/
ExpressionSimplify.mo
5533 lines (4923 loc) · 180 KB
/
ExpressionSimplify.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 ExpressionSimplify
" file: ExpressionSimplify.mo
package: ExpressionSimplify
description: ExpressionSimplify
RCS: $Id$
This file contains the module ExpressionSimplify, which contains
functions to simplify a DAE.Expression."
// public imports
public import Absyn;
public import ClassInf;
public import DAE;
public import Error;
public import ExpressionSimplifyTypes;
protected type ComponentRef = DAE.ComponentRef;
protected type Ident = String;
protected type Operator = DAE.Operator;
protected type Type = DAE.Type;
protected type Subscript = DAE.Subscript;
// protected imports
protected import ComponentReference;
protected import Config;
protected import DAEUtil;
protected import Debug;
protected import FCore;
protected import FGraph;
protected import ErrorExt;
protected import Expression;
protected import ExpressionDump;
protected import Flags;
protected import List;
protected import Prefix;
protected import Static;
protected import Types;
protected import Util;
protected import Values;
protected import ValuesUtil;
protected constant ExpressionSimplifyTypes.Options optionSimplifyOnly = ExpressionSimplifyTypes.optionSimplifyOnly;
public function simplify "Simplifies expressions"
input DAE.Exp inExp;
output DAE.Exp outExp;
output Boolean hasChanged;
algorithm
(outExp,hasChanged) := simplifyWithOptions(inExp,optionSimplifyOnly);
end simplify;
public function condsimplify "Simplifies expressions on condition"
input Boolean cond;
input DAE.Exp inExp;
output DAE.Exp outExp;
output Boolean hasChanged;
algorithm
(outExp,hasChanged) := match(cond,inExp)
local DAE.Exp e;
case(true,_)
equation
(outExp,hasChanged) = simplifyWithOptions(inExp,optionSimplifyOnly);
then
(outExp,hasChanged);
case(false,e)
then (e,false);
end match;
end condsimplify;
protected function simplifyWithOptions "Simplifies expressions"
input DAE.Exp inExp;
input ExpressionSimplifyTypes.Options options;
output DAE.Exp outExp;
output Boolean hasChanged;
algorithm
(outExp,hasChanged) := matchcontinue (inExp,options)
local
DAE.Exp e, eNew;
Boolean b;
case (e,(_,ExpressionSimplifyTypes.DO_EVAL()))
equation
(eNew,_) = simplify1WithOptions(e,options); // Basic local simplifications
Error.assertionOrAddSourceMessage(Expression.isConstValue(eNew), Error.INTERNAL_ERROR, {"eval exp failed"}, Absyn.dummyInfo);
b = not Expression.expEqual(e,eNew);
then (eNew,b);
case (e,_)
equation
false = Config.getNoSimplify();
//print("SIMPLIFY BEFORE->" +& ExpressionDump.printExpStr(e) +& "\n");
(eNew,_) = simplify1WithOptions(e,options); // Basic local simplifications
//print("SIMPLIFY INTERMEDIATE->" +& ExpressionDump.printExpStr(eNew) +& "\n");
eNew = simplify2(eNew); // Advanced (global) simplifications
(eNew,_) = simplify1WithOptions(eNew,options); // Basic local simplifications
b = not Expression.expEqual(e,eNew);
//print("SIMPLIFY FINAL->" +& ExpressionDump.printExpStr(eNew) +& "\n");
then (eNew,b);
case (e,_)
equation
(eNew,b) = simplify1WithOptions(e,options);
then (eNew,b);
end matchcontinue;
end simplifyWithOptions;
public function simplifyTraverseHelper
input DAE.Exp inExp;
input A inA;
output DAE.Exp exp;
output A a;
replaceable type A subtypeof Any;
algorithm
a := inA;
(exp,_) := simplify(inExp);
end simplifyTraverseHelper;
public function simplify1time "simplify1 with timing"
input DAE.Exp e;
output DAE.Exp outE;
protected
Real t1,t2;
algorithm
t1 := clock();
(outE,_) := simplify1(e);
t2 := clock();
print(Util.if_(t2 -. t1 >. 0.01,"simplify1 took "+&realString(t2 -. t1)+&" seconds for exp: "+&ExpressionDump.printExpStr(e)+& " \nsimplified to :"+&ExpressionDump.printExpStr(outE)+&"\n",""));
end simplify1time;
public function simplifyWork
"This function does some very basic simplification
on expressions, like 0*a = 0, [1][1] => 1, etc.
This function can be optimised to a switch-statement due to all uniontypes being different.
"
input DAE.Exp inExp;
input ExpressionSimplifyTypes.Options options;
output DAE.Exp outExp;
output ExpressionSimplifyTypes.Options outOptions;
algorithm
(outExp,outOptions) := match /* switch: keep it as such */ (inExp,options)
local
Integer n,i;
DAE.Exp e,exp,e1,e_1,e2,e3,exp1;
Type t,tp;
Boolean b,b2;
String idn,str;
list<DAE.Exp> expl,matrix,subs;
list<Subscript> s;
ComponentRef c_1;
Operator op;
Integer index_;
Option<tuple<DAE.Exp,Integer,Integer>> isExpisASUB;
DAE.ReductionInfo reductionInfo;
DAE.ReductionIterators riters;
Option<DAE.Exp> oe;
case (DAE.SIZE(exp=e1,sz=oe),_)
then (simplifySize(inExp,e1,oe),options);
/* simplify different casts. Optimized to only run simplify1 once on subexpression e*/
case (DAE.CAST(ty = tp,exp=e),_)
equation
e = simplifyCast(inExp,e,tp);
then (e,options);
case (DAE.ASUB(exp = e, sub = subs),_)
equation
e = simplifyAsubExp(inExp,e,subs);
then (e,options);
case (DAE.TSUB(exp = _), _) then (simplifyTSub(inExp),options);
// unary operations
case (DAE.UNARY(operator = op,exp = e1), _)
equation
e = simplifyUnary(inExp, op, e1);
then (e,options);
case (DAE.BINARY(exp1 = e1,operator = op, exp2 = e2), _)
equation
e = simplifyBinary(inExp, op, e1, e2);
then (e,options);
// relations
case (DAE.RELATION(exp1 = e1,operator = op,exp2 = e2, index=_, optionExpisASUB= _),_)
equation
e = simplifyRelation(inExp, op, e1, e2);
then (e,options);
// logical unary expressions
case (DAE.LUNARY(operator = op,exp = e1),_)
equation
e = simplifyUnary(inExp, op, e1);
then (e,options);
// logical binary expressions
case (DAE.LBINARY(exp1 = e1,operator = op,exp2 = e2),_)
equation
e = simplifyLBinary(inExp, op, e1, e2);
then (e,options);
// if true and false branches are equal
case (DAE.IFEXP(expCond = e1,expThen = e2,expElse = e3),_)
equation
e = simplifyIfExp(inExp,e1,e2,e3);
then (e,options);
// component references
case (DAE.CREF(componentRef = c_1,ty=t),_)
equation
e = simplifyCref(inExp,c_1,t);
then (e,options);
case (DAE.REDUCTION(reductionInfo,e1,riters),_)
equation
(riters,b2) = simplifyReductionIterators(riters, {}, false);
exp1 = Util.if_(b2,DAE.REDUCTION(reductionInfo,e1,riters),inExp);
then (simplifyReduction(exp1),options);
case (DAE.CALL(path=_),_) then (simplifyCall(inExp),options);
case (DAE.MATCHEXPRESSION(cases=_),_) then (simplifyMatch(inExp),options);
case (DAE.UNBOX(exp=_),_) then (simplifyUnbox(inExp),options);
case (DAE.BOX(exp=_),_) then (simplifyUnbox(inExp),options);
case (DAE.CONS(car=_),_) then (simplifyCons(inExp),options);
// Look for things we really *should* have simplified, but only if we did not modify anything!
/* case ((e,(false,_)))
equation
true = Flags.isSet(Flags.CHECK_SIMPLIFY);
true = Expression.isConst(e);
false = Expression.isConstValue(e);
str = ExpressionDump.printExpStr(e);
Error.addSourceMessage(Error.SIMPLIFY_CONSTANT_ERROR, {str}, Absyn.dummyInfo);
then fail(); */
// anything else
else (inExp,options);
end match;
end simplifyWork;
protected function simplifyAsubExp
input DAE.Exp origExp;
input DAE.Exp inExp;
input list<DAE.Exp> inSubs;
output DAE.Exp outExp;
algorithm
outExp := matchcontinue (origExp,inExp,inSubs)
local
DAE.Type tp;
DAE.Exp e;
// ASUB(CAST(e)) -> CAST(liftArray(t), ASUB(e))
case (_, DAE.CAST(tp,e), _)
equation
tp = Expression.unliftArray(tp);
e = DAE.CAST(tp, DAE.ASUB(e, inSubs));
then e;
// Simplify asubs where some of the subscripts are slices.
case (_, _, _)
then simplifyAsubSlicing(inExp, inSubs);
// other subscripting/asub simplifications where e is not simplified first.
case (_,_,_)
equation
_ = List.map(inSubs,Expression.expInt);
then List.foldr(inSubs,simplifyAsub,inExp);
else origExp;
end matchcontinue;
end simplifyAsubExp;
protected function simplifyCall
input DAE.Exp inExp;
output DAE.Exp outExp;
algorithm
outExp := matchcontinue inExp
local
DAE.Exp e,e1,e2,exp;
list<DAE.Exp> matrix,expl;
DAE.CallAttributes attr;
DAE.Type tp;
Boolean b2;
String idn;
Integer n;
// homotopy(e, e) => e
case DAE.CALL(path=Absyn.IDENT("homotopy"),expLst={e1,e2})
equation
true = Expression.expEqual(e1,e2);
then
e1;
// noEvent propagated to relations and event triggering functions
case DAE.CALL(path=Absyn.IDENT("noEvent"),expLst={e})
equation
b2 = Expression.isRelation(e) or Expression.isEventTriggeringFunctionExp(e);
then Debug.bcallret1(not b2,simplifyNoEvent,e,inExp);
// der(-v) -> -der(v)
case DAE.CALL(path=Absyn.IDENT("der"), expLst={DAE.UNARY(DAE.UMINUS(tp),e1 as DAE.CREF(componentRef=_))},attr=attr)
then
DAE.UNARY(DAE.UMINUS(tp),DAE.CALL(Absyn.IDENT("der"),{e1},attr));
case DAE.CALL(path=Absyn.IDENT("der"), expLst={DAE.UNARY(DAE.UMINUS_ARR(tp),e1 as DAE.CREF(componentRef=_))},attr=attr)
then DAE.UNARY(DAE.UMINUS_ARR(tp),DAE.CALL(Absyn.IDENT("der"),{e1},attr));
case DAE.CALL(path=Absyn.IDENT("pre"), expLst={DAE.CREF(componentRef=_)})
then inExp;
case DAE.CALL(path=Absyn.IDENT("change"), expLst={DAE.CREF(componentRef=_)})
then inExp;
case DAE.CALL(path=Absyn.IDENT("edge"), expLst={DAE.CREF(componentRef=_)})
then inExp;
case DAE.CALL(path=Absyn.IDENT("pre"), expLst={e as DAE.ASUB(exp = exp)})
equation
b2 = Expression.isConst(exp);
then Util.if_(b2,e,inExp);
case DAE.CALL(path=Absyn.IDENT("change"), expLst={DAE.ASUB(exp = exp)})
equation
b2 = Expression.isConst(exp);
then Util.if_(b2,DAE.BCONST(false),inExp);
case DAE.CALL(path=Absyn.IDENT("edge"), expLst={DAE.ASUB(exp = exp)})
equation
b2 = Expression.isConst(exp);
then Util.if_(b2,DAE.BCONST(false),inExp);
// move pre inside
case DAE.CALL(path=Absyn.IDENT("pre"), expLst={e})
equation
(e,_) = Expression.traverseExpTopDown(e,preCref,false);
then e;
case DAE.CALL(path=Absyn.IDENT("change"), expLst={e})
equation
(e,_) = Expression.traverseExpTopDown(e,changeCref,false);
then e;
case DAE.CALL(path=Absyn.IDENT("edge"), expLst={e})
equation
(e,_) = Expression.traverseExpTopDown(e,edgeCref,false);
then e;
// normal (pure) call
case DAE.CALL(path=Absyn.IDENT(idn),expLst=expl, attr=DAE.CALL_ATTR(isImpure=false))
equation
true = Expression.isConstWorkList(expl, true);
then simplifyBuiltinConstantCalls(idn,inExp);
// simplify some builtin calls, like cross, etc
case DAE.CALL(attr=DAE.CALL_ATTR(builtin = true))
then simplifyBuiltinCalls(inExp);
// simplify identity
case DAE.CALL(path = Absyn.IDENT(name = "identity"), expLst = {DAE.ICONST(n)})
equation
matrix = simplifyIdentity(1,n);
then DAE.ARRAY(DAE.T_ARRAY(DAE.T_INTEGER_DEFAULT,{DAE.DIM_INTEGER(n),DAE.DIM_INTEGER(n)},DAE.emptyTypeSource),false,matrix);
// arcxxx(xxx(e)) => e; xxx(arcxxx(e)) => e
case (DAE.CALL(path=Absyn.IDENT("sin"),expLst={DAE.CALL(path=Absyn.IDENT("asin"),expLst={e})}))
then e;
case (DAE.CALL(path=Absyn.IDENT("cos"),expLst={DAE.CALL(path=Absyn.IDENT("acos"),expLst={e})}))
then e;
case (DAE.CALL(path=Absyn.IDENT("tan"),expLst={DAE.CALL(path=Absyn.IDENT("atan"),expLst={e})}))
then e;
case (DAE.CALL(path=Absyn.IDENT("asin"),expLst={DAE.CALL(path=Absyn.IDENT("sin"),expLst={e})}))
then e;
case (DAE.CALL(path=Absyn.IDENT("atan"),expLst={DAE.CALL(path=Absyn.IDENT("tan"),expLst={e})}))
then e;
// atan2(y,0) = sign(y)*pi/2
case (DAE.CALL(path=Absyn.IDENT("atan2"),expLst={e1,e2}))
equation
true = Expression.isZero(e2);
e = Expression.makePureBuiltinCall("sign", {e1}, DAE.T_REAL_DEFAULT);
then DAE.BINARY(DAE.RCONST(1.570796326794896619231321691639751442),DAE.MUL(DAE.T_REAL_DEFAULT),e);
// atan2(0,x) = 0
case (DAE.CALL(path=Absyn.IDENT("atan2"),expLst={e1 as DAE.RCONST(0.0),_}))
then e1;
// abs(-x) = abs(x)
case(DAE.CALL(path=Absyn.IDENT("abs"),expLst={DAE.UNARY(operator = DAE.UMINUS(ty = tp),exp = e1)}))
equation
e = Expression.makePureBuiltinCall("abs", {e1}, tp);
then e;
// MetaModelica builtin operators are calls
case _
equation
true = Config.acceptMetaModelicaGrammar();
then simplifyMetaModelicaCalls(inExp);
else inExp;
end matchcontinue;
end simplifyCall;
protected function preCref
input DAE.Exp ie;
input Boolean ib;
output DAE.Exp oe;
output Boolean continue;
output Boolean ob;
algorithm
(oe,continue,ob) := match (ie,ib)
local
DAE.Exp e;
Boolean b;
DAE.Type ty;
case (e as DAE.CREF(ty=ty),_) then (Expression.makeBuiltinCall("pre",{e},ty,false),false,true);
case (e as DAE.CALL(path=Absyn.IDENT("pre")),b) then (e,false,b);
case (e,b) then (e,not b,b);
end match;
end preCref;
protected function changeCref
input DAE.Exp ie;
input Boolean ib;
output DAE.Exp oe;
output Boolean continue;
output Boolean ob;
algorithm
(oe,continue,ob) := match (ie,ib)
local
DAE.Exp e;
Boolean b;
DAE.Type ty;
case (e as DAE.CREF(ty=ty),_) then (Expression.makeBuiltinCall("change",{e},ty,false),false,true);
case (e as DAE.CALL(path=Absyn.IDENT("change")),b) then (e,false,b);
case (e,b) then (e,not b,b);
end match;
end changeCref;
protected function edgeCref
input DAE.Exp ie;
input Boolean ib;
output DAE.Exp oe;
output Boolean continue;
output Boolean ob;
algorithm
(oe,continue,ob) := match (ie,ib)
local
DAE.Exp e;
Boolean b;
DAE.Type ty;
case (e as DAE.CREF(ty=ty),_) then (Expression.makeBuiltinCall("edge",{e},ty,false),false,true);
case (e as DAE.CALL(path=Absyn.IDENT("edge")),b) then (e,false,b);
case (e,b) then (e,not b,b);
end match;
end edgeCref;
public function simplify1
"This function does some very basic simplification
on expressions, like 0*a = 0, [1][1] => 1, etc."
input DAE.Exp inExp;
output DAE.Exp outExp;
output Boolean hasChanged;
algorithm
(outExp,hasChanged) := simplify1WithOptions(inExp,optionSimplifyOnly);
end simplify1;
public function simplify1WithOptions
"This function does some very basic simplification
on expressions, like 0*a = 0, [1][1] => 1, etc."
input DAE.Exp inExp;
input ExpressionSimplifyTypes.Options options;
output DAE.Exp outExp;
output Boolean hasChanged;
algorithm
(outExp,hasChanged) := simplify1FixP(inExp,options,100,true,false);
checkSimplify(Flags.isSet(Flags.CHECK_SIMPLIFY),inExp,outExp);
end simplify1WithOptions;
protected function checkSimplify
"Verifies that the complexity of the expression is lower or equal than before the simplification was performed"
input Boolean check;
input DAE.Exp before;
input DAE.Exp after;
algorithm
_ := match (check,before,after)
local
Integer c1,c2;
Boolean b;
String s1,s2,s3,s4;
DAE.Type ty1,ty2;
case (false,_,_) then ();
case (true,_,_)
equation
ty1 = Expression.typeof(before);
ty2 = Expression.typeof(after);
b = valueEq(ty1,ty2);
s1 = Debug.bcallret1(not b,ExpressionDump.printExpStr,before,"");
s2 = Debug.bcallret1(not b,ExpressionDump.printExpStr,after,"");
s3 = Debug.bcallret1(not b,Types.unparseType,ty1,"");
s4 = Debug.bcallret1(not b,Types.unparseType,ty2,"");
Error.assertionOrAddSourceMessage(b, Error.SIMPLIFICATION_TYPE, {s1,s2,s3,s4}, Absyn.dummyInfo);
c1 = Expression.complexity(before);
c2 = Expression.complexity(after);
b = c1 < c2;
s1 = intString(c2);
s2 = intString(c1);
s3 = Debug.bcallret1(b,ExpressionDump.printExpStr,before,"");
s4 = Debug.bcallret1(b,ExpressionDump.printExpStr,after,"");
Error.assertionOrAddSourceMessage(not b, Error.SIMPLIFICATION_COMPLEXITY, {s1,s2,s3,s4}, Absyn.dummyInfo);
then ();
end match;
end checkSimplify;
protected function simplify1FixP
"Does fixpoint simplify1 max n times"
input DAE.Exp inExp;
input ExpressionSimplifyTypes.Options inOptions;
input Integer n;
input Boolean cont;
input Boolean hasChanged;
output DAE.Exp outExp;
output Boolean outHasChanged;
algorithm
(outExp,outHasChanged) := match (inExp,inOptions,n,cont,hasChanged)
local
DAE.Exp exp,expAfterSimplify;
Boolean b;
String str1,str2;
ExpressionSimplifyTypes.Options options;
case (exp,_,_,false,_)
equation
// print("End fixp: " +& ExpressionDump.printExpStr(exp) +& "\n");
then (exp,hasChanged);
case (exp,options,0,_,_)
equation
str1 = ExpressionDump.printExpStr(exp);
(exp,_) = Expression.traverseExp(exp,simplifyWork,options);
str2 = ExpressionDump.printExpStr(exp);
Error.addMessage(Error.SIMPLIFY_FIXPOINT_MAXIMUM, {str1,str2});
then (exp,hasChanged);
case (exp,options,_,true,_)
equation
// print("simplify1 start: " +& ExpressionDump.printExpStr(exp) +& "\n");
ErrorExt.setCheckpoint("ExpressionSimplify");
(expAfterSimplify,options) = Expression.traverseExp(exp,simplifyWork,options);
b = not referenceEq(expAfterSimplify, exp);
Debug.bcall1(b,ErrorExt.rollBack,"ExpressionSimplify");
Debug.bcall1(not b,ErrorExt.delCheckpoint,"ExpressionSimplify");
// print("simplify1 iter: " +& ExpressionDump.printExpStr(expAfterSimplify) +& "\n");
(expAfterSimplify,b) = simplify1FixP(expAfterSimplify,options,n-1,b,b or hasChanged);
then (expAfterSimplify,b);
end match;
end simplify1FixP;
protected function simplifyReductionIterators
input list<DAE.ReductionIterator> inIters;
input list<DAE.ReductionIterator> inAcc;
input Boolean inChange;
output list<DAE.ReductionIterator> outIters;
output Boolean outChange;
algorithm
(outIters,outChange) := match (inIters,inAcc,inChange)
local
String id;
DAE.Exp exp;
DAE.Type ty;
DAE.ReductionIterator iter;
list<DAE.ReductionIterator> iters,acc;
Boolean change;
case ({},acc,change) then (listReverse(acc),change);
case (DAE.REDUCTIONITER(id,exp,SOME(DAE.BCONST(true)),ty)::iters,acc,_)
equation
(iters,change) = simplifyReductionIterators(iters,DAE.REDUCTIONITER(id,exp,NONE(),ty)::acc,true);
then (iters,change);
case (DAE.REDUCTIONITER(id,_,SOME(DAE.BCONST(false)),ty)::_,_,_)
then ({DAE.REDUCTIONITER(id,DAE.LIST({}),NONE(),ty)},true);
case (iter::iters,acc,change)
equation
(iters,change) = simplifyReductionIterators(iters,iter::acc,change);
then (iters,change);
end match;
end simplifyReductionIterators;
protected function simplifyIfExp
"Handles simplification of if-expressions"
input DAE.Exp origExp;
input DAE.Exp cond;
input DAE.Exp tb;
input DAE.Exp fb;
output DAE.Exp exp;
algorithm
exp := match (origExp,cond,tb,fb)
local
DAE.Exp e,e1,e2;
// Condition is constant
case (_,DAE.BCONST(true),_,_) then tb;
case (_,DAE.BCONST(false),_,_) then fb;
// The expression is the condition
case (_,exp,DAE.BCONST(true),DAE.BCONST(false)) then exp;
case (_,exp,DAE.BCONST(false),DAE.BCONST(true))
equation
exp = DAE.LUNARY(DAE.NOT(DAE.T_BOOL_DEFAULT), exp);
then exp;
case (_,e,DAE.BOX(e1),DAE.BOX(e2))
equation
e = DAE.IFEXP(e,e1,e2);
then DAE.BOX(e);
else // Are the branches equal? Then why bother with the condition
Util.if_(Expression.expEqual(tb,fb),tb,origExp);
end match;
end simplifyIfExp;
protected function simplifyMetaModelicaCalls "simplifies MetaModelica operators"
input DAE.Exp exp;
output DAE.Exp outExp;
algorithm
outExp := match exp
local
DAE.Exp e,e1,e2,e1_1,e2_1;
Boolean b,b1,b2;
Absyn.Path path;
list<DAE.Exp> el;
Integer i;
Real r;
String s;
Option<DAE.Exp> foldExp;
Option<Values.Value> v;
DAE.Type ty;
DAE.ReductionIterators riters;
String foldName,resultName;
Absyn.ReductionIterType rit;
case DAE.CALL(path=Absyn.IDENT("listAppend"),expLst={DAE.LIST(el),e2})
equation
e = List.fold(listReverse(el), Expression.makeCons, e2);
then e;
case DAE.CALL(path=Absyn.IDENT("listAppend"),expLst={e1,DAE.LIST(valList={})})
then e1;
case DAE.CALL(path=Absyn.IDENT("intString"),expLst={DAE.ICONST(i)})
equation
s = intString(i);
then DAE.SCONST(s);
case DAE.CALL(path=Absyn.IDENT("realString"),expLst={DAE.RCONST(r)})
equation
s = realString(r);
then DAE.SCONST(s);
case DAE.CALL(path=Absyn.IDENT("boolString"),expLst={DAE.BCONST(b)})
equation
s = boolString(b);
then DAE.SCONST(s);
case DAE.CALL(path=Absyn.IDENT("listReverse"),expLst={DAE.LIST(el)})
equation
el = listReverse(el);
e1_1 = DAE.LIST(el);
then e1_1;
case DAE.CALL(path=Absyn.IDENT("listReverse"),expLst={DAE.REDUCTION(DAE.REDUCTIONINFO(Absyn.IDENT("list"),rit,ty,v,foldName,resultName,foldExp),e1,riters)})
equation
e1 = DAE.REDUCTION(DAE.REDUCTIONINFO(Absyn.IDENT("listReverse"),rit,ty,v,foldName,resultName,foldExp),e1,riters);
then e1;
case DAE.CALL(path=Absyn.IDENT("listReverse"),expLst={DAE.REDUCTION(DAE.REDUCTIONINFO(Absyn.IDENT("listReverse"),rit,ty,v,foldName,resultName,foldExp),e1,riters)})
equation
e1 = DAE.REDUCTION(DAE.REDUCTIONINFO(Absyn.IDENT("list"),rit,ty,v,foldName,resultName,foldExp),e1,riters);
then e1;
case DAE.CALL(path=Absyn.IDENT("listLength"),expLst={DAE.LIST(el)})
equation
i = listLength(el);
then DAE.ICONST(i);
end match;
end simplifyMetaModelicaCalls;
protected function simplifyCons
input DAE.Exp inExp;
output DAE.Exp outExp;
algorithm
outExp := match inExp
local
DAE.Exp e;
list<DAE.Exp> es;
case DAE.CONS(e,DAE.LIST(es)) then DAE.LIST(e::es);
else inExp;
end match;
end simplifyCons;
protected function simplifyUnbox "simplifies both box and unbox expressions"
input DAE.Exp exp;
output DAE.Exp outExp;
algorithm
outExp := match exp
case DAE.UNBOX(exp=DAE.BOX(outExp)) then outExp;
case DAE.BOX(DAE.UNBOX(exp=outExp)) then outExp;
else exp;
end match;
end simplifyUnbox;
protected function simplifyMatch "simplifies MetaModelica match expressions"
input DAE.Exp exp;
output DAE.Exp outExp;
algorithm
outExp := matchcontinue exp
local
DAE.Exp e,e1,e2,e1_1,e2_1;
Boolean b,b1,b2;
Absyn.Path path;
list<DAE.Exp> el;
Integer i;
Real r;
String s;
Option<DAE.Exp> foldExp;
Option<Values.Value> v;
DAE.Type ty;
DAE.ReductionIterators riters;
// match () case () then exp; end match => exp
case DAE.MATCHEXPRESSION(inputs={}, et=ty, localDecls={}, cases={
DAE.CASE(patterns={},localDecls={},body={},result=SOME(e))
})
equation
false = Types.isTuple(ty);
then e;
case DAE.MATCHEXPRESSION(inputs={e}, et=ty, localDecls={}, cases={
DAE.CASE(patterns={DAE.PAT_CONSTANT(exp=DAE.BCONST(b1))},localDecls={},body={},result=SOME(e1)),
DAE.CASE(patterns={DAE.PAT_CONSTANT(exp=DAE.BCONST(b2))},localDecls={},body={},result=SOME(e2))
})
equation
false = boolEq(b1,b2);
false = Types.isTuple(ty);
e1_1 = Util.if_(b1,e1,e2);
e2_1 = Util.if_(b1,e2,e1);
e = DAE.IFEXP(e, e1_1, e2_1);
then e;
case DAE.MATCHEXPRESSION(matchType=DAE.MATCH(switch=_), et=ty, inputs={e}, localDecls={}, cases={
DAE.CASE(patterns={DAE.PAT_CONSTANT(exp=DAE.BCONST(b1))},localDecls={},body={},result=SOME(e1)),
DAE.CASE(patterns={DAE.PAT_WILD()},localDecls={},body={},result=SOME(e2))
})
equation
false = Types.isTuple(ty);
e1_1 = Util.if_(b1,e1,e2);
e2_1 = Util.if_(b1,e2,e1);
e = DAE.IFEXP(e, e1_1, e2_1);
then e;
else exp;
end matchcontinue;
end simplifyMatch;
protected function simplifyCast "help function to simplify1"
input DAE.Exp origExp;
input DAE.Exp exp;
