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| Helix () |
| | Default constructor for ROOT compatibility.
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| Helix (const PerigeeCircle &circleXY, const SZLine &szLine) |
| | Constructor combining a two dimensional circle with the linear augment in the sz space.
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| Helix (const HelixParameters ¶meters) |
| | Constructor taking all stored parameters for internal use.
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| Helix (double curvature, double phi0, double impact, double tanLambda, double z0) |
| | Constructor from all helix parameter.
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| Helix (double curvature, const Vector2D &phi0Vec, double impact, double tanLambda, double z0) |
| | Constructor from all helix parameter, phi given as a unit vector.
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void | invalidate () |
| | Sets all circle parameters to zero.
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bool | isInvalid () const |
| | Indicates if the stored parameter combination designates a valid helix.
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void | reverse () |
| | Flips the travel direction of the helix in place, pivot point is unchanged.
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Helix | reversed () const |
| | Returns a copy of the helix with flips the travel direction, pivot point is the same.
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double | arcLength2DToClosest (const Vector3D &point, bool firstPeriod=true) const |
| | Calculates the perpendicular travel distance at which the helix has the closest approach to the given point.
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| double | arcLength2DToXY (const Vector2D &point) const |
| | Calculates the two dimensional arc length that is closest to two dimensional point in the xy projection. More...
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double | arcLength2DToCylindricalR (double cylindricalR) const |
| | Calculates the two dimensional arc length that first reaches a cylindrical radius on the helix Returns NAN if the radius cannot be reached.
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Vector3D | closest (const Vector3D &point, bool firstPeriod=true) const |
| | Calculates the point on the helix with the smallest total distance.
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Vector3D | closestXY (const Vector2D &pointXY) const |
| | Calculates the point on the helix with the smallest perpendicular (xy) distance.
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double | distance (const Vector3D &point) const |
| | Calculates the distance of the point to the point of closest approach on the helix.
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double | distanceXY (const Vector2D &point) const |
| | Calculates the distance of the line parallel to the z axes through the given point.
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| double | passiveMoveBy (const Vector3D &by) |
| | Moves the coordinates system by the given vector. More...
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HelixJacobian | passiveMoveByJacobian (const Vector3D &by) const |
| | Computes the Jacobi matrix for a move of the coordinate system by the given vector.
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| double | shiftPeriod (int nPeriods) |
| | Adjust the arclength measure to start n periods later. More...
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Vector3D | atArcLength2D (double s) const |
| | Calculates the point, which lies at the give perpendicular travel distance (counted from the perigee)
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Vector3D | atZ (double z) const |
| | Calculates the point, which lies at the given z coordinate.
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Vector2D | xyAtZ (double z) const |
| | Calculates the point, which lies at the given z coordinate.
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double | minimalCylindricalR () const |
| | Gives the minimal cylindrical radius the circle reaches (unsigned)
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double | maximalCylindricalR () const |
| | Gives the maximal cylindrical radius the circle reaches.
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double | curvatureXY () const |
| | Getter for the signed curvature in the xy projection.
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double | impactXY () const |
| | Getter for the signed distance to the z axes at the perigee point.
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double | omega () const |
| | Getter for the omega parameter of the common helix parameterisation.
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double | d0 () const |
| | Getter for the signed distance to the z axes at the perigee point.
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Vector2D | perigeeXY () const |
| | Getter for the perigee point in the xy projection.
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Vector3D | perigee () const |
| | Getter for the perigee point of the helix.
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double | tanLambda () const |
| | Getter for the proportinality factor from arc length in xy space to z.
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double | cotTheta () const |
| | Getter for the proportinality factor from arc length in xy space to z.
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double | z0 () const |
| | Getter for z coordinate at the perigee point of the helix.
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double | zPeriod () const |
| | Getter for the distance in z at which the two points on the helix coincide in the xy projection.
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double | arcLength2DPeriod () const |
| | Getter for the arc length of one trip around the helix.
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double | perimeterXY () const |
| | Getter for the perimeter of the circle in the xy projection.
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double | radiusXY () const |
| | Getter for the radius of the circle in the xy projection.
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Vector2D | centerXY () const |
| | Getter for the central point of the helix.
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Vector3D | tangential () const |
| | Getter for the unit three dimensional tangential vector at the perigee point of the helix.
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const Vector2D & | phi0Vec () const |
| | Getter for the direction vector in the xy projection at the perigee of the helix.
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double | phi0 () const |
| | Getter for the azimuth angle of the direction of flight at the perigee.
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HelixParameters | helixParameters () const |
| | Getter for the five helix parameters in the order defined by EHelixParameter.h.
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const PerigeeCircle & | circleXY () const |
| | Getter for the projection into xy space.
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const SZLine & | szLine () const |
| | Getter for the projection into xy space.
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Extension of the generalized circle also caching the perigee coordinates.
Definition at line 28 of file Helix.h.
1.9.1