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| gp_Vec () |
| Creates a zero vector. More...
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| gp_Vec (const gp_Dir &V) |
| Creates a unitary vector from a direction V. More...
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| gp_Vec (const gp_XYZ &Coord) |
| Creates a vector with a triplet of coordinates. More...
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| gp_Vec (const Standard_Real Xv, const Standard_Real Yv, const Standard_Real Zv) |
| Creates a point with its three cartesian coordinates. More...
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| gp_Vec (const gp_Pnt &P1, const gp_Pnt &P2) |
| Creates a vector from two points. The length of the vector is the distance between P1 and P2. More...
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void | SetCoord (const Standard_Integer Index, const Standard_Real Xi) |
| Changes the coordinate of range Index Index = 1 => X is modified Index = 2 => Y is modified Index = 3 => Z is modified Raised if Index != {1, 2, 3}. More...
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void | SetCoord (const Standard_Real Xv, const Standard_Real Yv, const Standard_Real Zv) |
| For this vector, assigns. More...
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void | SetX (const Standard_Real X) |
| Assigns the given value to the X coordinate of this vector. More...
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void | SetY (const Standard_Real Y) |
| Assigns the given value to the X coordinate of this vector. More...
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void | SetZ (const Standard_Real Z) |
| Assigns the given value to the X coordinate of this vector. More...
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void | SetXYZ (const gp_XYZ &Coord) |
| Assigns the three coordinates of Coord to this vector. More...
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Standard_Real | Coord (const Standard_Integer Index) const |
| Returns the coordinate of range Index : Index = 1 => X is returned Index = 2 => Y is returned Index = 3 => Z is returned Raised if Index != {1, 2, 3}. More...
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void | Coord (Standard_Real &Xv, Standard_Real &Yv, Standard_Real &Zv) const |
| For this vector returns its three coordinates Xv, Yv, and Zvinline. More...
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Standard_Real | X () const |
| For this vector, returns its X coordinate. More...
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Standard_Real | Y () const |
| For this vector, returns its Y coordinate. More...
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Standard_Real | Z () const |
| For this vector, returns its Z coordinate. More...
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const gp_XYZ & | XYZ () const |
| For this vector, returns. More...
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Standard_Boolean | IsEqual (const gp_Vec &Other, const Standard_Real LinearTolerance, const Standard_Real AngularTolerance) const |
| Returns True if the two vectors have the same magnitude value and the same direction. The precision values are LinearTolerance for the magnitude and AngularTolerance for the direction. More...
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Standard_Boolean | IsNormal (const gp_Vec &Other, const Standard_Real AngularTolerance) const |
| Returns True if abs(<me>.Angle(Other) - PI/2.) <= AngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp. More...
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Standard_Boolean | IsOpposite (const gp_Vec &Other, const Standard_Real AngularTolerance) const |
| Returns True if PI - <me>.Angle(Other) <= AngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp. More...
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Standard_Boolean | IsParallel (const gp_Vec &Other, const Standard_Real AngularTolerance) const |
| Returns True if Angle(<me>, Other) <= AngularTolerance or PI - Angle(<me>, Other) <= AngularTolerance 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. More...
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Standard_Real | Angle (const gp_Vec &Other) const |
| Computes the angular value between <me> and <Other> Returns the angle value between 0 and PI in radian. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution from gp or Other.Magnitude() <= Resolution because the angular value is indefinite if one of the vectors has a null magnitude. More...
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Standard_Real | AngleWithRef (const gp_Vec &Other, const gp_Vec &VRef) const |
| Computes the angle, in radians, between this vector and vector Other. The result is a value between -Pi and Pi. For this, VRef defines the positive sense of rotation: the angular value is positive, if the cross product this ^ Other has the same orientation as VRef relative to the plane defined by the vectors this and Other. Otherwise, the angular value is negative. Exceptions gp_VectorWithNullMagnitude if the magnitude of this vector, the vector Other, or the vector VRef is less than or equal to gp::Resolution(). Standard_DomainError if this vector, the vector Other, and the vector VRef are coplanar, unless this vector and the vector Other are parallel. More...
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Standard_Real | Magnitude () const |
| Computes the magnitude of this vector. More...
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Standard_Real | SquareMagnitude () const |
| Computes the square magnitude of this vector. More...
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void | Add (const gp_Vec &Other) |
| Adds two vectors. More...
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void | operator+= (const gp_Vec &Other) |
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gp_Vec | Added (const gp_Vec &Other) const |
| Adds two vectors. More...
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gp_Vec | operator+ (const gp_Vec &Other) const |
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void | Subtract (const gp_Vec &Right) |
| Subtracts two vectors. More...
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void | operator-= (const gp_Vec &Right) |
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gp_Vec | Subtracted (const gp_Vec &Right) const |
| Subtracts two vectors. More...
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gp_Vec | operator- (const gp_Vec &Right) const |
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void | Multiply (const Standard_Real Scalar) |
| Multiplies a vector by a scalar. More...
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void | operator*= (const Standard_Real Scalar) |
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gp_Vec | Multiplied (const Standard_Real Scalar) const |
| Multiplies a vector by a scalar. More...
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gp_Vec | operator* (const Standard_Real Scalar) const |
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void | Divide (const Standard_Real Scalar) |
| Divides a vector by a scalar. More...
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void | operator/= (const Standard_Real Scalar) |
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gp_Vec | Divided (const Standard_Real Scalar) const |
| Divides a vector by a scalar. More...
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gp_Vec | operator/ (const Standard_Real Scalar) const |
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void | Cross (const gp_Vec &Right) |
| computes the cross product between two vectors More...
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void | operator^= (const gp_Vec &Right) |
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gp_Vec | Crossed (const gp_Vec &Right) const |
| computes the cross product between two vectors More...
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gp_Vec | operator^ (const gp_Vec &Right) const |
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Standard_Real | CrossMagnitude (const gp_Vec &Right) const |
| Computes the magnitude of the cross product between <me> and Right. Returns || <me> ^ Right ||. More...
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Standard_Real | CrossSquareMagnitude (const gp_Vec &Right) const |
| Computes the square magnitude of the cross product between <me> and Right. Returns || <me> ^ Right ||**2. More...
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void | CrossCross (const gp_Vec &V1, const gp_Vec &V2) |
| Computes the triple vector product. <me> ^= (V1 ^ V2) More...
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gp_Vec | CrossCrossed (const gp_Vec &V1, const gp_Vec &V2) const |
| Computes the triple vector product. <me> ^ (V1 ^ V2) More...
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Standard_Real | Dot (const gp_Vec &Other) const |
| computes the scalar product More...
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Standard_Real | operator* (const gp_Vec &Other) const |
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Standard_Real | DotCross (const gp_Vec &V1, const gp_Vec &V2) const |
| Computes the triple scalar product <me> * (V1 ^ V2). More...
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void | Normalize () |
| normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from gp. More...
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gp_Vec | Normalized () const |
| normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from gp. More...
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void | Reverse () |
| Reverses the direction of a vector. More...
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gp_Vec | Reversed () const |
| Reverses the direction of a vector. More...
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gp_Vec | operator- () const |
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void | SetLinearForm (const Standard_Real A1, const gp_Vec &V1, const Standard_Real A2, const gp_Vec &V2, const Standard_Real A3, const gp_Vec &V3, const gp_Vec &V4) |
| <me> is set to the following linear form : A1 * V1 + A2 * V2 + A3 * V3 + V4 More...
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void | SetLinearForm (const Standard_Real A1, const gp_Vec &V1, const Standard_Real A2, const gp_Vec &V2, const Standard_Real A3, const gp_Vec &V3) |
| <me> is set to the following linear form : A1 * V1 + A2 * V2 + A3 * V3 More...
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void | SetLinearForm (const Standard_Real A1, const gp_Vec &V1, const Standard_Real A2, const gp_Vec &V2, const gp_Vec &V3) |
| <me> is set to the following linear form : A1 * V1 + A2 * V2 + V3 More...
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void | SetLinearForm (const Standard_Real A1, const gp_Vec &V1, const Standard_Real A2, const gp_Vec &V2) |
| <me> is set to the following linear form : A1 * V1 + A2 * V2 More...
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void | SetLinearForm (const Standard_Real A1, const gp_Vec &V1, const gp_Vec &V2) |
| <me> is set to the following linear form : A1 * V1 + V2 More...
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void | SetLinearForm (const gp_Vec &V1, const gp_Vec &V2) |
| <me> is set to the following linear form : V1 + V2 More...
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void | Mirror (const gp_Vec &V) |
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gp_Vec | Mirrored (const gp_Vec &V) const |
| Performs the symmetrical transformation of a vector with respect to the vector V which is the center of the symmetry. More...
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void | Mirror (const gp_Ax1 &A1) |
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gp_Vec | Mirrored (const gp_Ax1 &A1) const |
| Performs the symmetrical transformation of a vector with respect to an axis placement which is the axis of the symmetry. More...
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void | Mirror (const gp_Ax2 &A2) |
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gp_Vec | Mirrored (const gp_Ax2 &A2) const |
| Performs the symmetrical transformation of a vector with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection). More...
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void | Rotate (const gp_Ax1 &A1, const Standard_Real Ang) |
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gp_Vec | Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const |
| Rotates a vector. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...
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void | Scale (const Standard_Real S) |
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gp_Vec | Scaled (const Standard_Real S) const |
| Scales a vector. S is the scaling value. More...
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void | Transform (const gp_Trsf &T) |
| Transforms a vector with the transformation T. More...
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gp_Vec | Transformed (const gp_Trsf &T) const |
| Transforms a vector with the transformation T. More...
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void | DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const |
| Dumps the content of me into the stream. More...
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Defines a non-persistent vector in 3D space.