input Type tp;
output DAE.Exp outExp;
algorithm
outExp := matchcontinue(origExp,exp,tp)
local
Real r;
Integer i,n;
Boolean b;
list<DAE.Exp> exps,exps_1;
Type t,tp_1,tp1,tp2,t1,t2;
DAE.Exp e1,e2,cond,e1_1,e2_1,e;
list<list<DAE.Exp>> mexps,mexps_1;
Option<DAE.Exp> eo;
DAE.Dimensions dims;
Absyn.Path p1,p2,p3;
list<String> fieldNames;
// Real -> Real
case(_,DAE.RCONST(r),DAE.T_REAL(varLst = _)) then DAE.RCONST(r);
// Int -> Real
case(_,DAE.ICONST(i),DAE.T_REAL(varLst = _))
equation
r = intReal(i);
then
DAE.RCONST(r);
// cast of unary
case(_,DAE.UNARY(DAE.UMINUS_ARR(_),e),_)
equation
e = addCast(e,tp);
then
DAE.UNARY(DAE.UMINUS_ARR(tp),e);
// cast of unary
case(_,DAE.UNARY(DAE.UMINUS(_),e),_)
equation
e = addCast(e,tp);
then
DAE.UNARY(DAE.UMINUS(tp),e);
// cast of array
case(_,DAE.ARRAY(_,b,exps),_)
equation
tp_1 = Expression.unliftArray(tp);
exps_1 = List.map1(exps, addCast, tp_1);
then
DAE.ARRAY(tp,b,exps_1);
// cast of array
case (_,DAE.RANGE(ty=DAE.T_INTEGER(source=_),start=e1,step=eo,stop=e2),DAE.T_ARRAY(ty=tp2 as DAE.T_REAL(source=_)))
equation
e1 = addCast(e1,tp2);
e2 = addCast(e2,tp2);
eo = Util.applyOption1(eo, addCast, tp2);
then
DAE.RANGE(tp2,e1,eo,e2);
// simplify cast in an if expression
case (_,DAE.IFEXP(cond,e1,e2),_)
equation
e1_1 = DAE.CAST(tp,e1);
e2_1 = DAE.CAST(tp,e2);
then DAE.IFEXP(cond,e1_1,e2_1);
// simplify cast of matrix expressions
case (_,DAE.MATRIX(_,n,mexps),_)
equation
tp1 = Expression.unliftArray(tp);
tp2 = Expression.unliftArray(tp1);
mexps_1 = List.map1List(mexps, addCast, tp2);
then DAE.MATRIX(tp,n,mexps_1);
// simplify record constructor from one to another
case (_,DAE.CALL(p1,exps,attr=DAE.CALL_ATTR(ty=DAE.T_COMPLEX(complexClassType=ClassInf.RECORD(p2)))),DAE.T_COMPLEX(complexClassType=ClassInf.RECORD(p3)))
equation
true = Absyn.pathEqual(p1,p2) "It is a record constructor since it has the same path called as its output type";
then DAE.CALL(p3,exps,DAE.CALL_ATTR(tp,false,false,false,false,DAE.NO_INLINE(),DAE.NO_TAIL()));
case (_,DAE.RECORD(_,exps,fieldNames,_),DAE.T_COMPLEX(complexClassType=ClassInf.RECORD(p3)))
then DAE.RECORD(p3,exps,fieldNames,tp);
// fill(e, ...) can be simplified
case(_,DAE.CALL(path=Absyn.IDENT("fill"),expLst=e::exps),_)
equation
tp_1 = List.fold(exps,Expression.unliftArrayIgnoreFirst,tp);
e = DAE.CAST(tp_1,e);
e = Expression.makePureBuiltinCall("fill",e::exps,tp);
then e;
// cat(e, ...) can be simplified
case(_,DAE.CALL(path=Absyn.IDENT("cat"),expLst=(e as DAE.ICONST(n))::exps),DAE.T_ARRAY(dims=dims))
equation
DAE.DIM_UNKNOWN() = listGet(dims,n);
exps = List.map1(exps,addCast,tp);
then Expression.makePureBuiltinCall("cat",e::exps,tp);
// expression already has a specified cast type.
case(_,e,_)
equation
t1 = Expression.arrayEltType(tp);
t2 = Expression.arrayEltType(Expression.typeof(e));
true = valueEq(t1, t2);
then e;
else origExp;
end matchcontinue;
end simplifyCast;
protected function addCast
"Adds a cast of a Type to an expression."
input DAE.Exp inExp;
input Type inType;
output DAE.Exp outExp;
annotation(__OpenModelica_EarlyInline = true);
algorithm
outExp:=DAE.CAST(inType,inExp);
end addCast;
protected function simplifyBuiltinCalls "simplifies some builtin calls (with no constant expressions)"
input DAE.Exp exp;
output DAE.Exp outExp;
algorithm
outExp := matchcontinue (exp)
local
list<list<DAE.Exp>> mexpl;
list<DAE.Exp> es,expl;
DAE.Exp e,len_exp,just_exp,e1,e2,e3,e4;
DAE.Type tp,tp1,tp2;
DAE.Operator op;
list<DAE.Exp> v1, v2;
Boolean scalar,sc;
list<Values.Value> valueLst;
Integer i,i1,i2,dim;
Real r1;
array<array<DAE.Exp>> marr;
String name;
DAE.TypeSource source;
// If the argument to min/max is an array, try to flatten it.
case (DAE.CALL(path=Absyn.IDENT(name),expLst={e as DAE.ARRAY(array=_)},
attr=DAE.CALL_ATTR(ty=tp)))
equation
true = stringEq(name, "max") or stringEq(name, "min");
expl = Expression.flattenArrayExpToList(e);
e1 = Expression.makeScalarArray(expl, tp);
false = Expression.expEqual(e, e1);
then
Expression.makePureBuiltinCall(name, {e1}, tp);
// min/max function on arrays of only 1 element
case (DAE.CALL(path=Absyn.IDENT("min"),expLst={DAE.ARRAY(array={e})})) then e;
case (DAE.CALL(path=Absyn.IDENT("max"),expLst={DAE.ARRAY(array={e})})) then e;
// Try to unify the expressions :)
case (DAE.CALL(path=Absyn.IDENT("min"),expLst={DAE.ARRAY(array=es)},attr=DAE.CALL_ATTR(ty=tp)))
equation
i1 = listLength(es);
es = List.union(es,es);
i2 = listLength(es);
false = i1 == i2;
e = Expression.makeScalarArray(es,tp);
then Expression.makePureBuiltinCall("min",{e},tp);
case (DAE.CALL(path=Absyn.IDENT("max"),expLst={DAE.ARRAY(array=es)},attr=DAE.CALL_ATTR(ty=tp)))
equation
i1 = listLength(es);
es = List.union(es,es);
i2 = listLength(es);
false = i1 == i2;
e = Expression.makeScalarArray(es,tp);
then Expression.makePureBuiltinCall("max",{e},tp);
case (DAE.CALL(path=Absyn.IDENT("max"),expLst={DAE.ARRAY(array=es)},attr=DAE.CALL_ATTR(ty=tp)))
equation
i1 = listLength(es);
SOME(e) = List.fold(es, maxElement, NONE());
es = List.select(es, removeMinMaxFoldableValues);
es = e::es;
i2 = listLength(es);
true = i2 < i1;
e = Expression.makeScalarArray(es,tp);
then Expression.makePureBuiltinCall("max",{e},tp);
case (DAE.CALL(path=Absyn.IDENT("min"),expLst={DAE.ARRAY(array=es)},attr=DAE.CALL_ATTR(ty=tp)))
equation
i1 = listLength(es);
SOME(e) = List.fold(es, minElement, NONE());
es = List.select(es, removeMinMaxFoldableValues);
es = e::es;
i2 = listLength(es);
true = i2 < i1;
e = Expression.makeScalarArray(es,tp);
then Expression.makePureBuiltinCall("min",{e},tp);
case (DAE.CALL(path=Absyn.IDENT("min"),attr=DAE.CALL_ATTR(ty=tp),expLst={DAE.ARRAY(array={e1,e2})}))
equation
e = Expression.makePureBuiltinCall("min",{e1,e2},tp);
then e;
case (DAE.CALL(path=Absyn.IDENT("max"),attr=DAE.CALL_ATTR(ty=tp),expLst={DAE.ARRAY(array={e1,e2})}))
equation
e = Expression.makePureBuiltinCall("max",{e1,e2},tp);
then e;
case (DAE.CALL(path=Absyn.IDENT("min"),attr=DAE.CALL_ATTR(ty=DAE.T_BOOL(varLst = _)),expLst={e1,e2}))
equation
e = DAE.LBINARY(e1,DAE.AND(DAE.T_BOOL_DEFAULT),e2);
then e;
case (DAE.CALL(path=Absyn.IDENT("max"),attr=DAE.CALL_ATTR(ty=DAE.T_BOOL(varLst = _)),expLst={e1,e2}))
equation
e = DAE.LBINARY(e1,DAE.OR(DAE.T_BOOL_DEFAULT),e2);
then e;
case (DAE.CALL(path=Absyn.IDENT("min"),attr=DAE.CALL_ATTR(ty=DAE.T_BOOL(varLst = _)),expLst={DAE.ARRAY(array=expl)}))
equation
e = Expression.makeLBinary(expl,DAE.AND(DAE.T_BOOL_DEFAULT));
then e;
case (DAE.CALL(path=Absyn.IDENT("max"),attr=DAE.CALL_ATTR(ty=DAE.T_BOOL(varLst = _)),expLst={DAE.ARRAY(array=expl)}))
equation
e = Expression.makeLBinary(expl,DAE.OR(DAE.T_BOOL_DEFAULT));
then e;
case DAE.CALL(path=Absyn.IDENT(name), expLst = {DAE.ARRAY(array = expl as _ :: _ :: _)},
attr = DAE.CALL_ATTR(ty = tp))