This class implements an algorithm to determine the intersection between 2 parametrized surfaces, marching from a starting point. The intersection line starts and ends on the natural surface's boundaries . More...

#include <IntWalk_PWalking.hxx>

Public Member Functions
	IntWalk_PWalking (const Handle< Adaptor3d_HSurface > &Caro1, const Handle< Adaptor3d_HSurface > &Caro2, const Standard_Real TolTangency, const Standard_Real Epsilon, const Standard_Real Deflection, const Standard_Real Increment)
	Constructor used to set the data to compute intersection lines between Caro1 and Caro2. Deflection is the maximum deflection admitted between two consecutive points on the resulting polyline. TolTangency is the tolerance to find a tangent point. Func is the criterion which has to be evaluated at each solution point (each point of the line). It is necessary to call the Perform method to compute the intersection lines. The line found starts at a point on or in 2 natural domains of surfaces. It can be closed in the standard case if it is open it stops and begins at the border of one of the domains. If an open line stops at the middle of a domain, one stops at the tangent point. Epsilon is SquareTolerance of points confusion. More...

	IntWalk_PWalking (const Handle< Adaptor3d_HSurface > &Caro1, const Handle< Adaptor3d_HSurface > &Caro2, const Standard_Real TolTangency, const Standard_Real Epsilon, const Standard_Real Deflection, const Standard_Real Increment, const Standard_Real U1, const Standard_Real V1, const Standard_Real U2, const Standard_Real V2)
	Returns the intersection line containing the exact point Poin. This line is a polygonal line. Deflection is the maximum deflection admitted between two consecutive points on the resulting polyline. TolTangency is the tolerance to find a tangent point. Func is the criterion which has to be evaluated at each solution point (each point of the line). The line found starts at a point on or in 2 natural domains of surfaces. It can be closed in the standard case if it is open it stops and begins at the border of one of the domains. If an open line stops at the middle of a domain, one stops at the tangent point. Epsilon is SquareTolerance of points confusion. More...

void	Perform (const TColStd_Array1OfReal &ParDep)
	calculate the line of intersection More...

void	Perform (const TColStd_Array1OfReal &ParDep, const Standard_Real u1min, const Standard_Real v1min, const Standard_Real u2min, const Standard_Real v2min, const Standard_Real u1max, const Standard_Real v1max, const Standard_Real u2max, const Standard_Real v2max)
	calculate the line of intersection. The regulation of steps is done using min and max values on u and v. (if this data is not presented as in the previous method, the initial steps are calculated starting from min and max uv of faces). More...

Standard_Boolean	PerformFirstPoint (const TColStd_Array1OfReal &ParDep, IntSurf_PntOn2S &FirstPoint)
	calculate the first point of a line of intersection More...

Standard_Boolean	IsDone () const
	Returns true if the calculus was successful. More...

Standard_Integer	NbPoints () const
	Returns the number of points of the resulting polyline. An exception is raised if IsDone returns False. More...

const IntSurf_PntOn2S &	Value (const Standard_Integer Index) const
	Returns the point of range Index on the polyline. An exception is raised if IsDone returns False. An exception is raised if Index<=0 or Index>NbPoints. More...

const Handle< IntSurf_LineOn2S > &	Line () const

Standard_Boolean	TangentAtFirst () const
	Returns True if the surface are tangent at the first point of the line. An exception is raised if IsDone returns False. More...

Standard_Boolean	TangentAtLast () const
	Returns true if the surface are tangent at the last point of the line. An exception is raised if IsDone returns False. More...

Standard_Boolean	IsClosed () const
	Returns True if the line is closed. An exception is raised if IsDone returns False. More...

const gp_Dir &	TangentAtLine (Standard_Integer &Index) const

IntWalk_StatusDeflection	TestDeflection (const IntImp_ConstIsoparametric ChoixIso)

Standard_Boolean	TestArret (const Standard_Boolean DejaReparti, TColStd_Array1OfReal &Param, IntImp_ConstIsoparametric &ChoixIso)

void	RepartirOuDiviser (Standard_Boolean &DejaReparti, IntImp_ConstIsoparametric &ChoixIso, Standard_Boolean &Arrive)

void	AddAPoint (const IntSurf_PntOn2S &thePOn2S)
	Inserts thePOn2S in the end of line. More...

void	RemoveAPoint (const Standard_Integer theIndex)
	Removes point with index theIndex from line. If theIndex is greater than the number of points in line then the last point will be removed. theIndex must be started with 1. More...

Standard_Boolean	PutToBoundary (const Handle< Adaptor3d_HSurface > &theASurf1, const Handle< Adaptor3d_HSurface > &theASurf2)

Standard_Boolean	SeekAdditionalPoints (const Handle< Adaptor3d_HSurface > &theASurf1, const Handle< Adaptor3d_HSurface > &theASurf2, const Standard_Integer theMinNbPoints)

Standard_Real	MaxStep (Standard_Integer theIndex)

Protected Member Functions
void	ComputePasInit (const Standard_Real theDeltaU1, const Standard_Real theDeltaV1, const Standard_Real theDeltaU2, const Standard_Real theDeltaV2)

Standard_Boolean	DistanceMinimizeByGradient (const Handle< Adaptor3d_HSurface > &theASurf1, const Handle< Adaptor3d_HSurface > &theASurf2, TColStd_Array1OfReal &theInit, const Standard_Real *theStep0=0)
	Uses Gradient method in order to find intersection point between the given surfaces Arrays theInit (initial point to be precise) and theStep0 (steps-array) must contain four items and must be filled strictly in following order: {U-parameter on S1, V-parameter on S1, U-parameter on S2, V-parameter on S2}. More...

Standard_Boolean	DistanceMinimizeByExtrema (const Handle< Adaptor3d_HSurface > &theASurf, const gp_Pnt &theP0, Standard_Real &theU0, Standard_Real &theV0, const Standard_Real *theStep0=0)
	Finds the point on theASurf which is the nearest point to theP0. theU0 and theV0 must be initialized (before calling the method) by initial parameters on theASurf. Their values are changed while algorithm being launched. Array theStep0 (steps-array) must contain two items and must be filled strictly in following order: {U-parameter, V-parameter}. More...

Standard_Boolean	SeekPointOnBoundary (const Handle< Adaptor3d_HSurface > &theASurf1, const Handle< Adaptor3d_HSurface > &theASurf2, const Standard_Real theU1, const Standard_Real theV1, const Standard_Real theU2, const Standard_Real theV2, const Standard_Boolean isTheFirst)
	Searches an intersection point which lies on the some surface boundary. Found point (in case of successful result) is added in the line. theU1, theV1, theU2 and theV2 parameters are initial parameters in for used numeric algorithms. If isTheFirst == TRUE then a point on theASurf1 is searched. Otherwise, the point on theASurf2 is searched. More...

Standard_Boolean	HandleSingleSingularPoint (const Handle< Adaptor3d_HSurface > &theASurf1, const Handle< Adaptor3d_HSurface > &theASurf2, const Standard_Real the3DTol, TColStd_Array1OfReal &thePnt)

Standard_Boolean	ExtendLineInCommonZone (const IntImp_ConstIsoparametric theChoixIso, const Standard_Boolean theDirectionFlag)

Detailed Description

This class implements an algorithm to determine the intersection between 2 parametrized surfaces, marching from a starting point. The intersection line starts and ends on the natural surface's boundaries .

Constructor & Destructor Documentation

◆ IntWalk_PWalking() [1/2]

IntWalk_PWalking::IntWalk_PWalking	(	const Handle< Adaptor3d_HSurface > &	Caro1,
		const Handle< Adaptor3d_HSurface > &	Caro2,
		const Standard_Real	TolTangency,
		const Standard_Real	Epsilon,
		const Standard_Real	Deflection,
		const Standard_Real	Increment
	)

Constructor used to set the data to compute intersection lines between Caro1 and Caro2. Deflection is the maximum deflection admitted between two consecutive points on the resulting polyline. TolTangency is the tolerance to find a tangent point. Func is the criterion which has to be evaluated at each solution point (each point of the line). It is necessary to call the Perform method to compute the intersection lines. The line found starts at a point on or in 2 natural domains of surfaces. It can be closed in the standard case if it is open it stops and begins at the border of one of the domains. If an open line stops at the middle of a domain, one stops at the tangent point. Epsilon is SquareTolerance of points confusion.

◆ IntWalk_PWalking() [2/2]

IntWalk_PWalking::IntWalk_PWalking	(	const Handle< Adaptor3d_HSurface > &	Caro1,
		const Handle< Adaptor3d_HSurface > &	Caro2,
		const Standard_Real	TolTangency,
		const Standard_Real	Epsilon,
		const Standard_Real	Deflection,
		const Standard_Real	Increment,
		const Standard_Real	U1,
		const Standard_Real	V1,
		const Standard_Real	U2,
		const Standard_Real	V2
	)

Returns the intersection line containing the exact point Poin. This line is a polygonal line. Deflection is the maximum deflection admitted between two consecutive points on the resulting polyline. TolTangency is the tolerance to find a tangent point. Func is the criterion which has to be evaluated at each solution point (each point of the line). The line found starts at a point on or in 2 natural domains of surfaces. It can be closed in the standard case if it is open it stops and begins at the border of one of the domains. If an open line stops at the middle of a domain, one stops at the tangent point. Epsilon is SquareTolerance of points confusion.

Member Function Documentation

◆ AddAPoint()

void IntWalk_PWalking::AddAPoint ( const IntSurf_PntOn2S & thePOn2S )

Inserts thePOn2S in the end of line.

◆ ComputePasInit()

void IntWalk_PWalking::ComputePasInit	(	const Standard_Real	theDeltaU1,
		const Standard_Real	theDeltaV1,
		const Standard_Real	theDeltaU2,
		const Standard_Real	theDeltaV2
	)

protected

◆ DistanceMinimizeByExtrema()

Standard_Boolean IntWalk_PWalking::DistanceMinimizeByExtrema	(	const Handle< Adaptor3d_HSurface > &	theASurf,
		const gp_Pnt &	theP0,
		Standard_Real &	theU0,
		Standard_Real &	theV0,
		const Standard_Real *	theStep0 = `0`
	)

protected

Finds the point on theASurf which is the nearest point to theP0. theU0 and theV0 must be initialized (before calling the method) by initial parameters on theASurf. Their values are changed while algorithm being launched. Array theStep0 (steps-array) must contain two items and must be filled strictly in following order: {U-parameter, V-parameter}.

◆ DistanceMinimizeByGradient()

Standard_Boolean IntWalk_PWalking::DistanceMinimizeByGradient	(	const Handle< Adaptor3d_HSurface > &	theASurf1,
		const Handle< Adaptor3d_HSurface > &	theASurf2,
		TColStd_Array1OfReal &	theInit,
		const Standard_Real *	theStep0 = `0`
	)

protected

Uses Gradient method in order to find intersection point between the given surfaces Arrays theInit (initial point to be precise) and theStep0 (steps-array) must contain four items and must be filled strictly in following order: {U-parameter on S1, V-parameter on S1, U-parameter on S2, V-parameter on S2}.

◆ ExtendLineInCommonZone()

Standard_Boolean IntWalk_PWalking::ExtendLineInCommonZone	(	const IntImp_ConstIsoparametric	theChoixIso,
		const Standard_Boolean	theDirectionFlag
	)

protected

◆ HandleSingleSingularPoint()

Standard_Boolean IntWalk_PWalking::HandleSingleSingularPoint	(	const Handle< Adaptor3d_HSurface > &	theASurf1,
		const Handle< Adaptor3d_HSurface > &	theASurf2,
		const Standard_Real	the3DTol,
		TColStd_Array1OfReal &	thePnt
	)

protected

◆ IsClosed()

Standard_Boolean IntWalk_PWalking::IsClosed ( ) const

Returns True if the line is closed. An exception is raised if IsDone returns False.

◆ IsDone()

Standard_Boolean IntWalk_PWalking::IsDone ( ) const

Returns true if the calculus was successful.

◆ Line()

const Handle< IntSurf_LineOn2S >& IntWalk_PWalking::Line ( ) const

◆ MaxStep()

Standard_Real IntWalk_PWalking::MaxStep ( Standard_Integer theIndex )

inline

◆ NbPoints()

Standard_Integer IntWalk_PWalking::NbPoints ( ) const

Returns the number of points of the resulting polyline. An exception is raised if IsDone returns False.

◆ Perform() [1/2]

void IntWalk_PWalking::Perform ( const TColStd_Array1OfReal & ParDep )

calculate the line of intersection

◆ Perform() [2/2]

void IntWalk_PWalking::Perform	(	const TColStd_Array1OfReal &	ParDep,
		const Standard_Real	u1min,
		const Standard_Real	v1min,
		const Standard_Real	u2min,
		const Standard_Real	v2min,
		const Standard_Real	u1max,
		const Standard_Real	v1max,
		const Standard_Real	u2max,
		const Standard_Real	v2max
	)

calculate the line of intersection. The regulation of steps is done using min and max values on u and v. (if this data is not presented as in the previous method, the initial steps are calculated starting from min and max uv of faces).

◆ PerformFirstPoint()

Standard_Boolean IntWalk_PWalking::PerformFirstPoint	(	const TColStd_Array1OfReal &	ParDep,
		IntSurf_PntOn2S &	FirstPoint
	)

calculate the first point of a line of intersection

◆ PutToBoundary()

Standard_Boolean IntWalk_PWalking::PutToBoundary	(	const Handle< Adaptor3d_HSurface > &	theASurf1,
		const Handle< Adaptor3d_HSurface > &	theASurf2
	)

◆ RemoveAPoint()

void IntWalk_PWalking::RemoveAPoint ( const Standard_Integer theIndex )

inline

Removes point with index theIndex from line. If theIndex is greater than the number of points in line then the last point will be removed. theIndex must be started with 1.

◆ RepartirOuDiviser()

void IntWalk_PWalking::RepartirOuDiviser	(	Standard_Boolean &	DejaReparti,
		IntImp_ConstIsoparametric &	ChoixIso,
		Standard_Boolean &	Arrive
	)

◆ SeekAdditionalPoints()

Standard_Boolean IntWalk_PWalking::SeekAdditionalPoints	(	const Handle< Adaptor3d_HSurface > &	theASurf1,
		const Handle< Adaptor3d_HSurface > &	theASurf2,
		const Standard_Integer	theMinNbPoints
	)

◆ SeekPointOnBoundary()

Standard_Boolean IntWalk_PWalking::SeekPointOnBoundary	(	const Handle< Adaptor3d_HSurface > &	theASurf1,
		const Handle< Adaptor3d_HSurface > &	theASurf2,
		const Standard_Real	theU1,
		const Standard_Real	theV1,
		const Standard_Real	theU2,
		const Standard_Real	theV2,
		const Standard_Boolean	isTheFirst
	)

protected

Searches an intersection point which lies on the some surface boundary. Found point (in case of successful result) is added in the line. theU1, theV1, theU2 and theV2 parameters are initial parameters in for used numeric algorithms. If isTheFirst == TRUE then a point on theASurf1 is searched. Otherwise, the point on theASurf2 is searched.

ATTENTION!!! This method can delete some points from the curve if it is necessary (in order to obtain correct result after insertion). Returns TRUE in case of success adding (i.e. can return FALSE even after removing some points).

◆ TangentAtFirst()

Standard_Boolean IntWalk_PWalking::TangentAtFirst ( ) const

Returns True if the surface are tangent at the first point of the line. An exception is raised if IsDone returns False.

◆ TangentAtLast()

Standard_Boolean IntWalk_PWalking::TangentAtLast ( ) const

Returns true if the surface are tangent at the last point of the line. An exception is raised if IsDone returns False.

◆ TangentAtLine()

const gp_Dir& IntWalk_PWalking::TangentAtLine ( Standard_Integer & Index ) const

◆ TestArret()

Standard_Boolean IntWalk_PWalking::TestArret	(	const Standard_Boolean	DejaReparti,
		TColStd_Array1OfReal &	Param,
		IntImp_ConstIsoparametric &	ChoixIso
	)

◆ TestDeflection()

IntWalk_StatusDeflection IntWalk_PWalking::TestDeflection ( const IntImp_ConstIsoparametric ChoixIso )

◆ Value()

const IntSurf_PntOn2S& IntWalk_PWalking::Value ( const Standard_Integer Index ) const

Returns the point of range Index on the polyline. An exception is raised if IsDone returns False. An exception is raised if Index<=0 or Index>NbPoints.

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

IntWalk_PWalking.hxx

Public Member Functions

Protected Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ IntWalk_PWalking() [1/2]

◆ IntWalk_PWalking() [2/2]

Member Function Documentation

◆ AddAPoint()

◆ ComputePasInit()

◆ DistanceMinimizeByExtrema()

◆ DistanceMinimizeByGradient()

◆ ExtendLineInCommonZone()

◆ HandleSingleSingularPoint()

◆ IsClosed()

◆ IsDone()

◆ Line()

◆ MaxStep()

◆ NbPoints()

◆ Perform() [1/2]

◆ Perform() [2/2]

◆ PerformFirstPoint()

◆ PutToBoundary()

◆ RemoveAPoint()

◆ RepartirOuDiviser()

◆ SeekAdditionalPoints()

◆ SeekPointOnBoundary()

◆ TangentAtFirst()

◆ TangentAtLast()

◆ TangentAtLine()

◆ TestArret()

◆ TestDeflection()

◆ Value()