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occt/src/AppParCurves/AppParCurves_Projection.gxx
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// Copyright (c) 1995-1999 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.
// lpa, le 11/09/91
#define No_Standard_RangeError
#define No_Standard_OutOfRange
#include <AppParCurves_Constraint.hxx>
#include <StdFail_NotDone.hxx>
#include <AppParCurves_MultiPoint.hxx>
#include <gp_Pnt.hxx>
#include <gp_Pnt2d.hxx>
#include <gp_Vec.hxx>
#include <gp_Vec2d.hxx>
#include <TColgp_Array1OfPnt.hxx>
#include <TColgp_Array1OfPnt2d.hxx>
#include <TColgp_Array1OfVec.hxx>
#include <TColgp_Array1OfVec2d.hxx>
#include <PLib.hxx>
#include <BSplCLib.hxx>
AppParCurves_Projection::
AppParCurves_Projection(const MultiLine& SSP,
const Standard_Integer FirstPoint,
const Standard_Integer LastPoint,
const Handle(AppParCurves_HArray1OfConstraintCouple)& TheConstraints,
math_Vector& Parameters,
const Standard_Integer Deg,
const Standard_Real Tol3d,
const Standard_Real Tol2d,
const Standard_Integer NbIterations):
ParError(FirstPoint, LastPoint,0.0) {
Standard_Boolean grad = Standard_True;
Standard_Integer i, j, k, i2, l;
Standard_Real UF, DU, Fval = 0.0, FU, DFU;
Standard_Real MErr3d=0.0, MErr2d=0.0,
Gain3d = Tol3d, Gain2d=Tol2d;
Standard_Real EC, ECmax = 1.e10, Errsov3d, Errsov2d;
Standard_Integer nbP3d = ToolLine::NbP3d(SSP);
Standard_Integer nbP2d = ToolLine::NbP2d(SSP);
Standard_Integer mynbP3d=nbP3d, mynbP2d=nbP2d;
Standard_Integer nbP = nbP3d + nbP2d;
gp_Pnt Pt, P1, P2;
gp_Pnt2d Pt2d, P12d, P22d;
gp_Vec V1, V2, MyV;
gp_Vec2d V12d, V22d, MyV2d;
if (nbP3d == 0) mynbP3d = 1;
if (nbP2d == 0) mynbP2d = 1;
TColgp_Array1OfPnt TabP(1, mynbP3d);
TColgp_Array1OfPnt2d TabP2d(1, mynbP2d);
TColgp_Array1OfVec TabV(1, mynbP3d);
TColgp_Array1OfVec2d TabV2d(1, mynbP2d);
// Calcul de la fonction F= somme(||C(ui)-Ptli||2):
// Appel a une fonction heritant de MultipleVarFunctionWithGradient
// pour calculer F et grad_F.
// ================================================================
AppParCurves_ProFunction MyF(SSP, FirstPoint,LastPoint, TheConstraints, Parameters, Deg);
ECmax = 0.0;
// Projection:
// ===========
MyF.Value(Parameters, Fval);
SCU = MyF.CurveValue();
Standard_Integer deg = SCU.Degree();
TColgp_Array1OfPnt TabPole(1, deg+1), TabCoef(1, deg+1);
TColgp_Array1OfPnt2d TabPole2d(1, deg+1), TabCoef2d(1, deg+1);
TColgp_Array1OfPnt TheCoef(1, (deg+1)*mynbP3d);
TColgp_Array1OfPnt2d TheCoef2d(1, (deg+1)*mynbP2d);
for (i = 1; i <= NbIterations; i++) {
// Stockage des Poles des courbes:
// ===============================
i2 = 0;
for (k = 1; k <= nbP3d; k++) {
SCU.Curve(k, TabPole);
BSplCLib::PolesCoefficients(TabPole, PLib::NoWeights(),
TabCoef, PLib::NoWeights());
for (j=1; j<=deg+1; j++) TheCoef(j+i2) = TabCoef(j);
i2 += deg+1;
}
i2 = 0;
for (k = 1; k <= nbP2d; k++) {
SCU.Curve(nbP3d+k, TabPole2d);
BSplCLib::PolesCoefficients(TabPole2d, PLib::NoWeights(),
TabCoef2d, PLib::NoWeights());
for (j=1; j<=deg+1; j++) TheCoef2d(j+i2) = TabCoef2d(j);
i2 += deg+1;
}
for (j = FirstPoint+1; j <= LastPoint-1; j++) {
UF = Parameters(j);
if (nbP != 0 && nbP2d != 0) ToolLine::Value(SSP, j, TabP, TabP2d);
else if (nbP2d != 0) ToolLine::Value(SSP, j, TabP2d);
else ToolLine::Value(SSP, j, TabP);
FU = 0.0;
DFU = 0.0;
i2 = 0;
for (k = 1; k <= nbP3d; k++) {
for (l=1; l<=deg+1; l++) TabCoef(l) = TheCoef(l+i2);
i2 += deg+1;
BSplCLib::CoefsD2(UF, TabCoef, PLib::NoWeights(), Pt, V1, V2);
MyV = gp_Vec(Pt, TabP(k));
FU += MyV*V1;
DFU += V1.SquareMagnitude() + MyV*V2;
}
i2 = 0;
for (k = 1; k <= nbP2d; k++) {
for (l=1; l<=deg+1; l++) TabCoef2d(l) = TheCoef2d(l+i2);
i2 += deg+1;
BSplCLib::CoefsD2(UF, TabCoef2d, PLib::NoWeights(), Pt2d, V12d, V22d);
MyV2d = gp_Vec2d(Pt2d, TabP2d(k));
FU += MyV2d*V12d;
DFU += V12d.SquareMagnitude() + MyV2d*V22d;
}
if (DFU <= RealEpsilon()) {
// Verification du parametrage:
EC = Abs(Parameters(j) - UF);
if (EC > ECmax) ECmax = EC;
break;
}
DU = -FU/DFU;
DU = Sign(Min(5.e-02, Abs(DU)), DU);
UF += DU;
Parameters(j) = UF;
}
// Test de progression:
// ====================
Errsov3d = MErr3d;
Errsov2d = MErr2d;
MyF.Value(Parameters, Fval);
SCU = MyF.CurveValue();
MErr3d = MyF.MaxError3d();
MErr2d = MyF.MaxError2d();
if (MErr3d< Tol3d && MErr2d < Tol2d) {
Done = Standard_True;
break;
}
if (MErr3d > 100.0*Tol3d || MErr2d > 100.0*Tol2d) {
Done = Standard_False;
grad = Standard_False;
break;
}
if (i >= 2) {
Gain3d = Abs(Errsov3d-MErr3d);
Gain2d = Abs(Errsov2d-MErr2d);
if ((MErr3d-Gain3d*(NbIterations-i)*0.5) > Tol3d ||
(MErr2d-Gain2d*(NbIterations-i)*0.5) > Tol2d) {
if (Gain3d < Tol3d/(2*NbIterations) &&
Gain2d < Tol2d/(2*NbIterations)) {
break;
}
}
}
}
AvError = 0.;
for (j = FirstPoint; j <= LastPoint; j++) {
// Recherche des erreurs maxi et moyenne a un index donne:
for (k = 1; k <= nbP; k++) {
ParError(j) = Max(ParError(j), MyF.Error(j, k));
}
AvError += ParError(j);
}
AvError = AvError/(LastPoint-FirstPoint+1);
MError3d = MyF.MaxError3d();
MError2d = MyF.MaxError2d();
if (MError3d < Tol3d && MError2d < Tol2d) {
Done = Standard_True;
}
}
AppParCurves_MultiCurve AppParCurves_Projection::Value() const {
return SCU;
}
Standard_Boolean AppParCurves_Projection::IsDone() const {
return Done;
}
Standard_Real AppParCurves_Projection::Error(const Standard_Integer Index) const {
return ParError(Index);
}
Standard_Real AppParCurves_Projection::AverageError() const {
return AvError;
}
Standard_Real AppParCurves_Projection::MaxError3d() const {
return MError3d;
}
Standard_Real AppParCurves_Projection::MaxError2d() const {
return MError2d;
}