| 
|   | gp_Vec () | 
|   | Creates a zero vector.  
  | 
|   | 
|   | gp_Vec (const gp_Dir &theV) | 
|   | Creates a unitary vector from a direction theV.  
  | 
|   | 
|   | gp_Vec (const gp_XYZ &theCoord) | 
|   | Creates a vector with a triplet of coordinates.  
  | 
|   | 
|   | gp_Vec (const Standard_Real theXv, const Standard_Real theYv, const Standard_Real theZv) | 
|   | Creates a point with its three cartesian coordinates.  
  | 
|   | 
|   | gp_Vec (const gp_Pnt &theP1, const gp_Pnt &theP2) | 
|   | Creates a vector from two points. The length of the vector is the distance between theP1 and theP2.  
  | 
|   | 
| void  | SetCoord (const Standard_Integer theIndex, const Standard_Real theXi) | 
|   | Changes the coordinate of range theIndex theIndex = 1 => X is modified theIndex = 2 => Y is modified theIndex = 3 => Z is modified Raised if theIndex != {1, 2, 3}.  
  | 
|   | 
| void  | SetCoord (const Standard_Real theXv, const Standard_Real theYv, const Standard_Real theZv) | 
|   | For this vector, assigns.  
  | 
|   | 
| void  | SetX (const Standard_Real theX) | 
|   | Assigns the given value to the X coordinate of this vector.  
  | 
|   | 
| void  | SetY (const Standard_Real theY) | 
|   | Assigns the given value to the X coordinate of this vector.  
  | 
|   | 
| void  | SetZ (const Standard_Real theZ) | 
|   | Assigns the given value to the X coordinate of this vector.  
  | 
|   | 
| void  | SetXYZ (const gp_XYZ &theCoord) | 
|   | Assigns the three coordinates of theCoord to this vector.  
  | 
|   | 
| Standard_Real  | Coord (const Standard_Integer theIndex) const | 
|   | Returns the coordinate of range theIndex : theIndex = 1 => X is returned theIndex = 2 => Y is returned theIndex = 3 => Z is returned Raised if theIndex != {1, 2, 3}.  
  | 
|   | 
| void  | Coord (Standard_Real &theXv, Standard_Real &theYv, Standard_Real &theZv) const | 
|   | For this vector returns its three coordinates theXv, theYv, and theZv inline.  
  | 
|   | 
| Standard_Real  | X () const | 
|   | For this vector, returns its X coordinate.  
  | 
|   | 
| Standard_Real  | Y () const | 
|   | For this vector, returns its Y coordinate.  
  | 
|   | 
| Standard_Real  | Z () const | 
|   | For this vector, returns its Z coordinate.  
  | 
|   | 
| const gp_XYZ &  | XYZ () const | 
|   | For this vector, returns.  
  | 
|   | 
| Standard_Boolean  | IsEqual (const gp_Vec &theOther, const Standard_Real theLinearTolerance, const Standard_Real theAngularTolerance) const | 
|   | Returns True if the two vectors have the same magnitude value and the same direction. The precision values are theLinearTolerance for the magnitude and theAngularTolerance for the direction.  
  | 
|   | 
| Standard_Boolean  | IsNormal (const gp_Vec &theOther, const Standard_Real theAngularTolerance) const | 
|   | Returns True if abs(<me>.Angle(theOther) - PI/2.) <= theAngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or theOther.Magnitude() <= Resolution from gp.  
  | 
|   | 
| Standard_Boolean  | IsOpposite (const gp_Vec &theOther, const Standard_Real theAngularTolerance) const | 
|   | Returns True if PI - <me>.Angle(theOther) <= theAngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp.  
  | 
|   | 
| Standard_Boolean  | IsParallel (const gp_Vec &theOther, const Standard_Real theAngularTolerance) const | 
|   | Returns True if Angle(<me>, theOther) <= theAngularTolerance or PI - Angle(<me>, theOther) <= theAngularTolerance This definition means that two parallel vectors cannot define a plane but two vectors with opposite directions are considered as parallel. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp.  
  | 
|   | 
| Standard_Real  | Angle (const gp_Vec &theOther) const | 
|   | Computes the angular value between <me> and <theOther> Returns the angle value between 0 and PI in radian. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution from gp or theOther.Magnitude() <= Resolution because the angular value is indefinite if one of the vectors has a null magnitude.  
  | 
|   | 
| Standard_Real  | AngleWithRef (const gp_Vec &theOther, const gp_Vec &theVRef) const | 
|   | Computes the angle, in radians, between this vector and vector theOther. The result is a value between -Pi and Pi. For this, theVRef defines the positive sense of rotation: the angular value is positive, if the cross product this ^ theOther has the same orientation as theVRef relative to the plane defined by the vectors this and theOther. Otherwise, the angular value is negative. Exceptions gp_VectorWithNullMagnitude if the magnitude of this vector, the vector theOther, or the vector theVRef is less than or equal to gp::Resolution(). Standard_DomainError if this vector, the vector theOther, and the vector theVRef are coplanar, unless this vector and the vector theOther are parallel.  
  | 
|   | 
| Standard_Real  | Magnitude () const | 
|   | Computes the magnitude of this vector.  
  | 
|   | 
| Standard_Real  | SquareMagnitude () const | 
|   | Computes the square magnitude of this vector.  
  | 
|   | 
| void  | Add (const gp_Vec &theOther) | 
|   | Adds two vectors.  
  | 
|   | 
| void  | operator+= (const gp_Vec &theOther) | 
|   | 
| gp_Vec  | Added (const gp_Vec &theOther) const | 
|   | Adds two vectors.  
  | 
|   | 
| gp_Vec  | operator+ (const gp_Vec &theOther) const | 
|   | 
| void  | Subtract (const gp_Vec &theRight) | 
|   | Subtracts two vectors.  
  | 
|   | 
| void  | operator-= (const gp_Vec &theRight) | 
|   | 
| gp_Vec  | Subtracted (const gp_Vec &theRight) const | 
|   | Subtracts two vectors.  
  | 
|   | 
| gp_Vec  | operator- (const gp_Vec &theRight) const | 
|   | 
| void  | Multiply (const Standard_Real theScalar) | 
|   | Multiplies a vector by a scalar.  
  | 
|   | 
| void  | operator*= (const Standard_Real theScalar) | 
|   | 
| gp_Vec  | Multiplied (const Standard_Real theScalar) const | 
|   | Multiplies a vector by a scalar.  
  | 
|   | 
| gp_Vec  | operator* (const Standard_Real theScalar) const | 
|   | 
| void  | Divide (const Standard_Real theScalar) | 
|   | Divides a vector by a scalar.  
  | 
|   | 
| void  | operator/= (const Standard_Real theScalar) | 
|   | 
| gp_Vec  | Divided (const Standard_Real theScalar) const | 
|   | Divides a vector by a scalar.  
  | 
|   | 
| gp_Vec  | operator/ (const Standard_Real theScalar) const | 
|   | 
| void  | Cross (const gp_Vec &theRight) | 
|   | computes the cross product between two vectors  
  | 
|   | 
| void  | operator^= (const gp_Vec &theRight) | 
|   | 
| gp_Vec  | Crossed (const gp_Vec &theRight) const | 
|   | computes the cross product between two vectors  
  | 
|   | 
| gp_Vec  | operator^ (const gp_Vec &theRight) const | 
|   | 
| Standard_Real  | CrossMagnitude (const gp_Vec &theRight) const | 
|   | Computes the magnitude of the cross product between <me> and theRight. Returns || <me> ^ theRight ||.  
  | 
|   | 
| Standard_Real  | CrossSquareMagnitude (const gp_Vec &theRight) const | 
|   | Computes the square magnitude of the cross product between <me> and theRight. Returns || <me> ^ theRight ||**2.  
  | 
|   | 
| void  | CrossCross (const gp_Vec &theV1, const gp_Vec &theV2) | 
|   | Computes the triple vector product. <me> ^= (theV1 ^ theV2)  
  | 
|   | 
| gp_Vec  | CrossCrossed (const gp_Vec &theV1, const gp_Vec &theV2) const | 
|   | Computes the triple vector product. <me> ^ (theV1 ^ theV2)  
  | 
|   | 
| Standard_Real  | Dot (const gp_Vec &theOther) const | 
|   | computes the scalar product  
  | 
|   | 
| Standard_Real  | operator* (const gp_Vec &theOther) const | 
|   | 
| Standard_Real  | DotCross (const gp_Vec &theV1, const gp_Vec &theV2) const | 
|   | Computes the triple scalar product <me> * (theV1 ^ theV2).  
  | 
|   | 
| void  | Normalize () | 
|   | normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from gp.  
  | 
|   | 
| gp_Vec  | Normalized () const | 
|   | normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from gp.  
  | 
|   | 
| void  | Reverse () | 
|   | Reverses the direction of a vector.  
  | 
|   | 
| gp_Vec  | Reversed () const | 
|   | Reverses the direction of a vector.  
  | 
|   | 
| gp_Vec  | operator- () const | 
|   | 
| void  | SetLinearForm (const Standard_Real theA1, const gp_Vec &theV1, const Standard_Real theA2, const gp_Vec &theV2, const Standard_Real theA3, const gp_Vec &theV3, const gp_Vec &theV4) | 
|   | <me> is set to the following linear form : theA1 * theV1 + theA2 * theV2 + theA3 * theV3 + theV4  
  | 
|   | 
| void  | SetLinearForm (const Standard_Real theA1, const gp_Vec &theV1, const Standard_Real theA2, const gp_Vec &theV2, const Standard_Real theA3, const gp_Vec &theV3) | 
|   | <me> is set to the following linear form : theA1 * theV1 + theA2 * theV2 + theA3 * theV3  
  | 
|   | 
| void  | SetLinearForm (const Standard_Real theA1, const gp_Vec &theV1, const Standard_Real theA2, const gp_Vec &theV2, const gp_Vec &theV3) | 
|   | <me> is set to the following linear form : theA1 * theV1 + theA2 * theV2 + theV3  
  | 
|   | 
| void  | SetLinearForm (const Standard_Real theA1, const gp_Vec &theV1, const Standard_Real theA2, const gp_Vec &theV2) | 
|   | <me> is set to the following linear form : theA1 * theV1 + theA2 * theV2  
  | 
|   | 
| void  | SetLinearForm (const Standard_Real theA1, const gp_Vec &theV1, const gp_Vec &theV2) | 
|   | <me> is set to the following linear form : theA1 * theV1 + theV2  
  | 
|   | 
| void  | SetLinearForm (const gp_Vec &theV1, const gp_Vec &theV2) | 
|   | <me> is set to the following linear form : theV1 + theV2  
  | 
|   | 
| void  | Mirror (const gp_Vec &theV) | 
|   | 
| gp_Vec  | Mirrored (const gp_Vec &theV) const | 
|   | Performs the symmetrical transformation of a vector with respect to the vector theV which is the center of the symmetry.  
  | 
|   | 
| void  | Mirror (const gp_Ax1 &theA1) | 
|   | 
| gp_Vec  | Mirrored (const gp_Ax1 &theA1) const | 
|   | Performs the symmetrical transformation of a vector with respect to an axis placement which is the axis of the symmetry.  
  | 
|   | 
| void  | Mirror (const gp_Ax2 &theA2) | 
|   | 
| gp_Vec  | Mirrored (const gp_Ax2 &theA2) const | 
|   | Performs the symmetrical transformation of a vector with respect to a plane. The axis placement theA2 locates the plane of the symmetry : (Location, XDirection, YDirection).  
  | 
|   | 
| void  | Rotate (const gp_Ax1 &theA1, const Standard_Real theAng) | 
|   | 
| gp_Vec  | Rotated (const gp_Ax1 &theA1, const Standard_Real theAng) const | 
|   | Rotates a vector. theA1 is the axis of the rotation. theAng is the angular value of the rotation in radians.  
  | 
|   | 
| void  | Scale (const Standard_Real theS) | 
|   | 
| gp_Vec  | Scaled (const Standard_Real theS) const | 
|   | Scales a vector. theS is the scaling value.  
  | 
|   | 
| void  | Transform (const gp_Trsf &theT) | 
|   | Transforms a vector with the transformation theT.  
  | 
|   | 
| gp_Vec  | Transformed (const gp_Trsf &theT) const | 
|   | Transforms a vector with the transformation theT.  
  | 
|   | 
| void  | DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const | 
|   | Dumps the content of me into the stream.  
  | 
|   | 
Defines a non-persistent vector in 3D space.