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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 ..."
public import Absyn;
public import AbsynUtil;
public import BackendDAE;
public import DAE;
public import FCore;
public import HashTable2;
protected
import AdjacencyMatrix;
import Algorithm;
import Array;
import BackendDAETransform;
import BackendDAEUtil;
import BackendDump;
import BackendEquation;
import BackendDAEEXT;
import BackendInline;
import BackendVarTransform;
import BackendVariable;
import BaseHashTable;
import CheckModel;
import ClassInf;
import ComponentReference;
import DAEUtil;
import DAEDump;
import DoubleEnded;
import Differentiate;
import ElementSource;
import ExpandableArray;
import Expression;
import ExpressionDump;
import ExpressionSolve;
import ExpressionSimplify;
import Error;
import Flags;
import GCExt;
import HashTableExpToIndex;
import HpcOmTaskGraph;
import List;
import Matching;
import MetaModelica.Dangerous;
import Mutable;
import RewriteRules;
import SCode;
import SynchronousFeatures;
import Tearing;
import Types;
import UnorderedMap;
import Util;
import Values;
public function simplifyAllExpressions "author: lochel"
input BackendDAE.BackendDAE inDAE;
output BackendDAE.BackendDAE outDAE = inDAE;
protected
list<BackendDAE.Equation> removedEqsList = {};
BackendDAE.Shared shared;
algorithm
_ := BackendDAEUtil.traverseBackendDAEExpsNoCopyWithUpdate(outDAE, ExpressionSimplify.simplify1TraverseHelper, 0);
// filter empty algorithms
shared := outDAE.shared;
for eq in BackendEquation.equationList(shared.removedEqs) loop
removedEqsList := match eq
case BackendDAE.ALGORITHM(alg=DAE.ALGORITHM_STMTS(statementLst={})) then removedEqsList;
else eq::removedEqsList;
end match;
end for;
shared.removedEqs := BackendEquation.listEquation(MetaModelica.Dangerous.listReverseInPlace(removedEqsList));
outDAE.shared := shared;
end simplifyAllExpressions;
// =============================================================================
// simplifyInStream
//
// OM introduces $OMC$PosetiveMax which can simplified using min or max attribute
// see Modelica spec for inStream
// author: Vitalij Ruge
// see. #3885, 4441, 5104
// =============================================================================
public function simplifyInStream
input output BackendDAE.BackendDAE dae;
protected
BackendDAE.Shared shared = dae.shared;
BackendDAE.EqSystems eqs = dae.eqs;
list<BackendDAE.Variables> vars = list(eq.orderedVars for eq in eqs);
algorithm
// from the description inputs are part of globalKnownVars and localKnownVars :(
vars := shared.globalKnownVars :: vars; // need inputs with min = 0 or max = 0
vars := shared.localKnownVars :: vars;
_ := BackendDAEUtil.traverseBackendDAEExpsNoCopyWithUpdate(dae, simplifyInStreamWork, vars);
end simplifyInStream;
protected function simplifyInStreamWork
input DAE.Exp inExp;
input list<BackendDAE.Variables> inVars;
output DAE.Exp outExp;
output list<BackendDAE.Variables> outVars = inVars;
algorithm
outExp := Expression.traverseExpBottomUp(inExp, simplifyInStreamWork2, outVars);
// with #5104 we remove max(x, eps)
// so in case max(x,eps)*y/max(x,eps) => x*y/x
// now x can be equal 0, so we need simplify x*y/x = y
// it's seem no other models silplyfied it
if not Expression.expEqual(outExp, inExp) then
