Defines a vector with magnitude. A vector with magnitude can have a zero length. More...

#include <Geom_VectorWithMagnitude.hxx>

Inheritance diagram for Geom_VectorWithMagnitude:

Public Member Functions
	Geom_VectorWithMagnitude (const gp_Vec &V)
	Creates a transient copy of V.

	Geom_VectorWithMagnitude (const Standard_Real X, const Standard_Real Y, const Standard_Real Z)
	Creates a vector with three cartesian coordinates.

	Geom_VectorWithMagnitude (const gp_Pnt &P1, const gp_Pnt &P2)
	Creates a vector from the point P1 to the point P2. The magnitude of the vector is the distance between P1 and P2.

void	SetCoord (const Standard_Real X, const Standard_Real Y, const Standard_Real Z)
	Assigns the values X, Y and Z to the coordinates of this vector.

void	SetVec (const gp_Vec &V)
	Converts the gp_Vec vector V into this vector.

void	SetX (const Standard_Real X)
	Changes the X coordinate of <me>.

void	SetY (const Standard_Real Y)
	Changes the Y coordinate of <me>

void	SetZ (const Standard_Real Z)
	Changes the Z coordinate of <me>.

Standard_Real	Magnitude () const override
	Returns the magnitude of <me>.

Standard_Real	SquareMagnitude () const override
	Returns the square magnitude of <me>.

void	Add (const Handle< Geom_Vector > &Other)
	Adds the Vector Other to <me>.

Handle< Geom_VectorWithMagnitude >	Added (const Handle< Geom_Vector > &Other) const
	Adds the vector Other to <me>.

void	Cross (const Handle< Geom_Vector > &Other) override
	Computes the cross product between <me> and Other <me> ^ Other.

Handle< Geom_Vector >	Crossed (const Handle< Geom_Vector > &Other) const override
	Computes the cross product between <me> and Other <me> ^ Other. A new vector is returned.

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

Handle< Geom_Vector >	CrossCrossed (const Handle< Geom_Vector > &V1, const Handle< Geom_Vector > &V2) const override
	Computes the triple vector product <me> ^ (V1 ^ V2). A new vector is returned.

void	Divide (const Standard_Real Scalar)
	Divides <me> by a scalar.

Handle< Geom_VectorWithMagnitude >	Divided (const Standard_Real Scalar) const
	Divides <me> by a scalar. A new vector is returned.

Handle< Geom_VectorWithMagnitude >	Multiplied (const Standard_Real Scalar) const
	Computes the product of the vector <me> by a scalar. A new vector is returned.

void	Multiply (const Standard_Real Scalar)
	Computes the product of the vector <me> by a scalar.

void	Normalize ()
	Normalizes <me>.

Handle< Geom_VectorWithMagnitude >	Normalized () const
	Returns a copy of <me> Normalized.

void	Subtract (const Handle< Geom_Vector > &Other)
	Subtracts the Vector Other to <me>.

Handle< Geom_VectorWithMagnitude >	Subtracted (const Handle< Geom_Vector > &Other) const
	Subtracts the vector Other to <me>. A new vector is returned.

void	Transform (const gp_Trsf &T) override
	Applies the transformation T to this vector.

Handle< Geom_Geometry >	Copy () const override
	Creates a new object which is a copy of this vector.

Public Member Functions inherited from Geom_Vector
void	Reverse ()
	Reverses the vector <me>.

Handle< Geom_Vector >	Reversed () const
	Returns a copy of <me> reversed.

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:

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().

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

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

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

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

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

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

const gp_Vec &	Vec () const
	Converts this vector into a gp_Vec vector.

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.

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.

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).

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.

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

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

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

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

virtual void	DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const
	Dumps the content of me into the stream.

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

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

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

virtual	~Standard_Transient ()
	Destructor must be virtual.

virtual const opencascade::handle< Standard_Type > &	DynamicType () const
	Returns a type descriptor about this object.

Standard_Boolean	IsInstance (const opencascade::handle< Standard_Type > &theType) const
	Returns a true value if this is an instance of Type.

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

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.

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.

Standard_Transient *	This () 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.

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

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

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

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

Additional Inherited Members
Public Types inherited from Standard_Transient
typedef void	base_type
	Returns a type descriptor about this object.

Static Public Member Functions inherited from Standard_Transient
static constexpr const char *	get_type_name ()
	Returns a type descriptor about this object.

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

Protected Attributes inherited from Geom_Vector
gp_Vec	gpVec

Detailed Description

Defines a vector with magnitude. A vector with magnitude can have a zero length.

Constructor & Destructor Documentation

◆ Geom_VectorWithMagnitude() [1/3]

Geom_VectorWithMagnitude::Geom_VectorWithMagnitude ( const gp_Vec & V )

Creates a transient copy of V.

◆ Geom_VectorWithMagnitude() [2/3]

Geom_VectorWithMagnitude::Geom_VectorWithMagnitude	(	const Standard_Real	X,
		const Standard_Real	Y,
		const Standard_Real	Z
	)

Creates a vector with three cartesian coordinates.

◆ Geom_VectorWithMagnitude() [3/3]

Geom_VectorWithMagnitude::Geom_VectorWithMagnitude	(	const gp_Pnt &	P1,
		const gp_Pnt &	P2
	)

Creates a vector from the point P1 to the point P2. The magnitude of the vector is the distance between P1 and P2.

Member Function Documentation

◆ Add()

void Geom_VectorWithMagnitude::Add ( const Handle< Geom_Vector > & Other )

Adds the Vector Other to <me>.

◆ Added()

Handle< Geom_VectorWithMagnitude > Geom_VectorWithMagnitude::Added ( const Handle< Geom_Vector > & Other ) const

Adds the vector Other to <me>.

◆ Copy()

Handle< Geom_Geometry > Geom_VectorWithMagnitude::Copy ( ) const

overridevirtual

Creates a new object which is a copy of this vector.

Implements Geom_Geometry.

◆ Cross()

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

overridevirtual

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

Implements Geom_Vector.

◆ CrossCross()

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

overridevirtual

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

Implements Geom_Vector.

◆ CrossCrossed()

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

overridevirtual

Computes the triple vector product <me> ^ (V1 ^ V2). A new vector is returned.

Implements Geom_Vector.

◆ Crossed()

Handle< Geom_Vector > Geom_VectorWithMagnitude::Crossed ( const Handle< Geom_Vector > & Other ) const

overridevirtual

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

Implements Geom_Vector.

◆ Divide()

void Geom_VectorWithMagnitude::Divide ( const Standard_Real Scalar )

Divides <me> by a scalar.

◆ Divided()

Handle< Geom_VectorWithMagnitude > Geom_VectorWithMagnitude::Divided ( const Standard_Real Scalar ) const

Divides <me> by a scalar. A new vector is returned.

◆ Magnitude()

Standard_Real Geom_VectorWithMagnitude::Magnitude ( ) const

overridevirtual

Returns the magnitude of <me>.

Implements Geom_Vector.

◆ Multiplied()

Handle< Geom_VectorWithMagnitude > Geom_VectorWithMagnitude::Multiplied ( const Standard_Real Scalar ) const

Computes the product of the vector <me> by a scalar. A new vector is returned.

◆ Multiply()

void Geom_VectorWithMagnitude::Multiply ( const Standard_Real Scalar )

Computes the product of the vector <me> by a scalar.

◆ Normalize()

void Geom_VectorWithMagnitude::Normalize ( )

Normalizes <me>.

Raised if the magnitude of the vector is lower or equal to Resolution from package gp.

◆ Normalized()

Handle< Geom_VectorWithMagnitude > Geom_VectorWithMagnitude::Normalized ( ) const

Returns a copy of <me> Normalized.

Raised if the magnitude of the vector is lower or equal to Resolution from package gp.

◆ SetCoord()

void Geom_VectorWithMagnitude::SetCoord	(	const Standard_Real	X,
		const Standard_Real	Y,
		const Standard_Real	Z
	)

Assigns the values X, Y and Z to the coordinates of this vector.

◆ SetVec()

void Geom_VectorWithMagnitude::SetVec ( const gp_Vec & V )

Converts the gp_Vec vector V into this vector.

◆ SetX()

void Geom_VectorWithMagnitude::SetX ( const Standard_Real X )

Changes the X coordinate of <me>.

◆ SetY()

void Geom_VectorWithMagnitude::SetY ( const Standard_Real Y )

Changes the Y coordinate of <me>

◆ SetZ()

void Geom_VectorWithMagnitude::SetZ ( const Standard_Real Z )

Changes the Z coordinate of <me>.

◆ SquareMagnitude()

Standard_Real Geom_VectorWithMagnitude::SquareMagnitude ( ) const

overridevirtual

Returns the square magnitude of <me>.

Implements Geom_Vector.

◆ Subtract()

void Geom_VectorWithMagnitude::Subtract ( const Handle< Geom_Vector > & Other )

Subtracts the Vector Other to <me>.

◆ Subtracted()

Handle< Geom_VectorWithMagnitude > Geom_VectorWithMagnitude::Subtracted ( const Handle< Geom_Vector > & Other ) const

Subtracts the vector Other to <me>. A new vector is returned.

◆ Transform()

void Geom_VectorWithMagnitude::Transform ( const gp_Trsf & T )

overridevirtual

Applies the transformation T to this vector.

Implements Geom_Geometry.

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

Geom_VectorWithMagnitude.hxx

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Geom_VectorWithMagnitude() [1/3]

◆ Geom_VectorWithMagnitude() [2/3]

◆ Geom_VectorWithMagnitude() [3/3]

Member Function Documentation

◆ Add()

◆ Added()

◆ Copy()

◆ Cross()

◆ CrossCross()

◆ CrossCrossed()

◆ Crossed()

◆ Divide()

◆ Divided()

◆ Magnitude()

◆ Multiplied()

◆ Multiply()

◆ Normalize()

◆ Normalized()

◆ SetCoord()

◆ SetVec()

◆ SetX()

◆ SetY()

◆ SetZ()

◆ SquareMagnitude()

◆ Subtract()

◆ Subtracted()

◆ Transform()