path: root/MetaTile/Operations.hs

{-# OPTIONS_GHC -fno-warn-orphans #-}
{-# LANGUAGE FlexibleInstances, MultiParamTypeClasses, PatternGuards, TypeSynonymInstances #-}

-- --------------------------------------------------------------------------
-- |
-- Module      :  MetaTile.Operations
-- Copyright   :  (c) Spencer Janssen 2007
-- License     :  BSD3-style (see LICENSE)
--
-- Maintainer  :  dons@cse.unsw.edu.au
-- Stability   :  unstable
-- Portability :  not portable, Typeable deriving, mtl, posix
--
-- Operations.
--
-----------------------------------------------------------------------------

module MetaTile.Operations where

import MetaTile.Core
import MetaTile.Layout (Full(..))
import qualified MetaTile.StackSet as W

import Data.Maybe
import Data.Monoid          (Endo(..))
import Data.List            (nub, (\\), find)
import Data.Bits            ((.|.), (.&.), complement, testBit)
import Data.Ratio
import qualified Data.Map as M

import Control.Applicative
import Control.Arrow ((&&&))
import Control.Monad.Reader
import Control.Monad.State
import qualified Control.Exception.Extensible as C

import System.Posix.Process (executeFile)
import Graphics.X11.Xlib
import Graphics.X11.Xinerama (getScreenInfo)
import Graphics.X11.Xlib.Extras

-- ---------------------------------------------------------------------
-- |
-- Window manager operations
-- manage. Add a new window to be managed in the current workspace.
-- Bring it into focus.
--
-- Whether the window is already managed, or not, it is mapped, has its
-- border set, and its event mask set.
--
manage :: Window -> X ()
manage w = whenX (not <$> isClient w) $ do
    mh <- asks (manageHook . config)
    g <- appEndo <$> userCodeDef (Endo id) (runQuery mh w)
    windows (g . W.insertUp w)

-- | unmanage. A window no longer exists, remove it from the window
-- list, on whatever workspace it is.
--
unmanage :: Window -> X ()
unmanage = windows . W.delete

-- | Kill the specified window. If we do kill it, we'll get a
-- delete notify back from X.
--
-- There are two ways to delete a window. Either just kill it, or if it
-- supports the delete protocol, send a delete event (e.g. firefox)
--
killWindow :: Window -> X ()
killWindow w = withDisplay $ \d -> do
    wmdelt <- atom_WM_DELETE_WINDOW  ;  wmprot <- atom_WM_PROTOCOLS

    protocols <- io $ getWMProtocols d w
    io $ if wmdelt `elem` protocols
        then allocaXEvent $ \ev -> do
                setEventType ev clientMessage
                setClientMessageEvent ev w wmprot 32 wmdelt 0
                sendEvent d w False noEventMask ev
        else killClient d w >> return ()

-- | Kill the currently focused client.
kill :: X ()
kill = withFocused killWindow

-- ---------------------------------------------------------------------
-- Managing windows

-- | windows. Modify the current window list with a pure function, and refresh
windows :: (WindowSet -> WindowSet) -> X ()
windows f = do
    XState { windowset = old } <- get
    let oldvisible = concatMap (W.integrate' . W.stack . W.screenWorkspace) $ W.screens old
        newwindows = W.allWindows ws \\ W.allWindows old
        ws = f old
    XConf { display = d, normalBorder = nbc, focusedBorder = fbc } <- ask

    mapM_ setInitialProperties newwindows

    whenJust (W.peek old) $ \otherw -> setFrameBackground d otherw nbc
    modify (\s -> s { windowset = ws })

    -- notify non visibility
    let tags_oldvisible = map (W.tag . W.screenWorkspace) $ W.screens old
        gottenhidden    = filter (flip elem tags_oldvisible . W.tag) $ W.hidden ws
    mapM_ (sendMessageWithNoRefresh Hide) gottenhidden

    -- for each workspace, layout the currently visible workspaces
    let allscreens     = W.screens ws
        summed_visible = scanl (++) [] $ map (W.integrate' . W.stack . W.screenWorkspace) allscreens
    rects <- fmap concat $ forM (zip allscreens summed_visible) $ \ (w, vis) -> do
        let wsp   = W.screenWorkspace w
            this  = W.view n ws
            n     = W.tag wsp
            tiled = (W.stack . W.screenWorkspace . W.current $ this)
                    >>= W.filter (`notElem` vis)
            viewrect = screenRect $ W.screenDetail w

        -- just the tiled windows:
        -- now tile the windows on this workspace, modified by the gap
        (rs, ml') <- runBorderLayout wsp { W.stack = tiled } viewrect `catchX`
                     runBorderLayout wsp { W.stack = tiled, W.layout = Layout Full } viewrect
        updateLayout n ml'

        io $ restackWindows d (map fst3 rs)
        -- return the visible windows for this workspace:
        return rs

    let visible = map fst3 rects

    mapM_ (uncurry3 tileWindow) rects

    whenJust (W.peek ws) $ \w -> setFrameBackground d w fbc

    mapM_ reveal visible
    setTopFocus

    -- hide every window that was potentially visible before, but is not
    -- given a position by a layout now.
    mapM_ hide (nub (oldvisible ++ newwindows) \\ visible)

    -- all windows that are no longer in the windowset are marked as
    -- withdrawn, it is important to do this after the above, otherwise 'hide'
    -- will overwrite withdrawnState with iconicState
    mapM_ (flip setWMState withdrawnState) (W.allWindows old \\ W.allWindows ws)

    isMouseFocused <- asks mouseFocused
    unless isMouseFocused $ clearEvents enterWindowMask
    asks (logHook . config) >>= userCodeDef ()
  where
    fst3 :: (a, b, c) -> a
    fst3 (a, _, _) = a

    uncurry3 :: (a -> b -> c -> d) -> (a, b, c) -> d
    uncurry3 x (a, b, c) = x a b c

    setFrameBackground :: Display -> Window -> Pixel -> X ()
    setFrameBackground d w p = do
      frame <- getsWindowState wsFrame w
      io $ do
        setWindowBackground d frame p
        clearWindow d frame

-- | Produce the actual rectangle from a screen and a ratio on that screen.
scaleRationalRect :: Rectangle -> W.RationalRect -> Rectangle
scaleRationalRect (Rectangle sx sy sw sh) (W.RationalRect rx ry rw rh)
 = Rectangle (sx + scale sw rx) (sy + scale sh ry) (scale sw rw) (scale sh rh)
 where scale s r = floor (toRational s * r)

-- | setWMState.  set the WM_STATE property
setWMState :: Window -> Int -> X ()
setWMState w v = withDisplay $ \dpy -> do
    a <- atom_WM_STATE
    io $ changeProperty32 dpy w a a propModeReplace [fromIntegral v, fromIntegral none]

-- | hide. Hide a window by unmapping it, and setting Iconified.
hide :: Window -> X ()
hide w = whenX (getsWindowState wsMapped w) $ withDisplay $ \d -> do
    (cMask,fMask) <- asks $ (clientMask &&& frameMask) . config
    frame <- getsWindowState wsFrame w
    io $ do selectInput d w (cMask .&. complement structureNotifyMask)
            selectInput d frame (fMask .&. complement structureNotifyMask)
            unmapWindow d frame
            selectInput d frame fMask
            selectInput d w cMask
    setWMState w iconicState
    -- this part is key: we increment the waitingUnmap counter to distinguish
    -- between client and xmonad initiated unmaps.
    modifyWindowState (\ws -> ws { wsMapped       = False
                                 , wsWaitingUnmap = (wsWaitingUnmap ws) + 1 }) w

configureClientWindow :: Window -> X ()
configureClientWindow w = withDisplay $ \d -> do
    frame <- getsWindowState wsFrame w
    Just bw <- getsFrameState fsBorderWidth frame
    (_, x, y, width, height, _, _) <- io $ getGeometry d frame
    let least1 n = max 1 n
        x' = x + (fi $ bwLeft bw)
        y' = y + (fi $ bwTop bw)
        width' = least1 (width - bwLeft bw - bwRight bw)
        height' = least1 (height - bwTop bw - bwBottom bw)
    io $ do
        moveResizeWindow d w (fi $ bwLeft bw) (fi $ bwTop bw) width' height'
        -- send absolute ConfigureNotify
        allocaXEvent $ \event -> do
            setEventType event configureNotify
            setConfigureEvent event w w (fi x') (fi y') (fi width') (fi height') 0 none False
            sendEvent d w False 0 event
  where
    fi :: (Integral a, Num b) => a -> b
    fi = fromIntegral

