lustrec / src / clock_calculus.ml @ 4f26dcf5
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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 Lustre_types 
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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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 Cvar > ck=cvar 
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 Cunivar > 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 > 
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if ck.cscoped then 
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raise (Scope_clock ck); 
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ck.cdesc < Cunivar 
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 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 > ck 
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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 > 
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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 true in 
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inst_ck_vars := (ck.cid, var)::!inst_ck_vars; 
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var 
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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  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 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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 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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match ck1.cdesc,ck2.cdesc with 
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 Cvar, Cvar > 
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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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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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end 
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 (Cvar, _) when (not (occurs ck1 ck2)) > 
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update_scope ck1.cscoped ck2; 
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ck1.cdesc < Clink (simplify ck2) 
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 (_, Cvar) when (not (occurs ck2 ck1)) > 
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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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 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.*) 
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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 
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() 
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else 
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match ck1.cdesc,ck2.cdesc with 
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 Cvar, Cvar > 
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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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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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end 
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 (Cvar, _) > raise (Unify (ck1,ck2)) 
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 (_, Cvar) when (not (occurs ck2 ck1)) > 
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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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semi_unify_carrier cr1 cr2; 
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semi_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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begin 
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semi_unify c1 c1'; 
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semi_unify c2 c2' 
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end 
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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 semi_unify ckl1 ckl2 
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 Con (ck',c1,l1), Con (ck'',c2,l2) when l1=l2 > 
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semi_unify_carrier c1 c2; 
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semi_unify ck' ck'' 
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 Cunivar, _  _, Cunivar > () 
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 _,_ > raise (Unify (ck1,ck2)) 
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(* Returns the value corresponding to a pclock (integer) factor 
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expression. Expects a constant expression (checked by typing). *) 
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let int_factor_of_expr e = 
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match e.expr_desc with 
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 Expr_const 
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(Const_int i) > i 
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 _ > failwith "Internal error: int_factor_of_expr" 
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(** [clock_uncarry ck] drops the possible carrier(s) name(s) from clock [ck] *) 
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let rec clock_uncarry ck = 
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let ck = repr ck in 
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match ck.cdesc with 
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 Ccarrying (_, ck') > ck' 
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 Con(ck', cr, l) > clock_on (clock_uncarry ck') cr l 
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 Ctuple ckl > clock_of_clock_list (List.map clock_uncarry ckl) 
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 _ > ck 
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let try_unify ck1 ck2 loc = 
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try 
