/
BackendDAEOptimize.mo
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BackendDAEOptimize.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 BackendDAEOptimize
" file: BackendDAEOptimize.mo
package: BackendDAEOptimize
description: BackendDAEOptimize contains functions that do some kind of
optimazation on the BackendDAE datatype:
- removing simpleEquations
- Tearing/Relaxation
- Linearization
- Inline Integration
- and so on ...
RCS: $Id$"
public import Absyn;
public import BackendDAE;
public import DAE;
public import Env;
public import HashTable2;
protected import Algorithm;
protected import BackendDAECreate;
protected import BackendDAETransform;
protected import BackendDAEUtil;
protected import BackendDump;
protected import BackendEquation;
protected import BackendVarTransform;
protected import BackendVariable;
protected import BaseHashTable;
protected import Ceval;
protected import CheckModel;
protected import ClassInf;
protected import Config;
protected import ComponentReference;
protected import DAEUtil;
protected import Debug;
protected import Differentiate;
protected import Expression;
protected import ExpressionDump;
protected import ExpressionSolve;
protected import ExpressionSimplify;
protected import Error;
protected import Flags;
protected import GlobalScript;
protected import Graph;
protected import HashTableExpToIndex;
protected import HpcOmEqSystems;
protected import HpcOmTaskGraph;
protected import List;
protected import RewriteRules;
protected import SCode;
protected import System;
protected import Types;
protected import Util;
protected import Values;
protected import ValuesUtil;
// =============================================================================
// inline arrayeqns stuff
//
// public functions:
// - inlineArrayEqn
// - getScalarArrayEqns
// =============================================================================
public function inlineArrayEqn "author: Frenkel TUD 2011-3"
input BackendDAE.BackendDAE inDAE;
output BackendDAE.BackendDAE outDAE;
algorithm
(outDAE,_) := BackendDAEUtil.mapEqSystemAndFold(inDAE,inlineArrayEqn1,false);
end inlineArrayEqn;
public function getScalarArrayEqns
input list<BackendDAE.Equation> iEqsLst;
input list<BackendDAE.Equation> iAcc;
input Boolean iFound;
output list<BackendDAE.Equation> oEqsLst;
output Boolean oFound;
algorithm
(oEqsLst,oFound) := match(iEqsLst,iAcc,iFound)
local
BackendDAE.Equation eqn;
list<BackendDAE.Equation> eqns,eqns1;
Boolean b;
case ({},_,_) then (listReverse(iAcc),iFound);
case (eqn::eqns,_,_)
equation
(eqns1,b) = getScalarArrayEqns1(eqn,iAcc);
(eqns1,b) = getScalarArrayEqns(eqns,eqns1,b or iFound);
then
(eqns1,b);
end match;
end getScalarArrayEqns;
protected function inlineArrayEqn1 "author: Frenkel TUD 2011-5"
input BackendDAE.EqSystem isyst;
input tuple<BackendDAE.Shared,Boolean> sharedOptimized;
output BackendDAE.EqSystem osyst;
output tuple<BackendDAE.Shared,Boolean> osharedOptimized;
algorithm
(osyst,osharedOptimized) := matchcontinue (isyst,sharedOptimized)
local
BackendDAE.Shared shared;
BackendDAE.EqSystem syst;
BackendDAE.Variables vars;
BackendDAE.EquationArray eqns;
list<BackendDAE.Equation> eqnslst;
BackendDAE.Matching matching;
Option<BackendDAE.IncidenceMatrix> m;
Option<BackendDAE.IncidenceMatrixT> mT;
BackendDAE.StateSets stateSets;
case (syst as BackendDAE.EQSYSTEM(orderedVars=vars,orderedEqs=eqns,m=m,mT=mT,matching=matching,stateSets=stateSets),(shared,_))
equation
eqnslst = BackendEquation.equationList(eqns);
(eqnslst,true) = getScalarArrayEqns(eqnslst,{},false);
eqns = BackendEquation.listEquation(eqnslst);
then
(BackendDAE.EQSYSTEM(vars,eqns,NONE(),NONE(),BackendDAE.NO_MATCHING(),stateSets),(shared,true));
else
then
(isyst,sharedOptimized);
end matchcontinue;
end inlineArrayEqn1;
protected function getScalarArrayEqns1 "author: Frenkel TUD 2012-06"
input BackendDAE.Equation iEqn;
input list<BackendDAE.Equation> iAcc;
output list<BackendDAE.Equation> outEqsLst;
output Boolean oFound;
algorithm
(outEqsLst,oFound) := matchcontinue (iEqn,iAcc)
local
DAE.ElementSource source;
DAE.Exp e1,e2,e1_1,e2_1;
list<DAE.Exp> ea1,ea2;
list<BackendDAE.Equation> eqns;
Boolean diffed;
case (BackendDAE.ARRAY_EQUATION(left=e1,right=e2,source=source,differentiated=diffed),_)
equation
true = Expression.isArray(e1) or Expression.isMatrix(e1);
true = Expression.isArray(e2) or Expression.isMatrix(e2);
ea1 = Expression.flattenArrayExpToList(e1);
ea2 = Expression.flattenArrayExpToList(e2);
((_,eqns)) = List.threadFold3(ea1,ea2,generateScalarArrayEqns2,source,diffed,DAE.EQUALITY_EXPS(e1,e2),(1,iAcc));
then
(eqns,true);
case (BackendDAE.ARRAY_EQUATION(left=e1 as DAE.CREF(componentRef =_),right=e2,source=source,differentiated=diffed),_)
equation
true = Expression.isArray(e2) or Expression.isMatrix(e2);
((e1_1,(_,_))) = BackendDAEUtil.extendArrExp((e1,(NONE(),false)));
ea1 = Expression.flattenArrayExpToList(e1_1);
ea2 = Expression.flattenArrayExpToList(e2);
((_,eqns)) = List.threadFold3(ea1,ea2,generateScalarArrayEqns2,source,diffed,DAE.EQUALITY_EXPS(e1,e2),(1,iAcc));
then
(eqns,true);
case (BackendDAE.ARRAY_EQUATION(left=e1,right=e2 as DAE.CREF(componentRef =_),source=source,differentiated=diffed),_)
equation
true = Expression.isArray(e1) or Expression.isMatrix(e1);
((e2_1,(_,_))) = BackendDAEUtil.extendArrExp((e2,(NONE(),false)));
ea1 = Expression.flattenArrayExpToList(e1);
ea2 = Expression.flattenArrayExpToList(e2_1);
((_,eqns)) = List.threadFold3(ea1,ea2,generateScalarArrayEqns2,source,diffed,DAE.EQUALITY_EXPS(e1,e2),(1,iAcc));
then
(eqns,true);
case (BackendDAE.ARRAY_EQUATION(left=e1 as DAE.CREF(componentRef =_),right=e2 as DAE.CREF(componentRef =_),source=source,differentiated=diffed),_)
equation
((e1_1,(_,_))) = BackendDAEUtil.extendArrExp((e1,(NONE(),false)));
((e2_1,(_,_))) = BackendDAEUtil.extendArrExp((e2,(NONE(),false)));
ea1 = Expression.flattenArrayExpToList(e1_1);
ea2 = Expression.flattenArrayExpToList(e2_1);
((_,eqns)) = List.threadFold3(ea1,ea2,generateScalarArrayEqns2,source,diffed,DAE.EQUALITY_EXPS(e1,e2),(1,iAcc));
then
(eqns,true);
case (BackendDAE.COMPLEX_EQUATION(left=e1,right=e2,source=source,differentiated=diffed),_)
equation
ea1 = Expression.splitRecord(e1,Expression.typeof(e1));
ea2 = Expression.splitRecord(e2,Expression.typeof(e2));
((_,eqns)) = List.threadFold3(ea1,ea2,generateScalarArrayEqns2,source,diffed,DAE.EQUALITY_EXPS(e1,e2),(1,iAcc));
then
(eqns,true);
case (_,_) then (iEqn::iAcc,false);
end matchcontinue;
end getScalarArrayEqns1;
protected function generateScalarArrayEqns2 "author: Frenkel TUD 2012-06"
input DAE.Exp inExp1;
input DAE.Exp inExp2;
input DAE.ElementSource inSource;
input Boolean diffed;
input DAE.EquationExp eqExp "Original expressions; for the symbolic trace";
input tuple<Integer /* Current index; for the symbolic trace */,list<BackendDAE.Equation>> iEqns;
output tuple<Integer,list<BackendDAE.Equation>> oEqns;
algorithm
oEqns := matchcontinue(inExp1,inExp2,inSource,diffed,eqExp,iEqns)
local
DAE.Type tp;
Integer size,i;
DAE.Dimensions dims;
list<Integer> ds;
Boolean b1,b2;
list<BackendDAE.Equation> eqns;
DAE.ElementSource source;
// complex types to complex equations
case (_,_,_,_,_,(i,eqns))
equation
tp = Expression.typeof(inExp1);
true = DAEUtil.expTypeComplex(tp);
size = Expression.sizeOf(tp);
source = DAEUtil.addSymbolicTransformation(inSource,DAE.OP_SCALARIZE(eqExp,i,DAE.EQUALITY_EXPS(inExp1,inExp2)));
then
((i+1,BackendDAE.COMPLEX_EQUATION(size,inExp1,inExp2,source,diffed)::eqns));
// array types to array equations
case (_,_,_,_,_,(i,eqns))
equation
tp = Expression.typeof(inExp1);
true = DAEUtil.expTypeArray(tp);
dims = Expression.arrayDimension(tp);
ds = Expression.dimensionsSizes(dims);
source = DAEUtil.addSymbolicTransformation(inSource,DAE.OP_SCALARIZE(eqExp,i,DAE.EQUALITY_EXPS(inExp1,inExp2)));
then
((i+1,BackendDAE.ARRAY_EQUATION(ds,inExp1,inExp2,source,diffed)::eqns));
// other types
case (_,_,_,_,_,(i,eqns))
equation
tp = Expression.typeof(inExp1);
b1 = DAEUtil.expTypeComplex(tp);
b2 = DAEUtil.expTypeArray(tp);
false = b1 or b2;
//Error.assertionOrAddSourceMessage(not b1,Error.INTERNAL_ERROR,{str}, Absyn.dummyInfo);
source = DAEUtil.addSymbolicTransformation(inSource,DAE.OP_SCALARIZE(eqExp,i,DAE.EQUALITY_EXPS(inExp1,inExp2)));
then
((i+1,BackendDAE.EQUATION(inExp1,inExp2,source,diffed)::eqns));
else
equation
// show only on failtrace!
true = Flags.isSet(Flags.FAILTRACE);
Debug.traceln("- BackendDAEOptimize.generateScalarArrayEqns2 failed on: " +& ExpressionDump.printExpStr(inExp1) +& " = " +& ExpressionDump.printExpStr(inExp2) +& "\n");
then
fail();
end matchcontinue;
end generateScalarArrayEqns2;
// =============================================================================
// simplify time independent function calls
//
// public functions:
// - simplifyTimeIndepFuncCalls
// =============================================================================
public function simplifyTimeIndepFuncCalls "author: Frenkel TUD 2012-06
pre(param) -> param
der(param) -> 0.0
change(param) -> false
edge(param) -> false"
input BackendDAE.BackendDAE inDAE;
output BackendDAE.BackendDAE outDAE;
algorithm
(outDAE,_) := BackendDAEUtil.mapEqSystemAndFold(inDAE,simplifyTimeIndepFuncCalls0,false);
outDAE := simplifyTimeIndepFuncCallsShared(outDAE);
end simplifyTimeIndepFuncCalls;
protected function simplifyTimeIndepFuncCalls0 "author: Frenkel TUD 2012-06"
input BackendDAE.EqSystem isyst;
input tuple<BackendDAE.Shared,Boolean> sharedChanged;
output BackendDAE.EqSystem osyst;
output tuple<BackendDAE.Shared,Boolean> osharedChanged;
algorithm
(osyst,osharedChanged) :=
matchcontinue(isyst,sharedChanged)
local
BackendDAE.Variables orderedVars,knvars,aliasvars;
BackendDAE.EquationArray orderedEqs;
Option<BackendDAE.IncidenceMatrix> m;
Option<BackendDAE.IncidenceMatrixT> mT;
BackendDAE.Matching matching;
BackendDAE.Shared shared;
BackendDAE.StateSets stateSets;
case (BackendDAE.EQSYSTEM(orderedVars,orderedEqs,m,mT,matching,stateSets),(shared as BackendDAE.SHARED(knownVars = knvars,aliasVars = aliasvars), _))
equation
((_,_,true)) = BackendDAEUtil.traverseBackendDAEExpsEqnsWithUpdate(orderedEqs,traversersimplifyTimeIndepFuncCalls,(knvars,aliasvars,false));
then
(BackendDAE.EQSYSTEM(orderedVars,orderedEqs,m,mT,matching,stateSets),(shared,true));
else
(isyst,sharedChanged);
end matchcontinue;
end simplifyTimeIndepFuncCalls0;
protected function traversersimplifyTimeIndepFuncCalls "author: Frenkel TUD 2012-06"
input tuple<DAE.Exp,tuple<BackendDAE.Variables,BackendDAE.Variables,Boolean>> itpl;
output tuple<DAE.Exp,tuple<BackendDAE.Variables,BackendDAE.Variables,Boolean>> outTpl;
protected
DAE.Exp e;
tuple<BackendDAE.Variables,BackendDAE.Variables,Boolean> tpl;
algorithm
(e,tpl) := itpl;
outTpl := Expression.traverseExp(e,traverserExpsimplifyTimeIndepFuncCalls,tpl);
end traversersimplifyTimeIndepFuncCalls;
protected function traverserExpsimplifyTimeIndepFuncCalls "author: Frenkel TUD 2012-06"
input tuple<DAE.Exp,tuple<BackendDAE.Variables,BackendDAE.Variables,Boolean>> tpl;
output tuple<DAE.Exp,tuple<BackendDAE.Variables,BackendDAE.Variables,Boolean>> outTpl;
algorithm
outTpl := matchcontinue(tpl)
local
BackendDAE.Variables knvars,aliasvars;
DAE.Type tp;
DAE.Exp e,zero;
DAE.ComponentRef cr;
BackendDAE.Var var;
DAE.CallAttributes attr;
Boolean negate;
case((e as DAE.CALL(path=Absyn.IDENT(name = "der"),expLst={DAE.CREF(componentRef=cr,ty=tp)}),(knvars,aliasvars,_)))
equation
(var::{},_) = BackendVariable.getVar(cr, knvars);
false = BackendVariable.isVarOnTopLevelAndInput(var);
(zero,_) = Expression.makeZeroExpression(Expression.arrayDimension(tp));
then
((zero,(knvars,aliasvars,true)));
case((DAE.CALL(path=Absyn.IDENT(name = "pre"),expLst={e as DAE.CREF(componentRef=cr)}),(knvars,aliasvars,_)))
equation
(_::{},_) = BackendVariable.getVar(cr, knvars);
then
((e,(knvars,aliasvars,true)));
case((DAE.CALL(path=Absyn.IDENT(name = "pre"),expLst={e as DAE.CREF(componentRef=DAE.CREF_IDENT(ident="time"))}),(knvars,aliasvars,_)))
then
((e,(knvars,aliasvars,true)));
case((DAE.CALL(path=Absyn.IDENT(name = "pre"),expLst={e as DAE.UNARY(DAE.UMINUS(_),DAE.CREF(componentRef=DAE.CREF_IDENT(ident="time")))}),(knvars,aliasvars,_)))
then
((e,(knvars,aliasvars,true)));
case((DAE.CALL(path=Absyn.IDENT(name = "pre"),expLst={DAE.CREF(componentRef=cr,ty=tp)},attr=attr),(knvars,aliasvars,_)))
equation
(var::{},_) = BackendVariable.getVar(cr, aliasvars);
(cr,negate) = BackendVariable.getAlias(var);
e = DAE.CREF(cr,tp);
e = Debug.bcallret1(negate,Expression.negate,e,e);
(e,_) = ExpressionSimplify.simplify(DAE.CALL(Absyn.IDENT("pre"),{e},attr));
((e,_)) = Expression.traverseExp(e,traverserExpsimplifyTimeIndepFuncCalls,(knvars,aliasvars,false));
then
((e,(knvars,aliasvars,true)));
case((DAE.CALL(path=Absyn.IDENT(name = "change"),expLst={e as DAE.CREF(componentRef=cr,ty=tp)}),(knvars,aliasvars,_)))
equation
(_::_,_) = BackendVariable.getVar(cr, knvars);
zero = Expression.arrayFill(Expression.arrayDimension(tp),DAE.BCONST(false));
then
((zero,(knvars,aliasvars,true)));
case((e as DAE.CALL(path=Absyn.IDENT(name = "change"),expLst={DAE.CREF(componentRef=cr,ty=tp)}),(knvars,aliasvars,_)))
equation
(_::_,_) = BackendVariable.getVar(cr, aliasvars);
zero = Expression.arrayFill(Expression.arrayDimension(tp),DAE.BCONST(false));
then
((zero,(knvars,aliasvars,true)));
case((DAE.CALL(path=Absyn.IDENT(name = "change"),expLst={e as DAE.CREF(componentRef=DAE.CREF_IDENT(ident="time"))}),(knvars,aliasvars,_)))
then
((DAE.BCONST(false),(knvars,aliasvars,true)));
case((DAE.CALL(path=Absyn.IDENT(name = "change"),expLst={DAE.CREF(componentRef=cr,ty=tp)},attr=attr),(knvars,aliasvars,_)))
equation
(var::{},_) = BackendVariable.getVar(cr, aliasvars);
(cr,negate) = BackendVariable.getAlias(var);
e = DAE.CREF(cr,tp);
e = Debug.bcallret1(negate,Expression.negate,e,e);
(e,_) = ExpressionSimplify.simplify(DAE.CALL(Absyn.IDENT("change"),{e},attr));
((e,_)) = Expression.traverseExp(e,traverserExpsimplifyTimeIndepFuncCalls,(knvars,aliasvars,false));
then
((e,(knvars,aliasvars,true)));
case((DAE.CALL(path=Absyn.IDENT(name = "edge"),expLst={e as DAE.CREF(componentRef=cr,ty=tp)}),(knvars,aliasvars,_)))
equation
(_::{},_) = BackendVariable.getVar(cr, knvars);
zero = Expression.arrayFill(Expression.arrayDimension(tp),DAE.BCONST(false));
then
((zero,(knvars,aliasvars,true)));
case((DAE.CALL(path=Absyn.IDENT(name = "edge"),expLst={e as DAE.CREF(componentRef=DAE.CREF_IDENT(ident="time"))}),(knvars,aliasvars,_)))
then
((DAE.BCONST(false),(knvars,aliasvars,true)));
case((DAE.CALL(path=Absyn.IDENT(name = "edge"),expLst={DAE.CREF(componentRef=cr,ty=tp)},attr=attr),(knvars,aliasvars,_)))
equation
(var::{},_) = BackendVariable.getVar(cr, aliasvars);
(cr,negate) = BackendVariable.getAlias(var);
e = DAE.CREF(cr,tp);
e = Debug.bcallret1(negate,Expression.negate,e,e);
(e,_) = ExpressionSimplify.simplify(DAE.CALL(Absyn.IDENT("edge"),{e},attr));
((e,_)) = Expression.traverseExp(e,traverserExpsimplifyTimeIndepFuncCalls,(knvars,aliasvars,false));
then
((e,(knvars,aliasvars,true)));
case _ then tpl;
end matchcontinue;
end traverserExpsimplifyTimeIndepFuncCalls;
protected function simplifyTimeIndepFuncCallsShared "pre(param) -> param
der(param) -> 0.0
change(param) -> false
edge(param) -> false
author: Frenkel TUD 2012-06"
input BackendDAE.BackendDAE inDAE;
output BackendDAE.BackendDAE outDAE;
algorithm
outDAE:= match (inDAE)
local
BackendDAE.Variables knvars,exobj,aliasVars;
BackendDAE.EquationArray remeqns,inieqns;
list<DAE.Constraint> constrs;
list<DAE.ClassAttributes> clsAttrs;
Env.Cache cache;
Env.Env env;
DAE.FunctionTree funcTree;
BackendDAE.ExternalObjectClasses eoc;
BackendDAE.SymbolicJacobians symjacs;
BackendDAE.EventInfo eventInfo;
BackendDAE.BackendDAEType btp;
BackendDAE.EqSystems systs;
BackendDAE.ExtraInfo ei;
case (BackendDAE.DAE(systs,BackendDAE.SHARED(knvars,exobj,aliasVars,inieqns,remeqns,constrs,clsAttrs,cache,env,funcTree,eventInfo,eoc,btp,symjacs,ei)))
equation
_ = BackendDAEUtil.traverseBackendDAEExpsVarsWithUpdate(knvars,traversersimplifyTimeIndepFuncCalls,(knvars,aliasVars,false));
_ = BackendDAEUtil.traverseBackendDAEExpsEqnsWithUpdate(inieqns,traversersimplifyTimeIndepFuncCalls,(knvars,aliasVars,false));
_ = BackendDAEUtil.traverseBackendDAEExpsEqnsWithUpdate(remeqns,traversersimplifyTimeIndepFuncCalls,(knvars,aliasVars,false));
(eventInfo,_) = traverseEventInfoExps(eventInfo,traversersimplifyTimeIndepFuncCalls,(knvars,aliasVars,false));
then
BackendDAE.DAE(systs,BackendDAE.SHARED(knvars,exobj,aliasVars,inieqns,remeqns,constrs,clsAttrs,cache,env,funcTree,eventInfo,eoc,btp,symjacs,ei));
end match;
end simplifyTimeIndepFuncCallsShared;
protected function traverseEventInfoExps
replaceable type Type_a subtypeof Any;
input BackendDAE.EventInfo iEventInfo;
input FuncExpType func;
input Type_a inTypeA;
output BackendDAE.EventInfo oEventInfo;
output Type_a outTypeA;
partial function FuncExpType
input tuple<DAE.Exp, Type_a> inTpl;
output tuple<DAE.Exp, Type_a> outTpl;
end FuncExpType;
protected
list<BackendDAE.TimeEvent> timeEvents;
list<BackendDAE.WhenClause> whenClauseLst;
list<BackendDAE.ZeroCrossing> zeroCrossingLst,sampleLst,relationsLst;
Integer relationsNumber,numberMathEvents;
algorithm
BackendDAE.EVENT_INFO(timeEvents,whenClauseLst,zeroCrossingLst,sampleLst,relationsLst,relationsNumber,numberMathEvents) := iEventInfo;
(whenClauseLst,outTypeA) := traverseWhenClauseExps(whenClauseLst,func,inTypeA,{});
(zeroCrossingLst,outTypeA) := traverseZeroCrossingExps(zeroCrossingLst,func,outTypeA,{});
(sampleLst,outTypeA) := traverseZeroCrossingExps(sampleLst,func,outTypeA,{});
