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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 <gp_Pnt2d.hxx>
#include <NCollection_Array1.hxx>
#include <Standard_Transient.hxx>
#include <NCollection_Map.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 <gp_XY.hxx>
#include <BRepTools_ReShape.hxx>
#include <TopTools_ShapeMapHasher.hxx>
#include <NCollection_DataMap.hxx>
#include <TopoDS_LockedShape.hxx>
#include <Standard_HashUtils.hxx>
#include <algorithm>
// TODO - not thread-safe static variables
static double thePrecision = Precision::Confusion();
static occ::handle<Geom_Plane> thePlane;
static void InternalUpdateTolerances(const TopoDS_Shape& theOldShape,
const bool IsVerifyTolerance,
const bool 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 (int i = 1; i <= 3; ++i)
{
if (theP1.Coord(i) < theP2.Coord(i))
{
return true;
}
else if (theP1.Coord(i) > theP2.Coord(i))
{
return false;
}
}
return false;
}
};
//=================================================================================================
void BRepLib::Precision(const double P)
{
thePrecision = P;
}
//=================================================================================================
double BRepLib::Precision()
{
return thePrecision;
}
//=================================================================================================
void BRepLib::Plane(const occ::handle<Geom_Plane>& P)
{
thePlane = P;
}
//=================================================================================================
const occ::handle<Geom_Plane>& BRepLib::Plane()
{
if (thePlane.IsNull())
{
thePlane = new Geom_Plane(gp::XOY());
}
return thePlane;
}
//=================================================================================================
bool BRepLib::CheckSameRange(const TopoDS_Edge& AnEdge, const double Tolerance)
{
bool IsSameRange = true, first_time_in = true;
NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator an_Iterator(
(*((occ::handle<BRep_TEdge>*)&AnEdge.TShape()))->ChangeCurves());
double first, last;
double current_first = 0., current_last = 0.;
occ::handle<BRep_GCurve> geometric_representation_ptr;
while (IsSameRange && an_Iterator.More())
{
geometric_representation_ptr = occ::down_cast<BRep_GCurve>(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 = false;
}
else
{
IsSameRange = (std::abs(current_first - first) <= Tolerance)
&& (std::abs(current_last - last) <= Tolerance);
}
}
an_Iterator.Next();
}
return IsSameRange;
}
//=================================================================================================
void BRepLib::SameRange(const TopoDS_Edge& AnEdge, const double Tolerance)
{
NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator an_Iterator(
(*((occ::handle<BRep_TEdge>*)&AnEdge.TShape()))->ChangeCurves());
occ::handle<Geom2d_Curve> Curve2dPtr, Curve2dPtr2, NewCurve2dPtr, NewCurve2dPtr2;
TopLoc_Location LocalLoc;
bool first_time_in = true, has_curve, has_closed_curve;
occ::handle<BRep_GCurve> geometric_representation_ptr;
double first, current_first, last, current_last;
const occ::handle<Geom_Curve> C = BRep_Tool::Curve(AnEdge, LocalLoc, current_first, current_last);
if (!C.IsNull())
{
first_time_in = false;
}
while (an_Iterator.More())
{
geometric_representation_ptr = occ::down_cast<BRep_GCurve>(an_Iterator.Value());
if (!geometric_representation_ptr.IsNull())
{
has_closed_curve = has_curve = false;
first = geometric_representation_ptr->First();
last = geometric_representation_ptr->Last();
if (geometric_representation_ptr->IsCurveOnSurface())
{
Curve2dPtr = geometric_representation_ptr->PCurve();
has_curve = true;
}
if (geometric_representation_ptr->IsCurveOnClosedSurface())
{
Curve2dPtr2 = geometric_representation_ptr->PCurve2();
has_closed_curve = true;
}
if (has_curve || has_closed_curve)
{
if (first_time_in)
{
current_first = first;
current_last = last;
first_time_in = false;
}
if (std::abs(first - current_first) > Precision::Confusion()
|| std::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, true);
}
//=======================================================================
// function : EvaluateMaxSegment
// purpose : return MaxSegment to pass in approximation, if MaxSegment==0 provided
//=======================================================================
static int evaluateMaxSegment(const int aMaxSegment,
const Adaptor3d_CurveOnSurface& aCurveOnSurface)
{
if (aMaxSegment != 0)
{
return aMaxSegment;
}
const occ::handle<Adaptor3d_Surface>& aSurf = aCurveOnSurface.GetSurface();
const occ::handle<Adaptor2d_Curve2d>& aCurv2d = aCurveOnSurface.GetCurve();
double aNbSKnots = 0, aNbC2dKnots = 0;
if (aSurf->GetType() == GeomAbs_BSplineSurface)
{
occ::handle<Geom_BSplineSurface> aBSpline = aSurf->BSpline();
aNbSKnots = std::max(aBSpline->NbUKnots(), aBSpline->NbVKnots());
}
if (aCurv2d->GetType() == GeomAbs_BSplineCurve)
{
aNbC2dKnots = aCurv2d->NbKnots();
}
int aReturn = (int)(30 + std::max(aNbSKnots, aNbC2dKnots));
return aReturn;
}
//=================================================================================================
bool BRepLib::BuildCurve3d(const TopoDS_Edge& AnEdge,
const double Tolerance,
const GeomAbs_Shape Continuity,
const int MaxDegree,
const int MaxSegment)
{
int // ErrorCode,
// ReturnCode = 0,
ii,
// num_knots,
jj;
TopLoc_Location LocalLoc, L[2], LC;
double f, l, fc, lc, first[2], last[2], tolerance, max_deviation, average_deviation;
occ::handle<Geom2d_Curve> Curve2dPtr, Curve2dArray[2];
occ::handle<Geom_Surface> SurfacePtr, SurfaceArray[2];
int not_done;
// if the edge has a 3d curve returns true
const occ::handle<Geom_Curve> C = BRep_Tool::Curve(AnEdge, LocalLoc, f, l);
if (!C.IsNull())
{
return 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
occ::handle<Geom_Surface> S;
occ::handle<Geom2d_Curve> PC;
int i = 0;
occ::handle<Geom_Plane> P;
not_done = 1;
while (not_done)
{
i++;
BRep_Tool::CurveOnSurface(AnEdge, PC, S, LocalLoc, f, l, i);
occ::handle<Geom_RectangularTrimmedSurface> RT =
occ::down_cast<Geom_RectangularTrimmedSurface>(S);
if (RT.IsNull())
{
P = occ::down_cast<Geom_Plane>(S);
}
else
{
P = occ::down_cast<Geom_Plane>(RT->BasisSurface());
}
not_done = !S.IsNull() && P.IsNull();
}
if (!P.IsNull())
{
// compute the 3d curve
gp_Ax2 axes = P->Position().Ax2();
occ::handle<Geom_Curve> C3d = GeomLib::To3d(axes, PC);
if (C3d.IsNull())
{
return false;
}
// update the edge
double 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;
// BRep_Tool::CurveOnSurface expects Index >= 1, so start from 1.
for (ii = 1; 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);
occ::handle<Geom2dAdaptor_Curve> AnAdaptor3dCurve2dPtr =
new Geom2dAdaptor_Curve(AnAdaptor3dCurve2d);
occ::handle<GeomAdaptor_Surface> AnAdaptor3dSurfacePtr =
new GeomAdaptor_Surface(AnAdaptor3dSurface);
Adaptor3d_CurveOnSurface CurveOnSurface(AnAdaptor3dCurve2dPtr, AnAdaptor3dSurfacePtr);
occ::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 = std::max(tolerance, max_deviation) ;
max_deviation = std::max(tolerance, Tolerance);
if (NewCurvePtr.IsNull())
{
return 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), true);
}
}
else
{
return false;
}
}
return true;
}
//=================================================================================================
bool BRepLib::BuildCurves3d(const TopoDS_Shape& S)
{
return BRepLib::BuildCurves3d(S, 1.0e-5);
}
//=================================================================================================
bool BRepLib::BuildCurves3d(const TopoDS_Shape& S,
const double Tolerance,
const GeomAbs_Shape Continuity,
const int MaxDegree,
const int MaxSegment)
{
bool boolean_value, ok = true;
NCollection_Map<TopoDS_Shape, TopTools_ShapeMapHasher> 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;
}
//=================================================================================================
bool BRepLib::UpdateEdgeTol(const TopoDS_Edge& AnEdge,
const double MinToleranceRequested,
const double MaxToleranceToCheck)
{
int 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;
double factor = 100.0e0,
// sampling_array[2],
safe_factor = 1.4e0, current_last, current_first, max_distance, coded_edge_tolerance,
edge_tolerance = 0.0e0;
occ::handle<NCollection_HArray1<double>> parameters_ptr;
occ::handle<BRep_GCurve> geometric_representation_ptr;
if (BRep_Tool::Degenerated(AnEdge))
{
return false;
}
coded_edge_tolerance = BRep_Tool::Tolerance(AnEdge);
if (coded_edge_tolerance > MaxToleranceToCheck)
{
return false;
}
const occ::handle<BRep_TEdge>& TE = *((occ::handle<BRep_TEdge>*)&AnEdge.TShape());
NCollection_List<occ::handle<BRep_CurveRepresentation>>& list_curve_rep = TE->ChangeCurves();
NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator an_iterator(list_curve_rep),
second_iterator(list_curve_rep);
occ::handle<Geom2d_Curve> curve2d_ptr, new_curve2d_ptr;
occ::handle<Geom_Surface> surface_ptr;
TopLoc_Location local_location;
GCPnts_QuasiUniformDeflection a_sampler;
GeomAdaptor_Curve geom_reference_curve;
Adaptor3d_CurveOnSurface curve_on_surface_reference;
occ::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 = occ::down_cast<Geom_Curve>(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 = occ::down_cast<BRep_GCurve>(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 = occ::down_cast<Geom_Surface>(
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);
occ::handle<Geom2dAdaptor_Curve> AnAdaptor3dCurve2dPtr =
new Geom2dAdaptor_Curve(AnAdaptor3dCurve2d);
occ::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);
}
NCollection_Array1<double> 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 NCollection_HArray1<double>(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 = occ::down_cast<BRep_GCurve>(second_iterator.Value());
if (!geometric_representation_ptr.IsNull() && curve_index != curve_on_surface_index)
{
has_closed_curve = has_curve = 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 = true;
}
if (geometric_representation_ptr->IsCurveOnClosedSurface())
{
curve2d_ptr = geometric_representation_ptr->PCurve2();
has_closed_curve = true;
}
if (has_curve || has_closed_curve)
{
if (!local_location.IsIdentity())
{
surface_ptr = occ::down_cast<Geom_Surface>(
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);
occ::handle<Geom2dAdaptor_Curve> an_adaptor_curve2d_ptr =
new Geom2dAdaptor_Curve(an_adaptor_curve2d);
occ::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 = std::max(max_distance, edge_tolerance);
}
}
curve_index += 1;
second_iterator.Next();
}
TE->Tolerance(edge_tolerance);
return true;
}
//=================================================================================================
bool BRepLib::UpdateEdgeTolerance(const TopoDS_Shape& S,
const double MinToleranceRequested,
const double MaxToleranceToCheck)
{
TopExp_Explorer ex(S, TopAbs_EDGE);
NCollection_Map<TopoDS_Shape, TopTools_ShapeMapHasher> a_counter;
bool return_status = 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 = true;
}
}
ex.Next();
}
return return_status;
}
//=================================================================================================
static void GetEdgeTol(const TopoDS_Edge& theEdge, const TopoDS_Face& theFace, double& theEdTol)
{
TopLoc_Location L;
const occ::handle<Geom_Surface>& S = BRep_Tool::Surface(theFace, L);
TopLoc_Location l = L.Predivided(theEdge.Location());
const occ::handle<BRep_TEdge>& TE = *((occ::handle<BRep_TEdge>*)&theEdge.TShape());
NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator itcr(TE->Curves());
while (itcr.More())
{
const occ::handle<BRep_CurveRepresentation>& cr = itcr.Value();
if (cr->IsCurveOnSurface(S, l))
{
return;
}
itcr.Next();
}
occ::handle<Geom_Plane> GP;
occ::handle<Geom_RectangularTrimmedSurface> GRTS;
GRTS = occ::down_cast<Geom_RectangularTrimmedSurface>(S);
if (!GRTS.IsNull())
{
GP = occ::down_cast<Geom_Plane>(GRTS->BasisSurface());
}
else
{
GP = occ::down_cast<Geom_Plane>(S);
}
occ::handle<GeomAdaptor_Curve> HC = new GeomAdaptor_Curve();
occ::handle<GeomAdaptor_Surface> HS = new GeomAdaptor_Surface();
TopLoc_Location LC;
double First, Last;
HC->Load(BRep_Tool::Curve(theEdge, LC, First, Last));
LC = L.Predivided(LC);
if (!LC.IsIdentity())
{
GP = occ::down_cast<Geom_Plane>(GP->Transformed(LC.Transformation()));
}
GeomAdaptor_Surface& GAS = *HS;
GAS.Load(GP);
ProjLib_ProjectedCurve Proj(HS, HC);
occ::handle<Geom2d_Curve> pc = Geom2dAdaptor::MakeCurve(Proj);
gp_Pln pln = GAS.Plane();
double d2 = 0.;
int nn = 23;
double unsurnn = 1. / nn;
for (int i = 0; i <= nn; i++)
{
double t = unsurnn * i;
double 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);
double eps = std::max(Pc3d.XYZ().SquareModulus(), Pcons.XYZ().SquareModulus());
eps = Epsilon(eps);
double 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,
double theNewTol,
NCollection_DataMap<TopoDS_Shape, double, TopTools_ShapeMapHasher>& theShToTol)
{
TopAbs_ShapeEnum aSt = theSh.ShapeType();
double 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 double* anOldtol = theShToTol.Seek(theSh);
if (!anOldtol)
{
theShToTol.Bind(theSh, theNewTol);
}
else
{
theShToTol(theSh) = std::max(*anOldtol, theNewTol);
}
}
}
//=======================================================================
// function : UpdShTol
// purpose : Update vertices/edges/faces according to ShToTol map (create copies of necessary)
//=======================================================================
static void UpdShTol(
const NCollection_DataMap<TopoDS_Shape, double, TopTools_ShapeMapHasher>& theShToTol,
const bool IsMutableInput,
BRepTools_ReShape& theReshaper,
bool theVForceUpdate)
{
BRep_Builder aB;
NCollection_DataMap<TopoDS_Shape, double, TopTools_ShapeMapHasher>::Iterator SHToTolit(
theShToTol);
for (; SHToTolit.More(); SHToTolit.Next())
{
const TopoDS_Shape& aSh = SHToTolit.Key();
double aTol = SHToTolit.Value();
//
TopoDS_Shape aNsh;
const TopoDS_Shape& aVsh = theReshaper.Value(aSh);
bool 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 occ::handle<BRep_TVertex>& aTV = *((occ::handle<BRep_TVertex>*)&aNsh.TShape());
if (theVForceUpdate)
{
aTV->Tolerance(aTol);
}
else
{
aTV->UpdateTolerance(aTol);
}
aTV->Modified(true);
break;
}
default:
break;
}
//
if (!UseOldSh)
{
theReshaper.Replace(aSh, aNsh);
}
}
}
//=================================================================================================
static void InternalSameParameter(const TopoDS_Shape& theSh,
BRepTools_ReShape& theReshaper,
const double theTol,
const bool IsForced,
const bool IsMutableInput)
{
TopExp_Explorer ex(theSh, TopAbs_EDGE);
NCollection_Map<TopoDS_Shape, TopTools_ShapeMapHasher> Done;
BRep_Builder aB;
NCollection_DataMap<TopoDS_Shape, double, TopTools_ShapeMapHasher> aShToTol;
while (ex.More())
{
const TopoDS_Edge& aCE = TopoDS::Edge(ex.Current());
if (Done.Add(aCE))
{
TopoDS_Edge aNE = TopoDS::Edge(theReshaper.Value(aCE));
bool 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 = true;
}
aB.SameRange(aNE, false);
aB.SameParameter(aNE, false);
}
double 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);
double aNewEtol = -1;
GetEdgeTol(TopoDS::Edge(aNe), curface, aNewEtol);
if (aNewEtol >= 0)
{ // not equal to -1
UpdTolMap(E, aNewEtol, aShToTol);
}
}
}
//
UpdShTol(aShToTol, IsMutableInput, theReshaper, false);
InternalUpdateTolerances(theSh, 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 double Tolerance, const bool forced)
{
BRepTools_ReShape reshaper;
InternalSameParameter(S, reshaper, Tolerance, forced, true);
}
//=================================================================================================
void BRepLib::SameParameter(const TopoDS_Shape& S,
BRepTools_ReShape& theReshaper,
const double Tolerance,
const bool forced)
{
InternalSameParameter(S, theReshaper, Tolerance, forced, false);
}
//=================================================================================================
static bool EvalTol(const occ::handle<Geom2d_Curve>& pc,
const occ::handle<Geom_Surface>& s,
const GeomAdaptor_Curve& gac,
const double tol,
double& tolbail)
{
int ok = 0;
double f = gac.FirstParameter();
double l = gac.LastParameter();
Extrema_LocateExtPC Projector;
Projector.Initialize(gac, f, l, tol);
double u, v;
gp_Pnt p;
tolbail = tol;
for (int i = 1; i <= 5; i++)
{
double 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())
{
double dist2 = Projector.SquareDistance();
if (dist2 > tolbail * tolbail)
{
tolbail = sqrt(dist2);
}
ok++;
}
}
return (ok > 2);
}
//=================================================================================================
static double ComputeTol(const occ::handle<Adaptor3d_Curve>& c3d,
const occ::handle<Adaptor2d_Curve2d>& c2d,
const occ::handle<Adaptor3d_Surface>& surf,
const int nbp)
{
NCollection_Array1<double> dist(1, nbp + 10);
dist.Init(-1.);
// Adaptor3d_CurveOnSurface cons(c2d,surf);
double uf = surf->FirstUParameter(), ul = surf->LastUParameter(), vf = surf->FirstVParameter(),
vl = surf->LastVParameter();
double du = 0.01 * (ul - uf), dv = 0.01 * (vl - vf);
bool isUPeriodic = surf->IsUPeriodic(), isVPeriodic = surf->IsVPeriodic();
double DSdu = 1. / surf->UResolution(1.), DSdv = 1. / surf->VResolution(1.);
double d2 = 0.;
double first = c3d->FirstParameter();
double last = c3d->LastParameter();
double dapp = -1.;
for (int i = 0; i <= nbp; ++i)
{
const double t = IntToReal(i) / IntToReal(nbp);
const double 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 = std::max(dapp, DSdu * (uf - Puv.X()));
continue;
}
else if (Puv.X() > ul + du)
{
dapp = std::max(dapp, DSdu * (Puv.X() - ul));
continue;
}
}
if (!isVPeriodic)
{
if (Puv.Y() < vf - dv)
{
dapp = std::max(dapp, DSdv * (vf - Puv.Y()));
continue;
}
else if (Puv.Y() > vl + dv)
{
dapp = std::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;
}
double temp = Pc3d.SquareDistance(Pcons);
dist(i + 1) = temp;
d2 = std::max(d2, temp);
}
if (Precision::IsInfinite(d2))
{
return d2;
}
d2 = std::sqrt(d2);
if (dapp > d2)
{
return dapp;
}
bool ana = false;
double D2 = 0;
int N1 = 0;
int N2 = 0;
int N3 = 0;
for (int 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 = true;
for (int i = 1; i <= nbp + 10; ++i)
{
if (dist(i) > 0 && dist(i) < 1.0)
{
D2 = std::max(D2, dist(i));
}
}
}
// d2 = 1.5*sqrt(d2);
d2 = (!ana) ? 1.5 * d2 : 1.5 * sqrt(D2);
d2 = std::max(d2, 1.e-7);
return d2;
}
//=================================================================================================
static void GetCurve3d(const TopoDS_Edge& theEdge,
occ::handle<Geom_Curve>& theC3d,
double& theF3d,
double& theL3d,
TopLoc_Location& theLoc3d,
NCollection_List<occ::handle<BRep_CurveRepresentation>>& theCList)
{
const occ::handle<BRep_TEdge>& aTE = *((occ::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
NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator anIt(theCList);
bool NotDone = true;
while (NotDone && anIt.More())
{
occ::handle<BRep_GCurve> GCurve = occ::down_cast<BRep_GCurve>(anIt.Value());
if (!GCurve.IsNull() && GCurve->IsCurve3D())
{
theC3d = GCurve->Curve3D();
theF3d = GCurve->First();
theL3d = GCurve->Last();
theLoc3d = GCurve->Location();
NotDone = false;
}
anIt.Next();
}
}
//=================================================================================================
void UpdateVTol(const TopoDS_Vertex& theV1, const TopoDS_Vertex& theV2, double 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 double theTolerance)
{
double aNewTol = -1;
SameParameter(theEdge, theTolerance, aNewTol, 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 double theTolerance,
double& theNewTol,
bool IsUseOldEdge)
{
if (BRep_Tool::SameParameter(theEdge))
{
return TopoDS_Edge();
}
double f3d = 0., l3d = 0.;
TopLoc_Location L3d;
occ::handle<Geom_Curve> C3d;
NCollection_List<occ::handle<BRep_CurveRepresentation>> CList;
GetCurve3d(theEdge, C3d, f3d, l3d, L3d, CList);
if (C3d.IsNull())
{
return TopoDS_Edge();
}
BRep_Builder B;
TopoDS_Edge aNE;
occ::handle<BRep_TEdge> aNTE;
if (IsUseOldEdge)
{
aNE = theEdge;
aNTE = *((occ::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 = *((occ::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());
}
}
NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator It(CList);
const int NCONTROL = 22;
occ::handle<GeomAdaptor_Curve> HC = new GeomAdaptor_Curve();
occ::handle<Geom2dAdaptor_Curve> HC2d = new Geom2dAdaptor_Curve();
occ::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 :
bool m_TrimmedPeriodical = false;
occ::handle<Standard_Type> TheType = C3d->DynamicType();
if (TheType == STANDARD_TYPE(Geom_TrimmedCurve))
{
occ::handle<Geom_Curve> gtC(occ::down_cast<Geom_TrimmedCurve>(C3d)->BasisCurve());
m_TrimmedPeriodical = gtC->IsPeriodic();
}
// modified by NIZHNY-OCC486 Tue Aug 27 17:15:17 2002 .
if (!C3d->IsPeriodic())
{
double Udeb = C3d->FirstParameter();
double 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 = occ::down_cast<Geom_Curve>(C3d->Transformed(L3d.Transformation()));
}
GAC.Load(C3d, f3d, l3d);
double Prec_C3d = BRepCheck::PrecCurve(GAC);
bool IsSameP = true;
double maxdist = 0.;
// Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898 Begin
double anEdgeTol = BRep_Tool::Tolerance(aNE);
// Modified by skv - Thu Jun 3 12:39:20 2004 OCC5898 End
bool SameRange = BRep_Tool::SameRange(aNE);
bool YaPCu = false;
const double BigError = 1.e10;
It.Initialize(CList);
while (It.More())
{
bool isANA = false;
bool isBSP = false;
occ::handle<BRep_GCurve> GCurve = occ::down_cast<BRep_GCurve>(It.Value());
occ::handle<Geom2d_Curve> PC[2];
occ::handle<Geom_Surface> S;
if (!GCurve.IsNull() && GCurve->IsCurveOnSurface())
{
YaPCu = true;
PC[0] = GCurve->PCurve();
TopLoc_Location PCLoc = GCurve->Location();
S = GCurve->Surface();
if (!PCLoc.IsIdentity())
{
S = occ::down_cast<Geom_Surface>(S->Transformed(PCLoc.Transformation()));
}
GAS.Load(S);
if (GCurve->IsCurveOnClosedSurface())
{
PC[1] = GCurve->PCurve2();
}
// Eval tol2d to compute SameRange
double TolSameRange = std::max(GAC.Resolution(theTolerance), Precision::PConfusion());
for (int i = 0; i < 2; i++)
{
occ::handle<Geom2d_Curve> curPC = PC[i];
bool updatepc = false;
if (curPC.IsNull())
{
break;
}
if (!SameRange)
{
GeomLib::SameRange(TolSameRange, PC[i], GCurve->First(), GCurve->Last(), f3d, l3d, curPC);
updatepc = (curPC != PC[i]);
}
bool goodpc = true;
GAC2d.Load(curPC, f3d, l3d);
double error = ComputeTol(HC, HC2d, HS, NCONTROL);
if (error > BigError)
{
maxdist = error;
break;
}
if (GAC2d.GetType() == GeomAbs_BSplineCurve && GAC2d.Continuity() == GeomAbs_C0)
{
double UResol = GAS.UResolution(theTolerance);
double VResol = GAS.VResolution(theTolerance);
double TolConf2d = std::min(UResol, VResol);
TolConf2d = std::max(TolConf2d, Precision::PConfusion());
occ::handle<Geom2d_BSplineCurve> bs2d = GAC2d.BSpline();
occ::handle<Geom2d_BSplineCurve> bs2dsov = bs2d;
double fC0 = bs2d->FirstParameter(), lC0 = bs2d->LastParameter();
bool repar = true;
gp_Pnt2d OriginPoint;
bs2d->D0(fC0, OriginPoint);
Geom2dConvert::C0BSplineToC1BSplineCurve(bs2d, TolConf2d);
isBSP = true;
if (bs2d->IsPeriodic())
{ // -------- IFV, Jan 2000
gp_Pnt2d NewOriginPoint;
bs2d->D0(bs2d->FirstParameter(), NewOriginPoint);
if (std::abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion()
|| std::abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion())
{
NCollection_Array1<double> Knotbs2d(bs2d->Knots());
for (int Index = 1; Index <= bs2d->NbKnots(); Index++)
{
bs2d->D0(Knotbs2d(Index), NewOriginPoint);
if (std::abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion()
|| std::abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion())
{
continue;
}
bs2d->SetOrigin(Index);
break;
}
}
}
if (bs2d->Continuity() == GeomAbs_C0)
{
double tolbail;
if (EvalTol(curPC, S, GAC, theTolerance, tolbail))
{
bs2d = bs2dsov;
double UResbail = GAS.UResolution(tolbail);
double VResbail = GAS.VResolution(tolbail);
double Tol2dbail = std::min(UResbail, VResbail);
bs2d->D0(bs2d->FirstParameter(), OriginPoint);
int nbp = bs2d->NbPoles();
const NCollection_Array1<gp_Pnt2d>& poles = bs2d->Poles();
gp_Pnt2d p = poles(1), p1;
double d = Precision::Infinite();
for (int ip = 2; ip <= nbp; ip++)
{
p1 = poles(ip);
d = std::min(d, p.SquareDistance(p1));
p = p1;
}
d = sqrt(d) * .1;
Tol2dbail = std::max(std::min(Tol2dbail, d), TolConf2d);
Geom2dConvert::C0BSplineToC1BSplineCurve(bs2d, Tol2dbail);
if (bs2d->IsPeriodic())
{ // -------- IFV, Jan 2000
gp_Pnt2d NewOriginPoint;
bs2d->D0(bs2d->FirstParameter(), NewOriginPoint);
if (std::abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion()
|| std::abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion())
{
const NCollection_Array1<double>& Knotbs2d = bs2d->Knots();
for (int Index = 1; Index <= bs2d->NbKnots(); Index++)
{
bs2d->D0(Knotbs2d(Index), NewOriginPoint);
if (std::abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion()
|| std::abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion())
{
continue;
}
bs2d->SetOrigin(Index);
break;
}
}
}
if (bs2d->Continuity() == GeomAbs_C0)
{
goodpc = true;
bs2d = bs2dsov;
repar = false;
}
}
else
{
goodpc = false;
}
}
if (goodpc)
{
if (repar)
{
NCollection_Array1<double> Knots(bs2d->Knots());
// BSplCLib::Reparametrize(f3d,l3d,Knots);
BSplCLib::Reparametrize(fC0, lC0, Knots);
bs2d->SetKnots(Knots);
GAC2d.Load(bs2d, f3d, l3d);
curPC = bs2d;
bool updatepcsov = updatepc;
updatepc = true;
double error1 = ComputeTol(HC, HC2d, HS, NCONTROL);
if (error1 > error)
{
bs2d = bs2dsov;
GAC2d.Load(bs2d, f3d, l3d);
curPC = bs2d;
updatepc = updatepcsov;
isANA = true;
}
else
{
error = error1;
}
}
// check, if new BSpline "good" or not --------- IFV, Jan of 2000
GeomAbs_Shape cont = bs2d->Continuity();
bool IsBad = false;
if (cont > GeomAbs_C0 && error > std::max(1.e-3, theTolerance))
{
int NbKnots = bs2d->NbKnots();
const NCollection_Array1<double>& Knots = bs2d->Knots();
double critratio = 10.;
double dtprev = Knots(2) - Knots(1), dtratio = 1.;
double dtmin = dtprev;
double dtcur;
for (int j = 2; j < NbKnots; j++)
{
dtcur = Knots(j + 1) - Knots(j);
dtmin = std::min(dtmin, dtcur);
if (IsBad)
{
continue;
}
if (dtcur > dtprev)
{
dtratio = dtcur / dtprev;
}
else
{
dtratio = dtprev / dtcur;
}
if (dtratio > critratio)
{
IsBad = true;
}
dtprev = dtcur;
}
if (IsBad)
{
// To avoid failures in Approx_CurvilinearParameter
bs2d->Resolution(std::max(1.e-3, theTolerance), dtcur);
if (dtmin < dtcur)
{
IsBad = 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;
}
int maxdeg = bs2d->Degree();
if (maxdeg == 1)
{
maxdeg = 14;
}
Approx_CurvilinearParameter AppCurPar(HC2d,
HS,
std::max(1.e-3, theTolerance),
cont,
maxdeg,
10);
if (AppCurPar.IsDone() || AppCurPar.HasResult())
{
bs2d = AppCurPar.Curve2d1();
GAC2d.Load(bs2d, f3d, l3d);
curPC = bs2d;
if (std::abs(bs2d->FirstParameter() - fC0) > TolSameRange
|| std::abs(bs2d->LastParameter() - lC0) > TolSameRange)
{
NCollection_Array1<double> Knots(bs2d->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);
double aTol = (isANA && isBSP) ? 1.e-7 : theTolerance;
const occ::handle<Adaptor3d_Curve>& aHCurv = HC; // to avoid ambiguity
const occ::handle<Adaptor2d_Curve2d>& aHCurv2d = HC2d; // to avoid ambiguity
Approx_SameParameter SameP(aHCurv, aHCurv2d, HS, aTol);
if (SameP.IsSameParameter())
{
maxdist = std::max(maxdist, SameP.TolReached());
if (updatepc)
{
if (i == 0)
{
GCurve->PCurve(curPC);
}
else
{
GCurve->PCurve2(curPC);
}
}
}
else if (SameP.IsDone())
{
double tolreached = SameP.TolReached();
if (tolreached <= error)
{
curPC = SameP.Curve2d();
updatepc = true;
maxdist = std::max(maxdist, tolreached);
}
else
{
maxdist = std::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 = false;
}
}
else
{
IsSameP = false;
}
// Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898 Begin
if (!IsSameP)
{
double Prec_Surf = BRepCheck::PrecSurface(HS);
double CurTol = anEdgeTol + std::max(Prec_C3d, Prec_Surf);
if (CurTol >= error)
{
maxdist = std::max(maxdist, anEdgeTol);
IsSameP = true;
}
}
// Modified by skv - Thu Jun 3 12:39:20 2004 OCC5898 End
}
}
It.Next();
}
B.Range(aNE, f3d, l3d);
B.SameRange(aNE, 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 = std::max(maxdist, Precision::Confusion());
theNewTol = maxdist;
aNTE->Modified(true);
aNTE->Tolerance(maxdist);
}
B.SameParameter(aNE, true);
}
return aNE;
}
//=================================================================================================
static void InternalUpdateTolerances(const TopoDS_Shape& theOldShape,
const bool IsVerifyTolerance,
const bool IsMutableInput,
BRepTools_ReShape& theReshaper)
{
NCollection_DataMap<TopoDS_Shape, double, TopTools_ShapeMapHasher> aShToTol;
// Harmonize tolerances
// with rule Tolerance(VERTEX)>=Tolerance(EDGE)>=Tolerance(FACE)
double tol = 0;
if (IsVerifyTolerance)
{
// Set tolerance to its minimum value
occ::handle<Geom_Surface> S;
TopLoc_Location l;
TopExp_Explorer ex;
Bnd_Box aB;
double 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 = occ::down_cast<Geom_RectangularTrimmedSurface>(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
NCollection_IndexedDataMap<TopoDS_Shape, NCollection_List<TopoDS_Shape>, TopTools_ShapeMapHasher>
parents;
TopExp::MapShapesAndAncestors(theOldShape, TopAbs_EDGE, TopAbs_FACE, parents);
NCollection_List<TopoDS_Shape>::Iterator lConx;
int 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());
double 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 = std::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 double BigTol = 1.e10;
parents.Clear();
TopExp::MapShapesAndUniqueAncestors(theOldShape, TopAbs_VERTEX, TopAbs_EDGE, parents);
NCollection_Map<occ::handle<Standard_Transient>> Initialized;
int 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);
double aMaxDist = 0.;
gp_Pnt p3d;
for (lConx.Initialize(parents(iCur)); lConx.More(); lConx.Next())
{
const TopoDS_Edge& E = TopoDS::Edge(lConx.Value());
const double* aNtol = aShToTol.Seek(E);
tol = std::max(tol, aNtol ? *aNtol : BRep_Tool::Tolerance(E));
if (tol > BigTol)
{
continue;
}
if (!BRep_Tool::SameRange(E))
{
continue;
}
double par = BRep_Tool::Parameter(V, E);
occ::handle<BRep_TEdge>& TE = *((occ::handle<BRep_TEdge>*)&E.TShape());
NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator itcr(TE->Curves());
const TopLoc_Location& Eloc = E.Location();
while (itcr.More())
{
// For each CurveRepresentation, check the provided parameter
const occ::handle<BRep_CurveRepresentation>& cr = itcr.Value();
const TopLoc_Location& loc = cr->Location();
TopLoc_Location L = (Eloc * loc);
if (cr->IsCurve3D())
{
const occ::handle<Geom_Curve>& C = cr->Curve3D();
if (!C.IsNull())
{ // edge non degenerated
p3d = C->Value(par);
p3d.Transform(L.Transformation());
double aDist = p3d.SquareDistance(aPV);
if (aDist > aMaxDist)
{
aMaxDist = aDist;
}
}
}
else if (cr->IsCurveOnSurface())
{
const occ::handle<Geom_Surface>& Su = cr->Surface();
const occ::handle<Geom2d_Curve>& PC = cr->PCurve();
occ::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());
double 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 = std::max(tol, sqrt(aMaxDist));
tol += 2. * Epsilon(tol);
//
double aVTol = BRep_Tool::Tolerance(V);
bool anUpdTol = tol > aVTol;
const occ::handle<BRep_TVertex>& aTV = *((occ::handle<BRep_TVertex>*)&V.TShape());
bool toAdd = 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, true);
}
//=================================================================================================
void BRepLib::UpdateTolerances(const TopoDS_Shape& S, const bool verifyFaceTolerance)
{
BRepTools_ReShape aReshaper;
InternalUpdateTolerances(S, verifyFaceTolerance, true, aReshaper);
}
//=================================================================================================
void BRepLib::UpdateTolerances(const TopoDS_Shape& S,
BRepTools_ReShape& theReshaper,
const bool verifyFaceTolerance)
{
InternalUpdateTolerances(S, verifyFaceTolerance, false, theReshaper);
}
//=================================================================================================
void BRepLib::UpdateInnerTolerances(const TopoDS_Shape& aShape)
{
NCollection_IndexedDataMap<TopoDS_Shape, NCollection_List<TopoDS_Shape>, TopTools_ShapeMapHasher>
EFmap;
TopExp::MapShapesAndAncestors(aShape, TopAbs_EDGE, TopAbs_FACE, EFmap);
BRep_Builder BB;
for (int 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);
double fpar, lpar;
BRep_Tool::Range(anEdge, fpar, lpar);
double TolEdge = BRep_Tool::Tolerance(anEdge);
gp_Pnt Pnt1, Pnt2;
occ::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<occ::handle<Adaptor3d_Curve>> theRep;
theRep.Append(anHCurve);
NCollection_List<TopoDS_Shape>::Iterator itl(EFmap(i));
for (; itl.More(); itl.Next())
{
const TopoDS_Face& aFace = TopoDS::Face(itl.Value());
occ::handle<BRepAdaptor_Curve> anHCurvOnSurf = new BRepAdaptor_Curve();
anHCurvOnSurf->Initialize(anEdge, aFace);
theRep.Append(anHCurvOnSurf);
}
const int NbSamples = (BRep_Tool::SameParameter(anEdge)) ? 23 : 2;
double delta = (lpar - fpar) / (NbSamples - 1);
double MaxDist = 0.;
for (int j = 2; j <= theRep.Length(); j++)
{
for (int k = 0; k <= NbSamples; k++)
{
double ParamOnCenter = (k == NbSamples) ? lpar : fpar + k * delta;
gp_Pnt Center = theRep(1)->Value(ParamOnCenter);
double ParamOnCurve =
(BRep_Tool::SameParameter(anEdge))
? ParamOnCenter
: ((k == 0) ? theRep(j)->FirstParameter() : theRep(j)->LastParameter());
gp_Pnt aPoint = theRep(j)->Value(ParamOnCurve);
double 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())
{
double aDist1 = Pnt1.Distance(aPoint);
aDist1 += 2. * Epsilon(aDist1);
BB.UpdateVertex(V1, aDist1);
}
if (k == NbSamples && !V2.IsNull())
{
double 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);
double dist1 = Pnt1.Distance(End1);
dist1 += 2. * Epsilon(dist1);
BB.UpdateVertex(V1, std::max(dist1, TolEdge));
}
if (!V2.IsNull())
{
gp_Pnt End2 = anHCurve->Value(lpar);
double dist2 = Pnt2.Distance(End2);
dist2 += 2. * Epsilon(dist2);
BB.UpdateVertex(V2, std::max(dist2, TolEdge));
}
}
}
//=================================================================================================
bool 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 false;
}
return true;
}
// Structure for calculation of properties, necessary for decision about continuity
class SurfaceProperties
{
public:
SurfaceProperties(const occ::handle<Geom_Surface>& theSurface,
const gp_Trsf& theSurfaceTrsf,
const occ::handle<Geom2d_Curve>& theCurve2D,
const bool 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 double 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());
double 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,
double& theCurvature1,
gp_Dir& thePrincipalDir2,
double& 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;
occ::handle<Geom2d_Curve> myCurve2d;
bool 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 double theAngleTol)
{
bool isSeam = theFace1.IsEqual(theFace2);
TopoDS_Edge anEdgeInFace1, anEdgeInFace2;
occ::handle<Geom2d_Curve> aCurve1, aCurve2;
double 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;
occ::handle<Geom_Surface> aSurface1 = BRep_Tool::Surface(theFace1, aLoc1);
const gp_Trsf& aSurf1Trsf = aLoc1.Transformation();
occ::handle<Geom_Surface> aSurface2 = BRep_Tool::Surface(theFace2, aLoc2);
const gp_Trsf& aSurf2Trsf = aLoc2.Transformation();
if (aSurface1->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface)))
{
aSurface1 = occ::down_cast<Geom_RectangularTrimmedSurface>(aSurface1)->BasisSurface();
}
if (aSurface2->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface)))
{
aSurface2 = occ::down_cast<Geom_RectangularTrimmedSurface>(aSurface2)->BasisSurface();
}
// seam edge on elementary surface is always CN
bool 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);
double f, l, eps;
BRep_Tool::Range(theEdge, f, l);
Extrema_LocateExtPC ext;
occ::handle<BRepAdaptor_Curve> aHC2;
eps = (l - f) / 100.;
f += eps; // to avoid calculations on
l -= eps; // points of pointed squares.
const double anAngleTol2 = theAngleTol * theAngleTol;
gp_Vec aDer1, aDer2;
double aSqLen1, aSqLen2;
gp_Dir aCrvDir1[2], aCrvDir2[2];
double aCrvLen1[2], aCrvLen2[2];
GeomAbs_Shape aCont = (isElementary ? GeomAbs_CN : GeomAbs_C2);
GeomAbs_Shape aCurCont;
double u;
for (int 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();
bool 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 (std::abs(std::sqrt(aSqLen1) - std::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 (int aStep = 0; aStep <= 1; ++aStep)
{
if (aCrvDir1[0].XYZ().CrossSquareMagnitude(aCrvDir2[aStep].XYZ())
<= Precision::SquareConfusion()
&& std::abs(aCrvLen1[0] - aCrvLen2[aStep]) < Precision::Confusion()
&& aCrvDir1[1].XYZ().CrossSquareMagnitude(aCrvDir2[1 - aStep].XYZ())
<= Precision::SquareConfusion()
&& std::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 double theTolAng,
NCollection_Map<TopoDS_Shape, TopTools_ShapeMapHasher>& theMap,
const NCollection_Map<TopoDS_Shape, TopTools_ShapeMapHasher>& theEdgesToEncode =
NCollection_Map<TopoDS_Shape, TopTools_ShapeMapHasher>())
{
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
NCollection_IndexedDataMap<TopoDS_Shape,
NCollection_List<TopoDS_Shape>,
TopTools_ShapeMapHasher>
M;
TopExp::MapShapesAndAncestors(aShape, TopAbs_EDGE, TopAbs_FACE, M);
NCollection_List<TopoDS_Shape>::Iterator It;
TopExp_Explorer Ex;
TopoDS_Face F1, F2;
for (int 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;
}
}
bool found = 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 = 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 = 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 double TolAng)
{
NCollection_Map<TopoDS_Shape, TopTools_ShapeMapHasher> 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 NCollection_List<TopoDS_Shape>& LE,
const double TolAng)
{
// Collect edges without location and orientation
NCollection_Map<TopoDS_Shape, TopTools_ShapeMapHasher> aPureEdges;
TopLoc_Location aNullLoc;
NCollection_List<TopoDS_Shape>::Iterator anEdgeIt(LE);
for (; anEdgeIt.More(); anEdgeIt.Next())
{
TopoDS_Shape anEdge = anEdgeIt.Value();
anEdge.Location(aNullLoc);
anEdge.Orientation(TopAbs_FORWARD);
aPureEdges.Add(anEdge);
}
NCollection_Map<TopoDS_Shape, TopTools_ShapeMapHasher> 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 double 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.
//=======================================================================
bool BRepLib::EnsureNormalConsistency(const TopoDS_Shape& theShape,
const double theAngTol,
const bool theForceComputeNormals)
{
const double aThresDot = cos(theAngTol);
bool aRetVal = false, isNormalsFound = 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 occ::handle<Geom_Surface> aSurf = BRep_Tool::Surface(aFace);
if (aSurf.IsNull())
{
continue;
}
TopLoc_Location aLoc;
const occ::handle<Poly_Triangulation>& aPT = BRep_Tool::Triangulation(aFace, aLoc);
if (aPT.IsNull())
{
continue;
}
if (!theForceComputeNormals && aPT->HasNormals())
{
isNormalsFound = true;
continue;
}
aPT->AddNormals();
GeomLProp_SLProps aSLP(aSurf, 2, Precision::Confusion());
for (int 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, NCollection_Vec3<float>(0.0f));
}
else
{
gp_Dir aNorm = aSLP.Normal();
if (aFace.Orientation() == TopAbs_REVERSED)
{
aNorm.Reverse();
}
aPT->SetNormal(i, aNorm);
}
}
aRetVal = true;
isNormalsFound = true;
}
if (!isNormalsFound)
{
return aRetVal;
}
// loop by edges
NCollection_IndexedDataMap<TopoDS_Shape, NCollection_List<TopoDS_Shape>, TopTools_ShapeMapHasher>
aMapEF;
TopExp::MapShapesAndAncestors(theShape, TopAbs_EDGE, TopAbs_FACE, aMapEF);
for (int anInd = 1; anInd <= aMapEF.Extent(); anInd++)
{
const TopoDS_Edge& anEdg = TopoDS::Edge(aMapEF.FindKey(anInd));
const NCollection_List<TopoDS_Shape>& anEdgList = aMapEF.FindFromIndex(anInd);
if (anEdgList.Extent() != 2)
{
continue;
}
NCollection_List<TopoDS_Shape>::Iterator 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 occ::handle<Poly_Triangulation>& aPT1 = BRep_Tool::Triangulation(aFace1, aLoc1);
const occ::handle<Poly_Triangulation>& aPT2 = BRep_Tool::Triangulation(aFace2, aLoc2);
if (aPT1.IsNull() || aPT2.IsNull())
{
continue;
}
if (!aPT1->HasNormals() || !aPT2->HasNormals())
{
continue;
}
const occ::handle<Poly_PolygonOnTriangulation>& aPTEF1 =
BRep_Tool::PolygonOnTriangulation(anEdg, aPT1, aLoc1);
const occ::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 (int anEdgNode = aPTEF1->Nodes().Lower(); anEdgNode <= aPTEF1->Nodes().Upper(); anEdgNode++)
{
// Number of node
const int aFNodF1 = aPTEF1->Nodes().Value(anEdgNode);
const int aFNodF2 = aPTEF2->Nodes().Value(anEdgNode);
NCollection_Vec3<float> 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 double aDot = aNorm1 * aNorm2;
if (aDot > aThresDot)
{
gp_XYZ aNewNorm = (aNorm1 + aNorm2).Normalized();
aPT1->SetNormal(aFNodF1, aNewNorm);
aPT2->SetNormal(aFNodF2, aNewNorm);
aRetVal = 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.
double 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
{
int Node[2];
//! Constructor
Link(const int theNode1, const int theNode2)
{
Node[0] = theNode1;
Node[1] = theNode2;
}
//! Returns true if this link has the same nodes as the other.
bool 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.
bool 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 occ::handle<Geom_Surface> aSurf = BRep_Tool::Surface(aFace);
if (aSurf.IsNull())
{
continue;
}
TopLoc_Location aLoc;
const occ::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<int> 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 occ::handle<Poly_PolygonOnTriangulation>& aPolygon =
BRep_Tool::PolygonOnTriangulation(aEdge, aPT, aLoc);
if (aPolygon.IsNull())
{
continue;
}
for (int aNodeIt = aPolygon->Nodes().Lower(); aNodeIt <= aPolygon->Nodes().Upper();
++aNodeIt)
{
aDegNodes.Add(aPolygon->Node(aNodeIt));
}
}
}
EvalDeflection aTool(aFace);
NCollection_Map<Link> aLinks;
double aSqDeflection = 0.;
const gp_Trsf& aTrsf = aLoc.Transformation();
for (int 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 = std::max(aSqDeflection, aTool.Eval(aMid2d_t, aMid3d_t));
for (int i = 0; i < 3; ++i)
{
const int 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 = std::max(aSqDeflection, aTool.Eval(aMid2d_l, aMid3d_l));
}
}
}
aPT->Deflection(std::sqrt(aSqDeflection));
}
}
//=================================================================================================
void BRepLib::SortFaces(const TopoDS_Shape& Sh, NCollection_List<TopoDS_Shape>& LF)
{
LF.Clear();
NCollection_List<TopoDS_Shape> LTri, LPlan, LCyl, LCon, LSphere, LTor, LOther;
TopExp_Explorer exp(Sh, TopAbs_FACE);
TopLoc_Location l;
occ::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 = occ::down_cast<Geom_RectangularTrimmedSurface>(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, NCollection_List<TopoDS_Shape>& LF)
{
LF.Clear();
// Use the allocator of the result LF for intermediate results
NCollection_List<TopoDS_Shape> 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 occ::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,
double& theNewTol)
{
int aNb;
//
aNb = theLV.Extent();
if (aNb < 2)
{
return;
}
//
else if (aNb == 2)
{
int m, n;
double 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
{
double 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
int 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((double)aNb);
//
gp_Pnt aP(aXYZ);
//
// compute the tolerance for the new vertex
double 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 double theExtVal,
const bool theExtUMin,
const bool theExtUMax,
const bool theExtVMin,
const bool theExtVMax,
TopoDS_Face& theFExtended)
{
// Get face bounds
BRepAdaptor_Surface aBAS(theF);
double aFUMin = aBAS.FirstUParameter(), aFUMax = aBAS.LastUParameter(),
aFVMin = aBAS.FirstVParameter(), aFVMax = aBAS.LastVParameter();
const double aTol = BRep_Tool::Tolerance(theF);
// Surface to build the face
occ::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
occ::handle<Geom_Surface> aSurf = aBAS.GeomSurfaceTransformed();
// Get bounds of the basis surface
double aSUMin, aSUMax, aSVMin, aSVMax;
aSurf->Bounds(aSUMin, aSUMax, aSVMin, aSVMax);
bool isUPeriodic = aBAS.IsUPeriodic();
double anUPeriod = isUPeriodic ? aBAS.UPeriod() : 0.0;
if (isUPeriodic)
{
// Adjust face bounds to first period
double aDelta = aFUMax - aFUMin;
aFUMin = std::max(aSUMin, aFUMin + anUPeriod * std::ceil((aSUMin - aFUMin) / anUPeriod));
aFUMax = aFUMin + aDelta;
}
bool isVPeriodic = aBAS.IsVPeriodic();
double aVPeriod = isVPeriodic ? aBAS.VPeriod() : 0.0;
if (isVPeriodic)
{
// Adjust face bounds to first period
double aDelta = aFVMax - aFVMin;
aFVMin = std::max(aSVMin, aFVMin + aVPeriod * std::ceil((aSVMin - aFVMin) / aVPeriod));
aFVMax = aFVMin + aDelta;
}
// Enlarge the face
double anURes = 0., aVRes = 0.;
if (theExtUMin || theExtUMax)
{
anURes = aBAS.UResolution(theExtVal);
}
if (theExtVMin || theExtVMax)
{
aVRes = aBAS.VResolution(theExtVal);
}
if (theExtUMin)
{
aFUMin = std::max(aSUMin, aFUMin - anURes);
}
if (theExtUMax)
{
aFUMax = std::min(isUPeriodic ? aFUMin + anUPeriod : aSUMax, aFUMax + anURes);
}
if (theExtVMin)
{
aFVMin = std::max(aSVMin, aFVMin - aVRes);
}
if (theExtVMax)
{
aFVMax = std::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 double anEps = Precision::PConfusion();
if (isUPeriodic && std::abs(aFUMax - aFUMin - anUPeriod) < anEps)
{
aFUMin = aSUMin;
aFUMax = aSUMax;
}
if (isVPeriodic && std::abs(aFVMax - aFVMin - aVPeriod) < anEps)
{
aFVMin = aSVMin;
aFVMax = aSVMax;
}
aS = aSurf;
}
else
{
// General case
occ::handle<Geom_BoundedSurface> aSB =
occ::down_cast<Geom_BoundedSurface>(BRep_Tool::Surface(theF));
if (aSB.IsNull())
{
theFExtended = theF;
return;
}
// Get surfaces bounds
double aSUMin, aSUMax, aSVMin, aSVMax;
aSB->Bounds(aSUMin, aSUMax, aSVMin, aSVMax);
bool isUClosed = aSB->IsUClosed();
bool isVClosed = aSB->IsVClosed();
// Check if the extension in necessary directions is done
bool isExtUMin = false, isExtUMax = false, isExtVMin = false, isExtVMax = false;
// UMin
if (theExtUMin && !isUClosed && !Precision::IsInfinite(aSUMin))
{
GeomLib::ExtendSurfByLength(aSB, theExtVal, 1, true, false);
isExtUMin = true;
}
// UMax
if (theExtUMax && !isUClosed && !Precision::IsInfinite(aSUMax))
{
GeomLib::ExtendSurfByLength(aSB, theExtVal, 1, true, true);
isExtUMax = true;
}
// VMin
if (theExtVMin && !isVClosed && !Precision::IsInfinite(aSVMax))
{
GeomLib::ExtendSurfByLength(aSB, theExtVal, 1, false, false);
isExtVMin = true;
}
// VMax
if (theExtVMax && !isVClosed && !Precision::IsInfinite(aSVMax))
{
GeomLib::ExtendSurfByLength(aSB, theExtVal, 1, false, true);
isExtVMax = 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();
}
}