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// File: Geom2dAPI_PointsToBSpline.cxx
// Created: Wed Mar 23 15:28:27 1994
// Author: Bruno DUMORTIER
// <dub@fuegox>
#include <Geom2dAPI_PointsToBSpline.ixx>
#include <AppDef_BSplineCompute.hxx>
#include <AppDef_MultiLine.hxx>
#include <AppParCurves_MultiBSpCurve.hxx>
#include <BSplCLib.hxx>
#include <TColStd_Array1OfInteger.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <TColgp_Array1OfPnt2d.hxx>
#include <math_Vector.hxx>
#include <AppDef_MultiPointConstraint.hxx>
#include <AppParCurves_HArray1OfConstraintCouple.hxx>
#include <AppDef_TheVariational.hxx>
//=======================================================================
//function : Geom2dAPI_PointsToBSpline
//purpose :
//=======================================================================
Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline()
{
myIsDone = Standard_False;
}
//=======================================================================
//function : Geom2dAPI_PointsToBSpline
//purpose :
//=======================================================================
Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline
(const TColgp_Array1OfPnt2d& Points,
const Standard_Integer DegMin,
const Standard_Integer DegMax,
const GeomAbs_Shape Continuity,
const Standard_Real Tol2D)
{
Init(Points,DegMin,DegMax,Continuity,Tol2D);
}
//=======================================================================
//function : Geom2dAPI_PointsToBSpline
//purpose :
//=======================================================================
Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline
(const TColStd_Array1OfReal& YValues,
const Standard_Real X0,
const Standard_Real DX,
const Standard_Integer DegMin,
const Standard_Integer DegMax,
const GeomAbs_Shape Continuity,
const Standard_Real Tol2D)
{
Init(YValues,X0,DX,DegMin,DegMax,Continuity,Tol2D);
}
//=======================================================================
//function : Geom2dAPI_PointsToBSpline
//purpose :
//=======================================================================
Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline
(const TColgp_Array1OfPnt2d& Points,
const Approx_ParametrizationType ParType,
const Standard_Integer DegMin,
const Standard_Integer DegMax,
const GeomAbs_Shape Continuity,
const Standard_Real Tol2D)
{
myIsDone = Standard_False;
Init(Points,ParType,DegMin,DegMax,Continuity,Tol2D);
}
//=======================================================================
//function : Geom2dAPI_PointsToBSpline
//purpose :
//=======================================================================
Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline
(const TColgp_Array1OfPnt2d& Points,
const TColStd_Array1OfReal& Params,
const Standard_Integer DegMin,
const Standard_Integer DegMax,
const GeomAbs_Shape Continuity,
const Standard_Real Tol2D)
{
myIsDone = Standard_False;
Init(Points,Params,DegMin,DegMax,Continuity,Tol2D);
}
//=======================================================================
//function : Geom2dAPI_PointsToBSpline
//purpose :
//=======================================================================
Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline
(const TColgp_Array1OfPnt2d& Points,
const Standard_Real W1,
const Standard_Real W2,
const Standard_Real W3,
const Standard_Integer DegMax,
const GeomAbs_Shape Continuity,
const Standard_Real Tol2D)
{
myIsDone = Standard_False;
Init(Points,W1,W2,W3,DegMax,Continuity,Tol2D);
}
//=======================================================================
//function : Init
//purpose :
//=======================================================================
void Geom2dAPI_PointsToBSpline::Init
(const TColgp_Array1OfPnt2d& Points,
const Approx_ParametrizationType ParType,
const Standard_Integer DegMin,
const Standard_Integer DegMax,
const GeomAbs_Shape Continuity,
const Standard_Real Tol2D)
{
Standard_Real Tol3D = 0.; // dummy argument for BSplineCompute.
Standard_Integer nbit = 2;
Standard_Boolean UseSquares = Standard_False;
if(Tol2D <= 1.e-3) UseSquares = Standard_True;
AppDef_BSplineCompute TheComputer
(DegMin,DegMax,Tol3D,Tol2D,nbit,Standard_True,ParType,UseSquares);
switch( Continuity) {
case GeomAbs_C0:
TheComputer.SetContinuity(0); break;
case GeomAbs_G1:
case GeomAbs_C1:
TheComputer.SetContinuity(1); break;
case GeomAbs_G2:
case GeomAbs_C2:
TheComputer.SetContinuity(2); break;
default:
TheComputer.SetContinuity(3);
}
TheComputer.Perform(Points);
AppParCurves_MultiBSpCurve TheCurve = TheComputer.Value();
TColgp_Array1OfPnt2d Poles(1,TheCurve.NbPoles());
TheCurve.Curve(1, Poles);
myCurve = new Geom2d_BSplineCurve(Poles,
TheCurve.Knots(),
TheCurve.Multiplicities(),
TheCurve.Degree());
myIsDone = Standard_True;
}
//=======================================================================
//function : Init
//purpose :
//=======================================================================
void Geom2dAPI_PointsToBSpline::Init
(const TColStd_Array1OfReal& YValues,
const Standard_Real X0,
const Standard_Real DX,
const Standard_Integer DegMin,
const Standard_Integer DegMax,
const GeomAbs_Shape Continuity,
const Standard_Real Tol2D)
{
// first approximate the Y values (with dummy 0 as X values)
Standard_Real Tol3D = 0.; // dummy argument for BSplineCompute.
TColgp_Array1OfPnt2d Points(YValues.Lower(),YValues.Upper());
math_Vector Param(YValues.Lower(),YValues.Upper());
Standard_Real length = DX * (YValues.Upper() - YValues.Lower());
Standard_Integer i;
for (i = YValues.Lower(); i <= YValues.Upper(); i++) {
Param(i) = (X0+(i-1)*DX)/(X0+length);
Points(i).SetCoord(0.0, YValues(i));
}
AppDef_BSplineCompute TheComputer
(Param, DegMin,DegMax,Tol3D,Tol2D,0, Standard_True, Standard_True);
switch( Continuity) {
case GeomAbs_C0:
TheComputer.SetContinuity(0); break;
case GeomAbs_G1:
case GeomAbs_C1:
TheComputer.SetContinuity(1); break;
case GeomAbs_G2:
case GeomAbs_C2:
TheComputer.SetContinuity(2); break;
default:
TheComputer.SetContinuity(3);
}
TheComputer.Perform(Points);
const AppParCurves_MultiBSpCurve& TheCurve = TheComputer.Value();
Standard_Integer Degree = TheCurve.Degree();
TColgp_Array1OfPnt2d Poles(1,TheCurve.NbPoles());
Standard_Integer nk = TheCurve.Knots().Length();
TColStd_Array1OfReal Knots(1,nk);
TColStd_Array1OfInteger Mults(1,nk);
TheCurve.Curve(1, Poles);
// compute X values for the poles
TColStd_Array1OfReal XPoles(1,Poles.Upper());
// start with a line
TColStd_Array1OfReal TempPoles(1,2);
TColStd_Array1OfReal TempKnots(1,2);
TColStd_Array1OfInteger TempMults(1,2);
TempMults.Init(2);
TempPoles(1) = X0;
TempPoles(2) = X0 + length;
TempKnots(1) = 0.;
TempKnots(2) = 1.;
// increase the Degree
TColStd_Array1OfReal NewTempPoles(1,Degree+1);
TColStd_Array1OfReal NewTempKnots(1,2);
TColStd_Array1OfInteger NewTempMults(1,2);
BSplCLib::IncreaseDegree(1,Degree,Standard_False,1,
TempPoles,TempKnots,TempMults,
NewTempPoles,NewTempKnots,NewTempMults);
// insert the Knots
BSplCLib::InsertKnots(Degree,Standard_False,1,
NewTempPoles,NewTempKnots,NewTempMults,
TheCurve.Knots(),TheCurve.Multiplicities(),
XPoles,Knots,Mults,
Epsilon(1));
// scale the knots
for (i = 1; i <= nk; i++) {
Knots(i) = X0 + length * Knots(i);
}
// set the Poles
for (i = 1; i <= Poles.Upper(); i++) {
Poles(i).SetX(XPoles(i));
}
myCurve = new Geom2d_BSplineCurve(Poles, Knots, Mults, Degree);
myIsDone = Standard_True;
}
//=======================================================================
//function : Init
//purpose :
//=======================================================================
void Geom2dAPI_PointsToBSpline::Init
(const TColgp_Array1OfPnt2d& Points,
const Standard_Integer DegMin,
const Standard_Integer DegMax,
const GeomAbs_Shape Continuity,
const Standard_Real Tol2D)
{
myIsDone = Standard_False;
Init(Points,Approx_ChordLength,DegMin,DegMax,Continuity,Tol2D);
}
//=======================================================================
//function : Init
//purpose :
//=======================================================================
void Geom2dAPI_PointsToBSpline::Init
(const TColgp_Array1OfPnt2d& Points,
const TColStd_Array1OfReal& Params,
const Standard_Integer DegMin,
const Standard_Integer DegMax,
const GeomAbs_Shape Continuity,
const Standard_Real Tol2D)
{
if (Params.Length() != Points.Length()) Standard_OutOfRange::Raise("");
Standard_Real Tol3D = 0.; // dummy argument for BSplineCompute.
Standard_Integer Nbp = Params.Length();
math_Vector theParams(1,Nbp);
theParams(1) = 0.;
theParams(Nbp) = 1.;
Standard_Real Uf = Params(Params.Lower());
Standard_Real Ul = Params(Params.Upper()) - Uf;
for (Standard_Integer i=2; i<Nbp; i++) {
theParams(i) = (Params(i)-Uf)/Ul;
}
AppDef_BSplineCompute TheComputer
(DegMin,DegMax,Tol3D,Tol2D,0,
Standard_True,Approx_IsoParametric,Standard_True);
TheComputer.SetParameters(theParams);
switch( Continuity) {
case GeomAbs_C0:
TheComputer.SetContinuity(0); break;
case GeomAbs_G1:
case GeomAbs_C1:
TheComputer.SetContinuity(1); break;
case GeomAbs_G2:
case GeomAbs_C2:
TheComputer.SetContinuity(2); break;
default:
TheComputer.SetContinuity(3);
}
TheComputer.Perform(Points);
AppParCurves_MultiBSpCurve TheCurve = TheComputer.Value();
TColgp_Array1OfPnt2d Poles(1,TheCurve.NbPoles());
TheCurve.Curve(1, Poles);
myCurve = new Geom2d_BSplineCurve(Poles,
TheCurve.Knots(),
TheCurve.Multiplicities(),
TheCurve.Degree());
myIsDone = Standard_True;
}
//=======================================================================
//function : Init
//purpose :
//=======================================================================
void Geom2dAPI_PointsToBSpline::Init
(const TColgp_Array1OfPnt2d& Points,
const Standard_Real W1,
const Standard_Real W2,
const Standard_Real W3,
const Standard_Integer DegMax,
const GeomAbs_Shape Continuity,
const Standard_Real Tol2D)
{
Standard_Integer NbPoint = Points.Length(), i;
Standard_Integer nbit = 2;
if(Tol2D <= 1.e-3) nbit = 0;
//Variational algo
AppDef_MultiLine multL(NbPoint);
for(i = 1; i <= NbPoint; ++i) {
AppDef_MultiPointConstraint mpc(0, 1);
mpc.SetPoint2d(1, Points.Value(Points.Lower() + i - 1));
multL.SetValue(i, mpc);
}
Handle(AppParCurves_HArray1OfConstraintCouple) TABofCC =
new AppParCurves_HArray1OfConstraintCouple(1, NbPoint);
AppParCurves_Constraint Constraint=AppParCurves_NoConstraint;
for(i = 1; i <= NbPoint; ++i) {
AppParCurves_ConstraintCouple ACC(i,Constraint);
TABofCC->SetValue(i,ACC);
}
AppDef_TheVariational Variation(multL, 1, NbPoint, TABofCC);
//===================================
Standard_Integer theMaxSegments = 1000;
Standard_Boolean theWithMinMax = Standard_False;
//===================================
Variation.SetMaxDegree(DegMax);
Variation.SetContinuity(Continuity);
Variation.SetMaxSegment(theMaxSegments);
Variation.SetTolerance(Tol2D);
Variation.SetWithMinMax(theWithMinMax);
Variation.SetNbIterations(nbit);
Variation.SetCriteriumWeight(W1, W2, W3);
if(!Variation.IsCreated()) {
return;
}
if(Variation.IsOverConstrained()) {
return;
}
try {
Variation.Approximate();
}
catch (Standard_Failure) {
return;
}
if(!Variation.IsDone()) {
return;
}
AppParCurves_MultiBSpCurve TheCurve = Variation.Value();
TColgp_Array1OfPnt2d Poles(1,TheCurve.NbPoles());
TheCurve.Curve(1, Poles);
myCurve = new Geom2d_BSplineCurve(Poles,
TheCurve.Knots(),
TheCurve.Multiplicities(),
TheCurve.Degree());
myIsDone = Standard_True;
}
//=======================================================================
//function : Handle_Geom2d_BSplineCurve&
//purpose :
//=======================================================================
const Handle(Geom2d_BSplineCurve)& Geom2dAPI_PointsToBSpline::Curve() const
{
if ( !myIsDone)
StdFail_NotDone::Raise(" ");
return myCurve;
}
//=======================================================================
//function : Geom2d_BSplineCurve
//purpose :
//=======================================================================
Geom2dAPI_PointsToBSpline::operator Handle(Geom2d_BSplineCurve)() const
{
return myCurve;
}
//=======================================================================
//function : Geom2d_BSplineCurve
//purpose :
//=======================================================================
Standard_Boolean Geom2dAPI_PointsToBSpline::IsDone() const
{
return myIsDone;
}
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