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unify 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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 Mismatch (cr1,cr2) > 
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raise (Error (loc, Carrier_mismatch (cr1,cr2))) 
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let try_semi_unify ck1 ck2 loc = 
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try 
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semi_unify 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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 Mismatch (cr1,cr2) > 
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raise (Error (loc, Carrier_mismatch (cr1,cr2))) 
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(* ck2 is a subtype of ck1 *) 
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let rec sub_unify sub ck1 ck2 = 
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match (repr ck1).cdesc, (repr ck2).cdesc with 
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 Ctuple cl1 , Ctuple cl2 > 
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if List.length cl1 <> List.length cl2 
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then raise (Unify (ck1, ck2)) 
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else List.iter2 (sub_unify sub) cl1 cl2 
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 Ctuple [c1] , _ > sub_unify sub c1 ck2 
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 _ , Ctuple [c2] > sub_unify sub ck1 c2 
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 Con (c1, cr1, t1) , Con (c2, cr2, t2) when t1=t2 > 
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begin 
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unify_carrier cr1 cr2; 
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sub_unify sub c1 c2 
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end 
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 Ccarrying (cr1, c1), Ccarrying (cr2, c2)> 
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begin 
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unify_carrier cr1 cr2; 
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sub_unify sub c1 c2 
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end 
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 _, Ccarrying (_, c2) when sub > sub_unify sub ck1 c2 
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 _ > unify ck1 ck2 
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let try_sub_unify sub ck1 ck2 loc = 
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try 
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sub_unify sub 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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 Mismatch (cr1,cr2) > 
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raise (Error (loc, Carrier_mismatch (cr1,cr2))) 
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(* Unifies all the clock variables in the clock type of a tuple 
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expression, so that the clock type only uses at most one clock variable *) 
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let unify_tuple_clock ref_ck_opt ck loc = 
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(*(match ref_ck_opt with 
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 None > Format.eprintf "unify_tuple_clock None %a@." Clocks.print_ck ck 
390 
 Some ck' > Format.eprintf "unify_tuple_clock (Some %a) %a@." Clocks.print_ck ck' Clocks.print_ck ck);*) 
391 
let ck_var = ref ref_ck_opt in 
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let rec aux ck = 
393 
match (repr ck).cdesc with 
394 
 Con _ 
395 
 Cvar > 
396 
begin 
397 
match !ck_var with 
398 
 None > 
399 
ck_var:=Some ck 
400 
 Some v > 
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(* may fail *) 
402 
try_unify ck v loc 
403 
end 
404 
 Ctuple cl > 
405 
List.iter aux cl 
406 
 Carrow _ > assert false (* should not occur *) 
407 
 Ccarrying (_, ck1) > 
408 
aux ck1 
409 
 _ > () 
410 
in aux ck 
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412 
(* Unifies all the clock variables in the clock type of an imported 
413 
node, so that the clock type only uses at most one base clock variable, 
414 
that is, the activation clock of the node *) 
415 
let unify_imported_clock ref_ck_opt ck loc = 
416 
let ck_var = ref ref_ck_opt in 
417 
let rec aux ck = 
418 
match (repr ck).cdesc with 
419 
 Cvar > 
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begin 
421 
match !ck_var with 
422 
 None > 
423 
ck_var:=Some ck 
424 
 Some v > 
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(* cannot fail *) 
426 
try_unify ck v loc 
427 
end 
428 
 Ctuple cl > 
429 
List.iter aux cl 
430 
 Carrow (ck1,ck2) > 
431 
aux ck1; aux ck2 
432 
 Ccarrying (_, ck1) > 
433 
aux ck1 
434 
 Con (ck1, _, _) > aux ck1 
435 
 _ > () 
436 
in 
437 
aux ck 
438  
439 
(* Computes the root clock of a tuple or a node clock, 
440 
which is not the same as the base clock. 
441 
Root clock will be used as the call clock 
442 
of a given node instance *) 
443 
let compute_root_clock ck = 
444 
let root = Clocks.root ck in 
445 
let branch = ref None in 
446 
let rec aux ck = 
447 
match (repr ck).cdesc with 
448 
 Ctuple cl > 
449 
List.iter aux cl 
450 
 Carrow (ck1,ck2) > 
451 
aux ck1; aux ck2 
452 
 _ > 
453 
begin 
454 
match !branch with 
455 
 None > 
456 
branch := Some (Clocks.branch ck) 
457 
 Some br > 
458 
(* cannot fail *) 
459 
branch := Some (Clocks.common_prefix br (Clocks.branch ck)) 
460 
end 
461 
in 
462 
begin 
463 
aux ck; 
464 
Clocks.clock_of_root_branch root (Utils.desome !branch) 
465 
end 
466  
467 
(* Clocks a list of arguments of Lustre builtin operators: 
468 
 type each expression, remove carriers of clocks as 
469 
carriers may only denote variables, not arbitrary expr. 
470 
 try to unify these clocks altogether 
471 
*) 
472 
let rec clock_standard_args env expr_list = 
473 
let ck_list = List.map (fun e > clock_uncarry (clock_expr env e)) expr_list in 
474 
let ck_res = new_var true in 
475 
List.iter2 (fun e ck > try_unify ck ck_res e.expr_loc) expr_list ck_list; 
476 
ck_res 
477  
478 
(* emulates a subtyping relation between clocks c and (cr : c), 
479 
used during node application only *) 
480 
and clock_subtyping_arg env ?(sub=true) real_arg formal_clock = 
481 
let loc = real_arg.expr_loc in 
482 
let real_clock = clock_expr env real_arg in 
483 
try_sub_unify sub formal_clock real_clock loc 
484  
485 
(* computes clocks for node application *) 
486 
and clock_appl env f args clock_reset loc = 
487 
let args = expr_list_of_expr args in 
488 
if Basic_library.is_homomorphic_fun f && List.exists is_tuple_expr args 
489 
then 
490 
let args = Utils.transpose_list (List.map expr_list_of_expr args) in 
491 
Clocks.clock_of_clock_list (List.map (fun args > clock_call env f args clock_reset loc) args) 
492 
else 
493 
clock_call env f args clock_reset loc 
494  
495 
and clock_call env f args clock_reset loc = 
496 
let cfun = clock_ident false env f loc in 
497 
let cins, couts = split_arrow cfun in 
498 
let cins = clock_list_of_clock cins in 
499 
List.iter2 (clock_subtyping_arg env) args cins; 
500 
unify_imported_clock (Some clock_reset) cfun loc; 
501 
couts 
502  
503 
and clock_ident nocarrier env id loc = 
504 
clock_expr ~nocarrier:nocarrier env (expr_of_ident id loc) 
505  
506 
and clock_carrier env c loc ce = 
507 
let expr_c = expr_of_ident c loc in 
508 
let ck = clock_expr ~nocarrier:false env expr_c in 
509 
let cr = new_carrier Carry_name (*Carry_const c*) ck.cscoped in 
510 
let ckb = new_var true in 
511 
let ckcarry = new_ck (Ccarrying (cr, ckb)) ck.cscoped in 
512 
try_unify ck ckcarry expr_c.expr_loc; 
513 
unify_tuple_clock (Some ckb) ce expr_c.expr_loc; 
514 
cr 
515  
516 
(** [clock_expr env expr] performs the clock calculus for expression [expr] in 
517 
environment [env] *) 
518 
and clock_expr ?(nocarrier=true) env expr = 
519 
let resulting_ck = 
520 
match expr.expr_desc with 
521 
 Expr_const cst > 
522 
let ck = new_var true in 
523 
expr.expr_clock < ck; 
524 
ck 
525 
 Expr_ident v > 
526 
let ckv = 
527 
try 
528 
Env.lookup_value env v 
529 
with Not_found > 
530 
failwith ("Internal error, variable \""^v^"\" not found") 
531 
in 
532 
let ck = instantiate (ref []) (ref []) ckv in 
533 
expr.expr_clock < ck; 
534 
ck 
535 
 Expr_array elist > 
536 
let ck = clock_standard_args env elist in 
537 
expr.expr_clock < ck; 
538 
ck 
539 
 Expr_access (e1, d) > 
540 
(* dimension, being a static value, doesn't need to be clocked *) 
541 
let ck = clock_standard_args env [e1] in 
542 
expr.expr_clock < ck; 
543 
ck 
544 
 Expr_power (e1, d) > 
545 
(* dimension, being a static value, doesn't need to be clocked *) 
546 
let ck = clock_standard_args env [e1] in 
547 
expr.expr_clock < ck; 
548 
ck 
549 
 Expr_tuple elist > 
550 
let ck = new_ck (Ctuple (List.map (clock_expr env) elist)) true in 
551 
expr.expr_clock < ck; 
552 
ck 
553 
 Expr_ite (c, t, e) > 
554 
let ck_c = clock_standard_args env [c] in 
555 
let ck = clock_standard_args env [t; e] in 
556 
(* Here, the branches may exhibit a tuple clock, not the condition *) 
557 
unify_tuple_clock (Some ck_c) ck expr.expr_loc; 
558 
expr.expr_clock < ck; 
559 
ck 
560 
 Expr_appl (id, args, r) > 
561 
(try 
562 
(* for a modular compilation scheme, all inputs/outputs must share the same clock ! 
563 
this is also the reset clock ! 
564 
*) 
565 
let cr = 
566 
match r with 
567 
 None > new_var true 
568 
 Some c > clock_standard_args env [c] in 
569 
let couts = clock_appl env id args (clock_uncarry cr) expr.expr_loc in 
570 
expr.expr_clock < couts; 
571 
couts 
572 
with exn > ( 
573 
Format.eprintf "Current expr: %a@." Printers.pp_expr expr; 
574 
raise exn 
575 
)) 
576 
 Expr_fby (e1,e2) 
577 
 Expr_arrow (e1,e2) > 
578 
let ck = clock_standard_args env [e1; e2] in 
579 
unify_tuple_clock None ck expr.expr_loc; 
580 
expr.expr_clock < ck; 
581 
ck 
582 
 Expr_pre e > (* todo : deal with phases as in tail ? *) 
583 
let ck = clock_standard_args env [e] in 
584 
expr.expr_clock < ck; 
585 
ck 
586 
 Expr_when (e,c,l) > 
587 
let ce = clock_standard_args env [e] in 
588 
let c_loc = loc_of_cond expr.expr_loc c in 
589 
let cr = clock_carrier env c c_loc ce in 
590 
let ck = clock_on ce cr l in 
591 
let cr' = new_carrier (Carry_const c) ck.cscoped in 
592 
let ck' = clock_on ce cr' l in 
593 
expr.expr_clock < ck'; 
594 
ck 
595 
 Expr_merge (c,hl) > 
596 
let cvar = new_var true in 
597 
let crvar = new_carrier Carry_name true in 
598 
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; 
599 
let cr = clock_carrier env c expr.expr_loc cvar in 
600 
try_unify_carrier cr crvar expr.expr_loc; 
601 
let cres = clock_current ((snd (List.hd hl)).expr_clock) in 
602 
expr.expr_clock < cres; 
603 
cres 
604 
in 
605 
Log.report ~level:4 (fun fmt > Format.fprintf fmt "Clock of expr %a: %a@." Printers.pp_expr expr Clocks.print_ck resulting_ck); 
606 
resulting_ck 
607  
608 
let clock_of_vlist vars = 
609 
let ckl = List.map (fun v > v.var_clock) vars in 
610 
clock_of_clock_list ckl 
611  
612 
(** [clock_eq env eq] performs the clockcalculus for equation [eq] in 
613 
environment [env] *) 
614 
let clock_eq env eq = 
615 
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 
616 
let ck_rhs = clock_expr env eq.eq_rhs in 
617 
clock_subtyping_arg env expr_lhs ck_rhs 
618  
619 
(* [clock_coreclock cck] returns the clock_expr corresponding to clock 
620 
declaration [cck] *) 
621 
let clock_coreclock env cck id loc scoped = 
622 
match cck.ck_dec_desc with 
623 
 Ckdec_any > new_var scoped 
624 
 Ckdec_bool cl > 
625 
let temp_env = Env.add_value env id (new_var true) in 
626 
(* We just want the id to be present in the environment *) 
627 
let dummy_id_expr = expr_of_ident id loc in 
628 
let when_expr = 
629 
List.fold_left 
630 
(fun expr (x,l) > 
631 
{expr_tag = new_tag (); 
632 
expr_desc = Expr_when (expr,x,l); 
633 
expr_type = Types.new_var (); 
634 
expr_clock = new_var scoped; 
635 
expr_delay = Delay.new_var (); 
636 
expr_loc = loc; 
637 
expr_annot = None}) 
638 
dummy_id_expr cl 
639 
in 
640 
clock_expr temp_env when_expr 
641  
642 
(* Clocks a variable declaration *) 
643 
let clock_var_decl scoped env vdecl = 
644 
let ck = clock_coreclock env vdecl.var_dec_clock vdecl.var_id vdecl.var_loc scoped in 
645 
let ck = 
646 
(* WTF ???? 
647 
if vdecl.var_dec_const 
648 
then 
649 
(try_generalize ck vdecl.var_loc; ck) 
650 
else 
651 
*) 
652 
if Types.get_clock_base_type vdecl.var_type <> None 
653 
then new_ck (Ccarrying ((new_carrier Carry_name scoped),ck)) scoped 
654 
else ck in 
655 
(if vdecl.var_dec_const 
656 
then match vdecl.var_dec_value with 
657 
 None > () 
658 
 Some v > 
659 
begin 
660 
let ck_static = clock_expr env v in 
661 
try_unify ck ck_static v.expr_loc 
662 
end); 
663 
try_unify ck vdecl.var_clock vdecl.var_loc; 
664 
Env.add_value env vdecl.var_id ck 
665  
666 
(* Clocks a variable declaration list *) 
667 
let clock_var_decl_list env scoped l = 
668 
List.fold_left (clock_var_decl scoped) env l 
669  
670 
(** [clock_node env nd] performs the clockcalculus for node [nd] in 
671 
environment [env]. 
672 
Generalization of clocks wrt scopes follows this rule: 
673 
 generalize inputs (unscoped). 
674 
 generalize outputs. As they are scoped, only clocks coming from inputs 
675 
are allowed to be generalized. 
676 
 generalize locals. As outputs don't depend on them (checked the step before), 
677 
they can be generalized. 
678 
*) 
679 
let clock_node env loc nd = 
680 
(* let is_main = nd.node_id = !Options.main_node in *) 
681 
let new_env = clock_var_decl_list env false nd.node_inputs in 
682 
let new_env = clock_var_decl_list new_env true nd.node_outputs in 
683 
let new_env = clock_var_decl_list new_env true nd.node_locals in 
684 
let eqs, auts = get_node_eqs nd in (* TODO XXX: perform the clocking on auts. 
685 
For the moment, it is ignored *) 
686 
List.iter (clock_eq new_env) eqs; 
687 
let ck_ins = clock_of_vlist nd.node_inputs in 
688 
let ck_outs = clock_of_vlist nd.node_outputs in 
689 
let ck_node = new_ck (Carrow (ck_ins,ck_outs)) false in 
690 
unify_imported_clock None ck_node loc; 
691 
Log.report ~level:3 (fun fmt > print_ck fmt ck_node); 
692 
(* Local variables may contain firstorder carrier variables that should be generalized. 
693 
That's not the case for types. *) 
694 
try_generalize ck_node loc; 
695 
(* 
696 
List.iter (fun vdecl > try_generalize vdecl.var_clock vdecl.var_loc) nd.node_inputs; 
697 
List.iter (fun vdecl > try_generalize vdecl.var_clock vdecl.var_loc) nd.node_outputs;*) 
698 
(*List.iter (fun vdecl > try_generalize vdecl.var_clock vdecl.var_loc) nd.node_locals;*) 
699 
(* TODO : Xavier pourquoi ai je cette erreur ? *) 
700 
(* if (is_main && is_polymorphic ck_node) then 
701 
raise (Error (loc,(Cannot_be_polymorphic ck_node))); 
702 
*) 
703 
Log.report ~level:3 (fun fmt > print_ck fmt ck_node); 
704 
nd.node_clock < ck_node; 
705 
Env.add_value env nd.node_id ck_node 
706  
707  
708 
let check_imported_pclocks loc ck_node = 
709 
let pck = ref None in 
710 
let rec aux ck = 
711 
match ck.cdesc with 
712 
 Carrow (ck1,ck2) > aux ck1; aux ck2 
713 
 Ctuple cl > List.iter aux cl 
714 
 Con (ck',_,_) > aux ck' 
715 
 Clink ck' > aux ck' 
716 
 Ccarrying (_,ck') > aux ck' 
717 
 Cvar  Cunivar > 
718 
match !pck with 
719 
 None > () 
720 
 Some (_,_) > 
721 
raise (Error (loc, (Invalid_imported_clock ck_node))) 
722 
in 
723 
aux ck_node 
724  
725 
let clock_imported_node env loc nd = 
726 
let new_env = clock_var_decl_list env false nd.nodei_inputs in 
727 
ignore(clock_var_decl_list new_env false nd.nodei_outputs); 
728 
let ck_ins = clock_of_vlist nd.nodei_inputs in 
729 
let ck_outs = clock_of_vlist nd.nodei_outputs in 
730 
let ck_node = new_ck (Carrow (ck_ins,ck_outs)) false in 
731 
unify_imported_clock None ck_node loc; 
732 
check_imported_pclocks loc ck_node; 
733 
try_generalize ck_node loc; 
734 
nd.nodei_clock < ck_node; 
735 
Env.add_value env nd.nodei_id ck_node 
736  
737 
let clock_top_const env cdecl= 
738 
let ck = new_var false in 
739 
try_generalize ck cdecl.const_loc; 
740 
Env.add_value env cdecl.const_id ck 
741  
742 
let clock_top_consts env clist = 
743 
List.fold_left clock_top_const env clist 
744 

745 
let rec clock_top_decl env decl = 
746 
match decl.top_decl_desc with 
747 
 Node nd > 
748 
clock_node env decl.top_decl_loc nd 
749 
 ImportedNode nd > 
750 
clock_imported_node env decl.top_decl_loc nd 
751 
 Const c > 
752 
clock_top_const env c 
753 
 TypeDef _ > List.fold_left clock_top_decl env (consts_of_enum_type decl) 
754 
 Open _ > env 
755  
756 
let clock_prog env decls = 
757 
List.fold_left clock_top_decl env decls 
758  
759 
(* Once the Lustre program is fully clocked, 
760 
we must get back to the original description of clocks, 
761 
with constant parameters, instead of unifiable internal variables. *) 
762  
763 
(* The following functions aims at 'unevaluating' carriers occuring in clock expressions, 
764 
i.e. replacing unifiable second_order variables with the original carrier names. 
765 
Once restored in this formulation, clocks may be meaningfully printed. 
766 
*) 
767 
let uneval_vdecl_generics vdecl = 
768 
(*Format.eprintf "Clock_calculus.uneval_vdecl_generics %a@." Printers.pp_node_var vdecl;*) 
769 
if Types.get_clock_base_type vdecl.var_type <> None 
770 
then 
771 
match get_carrier_name vdecl.var_clock with 
772 
 None > (Format.eprintf "internal error: %a@." print_ck vdecl.var_clock; assert false) 
773 
 Some cr > Clocks.uneval vdecl.var_id cr 
774  
775 
let uneval_node_generics vdecls = 
776 
List.iter uneval_vdecl_generics vdecls 
777  
778 
let uneval_top_generics decl = 
779 
match decl.top_decl_desc with 
780 
 Node nd > 
781 
(* A node could contain firstorder carrier variable in local vars. This is not the case for types. *) 
782 
uneval_node_generics (nd.node_inputs @ nd.node_locals @ nd.node_outputs) 
783 
 ImportedNode nd > 
784 
uneval_node_generics (nd.nodei_inputs @ nd.nodei_outputs) 
785 
 Const _ 
786 
 Open _ 
787 
 TypeDef _ > () 
788  
789 
let uneval_prog_generics prog = 
790 
List.iter uneval_top_generics prog 
791  
792 
let check_env_compat header declared computed = 
793 
uneval_prog_generics header; 
794 
Env.iter declared (fun k decl_clock_k > 
795 
let computed_c = instantiate (ref []) (ref []) (Env.lookup_value computed k) in 
796 
try_semi_unify decl_clock_k computed_c Location.dummy_loc 
797 
) 
798 
(* Local Variables: *) 
799 
(* compilecommand:"make C .." *) 
800 
(* End: *) 