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JFIT::JEstimator< JLine1Z > Class Template Reference

Linear fit of straight line parallel to z-axis to set of hits (objects with position and time). More...

#include <JLine1ZEstimator.hh>

Inheritance diagram for JFIT::JEstimator< JLine1Z >:
JFIT::JLine1Z JGEOMETRY3D::JVertex3D JGEOMETRY3D::JPosition3D JGEOMETRY3D::JTime JMATH::JMath< JVertex3D > JGEOMETRY3D::JVector3D JMATH::JMath< JVector3D >

Public Types

typedef double JLine1Z::* parameter_type
 

Public Member Functions

 JEstimator ()
 Default constructor. More...
 
template<class T >
 JEstimator (T __begin, T __end)
 Constructor. More...
 
template<class T >
const JEstimator< JLine1Z > & operator() (T __begin, T __end)
 Fit. More...
 
template<class T >
void update (T __begin, T __end, const JMatrixNZ &A)
 Update track parameters using updated co-variance matrix (e.g. More...
 
void move (const double step, const double velocity)
 Move vertex along this line with given velocity. More...
 
void setZ (const double z, const double velocity)
 Set z-position of vertex. More...
 
double getDistanceSquared (const JVector3D &pos) const
 Get distance squared. More...
 
double getDistance (const JVector3D &pos) const
 Get distance. More...
 
double getT (const JVector3D &pos) const
 Get arrival time of Cherenkov light at given position. More...
 
double getT () const
 Get time. More...
 
double getZ (const JPosition3D &pos) const
 Get point of emission of Cherenkov light along muon path. More...
 
double getZ () const
 Get z position. More...
 
JVersor3D getDirection (const JVector3D &pos) const
 Get photon direction of Cherenkov light on PMT. More...
 
double getDot (const JAxis3D &axis) const
 Get cosine angle of impact of Cherenkov light on PMT. More...
 
double getDot (const JAngle3D &angle) const
 Get dot product. More...
 
double getDot (const JVersor3D &dir) const
 Get dot product. More...
 
double getDot (const JVersor3Z &dir) const
 Get dot product. More...
 
double getDot (const JVector3D &vector) const
 Get dot product. More...
 
JVertex3Dnegate ()
 Prefix unary minus. More...
 
JVertex3Dadd (const JVertex3D &value)
 Addition operator. More...
 
JVector3Dadd (const JVector3D &vector)
 Add vector. More...
 
JTimeadd (const JTime &value)
 Addition operator. More...
 
JVertex3Dsub (const JVertex3D &value)
 Subtraction operator. More...
 
JVector3Dsub (const JVector3D &vector)
 Subtract vector. More...
 
JTimesub (const JTime &value)
 Subtraction operator. More...
 
JVertex3Dmul (const double value)
 Multiplication operator. More...
 
JVector3Dmul (const JNullType &object)
 Multiply with object. More...
 
JVertex3Dmul (const JNullType &object)
 Multiply with object. More...
 
JVertex3Ddiv (const double value)
 Division operator. More...
 
const JPosition3DgetPosition () const
 Get position. More...
 
JPosition3DgetPosition ()
 Get position. More...
 
void setPosition (const JVector3D &pos)
 Set position. More...
 
 operator JAngle3D () const
 Type conversion operator. More...
 
 operator JVersor3D () const
 Type conversion operator. More...
 
JPosition3Drotate (const JRotation3D &R)
 Rotate. More...
 
JPosition3Drotate (const JRotation3X &R)
 Rotate around X-axis. More...
 
JPosition3Drotate (const JRotation3Y &R)
 Rotate around Y-axis. More...
 
JPosition3Drotate (const JRotation3Z &R)
 Rotate around Z-axis. More...
 
JPosition3Drotate (const JQuaternion3D &Q)
 Rotate. More...
 
JPosition3Drotate_back (const JRotation3D &R)
 Rotate back. More...
 
JPosition3Drotate_back (const JRotation3X &R)
 Rotate back around X-axis. More...
 
JPosition3Drotate_back (const JRotation3Y &R)
 Rotate back around Y-axis. More...
 
JPosition3Drotate_back (const JRotation3Z &R)
 Rotate back around Z-axis. More...
 
JPosition3Drotate_back (const JQuaternion3D &Q)
 Rotate back. More...
 
void transform (const JRotation3D &R, const JVector3D &pos)
 Transform position. More...
 
JVector3Dtransform (const JMatrix3D &T)
 Transform. More...
 
void transform_back (const JRotation3D &R, const JVector3D &pos)
 Transform back position. More...
 
 operator JVector2D () const
 Type conversion operator. More...
 
double getX () const
 Get x position. More...
 
double getY () const
 Get y position. More...
 
bool equals (const JVector3D &vector, const double precision=std::numeric_limits< double >::min()) const
 Check equality. More...
 
double getLengthSquared () const
 Get length squared. More...
 
double getLength () const
 Get length. More...
 
JVector3Dcross (const JVector3D &first, const JVector3D &second)
 Get cross product. More...
 

Static Public Member Functions

static parameter_type pX ()
 
static parameter_type pY ()
 
static parameter_type pT ()
 

Public Attributes

JMATH::JMatrix3S V
 co-variance matrix of fit parameters More...
 

Static Public Attributes

static const int NUMBER_OF_PARAMETERS = 3
 number of parameters of fit More...
 

Protected Attributes

double __x
 
double __y
 
double __z
 
double __t
 

Detailed Description

template<>
class JFIT::JEstimator< JLine1Z >

Linear fit of straight line parallel to z-axis to set of hits (objects with position and time).

\begin{center}\setlength{\unitlength}{0.7cm}\begin{picture}(8,12) \put( 1.0, 0.5){\vector(0,1){9}} \put( 1.0,10.0){\makebox(0,0){$z$}} \put( 1.0, 0.0){\makebox(0,0){muon}} \put( 1.0, 8.0){\line(1,0){6}} \put( 4.0, 8.5){\makebox(0,0)[c]{$R$}} \multiput( 1.0, 2.0)(0.5, 0.5){12}{\qbezier(0.0,0.0)(-0.1,0.35)(0.25,0.25)\qbezier(0.25,0.25)(0.6,0.15)(0.5,0.5)} \put( 4.5, 4.5){\makebox(0,0)[l]{photon}} \put( 1.0, 2.0){\circle*{0.2}} \put( 0.5, 2.0){\makebox(0,0)[r]{$(x_{0},y_{0},z_{0},t_{0})$}} \put( 1.0, 8.0){\circle*{0.2}} \put( 0.5, 8.0){\makebox(0,0)[r]{$(x_{0},y_{0},z_{j})$}} \put( 7.0, 8.0){\circle*{0.2}} \put( 7.0, 9.0){\makebox(0,0)[c]{PMT}} \put( 7.5, 8.0){\makebox(0,0)[l]{$(x_{j},y_{j},z_{j},t_{j})$}} \put( 1.1, 2.1){ \put(0.0,1.00){\vector(-1,0){0.1}} \qbezier(0.0,1.0)(0.25,1.0)(0.5,0.75) \put(0.5,0.75){\vector(1,-1){0.1}} \put(0.4,1.5){\makebox(0,0){$\theta_{c}$}} } \end{picture} \end{center}

\[ ct_j = ct_0 + (z_j - z_0) + \tan(\theta_{c}) \sqrt((x_j - x_0)^2 + (y_j - y_0)^2) \]

where:

\begin{eqnarray*} x_0 & = & \textrm{x position of track (fit parameter)} \\ y_0 & = & \textrm{y position of track (fit parameter)} \\ z_0 & = & \textrm{z position of track} \\ t_0 & = & \textrm{time of track at } z = z_0 \textrm{ (fit parameter)} \\ \\ c & = & \textrm{speed of light in vacuum} \\ \theta_{c} & = & \textrm{Cherenkov angle} \\ \end{eqnarray*}

Defining:

\begin{eqnarray*} t_j' & \equiv & ct_j / \tan(\theta_{c}) - (z_j - z_0)/\tan(\theta_{c}) \\ t_0' & \equiv & ct_0 / \tan(\theta_{c}) \\ \end{eqnarray*}

\[ \Rightarrow (t_j' - t_0')^2 = (x_j - x_0)^2 + (y_j - y_0)^2 \]

The parameters $\{x_0, y_0, t_0\}$ are estimated in the constructor of this class based on consecutive pairs of equations by which the quadratic terms in $x_0$, $y_0$ and $t_0$ are eliminated.

Definition at line 88 of file JLine1ZEstimator.hh.

Member Typedef Documentation

typedef double JLine1Z::* JFIT::JLine1Z::parameter_type
inherited

Definition at line 178 of file JLine1Z.hh.

Constructor & Destructor Documentation

Default constructor.

Definition at line 95 of file JLine1ZEstimator.hh.

95  :
96  JLine1Z()
97  {}
JLine1Z()
Default constructor.
Definition: JLine1Z.hh:39
template<class T >
JFIT::JEstimator< JLine1Z >::JEstimator ( T  __begin,
T  __end 
)
inline

Constructor.

Parameters
__beginbegin of data
__endend of data

Definition at line 107 of file JLine1ZEstimator.hh.

107  :
108  JLine1Z()
109  {
110  (*this)(__begin, __end);
111  }
JLine1Z()
Default constructor.
Definition: JLine1Z.hh:39

Member Function Documentation

template<class T >
const JEstimator<JLine1Z>& JFIT::JEstimator< JLine1Z >::operator() ( T  __begin,
T  __end 
)
inline

Fit.

The template argument T refers to an iterator of a data structure which should have the following member methods:

  • double getX(); // [m]
  • double getY(); // [m]
  • double getZ(); // [m]
  • double getT(); // [ns]
Parameters
__beginbegin of data
__endend of data

Definition at line 127 of file JLine1ZEstimator.hh.

128  {
129  using namespace std;
130  using namespace JTOOLS;
131 
132  const int N = distance(__begin, __end);
133 
134  if (N >= NUMBER_OF_PARAMETERS) {
135 
136  __x = 0.0;
137  __y = 0.0;
138  __z = 0.0;
139  __t = 0.0;
140 
141  double t0 = 0.0;
142 
143  for (T i = __begin; i != __end; ++i) {
144  __x += i->getX();
145  __y += i->getY();
146  __z += i->getZ();
147  t0 += i->getT();
148  }
149 
150  const double W = 1.0/N;
151 
152  __x *= W;
153  __y *= W;
154  __z *= W;
155  t0 *= W;
156 
157  V.reset();
158 
159  t0 *= getSpeedOfLight();
160 
161  double y0 = 0.0;
162  double y1 = 0.0;
163  double y2 = 0.0;
164 
165  T j = __begin;
166 
167  double xi = j->getX() - getX();
168  double yi = j->getY() - getY();
169  double ti = (j->getT() * getSpeedOfLight() - t0 - j->getZ() + getZ()) / getKappaC();
170 
171  for (bool done = false; !done; ) {
172 
173  if ((done = (++j == __end))) {
174  j = __begin;
175  }
176 
177  double xj = j->getX() - getX();
178  double yj = j->getY() - getY();
179  double tj = (j->getT() * getSpeedOfLight() - t0 - j->getZ() + getZ()) / getKappaC();
180 
181  double dx = xj - xi;
182  double dy = yj - yi;
183  double dt = ti - tj; // opposite sign!
184 
185  const double y = ((xj + xi) * dx +
186  (yj + yi) * dy +
187  (tj + ti) * dt);
188 
189  dx *= 2;
190  dy *= 2;
191  dt *= 2;
192 
193  V.a00 += dx * dx;
194  V.a01 += dx * dy;
195  V.a02 += dx * dt;
196  V.a11 += dy * dy;
197  V.a12 += dy * dt;
198  V.a22 += dt * dt;
199 
200  y0 += dx * y;
201  y1 += dy * y;
202  y2 += dt * y;
203 
204  xi = xj;
205  yi = yj;
206  ti = tj;
207  }
208 
209  t0 *= getInverseSpeedOfLight();
210 
211  V.a10 = V.a01;
212  V.a20 = V.a02;
213  V.a21 = V.a12;
214 
215  V.invert();
216 
217  __x += V.a00 * y0 + V.a01 * y1 + V.a02 * y2;
218  __y += V.a10 * y0 + V.a11 * y1 + V.a12 * y2;
219  __t = V.a20 * y0 + V.a21 * y1 + V.a22 * y2;
220 
222  __t += t0;
223 
224  } else {
225  throw JValueOutOfRange("JEstimator<JLine1Z>::JEstimator(): Not enough data points.");
226  }
227 
228  return *this;
229  }
std::vector< T >::difference_type distance(typename std::vector< T >::const_iterator first, typename PhysicsEvent::const_iterator< T > second)
Specialisation of STL distance.
const double getSpeedOfLight()
Number of bytes in a gigabyte.
Definition: JConstants.hh:89
static const int NUMBER_OF_PARAMETERS
number of parameters of fit
void invert()
Invert matrix.
Definition: JMatrix3S.hh:71
const double getInverseSpeedOfLight()
Get inverse speed of light.
Definition: JConstants.hh:100
JMatrix3D & reset()
Set matrix to the null matrix.
do set_variable OUTPUT_DIRECTORY $WORKDIR T
double getY() const
Get y position.
Definition: JVector3D.hh:103
JMATH::JMatrix3S V
co-variance matrix of fit parameters
double getX() const
Get x position.
Definition: JVector3D.hh:93
int j
Definition: JPolint.hh:634
double getKappaC()
Get average kappa of Cherenkov light in water.
Definition: JConstants.hh:166
then usage $script[input file[working directory[option]]] nWhere option can be N
Definition: JMuonPostfit.sh:37
double getZ() const
Get z position.
Definition: JVector3D.hh:114
esac done
Definition: JAddHDE.sh:21
template<class T >
void JFIT::JEstimator< JLine1Z >::update ( T  __begin,
T  __end,
const JMatrixNZ A 
)
inline

Update track parameters using updated co-variance matrix (e.g.

matrix with one hit switched off).

In this, it is assumed that the changes in x and y positions are small compared to the actual distances between the track and the hits.

The template argument T refers to an iterator of a data structure which should have the following member methods:

  • double getX(); // [m]
  • double getY(); // [m]
  • double getZ(); // [m]
  • double getT(); // [ns]
Parameters
__beginbegin of data
__endend of data
Aco-variance matrix of hits

Definition at line 249 of file JLine1ZEstimator.hh.