-- | reveal. Show a window by mapping it and setting Normal
-- this is harmless if the window was already visible
reveal :: Window -> X ()
reveal w = withDisplay $ \d -> do
    setWMState w normalState
    io $ mapWindow d w
    whenX (isClient w) $ do
        configureClientWindow w
        getsWindowState wsFrame w >>= io . mapWindow d
        modifyWindowState (\ws -> ws { wsMapped = True }) w

-- | Set some properties when we initially gain control of a window
setInitialProperties :: Window -> X ()
setInitialProperties w = withDisplay $ \d -> do
    setWMState w iconicState
    asks (clientMask . config) >>= io . selectInput d w
    io $ setWindowBorderWidth d w 0

-- | refresh. Render the currently visible workspaces, as determined by
-- the 'StackSet'. Also, set focus to the focused window.
--
-- This is our 'view' operation (MVC), in that it pretty prints our model
-- with X calls.
--
refresh :: X ()
refresh = windows id

-- | clearEvents.  Remove all events of a given type from the event queue.
clearEvents :: EventMask -> X ()
clearEvents mask = withDisplay $ \d -> io $ do
    sync d False
    allocaXEvent $ \p -> fix $ \again -> do
        more <- checkMaskEvent d mask p
        when more again -- beautiful

-- | tileWindow. Moves and resizes w such that it fits inside the given
-- rectangle, including its border.
tileWindow :: Window -> Rectangle -> BorderWidth -> X ()
tileWindow w r bw = withDisplay $ \d -> do
    -- give all windows at least 1x1 pixels
    let least x | x <= 0  = 1
                | otherwise  = x
    frame <- getsWindowState wsFrame w
    modifyFrameState (\fs -> fs {fsBorderWidth = bw}) frame
    io $ moveResizeWindow d frame (rect_x r) (rect_y r) (least $ rect_width r) (least $ rect_height r)

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

-- | Returns 'True' if the first rectangle is contained within, but not equal
-- to the second.
containedIn :: Rectangle -> Rectangle -> Bool
containedIn r1@(Rectangle x1 y1 w1 h1) r2@(Rectangle x2 y2 w2 h2)
 = and [ r1 /= r2
       , x1 >= x2
       , y1 >= y2
       , fromIntegral x1 + w1 <= fromIntegral x2 + w2
       , fromIntegral y1 + h1 <= fromIntegral y2 + h2 ]

-- | Given a list of screens, remove all duplicated screens and screens that
-- are entirely contained within another.
nubScreens :: [Rectangle] -> [Rectangle]
nubScreens xs = nub . filter (\x -> not $ any (x `containedIn`) xs) $ xs

-- | Cleans the list of screens according to the rules documented for
-- nubScreens.
getCleanedScreenInfo :: MonadIO m => Display -> m [Rectangle]
getCleanedScreenInfo = io .  fmap nubScreens . getScreenInfo

-- | rescreen.  The screen configuration may have changed (due to
-- xrandr), update the state and refresh the screen, and reset the gap.
rescreen :: X ()
rescreen = do
    xinesc <- withDisplay getCleanedScreenInfo

    windows $ \ws ->
        let (xs, ys) = splitAt (length xinesc) $ W.workspaces ws
            (a:as)   = zipWith3 (flip W.Screen []) xs [0..] $ map SD xinesc
        in  ws { W.current = a { W.screenHidden = ys }
               , W.visible = as }

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

-- | setButtonGrab. Tell whether or not to intercept clicks on a given window
setButtonGrab :: Bool -> Window -> X ()
setButtonGrab grab w = do
    pointerMode <- asks $ \c -> if clickJustFocuses (config c)
                                    then grabModeAsync
                                    else grabModeSync
    withDisplay $ \d -> io $ if grab
        then forM_ [button1, button2, button3] $ \b ->
            grabButton d b anyModifier w False buttonPressMask
                       pointerMode grabModeSync none none
        else ungrabButton d anyButton anyModifier w

-- ---------------------------------------------------------------------
-- Setting keyboard focus

-- | Set the focus to the window on top of the stack, or root
setTopFocus :: X ()
setTopFocus = withWindowSet $ maybe (setFocusX =<< asks theRoot) setFocusX . W.peek

-- | Set focus explicitly to window 'w' if it is managed by us, or root.
-- This happens if X notices we've moved the mouse (and perhaps moved
-- the mouse to a new screen).
focus :: Window -> X ()
focus w = local (\c -> c { mouseFocused = True }) $ withWindowSet $ \s -> do
    let stag = W.tag . W.screenWorkspace
        curr = stag $ W.current s
    mnew <- maybe (return Nothing) (fmap (fmap stag) . uncurry pointScreen)
            =<< asks mousePosition
    root <- asks theRoot
    case () of
        _ | W.member w s && W.peek s /= Just w -> windows (W.focusWindow w)
          | Just new <- mnew, w == root && curr /= new
                                               -> windows (W.view new)
          | otherwise                          -> return ()

-- | Call X to set the keyboard focus details.
setFocusX :: Window -> X ()
setFocusX w = withWindowSet $ \ws -> do
    dpy <- asks display

    -- clear mouse button grab and border on other windows
    forM_ (W.screens ws) $ \wk ->
      forM_ (W.index (W.view (W.tag (W.screenWorkspace wk)) ws)) $ \otherw ->
        setButtonGrab True otherw

    -- If we ungrab buttons on the root window, we lose our mouse bindings.
    whenX (not <$> isRoot w) $ setButtonGrab False w

    hints <- io $ getWMHints dpy w
    protocols <- io $ getWMProtocols dpy w
    wmprot <- atom_WM_PROTOCOLS
    wmtf <- atom_WM_TAKE_FOCUS
    currevt <- asks currentEvent
    let inputHintSet = wmh_flags hints `testBit` inputHintBit

    when ((inputHintSet && wmh_input hints) || (not inputHintSet)) $
      io $ do setInputFocus dpy w revertToPointerRoot 0
    when (wmtf `elem` protocols) $
      io $ allocaXEvent $ \ev -> do
        setEventType ev clientMessage
        setClientMessageEvent ev w wmprot 32 wmtf $ maybe currentTime event_time currevt
        sendEvent dpy w False noEventMask ev
        where event_time ev =
                if (ev_event_type ev) `elem` timedEvents then
                  ev_time ev
                else
                  currentTime
              timedEvents = [ keyPress, keyRelease, buttonPress, buttonRelease, enterNotify, leaveNotify, selectionRequest ]

------------------------------------------------------------------------
-- Message handling

-- | Throw a message to the current 'LayoutClass' possibly modifying how we
-- layout the windows, then refresh.
sendMessage :: Message a => a -> X ()
sendMessage a = do
    w <- W.screenWorkspace . W.current <$> gets windowset
    ml' <- handleMessage (W.layout w) (SomeMessage a) `catchX` return Nothing
    whenJust ml' $ \l' ->
        windows $ \ws -> ws { W.current = (W.current ws)
                                { W.screenWorkspace = (W.screenWorkspace $ W.current ws)
                                  { W.layout = l' }}}

-- | Send a message to all layouts, without refreshing.
broadcastMessage :: Message a => a -> X ()
broadcastMessage a = withWindowSet $ \ws ->
   mapM_ (sendMessageWithNoRefresh a) (W.workspaces ws)

-- | Send a message to a layout, without refreshing.
sendMessageWithNoRefresh :: Message a => a -> W.Workspace WorkspaceId (Layout Window) Window -> X ()
sendMessageWithNoRefresh a w =
    handleMessage (W.layout w) (SomeMessage a) `catchX` return Nothing >>=
    updateLayout  (W.tag w)

-- | Update the layout field of a workspace
updateLayout :: WorkspaceId -> Maybe (Layout Window) -> X ()
updateLayout i ml = whenJust ml $ \l ->
    runOnWorkspaces $ \ww -> return $ if W.tag ww == i then ww { W.layout = l} else ww

-- | Set the layout of the currently viewed workspace
setLayout :: Layout Window -> X ()
setLayout l = do
    ss@(W.StackSet { W.current = c@(W.Screen { W.screenWorkspace = ws })}) <- gets windowset
    handleMessage (W.layout ws) (SomeMessage ReleaseResources)
    windows $ const $ ss {W.current = c { W.screenWorkspace = ws { W.layout = l } } }

------------------------------------------------------------------------
-- Utilities

-- | Return workspace visible on screen 'sc', or 'Nothing'.
screenWorkspace :: ScreenId -> X (Maybe WorkspaceId)
screenWorkspace sc = withWindowSet $ return . W.lookupWorkspace sc

-- | Apply an 'X' operation to the currently focused window, if there is one.
withFocused :: (Window -> X ()) -> X ()
withFocused f = withWindowSet $ \w -> whenJust (W.peek w) f

-- | 'True' if window is under management by us
isClient :: Window -> X Bool
isClient w = withWindowSet $ return . W.member w

-- | Combinations of extra modifier masks we need to grab keys\/buttons for.
-- (numlock and capslock)
extraModifiers :: X [KeyMask]
extraModifiers = do
    nlm <- gets numberlockMask
    return [0, nlm, lockMask, nlm .|. lockMask ]

-- | Strip numlock\/capslock from a mask
cleanMask :: KeyMask -> X KeyMask
cleanMask km = do
    nlm <- gets numberlockMask
    return (complement (nlm .|. lockMask) .&. km)

-- | Get the 'Pixel' value for a named color
initColor :: Display -> String -> IO (Maybe Pixel)
initColor dpy c = C.handle (\(C.SomeException _) -> return Nothing) $
    (Just . color_pixel . fst) <$> allocNamedColor dpy colormap c
    where colormap = defaultColormap dpy (defaultScreen dpy)

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

-- | @restart name resume@. Attempt to restart xmonad by executing the program
-- @name@.  If @resume@ is 'True', restart with the current window state.
-- When executing another window manager, @resume@ should be 'False'.
restart :: String -> Bool -> X ()
restart prog resume = do
    broadcastMessage ReleaseResources
    io . flush =<< asks display
    let wsData = show . W.mapLayout show . windowset
        maybeShow (t, Right (PersistentExtension ext)) = Just (t, show ext)
        maybeShow (t, Left str) = Just (t, str)
        maybeShow _ = Nothing
        extState = return . show . catMaybes . map maybeShow . M.toList . extensibleState
    args <- if resume then gets (\s -> "--resume":wsData s:extState s) else return []
    catchIO (executeFile prog True args Nothing)

------------------------------------------------------------------------
-- | Floating layer support

-- | Given a window, find the screen it is located on, and compute
-- the geometry of that window wrt. that screen.
floatLocation :: Window -> X (ScreenId, W.RationalRect)
floatLocation w = withDisplay $ \d -> do
    ws <- gets windowset
    wa <- io $ getWindowAttributes d w
    let bw = (fromIntegral . wa_border_width) wa
    sc <- fromMaybe (W.current ws) <$> pointScreen (fi $ wa_x wa) (fi $ wa_y wa)

    let sr = screenRect . W.screenDetail $ sc
        rr = W.RationalRect ((fi (wa_x wa) - fi (rect_x sr)) % fi (rect_width sr))
                            ((fi (wa_y wa) - fi (rect_y sr)) % fi (rect_height sr))
                            (fi (wa_width  wa + bw*2) % fi (rect_width sr))
                            (fi (wa_height wa + bw*2) % fi (rect_height sr))

    return (W.screen sc, rr)
  where fi x = fromIntegral x

-- | Given a point, determine the screen (if any) that contains it.
pointScreen :: Position -> Position
            -> X (Maybe (W.Screen WorkspaceId (Layout Window) Window ScreenId ScreenDetail))
pointScreen x y = withWindowSet $ return . find p . W.screens
  where p = pointWithin x y . screenRect . W.screenDetail

-- | @pointWithin x y r@ returns 'True' if the @(x, y)@ co-ordinate is within
-- @r@.
pointWithin :: Position -> Position -> Rectangle -> Bool
pointWithin x y r = x >= rect_x r &&
                    x <  rect_x r + fromIntegral (rect_width r) &&
                    y >= rect_y r &&
                    y <  rect_y r + fromIntegral (rect_height r)

-- | Make a tiled window floating, using its suggested rectangle
{-float :: Window -> X ()
float w = do
    (sc, rr) <- floatLocation w
    windows $ \ws -> W.float w rr . fromMaybe ws $ do
        i  <- W.findTag w ws
        guard $ i `elem` concatMap (map W.tag . W.screenWorkspaces) (W.screens ws)
        f  <- W.peek ws
        sw <- W.lookupWorkspace sc ws
        return (W.focusWindow f . W.shiftWin sw w $ ws)-}

-- ---------------------------------------------------------------------
-- Mouse handling

-- | Accumulate mouse motion events
mouseDrag :: (Position -> Position -> X ()) -> X () -> X ()
mouseDrag f done = do
    drag <- gets dragging
    case drag of
        Just _ -> return () -- error case? we're already dragging
        Nothing -> do
            XConf { theRoot = root, display = d } <- ask
            io $ grabPointer d root False (buttonReleaseMask .|. pointerMotionMask)
                    grabModeAsync grabModeAsync none none currentTime
            modify $ \s -> s { dragging = Just (motion, cleanup) }
 where
    cleanup = do
        withDisplay $ io . flip ungrabPointer currentTime
        modify $ \s -> s { dragging = Nothing }
        done
    motion x y = do z <- f x y
                    clearEvents pointerMotionMask
                    return z

-- | XXX comment me
{-mouseMoveWindow :: Window -> X ()
mouseMoveWindow w = whenX (isClient w) $ withDisplay $ \d -> do
    io $ raiseWindow d w
    wa <- io $ getWindowAttributes d w
    (_, _, _, ox', oy', _, _, _) <- io $ queryPointer d w
    let ox = fromIntegral ox'
        oy = fromIntegral oy'
    mouseDrag (\ex ey -> io $ moveWindow d w (fromIntegral (fromIntegral (wa_x wa) + (ex - ox)))
                                             (fromIntegral (fromIntegral (wa_y wa) + (ey - oy))))
              (float w)

-- | XXX comment me
mouseResizeWindow :: Window -> X ()
mouseResizeWindow w = whenX (isClient w) $ withDisplay $ \d -> do
    io $ raiseWindow d w
    wa <- io $ getWindowAttributes d w
    sh <- io $ getWMNormalHints d w
    io $ warpPointer d none w 0 0 0 0 (fromIntegral (wa_width wa)) (fromIntegral (wa_height wa))
    mouseDrag (\ex ey ->
                 io $ resizeWindow d w `uncurry`
                    applySizeHintsContents sh (ex - fromIntegral (wa_x wa),
                                               ey - fromIntegral (wa_y wa)))
              (float w)-}

-- ---------------------------------------------------------------------
-- | Support for window size hints

type D = (Dimension, Dimension)

-- | Given a window, build an adjuster function that will reduce the given
-- dimensions according to the window's border width and size hints.
mkAdjust :: Window -> X (D -> D)
mkAdjust w = withDisplay $ \d -> liftIO $ do
    sh <- getWMNormalHints d w
    bw <- fmap (fromIntegral . wa_border_width) $ getWindowAttributes d w
    return $ applySizeHints bw sh

-- | Reduce the dimensions if needed to comply to the given SizeHints, taking
-- window borders into account.
applySizeHints :: Integral a => Dimension -> SizeHints -> (a, a) -> D
applySizeHints bw sh =
    tmap (+ 2 * bw) . applySizeHintsContents sh . tmap (subtract $ 2 * fromIntegral bw)
    where
    tmap f (x, y) = (f x, f y)

-- | Reduce the dimensions if needed to comply to the given SizeHints.
applySizeHintsContents :: Integral a => SizeHints -> (a, a) -> D
applySizeHintsContents sh (w, h) =
    applySizeHints' sh (fromIntegral $ max 1 w, fromIntegral $ max 1 h)

-- | XXX comment me
applySizeHints' :: SizeHints -> D -> D
applySizeHints' sh =
      maybe id applyMaxSizeHint                   (sh_max_size   sh)
    . maybe id (\(bw, bh) (w, h) -> (w+bw, h+bh)) (sh_base_size  sh)
    . maybe id applyResizeIncHint                 (sh_resize_inc sh)
    . maybe id applyAspectHint                    (sh_aspect     sh)
    . maybe id (\(bw,bh) (w,h)   -> (w-bw, h-bh)) (sh_base_size  sh)

-- | Reduce the dimensions so their aspect ratio falls between the two given aspect ratios.
applyAspectHint :: (D, D) -> D -> D
applyAspectHint ((minx, miny), (maxx, maxy)) x@(w,h)
    | or [minx < 1, miny < 1, maxx < 1, maxy < 1] = x
    | w * maxy > h * maxx                         = (h * maxx `div` maxy, h)
    | w * miny < h * minx                         = (w, w * miny `div` minx)
    | otherwise                                   = x

-- | Reduce the dimensions so they are a multiple of the size increments.
applyResizeIncHint :: D -> D -> D
applyResizeIncHint (iw,ih) x@(w,h) =
    if iw > 0 && ih > 0 then (w - w `mod` iw, h - h `mod` ih) else x

-- | Reduce the dimensions if they exceed the given maximum dimensions.
applyMaxSizeHint  :: D -> D -> D
applyMaxSizeHint (mw,mh) x@(w,h) =
    if mw > 0 && mh > 0 then (min w mw,min h mh) else x