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BackendDAEOptimize.mo
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BackendDAEOptimize.mo
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/*
* This file is part of OpenModelica.
*
* Copyright (c) 1998-2014, Open Source Modelica Consortium (OSMC),
* c/o Linköpings universitet, Department of Computer and Information Science,
* SE-58183 Linköping, Sweden.
*
* All rights reserved.
*
* THIS PROGRAM IS PROVIDED UNDER THE TERMS OF GPL VERSION 3 LICENSE OR
* THIS OSMC PUBLIC LICENSE (OSMC-PL) VERSION 1.2.
* ANY USE, REPRODUCTION OR DISTRIBUTION OF THIS PROGRAM CONSTITUTES
* RECIPIENT'S ACCEPTANCE OF THE OSMC PUBLIC LICENSE OR THE GPL VERSION 3,
* ACCORDING TO RECIPIENTS CHOICE.
*
* The OpenModelica software and the Open Source Modelica
* Consortium (OSMC) Public License (OSMC-PL) are obtained
* from OSMC, 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
optimization 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 FCore;
public import HashTable2;
protected import Algorithm;
protected import Array;
protected import BackendDAETransform;
protected import BackendDAEUtil;
protected import BackendDump;
protected import BackendEquation;
protected import BackendVarTransform;
protected import BackendVariable;
protected import BaseHashTable;
protected import CheckModel;
protected import ClassInf;
protected import ComponentReference;
protected import DAEUtil;
protected import DAEDump;
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 HashTableExpToIndex;
protected import List;
protected import RewriteRules;
protected import SCode;
protected import SynchronousFeatures;
protected import Types;
protected import Util;
protected import Values;
protected import ValuesUtil;
// =============================================================================
// 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 BackendDAE.Shared inShared;
input Boolean inChanged;
output BackendDAE.EqSystem osyst;
output BackendDAE.Shared outShared;
output Boolean outChanged;
algorithm
(osyst, outShared, outChanged) := matchcontinue (isyst, inShared)
local
BackendDAE.Variables orderedVars, knvars, aliasvars;
BackendDAE.EquationArray orderedEqs;
BackendDAE.Shared shared;
BackendDAE.EqSystem syst;
case (BackendDAE.EQSYSTEM(orderedEqs=orderedEqs), BackendDAE.SHARED(knownVars=knvars, aliasVars=aliasvars))
algorithm
((_, (_, _, true))) := BackendDAEUtil.traverseBackendDAEExpsEqnsWithUpdate (
orderedEqs, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls,
(knvars, aliasvars, false))
);
then (isyst, inShared, true);
else (isyst, inShared, inChanged);
end matchcontinue;
end simplifyTimeIndepFuncCalls0;
protected function traverserExpsimplifyTimeIndepFuncCalls
input DAE.Exp inExp;
input tuple<BackendDAE.Variables, BackendDAE.Variables, Boolean> inTpl;
output DAE.Exp outExp;
output tuple<BackendDAE.Variables, BackendDAE.Variables, Boolean> outTpl;
algorithm
(outExp, outTpl) := matchcontinue (inExp, inTpl)
local
BackendDAE.Variables knvars, aliasvars;
DAE.Type tp;
DAE.Exp e, zero;
DAE.ComponentRef cr;
BackendDAE.Var var;
DAE.CallAttributes attr;
Boolean negate;
case (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 = if negate then Expression.negate(e) else e;
(e, _) = ExpressionSimplify.simplify(DAE.CALL(Absyn.IDENT("pre"), {e}, attr));
(e, _) = Expression.traverseExpBottomUp(e, traverserExpsimplifyTimeIndepFuncCalls, (knvars, aliasvars, false));
then (e, (knvars, aliasvars, true));
case (DAE.CALL(path=Absyn.IDENT(name="change"), expLst={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="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={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 = if negate then Expression.negate(e) else e;
(e, _) = ExpressionSimplify.simplify(DAE.CALL(Absyn.IDENT("change"), {e}, attr));
(e, _) = Expression.traverseExpBottomUp(e, traverserExpsimplifyTimeIndepFuncCalls, (knvars, aliasvars, false));
then (e, (knvars, aliasvars, true));
case (DAE.CALL(path=Absyn.IDENT(name="edge"), expLst={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={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 = if negate then Expression.negate(e) else e;
(e, _) = ExpressionSimplify.simplify(DAE.CALL(Absyn.IDENT("edge"), {e}, attr));
(e, _) = Expression.traverseExpBottomUp(e, traverserExpsimplifyTimeIndepFuncCalls, (knvars, aliasvars, false));
then (e, (knvars, aliasvars, true));
else (inExp, inTpl);
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;
protected
BackendDAE.Shared shared;
algorithm
shared := inDAE.shared;
BackendDAEUtil.traverseBackendDAEExpsVarsWithUpdate(shared.knownVars, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls, (shared.knownVars, shared.aliasVars, false)));
BackendDAEUtil.traverseBackendDAEExpsEqnsWithUpdate(shared.initialEqs, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls, (shared.knownVars, shared.aliasVars, false)));
BackendDAEUtil.traverseBackendDAEExpsEqnsWithUpdate(shared.removedEqs, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls, (shared.knownVars, shared.aliasVars, false)));
(shared.eventInfo, _) := traverseEventInfoExps(shared.eventInfo, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls, (shared.knownVars, shared.aliasVars, false)));
outDAE := BackendDAE.DAE(inDAE.eqs, shared);
end simplifyTimeIndepFuncCallsShared;
protected function traverseEventInfoExps<T>
input BackendDAE.EventInfo iEventInfo;
input FuncExpType func;
input T inTypeA;
output BackendDAE.EventInfo oEventInfo;
output T outTypeA;
partial function FuncExpType
input DAE.Exp inExp;
input T inTypeA;
output DAE.Exp outExp;
output T outA;
end FuncExpType;
protected
list<BackendDAE.TimeEvent> timeEvents;
list<BackendDAE.WhenClause> whenClauseLst;
list<BackendDAE.ZeroCrossing> zeroCrossingLst, sampleLst, relationsLst;
Integer numberMathEvents;
algorithm
BackendDAE.EVENT_INFO(timeEvents, whenClauseLst, zeroCrossingLst, sampleLst, relationsLst, 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, numberMathEvents);
end traverseEventInfoExps;
protected function traverseWhenClauseExps<T>
input list<BackendDAE.WhenClause> iWhenClauses;
input FuncExpType func;
input T inTypeA;
input list<BackendDAE.WhenClause> iAcc;
output list<BackendDAE.WhenClause> oWhenClauses;
output T outTypeA;
partial function FuncExpType
input DAE.Exp inExp;
input T inTypeA;
output DAE.Exp outExp;
output T outA;
end FuncExpType;
algorithm
(oWhenClauses, outTypeA) := match (iWhenClauses)
local
list<BackendDAE.WhenClause> whenClause;
DAE.Exp condition;
list<BackendDAE.WhenOperator> reinitStmtLst;
Option<Integer> elseClause;
T arg;
case {}
then (listReverse(iAcc), inTypeA);
case BackendDAE.WHEN_CLAUSE(condition, reinitStmtLst, elseClause)::whenClause equation
(condition, arg) = Expression.traverseExpBottomUp(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<T>
input list<BackendDAE.ZeroCrossing> iZeroCrossing;
input FuncExpType func;
input T inTypeA;
input list<BackendDAE.ZeroCrossing> iAcc;
output list<BackendDAE.ZeroCrossing> oZeroCrossing;
output T outTypeA;
partial function FuncExpType
input DAE.Exp inExp;
input T inTypeA;
output DAE.Exp outExp;
output T outA;
end FuncExpType;
algorithm
(oZeroCrossing, outTypeA) := match (iZeroCrossing)
local
list<BackendDAE.ZeroCrossing> zeroCrossing;
DAE.Exp relation_;
list<Integer> occurEquLst,occurWhenLst;
T arg;
case {}
then (listReverse(iAcc), inTypeA);
case BackendDAE.ZERO_CROSSING(relation_, occurEquLst, occurWhenLst)::zeroCrossing equation
(relation_, arg) = Expression.traverseExpBottomUp(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
true = Flags.isSet(Flags.FAILTRACE);
Debug.trace("- BackendDAEOptimize.traverseIncidenceMatrixList failed\n");
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 DAE.Exp inExp;
input tuple<Boolean,BackendDAE.Variables,BackendDAE.Variables,Boolean,Boolean> inTpl;
output DAE.Exp outExp;
output Boolean cont;
output tuple<Boolean,BackendDAE.Variables,BackendDAE.Variables,Boolean,Boolean> outTpl;
algorithm
(outExp,cont,outTpl) := matchcontinue (inExp,inTpl)
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
(_::_,_::_)= 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 ((_,_,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;
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
eqns = BackendEquation.getEqnsFromEqSystem(syst);
eqn = BackendEquation.equationNth1(eqns,pos);
BackendDAE.EQUATION(exp=e1,scalar=e2) = 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
eqns = BackendEquation.getEqnsFromEqSystem(syst);
eqn = BackendEquation.equationNth1(eqns,pos);
BackendDAE.EQUATION(exp=e1,scalar=e2) = 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 ({_,_},_,_,_,_)
equation
eqns = BackendEquation.getEqnsFromEqSystem(syst);
eqn = BackendEquation.equationNth1(eqns,pos);
(cr,_,_,_,_) = BackendEquation.derivativeEquation(eqn);
// select candidate
vars = BackendVariable.daeVars(syst);
((_::_),(_::_)) = BackendVariable.getVar(cr,vars);
then ();
// a = b
case ({_,_},_,_,_,_)
equation
eqns = BackendEquation.getEqnsFromEqSystem(syst);
(eqn as BackendDAE.EQUATION()) = BackendEquation.equationNth1(eqns,pos);
_ = 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;
BackendVarTransform.VariableReplacements repl;
BackendDAE.EqSystems systs;
BackendDAE.Shared shared;
case (BackendDAE.DAE(systs, shared as BackendDAE.SHARED(knownVars=knvars)))
algorithm
repl := BackendVarTransform.emptyReplacements();
((repl, _)) := BackendVariable.traverseBackendDAEVars(knvars, removeParametersFinder, (repl, knvars));
(knvars, repl) := replaceFinalVars(1, knvars, repl);
(knvars, repl) := replaceFinalVars(1, knvars, repl);
if Flags.isSet(Flags.DUMP_PARAM_REPL) then
BackendVarTransform.dumpReplacements(repl);
end if;
systs := List.map1(systs,removeParameterswork, repl);
shared.knownVars := knvars;
then
BackendDAE.DAE(systs, shared);
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
local
Option<BackendDAE.IncidenceMatrix> m,mT;
BackendDAE.Variables vars;
BackendDAE.EquationArray eqns,eqns1;
list<BackendDAE.Equation> lsteqns;
BackendDAE.Matching matching;
BackendDAE.EqSystem syst;
BackendDAE.BaseClockPartitionKind partitionKind;
case syst as BackendDAE.EQSYSTEM(orderedVars=vars, orderedEqs=eqns)
algorithm
(vars, _) := replaceFinalVars(1, vars, repl); // replacing variable attributes (e.g start) in unknown vars
(lsteqns, _) := BackendVarTransform.replaceEquations(BackendEquation.equationList(eqns), repl, NONE());
syst.orderedVars := vars;
syst.orderedEqs := BackendEquation.listEquation(lsteqns);
syst.m := NONE(); syst.mT := NONE();
then
syst;
end match;
end removeParameterswork;
protected function removeParametersFinder
input BackendDAE.Var inVar;
input tuple<BackendVarTransform.VariableReplacements,BackendDAE.Variables> inTpl;
output BackendDAE.Var outVar;
output tuple<BackendVarTransform.VariableReplacements,BackendDAE.Variables> outTpl;
algorithm
(outVar,outTpl) := matchcontinue (inVar,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)),(repl,vars))
equation
(exp1, _) = Expression.traverseExpBottomUp(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)),(repl,vars))
equation
exp = ValuesUtil.valueExp(bindValue);
repl_1 = BackendVarTransform.addReplacement(repl, varName, exp,NONE());
then (v,(repl_1,vars));
else (inVar,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
input BackendDAE.Var inVar;
input tuple<BackendVarTransform.VariableReplacements,Integer> inTpl;
output BackendDAE.Var outVar;
output tuple<BackendVarTransform.VariableReplacements,Integer> outTpl;
algorithm
(outVar,outTpl) := matchcontinue (inVar,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;
protected function addConstExpReplacement
input DAE.Exp inExp;
input DAE.ComponentRef cr;
input BackendVarTransform.VariableReplacements inRepl;
output BackendVarTransform.VariableReplacements outRepl;
algorithm
outRepl := matchcontinue(inExp,cr,inRepl)
case (_,_,_)
equation
true = Expression.isConst(inExp);
then
BackendVarTransform.addReplacement(inRepl, cr, inExp,NONE());
else
inRepl;
end matchcontinue;
end addConstExpReplacement;
protected function traverseExpVisitorWrapper "help function to replaceFinalVarTraverser"
input DAE.Exp inExp;
input BackendVarTransform.VariableReplacements inRepl;
output DAE.Exp exp;
output BackendVarTransform.VariableReplacements repl;
algorithm
(exp,repl) := matchcontinue(inExp,inRepl)
local
DAE.ComponentRef cr;
case (exp as DAE.CREF(_,_),repl) equation
(exp,_) = BackendVarTransform.replaceExp(exp,repl,NONE());
then (exp,repl);
else (inExp,inRepl);
end matchcontinue;
end traverseExpVisitorWrapper;
// =============================================================================
// remove protected parameters stuff
//
// =============================================================================
public function removeProtectedParameters
"author Frenkel TUD"
input BackendDAE.BackendDAE inDAE;
output BackendDAE.BackendDAE outDAE;
algorithm
outDAE := match inDAE
local
BackendDAE.Variables knvars;
BackendVarTransform.VariableReplacements repl;
BackendDAE.EqSystems systs;
BackendDAE.Shared shared;
case BackendDAE.DAE(systs, shared as BackendDAE.SHARED(knownVars=knvars))
algorithm
repl := BackendVarTransform.emptyReplacements();
repl := BackendVariable.traverseBackendDAEVars(knvars, protectedParametersFinder, repl);
if Flags.isSet(Flags.DUMP_PP_REPL) then
BackendVarTransform.dumpReplacements(repl);
end if;
systs := List.map1(systs, removeProtectedParameterswork, repl);
shared.knownVars := knvars;
then
(BackendDAE.DAE(systs, shared));
end match;
end removeProtectedParameters;
protected function removeProtectedParameterswork
"author Frenkel TUD"
input BackendDAE.EqSystem isyst;
input BackendVarTransform.VariableReplacements repl;
output BackendDAE.EqSystem osyst;
algorithm
osyst := match isyst
local
BackendDAE.EqSystem syst;
BackendDAE.Variables vars;
BackendDAE.EquationArray eqns;
list<BackendDAE.Equation> lsteqns;
Boolean b;
case syst as BackendDAE.EQSYSTEM(orderedVars=vars, orderedEqs=eqns)
algorithm
lsteqns := BackendEquation.equationList(eqns);
(lsteqns, b) := BackendVarTransform.replaceEquations(BackendEquation.equationList(eqns), repl, NONE());
if b then
syst.orderedEqs := BackendEquation.listEquation(lsteqns);
syst := BackendDAEUtil.clearEqSyst(syst);
end if;
then
syst;
end match;
end removeProtectedParameterswork;
protected function protectedParametersFinder
input BackendDAE.Var inVar;
input BackendVarTransform.VariableReplacements inRepl;
output BackendDAE.Var outVar;
output BackendVarTransform.VariableReplacements outRepl;
algorithm
(outVar,outRepl) := matchcontinue (inVar,inRepl)
local
BackendDAE.Var v;
BackendVarTransform.VariableReplacements repl,repl_1;
DAE.ComponentRef varName;
Option< .DAE.VariableAttributes> values;
DAE.Exp exp;
Values.Value bindValue;
case (v as BackendDAE.VAR(varName=varName,varKind=BackendDAE.PARAM(),bindExp=SOME(exp),values=values),repl)
equation
true = DAEUtil.getProtectedAttr(values);
repl_1 = BackendVarTransform.addReplacement(repl, varName, exp,NONE());
then (v,repl_1);
case (v as BackendDAE.VAR(varName=varName,varKind=BackendDAE.PARAM(),bindValue=SOME(bindValue),values=values),repl)
equation
true = DAEUtil.getProtectedAttr(values);
true = BackendVariable.varFixed(v);
exp = ValuesUtil.valueExp(bindValue);
repl_1 = BackendVarTransform.addReplacement(repl, varName, exp,NONE());
then (v,repl_1);
else (inVar,inRepl);
end matchcontinue;
end protectedParametersFinder;
// =============================================================================
// remove equal function calls equations stuff
//
// =============================================================================
public function removeEqualFunctionCalls "author: Frenkel TUD 2011-04
This function detects equal function calls of the form a=f(b) and c=f(b) in
BackendDAE.BackendDAE to get speed up."
input BackendDAE.BackendDAE dae;
output BackendDAE.BackendDAE odae;
algorithm
if Flags.getConfigBool(Flags.CSE_CALL) or Flags.getConfigBool(Flags.CSE_EACHCALL) then
// skip this module if cse module is activated
odae := dae;
else
odae := BackendDAEUtil.mapEqSystem(dae,removeEqualFunctionCallsWork);
end if;
end removeEqualFunctionCalls;
protected function removeEqualFunctionCallsWork "author: Frenkel TUD 2011-04
This function detects equal function calls of the form a=f(b) and c=f(b) in
BackendDAE.BackendDAE to get speed up."
input BackendDAE.EqSystem isyst;
input BackendDAE.Shared ishared;
output BackendDAE.EqSystem osyst;
output BackendDAE.Shared oshared;
algorithm
(osyst,oshared) := match isyst
local
BackendDAE.IncidenceMatrix m;
BackendDAE.IncidenceMatrixT mT;
BackendDAE.Variables vars;
BackendDAE.EquationArray eqns;
list<Integer> changed;
Boolean b;
BackendDAE.EqSystem syst;
DAE.FunctionTree funcs;
case syst as BackendDAE.EQSYSTEM(orderedVars=vars,orderedEqs=eqns)
algorithm
funcs := BackendDAEUtil.getFunctions(ishared);
(syst, m, mT) := BackendDAEUtil.getIncidenceMatrixfromOption(syst, BackendDAE.NORMAL(), SOME(funcs));
// check equations
(m, (mT,_,_,changed)) := traverseIncidenceMatrix(m, removeEqualFunctionCallFinder, (mT,vars,eqns,{}));
// update arrayeqns and algorithms, collect info for wrappers
syst.m := SOME(m); syst.mT := SOME(mT); syst.matching := BackendDAE.NO_MATCHING();
syst := BackendDAEUtil.updateIncidenceMatrix(syst, BackendDAE.NORMAL(), NONE(), changed);
then (syst, ishared);
end match;
end removeEqualFunctionCallsWork;
protected function removeEqualFunctionCallFinder "author: Frenkel TUD 2010-12"
input tuple<BackendDAE.IncidenceMatrixElement,Integer,BackendDAE.IncidenceMatrix, tuple<BackendDAE.IncidenceMatrixT,BackendDAE.Variables,BackendDAE.EquationArray,list<Integer>>> inTpl;
output tuple<list<Integer>,BackendDAE.IncidenceMatrix, tuple<BackendDAE.IncidenceMatrixT,BackendDAE.Variables,BackendDAE.EquationArray,list<Integer>>> outTpl;
algorithm
outTpl:=
matchcontinue (inTpl)
local
BackendDAE.IncidenceMatrixElement elem;
Integer pos;
BackendDAE.IncidenceMatrix m,mT;
list<Integer> changed;
BackendDAE.Variables vars;
BackendDAE.EquationArray eqns,eqns1;
DAE.Exp exp,e1,e2,ecr;
list<Integer> expvars,controleqns,expvars1;
list<list<Integer>> expvarseqns;
case ((elem,pos,m,(mT,vars,eqns,changed)))
equation
// check number of vars in eqns
_::_ = elem;
BackendDAE.EQUATION(exp=e1,scalar=e2) = BackendEquation.equationNth1(eqns,pos);
// BackendDump.debugStrExpStrExpStr(("Test ",e1," = ",e2,"\n"));
(ecr,exp) = functionCallEqn(e1,e2,vars);
// TODO: Handle this with alias-equations instead?; at least they don't replace back to the original expression...
// failure(DAE.CREF(componentRef=_) = exp);
// failure(DAE.UNARY(operator=DAE.UMINUS(ty=_),exp=DAE.CREF(componentRef=_)) = exp);
// BackendDump.debugStrExpStrExpStr(("Found ",ecr," = ",exp,"\n"));
expvars = BackendDAEUtil.incidenceRowExp(exp,vars,{},NONE(),BackendDAE.NORMAL());
// print("expvars "); BackendDump.debuglst((expvars,intString," ","\n"));
(expvars1::expvarseqns) = List.map1(expvars,varEqns,(pos,mT));
// print("expvars1 "); BackendDump.debuglst((expvars1,intString," ","\n"));;
controleqns = getControlEqns(expvars1,expvarseqns);
// print("controleqns "); BackendDump.debuglst((controleqns,intString," ","\n"));
(eqns1,changed) = removeEqualFunctionCall(controleqns,ecr,exp,eqns,changed);
//print("changed1 "); BackendDump.debuglst((changed1,intString," ","\n"));
//print("changed2 "); BackendDump.debuglst((changed2,intString," ","\n"));
// print("Next\n");
then (({},m,(mT,vars,eqns1,changed)));
case ((_,_,m,(mT,vars,eqns,changed)))
then (({},m,(mT,vars,eqns,changed)));
end matchcontinue;
end removeEqualFunctionCallFinder;
protected function functionCallEqn
"author Frenkel TUD 2011-04"