(relationsLst,outTypeA) := traverseZeroCrossingExps(relationsLst,func,outTypeA,{});
oEventInfo := BackendDAE.EVENT_INFO(timeEvents,whenClauseLst,zeroCrossingLst,sampleLst,relationsLst,relationsNumber,numberMathEvents);
end traverseEventInfoExps;
protected function traverseWhenClauseExps
replaceable type Type_a subtypeof Any;
input list<BackendDAE.WhenClause> iWhenClauses;
input FuncExpType func;
input Type_a inTypeA;
input list<BackendDAE.WhenClause> iAcc;
output list<BackendDAE.WhenClause> oWhenClauses;
output Type_a outTypeA;
partial function FuncExpType
input tuple<DAE.Exp, Type_a> inTpl;
output tuple<DAE.Exp, Type_a> outTpl;
end FuncExpType;
algorithm
(oWhenClauses,outTypeA) := match(iWhenClauses,func,inTypeA,iAcc)
local
list<BackendDAE.WhenClause> whenClause;
DAE.Exp condition;
list<BackendDAE.WhenOperator> reinitStmtLst;
Option<Integer> elseClause;
Type_a arg;
case({},_,_,_) then (listReverse(iAcc),inTypeA);
case(BackendDAE.WHEN_CLAUSE(condition,reinitStmtLst,elseClause)::whenClause,_,_,_)
equation
((condition,arg)) = Expression.traverseExp(condition,func,inTypeA);
(whenClause,arg) = traverseWhenClauseExps(whenClause,func,arg,BackendDAE.WHEN_CLAUSE(condition,reinitStmtLst,elseClause)::iAcc);
then
(whenClause,arg);
end match;
end traverseWhenClauseExps;
protected function traverseZeroCrossingExps
replaceable type Type_a subtypeof Any;
input list<BackendDAE.ZeroCrossing> iZeroCrossing;
input FuncExpType func;
input Type_a inTypeA;
input list<BackendDAE.ZeroCrossing> iAcc;
output list<BackendDAE.ZeroCrossing> oZeroCrossing;
output Type_a outTypeA;
partial function FuncExpType
input tuple<DAE.Exp, Type_a> inTpl;
output tuple<DAE.Exp, Type_a> outTpl;
end FuncExpType;
algorithm
(oZeroCrossing,outTypeA) := match(iZeroCrossing,func,inTypeA,iAcc)
local
list<BackendDAE.ZeroCrossing> zeroCrossing;
DAE.Exp relation_;
list<Integer> occurEquLst,occurWhenLst;
Type_a arg;
case({},_,_,_) then (listReverse(iAcc),inTypeA);
case(BackendDAE.ZERO_CROSSING(relation_,occurEquLst,occurWhenLst)::zeroCrossing,_,_,_)
equation
((relation_,arg)) = Expression.traverseExp(relation_,func,inTypeA);
(zeroCrossing,arg) = traverseZeroCrossingExps(zeroCrossing,func,arg,BackendDAE.ZERO_CROSSING(relation_,occurEquLst,occurWhenLst)::iAcc);
then
(zeroCrossing,arg);
end match;
end traverseZeroCrossingExps;
// =============================================================================
// =============================================================================
protected function traverseIncidenceMatrix "author: Frenkel TUD 2010-12"
replaceable type Type_a subtypeof Any;
input BackendDAE.IncidenceMatrix inM;
input FuncType func;
input Type_a inTypeA;
output BackendDAE.IncidenceMatrix outM;
output Type_a outTypeA;
partial function FuncType
input tuple<BackendDAE.IncidenceMatrixElement,Integer,BackendDAE.IncidenceMatrix,Type_a> inTpl;
output tuple<list<Integer>,BackendDAE.IncidenceMatrix,Type_a> outTpl;
end FuncType;
algorithm
(outM,outTypeA) := traverseIncidenceMatrix1(inM,func,1,arrayLength(inM),inTypeA);
end traverseIncidenceMatrix;
protected function traverseIncidenceMatrix1 "author: Frenkel TUD 2010-12"
replaceable type Type_a subtypeof Any;
input BackendDAE.IncidenceMatrix inM;
input FuncType func;
input Integer pos "iterated 1..len";
input Integer len "length of array";
input Type_a inTypeA;
output BackendDAE.IncidenceMatrix outM;
output Type_a outTypeA;
partial function FuncType
input tuple<BackendDAE.IncidenceMatrixElement,Integer,BackendDAE.IncidenceMatrix,Type_a> inTpl;
output tuple<list<Integer>,BackendDAE.IncidenceMatrix,Type_a> outTpl;
end FuncType;
algorithm
(outM,outTypeA) := traverseIncidenceMatrix2(inM,func,pos,len,intGt(pos,len),inTypeA);
annotation(__OpenModelica_EarlyInline = true);
end traverseIncidenceMatrix1;
protected function traverseIncidenceMatrix2
" author: Frenkel TUD 2010-12"
replaceable type Type_a subtypeof Any;
input BackendDAE.IncidenceMatrix inM;
input FuncType func;
input Integer pos "iterated 1..len";
input Integer len "length of array";
input Boolean stop;
input Type_a inTypeA;
output BackendDAE.IncidenceMatrix outM;
output Type_a outTypeA;
partial function FuncType
input tuple<BackendDAE.IncidenceMatrixElement,Integer,BackendDAE.IncidenceMatrix,Type_a> inTpl;
output tuple<list<Integer>,BackendDAE.IncidenceMatrix,Type_a> outTpl;
end FuncType;
algorithm
(outM,outTypeA) := match (inM,func,pos,len,stop,inTypeA)
local
BackendDAE.IncidenceMatrix m,m1,m2;
Type_a extArg,extArg1,extArg2;
list<Integer> eqns,eqns1;
case(_,_,_,_,true,_)
then (inM,inTypeA);
case(_,_,_,_,false,_)
equation
((eqns,m,extArg)) = func((inM[pos],pos,inM,inTypeA));
eqns1 = List.removeOnTrue(pos,intLt,eqns);
