalRect -> StackSet i l a s sd -> StackSet i l a s sd
float w r s = s { floating = M.insert w r (floating s) }

-- | Clear the floating status of a window
sink :: Ord a => a -> StackSet i l a s sd -> StackSet i l a s sd
sink w s = s { floating = M.delete w (floating s) }

------------------------------------------------------------------------
-- $settingMW

-- | /O(s)/. Set the master window to the focused window.
-- The old master window is swapped in the tiling order with the focused window.
-- Focus stays with the item moved.
swapMaster :: StackSet i l a s sd -> StackSet i l a s sd
swapMaster = modify' $ \c -> case c of
    Stack _ [] _  -> c    -- already master.
    Stack t ls rs -> Stack t [] (xs ++ x : rs) where (x:xs) = reverse ls

-- natural! keep focus, move current to the top, move top to current.

-- | /O(s)/. Set the master window to the focused window.
-- The other windows are kept in order and shifted down on the stack, as if you
-- just hit mod-shift-k a bunch of times.
-- Focus stays with the item moved.
shiftMaster :: StackSet i l a s sd -> StackSet i l a s sd
shiftMaster = modify' $ \c -> case c of
    Stack _ [] _ -> c     -- already master.
    Stack t ls rs -> Stack t [] (reverse ls ++ rs)

-- | /O(s)/. Set focus to the master window.
focusMaster :: StackSet i l a s sd -> StackSet i l a s sd
focusMaster = modify' $ \c -> case c of
    Stack _ [] _  -> c
    Stack t ls rs -> Stack x [] (xs ++ t : rs) where (x:xs) = reverse ls

--
-- ---------------------------------------------------------------------
-- $composite

-- | /O(w)/. shift. Move the focused element of the current stack to stack
-- 'n', leaving it as the focused element on that stack. The item is
-- inserted above the currently focused element on that workspace.
-- The actual focused workspace doesn't change. If there is no
-- element on the current stack, the original stackSet is returned.
--
shift :: (Ord a, Eq s, Eq i) => i -> StackSet i l a s sd -> StackSet i l a s sd
shift n s = maybe s (\w -> shiftWin n w s) (peek s)

-- | /O(n)/. shiftWin. Searches for the specified window 'w' on all workspaces
-- of the stackSet and moves it to stack 'n', leaving it as the focused
-- element on that stack. The item is inserted above the currently
-- focused element on that workspace.
-- The actual focused workspace doesn't change. If the window is not
-- found in the stackSet, the original stackSet is returned.
shiftWin :: (Ord a, Eq a, Eq s, Eq i) => i -> a -> StackSet i l a s sd -> StackSet i l a s sd
shiftWin n w s = case findTag w s of
                    Just from | n `tagMember` s && n /= from -> go from s
                    _                                        -> s
 where go from = onWorkspace n (insertUp w) . onWorkspace from (delete' w)

onWorkspace :: (Eq i, Eq s) => i -> (StackSet i l a s sd -> StackSet i l a s sd)
            -> (StackSet i l a s sd -> StackSet i l a s sd)
onWorkspace n f s = view (currentTag s) . f . view n $ s