::
::::  /hook/core/sole/lib
  ::  
/?    310
/-    *sole
!:
::::
  ::
|%
++  cs                                                  ::  shared-state engine
  |_  sole-share
  ++  abet  +<
  ++  apply
    |=  ted=sole-edit 
    ^+  +>
    ?-    -.ted
      %del  +>.$(buf (weld (scag p.ted buf) (slag +(p.ted) buf)))
      %ins  +>.$(buf (weld (scag p.ted buf) `_buf`[q.ted (slag p.ted buf)]))
      %mor  |-  ^+  +>.^$
            ?~  p.ted 
              +>.^$ 
            $(p.ted t.p.ted, +>.^$ ^$(ted i.p.ted))
      %nop  +>.$
      %set  +>.$(buf p.ted)
    ==
  ::
  ::::
  ::  ++transmute: symmetric operational transformation.  
  ::
  ::  for any sole state +>, obeys
  ::
  ::      =+  [x=(transmute a b) y=(transmute b a)]
  ::      .=  (apply:(apply a) x) 
  ::          (apply:(apply b) y)
  ::
  ++  transmute                                         ::  dex as after sin
    |=  [sin=sole-edit dex=sole-edit]
    ~|  [%transmute sin dex]
    ^-  sole-edit
    ?:  ?=(%mor -.sin)
      |-  ^-  sole-edit
      ?~  p.sin  dex
      $(p.sin t.p.sin, dex ^$(sin i.p.sin))
    ::
    ?:  ?=(%mor -.dex)
      :-  %mor
      |-  ^-  (list sole-edit)
      ?~  p.dex  ~
      [^$(dex i.p.dex) $(p.dex t.p.dex)]
    ::
    ?:  |(?=(%nop -.sin) ?=(%nop -.dex))  dex
    ?:  ?=(%set -.sin)                    [%nop ~]
    ?:  ?=(%set -.dex)                    dex
    ::
    ?-    -.sin
        %del
      ?-  -.dex
        %del  ?:  =(p.sin p.dex)  [%nop ~]
              ?:((lth p.sin p.dex) dex(p (dec p.dex)) dex)
        %ins  ?:((lth p.sin p.dex) dex(p (dec p.dex)) dex)
      ==
    ::  
        %ins
      ?-  -.dex
        %del  ?:((lte p.sin p.dex) dex(p +(p.dex)) dex)
        %ins  ?:  =(p.sin p.dex)     
                ?:((gth q.sin q.dex) dex dex(p +(p.dex)))
              ?:((lte p.sin p.dex) dex(p +(p.dex)) dex)
      ==
    ==   
  ::
  ++  commit                                            ::  local change
    |=  ted=sole-edit
    ^-  sole-share
    abet:(apply(own.ven +(own.ven), leg [ted leg]) ted)
  ::
  ::::
  ::  ++inverse: inverse of change in context.
  ::
  ::  for any sole state +>, obeys
  ::      
  ::      =(+> (apply:(apply a) (inverse a)))
  ::
  ++  inverse                                           ::  relative inverse
    |=  ted=sole-edit
    ^-  sole-edit
    =.  ted  ?.(?=([%mor * ~] ted) ted i.p.ted)
    ?-  -.ted
      %del  [%ins p.ted (snag p.ted buf)]
      %ins  [%del p.ted]
      %mor  :-  %mor
            %-  flop
            |-  ^-  (list sole-edit)
            ?~  p.ted  ~
            :-  ^$(ted i.p.ted)
            $(p.ted t.p.ted, +>.^$ (apply i.p.ted))
      %nop  [%nop ~]
      %set  [%set buf]
    ==
  ::
  ++  receive                                           ::  naturalize event
    |=  sole-change
    ^-  [sole-edit sole-share]
    ?>  &(=(his.ler his.ven) (lte own.ler own.ven))
    ?>  &(=(his.ler his.ven) (lte own.ler own.ven))
    ?>  |(!=(own.ler own.ven) =(0 haw) =(haw (sham buf)))
    =.  leg  (scag (sub own.ven own.ler) leg)
    ::  ~?  !=(own.ler own.ven)  [%miss-leg leg]
    =+  dat=(transmute [%mor leg] ted)
    ::  ~?  !=(~ leg)  [%transmute from/ted to/dat ~]
    [dat abet:(apply(his.ven +(his.ven)) dat)]
  ::
  ++  remit                                             ::  conditional accept
    |=  [cal=sole-change ask=$+((list ,@c) ?)]
    ^-  [(unit sole-change) sole-share]
    =+  old=buf
    =^  dat  +>+<.$  (receive cal)
    ?:  (ask buf)
      [~ +>+<.$]
    =^  lic  +>+<.$  (transmit (inverse(buf old) dat))
    [`lic +>+<.$]
  ::
  ++  transmit                                          ::  outgoing change
    |=  ted=sole-edit
    ^-  [sole-change sole-share]
    [[[his.ven own.ven] (sham buf) ted] (commit ted)]
  ::
  ++  transceive                                        ::  receive and invert
    |=  sole-change
    ^-  [sole-edit sole-share]
    =+  old=buf
    =^  dat  +>+<.$  (receive +<.$)
    [(inverse(buf old) dat) +>+<.$]
  ::
  ++  transpose                                         ::  adjust position
    |=  pos=@ud
    =+  dat=(transmute [%mor leg] [%ins pos `@c`0])
    ?>  ?=(%ins -.dat)
    p.dat
  --
--