Open CASCADE Technology Reference Manual 8.0.0
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Public Member Functions
Geom_VectorWithMagnitude Class Reference

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

#include <Geom_VectorWithMagnitude.hxx>

Inheritance diagram for Geom_VectorWithMagnitude:
Inheritance graph
[legend]

Public Member Functions

 Geom_VectorWithMagnitude (const gp_Vec &V)
 Creates a transient copy of V.
 
 Geom_VectorWithMagnitude (const double X, const double Y, const double 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 double X, const double Y, const double 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 double X)
 Changes the X coordinate of <me>.
 
void SetY (const double Y)
 Changes the Y coordinate of <me>
 
void SetZ (const double Z)
 Changes the Z coordinate of <me>.
 
double Magnitude () const override
 Returns the magnitude of <me>.
 
double SquareMagnitude () const override
 Returns the square magnitude of <me>.
 
void Add (const occ::handle< Geom_Vector > &Other)
 Adds the Vector Other to <me>.
 
occ::handle< Geom_VectorWithMagnitudeAdded (const occ::handle< Geom_Vector > &Other) const
 Adds the vector Other to <me>.
 
void Cross (const occ::handle< Geom_Vector > &Other) override
 Computes the cross product between <me> and Other <me> ^ Other.
 
occ::handle< Geom_VectorCrossed (const occ::handle< Geom_Vector > &Other) const override
 Computes the cross product between <me> and Other <me> ^ Other. A new vector is returned.
 
void CrossCross (const occ::handle< Geom_Vector > &V1, const occ::handle< Geom_Vector > &V2) override
 Computes the triple vector product <me> ^ (V1 ^ V2).
 
occ::handle< Geom_VectorCrossCrossed (const occ::handle< Geom_Vector > &V1, const occ::handle< Geom_Vector > &V2) const override
 Computes the triple vector product <me> ^ (V1 ^ V2). A new vector is returned.
 
void Divide (const double Scalar)
 Divides <me> by a scalar.
 
occ::handle< Geom_VectorWithMagnitudeDivided (const double Scalar) const
 Divides <me> by a scalar. A new vector is returned.
 
occ::handle< Geom_VectorWithMagnitudeMultiplied (const double Scalar) const
 Computes the product of the vector <me> by a scalar. A new vector is returned.
 
void Multiply (const double Scalar)
 Computes the product of the vector <me> by a scalar.
 
void Normalize ()
 Normalizes <me>.
 
occ::handle< Geom_VectorWithMagnitudeNormalized () const
 Returns a copy of <me> Normalized.
 
void Subtract (const occ::handle< Geom_Vector > &Other)
 Subtracts the Vector Other to <me>.
 
occ::handle< Geom_VectorWithMagnitudeSubtracted (const occ::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.
 
occ::handle< Geom_GeometryCopy () 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>.
 
occ::handle< Geom_VectorReversed () const
 Returns a copy of <me> reversed.
 
double Angle (const occ::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:
 
double AngleWithRef (const occ::handle< Geom_Vector > &Other, const occ::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 (double &X, double &Y, double &Z) const
 Returns the coordinates X, Y and Z of this vector.
 
double X () const
 Returns the X coordinate of <me>.
 
double Y () const
 Returns the Y coordinate of <me>.
 
double Z () const
 Returns the Z coordinate of <me>.
 
double Dot (const occ::handle< Geom_Vector > &Other) const
 Computes the scalar product of this vector and vector Other.
 
double DotCross (const occ::handle< Geom_Vector > &V1, const occ::handle< Geom_Vector > &V2) const
 Computes the triple scalar product. Returns me . (V1 ^ V2)
 
const gp_VecVec () 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 double 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 double 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.
 
occ::handle< Geom_GeometryMirrored (const gp_Pnt &P) const
 
occ::handle< Geom_GeometryMirrored (const gp_Ax1 &A1) const
 
occ::handle< Geom_GeometryMirrored (const gp_Ax2 &A2) const
 
occ::handle< Geom_GeometryRotated (const gp_Ax1 &A1, const double Ang) const
 
occ::handle< Geom_GeometryScaled (const gp_Pnt &P, const double S) const
 
occ::handle< Geom_GeometryTransformed (const gp_Trsf &T) const
 
occ::handle< Geom_GeometryTranslated (const gp_Vec &V) const
 
occ::handle< Geom_GeometryTranslated (const gp_Pnt &P1, const gp_Pnt &P2) const
 
virtual void DumpJson (Standard_OStream &theOStream, int 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_Transientoperator= (const Standard_Transient &)
 Assignment operator, needed to avoid copying reference counter.
 
virtual ~Standard_Transient ()=default
 Destructor must be virtual.
 
virtual const opencascade::handle< Standard_Type > & DynamicType () const
 Returns a type descriptor about this object.
 
bool IsInstance (const opencascade::handle< Standard_Type > &theType) const
 Returns a true value if this is an instance of Type.
 
bool IsInstance (const char *const theTypeName) const
 Returns a true value if this is an instance of TypeName.
 
bool 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.
 
bool IsKind (const char *const 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_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.
 
int GetRefCount () const noexcept
 Get the reference counter of this object.
 
void IncrementRefCounter () noexcept
 Increments the reference counter of this object. Uses relaxed memory ordering since incrementing only requires atomicity, not synchronization with other memory operations.
 
int DecrementRefCounter () noexcept
 Decrements the reference counter of this object; returns the decremented value. Uses release ordering for the decrement to ensure all writes to the object are visible before the count reaches zero. An acquire fence is added only when the count reaches zero, ensuring proper synchronization before deletion. This is more efficient than using acq_rel for every decrement.
 
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 charget_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 double X,
const double Y,
const double 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 occ::handle< Geom_Vector > & Other)

Adds the Vector Other to <me>.

◆ Added()

occ::handle< Geom_VectorWithMagnitude > Geom_VectorWithMagnitude::Added ( const occ::handle< Geom_Vector > & Other) const

Adds the vector Other to <me>.

◆ Copy()

occ::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 occ::handle< Geom_Vector > & Other)
overridevirtual

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

Implements Geom_Vector.

◆ CrossCross()

void Geom_VectorWithMagnitude::CrossCross ( const occ::handle< Geom_Vector > & V1,
const occ::handle< Geom_Vector > & V2 )
overridevirtual

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

Implements Geom_Vector.

◆ CrossCrossed()

occ::handle< Geom_Vector > Geom_VectorWithMagnitude::CrossCrossed ( const occ::handle< Geom_Vector > & V1,
const occ::handle< Geom_Vector > & V2 ) const
overridevirtual

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

Implements Geom_Vector.

◆ Crossed()

occ::handle< Geom_Vector > Geom_VectorWithMagnitude::Crossed ( const occ::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 double Scalar)

Divides <me> by a scalar.

◆ Divided()

occ::handle< Geom_VectorWithMagnitude > Geom_VectorWithMagnitude::Divided ( const double Scalar) const

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

◆ Magnitude()

double Geom_VectorWithMagnitude::Magnitude ( ) const
overridevirtual

Returns the magnitude of <me>.

Implements Geom_Vector.

◆ Multiplied()

occ::handle< Geom_VectorWithMagnitude > Geom_VectorWithMagnitude::Multiplied ( const double Scalar) const

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

◆ Multiply()

void Geom_VectorWithMagnitude::Multiply ( const double 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()

occ::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 double X,
const double Y,
const double 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 double X)

Changes the X coordinate of <me>.

◆ SetY()

void Geom_VectorWithMagnitude::SetY ( const double Y)

Changes the Y coordinate of <me>

◆ SetZ()

void Geom_VectorWithMagnitude::SetZ ( const double Z)

Changes the Z coordinate of <me>.

◆ SquareMagnitude()

double Geom_VectorWithMagnitude::SquareMagnitude ( ) const
overridevirtual

Returns the square magnitude of <me>.

Implements Geom_Vector.

◆ Subtract()

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

Subtracts the Vector Other to <me>.

◆ Subtracted()

occ::handle< Geom_VectorWithMagnitude > Geom_VectorWithMagnitude::Subtracted ( const occ::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: