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// Created on: 1993-12-15
// Created by: Remi LEQUETTE
// Copyright (c) 1993-1999 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.
// pmn 26/09/97 Add parameters of approximation in BuildCurve3d
// Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898
#include <BRepLib.hxx>
#include <AdvApprox_ApproxAFunction.hxx>
#include <AppParCurves_MultiBSpCurve.hxx>
#include <Approx_CurvilinearParameter.hxx>
#include <Approx_SameParameter.hxx>
#include <BRep_Builder.hxx>
#include <BRep_GCurve.hxx>
#include <BRepCheck.hxx>
#include <BRep_TEdge.hxx>
#include <BRep_Tool.hxx>
#include <BRep_TVertex.hxx>
#include <BRepAdaptor_Curve.hxx>
#include <BRepBndLib.hxx>
#include <BRepClass3d_SolidClassifier.hxx>
#include <BRepLib_MakeFace.hxx>
#include <BSplCLib.hxx>
#include <ElSLib.hxx>
#include <Extrema_LocateExtPC.hxx>
#include <GCPnts_QuasiUniformDeflection.hxx>
#include <Geom2d_Curve.hxx>
#include <Geom2dAdaptor.hxx>
#include <Geom2dAdaptor_Curve.hxx>
#include <Geom2dConvert.hxx>
#include <Geom_BSplineSurface.hxx>
#include <Geom_Curve.hxx>
#include <Geom_Plane.hxx>
#include <Geom_RectangularTrimmedSurface.hxx>
#include <Geom_Surface.hxx>
#include <Geom_TrimmedCurve.hxx>
#include <GeomAdaptor_Curve.hxx>
#include <GeomAdaptor_Surface.hxx>
#include <GeomLib.hxx>
#include <GeomLProp_SLProps.hxx>
#include <gp.hxx>
#include <gp_Ax2.hxx>
#include <gp_Pln.hxx>
#include <Poly_PolygonOnTriangulation.hxx>
#include <Poly_Triangulation.hxx>
#include <Precision.hxx>
#include <ProjLib_ProjectedCurve.hxx>
#include <Standard_ErrorHandler.hxx>
#include <Standard_Real.hxx>
#include <TColgp_Array1OfPnt2d.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <TColStd_MapOfTransient.hxx>
#include <TopExp_Explorer.hxx>
#include <TopoDS.hxx>
#include <TopoDS_Edge.hxx>
#include <TopoDS_Face.hxx>
#include <TopoDS_Shape.hxx>
#include <TopoDS_Solid.hxx>
#include <TopoDS_Vertex.hxx>
#include <TColgp_Array1OfXY.hxx>
#include <BRepTools_ReShape.hxx>
#include <TopTools_DataMapOfShapeReal.hxx>
#include <TopoDS_LockedShape.hxx>
#include <Standard_HashUtils.hxx>
#include <algorithm>
// TODO - not thread-safe static variables
static Standard_Real thePrecision = Precision::Confusion();
static Handle(Geom_Plane) thePlane;
static void InternalUpdateTolerances(const TopoDS_Shape& theOldShape,
const Standard_Boolean IsVerifyTolerance,
const Standard_Boolean IsMutableInput,
BRepTools_ReShape& theReshaper);
//=======================================================================
// function: BRepLib_ComparePoints
// purpose: implementation of IsLess() function for two points
//=======================================================================
struct BRepLib_ComparePoints
{
bool operator()(const gp_Pnt& theP1, const gp_Pnt& theP2)
{
for (Standard_Integer i = 1; i <= 3; ++i)
{
if (theP1.Coord(i) < theP2.Coord(i))
{
return Standard_True;
}
else if (theP1.Coord(i) > theP2.Coord(i))
{
return Standard_False;
}
}
return Standard_False;
}
};
//=================================================================================================
void BRepLib::Precision(const Standard_Real P)
{
thePrecision = P;
}
//=================================================================================================
Standard_Real BRepLib::Precision()
{
return thePrecision;
}
//=================================================================================================
void BRepLib::Plane(const Handle(Geom_Plane)& P)
{
thePlane = P;
}
//=================================================================================================
const Handle(Geom_Plane)& BRepLib::Plane()
{
if (thePlane.IsNull())
thePlane = new Geom_Plane(gp::XOY());
return thePlane;
}
//=================================================================================================
Standard_Boolean BRepLib::CheckSameRange(const TopoDS_Edge& AnEdge, const Standard_Real Tolerance)
{
Standard_Boolean IsSameRange = Standard_True, first_time_in = Standard_True;
BRep_ListIteratorOfListOfCurveRepresentation an_Iterator(
(*((Handle(BRep_TEdge)*)&AnEdge.TShape()))->ChangeCurves());
Standard_Real first, last;
Standard_Real current_first = 0., current_last = 0.;
Handle(BRep_GCurve) geometric_representation_ptr;
while (IsSameRange && an_Iterator.More())
{
geometric_representation_ptr = Handle(BRep_GCurve)::DownCast(an_Iterator.Value());
if (!geometric_representation_ptr.IsNull())
{
first = geometric_representation_ptr->First();
last = geometric_representation_ptr->Last();
if (first_time_in)
{
current_first = first;
current_last = last;
first_time_in = Standard_False;
}
else
{
IsSameRange =
(Abs(current_first - first) <= Tolerance) && (Abs(current_last - last) <= Tolerance);
}
}
an_Iterator.Next();
}
return IsSameRange;
}
//=================================================================================================
void BRepLib::SameRange(const TopoDS_Edge& AnEdge, const Standard_Real Tolerance)
{
BRep_ListIteratorOfListOfCurveRepresentation an_Iterator(
(*((Handle(BRep_TEdge)*)&AnEdge.TShape()))->ChangeCurves());
Handle(Geom2d_Curve) Curve2dPtr, Curve2dPtr2, NewCurve2dPtr, NewCurve2dPtr2;
TopLoc_Location LocalLoc;
Standard_Boolean first_time_in = Standard_True, has_curve, has_closed_curve;
Handle(BRep_GCurve) geometric_representation_ptr;
Standard_Real first, current_first, last, current_last;
const Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge, LocalLoc, current_first, current_last);
if (!C.IsNull())
{
first_time_in = Standard_False;
}
while (an_Iterator.More())
{
geometric_representation_ptr = Handle(BRep_GCurve)::DownCast(an_Iterator.Value());
if (!geometric_representation_ptr.IsNull())
{
has_closed_curve = has_curve = Standard_False;
first = geometric_representation_ptr->First();
last = geometric_representation_ptr->Last();
if (geometric_representation_ptr->IsCurveOnSurface())
{
Curve2dPtr = geometric_representation_ptr->PCurve();
has_curve = Standard_True;
}
if (geometric_representation_ptr->IsCurveOnClosedSurface())
{
Curve2dPtr2 = geometric_representation_ptr->PCurve2();
has_closed_curve = Standard_True;
}
if (has_curve || has_closed_curve)
{
if (first_time_in)
{
current_first = first;
current_last = last;
first_time_in = Standard_False;
}
if (Abs(first - current_first) > Precision::Confusion()
|| Abs(last - current_last) > Precision::Confusion())
{
if (has_curve)
{
GeomLib::SameRange(Tolerance,
Curve2dPtr,
geometric_representation_ptr->First(),
geometric_representation_ptr->Last(),
current_first,
current_last,
NewCurve2dPtr);
geometric_representation_ptr->PCurve(NewCurve2dPtr);
}
if (has_closed_curve)
{
GeomLib::SameRange(Tolerance,
Curve2dPtr2,
geometric_representation_ptr->First(),
geometric_representation_ptr->Last(),
current_first,
current_last,
NewCurve2dPtr2);
geometric_representation_ptr->PCurve2(NewCurve2dPtr2);
}
}
}
}
an_Iterator.Next();
}
BRep_Builder B;
B.Range(TopoDS::Edge(AnEdge), current_first, current_last);
B.SameRange(AnEdge, Standard_True);
}
//=======================================================================
// function : EvaluateMaxSegment
// purpose : return MaxSegment to pass in approximation, if MaxSegment==0 provided
//=======================================================================
static Standard_Integer evaluateMaxSegment(const Standard_Integer aMaxSegment,
const Adaptor3d_CurveOnSurface& aCurveOnSurface)
{
if (aMaxSegment != 0)
return aMaxSegment;
const Handle(Adaptor3d_Surface)& aSurf = aCurveOnSurface.GetSurface();
const Handle(Adaptor2d_Curve2d)& aCurv2d = aCurveOnSurface.GetCurve();
Standard_Real aNbSKnots = 0, aNbC2dKnots = 0;
if (aSurf->GetType() == GeomAbs_BSplineSurface)
{
Handle(Geom_BSplineSurface) aBSpline = aSurf->BSpline();
aNbSKnots = Max(aBSpline->NbUKnots(), aBSpline->NbVKnots());
}
if (aCurv2d->GetType() == GeomAbs_BSplineCurve)
{
aNbC2dKnots = aCurv2d->NbKnots();
}
Standard_Integer aReturn = (Standard_Integer)(30 + Max(aNbSKnots, aNbC2dKnots));
return aReturn;
}
//=================================================================================================
Standard_Boolean BRepLib::BuildCurve3d(const TopoDS_Edge& AnEdge,
const Standard_Real Tolerance,
const GeomAbs_Shape Continuity,
const Standard_Integer MaxDegree,
const Standard_Integer MaxSegment)
{
Standard_Integer // ErrorCode,
// ReturnCode = 0,
ii,
// num_knots,
jj;
TopLoc_Location LocalLoc, L[2], LC;
Standard_Real f, l, fc, lc, first[2], last[2], tolerance, max_deviation, average_deviation;
Handle(Geom2d_Curve) Curve2dPtr, Curve2dArray[2];
Handle(Geom_Surface) SurfacePtr, SurfaceArray[2];
Standard_Integer not_done;
// if the edge has a 3d curve returns true
const Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge, LocalLoc, f, l);
if (!C.IsNull())
return Standard_True;
//
// this should not exists but UpdateEdge makes funny things
// if the edge is not same range
//
if (!CheckSameRange(AnEdge, Precision::Confusion()))
{
SameRange(AnEdge, Tolerance);
}
// search a curve on a plane
Handle(Geom_Surface) S;
Handle(Geom2d_Curve) PC;
Standard_Integer i = 0;
Handle(Geom_Plane) P;
not_done = 1;
while (not_done)
{
i++;
BRep_Tool::CurveOnSurface(AnEdge, PC, S, LocalLoc, f, l, i);
Handle(Geom_RectangularTrimmedSurface) RT = Handle(Geom_RectangularTrimmedSurface)::DownCast(S);
if (RT.IsNull())
{
P = Handle(Geom_Plane)::DownCast(S);
}
else
{
P = Handle(Geom_Plane)::DownCast(RT->BasisSurface());
}
not_done = !(S.IsNull() || !P.IsNull());
}
if (!P.IsNull())
{
// compute the 3d curve
gp_Ax2 axes = P->Position().Ax2();
Handle(Geom_Curve) C3d = GeomLib::To3d(axes, PC);
if (C3d.IsNull())
return Standard_False;
// update the edge
Standard_Real First, Last;
BRep_Builder B;
B.UpdateEdge(AnEdge, C3d, LocalLoc, 0.0e0);
BRep_Tool::Range(AnEdge, S, LC, First, Last);
B.Range(AnEdge, First, Last); // Do not forget 3D range.(PRO6412)
}
else
{
//
// compute the 3d curve using existing surface
//
fc = f;
lc = l;
if (!BRep_Tool::Degenerated(AnEdge))
{
jj = 0;
for (ii = 0; ii < 3; ii++)
{
BRep_Tool::CurveOnSurface(TopoDS::Edge(AnEdge),
Curve2dPtr,
SurfacePtr,
LocalLoc,
fc,
lc,
ii);
if (!Curve2dPtr.IsNull() && jj < 2)
{
Curve2dArray[jj] = Curve2dPtr;
SurfaceArray[jj] = SurfacePtr;
L[jj] = LocalLoc;
first[jj] = fc;
last[jj] = lc;
jj += 1;
}
}
f = first[0];
l = last[0];
Curve2dPtr = Curve2dArray[0];
SurfacePtr = SurfaceArray[0];
Geom2dAdaptor_Curve AnAdaptor3dCurve2d(Curve2dPtr, f, l);
GeomAdaptor_Surface AnAdaptor3dSurface(SurfacePtr);
Handle(Geom2dAdaptor_Curve) AnAdaptor3dCurve2dPtr =
new Geom2dAdaptor_Curve(AnAdaptor3dCurve2d);
Handle(GeomAdaptor_Surface) AnAdaptor3dSurfacePtr =
new GeomAdaptor_Surface(AnAdaptor3dSurface);
Adaptor3d_CurveOnSurface CurveOnSurface(AnAdaptor3dCurve2dPtr, AnAdaptor3dSurfacePtr);
Handle(Geom_Curve) NewCurvePtr;
GeomLib::BuildCurve3d(Tolerance,
CurveOnSurface,
f,
l,
NewCurvePtr,
max_deviation,
average_deviation,
Continuity,
MaxDegree,
evaluateMaxSegment(MaxSegment, CurveOnSurface));
BRep_Builder B;
tolerance = BRep_Tool::Tolerance(AnEdge);
// Patch
// max_deviation = Max(tolerance, max_deviation) ;
max_deviation = Max(tolerance, Tolerance);
if (NewCurvePtr.IsNull())
return Standard_False;
B.UpdateEdge(TopoDS::Edge(AnEdge), NewCurvePtr, L[0], max_deviation);
if (jj == 1)
{
//
// if there is only one curve on surface attached to the edge
// than it can be qualified sameparameter
//
B.SameParameter(TopoDS::Edge(AnEdge), Standard_True);
}
}
else
{
return Standard_False;
}
}
return Standard_True;
}
//=================================================================================================
Standard_Boolean BRepLib::BuildCurves3d(const TopoDS_Shape& S)
{
return BRepLib::BuildCurves3d(S, 1.0e-5);
}
//=================================================================================================
Standard_Boolean BRepLib::BuildCurves3d(const TopoDS_Shape& S,
const Standard_Real Tolerance,
const GeomAbs_Shape Continuity,
const Standard_Integer MaxDegree,
const Standard_Integer MaxSegment)
{
Standard_Boolean boolean_value, ok = Standard_True;
TopTools_MapOfShape a_counter;
TopExp_Explorer ex(S, TopAbs_EDGE);
while (ex.More())
{
if (a_counter.Add(ex.Current()))
{
boolean_value =
BuildCurve3d(TopoDS::Edge(ex.Current()), Tolerance, Continuity, MaxDegree, MaxSegment);
ok = ok && boolean_value;
}
ex.Next();
}
return ok;
}
//=================================================================================================
Standard_Boolean BRepLib::UpdateEdgeTol(const TopoDS_Edge& AnEdge,
const Standard_Real MinToleranceRequested,
const Standard_Real MaxToleranceToCheck)
{
Standard_Integer curve_on_surface_index, curve_index, not_done, has_closed_curve, has_curve, jj,
ii, geom_reference_curve_flag = 0, max_sampling_points = 90, min_sampling_points = 30;
Standard_Real factor = 100.0e0,
// sampling_array[2],
safe_factor = 1.4e0, current_last, current_first, max_distance, coded_edge_tolerance,
edge_tolerance = 0.0e0;
Handle(TColStd_HArray1OfReal) parameters_ptr;
Handle(BRep_GCurve) geometric_representation_ptr;
if (BRep_Tool::Degenerated(AnEdge))
return Standard_False;
coded_edge_tolerance = BRep_Tool::Tolerance(AnEdge);
if (coded_edge_tolerance > MaxToleranceToCheck)
return Standard_False;
const Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*)&AnEdge.TShape());
BRep_ListOfCurveRepresentation& list_curve_rep = TE->ChangeCurves();
BRep_ListIteratorOfListOfCurveRepresentation an_iterator(list_curve_rep),
second_iterator(list_curve_rep);
Handle(Geom2d_Curve) curve2d_ptr, new_curve2d_ptr;
Handle(Geom_Surface) surface_ptr;
TopLoc_Location local_location;
GCPnts_QuasiUniformDeflection a_sampler;
GeomAdaptor_Curve geom_reference_curve;
Adaptor3d_CurveOnSurface curve_on_surface_reference;
Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge, local_location, current_first, current_last);
curve_on_surface_index = -1;
if (!C.IsNull())
{
if (!local_location.IsIdentity())
{
C = Handle(Geom_Curve)::DownCast(C->Transformed(local_location.Transformation()));
}
geom_reference_curve.Load(C);
geom_reference_curve_flag = 1;
a_sampler.Initialize(geom_reference_curve,
MinToleranceRequested * factor,
current_first,
current_last);
}
else
{
not_done = 1;
curve_on_surface_index = 0;
while (not_done && an_iterator.More())
{
geometric_representation_ptr = Handle(BRep_GCurve)::DownCast(second_iterator.Value());
if (!geometric_representation_ptr.IsNull()
&& geometric_representation_ptr->IsCurveOnSurface())
{
curve2d_ptr = geometric_representation_ptr->PCurve();
local_location = geometric_representation_ptr->Location();
current_first = geometric_representation_ptr->First();
// first = geometric_representation_ptr->First();
current_last = geometric_representation_ptr->Last();
// must be inverted
//
if (!local_location.IsIdentity())
{
surface_ptr = Handle(Geom_Surface)::DownCast(
geometric_representation_ptr->Surface()->Transformed(local_location.Transformation()));
}
else
{
surface_ptr = geometric_representation_ptr->Surface();
}
not_done = 0;
}
curve_on_surface_index += 1;
}
Geom2dAdaptor_Curve AnAdaptor3dCurve2d(curve2d_ptr);
GeomAdaptor_Surface AnAdaptor3dSurface(surface_ptr);
Handle(Geom2dAdaptor_Curve) AnAdaptor3dCurve2dPtr = new Geom2dAdaptor_Curve(AnAdaptor3dCurve2d);
Handle(GeomAdaptor_Surface) AnAdaptor3dSurfacePtr = new GeomAdaptor_Surface(AnAdaptor3dSurface);
curve_on_surface_reference.Load(AnAdaptor3dCurve2dPtr, AnAdaptor3dSurfacePtr);
a_sampler.Initialize(curve_on_surface_reference,
MinToleranceRequested * factor,
current_first,
current_last);
}
TColStd_Array1OfReal sampling_parameters(1, a_sampler.NbPoints());
for (ii = 1; ii <= a_sampler.NbPoints(); ii++)
{
sampling_parameters(ii) = a_sampler.Parameter(ii);
}
if (a_sampler.NbPoints() < min_sampling_points)
{
GeomLib::DensifyArray1OfReal(min_sampling_points, sampling_parameters, parameters_ptr);
}
else if (a_sampler.NbPoints() > max_sampling_points)
{
GeomLib::RemovePointsFromArray(max_sampling_points, sampling_parameters, parameters_ptr);
}
else
{
jj = 1;
parameters_ptr = new TColStd_HArray1OfReal(1, sampling_parameters.Length());
for (ii = sampling_parameters.Lower(); ii <= sampling_parameters.Upper(); ii++)
{
parameters_ptr->ChangeArray1()(jj) = sampling_parameters(ii);
jj += 1;
}
}
curve_index = 0;
while (second_iterator.More())
{
geometric_representation_ptr = Handle(BRep_GCurve)::DownCast(second_iterator.Value());
if (!geometric_representation_ptr.IsNull() && curve_index != curve_on_surface_index)
{
has_closed_curve = has_curve = Standard_False;
// first = geometric_representation_ptr->First();
// last = geometric_representation_ptr->Last();
local_location = geometric_representation_ptr->Location();
if (geometric_representation_ptr->IsCurveOnSurface())
{
curve2d_ptr = geometric_representation_ptr->PCurve();
has_curve = Standard_True;
}
if (geometric_representation_ptr->IsCurveOnClosedSurface())
{
curve2d_ptr = geometric_representation_ptr->PCurve2();
has_closed_curve = Standard_True;
}
if (has_curve || has_closed_curve)
{
if (!local_location.IsIdentity())
{
surface_ptr = Handle(Geom_Surface)::DownCast(
geometric_representation_ptr->Surface()->Transformed(local_location.Transformation()));
}
else
{
surface_ptr = geometric_representation_ptr->Surface();
}
Geom2dAdaptor_Curve an_adaptor_curve2d(curve2d_ptr);
GeomAdaptor_Surface an_adaptor_surface(surface_ptr);
Handle(Geom2dAdaptor_Curve) an_adaptor_curve2d_ptr =
new Geom2dAdaptor_Curve(an_adaptor_curve2d);
Handle(GeomAdaptor_Surface) an_adaptor_surface_ptr =
new GeomAdaptor_Surface(an_adaptor_surface);
Adaptor3d_CurveOnSurface a_curve_on_surface(an_adaptor_curve2d_ptr, an_adaptor_surface_ptr);
if (BRep_Tool::SameParameter(AnEdge))
{
GeomLib::EvalMaxParametricDistance(a_curve_on_surface,
geom_reference_curve,
MinToleranceRequested,
parameters_ptr->Array1(),
max_distance);
}
else if (geom_reference_curve_flag)
{
GeomLib::EvalMaxDistanceAlongParameter(a_curve_on_surface,
geom_reference_curve,
MinToleranceRequested,
parameters_ptr->Array1(),
max_distance);
}
else
{
GeomLib::EvalMaxDistanceAlongParameter(a_curve_on_surface,
curve_on_surface_reference,
MinToleranceRequested,
parameters_ptr->Array1(),
max_distance);
}
max_distance *= safe_factor;
edge_tolerance = Max(max_distance, edge_tolerance);
}
}
curve_index += 1;
second_iterator.Next();
}
TE->Tolerance(edge_tolerance);
return Standard_True;
}
//=================================================================================================
Standard_Boolean BRepLib::UpdateEdgeTolerance(const TopoDS_Shape& S,
const Standard_Real MinToleranceRequested,
const Standard_Real MaxToleranceToCheck)
{
TopExp_Explorer ex(S, TopAbs_EDGE);
TopTools_MapOfShape a_counter;
Standard_Boolean return_status = Standard_False, local_flag;
while (ex.More())
{
if (a_counter.Add(ex.Current()))
{
local_flag = BRepLib::UpdateEdgeTol(TopoDS::Edge(ex.Current()),
MinToleranceRequested,
MaxToleranceToCheck);
if (local_flag && !return_status)
{
return_status = Standard_True;
}
}
ex.Next();
}
return return_status;
}
//=================================================================================================
static void GetEdgeTol(const TopoDS_Edge& theEdge,
const TopoDS_Face& theFace,
Standard_Real& theEdTol)
{
TopLoc_Location L;
const Handle(Geom_Surface)& S = BRep_Tool::Surface(theFace, L);
TopLoc_Location l = L.Predivided(theEdge.Location());
const Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*)&theEdge.TShape());
BRep_ListIteratorOfListOfCurveRepresentation itcr(TE->Curves());
while (itcr.More())
{
const Handle(BRep_CurveRepresentation)& cr = itcr.Value();
if (cr->IsCurveOnSurface(S, l))
return;
itcr.Next();
}
Handle(Geom_Plane) GP;
Handle(Geom_RectangularTrimmedSurface) GRTS;
GRTS = Handle(Geom_RectangularTrimmedSurface)::DownCast(S);
if (!GRTS.IsNull())
GP = Handle(Geom_Plane)::DownCast(GRTS->BasisSurface());
else
GP = Handle(Geom_Plane)::DownCast(S);
Handle(GeomAdaptor_Curve) HC = new GeomAdaptor_Curve();
Handle(GeomAdaptor_Surface) HS = new GeomAdaptor_Surface();
TopLoc_Location LC;
Standard_Real First, Last;
HC->Load(BRep_Tool::Curve(theEdge, LC, First, Last));
LC = L.Predivided(LC);
if (!LC.IsIdentity())
{
GP = Handle(Geom_Plane)::DownCast(GP->Transformed(LC.Transformation()));
}
GeomAdaptor_Surface& GAS = *HS;
GAS.Load(GP);
ProjLib_ProjectedCurve Proj(HS, HC);
Handle(Geom2d_Curve) pc = Geom2dAdaptor::MakeCurve(Proj);
gp_Pln pln = GAS.Plane();
Standard_Real d2 = 0.;
Standard_Integer nn = 23;
Standard_Real unsurnn = 1. / nn;
for (Standard_Integer i = 0; i <= nn; i++)
{
Standard_Real t = unsurnn * i;
Standard_Real u = First * (1. - t) + Last * t;
gp_Pnt Pc3d = HC->Value(u);
gp_Pnt2d p2d = pc->Value(u);
gp_Pnt Pcons = ElSLib::Value(p2d.X(), p2d.Y(), pln);
Standard_Real eps = Max(Pc3d.XYZ().SquareModulus(), Pcons.XYZ().SquareModulus());
eps = Epsilon(eps);
Standard_Real temp = Pc3d.SquareDistance(Pcons);
if (temp <= eps)
{
temp = 0.;
}
if (temp > d2)
d2 = temp;
}
d2 = 1.05 * sqrt(d2);
theEdTol = d2;
}
//=======================================================================
// function : UpdTolMap
// purpose : Update map ShToTol (shape to tolerance)
//=======================================================================
static void UpdTolMap(const TopoDS_Shape& theSh,
Standard_Real theNewTol,
TopTools_DataMapOfShapeReal& theShToTol)
{
TopAbs_ShapeEnum aSt = theSh.ShapeType();
Standard_Real aShTol;
if (aSt == TopAbs_VERTEX)
aShTol = BRep_Tool::Tolerance(TopoDS::Vertex(theSh));
else if (aSt == TopAbs_EDGE)
aShTol = BRep_Tool::Tolerance(TopoDS::Edge(theSh));
else
return;
//
if (theNewTol > aShTol)
{
const Standard_Real* anOldtol = theShToTol.Seek(theSh);
if (!anOldtol)
theShToTol.Bind(theSh, theNewTol);
else
theShToTol(theSh) = Max(*anOldtol, theNewTol);
}
}
//=======================================================================
// function : UpdShTol
// purpose : Update vertices/edges/faces according to ShToTol map (create copies of necessary)
//=======================================================================
static void UpdShTol(const TopTools_DataMapOfShapeReal& theShToTol,
const Standard_Boolean IsMutableInput,
BRepTools_ReShape& theReshaper,
Standard_Boolean theVForceUpdate)
{
BRep_Builder aB;
TopTools_DataMapIteratorOfDataMapOfShapeReal SHToTolit(theShToTol);
for (; SHToTolit.More(); SHToTolit.Next())
{
const TopoDS_Shape& aSh = SHToTolit.Key();
Standard_Real aTol = SHToTolit.Value();
//
TopoDS_Shape aNsh;
const TopoDS_Shape& aVsh = theReshaper.Value(aSh);
Standard_Boolean UseOldSh = IsMutableInput || theReshaper.IsNewShape(aSh) || !aVsh.IsSame(aSh);
if (UseOldSh)
aNsh = aVsh;
else
{
aNsh = aSh.EmptyCopied();
// add subshapes from the original shape
TopoDS_Iterator sit(aSh);
for (; sit.More(); sit.Next())
aB.Add(aNsh, sit.Value());
//
aNsh.Free(aSh.Free());
aNsh.Checked(aSh.Checked());
aNsh.Orientable(aSh.Orientable());
aNsh.Closed(aSh.Closed());
aNsh.Infinite(aSh.Infinite());
aNsh.Convex(aSh.Convex());
//
}
//
switch (aSh.ShapeType())
{
case TopAbs_FACE: {
aB.UpdateFace(TopoDS::Face(aNsh), aTol);
break;
}
case TopAbs_EDGE: {
aB.UpdateEdge(TopoDS::Edge(aNsh), aTol);
break;
}
case TopAbs_VERTEX: {
const Handle(BRep_TVertex)& aTV = *((Handle(BRep_TVertex)*)&aNsh.TShape());
if (theVForceUpdate)
aTV->Tolerance(aTol);
else
aTV->UpdateTolerance(aTol);
aTV->Modified(Standard_True);
break;
}
default:
break;
}
//
if (!UseOldSh)
theReshaper.Replace(aSh, aNsh);
}
}
//=================================================================================================
static void InternalSameParameter(const TopoDS_Shape& theSh,
BRepTools_ReShape& theReshaper,
const Standard_Real theTol,
const Standard_Boolean IsForced,
const Standard_Boolean IsMutableInput)
{
TopExp_Explorer ex(theSh, TopAbs_EDGE);
TopTools_MapOfShape Done;
BRep_Builder aB;
TopTools_DataMapOfShapeReal aShToTol;
while (ex.More())
{
const TopoDS_Edge& aCE = TopoDS::Edge(ex.Current());
if (Done.Add(aCE))
{
TopoDS_Edge aNE = TopoDS::Edge(theReshaper.Value(aCE));
Standard_Boolean UseOldEdge =
IsMutableInput || theReshaper.IsNewShape(aCE) || !aNE.IsSame(aCE);
if (IsForced && (BRep_Tool::SameRange(aCE) || BRep_Tool::SameParameter(aCE)))
{
if (!UseOldEdge)
{
aNE = TopoDS::Edge(aCE.EmptyCopied());
TopoDS_Iterator sit(aCE);
for (; sit.More(); sit.Next())
aB.Add(aNE, sit.Value());
theReshaper.Replace(aCE, aNE);
UseOldEdge = Standard_True;
}
aB.SameRange(aNE, Standard_False);
aB.SameParameter(aNE, Standard_False);
}
Standard_Real aNewTol = -1;
TopoDS_Edge aResEdge = BRepLib::SameParameter(aNE, theTol, aNewTol, UseOldEdge);
if (!UseOldEdge && !aResEdge.IsNull())
// NE have been empty-copied
theReshaper.Replace(aNE, aResEdge);
if (aNewTol > 0)
{
TopoDS_Vertex aV1, aV2;
TopExp::Vertices(aCE, aV1, aV2);
if (!aV1.IsNull())
UpdTolMap(aV1, aNewTol, aShToTol);
if (!aV2.IsNull())
UpdTolMap(aV2, aNewTol, aShToTol);
}
}
ex.Next();
}
Done.Clear();
BRepAdaptor_Surface BS;
for (ex.Init(theSh, TopAbs_FACE); ex.More(); ex.Next())
{
const TopoDS_Face& curface = TopoDS::Face(ex.Current());
if (!Done.Add(curface))
continue;
BS.Initialize(curface);
if (BS.GetType() != GeomAbs_Plane)
continue;
TopExp_Explorer ex2;
for (ex2.Init(curface, TopAbs_EDGE); ex2.More(); ex2.Next())
{
const TopoDS_Edge& E = TopoDS::Edge(ex2.Current());
if (BRep_Tool::Degenerated(E))
continue;
TopoDS_Shape aNe = theReshaper.Value(E);
Standard_Real aNewEtol = -1;
GetEdgeTol(TopoDS::Edge(aNe), curface, aNewEtol);
if (aNewEtol >= 0) // not equal to -1
UpdTolMap(E, aNewEtol, aShToTol);
}
}
//
UpdShTol(aShToTol, IsMutableInput, theReshaper, Standard_False);
InternalUpdateTolerances(theSh, Standard_False, IsMutableInput, theReshaper);
}
//================================================================
// function : SameParameter
// WARNING : New spec DUB LBO 9/9/97.
// Recode in the edge the best tolerance found,
// for vertex extremities it is required to find something else
//================================================================
void BRepLib::SameParameter(const TopoDS_Shape& S,
const Standard_Real Tolerance,
const Standard_Boolean forced)
{
BRepTools_ReShape reshaper;
InternalSameParameter(S, reshaper, Tolerance, forced, Standard_True);
}
//=================================================================================================
void BRepLib::SameParameter(const TopoDS_Shape& S,
BRepTools_ReShape& theReshaper,
const Standard_Real Tolerance,
const Standard_Boolean forced)
{
InternalSameParameter(S, theReshaper, Tolerance, forced, Standard_False);
}
//=================================================================================================
static Standard_Boolean EvalTol(const Handle(Geom2d_Curve)& pc,
const Handle(Geom_Surface)& s,
const GeomAdaptor_Curve& gac,
const Standard_Real tol,
Standard_Real& tolbail)
{
Standard_Integer ok = 0;
Standard_Real f = gac.FirstParameter();
Standard_Real l = gac.LastParameter();
Extrema_LocateExtPC Projector;
Projector.Initialize(gac, f, l, tol);
Standard_Real u, v;
gp_Pnt p;
tolbail = tol;
for (Standard_Integer i = 1; i <= 5; i++)
{
Standard_Real t = i / 6.;
t = (1. - t) * f + t * l;
pc->Value(t).Coord(u, v);
p = s->Value(u, v);
Projector.Perform(p, t);
if (Projector.IsDone())
{
Standard_Real dist2 = Projector.SquareDistance();
if (dist2 > tolbail * tolbail)
tolbail = sqrt(dist2);
ok++;
}
}
return (ok > 2);
}
//=================================================================================================
static Standard_Real ComputeTol(const Handle(Adaptor3d_Curve)& c3d,
const Handle(Adaptor2d_Curve2d)& c2d,
const Handle(Adaptor3d_Surface)& surf,
const Standard_Integer nbp)
{
TColStd_Array1OfReal dist(1, nbp + 10);
dist.Init(-1.);
// Adaptor3d_CurveOnSurface cons(c2d,surf);
Standard_Real uf = surf->FirstUParameter(), ul = surf->LastUParameter(),
vf = surf->FirstVParameter(), vl = surf->LastVParameter();
Standard_Real du = 0.01 * (ul - uf), dv = 0.01 * (vl - vf);
Standard_Boolean isUPeriodic = surf->IsUPeriodic(), isVPeriodic = surf->IsVPeriodic();
Standard_Real DSdu = 1. / surf->UResolution(1.), DSdv = 1. / surf->VResolution(1.);
Standard_Real d2 = 0.;
Standard_Real first = c3d->FirstParameter();
Standard_Real last = c3d->LastParameter();
Standard_Real dapp = -1.;
for (Standard_Integer i = 0; i <= nbp; ++i)
{
const Standard_Real t = IntToReal(i) / IntToReal(nbp);
const Standard_Real u = first * (1. - t) + last * t;
gp_Pnt Pc3d = c3d->Value(u);
gp_Pnt2d Puv = c2d->Value(u);
if (!isUPeriodic)
{
if (Puv.X() < uf - du)
{
dapp = Max(dapp, DSdu * (uf - Puv.X()));
continue;
}
else if (Puv.X() > ul + du)
{
dapp = Max(dapp, DSdu * (Puv.X() - ul));
continue;
}
}
if (!isVPeriodic)
{
if (Puv.Y() < vf - dv)
{
dapp = Max(dapp, DSdv * (vf - Puv.Y()));
continue;
}
else if (Puv.Y() > vl + dv)
{
dapp = Max(dapp, DSdv * (Puv.Y() - vl));
continue;
}
}
gp_Pnt Pcons = surf->Value(Puv.X(), Puv.Y());
if (Precision::IsInfinite(Pcons.X()) || Precision::IsInfinite(Pcons.Y())
|| Precision::IsInfinite(Pcons.Z()))
{
d2 = Precision::Infinite();
break;
}
Standard_Real temp = Pc3d.SquareDistance(Pcons);
dist(i + 1) = temp;
d2 = Max(d2, temp);
}
if (Precision::IsInfinite(d2))
{
return d2;
}
d2 = Sqrt(d2);
if (dapp > d2)
{
return dapp;
}
Standard_Boolean ana = Standard_False;
Standard_Real D2 = 0;
Standard_Integer N1 = 0;
Standard_Integer N2 = 0;
Standard_Integer N3 = 0;
for (Standard_Integer i = 1; i <= nbp + 10; ++i)
{
if (dist(i) > 0)
{
if (dist(i) < 1.0)
{
++N1;
}
else
{
++N2;
}
}
}
if (N1 > N2 && N2 != 0)
{
N3 = 100 * N2 / (N1 + N2);
}
if (N3 < 10 && N3 != 0)
{
ana = Standard_True;
for (Standard_Integer i = 1; i <= nbp + 10; ++i)
{
if (dist(i) > 0 && dist(i) < 1.0)
{
D2 = Max(D2, dist(i));
}
}
}
// d2 = 1.5*sqrt(d2);
d2 = (!ana) ? 1.5 * d2 : 1.5 * sqrt(D2);
d2 = Max(d2, 1.e-7);
return d2;
}
//=================================================================================================
static void GetCurve3d(const TopoDS_Edge& theEdge,
Handle(Geom_Curve)& theC3d,
Standard_Real& theF3d,
Standard_Real& theL3d,
TopLoc_Location& theLoc3d,
BRep_ListOfCurveRepresentation& theCList)
{
const Handle(BRep_TEdge)& aTE = *((Handle(BRep_TEdge)*)&theEdge.TShape());
// clang-format off
theCList = aTE->ChangeCurves(); // current function (i.e. GetCurve3d()) will not change any of this curves
// clang-format on
BRep_ListIteratorOfListOfCurveRepresentation anIt(theCList);
Standard_Boolean NotDone = Standard_True;
while (NotDone && anIt.More())
{
Handle(BRep_GCurve) GCurve = Handle(BRep_GCurve)::DownCast(anIt.Value());
if (!GCurve.IsNull() && GCurve->IsCurve3D())
{
theC3d = GCurve->Curve3D();
theF3d = GCurve->First();
theL3d = GCurve->Last();
theLoc3d = GCurve->Location();
NotDone = Standard_False;
}
anIt.Next();
}
}
//=================================================================================================
void UpdateVTol(const TopoDS_Vertex& theV1, const TopoDS_Vertex& theV2, Standard_Real theTol)
{
BRep_Builder aB;
if (!theV1.IsNull())
aB.UpdateVertex(theV1, theTol);
if (!theV2.IsNull())
aB.UpdateVertex(theV2, theTol);
}
//=================================================================================================
void BRepLib::SameParameter(const TopoDS_Edge& theEdge, const Standard_Real theTolerance)
{
Standard_Real aNewTol = -1;
SameParameter(theEdge, theTolerance, aNewTol, Standard_True);
if (aNewTol > 0)
{
TopoDS_Vertex aV1, aV2;
TopExp::Vertices(theEdge, aV1, aV2);
UpdateVTol(aV1, aV2, aNewTol);
}
}
//=================================================================================================
TopoDS_Edge BRepLib::SameParameter(const TopoDS_Edge& theEdge,
const Standard_Real theTolerance,
Standard_Real& theNewTol,
Standard_Boolean IsUseOldEdge)
{
if (BRep_Tool::SameParameter(theEdge))
return TopoDS_Edge();
Standard_Real f3d = 0., l3d = 0.;
TopLoc_Location L3d;
Handle(Geom_Curve) C3d;
BRep_ListOfCurveRepresentation CList;
GetCurve3d(theEdge, C3d, f3d, l3d, L3d, CList);
if (C3d.IsNull())
return TopoDS_Edge();
BRep_Builder B;
TopoDS_Edge aNE;
Handle(BRep_TEdge) aNTE;
if (IsUseOldEdge)
{
aNE = theEdge;
aNTE = *((Handle(BRep_TEdge)*)&theEdge.TShape());
}
else
{
// clang-format off
aNE = TopoDS::Edge(theEdge.EmptyCopied()); //will be modified a little bit later, so copy anyway
GetCurve3d(aNE, C3d, f3d, l3d, L3d, CList); //C3d pointer and CList will be differ after copying
// clang-format on
aNTE = *((Handle(BRep_TEdge)*)&aNE.TShape());
TopoDS_Iterator sit(theEdge);
for (; sit.More(); sit.Next()) // add vertices from old edge to the new ones
B.Add(aNE, sit.Value());
}
BRep_ListIteratorOfListOfCurveRepresentation It(CList);
const Standard_Integer NCONTROL = 22;
Handle(GeomAdaptor_Curve) HC = new GeomAdaptor_Curve();
Handle(Geom2dAdaptor_Curve) HC2d = new Geom2dAdaptor_Curve();
Handle(GeomAdaptor_Surface) HS = new GeomAdaptor_Surface();
GeomAdaptor_Curve& GAC = *HC;
Geom2dAdaptor_Curve& GAC2d = *HC2d;
GeomAdaptor_Surface& GAS = *HS;
// modified by NIZHNY-OCC486 Tue Aug 27 17:15:13 2002 :
Standard_Boolean m_TrimmedPeriodical = Standard_False;
Handle(Standard_Type) TheType = C3d->DynamicType();
if (TheType == STANDARD_TYPE(Geom_TrimmedCurve))
{
Handle(Geom_Curve) gtC(Handle(Geom_TrimmedCurve)::DownCast(C3d)->BasisCurve());
m_TrimmedPeriodical = gtC->IsPeriodic();
}
// modified by NIZHNY-OCC486 Tue Aug 27 17:15:17 2002 .
if (!C3d->IsPeriodic())
{
Standard_Real Udeb = C3d->FirstParameter();
Standard_Real Ufin = C3d->LastParameter();
// modified by NIZHNY-OCC486 Tue Aug 27 17:17:14 2002 :
// if (Udeb > f3d) f3d = Udeb;
// if (l3d > Ufin) l3d = Ufin;
if (!m_TrimmedPeriodical)
{
if (Udeb > f3d)
f3d = Udeb;
if (l3d > Ufin)
l3d = Ufin;
}
// modified by NIZHNY-OCC486 Tue Aug 27 17:17:55 2002 .
}
if (!L3d.IsIdentity())
{
C3d = Handle(Geom_Curve)::DownCast(C3d->Transformed(L3d.Transformation()));
}
GAC.Load(C3d, f3d, l3d);
Standard_Real Prec_C3d = BRepCheck::PrecCurve(GAC);
Standard_Boolean IsSameP = 1;
Standard_Real maxdist = 0.;
// Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898 Begin
Standard_Real anEdgeTol = BRep_Tool::Tolerance(aNE);
// Modified by skv - Thu Jun 3 12:39:20 2004 OCC5898 End
Standard_Boolean SameRange = BRep_Tool::SameRange(aNE);
Standard_Boolean YaPCu = Standard_False;
const Standard_Real BigError = 1.e10;
It.Initialize(CList);
while (It.More())
{
Standard_Boolean isANA = Standard_False;
Standard_Boolean isBSP = Standard_False;
Handle(BRep_GCurve) GCurve = Handle(BRep_GCurve)::DownCast(It.Value());
Handle(Geom2d_Curve) PC[2];
Handle(Geom_Surface) S;
if (!GCurve.IsNull() && GCurve->IsCurveOnSurface())
{
YaPCu = Standard_True;
PC[0] = GCurve->PCurve();
TopLoc_Location PCLoc = GCurve->Location();
S = GCurve->Surface();
if (!PCLoc.IsIdentity())
{
S = Handle(Geom_Surface)::DownCast(S->Transformed(PCLoc.Transformation()));
}
GAS.Load(S);
if (GCurve->IsCurveOnClosedSurface())
{
PC[1] = GCurve->PCurve2();
}
// Eval tol2d to compute SameRange
Standard_Real TolSameRange = Max(GAC.Resolution(theTolerance), Precision::PConfusion());
for (Standard_Integer i = 0; i < 2; i++)
{
Handle(Geom2d_Curve) curPC = PC[i];
Standard_Boolean updatepc = 0;
if (curPC.IsNull())
break;
if (!SameRange)
{
GeomLib::SameRange(TolSameRange, PC[i], GCurve->First(), GCurve->Last(), f3d, l3d, curPC);
updatepc = (curPC != PC[i]);
}
Standard_Boolean goodpc = 1;
GAC2d.Load(curPC, f3d, l3d);
Standard_Real error = ComputeTol(HC, HC2d, HS, NCONTROL);
if (error > BigError)
{
maxdist = error;
break;
}
if (GAC2d.GetType() == GeomAbs_BSplineCurve && GAC2d.Continuity() == GeomAbs_C0)
{
Standard_Real UResol = GAS.UResolution(theTolerance);
Standard_Real VResol = GAS.VResolution(theTolerance);
Standard_Real TolConf2d = Min(UResol, VResol);
TolConf2d = Max(TolConf2d, Precision::PConfusion());
Handle(Geom2d_BSplineCurve) bs2d = GAC2d.BSpline();
Handle(Geom2d_BSplineCurve) bs2dsov = bs2d;
Standard_Real fC0 = bs2d->FirstParameter(), lC0 = bs2d->LastParameter();
Standard_Boolean repar = Standard_True;
gp_Pnt2d OriginPoint;
bs2d->D0(fC0, OriginPoint);
Geom2dConvert::C0BSplineToC1BSplineCurve(bs2d, TolConf2d);
isBSP = Standard_True;
if (bs2d->IsPeriodic())
{ // -------- IFV, Jan 2000
gp_Pnt2d NewOriginPoint;
bs2d->D0(bs2d->FirstParameter(), NewOriginPoint);
if (Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion()
|| Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion())
{
TColStd_Array1OfReal Knotbs2d(1, bs2d->NbKnots());
bs2d->Knots(Knotbs2d);
for (Standard_Integer Index = 1; Index <= bs2d->NbKnots(); Index++)
{
bs2d->D0(Knotbs2d(Index), NewOriginPoint);
if (Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion()
|| Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion())
continue;
bs2d->SetOrigin(Index);
break;
}
}
}
if (bs2d->Continuity() == GeomAbs_C0)
{
Standard_Real tolbail;
if (EvalTol(curPC, S, GAC, theTolerance, tolbail))
{
bs2d = bs2dsov;
Standard_Real UResbail = GAS.UResolution(tolbail);
Standard_Real VResbail = GAS.VResolution(tolbail);
Standard_Real Tol2dbail = Min(UResbail, VResbail);
bs2d->D0(bs2d->FirstParameter(), OriginPoint);
Standard_Integer nbp = bs2d->NbPoles();
TColgp_Array1OfPnt2d poles(1, nbp);
bs2d->Poles(poles);
gp_Pnt2d p = poles(1), p1;
Standard_Real d = Precision::Infinite();
for (Standard_Integer ip = 2; ip <= nbp; ip++)
{
p1 = poles(ip);
d = Min(d, p.SquareDistance(p1));
p = p1;
}
d = sqrt(d) * .1;
Tol2dbail = Max(Min(Tol2dbail, d), TolConf2d);
Geom2dConvert::C0BSplineToC1BSplineCurve(bs2d, Tol2dbail);
if (bs2d->IsPeriodic())
{ // -------- IFV, Jan 2000
gp_Pnt2d NewOriginPoint;
bs2d->D0(bs2d->FirstParameter(), NewOriginPoint);
if (Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion()
|| Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion())
{
TColStd_Array1OfReal Knotbs2d(1, bs2d->NbKnots());
bs2d->Knots(Knotbs2d);
for (Standard_Integer Index = 1; Index <= bs2d->NbKnots(); Index++)
{
bs2d->D0(Knotbs2d(Index), NewOriginPoint);
if (Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion()
|| Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion())
continue;
bs2d->SetOrigin(Index);
break;
}
}
}
if (bs2d->Continuity() == GeomAbs_C0)
{
goodpc = 1;
bs2d = bs2dsov;
repar = Standard_False;
}
}
else
goodpc = 0;
}
if (goodpc)
{
if (repar)
{
Standard_Integer NbKnots = bs2d->NbKnots();
TColStd_Array1OfReal Knots(1, NbKnots);
bs2d->Knots(Knots);
// BSplCLib::Reparametrize(f3d,l3d,Knots);
BSplCLib::Reparametrize(fC0, lC0, Knots);
bs2d->SetKnots(Knots);
GAC2d.Load(bs2d, f3d, l3d);
curPC = bs2d;
Standard_Boolean updatepcsov = updatepc;
updatepc = Standard_True;
Standard_Real error1 = ComputeTol(HC, HC2d, HS, NCONTROL);
if (error1 > error)
{
bs2d = bs2dsov;
GAC2d.Load(bs2d, f3d, l3d);
curPC = bs2d;
updatepc = updatepcsov;
isANA = Standard_True;
}
else
{
error = error1;
}
}
// check, if new BSpline "good" or not --------- IFV, Jan of 2000
GeomAbs_Shape cont = bs2d->Continuity();
Standard_Boolean IsBad = Standard_False;
if (cont > GeomAbs_C0 && error > Max(1.e-3, theTolerance))
{
Standard_Integer NbKnots = bs2d->NbKnots();
TColStd_Array1OfReal Knots(1, NbKnots);
bs2d->Knots(Knots);
Standard_Real critratio = 10.;
Standard_Real dtprev = Knots(2) - Knots(1), dtratio = 1.;
Standard_Real dtmin = dtprev;
Standard_Real dtcur;
for (Standard_Integer j = 2; j < NbKnots; j++)
{
dtcur = Knots(j + 1) - Knots(j);
dtmin = Min(dtmin, dtcur);
if (IsBad)
continue;
if (dtcur > dtprev)
dtratio = dtcur / dtprev;
else
dtratio = dtprev / dtcur;
if (dtratio > critratio)
{
IsBad = Standard_True;
}
dtprev = dtcur;
}
if (IsBad)
{
// To avoid failures in Approx_CurvilinearParameter
bs2d->Resolution(Max(1.e-3, theTolerance), dtcur);
if (dtmin < dtcur)
IsBad = Standard_False;
}
}
if (IsBad)
{ // if BSpline "bad", try to reparametrize it
// by its curve length
// GeomAbs_Shape cont = bs2d->Continuity();
if (cont > GeomAbs_C2)
cont = GeomAbs_C2;
Standard_Integer maxdeg = bs2d->Degree();
if (maxdeg == 1)
maxdeg = 14;
Approx_CurvilinearParameter AppCurPar(HC2d,
HS,
Max(1.e-3, theTolerance),
cont,
maxdeg,
10);
if (AppCurPar.IsDone() || AppCurPar.HasResult())
{
bs2d = AppCurPar.Curve2d1();
GAC2d.Load(bs2d, f3d, l3d);
curPC = bs2d;
if (Abs(bs2d->FirstParameter() - fC0) > TolSameRange
|| Abs(bs2d->LastParameter() - lC0) > TolSameRange)
{
Standard_Integer NbKnots = bs2d->NbKnots();
TColStd_Array1OfReal Knots(1, NbKnots);
bs2d->Knots(Knots);
// BSplCLib::Reparametrize(f3d,l3d,Knots);
BSplCLib::Reparametrize(fC0, lC0, Knots);
bs2d->SetKnots(Knots);
GAC2d.Load(bs2d, f3d, l3d);
curPC = bs2d;
}
}
}
}
}
if (goodpc)
{
// Approx_SameParameter SameP(HC,HC2d,HS,Tolerance);
Standard_Real aTol = (isANA && isBSP) ? 1.e-7 : theTolerance;
const Handle(Adaptor3d_Curve)& aHCurv = HC; // to avoid ambiguity
const Handle(Adaptor2d_Curve2d)& aHCurv2d = HC2d; // to avoid ambiguity
Approx_SameParameter SameP(aHCurv, aHCurv2d, HS, aTol);
if (SameP.IsSameParameter())
{
maxdist = Max(maxdist, SameP.TolReached());
if (updatepc)
{
if (i == 0)
GCurve->PCurve(curPC);
else
GCurve->PCurve2(curPC);
}
}
else if (SameP.IsDone())
{
Standard_Real tolreached = SameP.TolReached();
if (tolreached <= error)
{
curPC = SameP.Curve2d();
updatepc = Standard_True;
maxdist = Max(maxdist, tolreached);
}
else
{
maxdist = Max(maxdist, error);
}
if (updatepc)
{
if (i == 0)
GCurve->PCurve(curPC);
else
GCurve->PCurve2(curPC);
}
}
else
{
// Approx_SameParameter has failed.
// Consequently, the situation might be,
// when 3D and 2D-curve do not have same-range.
GeomLib::SameRange(TolSameRange,
PC[i],
GCurve->First(),
GCurve->Last(),
f3d,
l3d,
curPC);
if (i == 0)
GCurve->PCurve(curPC);
else
GCurve->PCurve2(curPC);
IsSameP = 0;
}
}
else
IsSameP = 0;
// Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898 Begin
if (!IsSameP)
{
Standard_Real Prec_Surf = BRepCheck::PrecSurface(HS);
Standard_Real CurTol = anEdgeTol + Max(Prec_C3d, Prec_Surf);
if (CurTol >= error)
{
maxdist = Max(maxdist, anEdgeTol);
IsSameP = Standard_True;
}
}
// Modified by skv - Thu Jun 3 12:39:20 2004 OCC5898 End
}
}
It.Next();
}
B.Range(aNE, f3d, l3d);
B.SameRange(aNE, Standard_True);
if (IsSameP)
{
// Reduce eventually the tolerance of the edge, as
// all its representations are processed (except for some associated
// to planes and not stored in the edge !)
// The same cannot be done with vertices that cannot be enlarged
// or left as is.
if (YaPCu)
{
// Avoid setting too small tolerances.
maxdist = Max(maxdist, Precision::Confusion());
theNewTol = maxdist;
aNTE->Modified(Standard_True);
aNTE->Tolerance(maxdist);
}
B.SameParameter(aNE, Standard_True);
}
return aNE;
}
//=================================================================================================
static void InternalUpdateTolerances(const TopoDS_Shape& theOldShape,
const Standard_Boolean IsVerifyTolerance,
const Standard_Boolean IsMutableInput,
BRepTools_ReShape& theReshaper)
{
TopTools_DataMapOfShapeReal aShToTol;
// Harmonize tolerances
// with rule Tolerance(VERTEX)>=Tolerance(EDGE)>=Tolerance(FACE)
Standard_Real tol = 0;
if (IsVerifyTolerance)
{
// Set tolerance to its minimum value
Handle(Geom_Surface) S;
TopLoc_Location l;
TopExp_Explorer ex;
Bnd_Box aB;
Standard_Real aXmin, aYmin, aZmin, aXmax, aYmax, aZmax, dMax;
for (ex.Init(theOldShape, TopAbs_FACE); ex.More(); ex.Next())
{
const TopoDS_Face& curf = TopoDS::Face(ex.Current());
S = BRep_Tool::Surface(curf, l);
if (!S.IsNull())
{
aB.SetVoid();
BRepBndLib::Add(curf, aB);
if (S->DynamicType() == STANDARD_TYPE(Geom_RectangularTrimmedSurface))
{
S = Handle(Geom_RectangularTrimmedSurface)::DownCast(S)->BasisSurface();
}
GeomAdaptor_Surface AS(S);
switch (AS.GetType())
{
case GeomAbs_Plane:
case GeomAbs_Cylinder:
case GeomAbs_Cone: {
tol = Precision::Confusion();
break;
}
case GeomAbs_Sphere:
case GeomAbs_Torus: {
tol = Precision::Confusion() * 2;
break;
}
default:
tol = Precision::Confusion() * 4;
}
if (!aB.IsWhole())
{
aB.Get(aXmin, aYmin, aZmin, aXmax, aYmax, aZmax);
dMax = 1.;
if (!aB.IsOpenXmin() && !aB.IsOpenXmax())
dMax = aXmax - aXmin;
if (!aB.IsOpenYmin() && !aB.IsOpenYmax())
aYmin = aYmax - aYmin;
if (!aB.IsOpenZmin() && !aB.IsOpenZmax())
aZmin = aZmax - aZmin;
if (aYmin > dMax)
dMax = aYmin;
if (aZmin > dMax)
dMax = aZmin;
tol = tol * dMax;
// Do not process tolerances > 1.
if (tol > 1.)
tol = 0.99;
}
aShToTol.Bind(curf, tol);
}
}
}
// Process edges
TopTools_IndexedDataMapOfShapeListOfShape parents;
TopExp::MapShapesAndAncestors(theOldShape, TopAbs_EDGE, TopAbs_FACE, parents);
TopTools_ListIteratorOfListOfShape lConx;
Standard_Integer iCur;
for (iCur = 1; iCur <= parents.Extent(); iCur++)
{
tol = 0;
for (lConx.Initialize(parents(iCur)); lConx.More(); lConx.Next())
{
const TopoDS_Face& FF = TopoDS::Face(lConx.Value());
Standard_Real Ftol;
if (IsVerifyTolerance && aShToTol.IsBound(FF)) // first condition for speed-up
Ftol = aShToTol(FF);
else
Ftol = BRep_Tool::Tolerance(FF); // tolerance have not been updated
tol = Max(tol, Ftol);
}
// Update can only increase tolerance, so if the edge has a greater
// tolerance than its faces it is not concerned
const TopoDS_Edge& EK = TopoDS::Edge(parents.FindKey(iCur));
if (tol > BRep_Tool::Tolerance(EK))
aShToTol.Bind(EK, tol);
}
// Vertices are processed
const Standard_Real BigTol = 1.e10;
parents.Clear();
TopExp::MapShapesAndUniqueAncestors(theOldShape, TopAbs_VERTEX, TopAbs_EDGE, parents);
TColStd_MapOfTransient Initialized;
Standard_Integer nbV = parents.Extent();
for (iCur = 1; iCur <= nbV; iCur++)
{
tol = 0;
const TopoDS_Vertex& V = TopoDS::Vertex(parents.FindKey(iCur));
gp_Pnt aPV = BRep_Tool::Pnt(V);
Standard_Real aMaxDist = 0.;
gp_Pnt p3d;
for (lConx.Initialize(parents(iCur)); lConx.More(); lConx.Next())
{
const TopoDS_Edge& E = TopoDS::Edge(lConx.Value());
const Standard_Real* aNtol = aShToTol.Seek(E);
tol = Max(tol, aNtol ? *aNtol : BRep_Tool::Tolerance(E));
if (tol > BigTol)
continue;
if (!BRep_Tool::SameRange(E))
continue;
Standard_Real par = BRep_Tool::Parameter(V, E);
Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*)&E.TShape());
BRep_ListIteratorOfListOfCurveRepresentation itcr(TE->Curves());
const TopLoc_Location& Eloc = E.Location();
while (itcr.More())
{
// For each CurveRepresentation, check the provided parameter
const Handle(BRep_CurveRepresentation)& cr = itcr.Value();
const TopLoc_Location& loc = cr->Location();
TopLoc_Location L = (Eloc * loc);
if (cr->IsCurve3D())
{
const Handle(Geom_Curve)& C = cr->Curve3D();
if (!C.IsNull())
{ // edge non degenerated
p3d = C->Value(par);
p3d.Transform(L.Transformation());
Standard_Real aDist = p3d.SquareDistance(aPV);
if (aDist > aMaxDist)
aMaxDist = aDist;
}
}
else if (cr->IsCurveOnSurface())
{
const Handle(Geom_Surface)& Su = cr->Surface();
const Handle(Geom2d_Curve)& PC = cr->PCurve();
Handle(Geom2d_Curve) PC2;
if (cr->IsCurveOnClosedSurface())
{
PC2 = cr->PCurve2();
}
gp_Pnt2d p2d = PC->Value(par);
p3d = Su->Value(p2d.X(), p2d.Y());
p3d.Transform(L.Transformation());
Standard_Real aDist = p3d.SquareDistance(aPV);
if (aDist > aMaxDist)
aMaxDist = aDist;
if (!PC2.IsNull())
{
p2d = PC2->Value(par);
p3d = Su->Value(p2d.X(), p2d.Y());
p3d.Transform(L.Transformation());
aDist = p3d.SquareDistance(aPV);
if (aDist > aMaxDist)
aMaxDist = aDist;
}
}
itcr.Next();
}
}
tol = Max(tol, sqrt(aMaxDist));
tol += 2. * Epsilon(tol);
//
Standard_Real aVTol = BRep_Tool::Tolerance(V);
Standard_Boolean anUpdTol = tol > aVTol;
const Handle(BRep_TVertex)& aTV = *((Handle(BRep_TVertex)*)&V.TShape());
Standard_Boolean toAdd = Standard_False;
if (IsVerifyTolerance)
{
// ASet minimum value of the tolerance
// Attention to sharing of the vertex by other shapes
toAdd = Initialized.Add(aTV) && aVTol != tol; // if Vtol == tol => no need to update toler
}
//'Initialized' map is not used anywhere outside this block
if (anUpdTol || toAdd)
aShToTol.Bind(V, tol);
}
UpdShTol(aShToTol, IsMutableInput, theReshaper, Standard_True);
}
//=================================================================================================
void BRepLib::UpdateTolerances(const TopoDS_Shape& S, const Standard_Boolean verifyFaceTolerance)
{
BRepTools_ReShape aReshaper;
InternalUpdateTolerances(S, verifyFaceTolerance, Standard_True, aReshaper);
}
//=================================================================================================
void BRepLib::UpdateTolerances(const TopoDS_Shape& S,
BRepTools_ReShape& theReshaper,
const Standard_Boolean verifyFaceTolerance)
{
InternalUpdateTolerances(S, verifyFaceTolerance, Standard_False, theReshaper);
}
//=================================================================================================
void BRepLib::UpdateInnerTolerances(const TopoDS_Shape& aShape)
{
TopTools_IndexedDataMapOfShapeListOfShape EFmap;
TopExp::MapShapesAndAncestors(aShape, TopAbs_EDGE, TopAbs_FACE, EFmap);
BRep_Builder BB;
for (Standard_Integer i = 1; i <= EFmap.Extent(); i++)
{
TopoDS_Edge anEdge = TopoDS::Edge(EFmap.FindKey(i));
if (!BRep_Tool::IsGeometric(anEdge))
{
continue;
}
TopoDS_Vertex V1, V2;
TopExp::Vertices(anEdge, V1, V2);
Standard_Real fpar, lpar;
BRep_Tool::Range(anEdge, fpar, lpar);
Standard_Real TolEdge = BRep_Tool::Tolerance(anEdge);
gp_Pnt Pnt1, Pnt2;
Handle(BRepAdaptor_Curve) anHCurve = new BRepAdaptor_Curve();
anHCurve->Initialize(anEdge);
if (!V1.IsNull())
Pnt1 = BRep_Tool::Pnt(V1);
if (!V2.IsNull())
Pnt2 = BRep_Tool::Pnt(V2);
if (!BRep_Tool::Degenerated(anEdge) && EFmap(i).Extent() > 0)
{
NCollection_Sequence<Handle(Adaptor3d_Curve)> theRep;
theRep.Append(anHCurve);
TopTools_ListIteratorOfListOfShape itl(EFmap(i));
for (; itl.More(); itl.Next())
{
const TopoDS_Face& aFace = TopoDS::Face(itl.Value());
Handle(BRepAdaptor_Curve) anHCurvOnSurf = new BRepAdaptor_Curve();
anHCurvOnSurf->Initialize(anEdge, aFace);
theRep.Append(anHCurvOnSurf);
}
const Standard_Integer NbSamples = (BRep_Tool::SameParameter(anEdge)) ? 23 : 2;
Standard_Real delta = (lpar - fpar) / (NbSamples - 1);
Standard_Real MaxDist = 0.;
for (Standard_Integer j = 2; j <= theRep.Length(); j++)
{
for (Standard_Integer k = 0; k <= NbSamples; k++)
{
Standard_Real ParamOnCenter = (k == NbSamples) ? lpar : fpar + k * delta;
gp_Pnt Center = theRep(1)->Value(ParamOnCenter);
Standard_Real ParamOnCurve =
(BRep_Tool::SameParameter(anEdge))
? ParamOnCenter
: ((k == 0) ? theRep(j)->FirstParameter() : theRep(j)->LastParameter());
gp_Pnt aPoint = theRep(j)->Value(ParamOnCurve);
Standard_Real aDist = Center.Distance(aPoint);
// aDist *= 1.1;
aDist += 2. * Epsilon(aDist);
if (aDist > MaxDist)
MaxDist = aDist;
// Update tolerances of vertices
if (k == 0 && !V1.IsNull())
{
Standard_Real aDist1 = Pnt1.Distance(aPoint);
aDist1 += 2. * Epsilon(aDist1);
BB.UpdateVertex(V1, aDist1);
}
if (k == NbSamples && !V2.IsNull())
{
Standard_Real aDist2 = Pnt2.Distance(aPoint);
aDist2 += 2. * Epsilon(aDist2);
BB.UpdateVertex(V2, aDist2);
}
}
}
BB.UpdateEdge(anEdge, MaxDist);
}
TolEdge = BRep_Tool::Tolerance(anEdge);
if (!V1.IsNull())
{
gp_Pnt End1 = anHCurve->Value(fpar);
Standard_Real dist1 = Pnt1.Distance(End1);
dist1 += 2. * Epsilon(dist1);
BB.UpdateVertex(V1, Max(dist1, TolEdge));
}
if (!V2.IsNull())
{
gp_Pnt End2 = anHCurve->Value(lpar);
Standard_Real dist2 = Pnt2.Distance(End2);
dist2 += 2. * Epsilon(dist2);
BB.UpdateVertex(V2, Max(dist2, TolEdge));
}
}
}
//=================================================================================================
Standard_Boolean BRepLib::OrientClosedSolid(TopoDS_Solid& solid)
{
// Set material inside the solid
BRepClass3d_SolidClassifier where(solid);
where.PerformInfinitePoint(Precision::Confusion());
if (where.State() == TopAbs_IN)
{
solid.Reverse();
}
else if (where.State() == TopAbs_ON || where.State() == TopAbs_UNKNOWN)
return Standard_False;
return Standard_True;
}
// Structure for calculation of properties, necessary for decision about continuity
class SurfaceProperties
{
public:
SurfaceProperties(const Handle(Geom_Surface)& theSurface,
const gp_Trsf& theSurfaceTrsf,
const Handle(Geom2d_Curve)& theCurve2D,
const Standard_Boolean theReversed)
: mySurfaceProps(theSurface, 2, Precision::Confusion()),
mySurfaceTrsf(theSurfaceTrsf),
myCurve2d(theCurve2D),
myIsReversed(theReversed)
{
}
// Calculate derivatives on surface related to the point on curve
void Calculate(const Standard_Real theParamOnCurve)
{
gp_Pnt2d aUV;
myCurve2d->D1(theParamOnCurve, aUV, myCurveTangent);
mySurfaceProps.SetParameters(aUV.X(), aUV.Y());
}
// Returns point just calculated
gp_Pnt Value() { return mySurfaceProps.Value().Transformed(mySurfaceTrsf); }
// Calculate a derivative orthogonal to curve's tangent vector
gp_Vec Derivative()
{
gp_Vec aDeriv;
// direction orthogonal to tangent vector of the curve
gp_Vec2d anOrtho(-myCurveTangent.Y(), myCurveTangent.X());
Standard_Real aLen = anOrtho.Magnitude();
if (aLen < Precision::Confusion())
return aDeriv;
anOrtho /= aLen;
if (myIsReversed)
anOrtho.Reverse();
aDeriv.SetLinearForm(anOrtho.X(), mySurfaceProps.D1U(), anOrtho.Y(), mySurfaceProps.D1V());
return aDeriv.Transformed(mySurfaceTrsf);
}
gp_Dir Normal()
{
gp_Dir aNormal = mySurfaceProps.Normal();
return aNormal.Transformed(mySurfaceTrsf);
}
// Calculate principal curvatures, which consist of minimal and maximal normal curvatures and
// the directions on the tangent plane (principal direction) where the extremums are reached
void Curvature(gp_Dir& thePrincipalDir1,
Standard_Real& theCurvature1,
gp_Dir& thePrincipalDir2,
Standard_Real& theCurvature2)
{
mySurfaceProps.CurvatureDirections(thePrincipalDir1, thePrincipalDir2);
theCurvature1 = mySurfaceProps.MaxCurvature();
theCurvature2 = mySurfaceProps.MinCurvature();
if (myIsReversed)
{
theCurvature1 = -theCurvature1;
theCurvature2 = -theCurvature2;
}
if (mySurfaceTrsf.IsNegative())
{
theCurvature1 = -theCurvature1;
theCurvature2 = -theCurvature2;
}
thePrincipalDir1.Transform(mySurfaceTrsf);
thePrincipalDir2.Transform(mySurfaceTrsf);
}
private:
GeomLProp_SLProps mySurfaceProps; // properties calculator
gp_Trsf mySurfaceTrsf;
Handle(Geom2d_Curve) myCurve2d;
Standard_Boolean myIsReversed; // the face based on the surface is reversed
// tangent vector to Pcurve in UV
gp_Vec2d myCurveTangent;
};
//=======================================================================
// function : tgtfaces
// purpose : check the angle at the border between two squares.
// Two shares should have a shared front edge.
//=======================================================================
GeomAbs_Shape BRepLib::ContinuityOfFaces(const TopoDS_Edge& theEdge,
const TopoDS_Face& theFace1,
const TopoDS_Face& theFace2,
const Standard_Real theAngleTol)
{
Standard_Boolean isSeam = theFace1.IsEqual(theFace2);
TopoDS_Edge anEdgeInFace1, anEdgeInFace2;
Handle(Geom2d_Curve) aCurve1, aCurve2;
Standard_Real aFirst, aLast;
if (!theFace1.IsSame(theFace2) && BRep_Tool::IsClosed(theEdge, theFace1)
&& BRep_Tool::IsClosed(theEdge, theFace2))
{
// Find the edge in the face 1: this edge will have correct orientation
TopoDS_Face aFace1 = theFace1;
aFace1.Orientation(TopAbs_FORWARD);
TopExp_Explorer anExplo(aFace1, TopAbs_EDGE);
for (; anExplo.More(); anExplo.Next())
{
const TopoDS_Edge& anEdge = TopoDS::Edge(anExplo.Current());
if (anEdge.IsSame(theEdge))
{
anEdgeInFace1 = anEdge;
break;
}
}
if (anEdgeInFace1.IsNull())
return GeomAbs_C0;
aCurve1 = BRep_Tool::CurveOnSurface(anEdgeInFace1, aFace1, aFirst, aLast);
TopoDS_Face aFace2 = theFace2;
aFace2.Orientation(TopAbs_FORWARD);
anEdgeInFace2 = anEdgeInFace1;
anEdgeInFace2.Reverse();
aCurve2 = BRep_Tool::CurveOnSurface(anEdgeInFace2, aFace2, aFirst, aLast);
}
else
{
// Obtaining of pcurves of edge on two faces.
anEdgeInFace1 = anEdgeInFace2 = theEdge;
aCurve1 = BRep_Tool::CurveOnSurface(anEdgeInFace1, theFace1, aFirst, aLast);
// For the case of seam edge
if (theFace1.IsSame(theFace2))
anEdgeInFace2.Reverse();
aCurve2 = BRep_Tool::CurveOnSurface(anEdgeInFace2, theFace2, aFirst, aLast);
}
if (aCurve1.IsNull() || aCurve2.IsNull())
return GeomAbs_C0;
TopLoc_Location aLoc1, aLoc2;
Handle(Geom_Surface) aSurface1 = BRep_Tool::Surface(theFace1, aLoc1);
const gp_Trsf& aSurf1Trsf = aLoc1.Transformation();
Handle(Geom_Surface) aSurface2 = BRep_Tool::Surface(theFace2, aLoc2);
const gp_Trsf& aSurf2Trsf = aLoc2.Transformation();
if (aSurface1->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface)))
aSurface1 = Handle(Geom_RectangularTrimmedSurface)::DownCast(aSurface1)->BasisSurface();
if (aSurface2->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface)))
aSurface2 = Handle(Geom_RectangularTrimmedSurface)::DownCast(aSurface2)->BasisSurface();
// seam edge on elementary surface is always CN
Standard_Boolean isElementary = (aSurface1->IsKind(STANDARD_TYPE(Geom_ElementarySurface))
&& aSurface2->IsKind(STANDARD_TYPE(Geom_ElementarySurface)));
if (isSeam && isElementary)
{
return GeomAbs_CN;
}
SurfaceProperties aSP1(aSurface1, aSurf1Trsf, aCurve1, theFace1.Orientation() == TopAbs_REVERSED);
SurfaceProperties aSP2(aSurface2, aSurf2Trsf, aCurve2, theFace2.Orientation() == TopAbs_REVERSED);
Standard_Real f, l, eps;
BRep_Tool::Range(theEdge, f, l);
Extrema_LocateExtPC ext;
Handle(BRepAdaptor_Curve) aHC2;
eps = (l - f) / 100.;
f += eps; // to avoid calculations on
l -= eps; // points of pointed squares.
const Standard_Real anAngleTol2 = theAngleTol * theAngleTol;
gp_Vec aDer1, aDer2;
Standard_Real aSqLen1, aSqLen2;
gp_Dir aCrvDir1[2], aCrvDir2[2];
Standard_Real aCrvLen1[2], aCrvLen2[2];
GeomAbs_Shape aCont = (isElementary ? GeomAbs_CN : GeomAbs_C2);
GeomAbs_Shape aCurCont;
Standard_Real u;
for (Standard_Integer i = 0; i <= 20 && aCont > GeomAbs_C0; i++)
{
// First suppose that this is sameParameter
u = f + (l - f) * i / 20;
// Check conditions for G1 and C1 continuity:
// * calculate a derivative in tangent plane of each surface
// orthogonal to curve's tangent vector
// * continuity is C1 if the vectors are equal
// * continuity is G1 if the vectors are just parallel
aCurCont = GeomAbs_C0;
aSP1.Calculate(u);
aSP2.Calculate(u);
aDer1 = aSP1.Derivative();
aSqLen1 = aDer1.SquareMagnitude();
aDer2 = aSP2.Derivative();
aSqLen2 = aDer2.SquareMagnitude();
Standard_Boolean isSmoothSuspect =
(aDer1.CrossSquareMagnitude(aDer2) <= anAngleTol2 * aSqLen1 * aSqLen2);
if (isSmoothSuspect)
{
gp_Dir aNormal1 = aSP1.Normal();
if (theFace1.Orientation() == TopAbs_REVERSED)
aNormal1.Reverse();
gp_Dir aNormal2 = aSP2.Normal();
if (theFace2.Orientation() == TopAbs_REVERSED)
aNormal2.Reverse();
if (aNormal1 * aNormal2 < 0.)
return GeomAbs_C0;
}
if (!isSmoothSuspect)
{
// Refine by projection
if (aHC2.IsNull())
{
// adaptor for pcurve on the second surface
aHC2 = new BRepAdaptor_Curve(anEdgeInFace2, theFace2);
ext.Initialize(*aHC2, f, l, Precision::PConfusion());
}
ext.Perform(aSP1.Value(), u);
if (ext.IsDone() && ext.IsMin())
{
const Extrema_POnCurv& poc = ext.Point();
aSP2.Calculate(poc.Parameter());
aDer2 = aSP2.Derivative();
aSqLen2 = aDer2.SquareMagnitude();
}
isSmoothSuspect = (aDer1.CrossSquareMagnitude(aDer2) <= anAngleTol2 * aSqLen1 * aSqLen2);
}
if (isSmoothSuspect)
{
aCurCont = GeomAbs_G1;
if (Abs(Sqrt(aSqLen1) - Sqrt(aSqLen2)) < Precision::Confusion()
&& aDer1.Dot(aDer2) > Precision::SquareConfusion()) // <= check vectors are codirectional
aCurCont = GeomAbs_C1;
}
else
return GeomAbs_C0;
if (aCont < GeomAbs_G2)
continue; // no need further processing, because maximal continuity is less than G2
// Check conditions for G2 and C2 continuity:
// * calculate principal curvatures on each surface
// * continuity is C2 if directions of principal curvatures are equal on different surfaces
// * continuity is G2 if directions of principal curvatures are just parallel
// and values of curvatures are the same
aSP1.Curvature(aCrvDir1[0], aCrvLen1[0], aCrvDir1[1], aCrvLen1[1]);
aSP2.Curvature(aCrvDir2[0], aCrvLen2[0], aCrvDir2[1], aCrvLen2[1]);
for (Standard_Integer aStep = 0; aStep <= 1; ++aStep)
{
if (aCrvDir1[0].XYZ().CrossSquareMagnitude(aCrvDir2[aStep].XYZ())
<= Precision::SquareConfusion()
&& Abs(aCrvLen1[0] - aCrvLen2[aStep]) < Precision::Confusion()
&& aCrvDir1[1].XYZ().CrossSquareMagnitude(aCrvDir2[1 - aStep].XYZ())
<= Precision::SquareConfusion()
&& Abs(aCrvLen1[1] - aCrvLen2[1 - aStep]) < Precision::Confusion())
{
if (aCurCont == GeomAbs_C1 && aCrvDir1[0].Dot(aCrvDir2[aStep]) > Precision::Confusion()
&& aCrvDir1[1].Dot(aCrvDir2[1 - aStep]) > Precision::Confusion())
aCurCont = GeomAbs_C2;
else
aCurCont = GeomAbs_G2;
break;
}
}
if (aCurCont < aCont)
aCont = aCurCont;
}
// according to the list of supported elementary surfaces,
// if the continuity is C2, than it is totally CN
if (isElementary && aCont == GeomAbs_C2)
aCont = GeomAbs_CN;
return aCont;
}
//=======================================================================
// function : EncodeRegularity
// purpose : Code the regularities on all edges of the shape, boundary of
// two faces that do not have it.
// Takes into account that compound may consists of same solid
// placed with different transformations
//=======================================================================
static void EncodeRegularity(const TopoDS_Shape& theShape,
const Standard_Real theTolAng,
TopTools_MapOfShape& theMap,
const TopTools_MapOfShape& theEdgesToEncode = TopTools_MapOfShape())
{
TopoDS_Shape aShape = theShape;
TopLoc_Location aNullLoc;
aShape.Location(aNullLoc); // nullify location
if (!theMap.Add(aShape))
return; // do not need to process shape twice
if (aShape.ShapeType() == TopAbs_COMPOUND || aShape.ShapeType() == TopAbs_COMPSOLID)
{
for (TopoDS_Iterator it(aShape); it.More(); it.Next())
EncodeRegularity(it.Value(), theTolAng, theMap, theEdgesToEncode);
return;
}
try
{
OCC_CATCH_SIGNALS
TopTools_IndexedDataMapOfShapeListOfShape M;
TopExp::MapShapesAndAncestors(aShape, TopAbs_EDGE, TopAbs_FACE, M);
TopTools_ListIteratorOfListOfShape It;
TopExp_Explorer Ex;
TopoDS_Face F1, F2;
for (Standard_Integer i = 1; i <= M.Extent(); i++)
{
TopoDS_Edge E = TopoDS::Edge(M.FindKey(i));
if (!theEdgesToEncode.IsEmpty())
{
// process only the edges from the list to update their regularity
TopoDS_Shape aPureEdge = E.Located(aNullLoc);
aPureEdge.Orientation(TopAbs_FORWARD);
if (!theEdgesToEncode.Contains(aPureEdge))
continue;
}
Standard_Boolean found = Standard_False;
F1.Nullify();
for (It.Initialize(M.FindFromIndex(i)); It.More() && !found; It.Next())
{
if (F1.IsNull())
{
F1 = TopoDS::Face(It.Value());
}
else
{
const TopoDS_Face& aTmpF2 = TopoDS::Face(It.Value());
if (!F1.IsSame(aTmpF2))
{
found = Standard_True;
F2 = aTmpF2;
}
}
}
if (!found && !F1.IsNull())
{ // is it a sewing edge?
TopAbs_Orientation orE = E.Orientation();
TopoDS_Edge curE;
for (Ex.Init(F1, TopAbs_EDGE); Ex.More() && !found; Ex.Next())
{
curE = TopoDS::Edge(Ex.Current());
if (E.IsSame(curE) && orE != curE.Orientation())
{
found = Standard_True;
F2 = F1;
}
}
}
if (found)
BRepLib::EncodeRegularity(E, F1, F2, theTolAng);
}
}
catch (Standard_Failure const& anException)
{
#ifdef OCCT_DEBUG
std::cout << "Warning: Exception in BRepLib::EncodeRegularity(): ";
anException.Print(std::cout);
std::cout << std::endl;
#endif
(void)anException;
}
}
//=======================================================================
// function : EncodeRegularity
// purpose : code the regularities on all edges of the shape, boundary of
// two faces that do not have it.
//=======================================================================
void BRepLib::EncodeRegularity(const TopoDS_Shape& S, const Standard_Real TolAng)
{
TopTools_MapOfShape aMap;
::EncodeRegularity(S, TolAng, aMap);
}
//=======================================================================
// function : EncodeRegularity
// purpose : code the regularities on all edges in the list that do not
// have it, and which are boundary of two faces on the shape.
//=======================================================================
void BRepLib::EncodeRegularity(const TopoDS_Shape& S,
const TopTools_ListOfShape& LE,
const Standard_Real TolAng)
{
// Collect edges without location and orientation
TopTools_MapOfShape aPureEdges;
TopLoc_Location aNullLoc;
TopTools_ListIteratorOfListOfShape anEdgeIt(LE);
for (; anEdgeIt.More(); anEdgeIt.Next())
{
TopoDS_Shape anEdge = anEdgeIt.Value();
anEdge.Location(aNullLoc);
anEdge.Orientation(TopAbs_FORWARD);
aPureEdges.Add(anEdge);
}
TopTools_MapOfShape aMap;
::EncodeRegularity(S, TolAng, aMap, aPureEdges);
}
//=======================================================================
// function : EncodeRegularity
// purpose : code the regularity between 2 faces connected by edge
//=======================================================================
void BRepLib::EncodeRegularity(TopoDS_Edge& E,
const TopoDS_Face& F1,
const TopoDS_Face& F2,
const Standard_Real TolAng)
{
BRep_Builder B;
if (BRep_Tool::Continuity(E, F1, F2) <= GeomAbs_C0)
{
try
{
GeomAbs_Shape aCont = ContinuityOfFaces(E, F1, F2, TolAng);
B.Continuity(E, F1, F2, aCont);
}
catch (Standard_Failure const&)
{
#ifdef OCCT_DEBUG
std::cout << "Failure: Exception in BRepLib::EncodeRegularity" << std::endl;
#endif
}
}
}
//=======================================================================
// function : EnsureNormalConsistency
// purpose : Corrects the normals in Poly_Triangulation of faces.
// Returns TRUE if any correction is done.
//=======================================================================
Standard_Boolean BRepLib::EnsureNormalConsistency(const TopoDS_Shape& theShape,
const Standard_Real theAngTol,
const Standard_Boolean theForceComputeNormals)
{
const Standard_Real aThresDot = cos(theAngTol);
Standard_Boolean aRetVal = Standard_False, isNormalsFound = Standard_False;
// compute normals if they are absent
TopExp_Explorer anExpFace(theShape, TopAbs_FACE);
for (; anExpFace.More(); anExpFace.Next())
{
const TopoDS_Face& aFace = TopoDS::Face(anExpFace.Current());
const Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
if (aSurf.IsNull())
continue;
TopLoc_Location aLoc;
const Handle(Poly_Triangulation)& aPT = BRep_Tool::Triangulation(aFace, aLoc);
if (aPT.IsNull())
continue;
if (!theForceComputeNormals && aPT->HasNormals())
{
isNormalsFound = Standard_True;
continue;
}
aPT->AddNormals();
GeomLProp_SLProps aSLP(aSurf, 2, Precision::Confusion());
for (Standard_Integer i = 1; i <= aPT->NbNodes(); i++)
{
const gp_Pnt2d aP2d = aPT->UVNode(i);
aSLP.SetParameters(aP2d.X(), aP2d.Y());
if (!aSLP.IsNormalDefined())
{
#ifdef OCCT_DEBUG
std::cout << "BRepLib::EnsureNormalConsistency(): Cannot find normal!" << std::endl;
#endif
aPT->SetNormal(i, gp_Vec3f(0.0f));
}
else
{
gp_Dir aNorm = aSLP.Normal();
if (aFace.Orientation() == TopAbs_REVERSED)
{
aNorm.Reverse();
}
aPT->SetNormal(i, aNorm);
}
}
aRetVal = Standard_True;
isNormalsFound = Standard_True;
}
if (!isNormalsFound)
{
return aRetVal;
}
// loop by edges
TopTools_IndexedDataMapOfShapeListOfShape aMapEF;
TopExp::MapShapesAndAncestors(theShape, TopAbs_EDGE, TopAbs_FACE, aMapEF);
for (Standard_Integer anInd = 1; anInd <= aMapEF.Extent(); anInd++)
{
const TopoDS_Edge& anEdg = TopoDS::Edge(aMapEF.FindKey(anInd));
const TopTools_ListOfShape& anEdgList = aMapEF.FindFromIndex(anInd);
if (anEdgList.Extent() != 2)
continue;
TopTools_ListIteratorOfListOfShape anItF(anEdgList);
const TopoDS_Face aFace1 = TopoDS::Face(anItF.Value());
anItF.Next();
const TopoDS_Face aFace2 = TopoDS::Face(anItF.Value());
TopLoc_Location aLoc1, aLoc2;
const Handle(Poly_Triangulation)& aPT1 = BRep_Tool::Triangulation(aFace1, aLoc1);
const Handle(Poly_Triangulation)& aPT2 = BRep_Tool::Triangulation(aFace2, aLoc2);
if (aPT1.IsNull() || aPT2.IsNull())
continue;
if (!aPT1->HasNormals() || !aPT2->HasNormals())
continue;
const Handle(Poly_PolygonOnTriangulation)& aPTEF1 =
BRep_Tool::PolygonOnTriangulation(anEdg, aPT1, aLoc1);
const Handle(Poly_PolygonOnTriangulation)& aPTEF2 =
BRep_Tool::PolygonOnTriangulation(anEdg, aPT2, aLoc2);
if (aPTEF1->Nodes().Lower() != aPTEF2->Nodes().Lower()
|| aPTEF1->Nodes().Upper() != aPTEF2->Nodes().Upper())
continue;
for (Standard_Integer anEdgNode = aPTEF1->Nodes().Lower(); anEdgNode <= aPTEF1->Nodes().Upper();
anEdgNode++)
{
// Number of node
const Standard_Integer aFNodF1 = aPTEF1->Nodes().Value(anEdgNode);
const Standard_Integer aFNodF2 = aPTEF2->Nodes().Value(anEdgNode);
gp_Vec3f aNorm1f, aNorm2f;
aPT1->Normal(aFNodF1, aNorm1f);
aPT2->Normal(aFNodF2, aNorm2f);
const gp_XYZ aNorm1(aNorm1f.x(), aNorm1f.y(), aNorm1f.z());
const gp_XYZ aNorm2(aNorm2f.x(), aNorm2f.y(), aNorm2f.z());
const Standard_Real aDot = aNorm1 * aNorm2;
if (aDot > aThresDot)
{
gp_XYZ aNewNorm = (aNorm1 + aNorm2).Normalized();
aPT1->SetNormal(aFNodF1, aNewNorm);
aPT2->SetNormal(aFNodF2, aNewNorm);
aRetVal = Standard_True;
}
}
}
return aRetVal;
}
//=================================================================================================
namespace
{
//! Tool to estimate deflection of the given UV point
//! with regard to its representation in 3D space.
struct EvalDeflection
{
BRepAdaptor_Surface Surface;
//! Initializes tool with the given face.
EvalDeflection(const TopoDS_Face& theFace)
: Surface(theFace)
{
}
//! Evaluates deflection of the given 2d point from its 3d representation.
Standard_Real Eval(const gp_Pnt2d& thePoint2d, const gp_Pnt& thePoint3d)
{
gp_Pnt aPnt;
Surface.D0(thePoint2d.X(), thePoint2d.Y(), aPnt);
return (thePoint3d.XYZ() - aPnt.XYZ()).SquareModulus();
}
};
//! Represents link of triangulation.
struct Link
{
Standard_Integer Node[2];
//! Constructor
Link(const Standard_Integer theNode1, const Standard_Integer theNode2)
{
Node[0] = theNode1;
Node[1] = theNode2;
}
//! Returns true if this link has the same nodes as the other.
Standard_Boolean IsEqual(const Link& theOther) const
{
return ((Node[0] == theOther.Node[0] && Node[1] == theOther.Node[1])
|| (Node[0] == theOther.Node[1] && Node[1] == theOther.Node[0]));
}
//! Alias for IsEqual.
Standard_Boolean operator==(const Link& theOther) const { return IsEqual(theOther); }
};
} // namespace
namespace std
{
template <>
struct hash<Link>
{
size_t operator()(const Link& theLink) const noexcept
{
int aCombination[2]{theLink.Node[0], theLink.Node[1]};
if (aCombination[0] > aCombination[1])
{
std::swap(aCombination[0], aCombination[1]);
}
return opencascade::hashBytes(aCombination, sizeof(aCombination));
}
};
} // namespace std
void BRepLib::UpdateDeflection(const TopoDS_Shape& theShape)
{
TopExp_Explorer anExpFace(theShape, TopAbs_FACE);
for (; anExpFace.More(); anExpFace.Next())
{
const TopoDS_Face& aFace = TopoDS::Face(anExpFace.Current());
const Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
if (aSurf.IsNull())
{
continue;
}
TopLoc_Location aLoc;
const Handle(Poly_Triangulation)& aPT = BRep_Tool::Triangulation(aFace, aLoc);
if (aPT.IsNull() || !aPT->HasUVNodes())
{
continue;
}
// Collect all nodes of degenerative edges and skip elements
// build upon them due to huge distortions introduced by passage
// from UV space to 3D.
NCollection_Map<Standard_Integer> aDegNodes;
TopExp_Explorer anExpEdge(aFace, TopAbs_EDGE);
for (; anExpEdge.More(); anExpEdge.Next())
{
const TopoDS_Edge& aEdge = TopoDS::Edge(anExpEdge.Current());
if (BRep_Tool::Degenerated(aEdge))
{
const Handle(Poly_PolygonOnTriangulation)& aPolygon =
BRep_Tool::PolygonOnTriangulation(aEdge, aPT, aLoc);
if (aPolygon.IsNull())
{
continue;
}
for (Standard_Integer aNodeIt = aPolygon->Nodes().Lower();
aNodeIt <= aPolygon->Nodes().Upper();
++aNodeIt)
{
aDegNodes.Add(aPolygon->Node(aNodeIt));
}
}
}
EvalDeflection aTool(aFace);
NCollection_Map<Link> aLinks;
Standard_Real aSqDeflection = 0.;
const gp_Trsf& aTrsf = aLoc.Transformation();
for (Standard_Integer aTriIt = 1; aTriIt <= aPT->NbTriangles(); ++aTriIt)
{
const Poly_Triangle& aTriangle = aPT->Triangle(aTriIt);
int aNode[3];
aTriangle.Get(aNode[0], aNode[1], aNode[2]);
if (aDegNodes.Contains(aNode[0]) || aDegNodes.Contains(aNode[1])
|| aDegNodes.Contains(aNode[2]))
{
continue;
}
const gp_Pnt aP3d[3] = {aPT->Node(aNode[0]).Transformed(aTrsf),
aPT->Node(aNode[1]).Transformed(aTrsf),
aPT->Node(aNode[2]).Transformed(aTrsf)};
const gp_Pnt2d aP2d[3] = {aPT->UVNode(aNode[0]),
aPT->UVNode(aNode[1]),
aPT->UVNode(aNode[2])};
// Check midpoint of triangle.
const gp_Pnt aMid3d_t = (aP3d[0].XYZ() + aP3d[1].XYZ() + aP3d[2].XYZ()) / 3.;
const gp_Pnt2d aMid2d_t = (aP2d[0].XY() + aP2d[1].XY() + aP2d[2].XY()) / 3.;
aSqDeflection = Max(aSqDeflection, aTool.Eval(aMid2d_t, aMid3d_t));
for (Standard_Integer i = 0; i < 3; ++i)
{
const Standard_Integer j = (i + 1) % 3;
const Link aLink(aNode[i], aNode[j]);
if (!aLinks.Add(aLink))
{
// Do not estimate boundary links due to high distortions at the edge.
const gp_Pnt& aP3d1 = aP3d[i];
const gp_Pnt& aP3d2 = aP3d[j];
const gp_Pnt2d& aP2d1 = aP2d[i];
const gp_Pnt2d& aP2d2 = aP2d[j];
const gp_Pnt aMid3d_l = (aP3d1.XYZ() + aP3d2.XYZ()) / 2.;
const gp_Pnt2d aMid2d_l = (aP2d1.XY() + aP2d2.XY()) / 2.;
aSqDeflection = Max(aSqDeflection, aTool.Eval(aMid2d_l, aMid3d_l));
}
}
}
aPT->Deflection(Sqrt(aSqDeflection));
}
}
//=================================================================================================
void BRepLib::SortFaces(const TopoDS_Shape& Sh, TopTools_ListOfShape& LF)
{
LF.Clear();
TopTools_ListOfShape LTri, LPlan, LCyl, LCon, LSphere, LTor, LOther;
TopExp_Explorer exp(Sh, TopAbs_FACE);
TopLoc_Location l;
Handle(Geom_Surface) S;
for (; exp.More(); exp.Next())
{
const TopoDS_Face& F = TopoDS::Face(exp.Current());
S = BRep_Tool::Surface(F, l);
if (!S.IsNull())
{
if (S->DynamicType() == STANDARD_TYPE(Geom_RectangularTrimmedSurface))
{
S = Handle(Geom_RectangularTrimmedSurface)::DownCast(S)->BasisSurface();
}
GeomAdaptor_Surface AS(S);
switch (AS.GetType())
{
case GeomAbs_Plane: {
LPlan.Append(F);
break;
}
case GeomAbs_Cylinder: {
LCyl.Append(F);
break;
}
case GeomAbs_Cone: {
LCon.Append(F);
break;
}
case GeomAbs_Sphere: {
LSphere.Append(F);
break;
}
case GeomAbs_Torus: {
LTor.Append(F);
break;
}
default:
LOther.Append(F);
}
}
else
LTri.Append(F);
}
LF.Append(LPlan);
LF.Append(LCyl);
LF.Append(LCon);
LF.Append(LSphere);
LF.Append(LTor);
LF.Append(LOther);
LF.Append(LTri);
}
//=================================================================================================
void BRepLib::ReverseSortFaces(const TopoDS_Shape& Sh, TopTools_ListOfShape& LF)
{
LF.Clear();
// Use the allocator of the result LF for intermediate results
TopTools_ListOfShape LTri(LF.Allocator()), LPlan(LF.Allocator()), LCyl(LF.Allocator()),
LCon(LF.Allocator()), LSphere(LF.Allocator()), LTor(LF.Allocator()), LOther(LF.Allocator());
TopExp_Explorer exp(Sh, TopAbs_FACE);
TopLoc_Location l;
for (; exp.More(); exp.Next())
{
const TopoDS_Face& F = TopoDS::Face(exp.Current());
const Handle(Geom_Surface)& S = BRep_Tool::Surface(F, l);
if (!S.IsNull())
{
GeomAdaptor_Surface AS(S);
switch (AS.GetType())
{
case GeomAbs_Plane: {
LPlan.Append(F);
break;
}
case GeomAbs_Cylinder: {
LCyl.Append(F);
break;
}
case GeomAbs_Cone: {
LCon.Append(F);
break;
}
case GeomAbs_Sphere: {
LSphere.Append(F);
break;
}
case GeomAbs_Torus: {
LTor.Append(F);
break;
}
default:
LOther.Append(F);
}
}
else
LTri.Append(F);
}
LF.Append(LTri);
LF.Append(LOther);
LF.Append(LTor);
LF.Append(LSphere);
LF.Append(LCon);
LF.Append(LCyl);
LF.Append(LPlan);
}
//=================================================================================================
void BRepLib::BoundingVertex(const NCollection_List<TopoDS_Shape>& theLV,
gp_Pnt& theNewCenter,
Standard_Real& theNewTol)
{
Standard_Integer aNb;
//
aNb = theLV.Extent();
if (aNb < 2)
{
return;
}
//
else if (aNb == 2)
{
Standard_Integer m, n;
Standard_Real aR[2], dR, aD, aEps;
TopoDS_Vertex aV[2];
gp_Pnt aP[2];
//
aEps = RealEpsilon();
for (m = 0; m < aNb; ++m)
{
aV[m] = (!m) ? *((TopoDS_Vertex*)(&theLV.First())) : *((TopoDS_Vertex*)(&theLV.Last()));
aP[m] = BRep_Tool::Pnt(aV[m]);
aR[m] = BRep_Tool::Tolerance(aV[m]);
}
//
m = 0; // max R
n = 1; // min R
if (aR[0] < aR[1])
{
m = 1;
n = 0;
}
//
dR = aR[m] - aR[n]; // dR >= 0.
gp_Vec aVD(aP[m], aP[n]);
aD = aVD.Magnitude();
//
if (aD <= dR || aD < aEps)
{
theNewCenter = aP[m];
theNewTol = aR[m];
}
else
{
Standard_Real aRr;
gp_XYZ aXYZr;
gp_Pnt aPr;
//
aRr = 0.5 * (aR[m] + aR[n] + aD);
aXYZr = 0.5 * (aP[m].XYZ() + aP[n].XYZ() - aVD.XYZ() * (dR / aD));
aPr.SetXYZ(aXYZr);
//
theNewCenter = aPr;
theNewTol = aRr;
// aBB.MakeVertex (aVnew, aPr, aRr);
}
return;
} // else if (aNb==2) {
//
else
{ // if (aNb>2)
// compute the point
//
// issue 0027540 - sum of doubles may depend on the order
// of addition, thus sort the coordinates for stable result
Standard_Integer i;
NCollection_Array1<gp_Pnt> aPoints(0, aNb - 1);
NCollection_List<TopoDS_Shape>::Iterator aIt(theLV);
for (i = 0; aIt.More(); aIt.Next(), ++i)
{
const TopoDS_Vertex& aVi = *((TopoDS_Vertex*)(&aIt.Value()));
gp_Pnt aPi = BRep_Tool::Pnt(aVi);
aPoints(i) = aPi;
}
//
std::sort(aPoints.begin(), aPoints.end(), BRepLib_ComparePoints());
//
gp_XYZ aXYZ(0., 0., 0.);
for (i = 0; i < aNb; ++i)
{
aXYZ += aPoints(i).XYZ();
}
aXYZ.Divide((Standard_Real)aNb);
//
gp_Pnt aP(aXYZ);
//
// compute the tolerance for the new vertex
Standard_Real aTi, aDi, aDmax;
//
aDmax = -1.;
aIt.Initialize(theLV);
for (; aIt.More(); aIt.Next())
{
TopoDS_Vertex& aVi = *((TopoDS_Vertex*)(&aIt.Value()));
gp_Pnt aPi = BRep_Tool::Pnt(aVi);
aTi = BRep_Tool::Tolerance(aVi);
aDi = aP.SquareDistance(aPi);
aDi = sqrt(aDi);
aDi = aDi + aTi;
if (aDi > aDmax)
{
aDmax = aDi;
}
}
//
theNewCenter = aP;
theNewTol = aDmax;
}
}
//=================================================================================================
void BRepLib::ExtendFace(const TopoDS_Face& theF,
const Standard_Real theExtVal,
const Standard_Boolean theExtUMin,
const Standard_Boolean theExtUMax,
const Standard_Boolean theExtVMin,
const Standard_Boolean theExtVMax,
TopoDS_Face& theFExtended)
{
// Get face bounds
BRepAdaptor_Surface aBAS(theF);
Standard_Real aFUMin = aBAS.FirstUParameter(), aFUMax = aBAS.LastUParameter(),
aFVMin = aBAS.FirstVParameter(), aFVMax = aBAS.LastVParameter();
const Standard_Real aTol = BRep_Tool::Tolerance(theF);
// Surface to build the face
Handle(Geom_Surface) aS;
const GeomAbs_SurfaceType aType = aBAS.GetType();
// treat analytical surfaces first
if (aType == GeomAbs_Plane || aType == GeomAbs_Sphere || aType == GeomAbs_Cylinder
|| aType == GeomAbs_Torus || aType == GeomAbs_Cone)
{
// Get basis transformed basis surface
Handle(Geom_Surface) aSurf =
Handle(Geom_Surface)::DownCast(aBAS.Surface().Surface()->Transformed(aBAS.Trsf()));
// Get bounds of the basis surface
Standard_Real aSUMin, aSUMax, aSVMin, aSVMax;
aSurf->Bounds(aSUMin, aSUMax, aSVMin, aSVMax);
Standard_Boolean isUPeriodic = aBAS.IsUPeriodic();
Standard_Real anUPeriod = isUPeriodic ? aBAS.UPeriod() : 0.0;
if (isUPeriodic)
{
// Adjust face bounds to first period
Standard_Real aDelta = aFUMax - aFUMin;
aFUMin = Max(aSUMin, aFUMin + anUPeriod * Ceiling((aSUMin - aFUMin) / anUPeriod));
aFUMax = aFUMin + aDelta;
}
Standard_Boolean isVPeriodic = aBAS.IsVPeriodic();
Standard_Real aVPeriod = isVPeriodic ? aBAS.VPeriod() : 0.0;
if (isVPeriodic)
{
// Adjust face bounds to first period
Standard_Real aDelta = aFVMax - aFVMin;
aFVMin = Max(aSVMin, aFVMin + aVPeriod * Ceiling((aSVMin - aFVMin) / aVPeriod));
aFVMax = aFVMin + aDelta;
}
// Enlarge the face
Standard_Real anURes = 0., aVRes = 0.;
if (theExtUMin || theExtUMax)
anURes = aBAS.UResolution(theExtVal);
if (theExtVMin || theExtVMax)
aVRes = aBAS.VResolution(theExtVal);
if (theExtUMin)
aFUMin = Max(aSUMin, aFUMin - anURes);
if (theExtUMax)
aFUMax = Min(isUPeriodic ? aFUMin + anUPeriod : aSUMax, aFUMax + anURes);
if (theExtVMin)
aFVMin = Max(aSVMin, aFVMin - aVRes);
if (theExtVMax)
aFVMax = Min(isVPeriodic ? aFVMin + aVPeriod : aSVMax, aFVMax + aVRes);
// Check if the periodic surface should become closed.
// In this case, use the basis surface with basis bounds.
constexpr Standard_Real anEps = Precision::PConfusion();
if (isUPeriodic && Abs(aFUMax - aFUMin - anUPeriod) < anEps)
{
aFUMin = aSUMin;
aFUMax = aSUMax;
}
if (isVPeriodic && Abs(aFVMax - aFVMin - aVPeriod) < anEps)
{
aFVMin = aSVMin;
aFVMax = aSVMax;
}
aS = aSurf;
}
else
{
// General case
Handle(Geom_BoundedSurface) aSB =
Handle(Geom_BoundedSurface)::DownCast(BRep_Tool::Surface(theF));
if (aSB.IsNull())
{
theFExtended = theF;
return;
}
// Get surfaces bounds
Standard_Real aSUMin, aSUMax, aSVMin, aSVMax;
aSB->Bounds(aSUMin, aSUMax, aSVMin, aSVMax);
Standard_Boolean isUClosed = aSB->IsUClosed();
Standard_Boolean isVClosed = aSB->IsVClosed();
// Check if the extension in necessary directions is done
Standard_Boolean isExtUMin = Standard_False, isExtUMax = Standard_False,
isExtVMin = Standard_False, isExtVMax = Standard_False;
// UMin
if (theExtUMin && !isUClosed && !Precision::IsInfinite(aSUMin))
{
GeomLib::ExtendSurfByLength(aSB, theExtVal, 1, Standard_True, Standard_False);
isExtUMin = Standard_True;
}
// UMax
if (theExtUMax && !isUClosed && !Precision::IsInfinite(aSUMax))
{
GeomLib::ExtendSurfByLength(aSB, theExtVal, 1, Standard_True, Standard_True);
isExtUMax = Standard_True;
}
// VMin
if (theExtVMin && !isVClosed && !Precision::IsInfinite(aSVMax))
{
GeomLib::ExtendSurfByLength(aSB, theExtVal, 1, Standard_False, Standard_False);
isExtVMin = Standard_True;
}
// VMax
if (theExtVMax && !isVClosed && !Precision::IsInfinite(aSVMax))
{
GeomLib::ExtendSurfByLength(aSB, theExtVal, 1, Standard_False, Standard_True);
isExtVMax = Standard_True;
}
aS = aSB;
// Get new bounds
aS->Bounds(aSUMin, aSUMax, aSVMin, aSVMax);
if (isExtUMin)
aFUMin = aSUMin;
if (isExtUMax)
aFUMax = aSUMax;
if (isExtVMin)
aFVMin = aSVMin;
if (isExtVMax)
aFVMax = aSVMax;
}
BRepLib_MakeFace aMF(aS, aFUMin, aFUMax, aFVMin, aFVMax, aTol);
theFExtended = *(TopoDS_Face*)&aMF.Shape();
if (theF.Orientation() == TopAbs_REVERSED)
theFExtended.Reverse();
}