outExp := ExpressionSimplify.simplify(outExp);
end if;
end simplifyInStreamWork;
protected function simplifyInStreamWork2
input DAE.Exp inExp;
input list<BackendDAE.Variables> inVars;
output DAE.Exp outExp;
output list<BackendDAE.Variables> outVars = inVars;
algorithm
outExp := match inExp
local
DAE.Type tp;
DAE.ComponentRef cr;
DAE.Exp e, expr, ret;
Option<DAE.Exp> eMin, eMax;
// positiveMax(cref, eps) = 0 if variable(cref).max <= 0
// positiveMax(cref, eps) = cref if variable(cref).min >= eps
case DAE.CALL(path = Absyn.IDENT("$OMC$PositiveMax"), expLst = {e as DAE.CREF(componentRef = cr), expr}) algorithm
(eMin, eMax) := simplifyInStreamGetMinMaxAttributes(cr, outVars);
tp := ComponentReference.crefTypeFull(cr);
ret := if Util.applyOptionOrDefault(eMax, Expression.isNegativeOrZero, false) then Expression.createZeroExpression(tp)
elseif Util.applyOptionOrDefault(eMin, function Expression.isGreaterOrEqual(exp2 = expr), false) then e
else Expression.makePureBuiltinCall("max", {e, expr}, tp);
then ret;
// positiveMax(-cref, eps) = 0 if variable(cref).min >= 0
// positiveMax(-cref, eps) = -cref if variable(cref).max <= -eps
case DAE.CALL(path = Absyn.IDENT("$OMC$PositiveMax"), expLst = {e as DAE.UNARY(DAE.UMINUS(tp), DAE.CREF(componentRef = cr)), expr}) algorithm
(eMin, eMax) := simplifyInStreamGetMinMaxAttributes(cr, outVars);
ret := if Util.applyOptionOrDefault(eMin, Expression.isPositiveOrZero, false) then Expression.createZeroExpression(tp)
elseif Util.applyOptionOrDefault(eMax, function Expression.isGreaterOrEqual(exp1 = expr), false) then e
else Expression.makePureBuiltinCall("max", {e, expr}, tp);
then ret;
// positiveMax(cref, eps) = max(cref,eps) in the general case
case DAE.CALL(path = Absyn.IDENT("$OMC$PositiveMax"), expLst = {e, expr})
then Expression.makePureBuiltinCall("max", {e, expr}, Expression.typeof(e));
case DAE.CALL(path = Absyn.IDENT("$OMC$inStreamDiv"), expLst = {e, expr}) algorithm
e := ExpressionSimplify.simplify(e);
ret := match e
local
DAE.Exp a,b;
case DAE.BINARY(a, DAE.DIV(), b) guard Expression.isZero(a) and Expression.isZero(b)
then expr;
else e;
end match;
then ret;
else inExp;
end match;
end simplifyInStreamWork2;
protected function simplifyInStreamGetMinMaxAttributes
input DAE.ComponentRef cr;
input list<BackendDAE.Variables> inVars;
output Option<DAE.Exp> outMin = NONE();
output Option<DAE.Exp> outMax = NONE();
protected
BackendDAE.Var v;
algorithm
for vars in inVars loop
try
(v, _) := BackendVariable.getVarSingle(cr, vars);
(outMin, outMax) := BackendVariable.getMinMaxAttribute(v);
break;
else
// search
end try;
end for;
end simplifyInStreamGetMinMaxAttributes;
// =============================================================================
// 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.Shared shared;
BackendDAE.EqSystem syst;
case (syst, shared)
algorithm
((_, (_, _, true))) := BackendDAEUtil.traverseBackendDAEExpsEqns (
syst.orderedEqs, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls,
(shared.globalKnownVars, shared.aliasVars, false))
);
((_, (_, _, true))) := BackendDAEUtil.traverseBackendDAEExpsEqns (
syst.removedEqs, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls,
(shared.globalKnownVars, shared.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 globalKnownVars, aliasvars;
DAE.Type tp;
DAE.Exp e, zero;
DAE.ComponentRef cr;
BackendDAE.Var var;
DAE.CallAttributes attr;
Boolean negate;
String idn;
case (DAE.CALL(path=Absyn.IDENT(name="der"), expLst={DAE.CREF(componentRef=cr, ty=tp)}), (globalKnownVars, aliasvars, _)) equation
(var, _) = BackendVariable.getVarSingle(cr, globalKnownVars);
false = BackendVariable.isVarOnTopLevelAndInput(var);
(zero, _) = Expression.makeZeroExpression(Expression.arrayDimension(tp));
then (zero, (globalKnownVars, aliasvars, true));
case (DAE.CALL(path=Absyn.IDENT(name=idn), expLst={e as DAE.CREF(componentRef=cr)}), (globalKnownVars, aliasvars, _)) guard idn=="pre" or idn=="previous" equation
(_, _) = BackendVariable.getVarSingle(cr, globalKnownVars);
then(e, (globalKnownVars, aliasvars, true));
case (DAE.CALL(path=Absyn.IDENT(name=idn), expLst={e as DAE.CREF(componentRef=DAE.CREF_IDENT(ident="time"))}), (globalKnownVars, aliasvars, _)) guard idn=="pre" or idn=="previous"
then (e, (globalKnownVars, aliasvars, true));
case (DAE.CALL(path=Absyn.IDENT(name=idn), expLst={e as DAE.UNARY(DAE.UMINUS(_), DAE.CREF(componentRef=DAE.CREF_IDENT(ident="time")))}), (globalKnownVars, aliasvars, _)) guard idn=="pre" or idn=="previous"
then (e, (globalKnownVars, aliasvars, true));
case (DAE.CALL(path=Absyn.IDENT(name=idn), expLst={DAE.CREF(componentRef=cr, ty=tp)}, attr=attr), (globalKnownVars, aliasvars, _)) guard idn=="pre" or idn=="previous" equation
(var, _) = BackendVariable.getVarSingle(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(idn), {e}, attr));
(e, _) = Expression.traverseExpBottomUp(e, traverserExpsimplifyTimeIndepFuncCalls, (globalKnownVars, aliasvars, false));
then (e, (globalKnownVars, aliasvars, true));
case (DAE.CALL(path=Absyn.IDENT(name=idn), expLst={DAE.CREF(componentRef=cr, ty=tp)}), (globalKnownVars, aliasvars, _)) guard idn=="change" or idn=="edge" equation
(_::_, _) = BackendVariable.getVar(cr, globalKnownVars);
zero = Expression.arrayFill(Expression.arrayDimension(tp), DAE.BCONST(false));
then (zero, (globalKnownVars, aliasvars, true));
case (DAE.CALL(path=Absyn.IDENT(name=idn), expLst={DAE.CREF(componentRef=cr, ty=tp)}), (globalKnownVars, aliasvars, _)) guard idn=="change" or idn=="edge" equation
(_::_, _) = BackendVariable.getVar(cr, aliasvars);
zero = Expression.arrayFill(Expression.arrayDimension(tp), DAE.BCONST(false));
then (zero, (globalKnownVars, aliasvars, true));
case (DAE.CALL(path=Absyn.IDENT(name=idn), expLst={DAE.CREF(componentRef=DAE.CREF_IDENT(ident="time"))}), (globalKnownVars, aliasvars, _)) guard idn=="change" or idn=="edge"
then (DAE.BCONST(false), (globalKnownVars, aliasvars, true));
case (DAE.CALL(path=Absyn.IDENT(name=idn), expLst={DAE.CREF(componentRef=cr, ty=tp)}, attr=attr), (globalKnownVars, aliasvars, _)) guard idn=="change" or idn=="edge" equation
(var, _) = BackendVariable.getVarSingle(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(idn), {e}, attr));
(e, _) = Expression.traverseExpBottomUp(e, traverserExpsimplifyTimeIndepFuncCalls, (globalKnownVars, aliasvars, false));
then (e, (globalKnownVars, 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.globalKnownVars, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls, (shared.globalKnownVars, shared.aliasVars, false)));
BackendDAEUtil.traverseBackendDAEExpsEqns(shared.initialEqs, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls, (shared.globalKnownVars, shared.aliasVars, false)));
BackendDAEUtil.traverseBackendDAEExpsEqns(shared.removedEqs, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls, (shared.globalKnownVars, shared.aliasVars, false)));
(shared.eventInfo, _) := traverseEventInfoExps(shared.eventInfo, Expression.traverseSubexpressionsHelper, (traverserExpsimplifyTimeIndepFuncCalls, (shared.globalKnownVars, shared.aliasVars, false)));
outDAE := BackendDAE.DAE(inDAE.eqs, shared);
end simplifyTimeIndepFuncCallsShared;
protected function traverseEventInfoExps<T>
input output BackendDAE.EventInfo eventInfo;
input FuncExpType func;
input output T arg;
partial function FuncExpType
input DAE.Exp inExp;
input T inTypeA;
output DAE.Exp outExp;
output T outA;
end FuncExpType;
algorithm
arg := DoubleEnded.mapFoldNoCopy(eventInfo.zeroCrossings.zc, function traverseZeroCrossingExps(func=func), arg);
arg := DoubleEnded.mapFoldNoCopy(eventInfo.samples.zc, function traverseZeroCrossingExps(func=func), arg);
arg := DoubleEnded.mapFoldNoCopy(eventInfo.relations, function traverseZeroCrossingExps(func=func), arg);
end traverseEventInfoExps;
protected function traverseZeroCrossingExps<T>
input output BackendDAE.ZeroCrossing zc;
input FuncExpType func;
input output T arg;
partial function FuncExpType
input DAE.Exp inExp;
input T inTypeA;
output DAE.Exp outExp;
output T outA;
end FuncExpType;
protected
DAE.Exp relation;
algorithm
(relation, arg) := Expression.traverseExpBottomUp(zc.relation_, func, arg);
if not referenceEq(relation, zc.relation_) then
zc.relation_ := relation;
end if;
end traverseZeroCrossingExps;
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,globalKnownVars;
DAE.ComponentRef cr;
BackendDAE.Var var;
list<BackendDAE.Var> vlst;
case (e as DAE.CREF(DAE.CREF_IDENT(ident = "time",subscriptLst = {}),_), (_,vars,globalKnownVars,b1,b2))
then (e,false,(true,vars,globalKnownVars,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,globalKnownVars,b1,b2))
equation
(vlst,_::_)= BackendVariable.getVar(cr, globalKnownVars) "input variables stored in known variables are input on top level";
false = List.mapAllValueBool(vlst,toplevelInputOrUnfixed,false);
then (e,false,(true,vars,globalKnownVars,b1,b2));
case (e as DAE.CALL(path = Absyn.IDENT(name = "sample"), expLst = {_,_,_}), (_,vars,globalKnownVars,b1,b2)) then (e,false,(true,vars,globalKnownVars,b1,b2));
case (e as DAE.CALL(path = Absyn.IDENT(name = "pre"), expLst = {_}), (_,vars,globalKnownVars,b1,b2)) then (e,false,(true,vars,globalKnownVars,b1,b2));
case (e as DAE.CALL(path = Absyn.IDENT(name = "previous"), expLst = {_}), (_,vars,globalKnownVars,b1,b2)) then (e,false,(true,vars,globalKnownVars,b1,b2));
case (e as DAE.CALL(path = Absyn.IDENT(name = "change"), expLst = {_}), (_,vars,globalKnownVars,b1,b2)) then (e,false,(true,vars,globalKnownVars,b1,b2));
case (e as DAE.CALL(path = Absyn.IDENT(name = "edge"), expLst = {_}), (_,vars,globalKnownVars,b1,b2)) then (e,false,(true,vars,globalKnownVars,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,globalKnownVars,true,b2))
equation
(var::_,_::_)= BackendVariable.getVar(cr, globalKnownVars);
DAE.INPUT() = BackendVariable.getVarDirection(var);
then (e,false,(true,vars,globalKnownVars,true,b2));
// unkown var
case (e as DAE.CREF(cr,_), (_,vars,globalKnownVars,b1,true))
equation
(_::_,_::_)= BackendVariable.getVar(cr, vars);
then (e,false,(true,vars,globalKnownVars,b1,true));
case (e,(b,_,_,_,_)) then (e,not b,inTpl);
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.AdjacencyMatrix inM;
output Integer outSimpleEqns;
algorithm
outSimpleEqns:=
match (inDlow,inM)
local
BackendDAE.BackendDAE dlow;
BackendDAE.EquationArray eqns;
Integer n;
case (dlow,_)
equation
// check equations
(_,(_,n)) = AdjacencyMatrix.traverseAdjacencyMatrix(inM,countSimpleEquationsFinder,(dlow,0));
then n;
end match;
end countSimpleEquations;
protected function countSimpleEquationsFinder
"author: Frenkel TUD 2011-05"
input BackendDAE.AdjacencyMatrixElement elem;
input Integer pos;
input tuple<BackendDAE.BackendDAE,Integer> inTpl;
output list<Integer> outList;
output tuple<BackendDAE.BackendDAE,Integer> outTpl;
algorithm
(outList,outTpl) :=
matchcontinue (elem,pos,inTpl)
local
Integer l,i,n,n_1;
BackendDAE.BackendDAE dae;
BackendDAE.EqSystem syst;
BackendDAE.Shared shared;
case (_,_,(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 ({},(dae,n_1));
else ({},inTpl);
end matchcontinue;
end countSimpleEquationsFinder;
protected function countsimpleEquation
" author: Frenkel TUD 2011-05"
input BackendDAE.AdjacencyMatrixElement 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,globalKnownVars;
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.get(eqns,pos);
BackendDAE.EQUATION(exp=e1,scalar=e2) = eqn;
// variable time not there
globalKnownVars = BackendVariable.daeGlobalKnownVars(shared);
(_,(false,_,_,_,_)) = Expression.traverseExpTopDown(e1, traversingTimeEqnsFinder, (false,vars,globalKnownVars,true,false));
(_,(false,_,_,_,_)) = Expression.traverseExpTopDown(e2, traversingTimeEqnsFinder, (false,vars,globalKnownVars,true,false));
cr = BackendVariable.varCref(var);
cre = Expression.crefExp(cr);
(_,{}) = ExpressionSolve.solve(e1,e2,cre, NONE());
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.get(eqns,pos);
BackendDAE.EQUATION(exp=e1,scalar=e2) = eqn;
// variable time not there
globalKnownVars = BackendVariable.daeGlobalKnownVars(shared);
(_,(false,_,_,_,_)) = Expression.traverseExpTopDown(e1, traversingTimeEqnsFinder, (false,vars,globalKnownVars,false,false));
(_,(false,_,_,_,_)) = Expression.traverseExpTopDown(e2, traversingTimeEqnsFinder, (false,vars,globalKnownVars,false,false));
cr = BackendVariable.varCref(var);
cre = Expression.crefExp(cr);
(_,{}) = ExpressionSolve.solve(e1,e2,cre, NONE());
then ();
// a = der(b)
case ({_,_},_,_,_,_)
equation
eqns = BackendEquation.getEqnsFromEqSystem(syst);
eqn = BackendEquation.get(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.get(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 globalKnownVars;
BackendVarTransform.VariableReplacements repl;
BackendDAE.EqSystems systs;
BackendDAE.Shared shared;
case (BackendDAE.DAE(systs, shared as BackendDAE.SHARED(globalKnownVars=globalKnownVars)))
algorithm
repl := BackendVarTransform.emptyReplacements();
((repl, _)) := BackendVariable.traverseBackendDAEVars(globalKnownVars, removeParametersFinder, (repl, globalKnownVars));
(globalKnownVars, repl) := replaceFinalVars(1, globalKnownVars, repl);
(globalKnownVars, repl) := replaceFinalVars(1, globalKnownVars, repl);
if Flags.isSet(Flags.DUMP_PARAM_REPL) then
BackendVarTransform.dumpReplacements(repl);
end if;
systs := List.map1(systs,removeParameterswork, repl);
shared.globalKnownVars := globalKnownVars;
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.AdjacencyMatrix> 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;
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));
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 globalKnownVars,globalKnownVars1,globalKnownVars2;
BackendVarTransform.VariableReplacements repl,repl1,repl2;
case(numrepl,globalKnownVars,repl)
equation
true = intEq(0,numrepl);
then (globalKnownVars,repl);
case(_,globalKnownVars,repl)
equation
(globalKnownVars1, (repl1,numrepl)) = BackendVariable.traverseBackendDAEVarsWithUpdate(globalKnownVars,replaceFinalVarTraverser,(repl,0));
(globalKnownVars2, repl2) = replaceFinalVars(numrepl,globalKnownVars1,repl1);
then (globalKnownVars2,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;
// Don't replace with function calls
case (BackendDAE.VAR(bindExp=SOME(DAE.CALL())),_)
then(inVar,inTpl);
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 globalKnownVars;
BackendVarTransform.VariableReplacements repl;
BackendDAE.EqSystems systs;
BackendDAE.Shared shared;
case BackendDAE.DAE(systs, shared as BackendDAE.SHARED(globalKnownVars=globalKnownVars))
algorithm
repl := BackendVarTransform.emptyReplacements();
repl := BackendVariable.traverseBackendDAEVars(globalKnownVars, protectedParametersFinder, repl);
if Flags.isSet(Flags.DUMP_PP_REPL) then
BackendVarTransform.dumpReplacements(repl);
end if;
systs := List.map1(systs, removeProtectedParameterswork, repl);
shared.globalKnownVars := globalKnownVars;
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(orderedEqs=eqns)
algorithm
lsteqns := BackendEquation.equationList(eqns);
(lsteqns, b) := BackendVarTransform.replaceEquations(lsteqns, 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;
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);
else (inVar,inRepl);
end matchcontinue;
end protectedParametersFinder;
// =============================================================================
// remove equal function calls equations stuff
//
// =============================================================================
public function removeEqualRHS "author: Frenkel TUD 2011-04
Detects equal expressions of the form a=<exp> and b=<exp> and substitutes
them to get speed up."
input BackendDAE.BackendDAE dae;
output BackendDAE.BackendDAE odae;
algorithm
odae := BackendDAEUtil.mapEqSystem(dae,removeEqualFunctionCallsWork);
end removeEqualRHS;
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.AdjacencyMatrix m;
BackendDAE.AdjacencyMatrixT mT;
BackendDAE.Variables vars;
BackendDAE.EquationArray eqns;
list<Integer> changed;
Boolean b, isInitial;
BackendDAE.EqSystem syst;
DAE.FunctionTree funcs;
case syst as BackendDAE.EQSYSTEM(orderedVars=vars,orderedEqs=eqns)
algorithm
isInitial := BackendDAEUtil.isInitializationDAE(ishared);
funcs := BackendDAEUtil.getFunctions(ishared);
(syst, m, mT) := BackendDAEUtil.getAdjacencyMatrixfromOption(syst, BackendDAE.NORMAL(), SOME(funcs), isInitial);
// check equations
(m, (mT,_,_,changed,_)) := AdjacencyMatrix.traverseAdjacencyMatrix(m, removeEqualFunctionCallFinder, (mT,vars,eqns,{}, isInitial));
