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| gp_Vec () |
| Creates a zero vector.
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| gp_Vec (const gp_Dir &theV) |
| Creates a unitary vector from a direction theV.
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| gp_Vec (const gp_XYZ &theCoord) |
| Creates a vector with a triplet of coordinates.
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| gp_Vec (const Standard_Real theXv, const Standard_Real theYv, const Standard_Real theZv) |
| Creates a point with its three cartesian coordinates.
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| 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.
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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}.
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void | SetCoord (const Standard_Real theXv, const Standard_Real theYv, const Standard_Real theZv) |
| For this vector, assigns.
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void | SetX (const Standard_Real theX) |
| Assigns the given value to the X coordinate of this vector.
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void | SetY (const Standard_Real theY) |
| Assigns the given value to the X coordinate of this vector.
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void | SetZ (const Standard_Real theZ) |
| Assigns the given value to the X coordinate of this vector.
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void | SetXYZ (const gp_XYZ &theCoord) |
| Assigns the three coordinates of theCoord to this vector.
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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}.
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void | Coord (Standard_Real &theXv, Standard_Real &theYv, Standard_Real &theZv) const |
| For this vector returns its three coordinates theXv, theYv, and theZv inline.
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Standard_Real | X () const |
| For this vector, returns its X coordinate.
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Standard_Real | Y () const |
| For this vector, returns its Y coordinate.
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Standard_Real | Z () const |
| For this vector, returns its Z coordinate.
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const gp_XYZ & | XYZ () const |
| For this vector, returns.
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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.
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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.
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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.
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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.
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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.
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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.
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Standard_Real | Magnitude () const |
| Computes the magnitude of this vector.
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Standard_Real | SquareMagnitude () const |
| Computes the square magnitude of this vector.
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void | Add (const gp_Vec &theOther) |
| Adds two vectors.
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void | operator+= (const gp_Vec &theOther) |
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gp_Vec | Added (const gp_Vec &theOther) const |
| Adds two vectors.
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gp_Vec | operator+ (const gp_Vec &theOther) const |
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void | Subtract (const gp_Vec &theRight) |
| Subtracts two vectors.
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void | operator-= (const gp_Vec &theRight) |
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gp_Vec | Subtracted (const gp_Vec &theRight) const |
| Subtracts two vectors.
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gp_Vec | operator- (const gp_Vec &theRight) const |
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void | Multiply (const Standard_Real theScalar) |
| Multiplies a vector by a scalar.
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void | operator*= (const Standard_Real theScalar) |
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gp_Vec | Multiplied (const Standard_Real theScalar) const |
| Multiplies a vector by a scalar.
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gp_Vec | operator* (const Standard_Real theScalar) const |
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void | Divide (const Standard_Real theScalar) |
| Divides a vector by a scalar.
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void | operator/= (const Standard_Real theScalar) |
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gp_Vec | Divided (const Standard_Real theScalar) const |
| Divides a vector by a scalar.
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gp_Vec | operator/ (const Standard_Real theScalar) const |
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void | Cross (const gp_Vec &theRight) |
| computes the cross product between two vectors
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void | operator^= (const gp_Vec &theRight) |
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gp_Vec | Crossed (const gp_Vec &theRight) const |
| computes the cross product between two vectors
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gp_Vec | operator^ (const gp_Vec &theRight) const |
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Standard_Real | CrossMagnitude (const gp_Vec &theRight) const |
| Computes the magnitude of the cross product between <me> and theRight. Returns || <me> ^ theRight ||.
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Standard_Real | CrossSquareMagnitude (const gp_Vec &theRight) const |
| Computes the square magnitude of the cross product between <me> and theRight. Returns || <me> ^ theRight ||**2.
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void | CrossCross (const gp_Vec &theV1, const gp_Vec &theV2) |
| Computes the triple vector product. <me> ^= (theV1 ^ theV2)
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gp_Vec | CrossCrossed (const gp_Vec &theV1, const gp_Vec &theV2) const |
| Computes the triple vector product. <me> ^ (theV1 ^ theV2)
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Standard_Real | Dot (const gp_Vec &theOther) const |
| computes the scalar product
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Standard_Real | operator* (const gp_Vec &theOther) const |
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Standard_Real | DotCross (const gp_Vec &theV1, const gp_Vec &theV2) const |
| Computes the triple scalar product <me> * (theV1 ^ theV2).
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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.
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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.
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void | Reverse () |
| Reverses the direction of a vector.
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gp_Vec | Reversed () const |
| Reverses the direction of a vector.
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gp_Vec | operator- () const |
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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
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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
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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
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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
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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
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void | SetLinearForm (const gp_Vec &theV1, const gp_Vec &theV2) |
| <me> is set to the following linear form : theV1 + theV2
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void | Mirror (const gp_Vec &theV) |
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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.
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void | Mirror (const gp_Ax1 &theA1) |
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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.
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void | Mirror (const gp_Ax2 &theA2) |
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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).
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void | Rotate (const gp_Ax1 &theA1, const Standard_Real theAng) |
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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.
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void | Scale (const Standard_Real theS) |
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gp_Vec | Scaled (const Standard_Real theS) const |
| Scales a vector. theS is the scaling value.
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void | Transform (const gp_Trsf &theT) |
| Transforms a vector with the transformation theT.
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gp_Vec | Transformed (const gp_Trsf &theT) const |
| Transforms a vector with the transformation theT.
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void | DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const |
| Dumps the content of me into the stream.
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Defines a non-persistent vector in 3D space.