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ExpressionSimplify.mo
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ExpressionSimplify.mo
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/*
* This file is part of OpenModelica.
*
* Copyright (c) 1998-CurrentYear, Linköping University,
* Department of Computer and Information Science,
* SE-58183 Linköping, Sweden.
*
* All rights reserved.
*
* THIS PROGRAM IS PROVIDED UNDER THE TERMS OF GPL VERSION 3
* AND THIS OSMC PUBLIC LICENSE (OSMC-PL).
* ANY USE, REPRODUCTION OR DISTRIBUTION OF THIS PROGRAM CONSTITUTES RECIPIENT'S
* ACCEPTANCE OF THE OSMC PUBLIC LICENSE.
*
* The OpenModelica software and the Open Source Modelica
* Consortium (OSMC) Public License (OSMC-PL) are obtained
* from Linköping University, either from the above address,
* from the URLs: http://www.ida.liu.se/projects/OpenModelica or
* http://www.openmodelica.org, and in the OpenModelica distribution.
* GNU version 3 is obtained from: http://www.gnu.org/copyleft/gpl.html.
*
* This program is distributed WITHOUT ANY WARRANTY; without
* even the implied warranty of MERCHANTABILITY or FITNESS
* FOR A PARTICULAR PURPOSE, EXCEPT AS EXPRESSLY SET FORTH
* IN THE BY RECIPIENT SELECTED SUBSIDIARY LICENSE CONDITIONS
* OF OSMC-PL.
*
* See the full OSMC Public License conditions for more details.
*
*/
encapsulated package 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 DAE;
public import Error;
public type ComponentRef = DAE.ComponentRef;
public type Ident = String;
public type Operator = DAE.Operator;
public type Type = DAE.ExpType;
public type Subscript = DAE.Subscript;
// protected imports
protected import ComponentReference;
protected import DAEUtil;
protected import Debug;
protected import Env;
protected import Expression;
protected import ExpressionDump;
protected import Prefix;
protected import RTOpts;
protected import Static;
protected import Types;
protected import Util;
protected import Values;
protected import ValuesUtil;
public uniontype IntOp
record MULOP end MULOP;
record DIVOP end DIVOP;
record ADDOP end ADDOP;
record SUBOP end SUBOP;
record POWOP end POWOP;
end IntOp;
public function simplify "function simplify
Simplifies expressions"
input DAE.Exp inExp;
output DAE.Exp outExp;
algorithm
outExp := matchcontinue(inExp)
local DAE.Exp e, eNew;
case (e)
equation
true = RTOpts.getNoSimplify();
eNew = simplify1(e);
then eNew;
case (e)
equation
// Debug.fprintln("simplify","SIMPLIFY BEFORE->" +& printExpStr(e));
eNew = simplify1(e); // Basic local simplifications
// Debug.fprintln("simplify","SIMPLIFY INTERMEDIATE->" +& printExpStr(eNew));
eNew = simplify2(eNew); // Advanced (global) simplifications
// Debug.fprintln("simplify","SIMPLIFY FINAL->" +& printExpStr(eNew));
then eNew;
end matchcontinue;
end simplify;
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 simplify1
"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;
algorithm
outExp := matchcontinue (inExp)
local
Integer n,i;
DAE.Exp e,res,exp,e1_1,exp_1,e1,e_1,e2,e2_1,e3_1,e3,sub,exp1;
Type t,tp;
Boolean b,b1,remove_if,tpl,builtin,b2;
Ident idn;
list<DAE.Exp> exps,exps_1,expl,matrix;
list<Subscript> s;
ComponentRef c_1;
Operator op;
DAE.InlineType inlineType,b3;
Absyn.Path fn, path;
list<list<tuple<DAE.Exp, Boolean>>> matr,matr2;
Integer index_;
Option<tuple<DAE.Exp,Integer,Integer>> isExpisASUB;
Option<DAE.Exp> oe1,foldExp;
Option<Values.Value> v;
DAE.ReductionInfo reductionInfo;
DAE.ReductionIterators riters;
// noEvent propagated to relations and event triggering functions
case(DAE.CALL(Absyn.IDENT("noEvent"),{e},tpl,builtin,tp,inlineType))
equation
e1 = simplify1(Expression.stripNoEvent(e));
e2 = Expression.addNoEventToRelations(e1);
e3 = Expression.addNoEventToEventTriggeringFunctions(e2);
then
e3;
// normal call
case(DAE.CALL(fn,expl,tpl,builtin,tp,inlineType))
equation
true = Util.listFold(Util.listMap(expl,Expression.isConst),boolAnd,true);
expl = Util.listMap(expl,simplify1);
e2 = simplifyBuiltinConstantCalls(DAE.CALL(fn,expl,tpl,builtin,tp,inlineType));
then
e2;
// simplify some builtin calls, like cross, etc
case(DAE.CALL(fn,expl,tpl,builtin as true,tp,inlineType))
equation
e2 = simplifyBuiltinCalls(DAE.CALL(fn,expl,tpl,builtin,tp,inlineType));
then
e2;
/* simplify different casts. Optimized to only run simplify1 once on subexpression e*/
case(DAE.CAST(ty = tp,exp=e)) equation
e = simplifyCast(simplify1(e),tp);
then e;
// simplify identity
case DAE.CALL( (path as Absyn.IDENT(name = "identity")), {DAE.ICONST(n)}, b,b2, t,b3)
equation
matrix = simplifyIdentity(1,n);
e = DAE.ARRAY(
DAE.ET_ARRAY(
DAE.ET_ARRAY(DAE.ET_INT(),{DAE.DIM_INTEGER(3)}),
{DAE.DIM_INTEGER(n),DAE.DIM_INTEGER(n)}
),
false,matrix);
then
e;
// MetaModelica builtin operators are calls, which means this has to be done
// before the generic CALL case
case e
equation
true = RTOpts.acceptMetaModelicaGrammar();
then simplifyMetaModelica(e);
// simplify argument expression of functions
case DAE.CALL( path, exps_1, b,b2, t,b3)
equation
exps_1 = Util.listMap(exps_1,simplify1);
then
DAE.CALL(path,exps_1,b,b2,t,b3);
// simplify arrays
case DAE.ARRAY( t, b,exps_1)
equation
exps_1 = Util.listMap(exps_1,simplify1);
then
DAE.ARRAY( t, b,exps_1);
// simplify matrix
case DAE.MATRIX( t, i, matr)
equation
matr2 = Util.listMap(matr,simplifyMatrixRows);
then
DAE.MATRIX( t, i, matr2);
// simplify partially evaluated functions
case DAE.PARTEVALFUNCTION(path, exps_1, t)
equation
exps_1 = Util.listMap(exps_1,simplify1);
then
DAE.PARTEVALFUNCTION(path,exps_1,t);
/* subscripting/simplify of asubs, optimized so subexpression only simplified once */
case(DAE.ASUB(exp=e, sub = sub::{}))
equation
exp = simplifyAsub0(simplify1(e),Expression.expInt(sub));
then
exp;
// other subscripting/asub simplifications where e is not simplified first.
case DAE.ASUB(exp = e,sub = sub::{})
equation
_ = Expression.expInt(sub);
e = simplifyAsub(e, sub) "For arbitrary vector operations, e.g (a+b-c)[1] => a[1]+b[1]-c[1]" ;
then
e;
// all other asubs
case DAE.ASUB(exp = e,sub = exps)
equation
e1 = simplify1(e);
then
DAE.ASUB(e1,exps);
// unary operations
case ((exp as DAE.UNARY(operator = op,exp = e1)))
equation
e1_1 = simplify1(e1);
exp_1 = DAE.UNARY(op,e1_1);
e = simplifyUnary(exp_1, op, e1_1);
then
e;
// binary operations on arrays
case ((exp as DAE.BINARY(exp1 = e1,operator = op,exp2 = e2)))
equation
e_1 = simplifyBinaryArray(e1, op, e2);
then
e_1;
// binary scalar simplifications
case ((exp as DAE.BINARY(exp1 = e1,operator = op,exp2 = e2)))
equation
e1_1 = simplify1(e1);
e2_1 = simplify1(e2);
exp_1 = DAE.BINARY(e1_1,op,e2_1);
e_1 = simplifyBinary(exp_1, op, e1_1, e2_1);
then
e_1;
// relations
case ((exp as DAE.RELATION(exp1 = e1,operator = op,exp2 = e2, index=index_, optionExpisASUB= isExpisASUB)))
equation
e1_1 = simplify1(e1);
e2_1 = simplify1(e2);
exp_1 = DAE.RELATION(e1_1,op,e2_1,index_,isExpisASUB);
e = simplifyBinary(exp_1, op, e1_1, e2_1);
then
e;
// logical unary expressions
case ((exp as DAE.LUNARY(operator = op,exp = e1)))
equation
e1_1 = simplify1(e1);
exp_1 = DAE.LUNARY(op,e1_1);
e = simplifyUnary(exp_1, op, e1_1);
then
e;
// logical binary expressions
case ((exp as DAE.LBINARY(exp1 = e1,operator = op,exp2 = e2)))
equation
e1_1 = simplify1(e1);
e2_1 = simplify1(e2);
exp_1 = DAE.LBINARY(e1_1,op,e2_1);
e = simplifyBinary(exp_1, op, e1_1, e2_1);
then
e;
// if true and false branches are equal
case (DAE.IFEXP(expCond = e1,expThen = e2,expElse = e3))
equation
e1_1 = simplify1(e1);
e2_1 = simplify1(e2);
e3_1 = simplify1(e3);
then simplifyIfExp(e1_1,e2_1,e3_1);
// component references
case DAE.CREF(componentRef = c_1 as DAE.CREF_IDENT(idn,_,s),ty=t)
equation
exp1 = simplifyCref(c_1,t);
then
exp1;
case DAE.REDUCTION(reductionInfo,e1,riters)
equation
e1 = simplify1(e1);
riters = Util.listMap(riters, simplifyReductionIterator);
exp1 = DAE.REDUCTION(reductionInfo,e1,riters);
then simplifyReduction(exp1);
// anything else
case e
then
e;
end matchcontinue;
end simplify1;
protected function simplifyReductionIterator
input DAE.ReductionIterator iter;
output DAE.ReductionIterator outIter;
algorithm
outIter := match iter
local
Boolean b;
String id;
DAE.Exp exp,gexp;
DAE.Type ty;
Option<DAE.Exp> ogexp;
case DAE.REDUCTIONITER(id,exp,NONE(),ty)
equation
exp = simplify1(exp);
then DAE.REDUCTIONITER(id,exp,NONE(),ty);
case DAE.REDUCTIONITER(id,exp,SOME(gexp),ty)
equation
exp = simplify1(exp);
gexp = simplify1(gexp);
b = Expression.isConstTrue(gexp);
ogexp = Util.if_(b,NONE(),SOME(gexp));
then DAE.REDUCTIONITER(id,exp,ogexp,ty);
end match;
end simplifyReductionIterator;
protected function simplifyIfExp
"Handles simplification of if-expressions"
input DAE.Exp cond;
input DAE.Exp tb;
input DAE.Exp fb;
output DAE.Exp exp;
algorithm
exp := match (cond,tb,fb)
local
Boolean remove_if;
// Condition is constant
case (DAE.BCONST(true),tb,fb) then tb;
case (DAE.BCONST(false),tb,fb) 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(), exp);
then simplify1(exp);
// Are the branches equal?
case (cond,tb,fb)
equation
remove_if = Expression.expEqual(tb,fb);
exp = Util.if_(remove_if, tb, DAE.IFEXP(cond,tb,fb));
then exp;
end match;
end simplifyIfExp;
protected function simplifyMetaModelica "simplifies MetaModelica 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;
DAE.ExpType tp;
Absyn.Path path;
list<DAE.Exp> el;
Integer i;
Real r;
String s,idn;
Option<DAE.Exp> oe1,foldExp;
Option<Values.Value> v;
DAE.Type ty;
DAE.ReductionIterators riters;
case DAE.MATCHEXPRESSION(inputs={e}, 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);
e1_1 = Util.if_(b1,e1,e2);
e2_1 = Util.if_(b1,e2,e1);
e = DAE.IFEXP(e, e1_1, e2_1);
then simplify(e);
case DAE.MATCHEXPRESSION(matchType=DAE.MATCH(switch=_), 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
e1_1 = Util.if_(b1,e1,e2);
e2_1 = Util.if_(b1,e2,e1);
e = DAE.IFEXP(e, e1_1, e2_1);
then simplify(e);
case DAE.CALL(path=Absyn.IDENT("listAppend"),expLst={e1,e2})
equation
DAE.LIST(el) = simplify(e1);
el = listReverse(el);
e2_1 = simplify(e2);
e = Util.listFold(el, Expression.makeCons, e2_1);
then simplify(e);
case DAE.CALL(path=Absyn.IDENT("listAppend"),expLst={e1,e2},ty=tp)
equation
DAE.LIST(valList={}) = simplify(e2);
then simplify(e1);
case DAE.CALL(path=path as Absyn.IDENT("intString"),expLst={e1},ty=tp)
equation
DAE.ICONST(i) = simplify(e1);
s = intString(i);
then DAE.SCONST(s);
case DAE.CALL(path=path as Absyn.IDENT("realString"),expLst={e1},ty=tp)
equation
DAE.RCONST(r) = simplify(e1);
s = realString(r);
then DAE.SCONST(s);
case DAE.CALL(path=path as Absyn.IDENT("boolString"),expLst={e1},ty=tp)
equation
DAE.BCONST(b) = simplify(e1);
s = boolString(b);
then DAE.SCONST(s);
case DAE.CALL(path=path as Absyn.IDENT("listReverse"),expLst={e1},ty=tp)
equation
DAE.LIST(el) = simplify(e1);
el = Util.listMap(el,simplify);
el = listReverse(el);
e1_1 = DAE.LIST(el);
then e1_1;
case DAE.CALL(path=path as Absyn.IDENT("listReverse"),expLst={DAE.REDUCTION(DAE.REDUCTIONINFO(Absyn.IDENT("list"),ty,v,foldExp),e1,riters)},ty=tp)
equation
e1 = DAE.REDUCTION(DAE.REDUCTIONINFO(Absyn.IDENT("listReverse"),ty,v,foldExp),e1,riters);
then simplify(e1);
case DAE.CALL(path=path as Absyn.IDENT("listReverse"),expLst={DAE.REDUCTION(DAE.REDUCTIONINFO(Absyn.IDENT("listReverse"),ty,v,foldExp),e1,riters)},ty=tp)
equation
e1 = DAE.REDUCTION(DAE.REDUCTIONINFO(Absyn.IDENT("list"),ty,v,foldExp),e1,riters);
then simplify(e1);
case DAE.CALL(path=path as Absyn.IDENT("listLength"),expLst={e1},ty=tp)
equation
DAE.LIST(el) = simplify(e1);
i = listLength(el);
then DAE.ICONST(i);
case DAE.LIST(el)
equation
el = Util.listMap(el,simplify);
then DAE.LIST(el);
case DAE.CONS(e1,e2)
equation
DAE.LIST(el) = simplify(e2);
e1_1 = simplify(e1);
then DAE.LIST(e1_1::el);
case DAE.CONS(e1,e2)
equation
e1_1 = simplify(e1);
e2_1 = simplify(e2);
then DAE.CONS(e1_1,e2_1);
case DAE.META_OPTION(oe1)
equation
oe1 = Util.applyOption(oe1, simplify);
then DAE.META_OPTION(oe1);
case DAE.UNBOX(exp=e1)
equation
DAE.BOX(e1_1) = simplify(e1);
then e1_1;
case DAE.UNBOX(exp=DAE.BOX(e1)) then e1;
case DAE.BOX(DAE.UNBOX(exp=e1)) then e1;
case DAE.IFEXP(e,DAE.BOX(e1),DAE.BOX(e2))
equation
e = simplify(DAE.IFEXP(e,e1,e2));
then DAE.BOX(e);
end matchcontinue;
end simplifyMetaModelica;
protected function simplifyCast "help function to simplify1"
input DAE.Exp exp;
input Type tp;
output DAE.Exp outExp;
algorithm
outExp := matchcontinue(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 res,e1,e2,cond,e1_1,e2_1,e;
list<list<tuple<DAE.Exp, Boolean>>> mexps,mexps_1;
// Real -> Real
case(DAE.RCONST(r),DAE.ET_REAL()) then DAE.RCONST(r);
// Int -> Real
case(DAE.ICONST(i),DAE.ET_REAL())
equation
r = intReal(i);
then
DAE.RCONST(r);
// cast of array
case(DAE.ARRAY(t,b,exps),tp)
equation
tp_1 = Expression.unliftArray(tp);
exps_1 = Util.listMap1(exps, addCast, tp_1);
exps_1 = Util.listMap(exps_1,simplify1);
res = DAE.ARRAY(tp,b,exps_1);
then
res;
// simplify cast in an if expression
case(DAE.IFEXP(cond,e1,e2),tp)
equation
e1_1 = simplify1(DAE.CAST(tp,e1));
e2_1 = simplify1(DAE.CAST(tp,e2));
then
DAE.IFEXP(cond,e1_1,e2_1);
// simplify cast of matrix expressions
case(DAE.MATRIX(t,n,mexps),tp)
equation
tp1 = Expression.unliftArray(tp);
tp2 = Expression.unliftArray(tp1);
mexps_1 = matrixExpMap1(mexps, addCast, tp2);
res = simplify1(DAE.MATRIX(tp,n,mexps_1));
then
res;
// expression already has a specified cast type.
case(e,tp)
equation
t1 = Expression.arrayEltType(tp);
t2 = Expression.arrayEltType(Expression.typeof(e));
equality(t1 = t2);
then
e;
end matchcontinue;
end simplifyCast;
protected function addCast
"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 "NOTE: assumes call arguments NOT YET SIMPLIFIED (for efficiency reasons)";
output DAE.Exp outExp;
algorithm
outExp := match(exp)
local
list<DAE.Exp> expl;
DAE.Exp e,len_exp,just_exp,e1,e2;
DAE.ExpType tp;
list<DAE.Exp> v1, v2;
Boolean scalar;
list<Values.Value> valueLst;
Integer i;
String str;
// min/max function on arrays of only 1 element
case (DAE.CALL(path=Absyn.IDENT("min"),expLst={DAE.ARRAY(array={e})})) then simplify1(e);
case (DAE.CALL(path=Absyn.IDENT("max"),expLst={DAE.ARRAY(array={e})})) then simplify1(e);
case (DAE.CALL(path=Absyn.IDENT("min"),ty=DAE.ET_ARRAY(tp,{_}),expLst={DAE.ARRAY(array={e1,e2})}))
equation
e = Expression.makeBuiltinCall("min",{e1,e2},tp);
then simplify1(e);
case (DAE.CALL(path=Absyn.IDENT("max"),ty=DAE.ET_ARRAY(tp,{_}),expLst={DAE.ARRAY(array={e1,e2})}))
equation
e = Expression.makeBuiltinCall("max",{e1,e2},tp);
then simplify1(e);
case (DAE.CALL(path=Absyn.IDENT("min"),ty=DAE.ET_BOOL(),expLst={e1,e2}))
equation
e = DAE.LBINARY(e1,DAE.AND(),e2);
then simplify1(e);
case (DAE.CALL(path=Absyn.IDENT("max"),ty=DAE.ET_BOOL(),expLst={e1,e2}))
equation
e = DAE.LBINARY(e1,DAE.OR(),e2);
then simplify1(e);
case (DAE.CALL(path=Absyn.IDENT("min"),ty=DAE.ET_ARRAY(DAE.ET_BOOL(),_),expLst={DAE.ARRAY(array=expl)}))
equation
e = Expression.makeLBinary(expl,DAE.AND());
then simplify1(e);
case (DAE.CALL(path=Absyn.IDENT("max"),ty=DAE.ET_ARRAY(DAE.ET_BOOL(),_),expLst={DAE.ARRAY(array=expl)}))
equation
e = Expression.makeLBinary(expl,DAE.OR());
then simplify1(e);
// cross
case (e as DAE.CALL(path = Absyn.IDENT("cross"), builtin = true, expLst = expl))
equation
expl = Util.listMap(expl, simplify1);
{DAE.ARRAY(array = v1),DAE.ARRAY(array = v2)} = expl;
expl = Static.elabBuiltinCross2(v1, v2);
tp = Expression.typeof(e);
// Since there is a bug somewhere in simplify that gives wrong types for arrays we take the type from cross.
scalar = not Expression.isArrayType(Expression.unliftArray(tp));
outExp = simplify(DAE.ARRAY(tp, scalar,expl));
then outExp;
// Simplify built-in function fill. MathCore depends on this being done here, do not remove!
case (DAE.CALL(path = Absyn.IDENT("fill"), builtin = true, expLst = expl))
equation
expl = Util.listMap(expl, simplify1);
e::expl = expl;
valueLst = Util.listMap(expl, ValuesUtil.expValue);
(_,outExp,_) = Static.elabBuiltinFill2(Env.emptyCache(), Env.emptyEnv, e, (DAE.T_NOTYPE(),NONE()), valueLst, DAE.C_CONST(),Prefix.NOPRE());
then
outExp;
case (DAE.CALL(path = Absyn.IDENT("String"), builtin = true, expLst = {e,len_exp,just_exp}))
equation
e = simplify1(e);
len_exp = simplify1(len_exp);
just_exp = simplify1(just_exp);
then simplifyBuiltinStringFormat(e,len_exp,just_exp);
case (DAE.CALL(path = Absyn.IDENT("stringAppendList"), builtin = true, expLst = {e}))
equation
DAE.LIST(valList = expl) = simplify1(e);
then simplifyStringAppendList(expl,{});
end match;
end simplifyBuiltinCalls;
protected function simplifyBuiltinStringFormat
input DAE.Exp exp;
input DAE.Exp len_exp;
input DAE.Exp just_exp;
output DAE.Exp outExp;
algorithm
outExp := match (exp,len_exp,just_exp)
local
Integer i,len;
Real r;
Boolean b,just;
String str;
Absyn.Path name;
case (DAE.ICONST(i),DAE.ICONST(len),DAE.BCONST(just))
equation
str = intString(i);
str = cevalBuiltinStringFormat(str,stringLength(str),len,just);
then DAE.SCONST(str);
case (DAE.RCONST(r),DAE.ICONST(len),DAE.BCONST(just))
equation
str = realString(r);
str = cevalBuiltinStringFormat(str,stringLength(str),len,just);
then DAE.SCONST(str);
case (DAE.BCONST(b),DAE.ICONST(len),DAE.BCONST(just))
equation
str = boolString(b);
str = cevalBuiltinStringFormat(str,stringLength(str),len,just);
then DAE.SCONST(str);
case (DAE.ENUM_LITERAL(name=name),DAE.ICONST(len),DAE.BCONST(just))
equation
str = Absyn.pathLastIdent(name);
str = cevalBuiltinStringFormat(str,stringLength(str),len,just);
then DAE.SCONST(str);
else Expression.makeBuiltinCall("String",{exp,len_exp,just_exp},DAE.ET_STRING());
end match;
end simplifyBuiltinStringFormat;
public function cevalBuiltinStringFormat
"Helper function to cevalBuiltinStringFormat, does the actual formatting."
input String inString;
input Integer stringLength;
input Integer minLength;
input Boolean leftJustified;
output String outString;
algorithm
outString := matchcontinue(inString, stringLength, minLength, leftJustified)
local
String str;
Integer fill_size;
// The string is longer than the minimum length, do nothing.
case (_, _, _, _)
equation
true = stringLength >= minLength;
then
inString;
// leftJustified is false, append spaces at the beginning of the string.
case (_, _, _, false)
equation
fill_size = minLength - stringLength;
str = stringAppendList(Util.listFill(" ", fill_size)) +& inString;
then
str;
// leftJustified is true, append spaces at the end of the string.
case (_, _, _, true)
equation
fill_size = minLength - stringLength;
str = inString +& stringAppendList(Util.listFill(" ", fill_size));
then
str;
end matchcontinue;
end cevalBuiltinStringFormat;
protected function simplifyStringAppendList
"
stringAppendList({abc,def,String(time),ghi,jkl}) => stringAppendList({abcdef,String(time),ghijkl})
stringAppendList({abc,def,ghi,jkl}) => abcdefghijkl
stringAppendList({}) => abcdefghijkl
"
input list<DAE.Exp> expl;
input list<DAE.Exp> acc;
output DAE.Exp exp;
algorithm
exp := match (expl,acc)
local
String s1,s2,s;
DAE.Exp exp,exp1,exp2;
list<DAE.Exp> rest;
case ({},{}) then DAE.SCONST("");
case ({},{exp}) then exp;
case ({},{exp1,exp2})
then DAE.BINARY(exp2,DAE.ADD(DAE.ET_STRING()),exp1);
case ({},acc)
equation
acc = listReverse(acc);
exp = DAE.LIST(acc);
then Expression.makeBuiltinCall("stringAppendList",{exp},DAE.ET_STRING());
case (DAE.SCONST(s1)::rest,DAE.SCONST(s2)::acc)
equation
s = s2 +& s1;
then simplifyStringAppendList(rest,DAE.SCONST(s)::acc);
case (exp::rest,acc) then simplifyStringAppendList(rest,exp::acc);
end match;
end simplifyStringAppendList;
protected function simplifyBuiltinConstantCalls "simplifies some builtin calls if constant arguments"
input DAE.Exp exp "assumes already simplified call arguments";
output DAE.Exp outExp;
algorithm
outExp := matchcontinue(exp)
local
Real r,v1,v2;
Integer i, j;
Absyn.Path path; DAE.Exp e,e1;
// der(constant) ==> 0
case(DAE.CALL(path=Absyn.IDENT("der"),expLst ={e}))
equation
true = Expression.isConst(e);
e1 = simplifyBuiltinConstantDer(e);
then e1;
// sqrt function
case(DAE.CALL(path=Absyn.IDENT("sqrt"),expLst={e}))
equation
r = realSqrt(Expression.getRealConst(e));
then
DAE.RCONST(r);
// abs on real
case(DAE.CALL(path=Absyn.IDENT("abs"),expLst={DAE.RCONST(r)}))
equation
r = realAbs(r);
then
DAE.RCONST(r);
// abs on integer
case(DAE.CALL(path=Absyn.IDENT("abs"),expLst={DAE.ICONST(i)}))
equation
i = intAbs(i);
then
DAE.ICONST(i);
// sin function
case(DAE.CALL(path=Absyn.IDENT("sin"),expLst={e}))
equation
r = realSin(Expression.getRealConst(e));
then
DAE.RCONST(r);
// cos function
case(DAE.CALL(path=Absyn.IDENT("cos"),expLst={e}))
equation
r = realCos(Expression.getRealConst(e));
then
DAE.RCONST(r);
// tangent function
case(DAE.CALL(path=Absyn.IDENT("tan"),expLst={e}))
equation
v1 = realSin(Expression.getRealConst(e));
v2 = realCos(Expression.getRealConst(e));
r = v1 /. v2;
then
DAE.RCONST(r);
// DAE.Exp function
case(DAE.CALL(path=Absyn.IDENT("exp"),expLst={e}))
equation
r = realExp(Expression.getRealConst(e));
then
DAE.RCONST(r);
// log function
case(DAE.CALL(path=Absyn.IDENT("log"),expLst={e}))
equation
r = realLn(Expression.getRealConst(e));
then
DAE.RCONST(r);
// log10 function
case(DAE.CALL(path=Absyn.IDENT("log10"),expLst={e}))
equation
r = realLog10(Expression.getRealConst(e));
then
DAE.RCONST(r);
// min function on integers
case(DAE.CALL(path=Absyn.IDENT("min"),expLst={DAE.ICONST(i), DAE.ICONST(j)}))
equation
i = intMin(i, j);
then DAE.ICONST(i);
// min function on reals
case(DAE.CALL(path=Absyn.IDENT("min"),expLst={e, e1}))
equation
v1 = Expression.getRealConst(e);
v2 = Expression.getRealConst(e1);
r = realMin(v1, v2);
then DAE.RCONST(r);
// min function on integers
case(DAE.CALL(path=Absyn.IDENT("max"),expLst={DAE.ICONST(i), DAE.ICONST(j)}))
equation
i = intMax(i, j);
then DAE.ICONST(i);
// max function on reals
case(DAE.CALL(path=Absyn.IDENT("max"),expLst={e, e1}))
equation
v1 = Expression.getRealConst(e);
v2 = Expression.getRealConst(e1);
r = realMax(v1, v2);
then DAE.RCONST(r);
end matchcontinue;
end simplifyBuiltinConstantCalls;
protected function simplifyMatrixRows ""
input list<tuple<DAE.Exp, Boolean>> inRow;
output list<tuple<DAE.Exp, Boolean>> outRow;
algorithm
outRow := match(inRow)
local
DAE.Exp e,e_1;
Boolean b;
case({}) then {};
case((e,b)::inRow)
equation
e_1 = simplify(e);
outRow = simplifyMatrixRows(inRow);
then
(e_1,b)::outRow;
end match;
end simplifyMatrixRows;
protected function simplifyIdentity ""
input Integer row;
input Integer n;
output list<DAE.Exp> outExp;
algorithm
outExp := matchcontinue(row,n)
local
list<DAE.Exp> rowExps;
DAE.Exp arrExp;
case(row,n) // bottom right
equation
true = intEq(row,n);
rowExps = simplifyIdentityMakeRow(n,1,row);
then
{DAE.ARRAY(DAE.ET_ARRAY(DAE.ET_INT(),{DAE.DIM_INTEGER(n)}),true,rowExps)};
case(row,n) // bottom right
equation
true = row < n;
rowExps = simplifyIdentityMakeRow(n,1,row);
outExp = simplifyIdentity(row+1,n);
arrExp = DAE.ARRAY(DAE.ET_ARRAY(DAE.ET_INT(),{DAE.DIM_INTEGER(n)}),true,rowExps);
then
arrExp::outExp;
end matchcontinue;
end simplifyIdentity;
/*
protected function simplifyIdentity ""
input Integer row;
input Integer n;
output list<list<DAE.Exp>> outExp;
algorithm
outExp := matchcontinue(row,n)
local
list<DAE.Exp> rowExps;
case(row,n) // bottom right
equation
true = intEq(row,n);
rowExps = simplifyIdentityMakeRow(n,1,row);
then
{rowExps};
case(row,n) // bottom right
equation
true = intEq(row,n);
rowExps = simplifyIdentityMakeRow(n,1,row);
outExp = simplifyIdentity(row+1,n);
then
rowExps::outExp;
end matchcontinue;
end simplifyIdentity;
*/
protected function simplifyIdentityMakeRow ""
input Integer n;
input Integer col;
input Integer row;
output list<DAE.Exp> expl;
algorithm
expl := matchcontinue(n,col,row)
local
Integer i;
case(n,col,row)
equation
true = intEq(n,col);
i = Util.if_(intEq(col,row),1,0);
then
{DAE.ICONST(i)};
case(n,col,row)
equation
true = col < n;
i = Util.if_(intEq(col,row),1,0);
expl = simplifyIdentityMakeRow(n,col+1,row);
then
DAE.ICONST(i)::expl;
end matchcontinue;
end simplifyIdentityMakeRow;
protected function simplifyCref
" Function for simplifying
x[{y,z,q}] to {x[y], x[z], x[q]}"
input ComponentRef inCREF;
input Type inType;
output DAE.Exp exp;
algorithm
exp := match (inCREF, inType)
local
Type t,t2;
list<Subscript> ssl;
ComponentRef cr;
Ident idn;
list<DAE.Exp> expl_1;
DAE.Exp expCref;
case(DAE.CREF_IDENT(idn,t2,(ssl as ((DAE.SLICE(DAE.ARRAY(_,_,expl_1))) :: _))),t)
equation
cr = ComponentReference.makeCrefIdent(idn,t2,{});
expCref = Expression.makeCrefExp(cr,t);
exp = simplifyCref2(expCref,ssl);
then