250  {
251  using namespace std;
252  using namespace JTOOLS;
253 
254  const int N = distance(__begin, __end);
255 
256  if (N != (int) A.size()) {
257  THROW(JValueOutOfRange, "JEstimator<JLine1Z>::update(): Wrong number of points " << N << " != " << A.size());
258  }
259 
260  if (N >= NUMBER_OF_PARAMETERS) {
261 
262  double x1 = 0.0;
263  double y1 = 0.0;
264  double t1 = 0.0;
265 
266  V.reset();
267 
268  T i = __begin;
269 
270  for (size_t row = 0; row != A.size(); ++row, ++i) {
271 
272  const double dx = i->getX() - getX();
273  const double dy = i->getY() - getY();
274 
275  const double rt = sqrt(dx*dx + dy*dy);
276 
277  double xr = getKappaC() * getInverseSpeedOfLight();
278  double yr = getKappaC() * getInverseSpeedOfLight();
279  double tr = 1.0;
280 
281  if (rt != 0.0) {
282  xr *= -dx / rt;
283  yr *= -dy / rt;
284  }
285 
286  T j = __begin;
287 
288  for (size_t col = 0; col != A.size(); ++col, ++j) {
289 
290  const double dx = j->getX() - getX();
291  const double dy = j->getY() - getY();
292  const double dz = j->getZ() - getZ();
293 
294  const double rt = sqrt(dx*dx + dy*dy);
295 
296  double xc = getKappaC() * getInverseSpeedOfLight();
297  double yc = getKappaC() * getInverseSpeedOfLight();
298  double tc = 1.0;
299 
300  if (rt != 0.0) {
301  xc *= -dx / rt;
302  yc *= -dy / rt;
303  }
304 
305  const double ts = j->getT() - (dz + rt * getKappaC()) * getInverseSpeedOfLight();
306 
307  const double vs = A(row,col);
308 
309  x1 += xr * vs * ts;
310  y1 += yr * vs * ts;
311  t1 += tr * vs * ts;
312 
313  V.a00 += xr * vs * xc;
314  V.a01 += xr * vs * yc;
315  V.a02 += xr * vs * tc;
316  V.a11 += yr * vs * yc;
317  V.a12 += yr * vs * tc;
318  V.a22 += tr * vs * tc;
319  }
320  }
321 
322  V.a10 = V.a01;
323  V.a20 = V.a02;
324  V.a21 = V.a12;
325 
326  V.invert();
327 
328  __x += V.a00 * x1 + V.a01 * y1 + V.a02 * t1;
329  __y += V.a10 * x1 + V.a11 * y1 + V.a12 * t1;
330  __t = V.a20 * x1 + V.a21 * y1 + V.a22 * t1;
331 
332  } else {
333  THROW(JValueOutOfRange, "JEstimator<JLine1Z>::update(): Not enough data points " << N);
334  }
335  }
std::vector< T >::difference_type distance(typename std::vector< T >::const_iterator first, typename PhysicsEvent::const_iterator< T > second)
Specialisation of STL distance.
static const int NUMBER_OF_PARAMETERS
number of parameters of fit
void invert()
Invert matrix.
Definition: JMatrix3S.hh:71
#define THROW(JException_t, A)
Marco for throwing exception with std::ostream compatible message.
Definition: JException.hh:670
const double getInverseSpeedOfLight()
Get inverse speed of light.
Definition: JConstants.hh:100
JMatrix3D & reset()
Set matrix to the null matrix.
do set_variable OUTPUT_DIRECTORY $WORKDIR T
double getY() const
Get y position.
Definition: JVector3D.hh:103
JMATH::JMatrix3S V
co-variance matrix of fit parameters
size_t size() const
Get dimension of matrix.
Definition: JMatrixND.hh:154
double getX() const
Get x position.
Definition: JVector3D.hh:93
int j
Definition: JPolint.hh:634
double getKappaC()
Get average kappa of Cherenkov light in water.
Definition: JConstants.hh:166
then usage $script[input file[working directory[option]]] nWhere option can be N
Definition: JMuonPostfit.sh:37
double getZ() const
Get z position.
Definition: JVector3D.hh:114
source $JPP_DIR setenv csh $JPP_DIR eval JShellParser o a A
void JFIT::JLine1Z::move ( const double  step,
const double  velocity 
)
inlineinherited

Move vertex along this line with given velocity.

Parameters
stepstep
velocityvelocity

Definition at line 62 of file JLine1Z.hh.

63  {
64  __z += step;
65  __t += step / velocity;
66  }
void JFIT::JLine1Z::setZ ( const double  z,
const double  velocity 
)
inlineinherited

Set z-position of vertex.

Parameters
zz-position
velocityvelocity

Definition at line 75 of file JLine1Z.hh.

76  {
77  move(z - getZ(), velocity);
78  }
void move(const double step, const double velocity)
Move vertex along this line with given velocity.
Definition: JLine1Z.hh:62
double getZ() const
Get z position.
Definition: JVector3D.hh:114
double JFIT::JLine1Z::getDistanceSquared ( const JVector3D pos) const
inlineinherited

Get distance squared.

Parameters
posposition
Returns
square of distance

Definition at line 87 of file JLine1Z.hh.

88  {
89  const double dx = pos.getX() - this->getX();
90  const double dy = pos.getY() - this->getY();
91 
92  return dx*dx + dy*dy;
93  }
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double JFIT::JLine1Z::getDistance ( const JVector3D pos) const
inlineinherited

Get distance.

Parameters
posposition
Returns
distance

Definition at line 102 of file JLine1Z.hh.

103  {
104  return sqrt(this->getDistanceSquared(pos));
105  }
double getDistanceSquared(const JVector3D &pos) const
Get distance squared.
Definition: JLine1Z.hh:87
double JFIT::JLine1Z::getT ( const JVector3D pos) const
inlineinherited

Get arrival time of Cherenkov light at given position.

Parameters
posposition [m]
Returns
time [ns]

Definition at line 114 of file JLine1Z.hh.

115  {
116  using namespace JTOOLS;
117 
118  const double dx = pos.getX() - this->getX();
119  const double dy = pos.getY() - this->getY();
120  const double dz = pos.getZ() - this->getZ();
121 
122  const double R = sqrt(dx*dx + dy*dy);
123 
124  return this->getT() + (dz + R * getKappaC()) * getInverseSpeedOfLight();
125  }
double getT() const
Get time.
const double getInverseSpeedOfLight()
Get inverse speed of light.
Definition: JConstants.hh:100
double getY() const
Get y position.
Definition: JVector3D.hh:103
then usage $script[distance] fi case set_variable R
Definition: JDrawLED.sh:40
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getKappaC()
Get average kappa of Cherenkov light in water.
Definition: JConstants.hh:166
double getZ() const
Get z position.
Definition: JVector3D.hh:114
double JGEOMETRY3D::JTime::getT ( ) const
inlineinherited

Get time.

Returns
time

Definition at line 121 of file JGeometry3D/JTime.hh.

122  {
123  return __t;
124  }
double JFIT::JLine1Z::getZ ( const JPosition3D pos) const
inlineinherited

Get point of emission of Cherenkov light along muon path.

Parameters
posposition
Returns
position along muon path

Definition at line 134 of file JLine1Z.hh.

135  {
136  using namespace JTOOLS;
137 
138  return pos.getZ() - this->getDistance(pos) / getTanThetaC();
139  }
double getDistance(const JVector3D &pos) const
Get distance.
Definition: JLine1Z.hh:102
double getTanThetaC()
Get average tangent of Cherenkov angle of water.
Definition: JConstants.hh:133
double JGEOMETRY3D::JVector3D::getZ ( ) const
inlineinherited

Get z position.

Returns
z position

Definition at line 114 of file JVector3D.hh.

115  {
116  return __z;
117  }
JVersor3D JFIT::JLine1Z::getDirection ( const JVector3D pos) const
inlineinherited

Get photon direction of Cherenkov light on PMT.

Parameters
posPMT position
Returns
direction

Definition at line 148 of file JLine1Z.hh.

149  {
150  using namespace JTOOLS;
151 
152  double dx = pos.getX() - this->getX();
153  double dy = pos.getY() - this->getY();
154 
155  const double R = sqrt(dx*dx + dy*dy);
156 
157  dx *= getSinThetaC() / R;
158  dy *= getSinThetaC() / R;
159 
160  const double dz = getCosThetaC();
161 
162  return JVersor3D(dx,dy,dz);
163  }
double getSinThetaC()
Get average sine of Cherenkov angle of water.
Definition: JConstants.hh:155
double getCosThetaC()
Get average cosine of Cherenkov angle of water.
Definition: JConstants.hh:144
double getY() const
Get y position.
Definition: JVector3D.hh:103
then usage $script[distance] fi case set_variable R
Definition: JDrawLED.sh:40
double getX() const
Get x position.
Definition: JVector3D.hh:93
double JFIT::JLine1Z::getDot ( const JAxis3D axis) const
inlineinherited

Get cosine angle of impact of Cherenkov light on PMT.

Parameters
axisPMT axis
Returns
cosine angle of impact

Definition at line 172 of file JLine1Z.hh.

173  {
174  return getDirection(axis.getPosition()).getDot(axis.getDirection());
175  }
double getDot(const JAxis3D &axis) const
Get cosine angle of impact of Cherenkov light on PMT.
Definition: JLine1Z.hh:172
JVersor3D getDirection(const JVector3D &pos) const
Get photon direction of Cherenkov light on PMT.
Definition: JLine1Z.hh:148
double JGEOMETRY3D::JPosition3D::getDot ( const JAngle3D angle) const
inlineinherited

Get dot product.

Parameters
angleangle
Returns
dot product

Definition at line 377 of file JPosition3D.hh.

378  {
379  return
380  getX() * angle.getDX() +
381  getY() * angle.getDY() +
382  getZ() * angle.getDZ();
383  }
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getZ() const
Get z position.
Definition: JVector3D.hh:114
double getDX() const
Get x direction.
Definition: JAngle3D.hh:106
double getDZ() const
Get z direction.
Definition: JAngle3D.hh:128
double getDY() const
Get y direction.
Definition: JAngle3D.hh:117
double JGEOMETRY3D::JPosition3D::getDot ( const JVersor3D dir) const
inlineinherited

Get dot product.

Parameters
dirdirection
Returns
dot product

Definition at line 392 of file JPosition3D.hh.

393  {
394  return
395  getX() * dir.getDX() +
396  getY() * dir.getDY() +
397  getZ() * dir.getDZ();
398  }
double getDY() const
Get y direction.
Definition: JVersor3D.hh:103
double getDX() const
Get x direction.
Definition: JVersor3D.hh:92
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getZ() const
Get z position.
Definition: JVector3D.hh:114
double getDZ() const
Get z direction.
Definition: JVersor3D.hh:114
double JGEOMETRY3D::JPosition3D::getDot ( const JVersor3Z dir) const
inlineinherited

Get dot product.

Parameters
dirdirection
Returns
dot product

Definition at line 407 of file JPosition3D.hh.

408  {
409  return
410  getX() * dir.getDX() +
411  getY() * dir.getDY() +
412  getZ() * dir.getDZ();
413  }
double getDY() const
Get y direction.
Definition: JVersor3Z.hh:156
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getDX() const
Get x direction.
Definition: JVersor3Z.hh:145
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getDZ() const
Get z direction.
Definition: JVersor3Z.hh:167
double getZ() const
Get z position.
Definition: JVector3D.hh:114
double JGEOMETRY3D::JVector3D::getDot ( const JVector3D vector) const
inlineinherited

Get dot product.

Parameters
vectorvector
Returns
dot product

Definition at line 281 of file JVector3D.hh.

282  {
283  return
284  getX() * vector.getX() +
285  getY() * vector.getY() +
286  getZ() * vector.getZ();
287  }
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getZ() const
Get z position.
Definition: JVector3D.hh:114
static parameter_type JFIT::JLine1Z::pX ( )
inlinestaticinherited

Definition at line 180 of file JLine1Z.hh.

180 { return &JLine1Z::__x; }
static parameter_type JFIT::JLine1Z::pY ( )
inlinestaticinherited

Definition at line 181 of file JLine1Z.hh.

181 { return &JLine1Z::__y; }
static parameter_type JFIT::JLine1Z::pT ( )
inlinestaticinherited

Definition at line 182 of file JLine1Z.hh.

182 { return &JLine1Z::__t; }
JVertex3D& JGEOMETRY3D::JVertex3D::negate ( )
inlineinherited

Prefix unary minus.

Returns
line

Definition at line 70 of file JVertex3D.hh.

71  {
74 
75  return *this;
76  }
JTime & negate()
Prefix unary minus.
JVector3D & negate()
Negate vector.
Definition: JVector3D.hh:125
JVertex3D& JGEOMETRY3D::JVertex3D::add ( const JVertex3D value)
inlineinherited

Addition operator.

Parameters
valueline
Returns
line

Definition at line 84 of file JVertex3D.hh.

85  {
86  JPosition3D::add(value);
87  JTime ::add(value);
88 
89  return *this;
90  }
JTime & add(const JTime &value)
Addition operator.
JVector3D & add(const JVector3D &vector)
Add vector.
Definition: JVector3D.hh:141
JVector3D& JGEOMETRY3D::JVector3D::add ( const JVector3D vector)
inlineinherited

Add vector.

Parameters
vectorvector
Returns
this vector

Definition at line 141 of file JVector3D.hh.

142  {
143  __x += vector.getX();
144  __y += vector.getY();
145  __z += vector.getZ();
146 
147  return *this;
148  }
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getZ() const
Get z position.
Definition: JVector3D.hh:114
JTime& JGEOMETRY3D::JTime::add ( const JTime value)
inlineinherited

Addition operator.

Parameters
valuetime
Returns
time

Definition at line 66 of file JGeometry3D/JTime.hh.

67  {
68  __t += value.getT();
69 
70  return *this;
71  }
double getT() const
Get time.
JVertex3D& JGEOMETRY3D::JVertex3D::sub ( const JVertex3D value)
inlineinherited

Subtraction operator.

Parameters
valueline
Returns
line

Definition at line 99 of file JVertex3D.hh.

100  {
101  JPosition3D::sub(value);
102  JTime ::sub(value);
103 
104  return *this;
105  }
JTime & sub(const JTime &value)
Subtraction operator.
JVector3D & sub(const JVector3D &vector)
Subtract vector.
Definition: JVector3D.hh:157
JVector3D& JGEOMETRY3D::JVector3D::sub ( const JVector3D vector)
inlineinherited

Subtract vector.

Parameters
vectorvector
Returns
this vector

Definition at line 157 of file JVector3D.hh.

158  {
159  __x -= vector.getX();
160  __y -= vector.getY();
161  __z -= vector.getZ();
162 
163  return *this;
164  }
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getZ() const
Get z position.
Definition: JVector3D.hh:114
JTime& JGEOMETRY3D::JTime::sub ( const JTime value)
inlineinherited

Subtraction operator.

Parameters
valuetime
Returns
time

Definition at line 80 of file JGeometry3D/JTime.hh.

81  {
82  __t -= value.getT();
83 
84  return *this;
85  }
double getT() const
Get time.
JVertex3D& JGEOMETRY3D::JVertex3D::mul ( const double  value)
inlineinherited

Multiplication operator.

Parameters
valuemultiplication factor
Returns
line

Definition at line 114 of file JVertex3D.hh.

115  {
116  JPosition3D::mul(value);
117  JTime ::mul(value);
118 
119  return *this;
120  }
JVector3D & mul(const double factor)
Scale vector.
Definition: JVector3D.hh:173
JTime & mul(const double value)
Multiplication operator.
JVector3D & JMATH::JMath< JVector3D , JNullType >::mul ( const JNullType object)
inlineinherited

Multiply with object.

Parameters
objectobject
Returns
result object

Definition at line 273 of file JMath.hh.

274  {
275  return static_cast<JFirst_t&>(*this) = JCalculator<JFirst_t>::calculator.mul(static_cast<const JFirst_t&>(*this), object);
276  }
Auxiliary class for arithmetic operations on objects.
Definition: JCalculator.hh:18
JVertex3D & JMATH::JMath< JVertex3D , JNullType >::mul ( const JNullType object)
inlineinherited

Multiply with object.

Parameters
objectobject
Returns
result object

Definition at line 273 of file JMath.hh.

274  {
275  return static_cast<JFirst_t&>(*this) = JCalculator<JFirst_t>::calculator.mul(static_cast<const JFirst_t&>(*this), object);
276  }
Auxiliary class for arithmetic operations on objects.
Definition: JCalculator.hh:18
JVertex3D& JGEOMETRY3D::JVertex3D::div ( const double  value)
inlineinherited

Division operator.

Parameters
valuemultiplication factor
Returns
line

Definition at line 129 of file JVertex3D.hh.

130  {
131  JPosition3D::div(value);
132  JTime ::div(value);
133 
134  return *this;
135  }
JTime & div(const double value)
Division operator.
JVector3D & div(const double factor)
Scale vector.
Definition: JVector3D.hh:189
const JPosition3D& JGEOMETRY3D::JPosition3D::getPosition ( ) const
inlineinherited

Get position.

Returns
position

Definition at line 129 of file JPosition3D.hh.

130  {
131  return static_cast<const JPosition3D&>(*this);
132  }
Data structure for position in three dimensions.
Definition: JPosition3D.hh:35
JPosition3D& JGEOMETRY3D::JPosition3D::getPosition ( )
inlineinherited

Get position.

Returns
position

Definition at line 140 of file JPosition3D.hh.

141  {
142  return static_cast<JPosition3D&>(*this);
143  }
Data structure for position in three dimensions.
Definition: JPosition3D.hh:35
void JGEOMETRY3D::JPosition3D::setPosition ( const JVector3D pos)
inlineinherited

Set position.

Parameters
posposition

Definition at line 151 of file JPosition3D.hh.

