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JGEOMETRY3D::JAxis3D Class Reference

Axis object. More...

#include <JAxis3D.hh>

Inheritance diagram for JGEOMETRY3D::JAxis3D:
JGEOMETRY3D::JPosition3D JGEOMETRY3D::JDirection3D JGEOMETRY3D::JVector3D JGEOMETRY3D::JVersor3D JMATH::JMath< JFirst_t, JSecond_t > JMATH::JMath< JFirst_t, JSecond_t > JDETECTOR::JPMT JFIT::JPMTW0 JGEOMETRY3D::JTrack3D JTRIGGER::JHitL0 JTRIGGER::JPMTHeader JGEOMETRY3D::JTrack3E JRECONSTRUCTION::JHitW0 JTRIGGER::JFrame< JElement_t, std::allocator< JElement_t > > JTRIGGER::JFrame< JElement_t, JAllocator_t > JTRIGGER::JFrameClone< JElement_t, JAllocator_t > JGEOMETRY3D::JTrack3EY

Public Member Functions

 JAxis3D ()
 Default constructor.
 
 JAxis3D (const JVector3D &pos, const JVersor3D &dir)
 Constructor.
 
 JAxis3D (const JVector3D &pos, const JVersor3Z &dir)
 Constructor.
 
 JAxis3D (const JSegment3D &segment)
 Constructor.
 
const JAxis3DgetAxis () const
 Get axis.
 
void setAxis (const JAxis3D &axis)
 Set axis.
 
JAxis3Dnegate ()
 Negate axis.
 
void move (const double step)
 Move vertex along this axis.
 
double getIntersection (const JVector3D &pos) const
 Get longitudinal position along axis of position of closest approach with given position.
 
double getIntersection (const JAxis3D &axis, const double precision=1.0e-8) const
 Get longitudinal position along axis of position of closest approach with given axis.
 
double getDistanceSquared (const JVector3D &pos) const
 Get distance squared.
 
double getDistance (const JVector3D &pos) const
 Get distance.
 
JAxis3Drotate (const JRotation3D &R)
 Rotate axis.
 
JAxis3Drotate_back (const JRotation3D &R)
 Rotate back axis.
 
JAxis3Drotate (const JRotation3X &R)
 Rotate around X-axis.
 
JAxis3Drotate_back (const JRotation3X &R)
 Rotate back around X-axis.
 
JAxis3Drotate (const JRotation3Y &R)
 Rotate around Y-axis.
 
JAxis3Drotate_back (const JRotation3Y &R)
 Rotate back around Y-axis.
 
JAxis3Drotate (const JRotation3Z &R)
 Rotate around Z-axis.
 
JAxis3Drotate_back (const JRotation3Z &R)
 Rotate back around Z-axis.
 
JAxis3Drotate (const JQuaternion3D &Q)
 Rotate axis.
 
void transform (const JAxis3D &axis)
 Transform axis to reference frame of given axis.
 
void transform (const JRotation3D &R, const JVector3D &pos)
 Transform axis.
 
void transform_back (const JRotation3D &R, const JVector3D &pos)
 Transform back axis.
 
void transform (const JTransformation3D &T)
 Transform axis.
 
void transform_back (const JTransformation3D &T)
 Transform back axis.
 
double getDot (const JAngle3D &angle) const
 Get dot product.
 
double getDot (const JVector3D &pos) const
 Get dot product.
 
double getDot (const JVersor3Z &dir) const
 Get dot product.
 
const JPosition3DgetPosition () const
 Get position.
 
JPosition3DgetPosition ()
 Get position.
 
void setPosition (const JVector3D &pos)
 Set position.
 
 operator JAngle3D () const
 Type conversion operator.
 
 operator JVersor3D () const
 Type conversion operator.
 
JPosition3Drotate_back (const JQuaternion3D &Q)
 Rotate back.
 
JVector3Dtransform (const JMatrix3D &T)
 Transform.
 
double getDot (const JVersor3D &dir) const
 Get dot product.
 
 operator JVector2D () const
 Type conversion operator.
 
double getX () const
 Get x position.
 
double getY () const
 Get y position.
 
double getZ () const
 Get z position.
 
JVector3Dadd (const JVector3D &vector)
 Add vector.
 
JVector3Dsub (const JVector3D &vector)
 Subtract vector.
 
JVector3Dmul (const double factor)
 Scale vector.
 
JFirst_t & mul (const JSecond_t &object)
 Multiply with object.
 
JVector3Ddiv (const double factor)
 Scale vector.
 
bool equals (const JVector3D &vector, const double precision=std::numeric_limits< double >::min()) const
 Check equality.
 
double getLengthSquared () const
 Get length squared.
 
double getLength () const
 Get length.
 
JVector3DgetCross (const JVector3D &first, const JVector3D &second)
 Get cross product.
 
const JDirection3DgetDirection () const
 Get direction.
 
JDirection3DgetDirection ()
 Get direction.
 
void setDirection (const JDirection3D &dir)
 Set direction.
 
 operator JAngle3D () const
 Type conversion operator.
 
 operator JVector3D () const
 Type conversion operator.
 
JDirection3Dtransform (const JMatrix3D &T)
 Transform.
 
JDirection3Drotate_back (const JQuaternion3D &Q)
 Rotate back.
 
double getDot (const JVersor3D &versor) const
 Get dot product.
 
bool equals (const JVersor3D &versor, const double precision=std::numeric_limits< double >::min()) const
 Check equality.
 
double getDX () const
 Get x direction.
 
double getDY () const
 Get y direction.
 
double getDZ () const
 Get z direction.
 
double getTheta () const
 Get theta angle.
 
double getPhi () const
 Get phi angle.
 
JVersor3DgetCross (const JVersor3D &first, const JVersor3D &second)
 Get cross product.
 
JVersor3Dnormalise ()
 Normalise versor.
 
JFirst_t & mul (const JSecond_t &object)
 Multiply with object.
 

Protected Attributes

double __x
 
double __y
 
double __z
 
double __dx
 
double __dy
 
double __dz
 

Friends

std::istream & operator>> (std::istream &in, JAxis3D &axis)
 Read axis from input.
 
std::ostream & operator<< (std::ostream &out, const JAxis3D &axis)
 Write axis to output.
 
JReaderoperator>> (JReader &in, JAxis3D &axis)
 Read axis from input.
 
JWriteroperator<< (JWriter &out, const JAxis3D &axis)
 Write axis to output.
 

Detailed Description

Axis object.

An axis object consists of a position and a direction.

Definition at line 38 of file JAxis3D.hh.

Constructor & Destructor Documentation

◆ JAxis3D() [1/4]

JGEOMETRY3D::JAxis3D::JAxis3D ( )
inline

Default constructor.

Definition at line 50 of file JAxis3D.hh.

50 :
51 JPosition3D (),
53 {}
JDirection3D()
Default constructor.
JPosition3D()
Default constructor.

◆ JAxis3D() [2/4]

JGEOMETRY3D::JAxis3D::JAxis3D ( const JVector3D & pos,
const JVersor3D & dir )
inline

Constructor.

Parameters
posposition
dirdirection

Definition at line 62 of file JAxis3D.hh.

63 :
64 JPosition3D (pos),
65 JDirection3D(dir)
66 {}

◆ JAxis3D() [3/4]

JGEOMETRY3D::JAxis3D::JAxis3D ( const JVector3D & pos,
const JVersor3Z & dir )
inline

Constructor.

Parameters
posposition
dirdirection

Definition at line 75 of file JAxis3D.hh.

76 :
77 JPosition3D (pos),
78 JDirection3D(dir)
79 {}

◆ JAxis3D() [4/4]

JGEOMETRY3D::JAxis3D::JAxis3D ( const JSegment3D & segment)
inline

Constructor.

Parameters
segmentline segment

Definition at line 87 of file JAxis3D.hh.

87 :
88 JPosition3D (segment.first),
89 JDirection3D(segment.second - segment.first)
90 {}

Member Function Documentation

◆ getAxis()

const JAxis3D & JGEOMETRY3D::JAxis3D::getAxis ( ) const
inline

Get axis.

Returns
axis

Definition at line 98 of file JAxis3D.hh.

99 {
100 return *this;
101 }

◆ setAxis()

void JGEOMETRY3D::JAxis3D::setAxis ( const JAxis3D & axis)
inline

Set axis.

Parameters
axisaxis

Definition at line 109 of file JAxis3D.hh.

110 {
111 *this = axis;
112 }

◆ negate()

JAxis3D & JGEOMETRY3D::JAxis3D::negate ( )
inline

Negate axis.

Returns
this axis

Definition at line 120 of file JAxis3D.hh.

121 {
122 static_cast<JPosition3D&> (*this).negate();
123 static_cast<JDirection3D&>(*this).negate();
124
125 return *this;
126 }

◆ move()

void JGEOMETRY3D::JAxis3D::move ( const double step)
inline

Move vertex along this axis.

Parameters
stepstep

Definition at line 134 of file JAxis3D.hh.

135 {
136 getPosition() += step * JPosition3D(getDirection());
137 }
const JDirection3D & getDirection() const
Get direction.
const JPosition3D & getPosition() const
Get position.

◆ getIntersection() [1/2]

double JGEOMETRY3D::JAxis3D::getIntersection ( const JVector3D & pos) const
inline

Get longitudinal position along axis of position of closest approach with given position.

Parameters
posposition
Returns
longitudinal position

Definition at line 146 of file JAxis3D.hh.

147 {
148 JPosition3D D(pos);
149
150 D.sub(this->getPosition());
151
152 return D.getDot(this->getDirection());
153 }

◆ getIntersection() [2/2]

double JGEOMETRY3D::JAxis3D::getIntersection ( const JAxis3D & axis,
const double precision = 1.0e-8 ) const
inline

Get longitudinal position along axis of position of closest approach with given axis.


If the axes are paralel, this position corresponds to the vertex of the given axis.

Parameters
axisaxis
precisionprecision
Returns
longitudinal position

Definition at line 164 of file JAxis3D.hh.

165 {
166 JPosition3D pos(getPosition ());
168
169 const JRotation3D R(axis.getDirection());
170
171 // offset this position with position of given axis
172
173 pos.sub(axis.getPosition());
174
175 // rotate along given axis
176
177 pos.rotate(R);
178 dir.rotate(R);
179
180 // longitudinal position at minimal distance of approach
181
182 const double alpha = pos.getX() * dir.getDX() + pos.getY() * dir.getDY();
183 const double beta = dir.getDX() * dir.getDX() + dir.getDY() * dir.getDY();
184
185 return (fabs(beta) > precision ? -alpha/beta : -pos.getZ());
186 }

◆ getDistanceSquared()

double JGEOMETRY3D::JAxis3D::getDistanceSquared ( const JVector3D & pos) const
inline

Get distance squared.

Parameters
posposition
Returns
square of distance

Definition at line 195 of file JAxis3D.hh.

196 {
197 JPosition3D D(pos);
198
199 D.sub(this->getPosition());
200
201 const double dz = D.getDot(this->getDirection());
202
203 return D.getLengthSquared() - dz*dz;
204 }

◆ getDistance()

double JGEOMETRY3D::JAxis3D::getDistance ( const JVector3D & pos) const
inline

Get distance.

Parameters
pososition
Returns
distance

Definition at line 213 of file JAxis3D.hh.

214 {
215 return sqrt(this->getDistanceSquared(pos));
216 }
double getDistanceSquared(const JVector3D &pos) const
Get distance squared.
Definition JAxis3D.hh:195

◆ rotate() [1/5]

JAxis3D & JGEOMETRY3D::JAxis3D::rotate ( const JRotation3D & R)
inline

Rotate axis.

Parameters
Rrotation matrix
Returns
this axis

Definition at line 225 of file JAxis3D.hh.

226 {
227 static_cast<JPosition3D&> (*this).rotate(R);
228 static_cast<JDirection3D&>(*this).rotate(R);
229
230 return *this;
231 }

◆ rotate_back() [1/6]

JAxis3D & JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3D & R)
inline

Rotate back axis.

Parameters
Rrotation matrix
Returns
this axis

Definition at line 240 of file JAxis3D.hh.

241 {
242 static_cast<JPosition3D&> (*this).rotate_back(R);
243 static_cast<JDirection3D&>(*this).rotate_back(R);
244
245 return *this;
246 }

◆ rotate() [2/5]

JAxis3D & JGEOMETRY3D::JAxis3D::rotate ( const JRotation3X & R)
inline

Rotate around X-axis.

Parameters
Rrotation matrix
Returns
this axis

Definition at line 255 of file JAxis3D.hh.

256 {
257 static_cast<JPosition3D&> (*this).rotate(R);
258 static_cast<JDirection3D&>(*this).rotate(R);
259
260 return *this;
261 }

◆ rotate_back() [2/6]

JAxis3D & JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3X & R)
inline

Rotate back around X-axis.

Parameters
Rrotation matrix
Returns
this axis

Definition at line 270 of file JAxis3D.hh.

271 {
272 static_cast<JPosition3D&> (*this).rotate_back(R);
273 static_cast<JDirection3D&>(*this).rotate_back(R);
274
275 return *this;
276 }

◆ rotate() [3/5]

JAxis3D & JGEOMETRY3D::JAxis3D::rotate ( const JRotation3Y & R)
inline

Rotate around Y-axis.

Parameters
Rrotation matrix
Returns
this axis

Definition at line 285 of file JAxis3D.hh.

286 {
287 static_cast<JPosition3D&> (*this).rotate(R);
288 static_cast<JDirection3D&>(*this).rotate(R);
289
290 return *this;
291 }

◆ rotate_back() [3/6]

JAxis3D & JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3Y & R)
inline

Rotate back around Y-axis.

Parameters
Rrotation matrix
Returns
this axis

Definition at line 300 of file JAxis3D.hh.

301 {
302 static_cast<JPosition3D&> (*this).rotate_back(R);
303 static_cast<JDirection3D&>(*this).rotate_back(R);
304
305 return *this;
306 }

◆ rotate() [4/5]

JAxis3D & JGEOMETRY3D::JAxis3D::rotate ( const JRotation3Z & R)
inline

Rotate around Z-axis.

Parameters
Rrotation matrix
Returns
this axis

Definition at line 315 of file JAxis3D.hh.

316 {
317 static_cast<JPosition3D&> (*this).rotate(R);
318 static_cast<JDirection3D&>(*this).rotate(R);
319
320 return *this;
321 }

◆ rotate_back() [4/6]

JAxis3D & JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3Z & R)
inline

Rotate back around Z-axis.

Parameters
Rrotation matrix
Returns
his axis

Definition at line 330 of file JAxis3D.hh.

331 {
332 static_cast<JPosition3D&> (*this).rotate_back(R);
333 static_cast<JDirection3D&>(*this).rotate_back(R);
334
335 return *this;
336 }

◆ rotate() [5/5]

JAxis3D & JGEOMETRY3D::JAxis3D::rotate ( const JQuaternion3D & Q)
inline

Rotate axis.

Parameters
Qquaternion
Returns
this axis

Definition at line 345 of file JAxis3D.hh.

346 {
347 static_cast<JPosition3D&> (*this).rotate(Q);
348 static_cast<JDirection3D&>(*this).rotate(Q);
349
350 return *this;
351 }

◆ transform() [1/5]

void JGEOMETRY3D::JAxis3D::transform ( const JAxis3D & axis)
inline

Transform axis to reference frame of given axis.

Parameters
axisaxis

Definition at line 359 of file JAxis3D.hh.

360 {
361 JRotation3D R (axis.getDirection());
362 JPosition3D pos(axis.getPosition ());
363
364 transform(R, pos.rotate(R));
365 }
void transform(const JAxis3D &axis)
Transform axis to reference frame of given axis.
Definition JAxis3D.hh:359

◆ transform() [2/5]

void JGEOMETRY3D::JAxis3D::transform ( const JRotation3D & R,
const JVector3D & pos )
inline

Transform axis.

The final position and direction are obtained as follows:

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

Definition at line 379 of file JAxis3D.hh.

381 {
382 JPosition3D& u = getPosition ();
384
385 // rotate axis to system such that direction is along z-axis
386
387 u.rotate(R);
388 v.rotate(R);
389
390 // offset with respect to origin
391
392 u.sub(pos);
393
394 // rotate axis to x-z plane such that position is in x-z plane
395
396 const double phi = atan2(u.getY(), u.getX());
397
398 const JRotation3Z r(-phi);
399
400 u.rotate(r);
401 v.rotate(r);
402 }

◆ transform_back() [1/2]

void JGEOMETRY3D::JAxis3D::transform_back ( const JRotation3D & R,
const JVector3D & pos )
inline

Transform back axis.

The final position and direction are obtained as follows:

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

Definition at line 415 of file JAxis3D.hh.

417 {
418 JPosition3D& u = getPosition ();
420
421 // offset with respect to origin
422
423 u.add(pos);
424
425 // rotate back axis to system with original particle direction
426
427 u.rotate_back(R);
428 v.rotate_back(R);
429 }

◆ transform() [3/5]

void JGEOMETRY3D::JAxis3D::transform ( const JTransformation3D & T)
inline

Transform axis.

Parameters
Ttransformation

Definition at line 437 of file JAxis3D.hh.

438 {
439 transform(T.getRotation(), T.getPosition());
440 }

◆ transform_back() [2/2]

void JGEOMETRY3D::JAxis3D::transform_back ( const JTransformation3D & T)
inline

Transform back axis.

Parameters
Ttransformation

Definition at line 448 of file JAxis3D.hh.

449 {
450 transform_back(T.getRotation(), T.getPosition());
451 }
void transform_back(const JRotation3D &R, const JVector3D &pos)
Transform back axis.
Definition JAxis3D.hh:415

◆ getDot() [1/5]

double JGEOMETRY3D::JDirection3D::getDot ( const JAngle3D & angle) const
inline

Get dot product.

Parameters
angleangle
Returns
dot product

Definition at line 335 of file JDirection3D.hh.

336 {
337 return
338 getDX() * angle.getDX() +
339 getDY() * angle.getDY() +
340 getDZ() * angle.getDZ();
341 }
double getDY() const
Get y direction.
Definition JVersor3D.hh:106
double getDX() const
Get x direction.
Definition JVersor3D.hh:95
double getDZ() const
Get z direction.
Definition JVersor3D.hh:117

◆ getDot() [2/5]

double JGEOMETRY3D::JDirection3D::getDot ( const JVector3D & pos) const
inline

Get dot product.

Parameters
posposition
Returns
dot product

Definition at line 350 of file JDirection3D.hh.

351 {
352 return
353 getDX() * pos.getX() +
354 getDY() * pos.getY() +
355 getDZ() * pos.getZ();
356 }

◆ getDot() [3/5]

double JGEOMETRY3D::JDirection3D::getDot ( const JVersor3Z & dir) const
inline

Get dot product.

Parameters
dirdirection
Returns
dot product

Definition at line 365 of file JDirection3D.hh.

366 {
367 return
368 getDX() * dir.getDX() +
369 getDY() * dir.getDY() +
370 getDZ() * dir.getDZ();
371 }

◆ getPosition() [1/2]

const JPosition3D & JGEOMETRY3D::JPosition3D::getPosition ( ) const
inlineinherited

Get position.

Returns
position

Definition at line 130 of file JPosition3D.hh.

131 {
132 return static_cast<const JPosition3D&>(*this);
133 }

◆ getPosition() [2/2]

JPosition3D & JGEOMETRY3D::JPosition3D::getPosition ( )
inlineinherited

Get position.

Returns
position

Definition at line 141 of file JPosition3D.hh.

142 {
143 return static_cast<JPosition3D&>(*this);
144 }

◆ setPosition()

void JGEOMETRY3D::JPosition3D::setPosition ( const JVector3D & pos)
inlineinherited

Set position.

Parameters
posposition

Definition at line 152 of file JPosition3D.hh.

153 {
154 static_cast<JVector3D&>(*this) = pos;
155 }
JVector3D()
Default constructor.
Definition JVector3D.hh:41

◆ operator JAngle3D() [1/2]

JGEOMETRY3D::JPosition3D::operator JAngle3D ( ) const
inlineinherited

Type conversion operator.

Returns
angle

Definition at line 163 of file JPosition3D.hh.

164 {
165 return JAngle3D(getX(), getY(), getZ());
166 }
double getY() const
Get y position.
Definition JVector3D.hh:104
double getZ() const
Get z position.
Definition JVector3D.hh:115
double getX() const
Get x position.
Definition JVector3D.hh:94

◆ operator JVersor3D()

JGEOMETRY3D::JPosition3D::operator JVersor3D ( ) const
inlineinherited

Type conversion operator.

Returns
direction

Definition at line 174 of file JPosition3D.hh.

175 {
176 return JVersor3D(getX(), getY(), getZ());
177 }

◆ rotate_back() [5/6]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate_back ( const JQuaternion3D & Q)
inlineinherited

Rotate back.

Parameters
Qquaternion
Returns
this position

Definition at line 312 of file JPosition3D.hh.

313 {
314 Q.rotate_back(__x, __y, __z);
315
316 return *this;
317 }

◆ transform() [4/5]

JVector3D & JGEOMETRY3D::JVector3D::transform ( const JMatrix3D & T)
inlineinherited

Transform.

Parameters
Tmatrix
Returns
this vector

Definition at line 206 of file JVector3D.hh.

207 {
208 T.transform(__x, __y, __z);
209
210 return *this;
211 }

◆ getDot() [4/5]

double JGEOMETRY3D::JPosition3D::getDot ( const JVersor3D & dir) const
inlineinherited

Get dot product.

Parameters
dirdirection
Returns
dot product

Definition at line 393 of file JPosition3D.hh.