// update arrayeqns and algorithms, collect info for wrappers
syst.m := SOME(m); syst.mT := SOME(mT); syst.matching := BackendDAE.NO_MATCHING();
syst := BackendDAEUtil.updateAdjacencyMatrix(syst, BackendDAE.NORMAL(), NONE(), changed, isInitial);
then (syst, ishared);
end match;
end removeEqualFunctionCallsWork;
protected function removeEqualFunctionCallFinder "author: Frenkel TUD 2010-12"
input BackendDAE.AdjacencyMatrixElement elem;
input Integer pos;
input tuple<BackendDAE.AdjacencyMatrixT,BackendDAE.Variables,BackendDAE.EquationArray,list<Integer>,Boolean> inTpl;
output list<Integer> outList;
output tuple<BackendDAE.AdjacencyMatrixT,BackendDAE.Variables,BackendDAE.EquationArray,list<Integer>,Boolean> outTpl;
algorithm
(outList,outTpl):=
matchcontinue inTpl
local
BackendDAE.AdjacencyMatrix mT;
list<Integer> changed;
BackendDAE.Variables vars;
BackendDAE.EquationArray eqns,eqns1;
DAE.Exp exp,e1,e2,ecr;
AvlSetInt.Tree expvars;
list<Integer> controleqns,expvars1;
list<list<Integer>> expvarseqns;
Boolean isInitial;
case (mT,vars,eqns,changed,isInitial)
equation
// check number of vars in eqns
_::_ = elem;
BackendDAE.EQUATION(exp=e1,scalar=e2) = BackendEquation.get(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.adjacencyRowExp(exp,vars,AvlSetInt.EMPTY(),NONE(),BackendDAE.NORMAL(),isInitial);
// print("expvars "); BackendDump.debuglst((expvars,intString," ","\n"));
(expvars1::expvarseqns) = List.map2(AvlSetInt.listKeys(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 ({},(mT,vars,eqns1,changed,isInitial));
case _
then ({},inTpl);
end matchcontinue;
end removeEqualFunctionCallFinder;
protected function functionCallEqn
"author Frenkel TUD 2011-04"
input DAE.Exp ie1;
input DAE.Exp ie2;
input BackendDAE.Variables inVars;
output DAE.Exp outECr;
output DAE.Exp outExp;
algorithm
(outECr,outExp) := match (ie1,ie2,inVars)
local
DAE.ComponentRef cr;
DAE.Exp e1,e2;
DAE.Operator op;
case (DAE.CREF(),DAE.UNARY(operator=DAE.UMINUS(),exp=DAE.CREF()),_)
then fail();
case (DAE.CREF(),DAE.CREF(),_)
then fail();
case (DAE.UNARY(operator=DAE.UMINUS(),exp=DAE.CREF()),DAE.CREF(),_)
then fail();
// a = -<exp>
case (e1 as DAE.CREF(componentRef = cr),DAE.UNARY(operator=op as DAE.UMINUS(),exp=e2),_)
equation
((_::_),(_::_)) = BackendVariable.getVar(cr,inVars);
then (DAE.UNARY(op,e1),e2);
// a = <exp>;
case (e1 as DAE.CREF(componentRef = cr),e2,_)
equation
((_::_),(_::_)) = BackendVariable.getVar(cr,inVars);
then (e1,e2);
// -<exp> = a
case (DAE.UNARY(operator=op as DAE.UMINUS(),exp=e1),e2 as DAE.CREF(componentRef = cr),_)
equation
((_::_),(_::_)) = BackendVariable.getVar(cr,inVars);
then (DAE.UNARY(op,e2),e1);
// <exp> = a
case (e1,e2 as DAE.CREF(componentRef = cr),_)
equation
((_::_),(_::_)) = BackendVariable.getVar(cr,inVars);
then (e2,e1);
end match;
end functionCallEqn;
protected function varEqns
"author Frenkel TUD 2011-04"
input Integer v;
input Integer pos;
input BackendDAE.AdjacencyMatrixT mT;
output list<Integer> outVarEqns;
protected
list<Integer> vareqns,vareqns1;
algorithm
vareqns := mT[intAbs(v)];
vareqns1 := List.map(vareqns, intAbs);
outVarEqns := List.removeOnTrue(intAbs(pos),intEq,vareqns1);
end varEqns;
protected function getControlEqns
"author Frenkel TUD 2011-04"
input list<Integer> inVarsEqn;
input list<list<Integer>> inVarsEqns;
output list<Integer> outEqns;