Geom Library. This package provides an
implementation of functions for basic computation
on geometric entity from packages Geom and Geom2d.
More...

#include <GeomLib.hxx>

Static Public Member Functions
static Handle_Geom_Curve	To3d (const gp_Ax2 &Position, const Handle< Geom2d_Curve > &Curve2d)
	Computes the curve 3d from package Geom corresponding to curve 2d from package Geom2d, on the plan defined with the local coordinate system Position. More...

static Handle_Geom2d_Curve	GTransform (const Handle< Geom2d_Curve > &Curve, const gp_GTrsf2d &GTrsf)
	Computes the curve 3d from package Geom corresponding to the curve 3d from package Geom, transformed with the transformation <GTrsf> WARNING : this method may return a null Handle if it's impossible to compute the transformation of a curve. It's not implemented when : 1) the curve is an infinite parabola or hyperbola 2) the curve is an offsetcurve More...

static void	SameRange (const Standard_Real Tolerance, const Handle< Geom2d_Curve > &Curve2dPtr, const Standard_Real First, const Standard_Real Last, const Standard_Real RequestedFirst, const Standard_Real RequestedLast, Handle< Geom2d_Curve > &NewCurve2dPtr)
	Make the curve Curve2dPtr have the imposed range First to List the most economic way, that is if it can change the range without changing the nature of the curve it will try to do that. Otherwise it will produce a Bspline curve that has the required range More...

static void	BuildCurve3d (const Standard_Real Tolerance, Adaptor3d_CurveOnSurface &CurvePtr, const Standard_Real FirstParameter, const Standard_Real LastParameter, Handle< Geom_Curve > &NewCurvePtr, Standard_Real &MaxDeviation, Standard_Real &AverageDeviation, const GeomAbs_Shape Continuity=GeomAbs_C1, const Standard_Integer MaxDegree=14, const Standard_Integer MaxSegment=30)

static void	AdjustExtremity (Handle< Geom_BoundedCurve > &Curve, const gp_Pnt &P1, const gp_Pnt &P2, const gp_Vec &T1, const gp_Vec &T2)

static void	ExtendCurveToPoint (Handle< Geom_BoundedCurve > &Curve, const gp_Pnt &Point, const Standard_Integer Cont, const Standard_Boolean After)
	Extends the bounded curve Curve to the point Point. <br> The extension is built: More...

static void	ExtendSurfByLength (Handle< Geom_BoundedSurface > &Surf, const Standard_Real Length, const Standard_Integer Cont, const Standard_Boolean InU, const Standard_Boolean After)
	Extends the bounded surface Surf along one of its boundaries. The chord length of the extension is equal to Length. The direction of the extension is given as: More...

static void	AxeOfInertia (const TColgp_Array1OfPnt &Points, gp_Ax2 &Axe, Standard_Boolean &IsSingular, const Standard_Real Tol=1.0e-7)
	Compute axes of inertia, of some points – – – <Axe>.Location() is the BaryCentre – – – – – <Axe>.XDirection is the axe of upper inertia – – – – <Axe>.Direction is the Normal to the average plane – – – IsSingular is True if points are on line – Tol is used to determine singular cases. More...

static void	Inertia (const TColgp_Array1OfPnt &Points, gp_Pnt &Bary, gp_Dir &XDir, gp_Dir &YDir, Standard_Real &Xgap, Standard_Real &YGap, Standard_Real &ZGap)
	Compute principale axes of inertia, and dispertion value of some points. More...

static void	RemovePointsFromArray (const Standard_Integer NumPoints, const TColStd_Array1OfReal &InParameters, Handle< TColStd_HArray1OfReal > &OutParameters)
	Warning! This assume that the InParameter is an increasing sequence <br> of real number and it will not check for that : Unpredictable <br> result can happen if this is not satisfied. It is the caller <br> responsability to check for that property. <br> This method makes uniform NumPoints segments S1,...SNumPoints out of the segment defined by the first parameter and the last parameter ofthe InParameter ; keeps only one point of the InParameters set of parameter in each of the uniform segments taking care of the first and the last parameters. For the ith segment the element of the InParameter is the one that is the first to exceed the midpoint of the segment and to fall before the midpoint of the next segment There will be at the end at most NumPoints + 1 if NumPoints > 2 in the OutParameters Array More...

static void	DensifyArray1OfReal (const Standard_Integer MinNumPoints, const TColStd_Array1OfReal &InParameters, Handle< TColStd_HArray1OfReal > &OutParameters)
	this makes sure that there is at least MinNumPoints <br> in OutParameters taking into account the parameters in <br> the InParameters array provided those are in order, <br> that is the sequence of real in the InParameter is strictly <br> non decreasing <br> More...

static void	FuseIntervals (const TColStd_Array1OfReal &Interval1, const TColStd_Array1OfReal &Interval2, TColStd_SequenceOfReal &Fusion, const Standard_Real Confusion=1.0e-9)

static void	EvalMaxParametricDistance (const Adaptor3d_Curve &Curve, const Adaptor3d_Curve &AReferenceCurve, const Standard_Real Tolerance, const TColStd_Array1OfReal &Parameters, Standard_Real &MaxDistance)
	this will compute the maximum distance at the parameters given in the Parameters array by evaluating each parameter the two curves and taking the maximum of the evaluated distance More...

static void	EvalMaxDistanceAlongParameter (const Adaptor3d_Curve &Curve, const Adaptor3d_Curve &AReferenceCurve, const Standard_Real Tolerance, const TColStd_Array1OfReal &Parameters, Standard_Real &MaxDistance)
	this will compute the maximum distancef at the parameters given in the Parameters array by projecting from the Curve to the reference curve and taking the minimum distance Than the maximum will be taken on those minimas. More...

static void	CancelDenominatorDerivative (Handle< Geom_BSplineSurface > &BSurf, const Standard_Boolean UDirection, const Standard_Boolean VDirection)
	Cancel,on the boudaries,the denominator first derivative in the directions wished by the user and set its value to 1. More...

static Standard_Integer	NormEstim (const Handle< Geom_Surface > &S, const gp_Pnt2d &UV, const Standard_Real Tol, gp_Dir &N)

Detailed Description

Geom Library. This package provides an
implementation of functions for basic computation
on geometric entity from packages Geom and Geom2d.

Member Function Documentation

static void GeomLib::AdjustExtremity	(	Handle< Geom_BoundedCurve > &	Curve,
		const gp_Pnt &	P1,
		const gp_Pnt &	P2,
		const gp_Vec &	T1,
		const gp_Vec &	T2
	)

static

static void GeomLib::AxeOfInertia	(	const TColgp_Array1OfPnt &	Points,
		gp_Ax2 &	Axe,
		Standard_Boolean &	IsSingular,
		const Standard_Real	Tol = `1.0e-7`
	)

static

Compute axes of inertia, of some points – – –
<Axe>.Location() is the BaryCentre – – – – –
<Axe>.XDirection is the axe of upper inertia – – –
– <Axe>.Direction is the Normal to the average plane
– – – IsSingular is True if points are on line –
Tol is used to determine singular cases.

static void GeomLib::BuildCurve3d	(	const Standard_Real	Tolerance,
		Adaptor3d_CurveOnSurface &	CurvePtr,
		const Standard_Real	FirstParameter,
		const Standard_Real	LastParameter,
		Handle< Geom_Curve > &	NewCurvePtr,
		Standard_Real &	MaxDeviation,
		Standard_Real &	AverageDeviation,
		const GeomAbs_Shape	Continuity = `GeomAbs_C1`,
		const Standard_Integer	MaxDegree = `14`,
		const Standard_Integer	MaxSegment = `30`
	)

static

static void GeomLib::CancelDenominatorDerivative	(	Handle< Geom_BSplineSurface > &	BSurf,
		const Standard_Boolean	UDirection,
		const Standard_Boolean	VDirection
	)

static

Cancel,on the boudaries,the denominator first derivative
in the directions wished by the user and set its value to 1.

static void GeomLib::DensifyArray1OfReal	(	const Standard_Integer	MinNumPoints,
		const TColStd_Array1OfReal &	InParameters,
		Handle< TColStd_HArray1OfReal > &	OutParameters
	)

static

 this  makes sure that there  is at least MinNumPoints <br>
     in OutParameters taking into account the parameters in <br>
     the InParameters array provided those are in order, <br>
     that is the sequence of real in the InParameter is strictly <br>
     non decreasing <br>

static void GeomLib::EvalMaxDistanceAlongParameter	(	const Adaptor3d_Curve &	Curve,
		const Adaptor3d_Curve &	AReferenceCurve,
		const Standard_Real	Tolerance,
		const TColStd_Array1OfReal &	Parameters,
		Standard_Real &	MaxDistance
	)

static

this will compute the maximum distancef at the parameters
given in the Parameters array by projecting from the Curve
to the reference curve and taking the minimum distance
Than the maximum will be taken on those minimas.

static void GeomLib::EvalMaxParametricDistance	(	const Adaptor3d_Curve &	Curve,
		const Adaptor3d_Curve &	AReferenceCurve,
		const Standard_Real	Tolerance,
		const TColStd_Array1OfReal &	Parameters,
		Standard_Real &	MaxDistance
	)

static

this will compute the maximum distance at the
parameters given in the Parameters array by
evaluating each parameter the two curves and taking
the maximum of the evaluated distance

static void GeomLib::ExtendCurveToPoint	(	Handle< Geom_BoundedCurve > &	Curve,
		const gp_Pnt &	Point,
		const Standard_Integer	Cont,
		const Standard_Boolean	After
	)

static

 Extends the bounded curve Curve to the point Point. <br>

The extension is built:

at the end of the curve if After equals true, or
at the beginning of the curve if After equals false.
The extension is performed according to a degree of
continuity equal to Cont, which in its turn must be equal to 1, 2 or 3.
This function converts the bounded curve Curve into a BSpline curve.
Warning
Nothing is done, and Curve is not modified if Cont is
not equal to 1, 2 or 3.
It is recommended that the extension should not be
too large with respect to the size of the bounded
curve Curve: Point must not be located too far from
one of the extremities of Curve.

static void GeomLib::ExtendSurfByLength	(	Handle< Geom_BoundedSurface > &	Surf,
		const Standard_Real	Length,
		const Standard_Integer	Cont,
		const Standard_Boolean	InU,
		const Standard_Boolean	After
	)

static

Extends the bounded surface Surf along one of its
boundaries. The chord length of the extension is equal to Length.
The direction of the extension is given as:

the u parametric direction of Surf, if InU equals true, or
the v parametric direction of Surf, if InU equals false.
In this parametric direction, the extension is built on the side of:
the last parameter of Surf, if After equals true, or
the first parameter of Surf, if After equals false.
The extension is performed according to a degree of
continuity equal to Cont, which in its turn must be equal to 1, 2 or 3.
This function converts the bounded surface Surf into a BSpline surface.
Warning
Nothing is done, and Surf is not modified if Cont is
not equal to 1, 2 or 3.
It is recommended that Length, the size of the
extension should not be too large with respect to the
size of the bounded surface Surf.
Surf must not be a periodic BSpline surface in the
parametric direction corresponding to the direction of extension.

static void GeomLib::FuseIntervals	(	const TColStd_Array1OfReal &	Interval1,
		const TColStd_Array1OfReal &	Interval2,
		TColStd_SequenceOfReal &	Fusion,
		const Standard_Real	Confusion = `1.0e-9`
	)

static

static Handle_Geom2d_Curve GeomLib::GTransform	(	const Handle< Geom2d_Curve > &	Curve,
		const gp_GTrsf2d &	GTrsf
	)

static

Computes the curve 3d from package Geom
corresponding to the curve 3d from package Geom,
transformed with the transformation <GTrsf>
WARNING : this method may return a null Handle if
it's impossible to compute the transformation of
a curve. It's not implemented when :
1) the curve is an infinite parabola or hyperbola
2) the curve is an offsetcurve

static void GeomLib::Inertia	(	const TColgp_Array1OfPnt &	Points,
		gp_Pnt &	Bary,
		gp_Dir &	XDir,
		gp_Dir &	YDir,
		Standard_Real &	Xgap,
		Standard_Real &	YGap,
		Standard_Real &	ZGap
	)

static

Compute principale axes of inertia, and dispertion
value of some points.

static Standard_Integer GeomLib::NormEstim	(	const Handle< Geom_Surface > &	S,
		const gp_Pnt2d &	UV,
		const Standard_Real	Tol,
		gp_Dir &	N
	)

static

static void GeomLib::RemovePointsFromArray	(	const Standard_Integer	NumPoints,
		const TColStd_Array1OfReal &	InParameters,
		Handle< TColStd_HArray1OfReal > &	OutParameters
	)

static

 Warning!  This assume that the InParameter is an increasing sequence <br>
     of real number and it will not check for that : Unpredictable <br>
     result can happen if this is not satisfied. It is the caller <br>
     responsability to check for that property. <br>

This method makes uniform NumPoints segments S1,...SNumPoints out
of the segment defined by the first parameter and the
last parameter ofthe InParameter ; keeps only one
point of the InParameters set of parameter in each of
the uniform segments taking care of the first and the
last parameters. For the ith segment the element of
the InParameter is the one that is the first to exceed
the midpoint of the segment and to fall before the
midpoint of the next segment
There will be at the end at most NumPoints + 1 if
NumPoints > 2 in the OutParameters Array

static void GeomLib::SameRange	(	const Standard_Real	Tolerance,
		const Handle< Geom2d_Curve > &	Curve2dPtr,
		const Standard_Real	First,
		const Standard_Real	Last,
		const Standard_Real	RequestedFirst,
		const Standard_Real	RequestedLast,
		Handle< Geom2d_Curve > &	NewCurve2dPtr
	)

static

Make the curve Curve2dPtr have the imposed
range First to List the most economic way,
that is if it can change the range without
changing the nature of the curve it will try
to do that. Otherwise it will produce a Bspline
curve that has the required range

static Handle_Geom_Curve GeomLib::To3d	(	const gp_Ax2 &	Position,
		const Handle< Geom2d_Curve > &	Curve2d
	)

static

Computes the curve 3d from package Geom
corresponding to curve 2d from package Geom2d, on
the plan defined with the local coordinate system
Position.

The documentation for this class was generated from the following file:

GeomLib.hxx

Static Public Member Functions

Detailed Description

Member Function Documentation