(m1,extArg1) = traverseIncidenceMatrixList(eqns1,m,func,arrayLength(m),pos,extArg);
(m2,extArg2) = traverseIncidenceMatrix2(m1,func,pos+1,len,intGt(pos+1,len),extArg1);
then (m2,extArg2);
end match;
end traverseIncidenceMatrix2;
protected function traverseIncidenceMatrixList
" author: Frenkel TUD 2011-04"
replaceable type Type_a subtypeof Any;
input list<Integer> inLst "elements to traverse";
input BackendDAE.IncidenceMatrix inM;
input FuncType func;
input Integer len "length of array";
input Integer maxpos "do not go further than this position";
input Type_a inTypeA;
output BackendDAE.IncidenceMatrix outM;
output Type_a outTypeA;
partial function FuncType
input tuple<BackendDAE.IncidenceMatrixElement,Integer,BackendDAE.IncidenceMatrix,Type_a> inTpl;
output tuple<list<Integer>,BackendDAE.IncidenceMatrix,Type_a> outTpl;
end FuncType;
algorithm
(outM,outTypeA) := matchcontinue(inLst,inM,func,len,maxpos,inTypeA)
local
BackendDAE.IncidenceMatrix m,m1;
Type_a extArg,extArg1;
list<Integer> rest,eqns,eqns1,alleqns;
Integer pos;
case({},_,_,_,_,_) then (inM,inTypeA);
case(pos::rest,_,_,_,_,_) equation
// do not leave the list
true = intLt(pos,len+1);
// do not more than necesary
true = intLt(pos,maxpos);
((eqns,m,extArg)) = func((inM[pos],pos,inM,inTypeA));
eqns1 = List.removeOnTrue(maxpos,intLt,eqns);
alleqns = List.unionOnTrueList({rest, eqns1},intEq);
(m1,extArg1) = traverseIncidenceMatrixList(alleqns,m,func,len,maxpos,extArg);
then (m1,extArg1);
case(pos::rest,_,_,_,_,_) equation
// do not leave the list
true = intLt(pos,len+1);
(m,extArg) = traverseIncidenceMatrixList(rest,inM,func,len,maxpos,inTypeA);
then (m,extArg);
case (_,_,_,_,_,_)
equation
Debug.fprintln(Flags.FAILTRACE, "- BackendDAEOptimize.traverseIncidenceMatrixList failed");
then
fail();
end matchcontinue;
end traverseIncidenceMatrixList;
protected function toplevelInputOrUnfixed
input BackendDAE.Var inVar;
output Boolean b;
algorithm
b := BackendVariable.isVarOnTopLevelAndInput(inVar) or
BackendVariable.isParam(inVar) and not BackendVariable.varFixed(inVar);
end toplevelInputOrUnfixed;
protected function traversingTimeEqnsFinder "author: Frenkel 2010-12"
input tuple<DAE.Exp, tuple<Boolean,BackendDAE.Variables,BackendDAE.Variables,Boolean,Boolean> > inExp;
output tuple<DAE.Exp, Boolean, tuple<Boolean,BackendDAE.Variables,BackendDAE.Variables,Boolean,Boolean> > outExp;
algorithm
outExp := matchcontinue(inExp)
local
DAE.Exp e;
Boolean b,b1,b2;
BackendDAE.Variables vars,knvars;
DAE.ComponentRef cr;
BackendDAE.Var var;
list<BackendDAE.Var> vlst;
case((e as DAE.CREF(DAE.CREF_IDENT(ident = "time",subscriptLst = {}),_), (_,vars,knvars,b1,b2)))
then ((e,false,(true,vars,knvars,b1,b2)));
// inputs not constant and parameter(fixed=false) are constant but evaluated after konstant variables are evaluted
case((e as DAE.CREF(cr,_), (_,vars,knvars,b1,b2)))
equation
(vlst,_::_)= BackendVariable.getVar(cr, knvars) "input variables stored in known variables are input on top level" ;
false = List.mapAllValueBool(vlst,toplevelInputOrUnfixed,false);
then ((e,false,(true,vars,knvars,b1,b2)));
case((e as DAE.CALL(path = Absyn.IDENT(name = "sample"), expLst = {_,_,_}), (_,vars,knvars,b1,b2))) then ((e,false,(true,vars,knvars,b1,b2)));
case((e as DAE.CALL(path = Absyn.IDENT(name = "pre"), expLst = {_}), (_,vars,knvars,b1,b2))) then ((e,false,(true,vars,knvars,b1,b2)));
case((e as DAE.CALL(path = Absyn.IDENT(name = "change"), expLst = {_}), (_,vars,knvars,b1,b2))) then ((e,false,(true,vars,knvars,b1,b2)));
case((e as DAE.CALL(path = Absyn.IDENT(name = "edge"), expLst = {_}), (_,vars,knvars,b1,b2))) then ((e,false,(true,vars,knvars,b1,b2)));
// case for finding simple equation in jacobians
// there are all known variables mark as input
// and they are all time-depending
case((e as DAE.CREF(cr,_), (_,vars,knvars,true,b2)))
equation
(var::_,_::_)= BackendVariable.getVar(cr, knvars);
DAE.INPUT() = BackendVariable.getVarDirection(var);
then ((e,false,(true,vars,knvars,true,b2)));
// unkown var
case((e as DAE.CREF(cr,_), (_,vars,knvars,b1,true)))
equation
(var::_,_::_)= BackendVariable.getVar(cr, vars);
then ((e,false,(true,vars,knvars,b1,true)));
case((e,(b,vars,knvars,b1,b2))) then ((e,not b,(b,vars,knvars,b1,b2)));
end matchcontinue;
end traversingTimeEqnsFinder;
public function countSimpleEquations
"author: Frenkel TUD 2011-05
This function count the simple equations on the form a=b and a=const and a=f(not time)
in BackendDAE.BackendDAE. Note this functions does not use variable replacements, because
of this the number of simple equations is maybe smaller than using variable replacements."
input BackendDAE.BackendDAE inDlow;
input BackendDAE.IncidenceMatrix inM;
output Integer outSimpleEqns;
algorithm
outSimpleEqns:=
match (inDlow,inM)
local
BackendDAE.BackendDAE dlow;
BackendDAE.EquationArray eqns;
Integer n;
case (dlow,_)
equation
// check equations
(_,(_,n)) = traverseIncidenceMatrix(inM,countSimpleEquationsFinder,(dlow,0));
then n;
end match;
end countSimpleEquations;
protected function countSimpleEquationsFinder
"author: Frenkel TUD 2011-05"
input tuple<BackendDAE.IncidenceMatrixElement,Integer,BackendDAE.IncidenceMatrix, tuple<BackendDAE.BackendDAE,Integer>> inTpl;
output tuple<list<Integer>,BackendDAE.IncidenceMatrix, tuple<BackendDAE.BackendDAE,Integer>> outTpl;
algorithm
outTpl:=
matchcontinue (inTpl)
local
BackendDAE.IncidenceMatrixElement elem;
Integer pos,l,i,n,n_1;
BackendDAE.IncidenceMatrix m;
BackendDAE.BackendDAE dae;
BackendDAE.EqSystem syst;
BackendDAE.Shared shared;
case ((elem,pos,m,(dae as BackendDAE.DAE({syst},shared),n)))
equation
// check number of vars in eqns
l = listLength(elem);
true = intLt(l,3);
true = intGt(l,0);
countsimpleEquation(elem,l,pos,syst,shared);
n_1 = n+1;
then (({},m,(dae,n_1)));
case ((elem,pos,m,(dae,n)))
then (({},m,(dae,n)));
end matchcontinue;
end countSimpleEquationsFinder;
protected function countsimpleEquation
" author: Frenkel TUD 2011-05"
input BackendDAE.IncidenceMatrixElement elem;
input Integer length;
input Integer pos;
input BackendDAE.EqSystem syst;
input BackendDAE.Shared shared;
algorithm
_ := matchcontinue(elem,length,pos,syst,shared)
local
DAE.ComponentRef cr;
Integer i,j,pos_1;
DAE.Exp es,cre,e1,e2;
BackendDAE.Variables vars,knvars;
BackendDAE.Var var;
BackendDAE.EquationArray eqns;
BackendDAE.Equation eqn;
Boolean negate;
DAE.ElementSource source;
// a = const
// wbraun:
// speacial case for Jacobains, since there are all known variablen
// time depending input variables
case ({i},_,_,_,BackendDAE.SHARED(backendDAEType = BackendDAE.JACOBIAN()))
equation
vars = BackendVariable.daeVars(syst);
var = BackendVariable.getVarAt(vars,intAbs(i));
// no State
false = BackendVariable.isStateorStateDerVar(var);
// try to solve the equation
pos_1 = pos-1;
eqns = BackendEquation.daeEqns(syst);
eqn = BackendEquation.equationNth0(eqns,pos_1);
BackendDAE.EQUATION(exp=e1,scalar=e2,source=source) = eqn;
// variable time not there
knvars = BackendVariable.daeKnVars(shared);
((_,(false,_,_,_,_))) = Expression.traverseExpTopDown(e1, traversingTimeEqnsFinder, (false,vars,knvars,true,false));
((_,(false,_,_,_,_))) = Expression.traverseExpTopDown(e2, traversingTimeEqnsFinder, (false,vars,knvars,true,false));
cr = BackendVariable.varCref(var);
cre = Expression.crefExp(cr);
(_,{}) = ExpressionSolve.solve(e1,e2,cre);
then ();
// a = const
case ({i},_,_,_,_)
equation
vars = BackendVariable.daeVars(syst);
var = BackendVariable.getVarAt(vars,intAbs(i));
// no State
false = BackendVariable.isStateorStateDerVar(var);
// try to solve the equation
pos_1 = pos-1;
eqns = BackendEquation.daeEqns(syst);
eqn = BackendEquation.equationNth0(eqns,pos_1);
BackendDAE.EQUATION(exp=e1,scalar=e2,source=source) = eqn;
// variable time not there
knvars = BackendVariable.daeKnVars(shared);
((_,(false,_,_,_,_))) = Expression.traverseExpTopDown(e1, traversingTimeEqnsFinder, (false,vars,knvars,false,false));
((_,(false,_,_,_,_))) = Expression.traverseExpTopDown(e2, traversingTimeEqnsFinder, (false,vars,knvars,false,false));
cr = BackendVariable.varCref(var);
cre = Expression.crefExp(cr);
(_,{}) = ExpressionSolve.solve(e1,e2,cre);
then ();
// a = der(b)
case ({i,j},_,_,_,_)
equation
pos_1 = pos-1;
eqns = BackendEquation.daeEqns(syst);
eqn = BackendEquation.equationNth0(eqns,pos_1);
(cr,_,_,_,_) = BackendEquation.derivativeEquation(eqn);
// select candidate
vars = BackendVariable.daeVars(syst);
((_::_),(_::_)) = BackendVariable.getVar(cr,vars);
then ();
// a = b
case ({i,j},_,_,_,_)
equation
pos_1 = pos-1;
eqns = BackendEquation.daeEqns(syst);
(eqn as BackendDAE.EQUATION(source=source)) = BackendEquation.equationNth0(eqns,pos_1);
_ = BackendEquation.aliasEquation(eqn);
then ();
end matchcontinue;
end countsimpleEquation;
// =============================================================================
// remove parameters stuff
//
// =============================================================================
public function removeParameters
"author wbraun"
input BackendDAE.BackendDAE inDAE;
output BackendDAE.BackendDAE outDAE;
algorithm
outDAE := match (inDAE)
local
BackendDAE.Variables knvars,exobj,knvars1,av;
BackendDAE.EquationArray remeqns,inieqns;
list<DAE.Constraint> constrs;
list<DAE.ClassAttributes> clsAttrs;
Env.Cache cache;
Env.Env env;
DAE.FunctionTree funcs;
BackendDAE.EventInfo einfo;
BackendDAE.ExternalObjectClasses eoc;
BackendDAE.SymbolicJacobians symjacs;
BackendVarTransform.VariableReplacements repl,repl1,repl2;
BackendDAE.BackendDAEType btp;
BackendDAE.EqSystems systs;
BackendDAE.ExtraInfo ei;
case (BackendDAE.DAE(systs,BackendDAE.SHARED(knvars,exobj,av,inieqns,remeqns,constrs,clsAttrs,cache,env,funcs,einfo,eoc,btp,symjacs,ei)))
equation
repl = BackendVarTransform.emptyReplacements();
((repl1,_)) = BackendVariable.traverseBackendDAEVars(knvars,removeParametersFinder,(repl,knvars));
(knvars1,repl2) = replaceFinalVars(1,knvars,repl1);
(knvars1,repl2) = replaceFinalVars(1,knvars1,repl2);
Debug.fcall(Flags.DUMP_PARAM_REPL, BackendVarTransform.dumpReplacements, repl2);
systs= List.map1(systs,removeParameterswork,repl2);
then
BackendDAE.DAE(systs,BackendDAE.SHARED(knvars1,exobj,av,inieqns,remeqns,constrs,clsAttrs,cache,env,funcs,einfo,eoc,btp,symjacs,ei));
end match;
end removeParameters;
protected function removeParameterswork
"author wbraun"
input BackendDAE.EqSystem isyst;
input BackendVarTransform.VariableReplacements repl;
output BackendDAE.EqSystem osyst;
algorithm
osyst := match (isyst,repl)
local
Option<BackendDAE.IncidenceMatrix> m,mT;
BackendDAE.Variables vars;
BackendDAE.EquationArray eqns,eqns1;
list<BackendDAE.Equation> eqns_1,lsteqns;
BackendDAE.Matching matching;
BackendDAE.StateSets stateSets;
case (BackendDAE.EQSYSTEM(vars,eqns,m,mT,matching,stateSets),_)
equation
lsteqns = BackendEquation.equationList(eqns);
(vars,_) = replaceFinalVars(1,vars,repl); // replacing variable attributes (e.g start) in unknown vars
(eqns_1,_) = BackendVarTransform.replaceEquations(lsteqns, repl,NONE());
eqns1 = BackendEquation.listEquation(eqns_1);
then
BackendDAE.EQSYSTEM(vars,eqns1,NONE(),NONE(),matching,stateSets);
end match;
end removeParameterswork;
protected function removeParametersFinder
"author: Frenkel TUD 2011-03"
input tuple<BackendDAE.Var, tuple<BackendVarTransform.VariableReplacements,BackendDAE.Variables>> inTpl;
output tuple<BackendDAE.Var, tuple<BackendVarTransform.VariableReplacements,BackendDAE.Variables>> outTpl;
algorithm
outTpl:=
matchcontinue (inTpl)
local
BackendDAE.Variables vars;
BackendDAE.Var v;
BackendVarTransform.VariableReplacements repl,repl_1;
DAE.ComponentRef varName;
Option< .DAE.VariableAttributes> values;
DAE.Exp exp,exp1;
Values.Value bindValue;
case ((v as BackendDAE.VAR(varName=varName,varKind=BackendDAE.PARAM(),bindExp=SOME(exp),values=values),(repl,vars)))
equation
((exp1, _)) = Expression.traverseExp(exp, BackendDAEUtil.replaceCrefsWithValues, (vars, varName));
repl_1 = BackendVarTransform.addReplacement(repl, varName, exp1,NONE());
then ((v,(repl_1,vars)));
case ((v as BackendDAE.VAR(varName=varName,varKind=BackendDAE.PARAM(),bindValue=SOME(bindValue),values=values),(repl,vars)))
equation
exp = ValuesUtil.valueExp(bindValue);
repl_1 = BackendVarTransform.addReplacement(repl, varName, exp,NONE());
then ((v,(repl_1,vars)));
case _ then inTpl;
end matchcontinue;
end removeParametersFinder;
protected function replaceFinalVars
" author: Frenkel TUD 2011-04"
input Integer inNumRepl;
input BackendDAE.Variables inVars;
input BackendVarTransform.VariableReplacements inRepl;
output BackendDAE.Variables outVars;
output BackendVarTransform.VariableReplacements outRepl;
algorithm
(outVars,outRepl) := matchcontinue(inNumRepl,inVars,inRepl)
local
Integer numrepl;
BackendDAE.Variables knvars,knvars1,knvars2;
BackendVarTransform.VariableReplacements repl,repl1,repl2;
case(numrepl,knvars,repl)
equation
true = intEq(0,numrepl);
then (knvars,repl);
case(numrepl,knvars,repl)
equation
(knvars1,(repl1,numrepl)) = BackendVariable.traverseBackendDAEVarsWithUpdate(knvars,replaceFinalVarTraverser,(repl,0));
(knvars2,repl2) = replaceFinalVars(numrepl,knvars1,repl1);
then (knvars2,repl2);
end matchcontinue;
end replaceFinalVars;
protected function replaceFinalVarTraverser
"author: Frenkel TUD 2011-04"
input tuple<BackendDAE.Var, tuple<BackendVarTransform.VariableReplacements,Integer>> inTpl;
output tuple<BackendDAE.Var, tuple<BackendVarTransform.VariableReplacements,Integer>> outTpl;
algorithm
outTpl:=
matchcontinue (inTpl)
local
BackendDAE.Var v,v1;
BackendVarTransform.VariableReplacements repl,repl_1;
Integer numrepl;
DAE.Exp e,e1;
DAE.ComponentRef cr;
Option<DAE.VariableAttributes> attr,new_attr;
case ((v as BackendDAE.VAR(varName=cr,bindExp=SOME(e),values=attr),(repl,numrepl)))
equation
(e1,true) = BackendVarTransform.replaceExp(e, repl, NONE());
(e1,_) = ExpressionSimplify.simplify(e1);
v1 = BackendVariable.setBindExp(v, SOME(e1));
repl_1 = addConstExpReplacement(e1,cr,repl);
(attr,repl_1) = BackendDAEUtil.traverseBackendDAEVarAttr(attr,traverseExpVisitorWrapper,repl_1);
v1 = BackendVariable.setVarAttributes(v1,attr);
then ((v1,(repl_1,numrepl+1)));
case ((v as BackendDAE.VAR(values=attr),(repl,numrepl)))
equation
(new_attr,repl) = BackendDAEUtil.traverseBackendDAEVarAttr(attr,traverseExpVisitorWrapper,repl);
v1 = BackendVariable.setVarAttributes(v,new_attr);
then ((v1,(repl,numrepl)));
end matchcontinue;
end replaceFinalVarTraverser;