Anyone know how I can use the same keys to move between Vim windows as well as Tmux (or tiling WM) panes?

Anyone know how I can use the same keys to move between Vim windows as well as Tmux (or tiling WM) panes?

For example when I use my key combination to move to the right pane within VIM, VIM should first detect if there actually is a VIM pane to the right. If not it should call a Tmux command to move to the tmux pane on the right (if a tmux pane on the right exists).

Something similar would have to happen if you move back while being in a Tmux pane.

I suppose that besides Tmux you could also use this with a tiling window manager.

Update: moving out of VIM into a Tmux pane can be done as follows:

function! WinMove(key)
    let t:curwin = winnr()
    exec "wincmd ".a:key
    if (t:curwin == winnr()) "we haven't moved
        if (match(a:key,'[h]')) "we're we going left
            silent execute "!tmux select-pane -L &>/dev/null &" | redraw!
        elseif (match(a:key,'[j]')) "we're we going down
            silent execute "!tmux select-pane -D &>/dev/null &" | redraw!
        elseif (match(a:key,'[k]')) "we're we going up
            silent execute "!tmux select-pane -U &>/dev/null &" | redraw!
        elseif (match(a:key,'[l]')) "we're we going right
            silent execute "!tmux select-pane -R &>/dev/null &" | redraw!
        endif
    endif
endfunction
map   
nmap   :call WinMove('k')
map   
nmap   :call WinMove('j')
map   
nmap   :call WinMove('h')
map   
nmap   :call WinMove('l')

Not sure yet if moving back is even possible, but I'm going to investigate it.