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BackendDAETransform.mo
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BackendDAETransform.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 BackendDAETransform
" file: BackendDAETransform.mo
package: BackendDAETransform
description: BackendDAETransform contains functions that are needed to perform
a transformation to a Block-Lower-Triangular-DAE.
- matchingAlgorithm
- strongComponents
- reduceIndexDummyDer
RCS: $Id$
"
public import Absyn;
public import BackendDAE;
public import DAE;
public import HashTableCG;
protected import BackendDAEEXT;
protected import BackendDAEUtil;
protected import BackendDump;
protected import BackendEquation;
protected import BackendVariable;
protected import BaseHashTable;
protected import ComponentReference;
protected import DAEUtil;
protected import Debug;
protected import Expression;
protected import ExpressionDump;
protected import ExpressionSimplify;
protected import Derive;
protected import Error;
protected import RTOpts;
protected import SCode;
protected import Util;
protected import Values;
/******************************************
matchingAlgorithm and stuff
*****************************************/
public function matchingAlgorithm
"function: matchingAlgorithm
author: PA
This function performs the matching algorithm, which is the first
part of sorting the equations into BLT (Block Lower Triangular) form.
The matching algorithm finds a variable that is solved in each equation.
But to also find out which equations forms a block of equations, the
the second algorithm of the BLT sorting: strong components
algorithm is run.
This function returns the updated DAE in case of index reduction has
added equations and variables, and the incidence matrix. The variable
assignments is returned as a vector of variable indices, as well as its
inverse, i.e. which equation a variable is solved in as a vector of
equation indices.
BackendDAE.MatchingOptions contain options given to the algorithm.
- if index reduction should be used or not.
- if the equation system is allowed to be under constrained or not
which is used when generating code for initial equations.
inputs: (BackendDAE,IncidenceMatrix, BackendDAE.IncidenceMatrixT, MatchingOptions)
outputs: (int vector /* vector of equation indices */ ,
int vector /* vector of variable indices */,
BackendDAE,IncidenceMatrix, IncidenceMatrixT)"
input BackendDAE.BackendDAE inBackendDAE;
input BackendDAE.IncidenceMatrix inIncidenceMatrix;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT;
input BackendDAE.MatchingOptions inMatchingOptions;
input daeHandlerFunc daeHandler;
input DAE.FunctionTree inFunctions;
output array<Integer> outIntegerArray1;
output array<Integer> outIntegerArray2;
output BackendDAE.BackendDAE outBackendDAE3;
output BackendDAE.IncidenceMatrix outIncidenceMatrix4;
output BackendDAE.IncidenceMatrixT outIncidenceMatrixT5;
partial function daeHandlerFunc
input BackendDAE.DAEHandlerJop inJop;
input BackendDAE.BackendDAE inBackendDAE;
input BackendDAE.IncidenceMatrix inIncidenceMatrix;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT;
input DAE.FunctionTree inFunctions;
input list<tuple<Integer,Integer,Integer>> inDerivedAlgs;
input list<tuple<Integer,Integer,Integer>> inDerivedMultiEqn;
input BackendDAE.DAEHandlerArg inArg;
output BackendDAE.BackendDAE outBackendDAE;
output BackendDAE.IncidenceMatrix outIncidenceMatrix;
output BackendDAE.IncidenceMatrixT outIncidenceMatrixT;
output list<tuple<Integer,Integer,Integer>> outDerivedAlgs;
output list<tuple<Integer,Integer,Integer>> outDerivedMultiEqn;
output BackendDAE.DAEHandlerArg outArg;
output Boolean outRunMatching;
end daeHandlerFunc;
algorithm
(outIntegerArray1,outIntegerArray2,outBackendDAE3,outIncidenceMatrix4,outIncidenceMatrixT5) :=
matchcontinue (inBackendDAE,inIncidenceMatrix,inIncidenceMatrixT,inMatchingOptions,daeHandler,inFunctions)
local
BackendDAE.Value nvars,neqns,memsize;
String ns,ne;
BackendDAE.Assignments assign1,assign2,ass1,ass2;
BackendDAE.BackendDAE dae;
array<list<BackendDAE.Value>> m,mt,m_1,mt_1;
array<BackendDAE.Value> vec1,vec2;
BackendDAE.MatchingOptions match_opts;
BackendDAE.DAEHandlerArg arg,arg1,arg2;
/* fail case if daelow is empty */
case (dae,m,mt,_,_,_)
equation
nvars = arrayLength(m);
neqns = arrayLength(mt);
(nvars == 0) = true;
(neqns == 0) = true;
vec1 = listArray({});
vec2 = listArray({});
then
(vec1,vec2,dae,m,mt);
case (dae,m,mt,match_opts,daeHandler,inFunctions)
equation
BackendDAEEXT.clearDifferentiated();
checkMatching(dae, match_opts);
nvars = arrayLength(m);
neqns = arrayLength(mt);
ns = intString(nvars);
ne = intString(neqns);
(nvars > 0) = true;
(neqns > 0) = true;
memsize = nvars + nvars "Worst case, all eqns are differentiated once. Create nvars2 assignment elements" ;
assign1 = assignmentsCreate(nvars, memsize, 0);
assign2 = assignmentsCreate(nvars, memsize, 0);
arg = emptyDAEHandlerArg();
(dae,m,mt,_,_,arg1,_) = daeHandler(BackendDAE.STARTSTEP(),dae, m, mt,inFunctions,{},{},arg);
(ass1,ass2,dae,m_1,mt_1,_,_,arg2) = matchingAlgorithm2(dae, m, mt, nvars, neqns, 1, assign1, assign2, match_opts, daeHandler, arg1, inFunctions, {}, {});
(dae,m_1,mt_1,_,_,_,_) = daeHandler(BackendDAE.ENDSTEP(),dae, m_1, mt_1,inFunctions,{},{},arg2);
vec1 = assignmentsVector(ass1);
vec2 = assignmentsVector(ass2);
then
(vec1,vec2,dae,m_1,mt_1);
case (_,_,_,_,_,_)
equation
Debug.fprint("failtrace", "- BackendDAE.MatchingAlgorithm failed\n");
then
fail();
end matchcontinue;
end matchingAlgorithm;
public function checkMatching
"function: checkMatching
author: PA
Checks that the matching is correct, i.e. that the number of variables
is the same as the number of equations. If not, the function fails and
prints an error message.
If matching options indicate that underconstrained systems are ok, no
check is performed."
input BackendDAE.BackendDAE inBackendDAE;
input BackendDAE.MatchingOptions inMatchingOptions;
algorithm
_ := matchcontinue (inBackendDAE,inMatchingOptions)
local
BackendDAE.Value esize,vars_size;
BackendDAE.EquationArray eqns;
String esize_str,vsize_str;
case (_,(_,BackendDAE.ALLOW_UNDERCONSTRAINED())) then ();
case (BackendDAE.DAE(orderedVars = BackendDAE.VARIABLES(numberOfVars = vars_size),orderedEqs = eqns),_)
equation
esize = BackendDAEUtil.equationSize(eqns);
((esize) == vars_size) = true;
then
();
case (BackendDAE.DAE(orderedVars = BackendDAE.VARIABLES(numberOfVars = vars_size),orderedEqs = eqns),_)
equation
esize = BackendDAEUtil.equationSize(eqns);
(esize < vars_size) = true;
esize = esize - 1;
vars_size = vars_size - 1 "remove dummy var" ;
esize_str = intString(esize) "remove dummy var" ;
vsize_str = intString(vars_size);
Error.addMessage(Error.UNDERDET_EQN_SYSTEM, {esize_str,vsize_str});
then
fail();
case (BackendDAE.DAE(orderedVars = BackendDAE.VARIABLES(numberOfVars = vars_size),orderedEqs = eqns),_)
equation
esize = BackendDAEUtil.equationSize(eqns);
(esize > vars_size) = true;
esize = esize - 1;
vars_size = vars_size - 1 "remove dummy var" ;
esize_str = intString(esize) "remove dummy var" ;
vsize_str = intString(vars_size);
Error.addMessage(Error.OVERDET_EQN_SYSTEM, {esize_str,vsize_str});
then
fail();
case (_,_)
equation
Debug.fprint("failtrace", "- BackendDAE.checkMatching failed\n");
then
fail();
end matchcontinue;
end checkMatching;
public function assignmentsVector
"function: assignmentsVector
author: PA
Converts BackendDAE.Assignments to vector of int elements"
input BackendDAE.Assignments inAssignments;
output array<Integer> outIntegerArray;
algorithm
outIntegerArray := matchcontinue (inAssignments)
local
array<BackendDAE.Value> newarr,newarr_1,arr;
array<BackendDAE.Value> vec;
BackendDAE.Value size;
case (BackendDAE.ASSIGNMENTS(actualSize = size,arrOfIndices = arr))
equation
newarr = arrayCreate(size, 0);
newarr_1 = Util.arrayNCopy(arr, newarr, size);
vec = arrayCopy(newarr_1);
then
vec;
case (_)
equation
Error.addMessage(Error.INTERNAL_ERROR, {"- BackendDAETransform.assignmentsVector failed!"});
then
fail();
end matchcontinue;
end assignmentsVector;
public function assignmentsCreate
"function: assignmentsCreate
author: PA
Creates an assignment array of n elements, filled with value v
inputs: (int /* size */, int /* memsize */, int)
outputs: => Assignments"
input Integer n;
input Integer memsize;
input Integer v;
output BackendDAE.Assignments outAssignments;
list<BackendDAE.Value> lst;
array<BackendDAE.Value> arr;
algorithm
arr := arrayCreate(memsize, 0);
outAssignments := BackendDAE.ASSIGNMENTS(n,memsize,arr);
end assignmentsCreate;
protected function assignmentsSetnth
"function: assignmentsSetnth
author: PA
Sets the n:nt assignment Value.
inputs: (Assignments, int /* n */, int /* value */)
outputs: Assignments"
input BackendDAE.Assignments inAssignments1;
input Integer inInteger2;
input Integer inInteger3;
output BackendDAE.Assignments outAssignments;
algorithm
outAssignments := matchcontinue (inAssignments1,inInteger2,inInteger3)
local
array<BackendDAE.Value> arr;
BackendDAE.Value s,ms,n,v;
case (BackendDAE.ASSIGNMENTS(actualSize = s,allocatedSize = ms,arrOfIndices = arr),n,v)
equation
arr = arrayUpdate(arr, n + 1, v);
then
BackendDAE.ASSIGNMENTS(s,ms,arr);
case (_,_,_)
equation
Error.addMessage(Error.INTERNAL_ERROR, {"- BackendDAETransform.assignments_setnth failed!"});
then
fail();
end matchcontinue;
end assignmentsSetnth;
protected function assignmentsExpand
"function: assignmentsExpand
author: PA
Expands the assignments array with n values, initialized with zero.
inputs: (Assignments, int /* n */)
outputs: Assignments"
input BackendDAE.Assignments inAssignments;
input Integer inInteger;
output BackendDAE.Assignments outAssignments;
algorithm
outAssignments := matchcontinue (inAssignments,inInteger)
local
BackendDAE.Assignments ass,ass_1,ass_2;
BackendDAE.Value n_1,n;
case (ass,0) then ass;
case (ass,n)
equation
true = n > 0;
ass_1 = assignmentsAdd(ass, 0);
n_1 = n - 1;
ass_2 = assignmentsExpand(ass_1, n_1);
then
ass_2;
case (ass,_)
equation
Error.addMessage(Error.INTERNAL_ERROR, {"- BackendDAETransform.assignmentsExpand: n should not be negative!"});
then
fail();
end matchcontinue;
end assignmentsExpand;
protected function assignmentsAdd
"function: assignmentsAdd
author: PA
Adds a value to the end of the assignments array. If memsize = actual size
this means copying the whole array, expanding it size to fit the value
Expansion is made by a factor 1.4. Otherwise, the element is inserted taking O(1) in
insertion cost.
inputs: (Assignments, int /* value */)
outputs: Assignments"
input BackendDAE.Assignments inAssignments;
input Integer inInteger;
output BackendDAE.Assignments outAssignments;
algorithm
outAssignments := matchcontinue (inAssignments,inInteger)
local
Real msr,msr_1;
BackendDAE.Value ms_1,s_1,ms_2,s,ms,v;
array<BackendDAE.Value> arr_1,arr_2,arr;
case (BackendDAE.ASSIGNMENTS(actualSize = s,allocatedSize = ms,arrOfIndices = arr),v)
equation
(s == ms) = true "Out of bounds, increase and copy." ;
msr = intReal(ms);
msr_1 = msr *. 0.4;
ms_1 = realInt(msr_1);
s_1 = s + 1;
ms_2 = ms_1 + ms;
arr_1 = Util.arrayExpand(ms_1, arr, 0);
arr_2 = arrayUpdate(arr_1, s + 1, v);
then
BackendDAE.ASSIGNMENTS(s_1,ms_2,arr_2);
case (BackendDAE.ASSIGNMENTS(actualSize = s,allocatedSize = ms,arrOfIndices = arr),v)
equation
arr_1 = arrayUpdate(arr, s + 1, v) "space available, increase size and insert element." ;
s_1 = s + 1;
then
BackendDAE.ASSIGNMENTS(s_1,ms,arr_1);
case (BackendDAE.ASSIGNMENTS(actualSize = s,allocatedSize = ms,arrOfIndices = arr),v)
equation
Error.addMessage(Error.INTERNAL_ERROR, {"-BackendDAETranfrom.assignmentsAdd failed!"});
then
fail();
end matchcontinue;
end assignmentsAdd;
public function matchingAlgorithm2
"function: matchingAlgorithm2
author: PA
This is the outer loop of the matching algorithm
The find_path algorithm is called for each equation/variable.
inputs: (BackendDAE,IncidenceMatrix, IncidenceMatrixT
,int /* number of vars */
,int /* number of eqns */
,int /* current var */
,Assignments /* assignments, array of eqn indices */
,Assignments /* assignments, array of var indices */
,MatchingOptions) /* options for matching alg. */
outputs: (Assignments, /* assignments, array of equation indices */
Assignments, /* assignments, list of variable indices */
BackendDAE, BackendDAE.IncidenceMatrix, IncidenceMatrixT)"
input BackendDAE.BackendDAE inBackendDAE1;
input BackendDAE.IncidenceMatrix inIncidenceMatrix2;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT3;
input Integer inInteger4;
input Integer inInteger5;
input Integer inInteger6;
input BackendDAE.Assignments inAssignments7;
input BackendDAE.Assignments inAssignments8;
input BackendDAE.MatchingOptions inMatchingOptions9;
input daeHandlerFunc daeHandler;
input BackendDAE.DAEHandlerArg inArg;
input DAE.FunctionTree inFunctions;
input list<tuple<Integer,Integer,Integer>> inDerivedAlgs;
input list<tuple<Integer,Integer,Integer>> inDerivedMultiEqn;
output BackendDAE.Assignments outAssignments1;
output BackendDAE.Assignments outAssignments2;
output BackendDAE.BackendDAE outBackendDAE3;
output BackendDAE.IncidenceMatrix outIncidenceMatrix4;
output BackendDAE.IncidenceMatrixT outIncidenceMatrixT5;
output list<tuple<Integer,Integer,Integer>> outDerivedAlgs;
output list<tuple<Integer,Integer,Integer>> outDerivedMultiEqn;
output BackendDAE.DAEHandlerArg outArg;
partial function daeHandlerFunc
input BackendDAE.DAEHandlerJop inJop;
input BackendDAE.BackendDAE inBackendDAE;
input BackendDAE.IncidenceMatrix inIncidenceMatrix;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT;
input DAE.FunctionTree inFunctions;
input list<tuple<Integer,Integer,Integer>> inDerivedAlgs;
input list<tuple<Integer,Integer,Integer>> inDerivedMultiEqn;
input BackendDAE.DAEHandlerArg inArg;
output BackendDAE.BackendDAE outBackendDAE;
output BackendDAE.IncidenceMatrix outIncidenceMatrix;
output BackendDAE.IncidenceMatrixT outIncidenceMatrixT;
output list<tuple<Integer,Integer,Integer>> outDerivedAlgs;
output list<tuple<Integer,Integer,Integer>> outDerivedMultiEqn;
output BackendDAE.DAEHandlerArg outArg;
output Boolean outRunMatching;
end daeHandlerFunc;
algorithm
(outAssignments1,outAssignments2,outBackendDAE3,outIncidenceMatrix4,outIncidenceMatrixT5,outDerivedAlgs,outDerivedMultiEqn,outArg):=
matchcontinue (inBackendDAE1,inIncidenceMatrix2,inIncidenceMatrixT3,inInteger4,inInteger5,inInteger6,inAssignments7,inAssignments8,inMatchingOptions9,daeHandler,inArg,inFunctions,inDerivedAlgs,inDerivedMultiEqn)
local
BackendDAE.Assignments ass1_1,ass2_1,ass1,ass2,ass1_2,ass2_2;
BackendDAE.BackendDAE dae;
array<list<BackendDAE.Value>> m,mt;
BackendDAE.Value nv,nf,i,i_1,nv_1,nkv,nf_1,nvd;
BackendDAE.MatchingOptions match_opts;
BackendDAE.EquationArray eqns;
BackendDAE.EquationConstraints eq_cons;
list<BackendDAE.Value> eqn_lst,var_lst;
String eqn_str,var_str;
list<tuple<Integer,Integer,Integer>> derivedAlgs,derivedAlgs1,derivedAlgs2;
list<tuple<Integer,Integer,Integer>> derivedMultiEqn,derivedMultiEqn1,derivedMultiEqn2;
BackendDAE.DAEHandlerArg arg,arg1;
DAE.ElementSource source;
Absyn.Info info;
case (dae,m,mt,nv,nf,i,ass1,ass2,_,_,inArg,_,derivedAlgs,derivedMultiEqn)
equation
(nv == i) = true;
BackendDAEEXT.initMarks(nv, nf);
(ass1_1,ass2_1) = pathFound(m, mt, i, ass1, ass2) "eMark(i)=vMark(i)=false; eMark(i)=vMark(i)=false exit loop";
then
(ass1_1,ass2_1,dae,m,mt,derivedAlgs,derivedMultiEqn,inArg);
case (dae,m,mt,nv,nf,i,ass1,ass2,match_opts,daeHandler,inArg,inFunctions,derivedAlgs,derivedMultiEqn)
equation
i_1 = i + 1;
BackendDAEEXT.initMarks(nv, nf);
(ass1_1,ass2_1) = pathFound(m, mt, i, ass1, ass2) "eMark(i)=vMark(i)=false" ;
(ass1_2,ass2_2,dae,m,mt,derivedAlgs1,derivedMultiEqn1,arg) = matchingAlgorithm2(dae, m, mt, nv, nf, i_1, ass1_1, ass2_1, match_opts, daeHandler, inArg, inFunctions,derivedAlgs,derivedMultiEqn);
then
(ass1_2,ass2_2,dae,m,mt,derivedAlgs1,derivedMultiEqn1,arg);
case (dae,m,mt,nv,nf,i,ass1,ass2,match_opts as (BackendDAE.INDEX_REDUCTION(),eq_cons),daeHandler,inArg,inFunctions,derivedAlgs,derivedMultiEqn)
equation
(dae,m,mt,derivedAlgs1,derivedMultiEqn1,arg,_) = daeHandler(BackendDAE.REDUCE_INDEX(),dae, m, mt, inFunctions,derivedAlgs,derivedMultiEqn,inArg)
"path_found failed, Try index reduction using dummy derivatives.
When a constraint exist between states and index reduction is needed
the dummy derivative will select one of the states as a dummy state
(and the derivative of that state as a dummy derivative).
For instance, u1=u2 is a constraint between states. Choose u1 as dummy state
and der(u1) as dummy derivative, named der_u1. The differentiated function
then becomes: der_u1 = der(u2).
In the dummy derivative method this equation is added and the original equation
u1=u2 is kept. This is not the case for the original pantilides algorithm, where
the original equation is removed from the system." ;
eqns = BackendEquation.daeEqns(dae);
nf_1 = BackendDAEUtil.equationSize(eqns) "and try again, restarting. This could be optimized later. It should not
be necessary to restart the matching, according to Bernard Bachmann. Instead one
could continue the matching as usual. This was tested (2004-11-22) and it does not
work to continue without restarting.
For instance the Influenca model \"../testsuite/mofiles/Influenca.mo\" does not work if
not restarting.
2004-12-29 PA. This was a bug, assignment lists needed to be expanded with the size
of the system in order to work. SO: Matching is not needed to be restarted from
scratch." ;
nv_1 = BackendVariable.varsSize(BackendVariable.daeVars(dae));
nvd = nv_1 - nv;
ass1_1 = assignmentsExpand(ass1, nvd);
ass2_1 = assignmentsExpand(ass2, nvd);
(ass1_2,ass2_2,dae,m,mt,derivedAlgs2,derivedMultiEqn2,arg1) = matchingAlgorithm2(dae,m,mt,nv_1,nf_1,i,ass1_1,ass2_1,match_opts,daeHandler,arg,inFunctions,derivedAlgs1,derivedMultiEqn1);
then
(ass1_2,ass2_2,dae,m,mt,derivedAlgs2,derivedMultiEqn2,arg1);
case (dae,_,_,_,_,_,_,_,_,_,_,_,_,_)
equation
eqn_lst = BackendDAEEXT.getMarkedEqns() "When index reduction also fails, the model is structurally singular." ;
var_lst = BackendDAEEXT.getMarkedVariables();
eqn_str = BackendDump.dumpMarkedEqns(dae, eqn_lst);
var_str = BackendDump.dumpMarkedVars(dae, var_lst);
i::_ = eqn_lst;
source = BackendEquation.markedEquationSource(dae, i);
info = DAEUtil.getElementSourceFileInfo(source);
Error.addSourceMessage(Error.STRUCT_SINGULAR_SYSTEM, {eqn_str,var_str}, info);
//print("structurally singular. IM:");
//dumpIncidenceMatrix(m);
//print("daelow:");
//dump(dae);
then
fail();
end matchcontinue;
end matchingAlgorithm2;
protected function pathFound "function: pathFound
author: PA
This function is part of the matching algorithm.
It tries to find a matching for the equation index given as
third argument, i.
inputs: (IncidenceMatrix, BackendDAE.IncidenceMatrixT, int /* equation */,
Assignments, Assignments)
outputs: (Assignments, Assignments)
"
input BackendDAE.IncidenceMatrix inIncidenceMatrix1;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT2;
input Integer inInteger3;
input BackendDAE.Assignments inAssignments4;
input BackendDAE.Assignments inAssignments5;
output BackendDAE.Assignments outAssignments1;
output BackendDAE.Assignments outAssignments2;
algorithm
(outAssignments1,outAssignments2):=
matchcontinue (inIncidenceMatrix1,inIncidenceMatrixT2,inInteger3,inAssignments4,inAssignments5)
local
BackendDAE.Assignments ass1_1,ass2_1,ass1,ass2;
array<list<BackendDAE.Value>> m,mt;
BackendDAE.Value i;
case (m,mt,i,ass1,ass2)
equation
BackendDAEEXT.eMark(i) "Side effect" ;
(ass1_1,ass2_1) = assignOneInEqn(m, mt, i, ass1, ass2);
then
(ass1_1,ass2_1);
case (m,mt,i,ass1,ass2)
equation
(ass1_1,ass2_1) = forallUnmarkedVarsInEqn(m, mt, i, ass1, ass2);
then
(ass1_1,ass2_1);
end matchcontinue;
end pathFound;
protected function assignOneInEqn "function: assignOneInEqn
author: PA
Helper function to path_found.
"
input BackendDAE.IncidenceMatrix inIncidenceMatrix1;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT2;
input Integer inInteger3;
input BackendDAE.Assignments inAssignments4;
input BackendDAE.Assignments inAssignments5;
output BackendDAE.Assignments outAssignments1;
output BackendDAE.Assignments outAssignments2;
algorithm
(outAssignments1,outAssignments2):=
match (inIncidenceMatrix1,inIncidenceMatrixT2,inInteger3,inAssignments4,inAssignments5)
local
list<BackendDAE.Value> vars;
BackendDAE.Assignments ass1_1,ass2_1,ass1,ass2;
array<list<BackendDAE.Value>> m,mt;
BackendDAE.Value i;
case (m,mt,i,ass1,ass2)
equation
vars = BackendDAEUtil.varsInEqn(m, i);
(ass1_1,ass2_1) = assignFirstUnassigned(i, vars, ass1, ass2);
then
(ass1_1,ass2_1);
end match;
end assignOneInEqn;
protected function assignFirstUnassigned
"function: assignFirstUnassigned
author: PA
This function assigns the first unassign variable to the equation
given as first argument. It is part of the matching algorithm.
inputs: (int /* equation */,
int list /* variables */,
BackendDAE.Assignments /* ass1 */,
BackendDAE.Assignments /* ass2 */)
outputs: (Assignments, /* ass1 */
Assignments) /* ass2 */"
input Integer inInteger1;
input list<Integer> inIntegerLst2;
input BackendDAE.Assignments inAssignments3;
input BackendDAE.Assignments inAssignments4;
output BackendDAE.Assignments outAssignments1;
output BackendDAE.Assignments outAssignments2;
algorithm
(outAssignments1,outAssignments2):=
matchcontinue (inInteger1,inIntegerLst2,inAssignments3,inAssignments4)
local
BackendDAE.Assignments ass1_1,ass2_1,ass1,ass2;
BackendDAE.Value i,v;
list<BackendDAE.Value> vs;
case (i,(v :: vs),ass1,ass2)
equation
0 = getAssigned(v, ass1, ass2);
(ass1_1,ass2_1) = assign(v, i, ass1, ass2);
then
(ass1_1,ass2_1);
case (i,(v :: vs),ass1,ass2)
equation
(ass1_1,ass2_1) = assignFirstUnassigned(i, vs, ass1, ass2);
then
(ass1_1,ass2_1);
end matchcontinue;
end assignFirstUnassigned;
protected function getAssigned
"function: getAssigned
author: PA
returns the assigned equation for a variable.
inputs: (int /* variable */,
Assignments, /* ass1 */
Assignments) /* ass2 */
outputs: int /* equation */"
input Integer inInteger1;
input BackendDAE.Assignments inAssignments2;
input BackendDAE.Assignments inAssignments3;
output Integer outInteger;
algorithm
outInteger:=
match (inInteger1,inAssignments2,inAssignments3)
local
BackendDAE.Value v;
array<BackendDAE.Value> m;
case (v,BackendDAE.ASSIGNMENTS(arrOfIndices = m),_) then m[v];
end match;
end getAssigned;
protected function assign
"function: assign
author: PA
Assign a variable to an equation, updating both assignment lists.
inputs: (int, /* variable */
int, /* equation */
Assignments, /* ass1 */
Assignments) /* ass2 */
outputs: (Assignments, /* updated ass1 */
Assignments) /* updated ass2 */"
input Integer inInteger1;
input Integer inInteger2;
input BackendDAE.Assignments inAssignments3;
input BackendDAE.Assignments inAssignments4;
output BackendDAE.Assignments outAssignments1;
output BackendDAE.Assignments outAssignments2;
algorithm
(outAssignments1,outAssignments2):=
match (inInteger1,inInteger2,inAssignments3,inAssignments4)
local
BackendDAE.Value v_1,e_1,v,e;
BackendDAE.Assignments ass1_1,ass2_1,ass1,ass2;
case (v,e,ass1,ass2)
equation
v_1 = v - 1 "print \"assign \" & intString v => vs & intString e => es & print vs & print \" to eqn \" & print es & print \"\\n\" &" ;
e_1 = e - 1;
ass1_1 = assignmentsSetnth(ass1, v_1, e);
ass2_1 = assignmentsSetnth(ass2, e_1, v);
then
(ass1_1,ass2_1);
end match;
end assign;
protected function forallUnmarkedVarsInEqn
"function: forallUnmarkedVarsInEqn
author: PA
This function is part of the matching algorithm.
It loops over all umarked variables in an equation.
inputs: (IncidenceMatrix,
IncidenceMatrixT,
int,
BackendDAE.Assignments /* ass1 */,
BackendDAE.Assignments /* ass2 */)
outputs: (Assignments, Assignments)"
input BackendDAE.IncidenceMatrix inIncidenceMatrix1;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT2;
input Integer inInteger3;
input BackendDAE.Assignments inAssignments4;
input BackendDAE.Assignments inAssignments5;
output BackendDAE.Assignments outAssignments1;
output BackendDAE.Assignments outAssignments2;
algorithm
(outAssignments1,outAssignments2):=
match (inIncidenceMatrix1,inIncidenceMatrixT2,inInteger3,inAssignments4,inAssignments5)
local
list<BackendDAE.Value> vars,vars_1;
BackendDAE.Assignments ass1_1,ass2_1,ass1,ass2;
array<list<BackendDAE.Value>> m,mt;
BackendDAE.Value i;
case (m,mt,i,ass1,ass2)
equation
vars = BackendDAEUtil.varsInEqn(m, i);
vars_1 = Util.listFilter(vars, isNotVMarked);
(ass1_1,ass2_1) = forallUnmarkedVarsInEqnBody(m, mt, i, vars_1, ass1, ass2);
then
(ass1_1,ass2_1);
end match;
end forallUnmarkedVarsInEqn;
protected function isNotVMarked
"function: isNotVMarked
author: PA
This function succeds for variables that are not marked."
input Integer i;
algorithm
false := BackendDAEEXT.getVMark(i);
end isNotVMarked;
protected function forallUnmarkedVarsInEqnBody
"function: forallUnmarkedVarsInEqnBody
author: PA
This function is part of the matching algorithm.
It is the body of the loop over all unmarked variables.
inputs: (IncidenceMatrix, BackendDAE.IncidenceMatrixT,
int,
int list /* var list */
Assignments
Assignments)
outputs: (Assignments, Assignments)"
input BackendDAE.IncidenceMatrix inIncidenceMatrix1;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT2;
input Integer inInteger3;
input list<Integer> inIntegerLst4;
input BackendDAE.Assignments inAssignments5;
input BackendDAE.Assignments inAssignments6;
output BackendDAE.Assignments outAssignments1;
output BackendDAE.Assignments outAssignments2;
algorithm
(outAssignments1,outAssignments2):=
matchcontinue (inIncidenceMatrix1,inIncidenceMatrixT2,inInteger3,inIntegerLst4,inAssignments5,inAssignments6)
local
BackendDAE.Value assarg,i,v;
BackendDAE.Assignments ass1_1,ass2_1,ass1_2,ass2_2,ass1,ass2;
array<list<BackendDAE.Value>> m,mt;
list<BackendDAE.Value> vars,vs;
case (m,mt,i,(vars as (v :: vs)),ass1,ass2)
equation
BackendDAEEXT.vMark(v);
assarg = getAssigned(v, ass1, ass2);
(ass1_1,ass2_1) = pathFound(m, mt, assarg, ass1, ass2);
(ass1_2,ass2_2) = assign(v, i, ass1_1, ass2_1);
then
(ass1_2,ass2_2);
case (m,mt,i,(vars as (v :: vs)),ass1,ass2)
equation
BackendDAEEXT.vMark(v);
(ass1_1,ass2_1) = forallUnmarkedVarsInEqnBody(m, mt, i, vs, ass1, ass2);
then
(ass1_1,ass2_1);
end matchcontinue;
end forallUnmarkedVarsInEqnBody;
/******************************************
strongComponents and stuff
*****************************************/
public function strongComponents "function: strongComponents
author: PA
This is the second part of the BLT sorting. It takes the variable
assignments and the incidence matrix as input and identifies strong
components, i.e. subsystems of equations.
inputs: (IncidenceMatrix, BackendDAE.IncidenceMatrixT, int vector, int vector)
outputs: (int list list /* list of components */ )
"
input BackendDAE.IncidenceMatrix inIncidenceMatrix1;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT2;
input array<Integer> inIntegerArray3;
input array<Integer> inIntegerArray4;
output list<list<Integer>> outIntegerLstLst;
algorithm
outIntegerLstLst:=
matchcontinue (inIncidenceMatrix1,inIncidenceMatrixT2,inIntegerArray3,inIntegerArray4)
local
BackendDAE.Value n,i;
list<BackendDAE.Value> stack;
list<list<BackendDAE.Value>> comps;
array<list<BackendDAE.Value>> m,mt;
array<BackendDAE.Value> ass1,ass2;
case (m,mt,ass1,ass2)
equation
n = arrayLength(m);
BackendDAEEXT.initLowLink(n);
BackendDAEEXT.initNumber(n);
(i,stack,comps) = strongConnectMain(m, mt, ass1, ass2, n, 0, 1, {}, {});
then
comps;
case (_,_,_,_)
equation
Debug.fprint("failtrace", "strong_components failed\n");
Error.addMessage(Error.INTERNAL_ERROR,
{"sorting equations(strong components failed)"});
then
fail();
end matchcontinue;
end strongComponents;
protected function strongConnectMain "function: strongConnectMain
author: PA
Helper function to strong_components
inputs: (IncidenceMatrix,
IncidenceMatrixT,
int vector, /* Assignment */
int vector, /* Assignment */
int, /* n - number of equations */
int, /* i */
int, /* w */
int list, /* stack */
int list list /* components */)
outputs: (int /* i */, int list /* stack */, int list list /* components */)
"
input BackendDAE.IncidenceMatrix inIncidenceMatrix1;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT2;
input array<Integer> inIntegerArray3;
input array<Integer> inIntegerArray4;
input Integer inInteger5;
input Integer inInteger6;
input Integer inInteger7;
input list<Integer> inIntegerLst8;
input list<list<Integer>> inIntegerLstLst9;
output Integer outInteger;
output list<Integer> outIntegerLst;
output list<list<Integer>> outIntegerLstLst;
algorithm
(outInteger,outIntegerLst,outIntegerLstLst):=
matchcontinue (inIncidenceMatrix1,inIncidenceMatrixT2,inIntegerArray3,inIntegerArray4,inInteger5,inInteger6,inInteger7,inIntegerLst8,inIntegerLstLst9)
local
array<list<BackendDAE.Value>> m,mt;
array<BackendDAE.Value> a1,a2;
BackendDAE.Value n,i,w,w_1,num;
list<BackendDAE.Value> stack,stack_1,stack_2;
list<list<BackendDAE.Value>> comp, comps;
case (m,mt,a1,a2,n,i,w,stack,comp)
equation
(w > n) = true;
then
(i,stack,comp);
case (m,mt,a1,a2,n,i,w,stack,comps)
equation
0 = BackendDAEEXT.getNumber(w);
(i,stack_1,comps) = strongConnect(m, mt, a1, a2, i, w, stack, comps);
w_1 = w + 1;
(i,stack_2,comps) = strongConnectMain(m, mt, a1, a2, n, i, w_1, stack_1, comps);
then
(i,stack_2,comps);
case (m,mt,a1,a2,n,i,w,stack,comps)
equation
num = BackendDAEEXT.getNumber(w);
(num == 0) = false;
w_1 = w + 1;
(i,stack_1,comps) = strongConnectMain(m, mt, a1, a2, n, i, w_1, stack, comps);
then
(i,stack_1,comps);
end matchcontinue;
end strongConnectMain;
protected function strongConnect "function: strongConnect
author: PA
Helper function to strong_connect_main
inputs: (IncidenceMatrix, BackendDAE.IncidenceMatrixT, int vector, int vector,
int /* i */, int /* v */, int list /* stack */, int list list /* components */)
outputs: (int /* i */, int list /* stack */, int list list /* components */ )
"
input BackendDAE.IncidenceMatrix inIncidenceMatrix1;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT2;
input array<Integer> inIntegerArray3;
input array<Integer> inIntegerArray4;
input Integer inInteger5;
input Integer inInteger6;
input list<Integer> inIntegerLst7;
input list<list<Integer>> inIntegerLstLst8;
output Integer outInteger;
output list<Integer> outIntegerLst;
output list<list<Integer>> outIntegerLstLst;
algorithm
(outInteger,outIntegerLst,outIntegerLstLst):=
matchcontinue (inIncidenceMatrix1,inIncidenceMatrixT2,inIntegerArray3,inIntegerArray4,inInteger5,inInteger6,inIntegerLst7,inIntegerLstLst8)
local
BackendDAE.Value i_1,i,v;
list<BackendDAE.Value> stack_1,eqns,stack_2,stack_3,comp,stack;
list<list<BackendDAE.Value>> comps_1,comps_2,comps;
array<list<BackendDAE.Value>> m,mt;
array<BackendDAE.Value> a1,a2;
case (m,mt,a1,a2,i,v,stack,comps)
equation
i_1 = i + 1;
BackendDAEEXT.setNumber(v, i_1) ;
BackendDAEEXT.setLowLink(v, i_1);
stack_1 = (v :: stack);
eqns = reachableNodes(v, m, mt, a1, a2);
(i_1,stack_2,comps_1) = iterateReachableNodes(eqns, m, mt, a1, a2, i_1, v, stack_1, comps);
(i_1,stack_3,comp) = checkRoot(m, mt, a1, a2, i_1, v, stack_2);
comps_2 = consIfNonempty(comp, comps_1);
then
(i_1,stack_3,comps_2);
case (_,_,_,_,_,_,_,_)
equation
Debug.fprint("failtrace", "-strong_connect failed\n");
then
fail();
end matchcontinue;
end strongConnect;
protected function consIfNonempty "function: consIfNonempty
author: PA
Small helper function to avoid empty sublists.
Consider moving to Util?
"
input list<Integer> inIntegerLst;
input list<list<Integer>> inIntegerLstLst;
output list<list<Integer>> outIntegerLstLst;
algorithm
outIntegerLstLst:=
matchcontinue (inIntegerLst,inIntegerLstLst)
local
list<list<BackendDAE.Value>> lst;
list<BackendDAE.Value> e;
case ({},lst) then lst;
case (e,lst) then (e :: lst);
end matchcontinue;
end consIfNonempty;
public function reachableNodes "function: reachableNodes
author: PA
Helper function to strong_connect.
Returns a list of reachable nodes (equations), corresponding
to those equations that uses the solved variable of this equation.
The edges of the graph that identifies strong components/blocks are
dependencies between blocks. A directed edge e = (n1,n2) means
that n1 solves for a variable (e.g. \'a\') that is used in the equation
of n2, i.e. the equation of n1 must be solved before the equation of n2.
"
input Integer inInteger1;
input BackendDAE.IncidenceMatrix inIncidenceMatrix2;
input BackendDAE.IncidenceMatrixT inIncidenceMatrixT3;
input array<Integer> inIntegerArray4;
input array<Integer> inIntegerArray5;
output list<Integer> outIntegerLst;
algorithm
outIntegerLst:=
matchcontinue (inInteger1,inIncidenceMatrix2,inIncidenceMatrixT3,inIntegerArray4,inIntegerArray5)
local
BackendDAE.Value var,pos,eqn;
list<BackendDAE.Value> reachable,reachable_1,reachable_2;
array<list<BackendDAE.Value>> m,mt;
array<BackendDAE.Value> a1,a2;
String eqnstr;
case (eqn,m,mt,a1,a2)
equation
var = a2[eqn];
reachable = mt[var] "Got the variable that is solved in the equation" ;
reachable_1 = BackendDAEUtil.removeNegative(reachable) "in which other equations is this variable present ?" ;
pos = Util.listPosition(eqn, reachable_1) ".. except this one" ;
reachable_2 = listDelete(reachable_1, pos);
then
reachable_2;
case (eqn,_,_,_,_)
equation
true = RTOpts.debugFlag("failtrace");
Debug.fprint("failtrace", "-reachable_nodes failed, eqn: ");
eqnstr = intString(eqn);
Debug.fprint("failtrace", eqnstr);
Debug.fprint("failtrace", "\n");
then
fail();
end matchcontinue;
end reachableNodes;
protected function iterateReachableNodes "function: iterateReachableNodes
author: PA
Helper function to strong_connect.