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// File: GCPnts_AbscissaPoint.gxx
// Created: Fri May 5 09:46:56 1995
// Author: Modelistation
// <model@fuegox>
//
// Dimension independant used to implement GCPnts_AbscissaPoint
//
// compute the type
// and the length ratio if GCPnts_LengthParametrized
#include <GCPnts_AbscissaType.hxx>
#include <gp_Vec.hxx>
#include <gp_Vec2d.hxx>
#include <gp_Circ.hxx>
#include <gp_Circ2d.hxx>
#include <Precision.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <BSplCLib.hxx>
static GCPnts_AbscissaType computeType( TheCurve& C,
Standard_Real& Ratio)
{
GCPnts_AbscissaType LocalType ;
if (C.NbIntervals(GeomAbs_CN) > 1)
return GCPnts_AbsComposite;
switch (C.GetType()) {
case GeomAbs_Line:
Ratio = 1.0e0 ;
return GCPnts_LengthParametrized;
case GeomAbs_Circle:
Ratio = C.Circle().Radius();
return GCPnts_LengthParametrized;
case GeomAbs_BezierCurve:
{
Handle_TheBezierCurve Bz = C.Bezier();
if ((Bz->NbPoles() == 2) && !(Bz->IsRational())) {
Ratio = Bz->DN(0,1).Magnitude();
LocalType = GCPnts_LengthParametrized;
}
else
LocalType = GCPnts_Parametrized;
return LocalType ;
}
case GeomAbs_BSplineCurve:
{
Handle_TheBSplineCurve Bs = C.BSpline();
if ((Bs->NbPoles() == 2) && !(Bs->IsRational())) {
Ratio = Bs->DN(Bs->FirstParameter(),1).Magnitude();
LocalType = GCPnts_LengthParametrized;
}
else
LocalType = GCPnts_Parametrized;
return LocalType ;
}
default:
return GCPnts_Parametrized;
}
}
// compute a point at distance Abscis from parameter U0
// using Ui as initial guess
static void Compute(CPnts_AbscissaPoint& theComputer,
TheCurve& C,
Standard_Real& Abscis,
Standard_Real& U0,
Standard_Real& Ui,
const Standard_Real EPSILON)
{
// test for easy solution
if (Abs(Abscis) <= Precision::Confusion()) {
theComputer.SetParameter(U0);
return;
}
Standard_Real Ratio;
GCPnts_AbscissaType Type = computeType(C,Ratio);
switch (Type) {
case GCPnts_LengthParametrized :
theComputer.SetParameter(U0 + Abscis / Ratio);
return;
case GCPnts_Parametrized :
theComputer.Init(C);
theComputer.Perform(Abscis, U0, Ui, EPSILON);
return;
case GCPnts_AbsComposite :
{
Standard_Integer NbIntervals = C.NbIntervals(GeomAbs_CN);
TColStd_Array1OfReal TI(1,NbIntervals+1);
C.Intervals(TI,GeomAbs_CN);
Standard_Real L = 0.0, sign = 1.;
Standard_Integer Index = 1;
BSplCLib::Hunt(TI,U0,Index);
Standard_Integer Direction = 1;
if (Abscis < 0) {
Direction = 0;
Abscis = -Abscis;
sign = -1.;
}
while ((Index >= 1) && (Index <= NbIntervals)) {
L = CPnts_AbscissaPoint::Length(C, U0, TI(Index+Direction));
if (Abs(L - Abscis) <= Precision::Confusion()) {
theComputer.SetParameter(TI(Index+Direction));
return;
}
if(L > Abscis) {
if ((Ui < TI(Index)) || (Ui > TI(Index+1))) {
Ui = (Abscis / L) * (TI(Index+1) - U0);
if (Direction)
Ui = U0 + Ui;
else
Ui = U0 - Ui;
}
theComputer.Init(C,TI(Index),TI(Index+1));
theComputer.Perform(sign*Abscis, U0, Ui, EPSILON);
return;
}
else {
U0 = TI(Index+Direction);
Abscis -= L;
}
if (Direction)
Index++;
else
Index--;
}
// Push a little bit outside the limits (hairy !!!)
Ui = U0 + 0.1;
theComputer.Init(C,U0,U0+0.2);
theComputer.Perform(sign*Abscis, U0, Ui, EPSILON);
return;
}
break;
}
}
// introduced by rbv for curvilinear parametrization
// performs more apropriate tolerance managment
static void AdvCompute(CPnts_AbscissaPoint& theComputer,
TheCurve& C,
Standard_Real& Abscis,
Standard_Real& U0,
Standard_Real& Ui,
const Standard_Real EPSILON)
{
// test for easy solution
if (Abs(Abscis) <= EPSILON) {
theComputer.SetParameter(U0);
return;
}
Standard_Real Ratio;
GCPnts_AbscissaType Type = computeType(C,Ratio);
switch (Type) {
case GCPnts_LengthParametrized :
theComputer.SetParameter(U0 + Abscis / Ratio);
return;
case GCPnts_Parametrized :
// theComputer.Init(C);
theComputer.Init(C, EPSILON); //rbv's modification
//
theComputer.AdvPerform(Abscis, U0, Ui, EPSILON);
return;
case GCPnts_AbsComposite :
{
Standard_Integer NbIntervals = C.NbIntervals(GeomAbs_CN);
TColStd_Array1OfReal TI(1,NbIntervals+1);
C.Intervals(TI,GeomAbs_CN);
Standard_Real L = 0.0, sign = 1.;
Standard_Integer Index = 1;
BSplCLib::Hunt(TI,U0,Index);
Standard_Integer Direction = 1;
if (Abscis < 0) {
Direction = 0;
Abscis = -Abscis;
sign = -1.;
}
if(Index == 0 && Direction > 0) {
L = CPnts_AbscissaPoint::Length(C, U0, TI(Index+Direction), EPSILON);
if (Abs(L - Abscis) <= /*Precision::Confusion()*/EPSILON) {
theComputer.SetParameter(TI(Index+Direction));
return;
}
if(L > Abscis) {
if ( Ui > TI(Index+1) ) {
Ui = (Abscis / L) * (TI(Index+1) - U0);
Ui = U0 + Ui;
}
theComputer.Init(C,U0,TI(Index+1), EPSILON);
theComputer.AdvPerform(sign*Abscis, U0, Ui, EPSILON);
return;
}
else {
U0 = TI(Index+Direction);
Abscis -= L;
}
Index++;
}
while ((Index >= 1) && (Index <= NbIntervals)) {
L = CPnts_AbscissaPoint::Length(C, U0, TI(Index+Direction), EPSILON);
if (Abs(L - Abscis) <= /*Precision::Confusion()*/EPSILON) {
theComputer.SetParameter(TI(Index+Direction));
return;
}
if(L > Abscis) {
if ((Ui < TI(Index)) || (Ui > TI(Index+1))) {
Ui = (Abscis / L) * (TI(Index+1) - U0);
if (Direction)
Ui = U0 + Ui;
else
Ui = U0 - Ui;
}
theComputer.Init(C,TI(Index),TI(Index+1), EPSILON);
theComputer.AdvPerform(sign*Abscis, U0, Ui, EPSILON);
return;
}
else {
U0 = TI(Index+Direction);
Abscis -= L;
}
if (Direction) {
Index++;
}
else {
Index--;
}
}
// Push a little bit outside the limits (hairy !!!)
Standard_Boolean nonperiodic = !C.IsPeriodic();
Ui = U0 + sign*0.1;
Standard_Real U1 = U0 + sign*.2;
if(nonperiodic) {
if(sign > 0) {
Ui = Min(Ui,C.LastParameter());
U1 = Min(U1, C.LastParameter());
}
else {
Ui = Max(Ui,C.FirstParameter());
U1 = Max(U1, C.FirstParameter());
}
}
theComputer.Init(C, U0, U1, EPSILON);
theComputer.AdvPerform(sign*Abscis, U0, Ui, EPSILON);
return;
}
break;
}
}
//=======================================================================
//function : Length
//purpose :
//=======================================================================
Standard_Real GCPnts_AbscissaPoint::Length(TheCurve& C)
{
return GCPnts_AbscissaPoint::Length(C,C.FirstParameter(),
C.LastParameter());
}
//=======================================================================
//function : Length
//purpose :
//=======================================================================
Standard_Real GCPnts_AbscissaPoint::Length(TheCurve& C,
const Standard_Real Tol)
{
return GCPnts_AbscissaPoint::Length(C,C.FirstParameter(),
C.LastParameter(),Tol);
}
//=======================================================================
//function : Length
//purpose :
//=======================================================================
Standard_Real GCPnts_AbscissaPoint::Length(TheCurve& C,
const Standard_Real U1,
const Standard_Real U2)
{
Standard_Real Ratio;
GCPnts_AbscissaType Type = computeType(C,Ratio);
switch (Type) {
case GCPnts_LengthParametrized:
return Abs(U2-U1) * Ratio;
case GCPnts_Parametrized:
return CPnts_AbscissaPoint::Length(C, U1, U2);
case GCPnts_AbsComposite:
{
Standard_Integer NbIntervals = C.NbIntervals(GeomAbs_CN);
TColStd_Array1OfReal TI(1,NbIntervals+1);
C.Intervals(TI,GeomAbs_CN);
Standard_Real UU1 = Min(U1, U2);
Standard_Real UU2 = Max(U1, U2);
Standard_Real L = 0.0;
for(Standard_Integer Index = 1; Index <= NbIntervals; Index++) {
if (TI(Index) > UU2) break;
if (TI(Index+1) < UU1) continue;
L += CPnts_AbscissaPoint::Length(C,
Max(TI(Index),UU1),
Min(TI(Index+1),UU2));
}
return L;
}
}
return RealLast();
}
//=======================================================================
//function : Length
//purpose :
//=======================================================================
Standard_Real GCPnts_AbscissaPoint::Length(TheCurve& C,
const Standard_Real U1,
const Standard_Real U2,
const Standard_Real Tol)
{
Standard_Real Ratio;
GCPnts_AbscissaType Type = computeType(C,Ratio);
switch (Type) {
case GCPnts_LengthParametrized:
return Abs(U2-U1) * Ratio;
case GCPnts_Parametrized:
return CPnts_AbscissaPoint::Length(C, U1, U2, Tol);
case GCPnts_AbsComposite:
{
Standard_Integer NbIntervals = C.NbIntervals(GeomAbs_CN);
TColStd_Array1OfReal TI(1,NbIntervals+1);
C.Intervals(TI,GeomAbs_CN);
Standard_Real UU1 = Min(U1, U2);
Standard_Real UU2 = Max(U1, U2);
Standard_Real L = 0.0;
for(Standard_Integer Index = 1; Index <= NbIntervals; Index++) {
if (TI(Index) > UU2) break;
if (TI(Index+1) < UU1) continue;
L += CPnts_AbscissaPoint::Length(C,
Max(TI(Index),UU1),
Min(TI(Index+1),UU2),
Tol);
}
return L;
}
}
return RealLast();
}
//=======================================================================
//function : GCPnts_AbscissaPoint
//purpose :
//=======================================================================
GCPnts_AbscissaPoint::GCPnts_AbscissaPoint
(TheCurve& C,
const Standard_Real Abscissa,
const Standard_Real U0)
{
Standard_Real L = GCPnts_AbscissaPoint::Length(C);
if (L < Precision::Confusion()) {
Standard_ConstructionError::Raise();
}
Standard_Real Abscis = Abscissa;
Standard_Real UU0 = U0;
Standard_Real UUi = U0 +
(Abscis / L) * (C.LastParameter() - C.FirstParameter());
Compute(myComputer, C, Abscis, UU0, UUi,
C.Resolution(Precision::Confusion()));
}
//=======================================================================
//function : GCPnts_AbscissaPoint
//purpose : rbv for curvilinear parametrization
//=======================================================================
GCPnts_AbscissaPoint::GCPnts_AbscissaPoint
(const Standard_Real Tol,
TheCurve& C,
const Standard_Real Abscissa,
const Standard_Real U0)
{
Standard_Real L = GCPnts_AbscissaPoint::Length(C, Tol);
/* if (L < Precision::Confusion()) {
cout<<"FirstParameter = "<<C.FirstParameter()<<endl;
cout<<"LastParameter = "<<C.LastParameter()<<endl;
Standard_ConstructionError::Raise("GCPnts_AbscissaPoint::GCPnts_AbscissaPoint");
}
*/
Standard_Real Abscis = Abscissa;
Standard_Real UU0 = U0;
Standard_Real UUi;
if (L >= Precision::Confusion())
UUi= U0 +
(Abscis / L) * (C.LastParameter() - C.FirstParameter());
else UUi = U0;
AdvCompute(myComputer, C, Abscis, UU0, UUi, Tol);
}
//=======================================================================
//function : GCPnts_AbscissaPoint
//purpose :
//=======================================================================
GCPnts_AbscissaPoint::GCPnts_AbscissaPoint
(TheCurve& C,
const Standard_Real Abscissa,
const Standard_Real U0,
const Standard_Real Ui)
{
Standard_Real Abscis = Abscissa;
Standard_Real UU0 = U0;
Standard_Real UUi = Ui;
Compute(myComputer, C, Abscis, UU0, UUi,
C.Resolution(Precision::Confusion()));
}
//=======================================================================
//function : GCPnts_AbscissaPoint
//purpose : rbv for curvilinear parametrization
//=======================================================================
GCPnts_AbscissaPoint::GCPnts_AbscissaPoint
(TheCurve& C,
const Standard_Real Abscissa,
const Standard_Real U0,
const Standard_Real Ui,
const Standard_Real Tol)
{
Standard_Real Abscis = Abscissa;
Standard_Real UU0 = U0;
Standard_Real UUi = Ui;
AdvCompute(myComputer, C, Abscis, UU0, UUi, Tol);
}
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