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>
Public Member Functions | |
| void | Reverse () |
| Reverses the vector <me>. More... | |
| Handle< Geom_Vector > | Reversed () 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_Vector > | Crossed (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_Vector > | CrossCrossed (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_Vec & | Vec () 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_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 Handle< Geom_Geometry > | Copy () const =0 |
| Creates a new object which is a copy of this geometric object. More... | |
| 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 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... | |
Protected Attributes | |
| gp_Vec | gpVec |
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.
Member Function Documentation
| 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:
- the magnitude of this vector is less than or equal to gp::Resolution(), or
- the magnitude of vector Other is less than or equal to gp::Resolution().
| 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().
| void Geom_Vector::Coord | ( | Standard_Real & | X, |
| Standard_Real & | Y, | ||
| Standard_Real & | Z | ||
| ) | const |
Returns the coordinates X, Y and Z of this vector.
|
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.
|
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.
|
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.
|
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.
| Standard_Real Geom_Vector::Dot | ( | const Handle< Geom_Vector > & | Other | ) | const |
Computes the scalar product of this vector and vector Other.
| 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)
|
pure virtual |
Returns the Magnitude of <me>.
Implemented in Geom_Direction, and Geom_VectorWithMagnitude.
| void Geom_Vector::Reverse | ( | ) |
Reverses the vector <me>.
| Handle< Geom_Vector > Geom_Vector::Reversed | ( | ) | const |
Returns a copy of <me> reversed.
|
pure virtual |
Returns the square magnitude of <me>.
Implemented in Geom_Direction, and Geom_VectorWithMagnitude.
| Standard_Real Geom_Vector::X | ( | ) | const |
Returns the X coordinate of <me>.
| Standard_Real Geom_Vector::Y | ( | ) | const |
Returns the Y coordinate of <me>.
| Standard_Real Geom_Vector::Z | ( | ) | const |
Returns the Z coordinate of <me>.
Field Documentation
|
protected |
The documentation for this class was generated from the following file:
