Describes a portion of a curve (termed the "basis <br> curve") limited by two parameter values inside the
parametric domain of the basis curve.
The trimmed curve is defined by:
More...

#include <Geom_TrimmedCurve.hxx>

Inheritance diagram for Geom_TrimmedCurve:

[legend]

Public Member Functions
	Geom_TrimmedCurve (const Handle< Geom_Curve > &C, const Standard_Real U1, const Standard_Real U2, const Standard_Boolean Sense=Standard_True)
	Constructs a trimmed curve from the basis curve C <br> which is limited between parameter values U1 and U2. Note: - U1 can be greater or less than U2; in both cases, the returned curve is oriented from U1 to U2. More...

void	Reverse ()
	Changes the orientation of this trimmed curve. <br> As a result: More...

Standard_Real	ReversedParameter (const Standard_Real U) const
	Computes the parameter on the reversed curve for <br> the point of parameter U on this trimmed curve. More...

void	SetTrim (const Standard_Real U1, const Standard_Real U2, const Standard_Boolean Sense=Standard_True)
	Changes this trimmed curve, by redefining the <br> parameter values U1 and U2 which limit its basis curve. Note: If the basis curve is periodic, the trimmed curve has the same orientation as the basis curve if Sense is true (default value) or the opposite orientation if Sense is false. Warning If the basis curve is periodic, the bounds of the trimmed curve may be different from U1 and U2 if the parametric origin of the basis curve is within the arc of the trimmed curve. In this case, the modified parameter will be equal to U1 or U2 plus or minus the period. Exceptions Standard_ConstructionError if: More...

Handle_Geom_Curve	BasisCurve () const
	Returns the basis curve. <br> Warning This function does not return a constant reference. Consequently, any modification of the returned value directly modifies the trimmed curve. More...

GeomAbs_Shape	Continuity () const
	Returns the continuity of the curve : <br> C0 : only geometric continuity, C1 : continuity of the first derivative all along the Curve, C2 : continuity of the second derivative all along the Curve, C3 : continuity of the third derivative all along the Curve, CN : the order of continuity is infinite. More...

Standard_Boolean	IsCN (const Standard_Integer N) const
	Returns true if the degree of continuity of the basis <br> curve of this trimmed curve is at least N. A trimmed curve is at least "C0" continuous. Warnings : The continuity of the trimmed curve can be greater than the continuity of the basis curve because you consider only a part of the basis curve. //! Raised if N < 0. More...

gp_Pnt	EndPoint () const
	Returns the end point of <me>. This point is the evaluation of the curve for the "LastParameter". More...

Standard_Real	FirstParameter () const
	Returns the value of the first parameter of <me>. The first parameter is the parameter of the "StartPoint" of the trimmed curve. More...

Standard_Boolean	IsClosed () const
	Returns True if the distance between the StartPoint and the EndPoint is lower or equal to Resolution from package gp. More...

Standard_Boolean	IsPeriodic () const
	Returns true if the basis curve of this trimmed curve is periodic. More...

virtual Standard_Real	Period () const
	Returns the period of the basis curve of this trimmed curve. <br> Exceptions Standard_NoSuchObject if the basis curve is not periodic. More...

Standard_Real	LastParameter () const
	Returns the value of the last parameter of <me>. The last parameter is the parameter of the "EndPoint" of the trimmed curve. More...

gp_Pnt	StartPoint () const
	Returns the start point of <me>. <br> This point is the evaluation of the curve from the "FirstParameter". //! value and derivatives Warnings : The returned derivatives have the same orientation as the derivatives of the basis curve even if the trimmed curve has not the same orientation as the basis curve. More...

void	D0 (const Standard_Real U, gp_Pnt &P) const
	Returns in P the point of parameter U. <br> If the basis curve is an OffsetCurve sometimes it is not possible to do the evaluation of the curve at the parameter U (see class OffsetCurve). More...

void	D1 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1) const
	Raised if the continuity of the curve is not C1. More...

void	D2 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1, gp_Vec &V2) const
	Raised if the continuity of the curve is not C2. More...

void	D3 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1, gp_Vec &V2, gp_Vec &V3) const
	Raised if the continuity of the curve is not C3. More...

gp_Vec	DN (const Standard_Real U, const Standard_Integer N) const
	N is the order of derivation. //! Raised if the continuity of the curve is not CN. //! Raised if N < 1. //! geometric transformations More...

void	Transform (const gp_Trsf &T)
	Applies the transformation T to this trimmed curve. <br> Warning The basis curve is also modified. More...

virtual Standard_Real	TransformedParameter (const Standard_Real U, const gp_Trsf &T) const
	Returns the parameter on the transformed curve for <br> the transform of the point of parameter U on <me>. <br> me->Transformed(T)->Value(me->TransformedParameter(U,T)) is the same point as me->Value(U).Transformed(T) This methods calls the basis curve method. More...

virtual Standard_Real	ParametricTransformation (const gp_Trsf &T) const
	Returns a coefficient to compute the parameter on <br> the transformed curve for the transform of the <br> point on <me>. <br> Transformed(T)->Value(U * ParametricTransformation(T)) is the same point as Value(U).Transformed(T) This methods calls the basis curve method. More...

Handle_Geom_Geometry	Copy () const
	Creates a new object which is a copy of this trimmed curve. More...

Public Member Functions inherited from Geom_Curve
Handle_Geom_Curve	Reversed () const
	Returns a copy of <me> reversed. More...

gp_Pnt	Value (const Standard_Real U) const
	Computes the point of parameter U on <me>. <br> If the curve is periodic then the returned point is P(U) with U = Ustart + (U - Uend) where Ustart and Uend are the parametric bounds of the curve. it is implemented with D0. Raised only for the "OffsetCurve" if it is not possible to compute the current point. For example when the first derivative on the basis curve and the offset direction are parallel. More...

Public Member Functions inherited from Geom_Geometry
void	Mirror (const gp_Pnt &P)
	Performs the symmetrical transformation of a Geometry with respect to the point P which is the center of the symmetry. More...

void	Mirror (const gp_Ax1 &A1)
	Performs the symmetrical transformation of a Geometry with respect to an axis placement which is the axis of the symmetry. More...

void	Mirror (const gp_Ax2 &A2)
	Performs the symmetrical transformation of a Geometry with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection). More...

void	Rotate (const gp_Ax1 &A1, const Standard_Real Ang)
	Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...

void	Scale (const gp_Pnt &P, const Standard_Real S)
	Scales a Geometry. S is the scaling value. More...

void	Translate (const gp_Vec &V)
	Translates a Geometry. V is the vector of the tanslation. More...

void	Translate (const gp_Pnt &P1, const gp_Pnt &P2)
	Translates a Geometry from the point P1 to the point P2. More...

Handle_Geom_Geometry	Mirrored (const gp_Pnt &P) const

Handle_Geom_Geometry	Mirrored (const gp_Ax1 &A1) const

Handle_Geom_Geometry	Mirrored (const gp_Ax2 &A2) const

Handle_Geom_Geometry	Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const

Handle_Geom_Geometry	Scaled (const gp_Pnt &P, const Standard_Real S) const

Handle_Geom_Geometry	Transformed (const gp_Trsf &T) const

Handle_Geom_Geometry	Translated (const gp_Vec &V) const

Handle_Geom_Geometry	Translated (const gp_Pnt &P1, const gp_Pnt &P2) const

Public Member Functions inherited from MMgt_TShared
virtual void	Delete () const
	Memory deallocator for transient classes. More...

Public Member Functions inherited from Standard_Transient
	Standard_Transient ()
	Empty constructor. More...

	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing. More...

Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter. More...

virtual	~Standard_Transient ()
	Destructor must be virtual. More...

virtual void	ShallowDump (Standard_OStream &) const

virtual const Handle_Standard_Type &	DynamicType () const
	Returns a type information object about this object. More...

Standard_Boolean	IsInstance (const Handle_Standard_Type &theType) const
	Returns a true value if this is an instance of Type. More...

Standard_Boolean	IsInstance (const Standard_CString theTypeName) const
	Returns a true value if this is an instance of TypeName. More...

Standard_Boolean	IsKind (const Handle_Standard_Type &theType) const
	Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

Standard_Boolean	IsKind (const Standard_CString theTypeName) const
	Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

virtual Handle_Standard_Transient	This () const
	Returns a Handle which references this object. Must never be called to objects created in stack. More...

Standard_Integer	GetRefCount () const
	Get the reference counter of this object. More...

Detailed Description

Describes a portion of a curve (termed the "basis <br> curve") limited by two parameter values inside the
parametric domain of the basis curve.
The trimmed curve is defined by:

the basis curve, and
the two parameter values which limit it.
The trimmed curve can either have the same
orientation as the basis curve or the opposite orientation.

Constructor & Destructor Documentation

Geom_TrimmedCurve::Geom_TrimmedCurve	(	const Handle< Geom_Curve > &	C,
		const Standard_Real	U1,
		const Standard_Real	U2,
		const Standard_Boolean	Sense = `Standard_True`
	)

 Constructs a trimmed curve from the basis curve C <br>

which is limited between parameter values U1 and U2.
Note: - U1 can be greater or less than U2; in both cases,
the returned curve is oriented from U1 to U2.

If the basis curve C is periodic, there is an
ambiguity because two parts are available. In this
case, the trimmed curve has the same orientation
as the basis curve if Sense is true (default value)
or the opposite orientation if Sense is false.
If the curve is closed but not periodic, it is not
possible to keep the part of the curve which
includes the junction point (except if the junction
point is at the beginning or at the end of the
trimmed curve). If you tried to do this, you could
alter the fundamental characteristics of the basis
curve, which are used, for example, to compute
the derivatives of the trimmed curve. The rules
for a closed curve are therefore the same as
those for an open curve.
Warning: The trimmed curve is built from a copy of curve C.
Therefore, when C is modified, the trimmed curve
is not modified.
If the basis curve is periodic, the bounds of the
trimmed curve may be different from U1 and U2
if the parametric origin of the basis curve is within
the arc of the trimmed curve. In this case, the
modified parameter will be equal to U1 or U2
plus or minus the period.
Exceptions
Standard_ConstructionError if:
C is not periodic and U1 or U2 is outside the
bounds of C, or
U1 is equal to U2.

Member Function Documentation

Handle_Geom_Curve Geom_TrimmedCurve::BasisCurve ( ) const

 Returns the basis curve. <br>

Warning
This function does not return a constant reference.
Consequently, any modification of the returned value
directly modifies the trimmed curve.

GeomAbs_Shape Geom_TrimmedCurve::Continuity ( ) const

virtual

Returns the continuity of the curve : <br>

C0 : only geometric continuity,
C1 : continuity of the first derivative all along the Curve,
C2 : continuity of the second derivative all along the Curve,
C3 : continuity of the third derivative all along the Curve,
CN : the order of continuity is infinite.

Implements Geom_Curve.

Handle_Geom_Geometry Geom_TrimmedCurve::Copy ( ) const

virtual

Creates a new object which is a copy of this trimmed curve.

Implements Geom_Geometry.

void Geom_TrimmedCurve::D0	(	const Standard_Real	U,
		gp_Pnt &	P
	)		const

virtual

 Returns in P the point of parameter U. <br>

If the basis curve is an OffsetCurve sometimes it is not
possible to do the evaluation of the curve at the parameter
U (see class OffsetCurve).

Implements Geom_Curve.

void Geom_TrimmedCurve::D1	(	const Standard_Real	U,
		gp_Pnt &	P,
		gp_Vec &	V1
	)		const

virtual

Raised if the continuity of the curve is not C1.

Implements Geom_Curve.

void Geom_TrimmedCurve::D2	(	const Standard_Real	U,
		gp_Pnt &	P,
		gp_Vec &	V1,
		gp_Vec &	V2
	)		const

virtual

Raised if the continuity of the curve is not C2.

Implements Geom_Curve.

void Geom_TrimmedCurve::D3	(	const Standard_Real	U,
		gp_Pnt &	P,
		gp_Vec &	V1,
		gp_Vec &	V2,
		gp_Vec &	V3
	)		const

virtual

Raised if the continuity of the curve is not C3.

Implements Geom_Curve.

gp_Vec Geom_TrimmedCurve::DN	(	const Standard_Real	U,
		const Standard_Integer	N
	)		const

virtual

N is the order of derivation.
//! Raised if the continuity of the curve is not CN.
//! Raised if N < 1.
//! geometric transformations

Implements Geom_Curve.

gp_Pnt Geom_TrimmedCurve::EndPoint ( ) const

virtual

Returns the end point of <me>. This point is the
evaluation of the curve for the "LastParameter".

Implements Geom_BoundedCurve.

Standard_Real Geom_TrimmedCurve::FirstParameter ( ) const

virtual

Returns the value of the first parameter of <me>.
The first parameter is the parameter of the "StartPoint"
of the trimmed curve.

Implements Geom_Curve.

Standard_Boolean Geom_TrimmedCurve::IsClosed ( ) const

virtual

Returns True if the distance between the StartPoint and
the EndPoint is lower or equal to Resolution from package gp.

Implements Geom_Curve.

Standard_Boolean Geom_TrimmedCurve::IsCN ( const Standard_Integer N ) const

virtual

 Returns true if the degree of continuity of the basis <br>

curve of this trimmed curve is at least N. A trimmed
curve is at least "C0" continuous.
Warnings :
The continuity of the trimmed curve can be greater than
the continuity of the basis curve because you consider
only a part of the basis curve.
//! Raised if N < 0.

Implements Geom_Curve.

Standard_Boolean Geom_TrimmedCurve::IsPeriodic ( ) const

virtual

Returns true if the basis curve of this trimmed curve is periodic.

Implements Geom_Curve.

Standard_Real Geom_TrimmedCurve::LastParameter ( ) const

virtual

Returns the value of the last parameter of <me>.
The last parameter is the parameter of the "EndPoint" of the
trimmed curve.

Implements Geom_Curve.

virtual Standard_Real Geom_TrimmedCurve::ParametricTransformation ( const gp_Trsf & T ) const

virtual

 Returns a  coefficient to compute the parameter on <br>
     the transformed  curve  for  the transform  of the <br>
     point on <me>. <br>

Transformed(T)->Value(U * ParametricTransformation(T))

is the same point as

Value(U).Transformed(T)

This methods calls the basis curve method.

Reimplemented from Geom_Curve.

virtual Standard_Real Geom_TrimmedCurve::Period ( ) const

virtual

 Returns the period of the basis curve of this trimmed curve. <br>

Exceptions
Standard_NoSuchObject if the basis curve is not periodic.

Reimplemented from Geom_Curve.

void Geom_TrimmedCurve::Reverse ( )

virtual

 Changes the orientation of this trimmed curve. <br>

As a result:

the basis curve is reversed,
the start point of the initial curve becomes the
end point of the reversed curve,
the end point of the initial curve becomes the
start point of the reversed curve,
the first and last parameters are recomputed.
If the trimmed curve was defined by:
a basis curve whose parameter range is [ 0., 1. ],
the two trim values U1 (first parameter) and U2 (last parameter),
the reversed trimmed curve is defined by:
the reversed basis curve, whose parameter range is still [ 0., 1. ],
the two trim values 1. - U2 (first parameter) and 1. - U1 (last parameter).

Implements Geom_Curve.

Standard_Real Geom_TrimmedCurve::ReversedParameter ( const Standard_Real U ) const

virtual

 Computes the parameter on the reversed curve for <br>

the point of parameter U on this trimmed curve.

Implements Geom_Curve.

void Geom_TrimmedCurve::SetTrim	(	const Standard_Real	U1,
		const Standard_Real	U2,
		const Standard_Boolean	Sense = `Standard_True`
	)

  Changes this trimmed curve, by redefining the <br>

parameter values U1 and U2 which limit its basis curve.
Note: If the basis curve is periodic, the trimmed curve
has the same orientation as the basis curve if Sense
is true (default value) or the opposite orientation if Sense is false.
Warning
If the basis curve is periodic, the bounds of the
trimmed curve may be different from U1 and U2 if the
parametric origin of the basis curve is within the arc of
the trimmed curve. In this case, the modified
parameter will be equal to U1 or U2 plus or minus the period.
Exceptions
Standard_ConstructionError if:

the basis curve is not periodic, and either U1 or U2
are outside the bounds of the basis curve, or
U1 is equal to U2.

gp_Pnt Geom_TrimmedCurve::StartPoint ( ) const

virtual

Returns the start point of <me>. <br>

This point is the evaluation of the curve from the
"FirstParameter".
//! value and derivatives
Warnings :
The returned derivatives have the same orientation as the
derivatives of the basis curve even if the trimmed curve
has not the same orientation as the basis curve.

Implements Geom_BoundedCurve.

void Geom_TrimmedCurve::Transform ( const gp_Trsf & T )

virtual

 Applies the transformation T to this trimmed curve. <br>

Warning The basis curve is also modified.

Implements Geom_Geometry.

virtual Standard_Real Geom_TrimmedCurve::TransformedParameter	(	const Standard_Real	U,
		const gp_Trsf &	T
	)		const

virtual

 Returns the  parameter on the  transformed  curve for <br>
     the transform of the point of parameter U on <me>. <br>

me->Transformed(T)->Value(me->TransformedParameter(U,T))

is the same point as

me->Value(U).Transformed(T)

This methods calls the basis curve method.

Reimplemented from Geom_Curve.

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

Geom_TrimmedCurve.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation