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occt/src/AppParCurves/AppParCurves_Variational_1.gxx
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// Created on: 1997-09-17
// Created by: Philippe MANGIN /Igor Feoktistov (1998)
// Copyright (c) 1997-1999 Matra Datavision
// Copyright (c) 1999-2014 OPEN CASCADE SAS
//
// This file is part of Open CASCADE Technology software library.
//
// This library is free software; you can redistribute it and/or modify it under
// the terms of the GNU Lesser General Public License version 2.1 as published
// by the Free Software Foundation, with special exception defined in the file
// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
// distribution for complete text of the license and disclaimer of any warranty.
//
// Alternatively, this file may be used under the terms of Open CASCADE
// commercial license or contractual agreement.
#include <SortTools_StraightInsertionSortOfReal.hxx>
#include <TCollection_CompareOfReal.hxx>
#include <TColStd_HArray2OfInteger.hxx>
#include <TColStd_HArray1OfReal.hxx>
#include <TColStd_Array2OfInteger.hxx>
#include <FEmTool_Assembly.hxx>
#include <FEmTool_AssemblyTable.hxx>
#include <FEmTool_Curve.hxx>
//====================== Private Methodes =============================//
//=======================================================================
//function : TheMotor
//purpose : Smoothing's motor like STRIM routine "MOTLIS"
//=======================================================================
void AppParCurves_Variational::TheMotor(
Handle(AppParCurves_SmoothCriterion)& J,
// const Standard_Real WQuadratic,
const Standard_Real ,
const Standard_Real WQuality,
Handle(FEmTool_Curve)& TheCurve,
TColStd_Array1OfReal& Ecarts)
{
// ...
const Standard_Real BigValue = 1.e37, SmallValue = 1.e-6, SmallestValue = 1.e-9;
// SortTools_StraightInsertionSortOfReal Sort;
TCollection_CompareOfReal CompReal;
Handle(TColStd_HArray1OfReal) CurrentTi, NewTi, OldTi;
Handle(TColStd_HArray2OfInteger) Dependence;
Standard_Boolean lestim, lconst, ToOptim, iscut;
Standard_Boolean isnear = Standard_False, again = Standard_True;
Standard_Integer NbEst, ICDANA, NumPnt, Iter;
Standard_Integer MaxNbEst =5;
Standard_Real VOCRI[3] = {BigValue, BigValue, BigValue}, EROLD = BigValue,
VALCRI[3], ERRMAX = BigValue, ERRMOY, ERRQUA;
Standard_Real CBLONG, LNOLD;
Standard_Integer NbrPnt = myLastPoint - myFirstPoint + 1;
Standard_Integer NbrConstraint = myNbPassPoints + myNbTangPoints + myNbCurvPoints;
Handle(FEmTool_Curve) CCurrent, COld, CNew;
Standard_Real EpsLength = SmallValue;
Standard_Real EpsDeg;
Standard_Real e1, e2, e3;
Standard_Real J1min, J2min, J3min;
Standard_Integer iprog;
// (0) Init
J->GetEstimation(e1, e2, e3);
J1min = 1.e-8; J2min = J3min = (e1 + 1.e-8) * 1.e-6;
if(e1 < J1min) e1 = J1min;// Like in
if(e2 < J2min) e2 = J2min;// MOTLIS
if(e3 < J3min) e3 = J3min;
J->SetEstimation(e1, e2, e3);
CCurrent = TheCurve;
CurrentTi = new TColStd_HArray1OfReal(1, myParameters->Length());
CurrentTi->ChangeArray1() = myParameters->Array1();
OldTi = new (TColStd_HArray1OfReal) (1, CurrentTi->Length());
OldTi->ChangeArray1() = CurrentTi->Array1();
COld = CCurrent;
LNOLD = CBLONG = J->EstLength();
Dependence = J->DependenceTable();
J->SetCurve(CCurrent);
FEmTool_Assembly * TheAssembly =
new FEmTool_Assembly (Dependence->Array2(), J->AssemblyTable());
//============ Optimization ============================
// Standard_Integer inagain = 0;
while (again) {
// (1) Loop Optimization / Estimation
lestim = Standard_True;
lconst = Standard_True;
NbEst = 0;
J->SetCurve(CCurrent);
while(lestim) {
// (1.1) Curve's Optimization.
EpsLength = SmallValue * CBLONG / NbrPnt;
CNew = new (FEmTool_Curve) (CCurrent->Dimension(),
CCurrent->NbElements(), CCurrent->Base(), EpsLength);
CNew->Knots() = CCurrent->Knots();
J->SetParameters(CurrentTi);
EpsDeg = Min(WQuality * .1, CBLONG * .001);
Optimization(J, *TheAssembly, lconst, EpsDeg, CNew, CurrentTi->Array1());
lconst = Standard_False;
// (1.2) calcul des criteres de qualites et amelioration
// des estimation.
ICDANA = J->QualityValues(J1min, J2min, J3min,
VALCRI[0], VALCRI[1], VALCRI[2]);
if(ICDANA > 0) lconst = Standard_True;
J->ErrorValues(ERRMAX, ERRQUA, ERRMOY);
isnear = ((Sqrt(ERRQUA / NbrPnt) < 2*WQuality) &&
(myNbIterations > 1));
// (1.3) Optimisation des ti par proj orthogonale
// et calcul de l'erreur aux points.
if (isnear) {
NewTi = new (TColStd_HArray1OfReal) (1, CurrentTi->Length());
Project(CNew, CurrentTi->Array1(),
NewTi->ChangeArray1(),
Ecarts, NumPnt,
ERRMAX, ERRQUA, ERRMOY, 2);
}
else NewTi = CurrentTi;
// (1.4) Progression's test
iprog = 0;
if ((EROLD > WQuality) && (ERRMAX < 0.95*EROLD)) iprog++;
if ((EROLD > WQuality) && (ERRMAX < 0.8*EROLD)) iprog++;
if ((EROLD > WQuality) && (ERRMAX < WQuality)) iprog++;
if ((EROLD > WQuality) && (ERRMAX < 0.99*EROLD)
&& (ERRMAX < 1.1*WQuality)) iprog++;
if ( VALCRI[0] < 0.975 * VOCRI[0]) iprog++;
if ( VALCRI[0] < 0.9 * VOCRI[0]) iprog++;
if ( VALCRI[1] < 0.95 * VOCRI[1]) iprog++;
if ( VALCRI[1] < 0.8 * VOCRI[1]) iprog++;
if ( VALCRI[2] < 0.95 * VOCRI[2]) iprog++;
if ( VALCRI[2] < 0.8 * VOCRI[2]) iprog++;
if ((VOCRI[1]>SmallestValue)&&(VOCRI[2]>SmallestValue)) {
if ((VALCRI[1]/VOCRI[1] + 2*VALCRI[2]/VOCRI[2]) < 2.8) iprog++;
}
if (iprog < 2 && NbEst == 0 ) {
// (1.5) Invalidation of new knots.
VALCRI[0] = VOCRI[0];
VALCRI[1] = VOCRI[1];
VALCRI[2] = VOCRI[2];
ERRMAX = EROLD;
CBLONG = LNOLD;
CCurrent = COld;
CurrentTi = OldTi;
goto L8000; // exit
}
VOCRI[0] = VALCRI[0];
VOCRI[1] = VALCRI[1];
VOCRI[2] = VALCRI[2];
LNOLD = CBLONG;
EROLD = ERRMAX;
CCurrent = CNew;
CurrentTi = NewTi;
// (1.6) Test if the Estimations seems OK, else repeat
NbEst++;
lestim = ( (NbEst<MaxNbEst) && (ICDANA == 2)&& (iprog > 0) );
if (lestim && isnear) {
// (1.7) Optimization of ti by ACR.
// Sort.Sort(CurrentTi->ChangeArray1(), CompReal);
SortTools_StraightInsertionSortOfReal::Sort(CurrentTi->ChangeArray1(), CompReal);
Standard_Integer Decima = 4;
CCurrent->Length(0., 1., CBLONG);
J->EstLength() = CBLONG;
ACR(CCurrent, CurrentTi->ChangeArray1(), Decima);
lconst = Standard_True;
}
}
// (2) loop of parametric / geometric optimization
Iter = 1;
ToOptim = ((Iter < myNbIterations) && (isnear));
while(ToOptim) {
Iter++;
// (2.1) Save curent results
VOCRI[0] = VALCRI[0];
VOCRI[1] = VALCRI[1];
VOCRI[2] = VALCRI[2];
EROLD = ERRMAX;
LNOLD = CBLONG;
COld = CCurrent;
OldTi->ChangeArray1() = CurrentTi->Array1();
// (2.2) Optimization des ti by ACR.
// Sort.Sort(CurrentTi->ChangeArray1(), CompReal);
SortTools_StraightInsertionSortOfReal::Sort(CurrentTi->ChangeArray1(), CompReal);
Standard_Integer Decima = 4;
CCurrent->Length(0., 1., CBLONG);
J->EstLength() = CBLONG;
ACR(CCurrent, CurrentTi->ChangeArray1(), Decima);
lconst = Standard_True;
// (2.3) Optimisation des courbes
EpsLength = SmallValue * CBLONG / NbrPnt;
CNew = new (FEmTool_Curve) (CCurrent->Dimension(),
CCurrent->NbElements(), CCurrent->Base(), EpsLength);
CNew->Knots() = CCurrent->Knots();
J->SetParameters(CurrentTi);
EpsDeg = Min(WQuality * .1, CBLONG * .001);
Optimization(J, *TheAssembly, lconst, EpsDeg, CNew, CurrentTi->Array1());
CCurrent = CNew;
// (2.4) calcul des criteres de qualites et amelioration
// des estimation.
ICDANA = J->QualityValues(J1min, J2min, J3min, VALCRI[0], VALCRI[1], VALCRI[2]);
if(ICDANA > 0) lconst = Standard_True;
J->GetEstimation(e1, e2, e3);
// (2.5) Optimisation des ti par proj orthogonale
NewTi = new (TColStd_HArray1OfReal) (1, CurrentTi->Length());
Project(CCurrent, CurrentTi->Array1(),
NewTi->ChangeArray1(),
Ecarts, NumPnt,
ERRMAX, ERRQUA, ERRMOY, 2);
// (2.6) Test de non regression
Standard_Integer iregre = 0;
if (NbrConstraint < NbrPnt) {
if ( (ERRMAX > WQuality) && (ERRMAX > 1.05*EROLD)) iregre++;
if ( (ERRMAX > WQuality) && (ERRMAX > 2*EROLD)) iregre++;
if ( (EROLD > WQuality) && (ERRMAX <= 0.5*EROLD)) iregre--;
}
Standard_Real E1, E2, E3;
J->GetEstimation(E1, E2, E3);
if ( (VALCRI[0] > E1) && (VALCRI[0] > 1.1*VOCRI[0])) iregre++;
if ( (VALCRI[1] > E2) && (VALCRI[1] > 1.1*VOCRI[1])) iregre++;
if ( (VALCRI[2] > E3) && (VALCRI[2] > 1.1*VOCRI[2])) iregre++;
if (iregre >= 2) {
// if (iregre >= 1) {
// (2.7) on restaure l'iteration precedente
VALCRI[0] = VOCRI[0];
VALCRI[1] = VOCRI[1];
VALCRI[2] = VOCRI[2];
ERRMAX = EROLD;
CBLONG = LNOLD;
CCurrent = COld;
CurrentTi->ChangeArray1() = OldTi->Array1();
ToOptim = Standard_False;
}
else { // Iteration is Ok.
CCurrent = CNew;
CurrentTi = NewTi;
}
if (Iter >= myNbIterations) ToOptim = Standard_False;
}
// (3) Decoupe eventuelle
if ( (CCurrent->NbElements() < myMaxSegment) && myWithCutting ) {
// (3.1) Sauvgarde de l'etat precedent
VOCRI[0] = VALCRI[0];
VOCRI[1] = VALCRI[1];
VOCRI[2] = VALCRI[2];
EROLD = ERRMAX;
COld = CCurrent;
OldTi->ChangeArray1() = CurrentTi->Array1();
// (3.2) On arrange les ti : Trie + recadrage sur (0,1)
// ---> On trie, afin d'assurer l'ordre par la suite.
// Sort.Sort(CurrentTi->ChangeArray1(), CompReal);
SortTools_StraightInsertionSortOfReal::Sort(CurrentTi->ChangeArray1(), CompReal);
if ((CurrentTi->Value(1)!= 0.) ||
(CurrentTi->Value(NbrPnt)!= 1.)) {
Standard_Real t, DelatT =
1.0 /(CurrentTi->Value(NbrPnt)-CurrentTi->Value(1));
for (Standard_Integer ii=2; ii<NbrPnt; ii++) {
t = (CurrentTi->Value(ii)-CurrentTi->Value(1))*DelatT;
CurrentTi->SetValue(ii, t);
}
CurrentTi->SetValue(1, 0.);
CurrentTi->SetValue(NbrPnt, 1.);
}
// (3.3) Insert new Knots
SplitCurve(CCurrent, CurrentTi->Array1(), EpsLength, CNew, iscut);
if (!iscut) again = Standard_False;
else {
CCurrent = CNew;
// New Knots => New Assembly.
J->SetCurve(CNew);
delete TheAssembly;
TheAssembly = new FEmTool_Assembly (Dependence->Array2(),
J->AssemblyTable());
}
}
else { again = Standard_False;}
}
// ================ Great loop end ===================
L8000:
// (4) Compute the best Error.
NewTi = new (TColStd_HArray1OfReal) (1, CurrentTi->Length());
Project(CCurrent, CurrentTi->Array1(),
NewTi->ChangeArray1(),
Ecarts, NumPnt,
ERRMAX, ERRQUA, ERRMOY, 10);
// (5) field's update
TheCurve = CCurrent;
J->EstLength() = CBLONG;
myParameters->ChangeArray1() = NewTi->Array1();
myCriterium[0] = ERRQUA;
myCriterium[1] = Sqrt(VALCRI[0]);
myCriterium[2] = Sqrt(VALCRI[1]);
myCriterium[3] = Sqrt(VALCRI[2]);
myMaxError = ERRMAX;
myMaxErrorIndex = NumPnt;
if(NbrPnt > NbrConstraint)
myAverageError = ERRMOY / (NbrPnt - NbrConstraint);
else
myAverageError = ERRMOY / NbrConstraint;
delete TheAssembly;
}