152  {
153  static_cast<JVector3D&>(*this) = pos;
154  }
Data structure for vector in three dimensions.
Definition: JVector3D.hh:33
JGEOMETRY3D::JPosition3D::operator JAngle3D ( ) const
inlineinherited

Type conversion operator.

Returns
angle

Definition at line 162 of file JPosition3D.hh.

163  {
164  return JAngle3D(getX(), getY(), getZ());
165  }
Data structure for angles in three dimensions.
Definition: JAngle3D.hh:31
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getZ() const
Get z position.
Definition: JVector3D.hh:114
JGEOMETRY3D::JPosition3D::operator JVersor3D ( ) const
inlineinherited

Type conversion operator.

Returns
direction

Definition at line 173 of file JPosition3D.hh.

174  {
175  return JVersor3D(getX(), getY(), getZ());
176  }
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
Data structure for normalised vector in three dimensions.
Definition: JVersor3D.hh:23
double getZ() const
Get z position.
Definition: JVector3D.hh:114
JPosition3D& JGEOMETRY3D::JPosition3D::rotate ( const JRotation3D R)
inlineinherited

Rotate.

Parameters
Rrotation matrix
Returns
this position

Definition at line 185 of file JPosition3D.hh.

186  {
187  R.rotate(__x, __y, __z);
188 
189  return *this;
190  }
void rotate(double &__x, double &__y, double &__z) const
Rotate.
Definition: JRotation3D.hh:336
JPosition3D& JGEOMETRY3D::JPosition3D::rotate ( const JRotation3X R)
inlineinherited

Rotate around X-axis.

Parameters
Rrotation matrix
Returns
this position

Definition at line 213 of file JPosition3D.hh.

214  {
215  R.rotate(__y, __z);
216 
217  return *this;
218  }
void rotate(double &__x, double &__y) const
Rotate.
Definition: JRotation2D.hh:96
JPosition3D& JGEOMETRY3D::JPosition3D::rotate ( const JRotation3Y R)
inlineinherited

Rotate around Y-axis.

Parameters
Rrotation matrix
Returns
this position

Definition at line 241 of file JPosition3D.hh.

242  {
243  R.rotate(__x, __z);
244 
245  return *this;
246  }
void rotate(double &__x, double &__y) const
Rotate.
Definition: JRotation2D.hh:96
JPosition3D& JGEOMETRY3D::JPosition3D::rotate ( const JRotation3Z R)
inlineinherited

Rotate around Z-axis.

Parameters
Rrotation matrix
Returns
this position

Definition at line 269 of file JPosition3D.hh.

270  {
271  R.rotate(__x, __y);
272 
273  return *this;
274  }
void rotate(double &__x, double &__y) const
Rotate.
Definition: JRotation2D.hh:96
JPosition3D& JGEOMETRY3D::JPosition3D::rotate ( const JQuaternion3D Q)
inlineinherited

Rotate.

Parameters
Qquaternion
Returns
this position

Definition at line 297 of file JPosition3D.hh.

298  {
299  Q.rotate(__x, __y, __z);
300 
301  return *this;
302  }
void rotate(double &__x, double &__y, double &__z) const
Rotate.
JPosition3D& JGEOMETRY3D::JPosition3D::rotate_back ( const JRotation3D R)
inlineinherited

Rotate back.

Parameters
Rrotation matrix
Returns
this position

Definition at line 199 of file JPosition3D.hh.

200  {
201  R.rotate_back(__x, __y, __z);
202 
203  return *this;
204  }
void rotate_back(double &__x, double &__y, double &__z) const
Rotate back.
Definition: JRotation3D.hh:355
JPosition3D& JGEOMETRY3D::JPosition3D::rotate_back ( const JRotation3X R)
inlineinherited

Rotate back around X-axis.

Parameters
Rrotation matrix
Returns
this position

Definition at line 227 of file JPosition3D.hh.

228  {
229  R.rotate_back(__y, __z);
230 
231  return *this;
232  }
void rotate_back(double &__x, double &__y) const
Rotate back.
Definition: JRotation2D.hh:112
JPosition3D& JGEOMETRY3D::JPosition3D::rotate_back ( const JRotation3Y R)
inlineinherited

Rotate back around Y-axis.

Parameters
Rrotation matrix
Returns
this position

Definition at line 255 of file JPosition3D.hh.

256  {
257  R.rotate_back(__x, __z);
258 
259  return *this;
260  }
void rotate_back(double &__x, double &__y) const
Rotate back.
Definition: JRotation2D.hh:112
JPosition3D& JGEOMETRY3D::JPosition3D::rotate_back ( const JRotation3Z R)
inlineinherited

Rotate back around Z-axis.

Parameters
Rrotation matrix
Returns
this position

Definition at line 283 of file JPosition3D.hh.

284  {
285  R.rotate_back(__x, __y);
286 
287  return *this;
288  }
void rotate_back(double &__x, double &__y) const
Rotate back.
Definition: JRotation2D.hh:112
JPosition3D& JGEOMETRY3D::JPosition3D::rotate_back ( const JQuaternion3D Q)
inlineinherited

Rotate back.

Parameters
Qquaternion
Returns
this position

Definition at line 311 of file JPosition3D.hh.

312  {
313  Q.rotate_back(__x, __y, __z);
314 
315  return *this;
316  }
void rotate_back(double &__x, double &__y, double &__z) const
Rotate back.
void JGEOMETRY3D::JPosition3D::transform ( const JRotation3D R,
const JVector3D pos 
)
inlineinherited

Transform position.

