lustrec / src / clock_calculus.ml @ b4d9710b
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(********************************************************************) 

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(* *) 
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(* The LustreC compiler toolset / The LustreC Development Team *) 
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(* Copyright 2012   ONERA  CNRS  INPT  LIFL *) 
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(* *) 
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(* LustreC is free software, distributed WITHOUT ANY WARRANTY *) 
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(* under the terms of the GNU Lesser General Public License *) 
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(* version 2.1. *) 
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(* *) 
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(* This file was originally from the Prelude compiler *) 
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(* *) 
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(********************************************************************) 
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(** Main clockcalculus module. Based on type inference algorithms with 
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destructive unification. Uses a bit of subtyping for periodic clocks. *) 
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(* Though it shares similarities with the typing module, no code 
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is shared. Simple environments, very limited identifier scoping, no 
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identifier redefinition allowed. *) 
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open Utils 
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open LustreSpec 
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open Corelang 
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open Clocks 
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open Format 
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let loc_of_cond loc_containing id = 
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let pos_start = 
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{loc_containing.Location.loc_end with 
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Lexing.pos_cnum=loc_containing.Location.loc_end.Lexing.pos_cnum(String.length id)} 
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in 
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{Location.loc_start = pos_start; 
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Location.loc_end = loc_containing.Location.loc_end} 
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(** [occurs cvar ck] returns true if the clock variable [cvar] occurs in 
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clock [ck]. False otherwise. *) 
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let rec occurs cvar ck = 
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let ck = repr ck in 
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match ck.cdesc with 
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 Carrow (ck1, ck2) > 
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(occurs cvar ck1)  (occurs cvar ck2) 
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 Ctuple ckl > 
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List.exists (occurs cvar) ckl 
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 Con (ck',_,_) > occurs cvar ck' 
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 Pck_up (ck',_) > occurs cvar ck' 
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 Pck_down (ck',_) > occurs cvar ck' 
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 Pck_phase (ck',_) > occurs cvar ck' 
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 Cvar _ > ck=cvar 
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 Cunivar _  Pck_const (_,_) > false 
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 Clink ck' > occurs cvar ck' 
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 Ccarrying (_,ck') > occurs cvar ck' 
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(* Clocks generalization *) 
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let rec generalize_carrier cr = 
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match cr.carrier_desc with 
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 Carry_const _ 
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 Carry_name > 
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if cr.carrier_scoped then 
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raise (Scope_carrier cr); 
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cr.carrier_desc < Carry_var 
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 Carry_var > () 
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 Carry_link cr' > generalize_carrier cr' 
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(** Promote monomorphic clock variables to polymorphic clock variables. *) 
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(* Generalize by sideeffects *) 
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let rec generalize ck = 
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match ck.cdesc with 
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 Carrow (ck1,ck2) > 
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generalize ck1; generalize ck2 
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 Ctuple clist > 
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List.iter generalize clist 
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 Con (ck',cr,_) > generalize ck'; generalize_carrier cr 
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 Cvar cset > 
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if ck.cscoped then 
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raise (Scope_clock ck); 
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ck.cdesc < Cunivar cset 
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 Pck_up (ck',_) > generalize ck' 
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 Pck_down (ck',_) > generalize ck' 
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 Pck_phase (ck',_) > generalize ck' 
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 Pck_const (_,_)  Cunivar _ > () 
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 Clink ck' > 
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generalize ck' 
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 Ccarrying (cr,ck') > 
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generalize_carrier cr; generalize ck' 
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let try_generalize ck_node loc = 
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try 
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generalize ck_node 
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with (Scope_carrier cr) > 
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raise (Error (loc, Carrier_extrusion (ck_node, cr))) 
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 (Scope_clock ck) > 
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raise (Error (loc, Clock_extrusion (ck_node, ck))) 
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(* Clocks instanciation *) 
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let instantiate_carrier cr inst_cr_vars = 
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let cr = carrier_repr cr in 
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match cr.carrier_desc with 
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 Carry_const _ 
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 Carry_name > cr 
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 Carry_link _ > 
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failwith "Internal error" 
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 Carry_var > 
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try 
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List.assoc cr.carrier_id !inst_cr_vars 
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with Not_found > 
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let cr_var = new_carrier Carry_name true in 
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inst_cr_vars := (cr.carrier_id,cr_var)::!inst_cr_vars; 
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cr_var 
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(** Downgrade polymorphic clock variables to monomorphic clock variables *) 
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(* inst_ck_vars ensures that a polymorphic variable is instanciated with 
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the same monomorphic variable if it occurs several times in the same 
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type. inst_cr_vars is the same for carriers. *) 
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let rec instantiate inst_ck_vars inst_cr_vars ck = 
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match ck.cdesc with 
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 Carrow (ck1,ck2) > 
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{ck with cdesc = 
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Carrow ((instantiate inst_ck_vars inst_cr_vars ck1), 
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(instantiate inst_ck_vars inst_cr_vars ck2))} 
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 Ctuple cklist > 
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{ck with cdesc = Ctuple 
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(List.map (instantiate inst_ck_vars inst_cr_vars) cklist)} 
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 Con (ck',c,l) > 
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let c' = instantiate_carrier c inst_cr_vars in 
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{ck with cdesc = Con ((instantiate inst_ck_vars inst_cr_vars ck'),c',l)} 
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 Cvar _  Pck_const (_,_) > ck 
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 Pck_up (ck',k) > 
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{ck with cdesc = Pck_up ((instantiate inst_ck_vars inst_cr_vars ck'),k)} 
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 Pck_down (ck',k) > 
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{ck with cdesc = Pck_down ((instantiate inst_ck_vars inst_cr_vars ck'),k)} 
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 Pck_phase (ck',q) > 
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{ck with cdesc = Pck_phase ((instantiate inst_ck_vars inst_cr_vars ck'),q)} 
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 Clink ck' > 
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{ck with cdesc = Clink (instantiate inst_ck_vars inst_cr_vars ck')} 
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 Ccarrying (cr,ck') > 
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let cr' = instantiate_carrier cr inst_cr_vars in 
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{ck with cdesc = 
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Ccarrying (cr',instantiate inst_ck_vars inst_cr_vars ck')} 
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 Cunivar cset > 
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try 
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List.assoc ck.cid !inst_ck_vars 
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with Not_found > 
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let var = new_ck (Cvar cset) true in 
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inst_ck_vars := (ck.cid, var)::!inst_ck_vars; 
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var 
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(** [subsume pck1 cset1] subsumes clock [pck1] by clock subset 
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[cset1]. The clock constraint is actually recursively transfered to 
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the clock variable appearing in [pck1] *) 
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let subsume pck1 cset1 = 
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let rec aux pck cset = 
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match cset with 
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 CSet_all > 
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() 
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 CSet_pck (k,(a,b)) > 
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match pck.cdesc with 
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 Cvar cset' > 
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pck.cdesc < Cvar (intersect cset' cset) 
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 Pck_up (pck',k') > 
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let rat = if a=0 then (0,1) else (a,b*k') in 
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aux pck' (CSet_pck ((k*k'),rat)) 
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 Pck_down (pck',k') > 
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let k''=k/(gcd k k') in 
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aux pck' (CSet_pck (k'',(a*k',b))) 
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 Pck_phase (pck',(a',b')) > 
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let (a'',b'')= max_rat (sum_rat (a,b) (a',b')) (0,1) in 
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aux pck' (CSet_pck (k, (a'',b''))) 
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 Pck_const (n,(a',b')) > 
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if n mod k <> 0  (max_rat (a,b) (a',b')) <> (a',b') then 
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raise (Subsume (pck1, cset1)) 
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 Clink pck' > 
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aux pck' cset 
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 Cunivar _ > () 
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 Ccarrying (_,ck') > 
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aux ck' cset 
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 _ > raise (Subsume (pck1, cset1)) 
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in 
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aux pck1 cset1 
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let rec update_scope_carrier scoped cr = 
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if (not scoped) then 
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begin 
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cr.carrier_scoped < scoped; 
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match cr.carrier_desc with 
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 Carry_const _  Carry_name  Carry_var > () 
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 Carry_link cr' > update_scope_carrier scoped cr' 
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end 
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let rec update_scope scoped ck = 
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if (not scoped) then 
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begin 
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ck.cscoped < scoped; 
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match ck.cdesc with 
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 Carrow (ck1,ck2) > 
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update_scope scoped ck1; update_scope scoped ck2 
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 Ctuple clist > 
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List.iter (update_scope scoped) clist 
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 Con (ck',cr,_) > update_scope scoped ck'(*; update_scope_carrier scoped cr*) 
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 Cvar cset > 
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ck.cdesc < Cvar cset 
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 Pck_up (ck',_) > update_scope scoped ck' 
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 Pck_down (ck',_) > update_scope scoped ck' 
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 Pck_phase (ck',_) > update_scope scoped ck' 
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 Pck_const (_,_)  Cunivar _ > () 
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 Clink ck' > 
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update_scope scoped ck' 
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 Ccarrying (cr,ck') > 
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update_scope_carrier scoped cr; update_scope scoped ck' 
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end 
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(* Unifies two static pclocks. *) 
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let unify_static_pck ck1 ck2 = 
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if (period ck1 <> period ck2)  (phase ck1 <> phase ck2) then 
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raise (Unify (ck1,ck2)) 
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(* Unifies two clock carriers *) 
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let unify_carrier cr1 cr2 = 
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let cr1 = carrier_repr cr1 in 
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let cr2 = carrier_repr cr2 in 
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if cr1==cr2 then () 
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else 
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match cr1.carrier_desc, cr2.carrier_desc with 
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 Carry_const id1, Carry_const id2 > 
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if id1 <> id2 then raise (Mismatch (cr1, cr2)) 
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 Carry_const _, Carry_name > 
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begin 
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cr2.carrier_desc < Carry_link cr1; 
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update_scope_carrier cr2.carrier_scoped cr1 
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end 
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 Carry_name, Carry_const _ > 
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begin 
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cr1.carrier_desc < Carry_link cr2; 
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update_scope_carrier cr1.carrier_scoped cr2 
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end 
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 Carry_name, Carry_name > 
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if cr1.carrier_id < cr2.carrier_id then 
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begin 
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cr2.carrier_desc < Carry_link cr1; 
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update_scope_carrier cr2.carrier_scoped cr1 
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end 
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else 
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begin 
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cr1.carrier_desc < Carry_link cr2; 
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update_scope_carrier cr1.carrier_scoped cr2 
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end 
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 _,_ > assert false 
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(* Semiunifies two clock carriers *) 
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let semi_unify_carrier cr1 cr2 = 
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let cr1 = carrier_repr cr1 in 
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let cr2 = carrier_repr cr2 in 
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if cr1==cr2 then () 
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else 
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match cr1.carrier_desc, cr2.carrier_desc with 
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 Carry_const id1, Carry_const id2 > 
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if id1 <> id2 then raise (Mismatch (cr1, cr2)) 
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 Carry_const _, Carry_name > 
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begin 
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cr2.carrier_desc < Carry_link cr1; 
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update_scope_carrier cr2.carrier_scoped cr1 
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end 
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 Carry_name, Carry_const _ > raise (Mismatch (cr1, cr2)) 
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 Carry_name, Carry_name > 
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if cr1.carrier_id < cr2.carrier_id then 
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begin 
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cr2.carrier_desc < Carry_link cr1; 
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update_scope_carrier cr2.carrier_scoped cr1 
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end 
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else 
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begin 
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cr1.carrier_desc < Carry_link cr2; 
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update_scope_carrier cr1.carrier_scoped cr2 
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end 
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 _,_ > assert false 
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let try_unify_carrier ck1 ck2 loc = 
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try 
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unify_carrier ck1 ck2 
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with 
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 Unify (ck1',ck2') > 
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raise (Error (loc, Clock_clash (ck1',ck2'))) 
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 Subsume (ck,cset) > 
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raise (Error (loc, Clock_set_mismatch (ck,cset))) 
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 Mismatch (cr1,cr2) > 
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raise (Error (loc, Carrier_mismatch (cr1,cr2))) 
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(** [unify ck1 ck2] unifies clocks [ck1] and [ck2]. Raises [Unify 
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(ck1,ck2)] if the clocks are not unifiable.*) 
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let rec unify ck1 ck2 = 
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let ck1 = repr ck1 in 
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let ck2 = repr ck2 in 
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if ck1==ck2 then 
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() 
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else 
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let left_const = is_concrete_pck ck1 in 
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let right_const = is_concrete_pck ck2 in 
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if left_const && right_const then 
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unify_static_pck ck1 ck2 
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else 
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match ck1.cdesc,ck2.cdesc with 
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 Cvar cset1,Cvar cset2> 
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if ck1.cid < ck2.cid then 
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begin 
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ck2.cdesc < Clink (simplify ck1); 
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update_scope ck2.cscoped ck1; 
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subsume ck1 cset2 
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end 
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else 
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begin 
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ck1.cdesc < Clink (simplify ck2); 
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update_scope ck1.cscoped ck2; 
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subsume ck2 cset1 
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end 
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 Cvar cset, Pck_up (_,_)  Cvar cset, Pck_down (_,_) 
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 Cvar cset, Pck_phase (_,_)  Cvar cset, Pck_const (_,_) > 
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if (occurs ck1 ck2) then 
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begin 
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if (simplify ck2 = ck1) then 
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ck2.cdesc < Clink (simplify ck1) 
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else 
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raise (Unify (ck1,ck2)); 
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end 
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else 
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begin 
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ck1.cdesc < Clink (simplify ck2); 
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subsume ck2 cset 
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end 
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 Pck_up (_,_), Cvar cset  Pck_down (_,_), Cvar cset 
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 Pck_phase (_,_), Cvar cset  Pck_const (_,_), Cvar cset > 
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if (occurs ck2 ck1) then 
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begin 
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if ((simplify ck1) = ck2) then 
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ck1.cdesc < Clink (simplify ck2) 
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else 
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raise (Unify (ck1,ck2)); 
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end 
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else 
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begin 
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ck2.cdesc < Clink (simplify ck1); 
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subsume ck1 cset 
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end 
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 (Cvar cset,_) when (not (occurs ck1 ck2)) > 
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subsume ck2 cset; 
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update_scope ck1.cscoped ck2; 
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ck1.cdesc < Clink (simplify ck2) 
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 (_, (Cvar cset)) when (not (occurs ck2 ck1)) > 
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subsume ck1 cset; 
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update_scope ck2.cscoped ck1; 
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ck2.cdesc < Clink (simplify ck1) 
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 Ccarrying (cr1,ck1'),Ccarrying (cr2,ck2') > 
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unify_carrier cr1 cr2; 
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unify ck1' ck2' 
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 Ccarrying (_,_),_  _,Ccarrying (_,_) > 
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raise (Unify (ck1,ck2)) 
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 Carrow (c1,c2), Carrow (c1',c2') > 
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unify c1 c1'; unify c2 c2' 
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 Ctuple ckl1, Ctuple ckl2 > 
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if (List.length ckl1) <> (List.length ckl2) then 
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raise (Unify (ck1,ck2)); 
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List.iter2 unify ckl1 ckl2 
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 Con (ck',c1,l1), Con (ck'',c2,l2) when l1=l2 > 
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unify_carrier c1 c2; 
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unify ck' ck'' 
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 Pck_const (i,r), Pck_const (i',r') > 
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if i<>i'  r <> r' then 
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raise (Unify (ck1,ck2)) 
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 (_, Pck_up (pck2',k)) when (not right_const) > 
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let ck1' = simplify (new_ck (Pck_down (ck1,k)) true) in 
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unify ck1' pck2' 
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 (_,Pck_down (pck2',k)) when (not right_const) > 
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subsume ck1 (CSet_pck (k,(0,1))); 
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let ck1' = simplify (new_ck (Pck_up (ck1,k)) true) in 
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unify ck1' pck2' 
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 (_,Pck_phase (pck2',(a,b))) when (not right_const) > 
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subsume ck1 (CSet_pck (b,(a,b))); 
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let ck1' = simplify (new_ck (Pck_phase (ck1,(a,b))) true) in 
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unify ck1' pck2' 
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 Pck_up (pck1',k),_ > 
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let ck2' = simplify (new_ck (Pck_down (ck2,k)) true) in 
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unify pck1' ck2' 
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 Pck_down (pck1',k),_ > 
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subsume ck2 (CSet_pck (k,(0,1))); 
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let ck2' = simplify (new_ck (Pck_up (ck2,k)) true) in 
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unify pck1' ck2' 
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 Pck_phase (pck1',(a,b)),_ > 
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subsume ck2 (CSet_pck (b,(a,b))); 
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let ck2' = simplify (new_ck (Pck_phase (ck2,(a,b))) true) in 
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unify pck1' ck2' 
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 Cunivar _, _  _, Cunivar _ > () 
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 _,_ > raise (Unify (ck1,ck2)) 
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(** [unify ck1 ck2] semiunifies clocks [ck1] and [ck2]. Raises [Unify 
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(ck1,ck2)] if the clocks are not semiunifiable.*) 
394 
let rec semi_unify ck1 ck2 = 
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let ck1 = repr ck1 in 
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let ck2 = repr ck2 in 
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if ck1==ck2 then 
398 
() 
399 
else 
400 
match ck1.cdesc,ck2.cdesc with 
401 
 Cvar cset1,Cvar cset2> 
402 
if ck1.cid < ck2.cid then 
403 
begin 
404 
ck2.cdesc < Clink (simplify ck1); 
405 
update_scope ck2.cscoped ck1 
406 
end 
407 
else 
408 
begin 
409 
ck1.cdesc < Clink (simplify ck2); 
410 
update_scope ck1.cscoped ck2 
411 
end 
412 
 (Cvar cset,_) > raise (Unify (ck1,ck2)) 
413 
 (_, (Cvar cset)) when (not (occurs ck2 ck1)) > 
414 
update_scope ck2.cscoped ck1; 
415 
ck2.cdesc < Clink (simplify ck1) 
416 
 Ccarrying (cr1,ck1'),Ccarrying (cr2,ck2') > 
417 
semi_unify_carrier cr1 cr2; 
418 
semi_unify ck1' ck2' 
419 
 Ccarrying (_,_),_  _,Ccarrying (_,_) > 
420 
raise (Unify (ck1,ck2)) 
421 
 Carrow (c1,c2), Carrow (c1',c2') > 
422 
begin 
423 
semi_unify c1 c1'; 
424 
semi_unify c2 c2' 
425 
end 
426 
 Ctuple ckl1, Ctuple ckl2 > 
427 
if (List.length ckl1) <> (List.length ckl2) then 
428 
raise (Unify (ck1,ck2)); 
429 
List.iter2 semi_unify ckl1 ckl2 
430 
 Con (ck',c1,l1), Con (ck'',c2,l2) when l1=l2 > 
431 
semi_unify_carrier c1 c2; 
432 
semi_unify ck' ck'' 
433 
 Cunivar _, _  _, Cunivar _ > () 
434 
 _,_ > raise (Unify (ck1,ck2)) 
435  
436 
(* Returns the value corresponding to a pclock (integer) factor 
437 
expression. Expects a constant expression (checked by typing). *) 
438 
let int_factor_of_expr e = 
439 
match e.expr_desc with 
440 
 Expr_const 
441 
(Const_int i) > i 
442 
 _ > failwith "Internal error: int_factor_of_expr" 
443  
444 
(** [clock_uncarry ck] drops the possible carrier(s) name(s) from clock [ck] *) 
445 
let rec clock_uncarry ck = 
446 
let ck = repr ck in 
447 
match ck.cdesc with 
448 
 Ccarrying (_, ck') > ck' 
449 
 Con(ck', cr, l) > clock_on (clock_uncarry ck') cr l 
450 
 Ctuple ckl > clock_of_clock_list (List.map clock_uncarry ckl) 
451 
 _ > ck 
452  
453 
let try_unify ck1 ck2 loc = 
454 
try 
455 
unify ck1 ck2 
456 
with 
457 
 Unify (ck1',ck2') > 
458 
raise (Error (loc, Clock_clash (ck1',ck2'))) 
459 
 Subsume (ck,cset) > 
460 
raise (Error (loc, Clock_set_mismatch (ck,cset))) 
461 
 Mismatch (cr1,cr2) > 
462 
raise (Error (loc, Carrier_mismatch (cr1,cr2))) 
463  
464 
let try_semi_unify ck1 ck2 loc = 
465 
try 
466 
semi_unify ck1 ck2 
467 
with 
468 
 Unify (ck1',ck2') > 
469 
raise (Error (loc, Clock_clash (ck1',ck2'))) 
470 
 Subsume (ck,cset) > 
471 
raise (Error (loc, Clock_set_mismatch (ck,cset))) 
472 
 Mismatch (cr1,cr2) > 
473 
raise (Error (loc, Carrier_mismatch (cr1,cr2))) 
474  
475 
(* ck2 is a subtype of ck1 *) 
476 
let rec sub_unify sub ck1 ck2 = 
477 
match (repr ck1).cdesc, (repr ck2).cdesc with 
478 
 Ctuple cl1 , Ctuple cl2 > 
479 
if List.length cl1 <> List.length cl2 
480 
then raise (Unify (ck1, ck2)) 
481 
else List.iter2 (sub_unify sub) cl1 cl2 
482 
 Ctuple [c1] , _ > sub_unify sub c1 ck2 
483 
 _ , Ctuple [c2] > sub_unify sub ck1 c2 
484 
 Con (c1, cr1, t1) , Con (c2, cr2, t2) when t1=t2 > 
485 
begin 
486 
unify_carrier cr1 cr2; 
487 
sub_unify sub c1 c2 
488 
end 
489 
 Ccarrying (cr1, c1), Ccarrying (cr2, c2)> 
490 
begin 
491 
unify_carrier cr1 cr2; 
492 
sub_unify sub c1 c2 
493 
end 
494 
 _, Ccarrying (_, c2) when sub > sub_unify sub ck1 c2 
495 
 _ > unify ck1 ck2 
496  
497 
let try_sub_unify sub ck1 ck2 loc = 
498 
try 
499 
sub_unify sub ck1 ck2 
500 
with 
501 
 Unify (ck1',ck2') > 
502 
raise (Error (loc, Clock_clash (ck1',ck2'))) 
503 
 Subsume (ck,cset) > 
504 
raise (Error (loc, Clock_set_mismatch (ck,cset))) 
505 
 Mismatch (cr1,cr2) > 
506 
raise (Error (loc, Carrier_mismatch (cr1,cr2))) 
507  
508 
(* Unifies all the clock variables in the clock type of a tuple 
509 
expression, so that the clock type only uses at most one clock variable *) 
510 
let unify_tuple_clock ref_ck_opt ck loc = 
511 
(*(match ref_ck_opt with 
512 
 None > Format.eprintf "unify_tuple_clock None %a@." Clocks.print_ck ck 
513 
 Some ck' > Format.eprintf "unify_tuple_clock (Some %a) %a@." Clocks.print_ck ck' Clocks.print_ck ck);*) 
514 
let ck_var = ref ref_ck_opt in 
515 
let rec aux ck = 
516 
match (repr ck).cdesc with 
517 
 Con _ 
518 
 Cvar _ > 
519 
begin 
520 
match !ck_var with 
521 
 None > 
522 
ck_var:=Some ck 
523 
 Some v > 
524 
(* may fail *) 
525 
try_unify ck v loc 
526 
end 
527 
 Ctuple cl > 
528 
List.iter aux cl 
529 
 Carrow _ > assert false (* should not occur *) 
530 
 Ccarrying (_, ck1) > 
531 
aux ck1 
532 
 _ > () 
533 
in aux ck 
534  
535 
(* Unifies all the clock variables in the clock type of an imported 
536 
node, so that the clock type only uses at most one base clock variable, 
537 
that is, the activation clock of the node *) 
538 
let unify_imported_clock ref_ck_opt ck loc = 
539 
let ck_var = ref ref_ck_opt in 
540 
let rec aux ck = 
541 
match (repr ck).cdesc with 
542 
 Cvar _ > 
543 
begin 
544 
match !ck_var with 
545 
 None > 
546 
ck_var:=Some ck 
547 
 Some v > 
548 
(* cannot fail *) 
549 
try_unify ck v loc 
550 
end 
551 
 Ctuple cl > 
552 
List.iter aux cl 
553 
 Carrow (ck1,ck2) > 
554 
aux ck1; aux ck2 
555 
 Ccarrying (_, ck1) > 
556 
aux ck1 
557 
 Con (ck1, _, _) > aux ck1 
558 
 _ > () 
559 
in 
560 
aux ck 
561  
562 
(* Computes the root clock of a tuple or a node clock, 
563 
which is not the same as the base clock. 
564 
Root clock will be used as the call clock 
565 
of a given node instance *) 
566 
let compute_root_clock ck = 
567 
let root = Clocks.root ck in 
568 
let branch = ref None in 
569 
let rec aux ck = 
570 
match (repr ck).cdesc with 
571 
 Ctuple cl > 
572 
List.iter aux cl 
573 
 Carrow (ck1,ck2) > 
574 
aux ck1; aux ck2 
575 
 _ > 
576 
begin 
577 
match !branch with 
578 
 None > 
579 
branch := Some (Clocks.branch ck) 
580 
 Some br > 
581 
(* cannot fail *) 
582 
branch := Some (Clocks.common_prefix br (Clocks.branch ck)) 
583 
end 
584 
in 
585 
begin 
586 
aux ck; 
587 
Clocks.clock_of_root_branch root (Utils.desome !branch) 
588 
end 
589  
590 
(* Clocks a list of arguments of Lustre builtin operators: 
591 
 type each expression, remove carriers of clocks as 
592 
carriers may only denote variables, not arbitrary expr. 
593 
 try to unify these clocks altogether 
594 
*) 
595 
let rec clock_standard_args env expr_list = 
596 
let ck_list = List.map (fun e > clock_uncarry (clock_expr env e)) expr_list in 
597 
let ck_res = new_var true in 
598 
List.iter2 (fun e ck > try_unify ck ck_res e.expr_loc) expr_list ck_list; 
599 
ck_res 
600  
601 
(* emulates a subtyping relation between clocks c and (cr : c), 
602 
used during node application only *) 
603 
and clock_subtyping_arg env ?(sub=true) real_arg formal_clock = 
604 
let loc = real_arg.expr_loc in 
605 
let real_clock = clock_expr env real_arg in 
606 
try_sub_unify sub formal_clock real_clock loc 
607  
608 
(* computes clocks for node application *) 
609 
and clock_appl env f args clock_reset loc = 
610 
let args = expr_list_of_expr args in 
611 
if Basic_library.is_internal_fun f && List.exists is_tuple_expr args 
612 
then 
613 
let args = Utils.transpose_list (List.map expr_list_of_expr args) in 
614 
Clocks.clock_of_clock_list (List.map (fun args > clock_call env f args clock_reset loc) args) 
615 
else 
616 
clock_call env f args clock_reset loc 
617  
618 
and clock_call env f args clock_reset loc = 
619 
let cfun = clock_ident false env f loc in 
620 
let cins, couts = split_arrow cfun in 
621 
let cins = clock_list_of_clock cins in 
622 
List.iter2 (clock_subtyping_arg env) args cins; 
623 
unify_imported_clock (Some clock_reset) cfun loc; 
624 
couts 
625  
626 
and clock_ident nocarrier env id loc = 
627 
clock_expr ~nocarrier:nocarrier env (expr_of_ident id loc) 
628  
629 
and clock_carrier env c loc ce = 
630 
let expr_c = expr_of_ident c loc in 
631 
let ck = clock_expr ~nocarrier:false env expr_c in 
632 
let cr = new_carrier Carry_name (*Carry_const c*) ck.cscoped in 
633 
let ckb = new_var true in 
634 
let ckcarry = new_ck (Ccarrying (cr, ckb)) ck.cscoped in 
635 
try_unify ck ckcarry expr_c.expr_loc; 
636 
unify_tuple_clock (Some ckb) ce expr_c.expr_loc; 
637 
cr 
638  
639 
(** [clock_expr env expr] performs the clock calculus for expression [expr] in 
640 
environment [env] *) 
641 
and clock_expr ?(nocarrier=true) env expr = 
642 
let resulting_ck = 
643 
match expr.expr_desc with 
644 
 Expr_const cst > 
645 
let ck = new_var true in 
646 
expr.expr_clock < ck; 
647 
ck 
648 
 Expr_ident v > 
649 
let ckv = 
650 
try 
651 
Env.lookup_value env v 
652 
with Not_found > 
653 
failwith ("Internal error, variable \""^v^"\" not found") 
654 
in 
655 
let ck = instantiate (ref []) (ref []) ckv in 
656 
expr.expr_clock < ck; 
657 
ck 
658 
 Expr_array elist > 
659 
let ck = clock_standard_args env elist in 
660 
expr.expr_clock < ck; 
661 
ck 
662 
 Expr_access (e1, d) > 
663 
(* dimension, being a static value, doesn't need to be clocked *) 
664 
let ck = clock_standard_args env [e1] in 
665 
expr.expr_clock < ck; 
666 
ck 
667 
 Expr_power (e1, d) > 
668 
(* dimension, being a static value, doesn't need to be clocked *) 
669 
let ck = clock_standard_args env [e1] in 
670 
expr.expr_clock < ck; 
671 
ck 
672 
 Expr_tuple elist > 
673 
let ck = new_ck (Ctuple (List.map (clock_expr env) elist)) true in 
674 
expr.expr_clock < ck; 
675 
ck 
676 
 Expr_ite (c, t, e) > 
677 
let ck_c = clock_standard_args env [c] in 
678 
let ck = clock_standard_args env [t; e] in 
679 
(* Here, the branches may exhibit a tuple clock, not the condition *) 
680 
unify_tuple_clock (Some ck_c) ck expr.expr_loc; 
681 
expr.expr_clock < ck; 
682 
ck 
683 
 Expr_appl (id, args, r) > 
684 
(try 
685 
(* for a modular compilation scheme, all inputs/outputs must share the same clock ! 
686 
this is also the reset clock ! 
687 
*) 
688 
let cr = 
689 
match r with 
690 
 None > new_var true 
691 
 Some c > clock_standard_args env [c] in 
692 
let couts = clock_appl env id args (clock_uncarry cr) expr.expr_loc in 
693 
expr.expr_clock < couts; 
694 
couts 
695 
with exn > ( 
696 
Format.eprintf "Current expr: %a@." Printers.pp_expr expr; 
697 
raise exn 
698 
)) 
699 
 Expr_fby (e1,e2) 
700 
 Expr_arrow (e1,e2) > 
701 
let ck = clock_standard_args env [e1; e2] in 
702 
unify_tuple_clock None ck expr.expr_loc; 
703 
expr.expr_clock < ck; 
704 
ck 
705 
 Expr_pre e > (* todo : deal with phases as in tail ? *) 
706 
let ck = clock_standard_args env [e] in 
707 
expr.expr_clock < ck; 
708 
ck 
709 
 Expr_when (e,c,l) > 
710 
let ce = clock_standard_args env [e] in 
711 
let c_loc = loc_of_cond expr.expr_loc c in 
712 
let cr = clock_carrier env c c_loc ce in 
713 
let ck = clock_on ce cr l in 
714 
let cr' = new_carrier (Carry_const c) ck.cscoped in 
715 
let ck' = clock_on ce cr' l in 
716 
expr.expr_clock < ck'; 
717 
ck 
718 
 Expr_merge (c,hl) > 
719 
let cvar = new_var true in 
720 
let crvar = new_carrier Carry_name true in 
721 
List.iter (fun (t, h) > let ckh = clock_uncarry (clock_expr env h) in unify_tuple_clock (Some (new_ck (Con (cvar,crvar,t)) true)) ckh h.expr_loc) hl; 
722 
let cr = clock_carrier env c expr.expr_loc cvar in 
723 
try_unify_carrier cr crvar expr.expr_loc; 
724 
let cres = clock_current ((snd (List.hd hl)).expr_clock) in 
725 
expr.expr_clock < cres; 
726 
cres 
727 
in 
728 
Log.report ~level:4 (fun fmt > Format.fprintf fmt "Clock of expr %a: %a@." Printers.pp_expr expr Clocks.print_ck resulting_ck); 
729 
resulting_ck 
730  
731 
let clock_of_vlist vars = 
732 
let ckl = List.map (fun v > v.var_clock) vars in 
733 
clock_of_clock_list ckl 
734  
735 
(** [clock_eq env eq] performs the clockcalculus for equation [eq] in 
736 
environment [env] *) 
737 
let clock_eq env eq = 
738 
let expr_lhs = expr_of_expr_list eq.eq_loc (List.map (fun v > expr_of_ident v eq.eq_loc) eq.eq_lhs) in 
739 
let ck_rhs = clock_expr env eq.eq_rhs in 
740 
clock_subtyping_arg env expr_lhs ck_rhs 
741  
742 
(* [clock_coreclock cck] returns the clock_expr corresponding to clock 
743 
declaration [cck] *) 
744 
let clock_coreclock env cck id loc scoped = 
745 
match cck.ck_dec_desc with 
746 
 Ckdec_any > new_var scoped 
747 
 Ckdec_pclock (n,(a,b)) > 
748 
let ck = new_ck (Pck_const (n,(a,b))) scoped in 
749 
if n mod b <> 0 then raise (Error (loc,Invalid_const ck)); 
750 
ck 
751 
 Ckdec_bool cl > 
752 
let temp_env = Env.add_value env id (new_var true) in 
753 
(* We just want the id to be present in the environment *) 
754 
let dummy_id_expr = expr_of_ident id loc in 
755 
let when_expr = 
756 
List.fold_left 
757 
(fun expr (x,l) > 
758 
{expr_tag = new_tag (); 
759 
expr_desc = Expr_when (expr,x,l); 
760 
expr_type = Types.new_var (); 
761 
expr_clock = new_var scoped; 
762 
expr_delay = Delay.new_var (); 
763 
expr_loc = loc; 
764 
expr_annot = None}) 
765 
dummy_id_expr cl 
766 
in 
767 
clock_expr temp_env when_expr 
768  
769 
(* Clocks a variable declaration *) 
770 
let clock_var_decl scoped env vdecl = 
771 
let ck = clock_coreclock env vdecl.var_dec_clock vdecl.var_id vdecl.var_loc scoped in 
772 
let ck = 
773 
(* WTF ???? 
774 
if vdecl.var_dec_const 
775 
then 
776 
(try_generalize ck vdecl.var_loc; ck) 
777 
else 
778 
*) 
779 
if Types.get_clock_base_type vdecl.var_type <> None 
780 
then new_ck (Ccarrying ((new_carrier Carry_name scoped),ck)) scoped 
781 
else ck in 
782 
vdecl.var_clock < ck; 
783 
Env.add_value env vdecl.var_id ck 
784  
785 
(* Clocks a variable declaration list *) 
786 
let clock_var_decl_list env scoped l = 
787 
List.fold_left (clock_var_decl scoped) env l 
788  
789 
(** [clock_node env nd] performs the clockcalculus for node [nd] in 
790 
environment [env]. 
791 
Generalization of clocks wrt scopes follows this rule: 
792 
 generalize inputs (unscoped). 
793 
 generalize outputs. As they are scoped, only clocks coming from inputs 
794 
are allowed to be generalized. 
795 
 generalize locals. As outputs don't depend on them (checked the step before), 
796 
they can be generalized. 
797 
*) 
798 
let clock_node env loc nd = 
799 
(* let is_main = nd.node_id = !Options.main_node in *) 
800 
let new_env = clock_var_decl_list env false nd.node_inputs in 
801 
let new_env = clock_var_decl_list new_env true nd.node_outputs in 
802 
let new_env = clock_var_decl_list new_env true nd.node_locals in 
803 
List.iter (clock_eq new_env) (get_node_eqs nd); 
804 
let ck_ins = clock_of_vlist nd.node_inputs in 
805 
let ck_outs = clock_of_vlist nd.node_outputs in 
806 
let ck_node = new_ck (Carrow (ck_ins,ck_outs)) false in 
807 
unify_imported_clock None ck_node loc; 
808 
Log.report ~level:3 (fun fmt > print_ck fmt ck_node); 
809 
(* Local variables may contain firstorder carrier variables that should be generalized. 
810 
That's not the case for types. *) 
811 
try_generalize ck_node loc; 
812 
(* 
813 
List.iter (fun vdecl > try_generalize vdecl.var_clock vdecl.var_loc) nd.node_inputs; 
814 
List.iter (fun vdecl > try_generalize vdecl.var_clock vdecl.var_loc) nd.node_outputs;*) 
815 
(*List.iter (fun vdecl > try_generalize vdecl.var_clock vdecl.var_loc) nd.node_locals;*) 
816 
(* TODO : Xavier pourquoi ai je cette erreur ? *) 
817 
(* if (is_main && is_polymorphic ck_node) then 
818 
raise (Error (loc,(Cannot_be_polymorphic ck_node))); 
819 
*) 
820 
Log.report ~level:3 (fun fmt > print_ck fmt ck_node); 
821 
nd.node_clock < ck_node; 
822 
Env.add_value env nd.node_id ck_node 
823  
824  
825 
let check_imported_pclocks loc ck_node = 
826 
let pck = ref None in 
827 
let rec aux ck = 
828 
match ck.cdesc with 
829 
 Carrow (ck1,ck2) > aux ck1; aux ck2 
830 
 Ctuple cl > List.iter aux cl 
831 
 Con (ck',_,_) > aux ck' 
832 
 Pck_up (_,_)  Pck_down (_,_)  Pck_phase (_,_) > 
833 
raise (Error (loc, (Invalid_imported_clock ck_node))) 
834 
 Pck_const (n,p) > 
835 
begin 
836 
match !pck with 
837 
 None > pck := Some (n,p) 
838 
 Some (n',p') > 
839 
if (n,p) <> (n',p') then 
840 
raise (Error (loc, (Invalid_imported_clock ck_node))) 
841 
end 
842 
 Clink ck' > aux ck' 
843 
 Ccarrying (_,ck') > aux ck' 
844 
 Cvar _  Cunivar _ > 
845 
match !pck with 
846 
 None > () 
847 
 Some (_,_) > 
848 
raise (Error (loc, (Invalid_imported_clock ck_node))) 
849 
in 
850 
aux ck_node 
851  
852 
let clock_imported_node env loc nd = 
853 
let new_env = clock_var_decl_list env false nd.nodei_inputs in 
854 
ignore(clock_var_decl_list new_env false nd.nodei_outputs); 
855 
let ck_ins = clock_of_vlist nd.nodei_inputs in 
856 
let ck_outs = clock_of_vlist nd.nodei_outputs in 
857 
let ck_node = new_ck (Carrow (ck_ins,ck_outs)) false in 
858 
unify_imported_clock None ck_node loc; 
859 
check_imported_pclocks loc ck_node; 
860 
try_generalize ck_node loc; 
861 
nd.nodei_clock < ck_node; 
862 
Env.add_value env nd.nodei_id ck_node 
863  
864 
let clock_top_const env cdecl= 
865 
let ck = new_var false in 
866 
try_generalize ck cdecl.const_loc; 
867 
Env.add_value env cdecl.const_id ck 
868  
869 
let clock_top_consts env clist = 
870 
List.fold_left clock_top_const env clist 
871 

872 
let rec clock_top_decl env decl = 
873 
match decl.top_decl_desc with 
874 
 Node nd > 
875 
clock_node env decl.top_decl_loc nd 
876 
 ImportedNode nd > 
877 
clock_imported_node env decl.top_decl_loc nd 
878 
 Const c > 
879 
clock_top_const env c 
880 
 TypeDef _ > List.fold_left clock_top_decl env (consts_of_enum_type decl) 
881 
 Open _ > env 
882  
883 
let clock_prog env decls = 
884 
List.fold_left clock_top_decl env decls 
885  
886 
(* Once the Lustre program is fully clocked, 
887 
we must get back to the original description of clocks, 
888 
with constant parameters, instead of unifiable internal variables. *) 
889  
890 
(* The following functions aims at 'unevaluating' carriers occuring in clock expressions, 
891 
i.e. replacing unifiable second_order variables with the original carrier names. 
892 
Once restored in this formulation, clocks may be meaningfully printed. 
893 
*) 
894 
let uneval_vdecl_generics vdecl = 
895 
(*Format.eprintf "Clock_calculus.uneval_vdecl_generics %a@." Printers.pp_node_var vdecl;*) 
896 
if Types.get_clock_base_type vdecl.var_type <> None 
897 
then 
898 
match get_carrier_name vdecl.var_clock with 
899 
 None > (Format.eprintf "internal error: %a@." print_ck vdecl.var_clock; assert false) 
900 
 Some cr > Clocks.uneval vdecl.var_id cr 
901  
902 
let uneval_node_generics vdecls = 
903 
List.iter uneval_vdecl_generics vdecls 
904  
905 
let uneval_top_generics decl = 
906 
match decl.top_decl_desc with 
907 
 Node nd > 
908 
(* A node could contain firstorder carrier variable in local vars. This is not the case for types. *) 
909 
uneval_node_generics (nd.node_inputs @ nd.node_locals @ nd.node_outputs) 
910 
 ImportedNode nd > 
911 
uneval_node_generics (nd.nodei_inputs @ nd.nodei_outputs) 
912 
 Const _ 
913 
 Open _ 
914 
 TypeDef _ > () 
915  
916 
let uneval_prog_generics prog = 
917 
List.iter uneval_top_generics prog 
918  
919 
let check_env_compat header declared computed = 
920 
uneval_prog_generics header; 
921 
Env.iter declared (fun k decl_clock_k > 
922 
let computed_c = instantiate (ref []) (ref []) (Env.lookup_value computed k) in 
923 
try_semi_unify decl_clock_k computed_c Location.dummy_loc 
924 
) 
925 
(* Local Variables: *) 
926 
(* compilecommand:"make C .." *) 
927 
(* End: *) 