394 {
395 return
396 getX() * dir.getDX() +
397 getY() * dir.getDY() +
398 getZ() * dir.getDZ();
399 }

◆ operator JVector2D()

JGEOMETRY3D::JVector3D::operator JVector2D ( ) const
inlineinherited

Type conversion operator.

Returns
JVector2D

Definition at line 83 of file JVector3D.hh.

84 {
85 return JVector2D(this->getX(), this->getY());
86 }

◆ getX()

double JGEOMETRY3D::JVector3D::getX ( ) const
inlineinherited

Get x position.

Returns
x position

Definition at line 94 of file JVector3D.hh.

95 {
96 return __x;
97 }

◆ getY()

double JGEOMETRY3D::JVector3D::getY ( ) const
inlineinherited

Get y position.

Returns
y position

Definition at line 104 of file JVector3D.hh.

105 {
106 return __y;
107 }

◆ getZ()

double JGEOMETRY3D::JVector3D::getZ ( ) const
inlineinherited

Get z position.

Returns
z position

Definition at line 115 of file JVector3D.hh.

116 {
117 return __z;
118 }

◆ add()

JVector3D & JGEOMETRY3D::JVector3D::add ( const JVector3D & vector)
inlineinherited

Add vector.

Parameters
vectorvector
Returns
this vector

Definition at line 142 of file JVector3D.hh.

143 {
144 __x += vector.getX();
145 __y += vector.getY();
146 __z += vector.getZ();
147
148 return *this;
149 }

◆ sub()

JVector3D & JGEOMETRY3D::JVector3D::sub ( const JVector3D & vector)
inlineinherited

Subtract vector.

Parameters
vectorvector
Returns
this vector

Definition at line 158 of file JVector3D.hh.

159 {
160 __x -= vector.getX();
161 __y -= vector.getY();
162 __z -= vector.getZ();
163
164 return *this;
165 }

◆ mul() [1/3]

JVector3D & JGEOMETRY3D::JVector3D::mul ( const double factor)
inlineinherited

Scale vector.

Parameters
factormultiplication factor
Returns
this vector

Definition at line 174 of file JVector3D.hh.

175 {
176 __x *= factor;
177 __y *= factor;
178 __z *= factor;
179
180 return *this;
181 }

◆ mul() [2/3]

template<class JFirst_t , class JSecond_t >
JFirst_t & JMATH::JMath< JFirst_t, JSecond_t >::mul ( const JSecond_t & object)
inlineinherited

Multiply with object.

Parameters
objectobject
Returns
result object

Definition at line 354 of file JMath.hh.

355 {
356 return static_cast<JFirst_t&>(*this) = JFirst_t().mul(static_cast<const JFirst_t&>(*this), object);
357 }

◆ div()

JVector3D & JGEOMETRY3D::JVector3D::div ( const double factor)
inlineinherited

Scale vector.

Parameters
factordivision factor
Returns
this vector

Definition at line 190 of file JVector3D.hh.

191 {
192 __x /= factor;
193 __y /= factor;
194 __z /= factor;
195
196 return *this;
197 }

◆ equals() [1/2]

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 221 of file JVector3D.hh.

223 {
224 return (fabs(getX() - vector.getX()) <= precision &&
225 fabs(getY() - vector.getY()) <= precision &&
226 fabs(getZ() - vector.getZ()) <= precision);
227 }

◆ getLengthSquared()

double JGEOMETRY3D::JVector3D::getLengthSquared ( ) const
inlineinherited

Get length squared.

Returns
square of length

Definition at line 235 of file JVector3D.hh.

236 {
237 return getX()*getX() + getY()*getY() + getZ()*getZ();
238 }

◆ getLength()

double JGEOMETRY3D::JVector3D::getLength ( ) const
inlineinherited

Get length.

Returns
length

Definition at line 246 of file JVector3D.hh.

247 {
248 return sqrt(getLengthSquared());
249 }
double getLengthSquared() const
Get length squared.
Definition JVector3D.hh:235

◆ getCross() [1/2]

JVector3D & JGEOMETRY3D::JVector3D::getCross ( 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 299 of file JVector3D.hh.

301 {
302 __x = first .getY() * second.getZ() - second.getY() * first .getZ();
303 __y = second.getX() * first .getZ() - first .getX() * second.getZ();
304 __z = first .getX() * second.getY() - second.getX() * first .getY();
305
306 return *this;
307 }

◆ getDirection() [1/2]

const JDirection3D & JGEOMETRY3D::JDirection3D::getDirection ( ) const
inlineinherited

Get direction.

Returns
direction

Definition at line 107 of file JDirection3D.hh.

108 {
109 return static_cast<const JDirection3D&>(*this);
110 }

◆ getDirection() [2/2]

JDirection3D & JGEOMETRY3D::JDirection3D::getDirection ( )
inlineinherited

Get direction.

Returns
direction

Definition at line 118 of file JDirection3D.hh.

119 {
120 return static_cast<JDirection3D&>(*this);
121 }

◆ setDirection()

void JGEOMETRY3D::JDirection3D::setDirection ( const JDirection3D & dir)
inlineinherited

Set direction.

Parameters
dirdirection

Definition at line 129 of file JDirection3D.hh.

130 {
131 static_cast<JDirection3D&>(*this) = dir;
132 }

◆ operator JAngle3D() [2/2]

JGEOMETRY3D::JDirection3D::operator JAngle3D ( ) const
inlineinherited

Type conversion operator.

Returns
angle

Definition at line 140 of file JDirection3D.hh.

141 {
142 return JAngle3D(getDX(), getDY(), getDZ());
143 }

◆ operator JVector3D()

JGEOMETRY3D::JDirection3D::operator JVector3D ( ) const
inlineinherited

Type conversion operator.

Returns
position

Definition at line 151 of file JDirection3D.hh.

152 {
153 return JVector3D(getDX(), getDY(), getDZ());
154 }

◆ transform() [5/5]

JDirection3D & JGEOMETRY3D::JDirection3D::transform ( const JMatrix3D & T)
inlineinherited

Transform.

Parameters
Tmatrix
Returns
this direction

Definition at line 163 of file JDirection3D.hh.

164 {
165 T.transform(__dx, __dy, __dz);
166
167 normalise();
168
169 return *this;
170 }
JVersor3D & normalise()
Normalise versor.
Definition JVersor3D.hh:192

◆ rotate_back() [6/6]

JDirection3D & JGEOMETRY3D::JDirection3D::rotate_back ( const JQuaternion3D & Q)
inlineinherited

Rotate back.

Parameters
Qquaternion
Returns
this position

Definition at line 321 of file JDirection3D.hh.

322 {
323 Q.rotate_back(__dx, __dy, __dz);
324
325 return *this;
326 }

◆ getDot() [5/5]

double JGEOMETRY3D::JVersor3D::getDot ( const JVersor3D & versor) const
inlineinherited

Get dot product.

Parameters
versorversor
Returns
dot product

Definition at line 156 of file JVersor3D.hh.

157 {
158 return
159 getDX() * versor.getDX() +
160 getDY() * versor.getDY() +
161 getDZ() * versor.getDZ();
162 }

◆ equals() [2/2]

bool JGEOMETRY3D::JVersor3D::equals ( const JVersor3D & versor,
const double precision = std::numeric_limits<double>::min() ) const
inlineinherited

Check equality.

Parameters
versorversor
precisionprecision
Returns
true if versors are equal; else false

Definition at line 81 of file JVersor3D.hh.

83 {
84 return (fabs(getDX() - versor.getDX()) <= precision &&
85 fabs(getDY() - versor.getDY()) <= precision &&
86 fabs(getDZ() - versor.getDZ()) <= precision);
87 }

◆ getDX()

double JGEOMETRY3D::JVersor3D::getDX ( ) const
inlineinherited

Get x direction.

Returns
x direction

Definition at line 95 of file JVersor3D.hh.

96 {
97 return __dx;
98 }

◆ getDY()

double JGEOMETRY3D::JVersor3D::getDY ( ) const
inlineinherited

Get y direction.

Returns
y direction

Definition at line 106 of file JVersor3D.hh.

107 {
108 return __dy;
109 }

◆ getDZ()

double JGEOMETRY3D::JVersor3D::getDZ ( ) const
inlineinherited

Get z direction.

Returns
z direction

Definition at line 117 of file JVersor3D.hh.

118 {
119 return __dz;
120 }

◆ getTheta()

double JGEOMETRY3D::JVersor3D::getTheta ( ) const
inlineinherited

Get theta angle.

Returns
theta angle [rad]

Definition at line 128 of file JVersor3D.hh.

129 {
130 if (__dz > +1.0)
131 return 0.0;
132 else if (__dz < -1.0)
133 return JMATH::PI;
134 else
135 return acos(__dz);
136 }
static const double PI
Mathematical constants.

◆ getPhi()

double JGEOMETRY3D::JVersor3D::getPhi ( ) const
inlineinherited

Get phi angle.

Returns
phi angle [rad]

Definition at line 144 of file JVersor3D.hh.

145 {
146 return atan2(__dy, __dx);
147 }

◆ getCross() [2/2]

JVersor3D & JGEOMETRY3D::JVersor3D::getCross ( const JVersor3D & first,
const JVersor3D & second )
inlineinherited

Get cross product.

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

Parameters
firstfirst versor
secondsecond versor
Returns
this versor

Definition at line 173 of file JVersor3D.hh.

175 {
176 __dx = first .getDY() * second.getDZ() - second.getDY() * first .getDZ();
177 __dy = second.getDX() * first .getDZ() - first .getDX() * second.getDZ();
178 __dz = first .getDX() * second.getDY() - second.getDX() * first .getDY();
179
180 normalise();
181
182 return *this;
183 }

◆ normalise()

JVersor3D & JGEOMETRY3D::JVersor3D::normalise ( )
inlineinherited

Normalise versor.

This operation may set the result to the unit z-vector.

Returns
this versor

Definition at line 192 of file JVersor3D.hh.

193 {
194 const double v = sqrt(getDX()*getDX() + getDY()*getDY() + getDZ()*getDZ());
195
196 if (v != 0.0) {
197 __dx /= v;
198 __dy /= v;
199 __dz /= v;
200 }
201
202 return *this;
203 }

◆ mul() [3/3]

template<class JFirst_t , class JSecond_t >
JFirst_t & JMATH::JMath< JFirst_t, JSecond_t >::mul ( const JSecond_t & object)
inlineinherited

Multiply with object.

Parameters
objectobject
Returns
result object

Definition at line 354 of file JMath.hh.

355 {
356 return static_cast<JFirst_t&>(*this) = JFirst_t().mul(static_cast<const JFirst_t&>(*this), object);
357 }

Friends And Related Symbol Documentation

◆ operator>> [1/2]

std::istream & operator>> ( std::istream & in,
JAxis3D & axis )
friend

Read axis from input.

Parameters
ininput stream
axisaxis
Returns
input stream

Definition at line 461 of file JAxis3D.hh.

462 {
463 in >> static_cast<JPosition3D&> (axis);
464 in >> static_cast<JDirection3D&>(axis);
465
466 return in;
467 }

◆ operator<< [1/2]

std::ostream & operator<< ( std::ostream & out,
const JAxis3D & axis )
friend

Write axis to output.

Parameters
outoutput stream
axisaxis
Returns
output stream

Definition at line 477 of file JAxis3D.hh.

478 {
479 out << static_cast<const JPosition3D&> (axis);
480 out << ' ';
481 out << static_cast<const JDirection3D&>(axis);
482
483 return out;
484 }

◆ operator>> [2/2]

JReader & operator>> ( JReader & in,
JAxis3D & axis )
friend

Read axis from input.

Parameters
inreader
axisaxis
Returns
reader

Definition at line 494 of file JAxis3D.hh.

495 {
496 in >> static_cast<JPosition3D&> (axis);
497 in >> static_cast<JDirection3D&>(axis);
498
499 return in;
500 }

◆ operator<< [2/2]

JWriter & operator<< ( JWriter & out,
const JAxis3D & axis )
friend

Write axis to output.

Parameters
outwriter
axisaxis
Returns
writer

Definition at line 510 of file JAxis3D.hh.

511 {
512 out << static_cast<const JPosition3D&> (axis);
513 out << static_cast<const JDirection3D&>(axis);
514
515 return out;
516 }

Member Data Documentation

◆ __x

double JGEOMETRY3D::JVector3D::__x
protectedinherited

Definition at line 310 of file JVector3D.hh.

◆ __y

double JGEOMETRY3D::JVector3D::__y
protectedinherited

Definition at line 311 of file JVector3D.hh.

◆ __z

double JGEOMETRY3D::JVector3D::__z
protectedinherited

Definition at line 312 of file JVector3D.hh.

◆ __dx

double JGEOMETRY3D::JVersor3D::__dx
protectedinherited

Definition at line 206 of file JVersor3D.hh.

◆ __dy

double JGEOMETRY3D::JVersor3D::__dy
protectedinherited

Definition at line 207 of file JVersor3D.hh.

◆ __dz

double JGEOMETRY3D::JVersor3D::__dz
protectedinherited

Definition at line 208 of file JVersor3D.hh.


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