# Geom_Vector Class Referenceabstract

The abstract class Vector describes the common behavior of vectors in 3D space. The Geom package provides two concrete classes of vectors: Geom_Direction (unit vector) and Geom_VectorWithMagnitude. More...

`#include <Geom_Vector.hxx>`

Inheritance diagram for Geom_Vector: [legend]

## Public Member Functions

void Reverse ()
Reverses the vector <me>. More...

Handle< Geom_VectorReversed () const
Returns a copy of <me> reversed. More...

Standard_Real Angle (const Handle< Geom_Vector > &Other) const
Computes the angular value, in radians, between this vector and vector Other. The result is a value between 0 and Pi. Exceptions gp_VectorWithNullMagnitude if: More...

Standard_Real AngleWithRef (const Handle< Geom_Vector > &Other, const Handle< Geom_Vector > &VRef) const
Computes the angular value, in radians, between this vector and vector Other. The result is a value between -Pi and Pi. The vector VRef defines the positive sense of rotation: the angular value is positive if the cross product this ^ Other has the same orientation as VRef (in relation to the plane defined by this vector and vector Other). Otherwise, it is negative. Exceptions Standard_DomainError if this vector, vector Other and vector VRef are coplanar, except if this vector and vector Other are parallel. gp_VectorWithNullMagnitude if the magnitude of this vector, vector Other or vector VRef is less than or equal to gp::Resolution(). More...

void Coord (Standard_Real &X, Standard_Real &Y, Standard_Real &Z) const
Returns the coordinates X, Y and Z of this vector. More...

virtual Standard_Real Magnitude () const =0
Returns the Magnitude of <me>. More...

virtual Standard_Real SquareMagnitude () const =0
Returns the square magnitude of <me>. More...

Standard_Real X () const
Returns the X coordinate of <me>. More...

Standard_Real Y () const
Returns the Y coordinate of <me>. More...

Standard_Real Z () const
Returns the Z coordinate of <me>. More...

virtual void Cross (const Handle< Geom_Vector > &Other)=0
Computes the cross product between <me> and <Other>. More...

virtual Handle< Geom_VectorCrossed (const Handle< Geom_Vector > &Other) const =0
Computes the cross product between <me> and <Other>. A new direction is returned. More...

virtual void CrossCross (const Handle< Geom_Vector > &V1, const Handle< Geom_Vector > &V2)=0
Computes the triple vector product <me> ^(V1 ^ V2). More...

virtual Handle< Geom_VectorCrossCrossed (const Handle< Geom_Vector > &V1, const Handle< Geom_Vector > &V2) const =0
Computes the triple vector product <me> ^(V1 ^ V2). More...

Standard_Real Dot (const Handle< Geom_Vector > &Other) const
Computes the scalar product of this vector and vector Other. More...

Standard_Real DotCross (const Handle< Geom_Vector > &V1, const Handle< Geom_Vector > &V2) const
Computes the triple scalar product. Returns me . (V1 ^ V2) More...

const gp_VecVec () const
Converts this vector into a gp_Vec vector. 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...

virtual void Transform (const gp_Trsf &T)=0
Transformation of a geometric object. This tansformation can be a translation, a rotation, a symmetry, a scaling or a complex transformation obtained by combination of the previous elementaries transformations. (see class Transformation of the package Geom). More...

Handle< Geom_GeometryMirrored (const gp_Pnt &P) const

Handle< Geom_GeometryMirrored (const gp_Ax1 &A1) const

Handle< Geom_GeometryMirrored (const gp_Ax2 &A2) const

Handle< Geom_GeometryRotated (const gp_Ax1 &A1, const Standard_Real Ang) const

Handle< Geom_GeometryScaled (const gp_Pnt &P, const Standard_Real S) const

Handle< Geom_GeometryTransformed (const gp_Trsf &T) const

Handle< Geom_GeometryTranslated (const gp_Vec &V) const

Handle< Geom_GeometryTranslated (const gp_Pnt &P1, const gp_Pnt &P2) const

virtual Handle< Geom_GeometryCopy () const =0
Creates a new object which is a copy of this geometric object. More...

virtual void DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const
Dumps the content of me into the stream. More... Public Member Functions inherited from Standard_Transient
Standard_Transient ()
Empty constructor. More...

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

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

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

virtual void Delete () const
Memory deallocator for transient classes. More...

virtual const opencascade::handle< Standard_Type > & DynamicType () const

Standard_Boolean IsInstance (const opencascade::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 opencascade::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...

Standard_TransientThis () const
Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero. More...

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

void IncrementRefCounter () const
Increments the reference counter of this object. More...

Standard_Integer DecrementRefCounter () const
Decrements the reference counter of this object; returns the decremented value. More...

## Protected Attributes

gp_Vec gpVec Public Types inherited from Standard_Transient
typedef void base_type Static Public Member Functions inherited from Standard_Transient
static const char * get_type_name ()

static const opencascade::handle< Standard_Type > & get_type_descriptor ()
Returns type descriptor of Standard_Transient class. More...

## Detailed Description

The abstract class Vector describes the common behavior of vectors in 3D space. The Geom package provides two concrete classes of vectors: Geom_Direction (unit vector) and Geom_VectorWithMagnitude.

## ◆ Angle()

 Standard_Real Geom_Vector::Angle ( const Handle< Geom_Vector > & Other ) const

Computes the angular value, in radians, between this vector and vector Other. The result is a value between 0 and Pi. Exceptions gp_VectorWithNullMagnitude if:

## ◆ AngleWithRef()

 Standard_Real Geom_Vector::AngleWithRef ( const Handle< Geom_Vector > & Other, const Handle< Geom_Vector > & VRef ) const

Computes the angular value, in radians, between this vector and vector Other. The result is a value between -Pi and Pi. The vector VRef defines the positive sense of rotation: the angular value is positive if the cross product this ^ Other has the same orientation as VRef (in relation to the plane defined by this vector and vector Other). Otherwise, it is negative. Exceptions Standard_DomainError if this vector, vector Other and vector VRef are coplanar, except if this vector and vector Other are parallel. gp_VectorWithNullMagnitude if the magnitude of this vector, vector Other or vector VRef is less than or equal to gp::Resolution().

## ◆ Coord()

 void Geom_Vector::Coord ( Standard_Real & X, Standard_Real & Y, Standard_Real & Z ) const

Returns the coordinates X, Y and Z of this vector.

## ◆ Cross()

 virtual void Geom_Vector::Cross ( const Handle< Geom_Vector > & Other )
pure virtual

Computes the cross product between <me> and <Other>.

Raised if <me> is a "Direction" and if <me> and <Other> are parallel because it is not possible to build a "Direction" with null length.

Implemented in Geom_Direction, and Geom_VectorWithMagnitude.

## ◆ CrossCross()

 virtual void Geom_Vector::CrossCross ( const Handle< Geom_Vector > & V1, const Handle< Geom_Vector > & V2 )
pure virtual

Computes the triple vector product <me> ^(V1 ^ V2).

Raised if <me> is a "Direction" and if V1 and V2 are parallel or <me> and (V1 ^ V2) are parallel

Implemented in Geom_Direction, and Geom_VectorWithMagnitude.

## ◆ CrossCrossed()

 virtual Handle< Geom_Vector > Geom_Vector::CrossCrossed ( const Handle< Geom_Vector > & V1, const Handle< Geom_Vector > & V2 ) const
pure virtual

Computes the triple vector product <me> ^(V1 ^ V2).

Raised if <me> is a direction and if V1 and V2 are parallel or <me> and (V1 ^ V2) are parallel

Implemented in Geom_Direction, and Geom_VectorWithMagnitude.

## ◆ Crossed()

 virtual Handle< Geom_Vector > Geom_Vector::Crossed ( const Handle< Geom_Vector > & Other ) const
pure virtual

Computes the cross product between <me> and <Other>. A new direction is returned.

Raised if <me> is a "Direction" and if the two vectors are parallel because it is not possible to create a "Direction" with null length.

Implemented in Geom_Direction, and Geom_VectorWithMagnitude.

## ◆ Dot()

 Standard_Real Geom_Vector::Dot ( const Handle< Geom_Vector > & Other ) const

Computes the scalar product of this vector and vector Other.

## ◆ DotCross()

 Standard_Real Geom_Vector::DotCross ( const Handle< Geom_Vector > & V1, const Handle< Geom_Vector > & V2 ) const

Computes the triple scalar product. Returns me . (V1 ^ V2)

## ◆ Magnitude()

 virtual Standard_Real Geom_Vector::Magnitude ( ) const
pure virtual

Returns the Magnitude of <me>.

Implemented in Geom_Direction, and Geom_VectorWithMagnitude.

## ◆ Reverse()

 void Geom_Vector::Reverse ( )

Reverses the vector <me>.

## ◆ Reversed()

 Handle< Geom_Vector > Geom_Vector::Reversed ( ) const

Returns a copy of <me> reversed.

## ◆ SquareMagnitude()

 virtual Standard_Real Geom_Vector::SquareMagnitude ( ) const
pure virtual

Returns the square magnitude of <me>.

Implemented in Geom_Direction, and Geom_VectorWithMagnitude.

## ◆ Vec()

 const gp_Vec& Geom_Vector::Vec ( ) const

Converts this vector into a gp_Vec vector.

## ◆ X()

 Standard_Real Geom_Vector::X ( ) const

Returns the X coordinate of <me>.

## ◆ Y()

 Standard_Real Geom_Vector::Y ( ) const

Returns the Y coordinate of <me>.

## ◆ Z()

 Standard_Real Geom_Vector::Z ( ) const

Returns the Z coordinate of <me>.

## ◆ gpVec

 gp_Vec Geom_Vector::gpVec
protected

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