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BackendDAECreate.mo
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BackendDAECreate.mo
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/*
* This file is part of OpenModelica.
*
* Copyright (c) 1998-CurrentYear, Linköping University,
* Department of Computer and Information Science,
* SE-58183 Linköping, Sweden.
*
* All rights reserved.
*
* THIS PROGRAM IS PROVIDED UNDER THE TERMS OF GPL VERSION 3
* AND THIS OSMC PUBLIC LICENSE (OSMC-PL).
* ANY USE, REPRODUCTION OR DISTRIBUTION OF THIS PROGRAM CONSTITUTES RECIPIENT'S
* ACCEPTANCE OF THE OSMC PUBLIC LICENSE.
*
* The OpenModelica software and the Open Source Modelica
* Consortium (OSMC) Public License (OSMC-PL) are obtained
* from Linköping University, either from the above address,
* from the URLs: http://www.ida.liu.se/projects/OpenModelica or
* http://www.openmodelica.org, and in the OpenModelica distribution.
* GNU version 3 is obtained from: http://www.gnu.org/copyleft/gpl.html.
*
* This program is distributed WITHOUT ANY WARRANTY; without
* even the implied warranty of MERCHANTABILITY or FITNESS
* FOR A PARTICULAR PURPOSE, EXCEPT AS EXPRESSLY SET FORTH
* IN THE BY RECIPIENT SELECTED SUBSIDIARY LICENSE CONDITIONS
* OF OSMC-PL.
*
* See the full OSMC Public License conditions for more details.
*
*/
encapsulated package BackendDAECreate
" file: BackendDAECreate.mo
package: BackendDAECreate
description: This file contains all functions for transforming the DAE structure to the BackendDAE.
RCS: $Id$
"
public import Absyn;
public import Algorithm;
public import BackendDAE;
public import DAE;
public import Env;
protected import BackendDAEUtil;
protected import BackendDump;
protected import BackendEquation;
protected import BackendVariable;
protected import BackendVarTransform;
protected import BaseHashTable;
protected import CheckModel;
protected import ComponentReference;
protected import ClassInf;
protected import DAEDump;
protected import DAEUtil;
protected import Debug;
protected import Derive;
protected import Error;
protected import Expression;
protected import ExpressionSimplify;
protected import ExpressionDump;
protected import Flags;
protected import HashTableExpToIndex;
protected import HashTable;
protected import Inline;
protected import List;
protected import SCode;
protected import System;
protected import Util;
public function lower
"function: lower
This function translates a DAE, which is the result from instantiating a
class, into a more precise form, called BackendDAE.BackendDAE defined in this module.
The BackendDAE.BackendDAE representation splits the DAE into equations and variables
and further divides variables into known and unknown variables and the
equations into simple and nonsimple equations.
The variables are inserted into a hash table. This gives a lookup cost of
O(1) for finding a variable. The equations are put in an expandable
array. Where adding a new equation can be done in O(1) time if space
is available.
inputs: lst: DAE.DAElist, inCache: Env.Cache, inEnv: Env.Env
outputs: BackendDAE.BackendDAE"
input DAE.DAElist lst;
input Env.Cache inCache;
input Env.Env inEnv;
output BackendDAE.BackendDAE outBackendDAE;
protected
BackendDAE.Variables vars,knvars,vars_1,extVars,aliasVars;
list<BackendDAE.Equation> eqns,reqns,ieqns,algeqns,algeqns1,ialgeqns,multidimeqns,imultidimeqns,eqns_1,ceeqns,iceeqns;
list<DAE.Constraint> constrs;
list<DAE.ClassAttributes> clsAttrs;
list<BackendDAE.WhenClause> whenclauses,whenclauses_1;
BackendDAE.EquationArray eqnarr,reqnarr,ieqnarr;
array<DAE.Constraint> constrarra;
array<DAE.ClassAttributes> clsattrsarra;
BackendDAE.ExternalObjectClasses extObjCls;
BackendDAE.SymbolicJacobians symjacs;
BackendDAE.EventInfo einfo;
list<DAE.Element> elems,aliaseqns;
list<BackendDAE.ZeroCrossing> zero_crossings;
DAE.FunctionTree functionTree;
algorithm
System.realtimeTick(BackendDAE.RT_CLOCK_EXECSTAT_BACKEND_MODULES);
Debug.execStat("Enter Backend",BackendDAE.RT_CLOCK_EXECSTAT_BACKEND_MODULES);
functionTree := Env.getFunctionTree(inCache);
(DAE.DAE(elems),functionTree) := processDelayExpressions(lst,functionTree);
vars := BackendDAEUtil.emptyVars();
knvars := BackendDAEUtil.emptyVars();
extVars := BackendDAEUtil.emptyVars();
(vars,knvars,extVars,eqns,reqns,ieqns,constrs,clsAttrs,whenclauses,extObjCls,aliaseqns) := lower2(listReverse(elems), functionTree, vars, knvars, extVars, {}, {}, {}, {}, {}, {}, {}, {});
whenclauses_1 := listReverse(whenclauses);
aliasVars := BackendDAEUtil.emptyVars();
// handle alias equations
(vars,knvars,extVars,aliasVars,eqns,reqns,ieqns,whenclauses_1) := handleAliasEquations(aliaseqns,vars,knvars,extVars,aliasVars,eqns,reqns,ieqns,whenclauses_1);
vars_1 := detectImplicitDiscrete(vars,knvars,eqns);
eqnarr := BackendDAEUtil.listEquation(eqns);
reqnarr := BackendDAEUtil.listEquation(reqns);
ieqnarr := BackendDAEUtil.listEquation(ieqns);
constrarra := listArray(constrs);
clsattrsarra := listArray(clsAttrs);
einfo := BackendDAE.EVENT_INFO(whenclauses_1,{});
symjacs := {(NONE(),({},({},{})),{}),(NONE(),({},({},{})),{}),(NONE(),({},({},{})),{}),(NONE(),({},({},{})),{})};
outBackendDAE := BackendDAE.DAE(BackendDAE.EQSYSTEM(vars_1,eqnarr,NONE(),NONE(),BackendDAE.NO_MATCHING())::{},BackendDAE.SHARED(knvars,extVars,aliasVars,ieqnarr,reqnarr,constrarra,clsattrsarra,inCache,inEnv,functionTree,einfo,extObjCls,BackendDAE.SIMULATION(),symjacs));
BackendDAEUtil.checkBackendDAEWithErrorMsg(outBackendDAE);
Debug.fcall(Flags.DUMP_BACKENDDAE_INFO,print,"No. of Equations: " +& intString(BackendDAEUtil.equationSize(eqnarr)) +& "\nNo. of Variables: " +& intString(BackendVariable.varsSize(vars_1)) +& "\n");
Debug.execStat("generate Backend Data Structure",BackendDAE.RT_CLOCK_EXECSTAT_BACKEND_MODULES);
end lower;
protected function lower2
"Helper function to lower."
input list<DAE.Element> inElements "input is in reverse order. this is faster than reversing all accumulators at the end";
input DAE.FunctionTree functionTree;
input BackendDAE.Variables inVars "The time depend Variables";
input BackendDAE.Variables inKnVars "The time independend Variables";
input BackendDAE.Variables inExVars "The external Variables";
input list<BackendDAE.Equation> inEqnsLst "The dynamic Equations/Algoritms";
input list<BackendDAE.Equation> inREqnsLst "The algebraic Equations";
input list<BackendDAE.Equation> inIEqnsLst "The initial Equations";
input list<DAE.Constraint> inConstraintLst;
input list<DAE.ClassAttributes> inClassAttributeLst;
input list<BackendDAE.WhenClause> inWhenClauseLst;
input BackendDAE.ExternalObjectClasses inExtObjClasses;
input list<DAE.Element> iAliaseqns "List with all EqualityEquations";
output BackendDAE.Variables outVariables;
output BackendDAE.Variables outKnownVariables;
output BackendDAE.Variables outExternalVariables;
output list<BackendDAE.Equation> oEqnsLst;
output list<BackendDAE.Equation> oREqnsLst;
output list<BackendDAE.Equation> oIEqnsLst;
output list<DAE.Constraint> outConstraintLst;
output list<DAE.ClassAttributes> outClassAttributeLst;
output list<BackendDAE.WhenClause> outWhenClauseLst;
output BackendDAE.ExternalObjectClasses outExtObjClasses;
output list<DAE.Element> oAliaseqns;
algorithm
(outVariables,outKnownVariables,outExternalVariables,oEqnsLst,oREqnsLst,oIEqnsLst,
outConstraintLst,outClassAttributeLst,outWhenClauseLst,outExtObjClasses,oAliaseqns):=
match (inElements,functionTree,inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,inIEqnsLst,
inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns)
local
BackendDAE.Variables vars,knvars,extVars;
list<BackendDAE.WhenClause> whenclauses;
list<BackendDAE.Equation> eqns,reqns,ieqns;
list<DAE.Constraint> constrs;
list<DAE.ClassAttributes> clsAttrs;
BackendDAE.ExternalObjectClasses extObjCls;
DAE.Element daeEl;
list<DAE.Element> daeLstRest,aliaseqns;
// the empty case
case ({},_,_,_,_,_,_,_,_,_,_,_,_)
then
(inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
case (daeEl::daeLstRest,_,_,_,_,_,_,_,_,_,_,_,_)
equation
(vars,knvars,extVars,eqns,reqns,ieqns,constrs,clsAttrs,whenclauses,extObjCls,aliaseqns) =
lower3(daeEl,functionTree,inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
(vars,knvars,extVars,eqns,reqns,ieqns,constrs,clsAttrs,whenclauses,extObjCls,aliaseqns) =
lower2(daeLstRest,functionTree,vars,knvars,extVars,eqns,reqns,ieqns,constrs,clsAttrs,whenclauses,extObjCls,aliaseqns);
then
(vars,knvars,extVars,eqns,reqns,ieqns,constrs,clsAttrs,whenclauses,extObjCls,aliaseqns);
end match;
end lower2;
protected function lower3
"Helper function to lower."
input DAE.Element inElement "input is in reverse order. this is faster than reversing all accumulators at the end";
input DAE.FunctionTree functionTree;
input BackendDAE.Variables inVars "The time depend Variables";
input BackendDAE.Variables inKnVars "The time independend Variables";
input BackendDAE.Variables inExVars "The external Variables";
input list<BackendDAE.Equation> inEqnsLst "The dynamic Equations/Algoritms";
input list<BackendDAE.Equation> inREqnsLst "The algebraic Equations";
input list<BackendDAE.Equation> inIEqnsLst "The initial Equations";
input list<DAE.Constraint> inConstraintLst;
input list<DAE.ClassAttributes> inClassAttributeLst;
input list<BackendDAE.WhenClause> inWhenClauseLst;
input BackendDAE.ExternalObjectClasses inExtObjClasses;
input list<DAE.Element> iAliaseqns "List with all EqualityEquations";
output BackendDAE.Variables outVariables;
output BackendDAE.Variables outKnownVariables;
output BackendDAE.Variables outExternalVariables;
output list<BackendDAE.Equation> oEqnsLst;
output list<BackendDAE.Equation> oREqnsLst;
output list<BackendDAE.Equation> oIEqnsLst;
output list<DAE.Constraint> outConstraintLst;
output list<DAE.ClassAttributes> outClassAttributeLst;
output list<BackendDAE.WhenClause> outWhenClauseLst;
output BackendDAE.ExternalObjectClasses outExtObjClasses;
output list<DAE.Element> oAliaseqns;
algorithm
(outVariables,outKnownVariables,outExternalVariables,oEqnsLst,oREqnsLst,oIEqnsLst,
outConstraintLst,outClassAttributeLst,outWhenClauseLst,outExtObjClasses,oAliaseqns):=
match (inElement,functionTree,inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,inIEqnsLst,
inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns)
local
list<DAE.Element> daeElts,aliaseqns;
DAE.Constraint cons_1;
list<DAE.Constraint> constrs;
list<DAE.ClassAttributes> clsAttrs;
Absyn.Path path;
BackendDAE.Variables vars,knvars,extVars;
BackendDAE.ExternalObjectClasses extObjCls;
BackendDAE.ExternalObjectClass extObjCl;
list<BackendDAE.Equation> eqns,reqns,ieqns;
list<BackendDAE.WhenClause> whenclauses;
DAE.ElementSource source;
list<DAE.Exp> explst;
DAE.Exp e2;
// class for external object
case (DAE.EXTOBJECTCLASS(path,source),_,_,_,_,_,_,_,_,_,_,_,_)
equation
extObjCl = BackendDAE.EXTOBJCLASS(path,source);
then
(inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,extObjCl::inExtObjClasses,iAliaseqns);
// variables
case (DAE.VAR(componentRef = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
(vars,knvars,extVars,eqns) = lowerVar(inElement,functionTree,inVars,inKnVars,inExVars,inEqnsLst);
then
(vars,knvars,extVars,eqns,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
/* Only succeds for tuple equations, i.e. (a,b,c) = foo(x,y,z) or foo(x,y,z) = (a,b,c) */
case(DAE.EQUATION(DAE.TUPLE(explst),e2 as DAE.CALL(path =_),source),_,_,_,_,_,_,_,_,_,_,_,_)
equation
(eqns,reqns,ieqns) = lowerAlgorithm(DAE.ALGORITHM(DAE.ALGORITHM_STMTS({DAE.STMT_TUPLE_ASSIGN(DAE.T_UNKNOWN_DEFAULT,explst,e2,source)}),source),functionTree,inEqnsLst,inREqnsLst,inIEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,reqns,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
case(DAE.EQUATION(e2 as DAE.CALL(path =_),DAE.TUPLE(explst),source),_,_,_,_,_,_,_,_,_,_,_,_)
equation
(eqns,reqns,ieqns) = lowerAlgorithm(DAE.ALGORITHM(DAE.ALGORITHM_STMTS({DAE.STMT_TUPLE_ASSIGN(DAE.T_UNKNOWN_DEFAULT,explst,e2,source)}),source),functionTree,inEqnsLst,inREqnsLst,inIEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,reqns,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// scalar equations
case (DAE.EQUATION(exp = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
eqns = lowerEqn(inElement,functionTree,inEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// initial equations
case (DAE.INITIALEQUATION(exp1 = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
ieqns = lowerEqn(inElement,functionTree,inIEqnsLst);
then
(inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// effort variable equality equations, seperated to generate alias variables
case (DAE.EQUEQUATION(cr1 = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
eqns = lowerEqn(inElement,functionTree,inEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,/*inElement::*/iAliaseqns);
// a solved equation
case (DAE.DEFINE(componentRef = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
eqns = lowerEqn(inElement,functionTree,inEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// complex equations
case (DAE.COMPLEX_EQUATION(lhs = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
eqns = lowerEqn(inElement,functionTree,inEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// complex initial equations
case (DAE.INITIAL_COMPLEX_EQUATION(lhs = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
ieqns = lowerEqn(inElement,functionTree,inIEqnsLst);
then
(inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// array equations
case (DAE.ARRAY_EQUATION(exp = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
eqns = lowerEqn(inElement,functionTree,inEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// initial array equations
case (DAE.INITIAL_ARRAY_EQUATION(exp = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
ieqns = lowerEqn(inElement,functionTree,inIEqnsLst);
then
(inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// when equations
case (DAE.WHEN_EQUATION(condition = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
(eqns,whenclauses) = lowerWhenEqn(inElement,functionTree,inEqnsLst,inWhenClauseLst);
then
(inVars,inKnVars,inExVars,eqns,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,whenclauses,inExtObjClasses,iAliaseqns);
// if equation that cannot be translated to if expression but have initial() as condition
case (DAE.IF_EQUATION(condition1 = {DAE.CALL(path=Absyn.IDENT("initial"))},equations2=_::{},equations3={}),_,_,_,_,_,_,_,_,_,_,_,_)
equation
ieqns = lowerEqn(inElement,functionTree,inIEqnsLst);
then
(inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// if equation
case (DAE.IF_EQUATION(condition1 = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
eqns = lowerEqn(inElement,functionTree,inEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// initial if equation
case (DAE.INITIAL_IF_EQUATION(condition1 = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
ieqns = lowerEqn(inElement,functionTree,inIEqnsLst);
then
(inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// algorithm
case (DAE.ALGORITHM(algorithm_ = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
(eqns,reqns,ieqns) = lowerAlgorithm(inElement,functionTree,inEqnsLst,inREqnsLst,inIEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,reqns,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// initial algorithm
case (DAE.INITIALALGORITHM(algorithm_ = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
(eqns,reqns,ieqns) = lowerAlgorithm(inElement,functionTree,inEqnsLst,inREqnsLst,inIEqnsLst);
then
(inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// flat class / COMP
case (DAE.COMP(dAElist = daeElts),_,_,_,_,_,_,_,_,_,_,_,_)
equation
(vars,knvars,extVars,eqns,reqns,ieqns,constrs,clsAttrs,whenclauses,extObjCls,aliaseqns) = lower2(listReverse(daeElts),functionTree,inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,inIEqnsLst,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
then
(vars,knvars,extVars,eqns,reqns,ieqns,constrs,clsAttrs,whenclauses,extObjCls,aliaseqns);
// assert in equation section is converted to ALGORITHM
case (DAE.ASSERT(condition = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
(eqns,reqns,ieqns) = lowerAlgorithm(inElement,functionTree,inEqnsLst,inREqnsLst,inIEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,reqns,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// terminate in equation section is converted to ALGORITHM
case (DAE.TERMINATE(message = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
(eqns,reqns,ieqns) = lowerAlgorithm(inElement,functionTree,inEqnsLst,inREqnsLst,inIEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,reqns,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
case (DAE.NORETCALL(functionName = _),_,_,_,_,_,_,_,_,_,_,_,_)
equation
(eqns,reqns,ieqns) = lowerAlgorithm(inElement,functionTree,inEqnsLst,inREqnsLst,inIEqnsLst);
then
(inVars,inKnVars,inExVars,eqns,reqns,ieqns,inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
// constraint (Optimica) Just pass the constraints for now. Should anything more be done here?
case (DAE.CONSTRAINT(constraints = cons_1),_,_,_,_,_,_,_,_,_,_,_,_)
then
(inVars,inKnVars,inExVars,inEqnsLst,inREqnsLst,inIEqnsLst,cons_1::inConstraintLst,inClassAttributeLst,inWhenClauseLst,inExtObjClasses,iAliaseqns);
case (_,_,_,_,_,_,_,_,_,_,_,_,_)
equation
// show only on failtrace!
true = Flags.isSet(Flags.FAILTRACE);
Debug.traceln("- BackendDAECreate.lower3 failed on: " +& DAEDump.dumpElementsStr({inElement}));
then
fail();
end match;
end lower3;
/*
* lower all variables
*/
protected function lowerVar
"function: lowerVar
Transforms a DAE variable to DAE variable.
Includes changing the ComponentRef name to a simpler form
\'a\'.\'b\'{2}\'c\'{5} becomes
\'a.b{2}.c\' (as CREF_IDENT(\"a.b.c\",{2}) )
inputs: (DAE.Element)
outputs: Var"
input DAE.Element inElement;
input DAE.FunctionTree functionTree;
input BackendDAE.Variables inVars "The time depend Variables";
input BackendDAE.Variables inKnVars "The time independend Variables";
input BackendDAE.Variables inExVars "The external Variables";
input list<BackendDAE.Equation> inEqnsLst "The dynamic Equations/Algoritms";
output BackendDAE.Variables outVariables;
output BackendDAE.Variables outKnownVariables;
output BackendDAE.Variables outExternalVariables;
output list<BackendDAE.Equation> oEqnsLst;
algorithm
(outVariables,outKnownVariables,outExternalVariables,oEqnsLst) :=
matchcontinue (inElement,functionTree,inVars,inKnVars,inExVars,inEqnsLst)
local
DAE.ComponentRef cr;
DAE.ElementSource source;
BackendDAE.Var backendVar1;
DAE.Exp e1,e2;
BackendDAE.Variables vars,knvars,extvars;
String str;
// external object variables
case (DAE.VAR(ty = DAE.T_COMPLEX(complexClassType = ClassInf.EXTERNAL_OBJ(path=_))),_,_,_,_,_)
equation
backendVar1 = lowerExtObjVar(inElement,functionTree);
extvars = BackendVariable.addVar(backendVar1, inExVars);
then
(inVars,inKnVars,extvars,inEqnsLst);
// variables: states and algebraic variables with binding equation
case (DAE.VAR(componentRef = cr,binding=SOME(e2), source = source),_,_,_,_,_)
equation
// adrpo 2009-09-07 - according to MathCore
// add the binding as an equation and remove the binding from variable!
true = isStateOrAlgvar(inElement);
(backendVar1) = lowerDynamicVar(inElement,functionTree);
(e2,source,_) = Inline.inlineExp(e2,(SOME(functionTree),{DAE.NORM_INLINE()}),source);
vars = BackendVariable.addVar(backendVar1, inVars);
e1 = Expression.crefExp(cr);
then
(vars,inKnVars,inExVars,BackendDAE.EQUATION(e1, e2, source)::inEqnsLst);
// variables: states and algebraic variables with NO binding equation
case (DAE.VAR(binding=NONE(), source = source),_,_,_,_,_)
equation
true = isStateOrAlgvar(inElement);
(backendVar1) = lowerDynamicVar(inElement,functionTree);
vars = BackendVariable.addVar(backendVar1, inVars);
then
(vars,inKnVars,inExVars,inEqnsLst);
// known variables: parameters and constants
case (DAE.VAR(componentRef = _),_,_,_,_,_)
equation
backendVar1 = lowerKnownVar(inElement,functionTree) "in previous rule, lower_var failed." ;
knvars = BackendVariable.addVar(backendVar1, inKnVars);
then
(inVars,knvars,inExVars,inEqnsLst);
else
equation
str = "BackendDAECreate.lowerVar failed for " +& DAEDump.dumpElementsStr({inElement});
Error.addMessage(Error.INTERNAL_ERROR, {str});
then fail();
end matchcontinue;
end lowerVar;
protected function isStateOrAlgvar
"@author adrpo
check if this variable is a state or algebraic"
input DAE.Element e;
output Boolean out;
algorithm
out := match (e)
case (DAE.VAR(kind = DAE.VARIABLE())) then true;
case (DAE.VAR(kind = DAE.DISCRETE())) then true;
else false;
end match;
end isStateOrAlgvar;
protected function lowerDynamicVar
"function: lowerDynamicVar
Transforms a DAE variable to DAE variable.
Includes changing the ComponentRef name to a simpler form
\'a\'.\'b\'{2}\'c\'{5} becomes
\'a.b{2}.c\' (as CREF_IDENT(\"a.b.c\",{2}) )
inputs: DAE.Element
outputs: Var"
input DAE.Element inElement;
input DAE.FunctionTree functionTree;
output BackendDAE.Var outVar;
algorithm
(outVar) := match (inElement,functionTree)
local
list<DAE.Subscript> dims;
DAE.ComponentRef name;
BackendDAE.VarKind kind_1;
DAE.VarKind kind;
DAE.VarDirection dir;
DAE.VarParallelism prl;
BackendDAE.Type tp;
DAE.ConnectorType ct;
DAE.ElementSource source;
Option<DAE.VariableAttributes> dae_var_attr;
Option<SCode.Comment> comment;
DAE.Type t;
DAE.VarVisibility protection;
Boolean b;
case (DAE.VAR(componentRef = name,
kind = kind,
direction = dir,
parallelism = prl,
protection = protection,
ty = t,
dims = dims,
connectorType = ct,
source = source,
variableAttributesOption = dae_var_attr,
absynCommentOption = comment),_)
equation
(kind_1) = lowerVarkind(kind, t, name, dir, ct, dae_var_attr);
tp = lowerType(t);
b = DAEUtil.boolVarVisibility(protection);
dae_var_attr = DAEUtil.setProtectedAttr(dae_var_attr,b);
dae_var_attr = setMinMaxFromEnumeration(t,dae_var_attr);
_ = BackendVariable.getMinMaxAsserts(dae_var_attr,name,source,kind_1,tp);
_ = BackendVariable.getNominalAssert(dae_var_attr,name,source,kind_1,tp);
(dae_var_attr,source,_) = Inline.inlineStartAttribute(dae_var_attr,source,(SOME(functionTree),{DAE.NORM_INLINE()}));
then
(BackendDAE.VAR(name,kind_1,dir,prl,tp,NONE(),NONE(),dims,source,dae_var_attr,comment,ct));
end match;
end lowerDynamicVar;
protected function lowerKnownVar
"function: lowerKnownVar
Helper function to lower2"
input DAE.Element inElement;
input DAE.FunctionTree functionTree;
output BackendDAE.Var outVar;
algorithm
outVar := matchcontinue (inElement,functionTree)
local
list<DAE.Subscript> dims;
DAE.ComponentRef name;
BackendDAE.VarKind kind_1;
Option<DAE.Exp> bind,bind1;
DAE.VarKind kind;
DAE.VarDirection dir;
DAE.VarParallelism prl;
BackendDAE.Type tp;
DAE.ConnectorType ct;
DAE.ElementSource source "origin of equation";
Option<DAE.VariableAttributes> dae_var_attr;
Option<SCode.Comment> comment;
DAE.Type t;
DAE.VarVisibility protection;
Boolean b;
String str;
Inline.Functiontuple fnstpl;
case (DAE.VAR(componentRef = name,
kind = kind,
direction = dir,
parallelism = prl,
protection = protection,
ty = t,
binding = bind,
dims = dims,
connectorType = ct,
source = source,
variableAttributesOption = dae_var_attr,
absynCommentOption = comment),_)
equation
kind_1 = lowerKnownVarkind(kind, name, dir, ct);
// bind = fixParameterStartBinding(bind,t,dae_var_attr,kind_1);
tp = lowerType(t);
b = DAEUtil.boolVarVisibility(protection);
dae_var_attr = DAEUtil.setProtectedAttr(dae_var_attr,b);
dae_var_attr = setMinMaxFromEnumeration(t,dae_var_attr);
_ = BackendVariable.getMinMaxAsserts(dae_var_attr,name,source,kind_1,tp);
_ = BackendVariable.getNominalAssert(dae_var_attr,name,source,kind_1,tp);
fnstpl = (SOME(functionTree),{DAE.NORM_INLINE()});
(bind1,source,b) = Inline.inlineExpOpt(bind,fnstpl,source);
(dae_var_attr,source,_) = Inline.inlineStartAttribute(dae_var_attr,source,fnstpl);
then
BackendDAE.VAR(name,kind_1,dir,prl,tp,bind1,NONE(),dims,source,dae_var_attr,comment,ct);
else
equation
str = "BackendDAECreate.lowerKnownVar failed for " +& DAEDump.dumpElementsStr({inElement});
Error.addMessage(Error.INTERNAL_ERROR, {str});
then fail();
end matchcontinue;
end lowerKnownVar;
protected function setMinMaxFromEnumeration
input DAE.Type inType;
input Option<DAE.VariableAttributes> inVarAttr;
output Option<DAE.VariableAttributes> outVarAttr;
algorithm
outVarAttr := matchcontinue (inType,inVarAttr)
local
Option<DAE.Exp> min,max;
list<String> names;
Absyn.Path path;
case (DAE.T_ENUMERATION(path=path,names = names),_)
equation
(min,max) = DAEUtil.getMinMaxValues(inVarAttr);
then
setMinMaxFromEnumeration1(min,max,inVarAttr,path,names);
else inVarAttr;
end matchcontinue;
end setMinMaxFromEnumeration;
protected function setMinMaxFromEnumeration1
input Option<DAE.Exp> inMin;
input Option<DAE.Exp> inMax;
input Option<DAE.VariableAttributes> inVarAttr;
input Absyn.Path inPath;
input list<String> inNames;
output Option<DAE.VariableAttributes> outVarAttr;
algorithm
outVarAttr := matchcontinue (inMin,inMax,inVarAttr,inPath,inNames)
local
Integer i;
Absyn.Path namee1,nameen;
String s1,sn;
DAE.Exp e;
case (NONE(),NONE(),_,_,_)
equation
i = listLength(inNames);
s1 = listGet(inNames,1);
namee1 = Absyn.joinPaths(inPath,Absyn.IDENT(s1));
sn = listGet(inNames,i);
nameen = Absyn.joinPaths(inPath,Absyn.IDENT(sn));
then
DAEUtil.setMinMax(inVarAttr,(SOME(DAE.ENUM_LITERAL(namee1,1)),SOME(DAE.ENUM_LITERAL(nameen,i))));
case (NONE(),SOME(e),_,_,_)
equation
i = listLength(inNames);
s1 = listGet(inNames,1);
namee1 = Absyn.joinPaths(inPath,Absyn.IDENT(s1));
then
DAEUtil.setMinMax(inVarAttr,(SOME(DAE.ENUM_LITERAL(namee1,1)),SOME(e)));
case (SOME(e),NONE(),_,_,_)
equation
i = listLength(inNames);
sn = listGet(inNames,i);
nameen = Absyn.joinPaths(inPath,Absyn.IDENT(sn));
then
DAEUtil.setMinMax(inVarAttr,(SOME(e),SOME(DAE.ENUM_LITERAL(nameen,i))));
else inVarAttr;
end matchcontinue;
end setMinMaxFromEnumeration1;
protected function fixParameterStartBinding
input Option<DAE.Exp> bind;
input DAE.Type ty;
input Option<DAE.VariableAttributes> attr;
input BackendDAE.VarKind kind;
output Option<DAE.Exp> outBind;
algorithm
outBind := matchcontinue (bind,ty,attr,kind)
local
DAE.Exp exp;
case (NONE(),DAE.T_REAL(source=_),_,BackendDAE.PARAM())
equation
exp = DAEUtil.getStartAttr(attr);
then SOME(exp);
else bind;
end matchcontinue;
end fixParameterStartBinding;
protected function lowerVarkind
"function: lowerVarkind
Helper function to lowerVar.
inputs: (DAE.VarKind,
Type,
DAE.ComponentRef,
DAE.VarDirection, /* input/output/bidir */
DAE.ConnectorType)
outputs VarKind
NOTE: Fails for not states that are not algebraic
variables, e.g. parameters and constants"
input DAE.VarKind inVarKind;
input DAE.Type inType;
input DAE.ComponentRef inComponentRef;
input DAE.VarDirection inVarDirection;
input DAE.ConnectorType inConnectorType;
input Option<DAE.VariableAttributes> daeAttr;
output BackendDAE.VarKind outVarKind;
algorithm
(outVarKind) := matchcontinue (inVarKind,inType,inComponentRef,inVarDirection,inConnectorType,daeAttr)
// Or states have StateSelect.always
case (DAE.VARIABLE(),_,_,_,_,SOME(DAE.VAR_ATTR_REAL(stateSelectOption = SOME(DAE.ALWAYS()))))
then (BackendDAE.STATE());
// Or states have StateSelect.prefer
case (DAE.VARIABLE(),_,_,_,_,SOME(DAE.VAR_ATTR_REAL(stateSelectOption = SOME(DAE.PREFER()))))
then (BackendDAE.STATE());
case (DAE.VARIABLE(),DAE.T_BOOL(varLst = _),_,_,_,_)
equation
failure(BackendVariable.topLevelInput(inComponentRef, inVarDirection, inConnectorType));
then
(BackendDAE.DISCRETE());
case (DAE.DISCRETE(),DAE.T_BOOL(varLst = _),_,_,_,_)
equation
failure(BackendVariable.topLevelInput(inComponentRef, inVarDirection, inConnectorType));
then
(BackendDAE.DISCRETE());
case (DAE.VARIABLE(),DAE.T_INTEGER(varLst = _),_,_,_,_)
equation
failure(BackendVariable.topLevelInput(inComponentRef, inVarDirection, inConnectorType));
then
(BackendDAE.DISCRETE());
case (DAE.DISCRETE(),DAE.T_INTEGER(varLst = _),_,_,_,_)
equation
failure(BackendVariable.topLevelInput(inComponentRef, inVarDirection, inConnectorType));
then
(BackendDAE.DISCRETE());
case (DAE.VARIABLE(),DAE.T_ENUMERATION(names = _),_,_,_,_)
equation
failure(BackendVariable.topLevelInput(inComponentRef, inVarDirection, inConnectorType));
then
(BackendDAE.DISCRETE());
case (DAE.DISCRETE(),DAE.T_ENUMERATION(names = _),_,_,_,_)
equation
failure(BackendVariable.topLevelInput(inComponentRef, inVarDirection, inConnectorType));
then
(BackendDAE.DISCRETE());
case (DAE.VARIABLE(),_,_,_,_,_)
equation
failure(BackendVariable.topLevelInput(inComponentRef, inVarDirection, inConnectorType));
then
(BackendDAE.VARIABLE());
case (DAE.DISCRETE(),_,_,_,_,_)
equation
failure(BackendVariable.topLevelInput(inComponentRef, inVarDirection, inConnectorType));
then
(BackendDAE.DISCRETE());
end matchcontinue;
end lowerVarkind;
protected function lowerKnownVarkind
"function: lowerKnownVarkind
Helper function to lowerKnownVar.
NOTE: Fails for everything but parameters and constants and top level inputs"
input DAE.VarKind inVarKind;
input DAE.ComponentRef inComponentRef;
input DAE.VarDirection inVarDirection;
input DAE.ConnectorType inConnectorType;
output BackendDAE.VarKind outVarKind;
algorithm
outVarKind := matchcontinue (inVarKind,inComponentRef,inVarDirection,inConnectorType)
case (DAE.PARAM(),_,_,_) then BackendDAE.PARAM();
case (DAE.CONST(),_,_,_) then BackendDAE.CONST();
case (DAE.VARIABLE(),_,_,_)
equation
BackendVariable.topLevelInput(inComponentRef,inVarDirection,inConnectorType);
then
BackendDAE.VARIABLE();
// adrpo: topLevelInput might fail!
// case (DAE.VARIABLE(),cr,dir,flowPrefix)
// then
// BackendDAE.VARIABLE();
case (_,_,_,_)
equation
print("lowerKnownVarkind failed\n");
then
fail();
end matchcontinue;
end lowerKnownVarkind;
protected function lowerType
"Transforms a DAE.Type to Type"
input DAE.Type inType;
output BackendDAE.Type outType;
algorithm
outType := matchcontinue(inType)
local
case (DAE.T_REAL(varLst = _)) then DAE.T_REAL_DEFAULT;
case (DAE.T_INTEGER(varLst = _)) then DAE.T_INTEGER_DEFAULT;
case (DAE.T_BOOL(varLst = _)) then DAE.T_BOOL_DEFAULT;
case (DAE.T_STRING(varLst = _)) then DAE.T_STRING_DEFAULT;
case (DAE.T_ENUMERATION(names = _)) then inType;
case (DAE.T_COMPLEX(complexClassType = ClassInf.EXTERNAL_OBJ(path=_)))
then inType;
else equation print("lowerType failed\n"); then fail();
end matchcontinue;
end lowerType;
protected function lowerExtObjVar
" Helper function to lower2
Fails for all variables except external object instances."
input DAE.Element inElement;
input DAE.FunctionTree functionTree;
output BackendDAE.Var outVar;
algorithm
outVar:=
match (inElement,functionTree)
local
list<DAE.Subscript> dims;
DAE.ComponentRef name;
BackendDAE.VarKind kind_1;
Option<DAE.Exp> bind;
DAE.VarKind kind;
DAE.VarDirection dir;
DAE.VarParallelism prl;
BackendDAE.Type tp;
DAE.ConnectorType ct;
DAE.ElementSource source;
Option<DAE.VariableAttributes> dae_var_attr;
Option<SCode.Comment> comment;
DAE.Type t;
case (DAE.VAR(componentRef = name,
kind = kind,
direction = dir,
parallelism = prl,
ty = t,
binding = bind,
dims = dims,
connectorType = ct,
source = source,
variableAttributesOption = dae_var_attr,
absynCommentOption = comment),_)
equation
kind_1 = lowerExtObjVarkind(t);
tp = lowerType(t);
(bind,source,_) = Inline.inlineExpOpt(bind,(SOME(functionTree),{DAE.NORM_INLINE()}),source);
(dae_var_attr,source,_) = Inline.inlineStartAttribute(dae_var_attr,source,(SOME(functionTree),{DAE.NORM_INLINE()}));
then
BackendDAE.VAR(name,kind_1,dir,prl,tp,bind,NONE(),dims,source,dae_var_attr,comment,ct);
end match;
end lowerExtObjVar;
protected function lowerExtObjVarkind
" Helper function to lowerExtObjVar.
NOTE: Fails for everything but External objects"
input DAE.Type inType;
output BackendDAE.VarKind outVarKind;
algorithm
outVarKind :=
match (inType)
local Absyn.Path path;
case DAE.T_COMPLEX(complexClassType = ClassInf.EXTERNAL_OBJ(path=path)) then BackendDAE.EXTOBJ(path);
end match;
end lowerExtObjVarkind;
/*
* lower all equation types
*/
protected function lowerEqn
"function: lowerEqn
Helper function to lower2.
Transforms a DAE.Element to Equation."
input DAE.Element inElement;
input DAE.FunctionTree functionTree;
input list<BackendDAE.Equation> inEqns;
output list<BackendDAE.Equation> outEqns;
algorithm
outEqns := match (inElement,functionTree,inEqns)
local
DAE.Exp e1,e2,cond,msg,level;
DAE.ComponentRef cr1,cr2;
DAE.ElementSource source;
Boolean b1;
Integer size;
DAE.Dimensions dims;
list<DAE.Exp> explst,explst1;
list<list<DAE.Element>> eqnslstlst;
list<DAE.Element> eqnslst;
list<Boolean> blst;
String s;
DAE.Algorithm alg;
// tuple-tuple assignments are split into one equation for each tuple
// element, i.e. (i1, i2) = (4, 6) => i1 = 4; i2 = 6;
case (DAE.EQUATION(DAE.TUPLE(explst), DAE.TUPLE(explst1), source = source),_,_)
then
lowerTupleAssignment(explst,explst1,source,functionTree,inEqns);
case (DAE.EQUATION(exp = e1,scalar = e2,source = source),_,_)
equation
(e1,source,_) = Inline.inlineExp(e1, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
(e2,source,_) = Inline.inlineExp(e2, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
then
BackendDAE.EQUATION(e1,e2,source)::inEqns;
case (DAE.INITIALEQUATION(exp1 = e1,exp2 = e2,source = source),_,_)
equation
(e1,source,_) = Inline.inlineExp(e1, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
(e2,source,_) = Inline.inlineExp(e2, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
then
BackendDAE.EQUATION(e1,e2,source)::inEqns;
case (DAE.EQUEQUATION(cr1 = cr1, cr2 = cr2,source = source),_,_)
equation
e1 = Expression.crefExp(cr1);
e2 = Expression.crefExp(cr2);
then
BackendDAE.EQUATION(e1,e2,source)::inEqns;
case (DAE.DEFINE(componentRef = cr1, exp = e2, source = source),_,_)
equation
(e2,source,_) = Inline.inlineExp(e2, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
e1 = Expression.crefExp(cr1);
then
BackendDAE.EQUATION(e1,e2,source)::inEqns;
case (DAE.INITIALDEFINE(componentRef = cr1, exp = e2, source = source),_,_)
equation
e1 = Expression.crefExp(cr1);
(e2,source,_) = Inline.inlineExp(e2, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
then
BackendDAE.EQUATION(e1,e2,source)::inEqns;
case (DAE.COMPLEX_EQUATION(lhs = e1,rhs = e2,source = source),_,_)
equation
//(e1,source,_) = Inline.inlineExp(e1, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
//(e2,source,_) = Inline.inlineExp(e2, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
(e1,source,_) = Inline.forceInlineExp(e1,(SOME(functionTree),{DAE.NORM_INLINE(),DAE.NO_INLINE()}),source);
(e2,source,_) = Inline.forceInlineExp(e2,(SOME(functionTree),{DAE.NORM_INLINE(),DAE.NO_INLINE()}),source);
then
lowerextendedRecordEqn(e1,e2,source,functionTree,inEqns);
case (DAE.INITIAL_COMPLEX_EQUATION(lhs = e1,rhs = e2,source = source),_,_)
equation
(e1,source,_) = Inline.inlineExp(e1, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
(e2,source,_) = Inline.inlineExp(e2, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
size = Expression.sizeOf(Expression.typeof(e1));
then
BackendDAE.COMPLEX_EQUATION(size,e1,e2,source)::inEqns;
case (DAE.ARRAY_EQUATION(dimension=dims,exp = e1,array = e2,source = source),_,_)
equation
(e1,source,_) = Inline.inlineExp(e1, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
(e2,source,_) = Inline.inlineExp(e2, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
then
lowerArrayEqn(dims,e1,e2,source,inEqns);
case (DAE.INITIAL_ARRAY_EQUATION(dimension=dims,exp = e1,array = e2,source = source),_,_)
equation
(e1,source,_) = Inline.inlineExp(e1, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
(e2,source,_) = Inline.inlineExp(e2, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
then
lowerArrayEqn(dims,e1,e2,source,inEqns);
case (DAE.IF_EQUATION(condition1=explst,equations2=eqnslstlst,equations3=eqnslst,source = source),_,_)
equation
(explst,source,_) = Inline.inlineExps(explst, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
(explst1,blst) = ExpressionSimplify.simplifyList1(explst,{},{});
source = DAEUtil.addSymbolicTransformationSimplifyLst(blst,source,explst,explst1);
then
lowerIfEquation(explst1,eqnslstlst,eqnslst,{},{},source,functionTree,inEqns);
case (DAE.INITIAL_IF_EQUATION(condition1=explst,equations2=eqnslstlst,equations3=eqnslst,source = source),_,_)
equation
(explst,source,_) = Inline.inlineExps(explst, (SOME(functionTree),{DAE.NORM_INLINE()}), source);
(explst1,blst) = ExpressionSimplify.simplifyList1(explst,{},{});
source = DAEUtil.addSymbolicTransformationSimplifyLst(blst,source,explst,explst1);
then
lowerIfEquation(explst1,eqnslstlst,eqnslst,{},{},source,functionTree,inEqns);
case (DAE.ASSERT(condition=cond,message=msg,level=level,source=source),_,_)
equation
(cond,source,_) = Inline.inlineExp(cond,(SOME(functionTree),{DAE.NORM_INLINE()}),source);
(msg,source,_) = Inline.inlineExp(msg,(SOME(functionTree),{DAE.NORM_INLINE()}),source);
(level,source,_) = Inline.inlineExp(level,(SOME(functionTree),{DAE.NORM_INLINE()}),source);
BackendDAEUtil.checkAssertCondition(cond,msg,level);
alg = DAE.ALGORITHM_STMTS({DAE.STMT_ASSERT(cond,msg,level,source)});
then
BackendDAE.ALGORITHM(0,alg,source)::inEqns;
case (DAE.TERMINATE(message=msg,source=source),_,_)