The final position is obtained as follows:

  1. rotation of the position according matrix R;
  2. offset position with pos;
  3. rotation of position around z-axis, such that final position lies in x-z plane;
Parameters
Rrotation matrix
posposition of origin (after rotation)

Definition at line 330 of file JPosition3D.hh.

332  {
333  // rotate geometry to system with particle direction along z-axis
334 
335  rotate(R);
336 
337  // offset with respect to origin
338 
339  sub(pos);
340 
341  // rotate geometry to x-z plane
342 
343  __x = sqrt(__x*__x + __y*__y);
344  __y = 0.0;
345  }
JVector3D & sub(const JVector3D &vector)
Subtract vector.
Definition: JVector3D.hh:157
JPosition3D & rotate(const JRotation3D &R)
Rotate.
Definition: JPosition3D.hh:185
JVector3D& JGEOMETRY3D::JVector3D::transform ( const JMatrix3D T)
inlineinherited

Transform.

Parameters
Tmatrix
Returns
this vector

Definition at line 205 of file JVector3D.hh.

206  {
207  T.transform(__x, __y, __z);
208 
209  return *this;
210  }
do set_variable OUTPUT_DIRECTORY $WORKDIR T
void JGEOMETRY3D::JPosition3D::transform_back ( const JRotation3D R,
const JVector3D pos 
)
inlineinherited

Transform back position.

The final position is obtained as follows:

  1. offset position with position pos;
  2. rotation of postion according matrix R;
Parameters
Rrotation matrix
posposition of origin (before rotation)

Definition at line 358 of file JPosition3D.hh.

360  {
361  // offset with respect to origin
362 
363  add(pos);
364 
365  // rotate back geometry to system with particle direction along z-axis
366 
367  rotate_back(R);
368  }
JPosition3D & rotate_back(const JRotation3D &R)
Rotate back.
Definition: JPosition3D.hh:199
JVector3D & add(const JVector3D &vector)
Add vector.
Definition: JVector3D.hh:141
JGEOMETRY3D::JVector3D::operator JVector2D ( ) const
inlineinherited

Type conversion operator.

Returns
JVector2D

Definition at line 82 of file JVector3D.hh.

83  {
84  return JVector2D(this->getX(), this->getY());
85  }
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double JGEOMETRY3D::JVector3D::getX ( ) const
inlineinherited

Get x position.

Returns
x position

Definition at line 93 of file JVector3D.hh.

94  {
95  return __x;
96  }
double JGEOMETRY3D::JVector3D::getY ( ) const
inlineinherited

Get y position.

Returns
y position

Definition at line 103 of file JVector3D.hh.

104  {
105  return __y;
106  }
bool JGEOMETRY3D::JVector3D::equals ( const JVector3D vector,
const double  precision = std::numeric_limits<double>::min() 
) const
inlineinherited

Check equality.

Parameters
vectorvector
precisionprecision
Returns
true if vectors are equal; else false

Definition at line 220 of file JVector3D.hh.

222  {
223  return (fabs(getX() - vector.getX()) <= precision &&
224  fabs(getY() - vector.getY()) <= precision &&
225  fabs(getZ() - vector.getZ()) <= precision);
226  }
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getZ() const
Get z position.
Definition: JVector3D.hh:114
double JGEOMETRY3D::JVector3D::getLengthSquared ( ) const
inlineinherited

Get length squared.

Returns
square of length

Definition at line 234 of file JVector3D.hh.

235  {
236  return getX()*getX() + getY()*getY() + getZ()*getZ();
237  }
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getZ() const
Get z position.
Definition: JVector3D.hh:114
double JGEOMETRY3D::JVector3D::getLength ( ) const
inlineinherited

Get length.

Returns
length

Definition at line 245 of file JVector3D.hh.

246  {
247  return sqrt(getLengthSquared());
248  }
double getLengthSquared() const
Get length squared.
Definition: JVector3D.hh:234
JVector3D& JGEOMETRY3D::JVector3D::cross ( const JVector3D first,
const JVector3D second 
)
inlineinherited

Get cross product.

Note that this vector should not overlap with the first or second vector,

Parameters
firstfirst vector
secondsecond vector
Returns
this vector

Definition at line 298 of file JVector3D.hh.

300  {
301  __x = first .getY() * second.getZ() - second.getY() * first .getZ();
302  __y = second.getX() * first .getZ() - first .getX() * second.getZ();
303  __z = first .getX() * second.getY() - second.getX() * first .getY();
304 
305  return *this;
306  }
double getY() const
Get y position.
Definition: JVector3D.hh:103
double getX() const
Get x position.
Definition: JVector3D.hh:93
double getZ() const
Get z position.
Definition: JVector3D.hh:114

Member Data Documentation

const int JFIT::JEstimator< JLine1Z >::NUMBER_OF_PARAMETERS = 3
static

number of parameters of fit

Definition at line 338 of file JLine1ZEstimator.hh.

co-variance matrix of fit parameters

Definition at line 339 of file JLine1ZEstimator.hh.

double JGEOMETRY3D::JVector3D::__x
protectedinherited

Definition at line 309 of file JVector3D.hh.

double JGEOMETRY3D::JVector3D::__y
protectedinherited

Definition at line 310 of file JVector3D.hh.

double JGEOMETRY3D::JVector3D::__z
protectedinherited

Definition at line 311 of file JVector3D.hh.

double JGEOMETRY3D::JTime::__t
protectedinherited

Definition at line 188 of file JGeometry3D/JTime.hh.


The documentation for this class was generated from the following file: