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Public Member Functions | Static Public Member Functions | Public Attributes | Protected Attributes | List of all members
JGEOMETRY3D::JTransformation3D Struct Reference

Transformation. More...

#include <JTransformation3D.hh>

Inheritance diagram for JGEOMETRY3D::JTransformation3D:
JGEOMETRY3D::JPosition3D JGEOMETRY3D::JRotation3D JGEOMETRY3D::JVector3D JMATH::JMatrix3D JMATH::JMath< JFirst_t, JSecond_t > JMATH::JMath< JVector3D > JMATH::JMath< JMatrix3D > JLANG::JEquals< JFirst_t, JSecond_t >

Public Member Functions

 JTransformation3D (const JPosition3D &pos, const JDirection3D &dir)
 Constructor. More...
 
JPosition3D transform (const JPosition3D &pos) const
 Transform position. More...
 
JPosition3D transform_back (const JPosition3D &pos) const
 Transform back position. More...
 
const JPosition3D & getPosition () const
 Get position. More...
 
JPosition3D & getPosition ()
 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...
 
JPosition3D & rotate (const JRotation3D &R)
 Rotate. More...
 
JPosition3D & rotate (const JRotation3X &R)
 Rotate around X-axis. More...
 
JPosition3D & rotate (const JRotation3Y &R)
 Rotate around Y-axis. More...
 
JPosition3D & rotate (const JRotation3Z &R)
 Rotate around Z-axis. More...
 
JPosition3D & rotate (const JQuaternion3D &Q)
 Rotate. More...
 
JPosition3D & rotate_back (const JRotation3D &R)
 Rotate back. More...
 
JPosition3D & rotate_back (const JRotation3X &R)
 Rotate back around X-axis. More...
 
JPosition3D & rotate_back (const JRotation3Y &R)
 Rotate back around Y-axis. More...
 
JPosition3D & rotate_back (const JRotation3Z &R)
 Rotate back around Z-axis. More...
 
JPosition3D & rotate_back (const JQuaternion3D &Q)
 Rotate back. More...
 
void transform (const JRotation3D &R, const JVector3D &pos)
 Transform position. More...
 
JVector3D & transform (const JMatrix3D &T)
 Transform. More...
 
JVector3D & transform (const JMatrix3D &T)
 Transform. More...
 
void transform_back (const JRotation3D &R, const JVector3D &pos)
 Transform back position. 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...
 
double getDot (const JVector3D &vector) const
 Get dot product. More...
 
 operator JVector2D () const
 Type conversion operator. More...
 
double getX () const
 Get x position. More...
 
double getY () const
 Get y position. More...
 
double getZ () const
 Get z position. More...
 
JVector3D & negate ()
 Negate vector. More...
 
JVector3D & add (const JVector3D &vector)
 Add vector. More...
 
JVector3D & sub (const JVector3D &vector)
 Subtract vector. More...
 
JVector3D & mul (const double factor)
 Scale vector. More...
 
JVector3D & mul (const JSecond_t &object)
 Multiply with object. More...
 
JVector3D & div (const double factor)
 Scale vector. 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...
 
double getDistanceSquared (const JVector3D &pos) const
 Get squared of distance to point. More...
 
double getDistance (const JVector3D &pos) const
 Get distance to point. More...
 
JVector3D & cross (const JVector3D &first, const JVector3D &second)
 Get cross product. More...
 
const JRotation3D & getRotation () const
 Get rotation. More...
 
 operator JQuaternion3D () const
 Type conversion operator. More...
 
JRotation3D & transpose ()
 Transpose. More...
 
JRotation3D & mul (const JRotation3D &A, const JRotation3D &B)
 Matrix multiplication. More...
 
JMatrix3D & mul (const double factor)
 Scale matrix. More...
 
JMatrix3D & mul (const JMatrix3D &A, const JMatrix3D &B)
 Matrix multiplication. More...
 
JMatrix3D & mul (const JSecond_t &object)
 Multiply with object. More...
 
JFirst_t & mul (const JSecond_t &object)
 Multiply with object. More...
 
void rotate (double &__x, double &__y, double &__z) const
 Rotate. More...
 
void rotate_back (double &__x, double &__y, double &__z) const
 Rotate back. More...
 
JMatrix3D & setIdentity ()
 Set to identity matrix. More...
 
void set (const JMatrix3D &A)
 Set matrix. More...
 
JMatrix3D & reset ()
 Set matrix to the null matrix. More...
 
JMatrix3D & negate ()
 Negate matrix. More...
 
JMatrix3D & add (const JMatrix3D &A)
 Matrix addition. More...
 
JMatrix3D & sub (const JMatrix3D &A)
 Matrix subtraction. More...
 
JMatrix3D & div (const double factor)
 Scale matrix. More...
 
bool equals (const JMatrix3D &A, const double eps=std::numeric_limits< double >::min()) const
 Equality. More...
 
bool isIdentity (const double eps=std::numeric_limits< double >::min()) const
 Test identity. More...
 
double getDeterminant () const
 Get determinant of matrix. More...
 
void transform (double &__x, double &__y, double &__z) const
 Transform. More...
 

Static Public Member Functions

static const JMatrix3D & getInstance ()
 Get reference to unique instance of this class object. More...
 
static const JMatrix3D & getIdentity ()
 Get reference to unique instance of this class object. More...
 

Public Attributes

double a00
 
double a01
 
double a02
 
double a10
 
double a11
 
double a12
 
double a20
 
double a21
 
double a22
 

Protected Attributes

double __x
 
double __y
 
double __z
 

Detailed Description

Transformation.

This class defines the transformation of the coordinate system such that the z-axis is along the given direction with the origin at the given position.

Definition at line 24 of file JTransformation3D.hh.

Constructor & Destructor Documentation

◆ JTransformation3D()

JGEOMETRY3D::JTransformation3D::JTransformation3D ( const JPosition3D &  pos,
const JDirection3D &  dir 
)
inline

Constructor.

Parameters
posposition
dirdirection

Definition at line 34 of file JTransformation3D.hh.

35  :
36  JPosition3D(pos),
37  JRotation3D(dir)
38  {
39  this->getPosition().rotate(this->getRotation());
40  }

Member Function Documentation

◆ transform() [1/5]

JPosition3D JGEOMETRY3D::JTransformation3D::transform ( const JPosition3D &  pos) const
inline

Transform position.

Parameters
posposition
Returns
position

Definition at line 49 of file JTransformation3D.hh.

50  {
51  JPosition3D abc(pos);
52 
53  abc.transform(this->getRotation(), this->getPosition());
54 
55  return abc;
56  }

◆ transform_back() [1/2]

JPosition3D JGEOMETRY3D::JTransformation3D::transform_back ( const JPosition3D &  pos) const
inline

Transform back position.

Parameters
posposition
Returns
position

Definition at line 65 of file JTransformation3D.hh.

66  {
67  JPosition3D abc(pos);
68 
69  abc.transform_back(this->getRotation(), this->getPosition());
70 
71  return abc;
72  }

◆ getPosition() [1/2]

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  }

◆ getPosition() [2/2]

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  }

◆ setPosition()

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  }

◆ operator JAngle3D()

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  }

◆ operator JVersor3D()

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  }

◆ rotate() [1/6]

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  }

◆ rotate() [2/6]

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  }

◆ rotate() [3/6]

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  }

◆ rotate() [4/6]

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  }

◆ rotate() [5/6]

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  }

◆ rotate_back() [1/6]

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  }

◆ rotate_back() [2/6]

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  }

◆ rotate_back() [3/6]

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  }

◆ rotate_back() [4/6]

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  }

◆ rotate_back() [5/6]

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  }

◆ transform() [2/5]

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  }

◆ transform() [3/5]

JVector3D& JGEOMETRY3D::JVector3D::transform
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  }

◆ transform() [4/5]

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  }

◆ transform_back() [2/2]

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  }

◆ getDot() [1/5]

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  }

◆ getDot() [2/5]

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  }

◆ getDot() [3/5]

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  }

◆ getDot() [4/5]

double JGEOMETRY3D::JVector3D::getDot
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  }

◆ getDot() [5/5]

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  }

◆ operator JVector2D()

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  }

◆ getX()

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  }

◆ getY()

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  }

◆ getZ()

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  }

◆ negate() [1/2]

JVector3D& JGEOMETRY3D::JVector3D::negate ( )
inlineinherited

Negate vector.

Returns
this vector

Definition at line 125 of file JVector3D.hh.

126  {
127  __x = -__x;
128  __y = -__y;
129  __z = -__z;
130 
131  return *this;
132  }

◆ add() [1/2]

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  }

◆ sub() [1/2]

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  }

◆ mul() [1/7]

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

Scale vector.

Parameters
factormultiplication factor
Returns
this vector

Definition at line 173 of file JVector3D.hh.

174  {
175  __x *= factor;
176  __y *= factor;
177  __z *= factor;
178 
179  return *this;
180  }

◆ mul() [2/7]

JVector3D & JMATH::JMath< JVector3D , JSecond_t >::mul ( const JSecond_t &  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  }

◆ div() [1/2]

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

Scale vector.

Parameters
factordivision factor
Returns
this vector

Definition at line 189 of file JVector3D.hh.

190  {
191  __x /= factor;
192  __y /= factor;
193  __z /= factor;
194 
195  return *this;
196  }

◆ 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 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  }

◆ getLengthSquared()

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  }

◆ getLength()

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

Get length.

Returns
length

Definition at line 245 of file JVector3D.hh.

246  {
247  return sqrt(getLengthSquared());
248  }

◆ getDistanceSquared()

double JGEOMETRY3D::JVector3D::getDistanceSquared ( const JVector3D &  pos) const
inlineinherited

Get squared of distance to point.

Parameters
posposition
Returns
square of distance

Definition at line 257 of file JVector3D.hh.

258  {
259  return JVector3D(pos).sub(*this).getLengthSquared();
260  }

◆ getDistance()

double JGEOMETRY3D::JVector3D::getDistance ( const JVector3D &  pos) const
inlineinherited

Get distance to point.

Parameters
posposition
Returns
distance

Definition at line 269 of file JVector3D.hh.

270  {
271  return sqrt(getDistanceSquared(pos));
272  }

◆ cross()

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  }

◆ getRotation()

const JRotation3D& JGEOMETRY3D::JRotation3D::getRotation ( ) const
inlineinherited

Get rotation.

Returns
rotation

Definition at line 272 of file JRotation3D.hh.

273  {
274  return static_cast<const JRotation3D&>(*this);
275  }

◆ operator JQuaternion3D()

JGEOMETRY3D::JRotation3D::operator JQuaternion3D ( ) const
inlineinherited

Type conversion operator.

Returns
quaternion

Definition at line 283 of file JRotation3D.hh.

284  {
285  const double q2 = 0.25 * (1.0 + a00 + a11 + a22);
286 
287  if (q2 > 0.0) {
288 
289  const double a = sqrt(q2);
290  const double w = 0.25 / a;
291  const double b = (a21 - a12) * w;
292  const double c = (a02 - a20) * w;
293  const double d = (a10 - a01) * w;
294 
295  return JQuaternion3D(a,b,c,d);
296  }
297 
298  return JQuaternion3D();
299  }

◆ transpose()

JRotation3D& JGEOMETRY3D::JRotation3D::transpose ( )
inlineinherited

Transpose.

Definition at line 305 of file JRotation3D.hh.

306  {
307  static_cast<JMatrix3D&>(*this).transpose();
308 
309  return *this;
310  }

◆ mul() [3/7]

JRotation3D& JGEOMETRY3D::JRotation3D::mul ( const JRotation3D &  A,
const JRotation3D &  B 
)
inlineinherited

Matrix multiplication.

Parameters
Amatrix
Bmatrix
Returns
this matrix

Definition at line 320 of file JRotation3D.hh.

322  {
323  static_cast<JMatrix3D&>(*this).mul(A, B);
324 
325  return *this;
326  }

◆ mul() [4/7]

JMatrix3D& JMATH::JMatrix3D::mul ( const double  factor)
inlineinherited

Scale matrix.

Parameters
factorfactor
Returns
this matrix * factor

Definition at line 208 of file JMath/JMatrix3D.hh.

209  {
210  a00 *= factor; a01 *= factor; a02 *= factor;
211  a10 *= factor; a11 *= factor; a12 *= factor;
212  a20 *= factor; a21 *= factor; a22 *= factor;
213 
214  return *this;
215  }

◆ mul() [5/7]

JMatrix3D& JMATH::JMatrix3D::mul ( const JMatrix3D &  A,
const JMatrix3D &  B 
)
inlineinherited

Matrix multiplication.

Parameters
Amatrix
Bmatrix
Returns
this matrix

Definition at line 241 of file JMath/JMatrix3D.hh.

243  {
244  a00 = A.a00 * B.a00 + A.a01 * B.a10 + A.a02 * B.a20;
245  a01 = A.a00 * B.a01 + A.a01 * B.a11 + A.a02 * B.a21;
246  a02 = A.a00 * B.a02 + A.a01 * B.a12 + A.a02 * B.a22;
247 
248  a10 = A.a10 * B.a00 + A.a11 * B.a10 + A.a12 * B.a20;
249  a11 = A.a10 * B.a01 + A.a11 * B.a11 + A.a12 * B.a21;
250  a12 = A.a10 * B.a02 + A.a11 * B.a12 + A.a12 * B.a22;
251 
252  a20 = A.a20 * B.a00 + A.a21 * B.a10 + A.a22 * B.a20;
253  a21 = A.a20 * B.a01 + A.a21 * B.a11 + A.a22 * B.a21;
254  a22 = A.a20 * B.a02 + A.a21 * B.a12 + A.a22 * B.a22;
255 
256  return *this;
257  }

◆ mul() [6/7]

JMatrix3D & JMATH::JMath< JMatrix3D , JSecond_t >::mul ( const JSecond_t &  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  }

◆ mul() [7/7]

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 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  }

◆ rotate() [6/6]

void JGEOMETRY3D::JRotation3D::rotate ( double &  __x,
double &  __y,
double &  __z 
) const
inlineinherited

Rotate.

Parameters
__xx value
__yy value
__zz value

Definition at line 336 of file JRotation3D.hh.

337  {
338  const double x = a00 * __x + a01 * __y + a02 * __z;
339  const double y = a10 * __x + a11 * __y + a12 * __z;
340  const double z = a20 * __x + a21 * __y + a22 * __z;
341 
342  __x = x;
343  __y = y;
344  __z = z;
345  }

◆ rotate_back() [6/6]

void JGEOMETRY3D::JRotation3D::rotate_back ( double &  __x,
double &  __y,
double &  __z 
) const
inlineinherited

Rotate back.

Parameters
__xx value
__yy value
__zz value

Definition at line 355 of file JRotation3D.hh.

356  {
357  const double x = a00 * __x + a10 * __y + a20 * __z;
358  const double y = a01 * __x + a11 * __y + a21 * __z;
359  const double z = a02 * __x + a12 * __y + a22 * __z;
360 
361  __x = x;
362  __y = y;
363  __z = z;
364  }

◆ getInstance()

static const JMatrix3D& JMATH::JMatrix3D::getInstance ( )
inlinestaticinherited

Get reference to unique instance of this class object.

Returns
zero matrix

Definition at line 78 of file JMath/JMatrix3D.hh.

79  {
80  static JMatrix3D matrix;
81 
82  return matrix;
83  }

◆ setIdentity()

JMatrix3D& JMATH::JMatrix3D::setIdentity ( )
inlineinherited

Set to identity matrix.

Returns
this matrix

Definition at line 91 of file JMath/JMatrix3D.hh.

92  {
93  a00 = 1.0; a01 = 0.0; a02 = 0.0;
94  a10 = 0.0; a11 = 1.0; a12 = 0.0;
95  a20 = 0.0; a21 = 0.0; a22 = 1.0;
96 
97  return *this;
98  }

◆ getIdentity()

static const JMatrix3D& JMATH::JMatrix3D::getIdentity ( )
inlinestaticinherited

Get reference to unique instance of this class object.

Returns
identity matrix

Definition at line 106 of file JMath/JMatrix3D.hh.

107  {
108  static JMatrix3D matrix(JMatrix3D().setIdentity());
109 
110  return matrix;
111  }

◆ set()

void JMATH::JMatrix3D::set ( const JMatrix3D &  A)
inlineinherited

Set matrix.

Parameters
Amatrix

Definition at line 119 of file JMath/JMatrix3D.hh.

120  {
121  static_cast<JMatrix3D&>(*this) = A;
122  }

◆ reset()

JMatrix3D& JMATH::JMatrix3D::reset ( )
inlineinherited

Set matrix to the null matrix.

Returns
this matrix

Definition at line 130 of file JMath/JMatrix3D.hh.

131  {
132  *this = JMatrix3D();
133 
134  return *this;
135  }

◆ negate() [2/2]

JMatrix3D& JMATH::JMatrix3D::negate ( )
inlineinherited

Negate matrix.

Returns
-this matrix

Definition at line 160 of file JMath/JMatrix3D.hh.

161  {
162  a00 = -a00; a01 = -a01; a02 = -a02;
163  a10 = -a10; a11 = -a11; a12 = -a12;
164  a20 = -a20; a21 = -a21; a22 = -a22;
165 
166  return *this;
167  }

◆ add() [2/2]

JMatrix3D& JMATH::JMatrix3D::add ( const JMatrix3D &  A)
inlineinherited

Matrix addition.

Parameters
Amatrix
Returns
this matrix + A

Definition at line 176 of file JMath/JMatrix3D.hh.

177  {
178  a00 += A.a00; a01 += A.a01; a02 += A.a02;
179  a10 += A.a10; a11 += A.a11; a12 += A.a12;
180  a20 += A.a20; a21 += A.a21; a22 += A.a22;
181 
182  return *this;
183  }

◆ sub() [2/2]

JMatrix3D& JMATH::JMatrix3D::sub ( const JMatrix3D &  A)
inlineinherited

Matrix subtraction.

Parameters
Amatrix
Returns
this matrix - A

Definition at line 192 of file JMath/JMatrix3D.hh.

193  {
194  a00 -= A.a00; a01 -= A.a01; a02 -= A.a02;
195  a10 -= A.a10; a11 -= A.a11; a12 -= A.a12;
196  a20 -= A.a20; a21 -= A.a21; a22 -= A.a22;
197 
198  return *this;
199  }

◆ div() [2/2]

JMatrix3D& JMATH::JMatrix3D::div ( const double  factor)
inlineinherited

Scale matrix.

Parameters
factorfactor
Returns
this matrix / factor

Definition at line 224 of file JMath/JMatrix3D.hh.

225  {
226  a00 /= factor; a01 /= factor; a02 /= factor;
227  a10 /= factor; a11 /= factor; a12 /= factor;
228  a20 /= factor; a21 /= factor; a22 /= factor;
229 
230  return *this;
231  }

◆ equals() [2/2]

bool JMATH::JMatrix3D::equals ( const JMatrix3D &  A,
const double  eps = std::numeric_limits<double>::min() 
) const
inlineinherited

Equality.

Parameters
Amatrix
epsnumerical precision
Returns
true if matrices identical; else false

Definition at line 267 of file JMath/JMatrix3D.hh.

269  {
270  return (fabs(a00 - A.a00) <= eps &&
271  fabs(a01 - A.a01) <= eps &&
272  fabs(a02 - A.a02) <= eps &&
273  fabs(a10 - A.a10) <= eps &&
274  fabs(a11 - A.a11) <= eps &&
275  fabs(a12 - A.a12) <= eps &&
276  fabs(a20 - A.a20) <= eps &&
277  fabs(a21 - A.a21) <= eps &&
278  fabs(a22 - A.a22) <= eps);
279  }

◆ isIdentity()

bool JMATH::JMatrix3D::isIdentity ( const double  eps = std::numeric_limits<double>::min()) const
inlineinherited

Test identity.

Parameters
epsnumerical precision
Returns
true if identity matrix; else false

Definition at line 288 of file JMath/JMatrix3D.hh.

289  {
290  return equals(getIdentity(), eps);
291  }

◆ getDeterminant()

double JMATH::JMatrix3D::getDeterminant ( ) const
inlineinherited

Get determinant of matrix.

Returns
determinant of matrix

Definition at line 299 of file JMath/JMatrix3D.hh.

300  {
301  double det = 0.0;
302 
303  det += a00 * (a11 * a22 - a21 * a12);
304  det -= a01 * (a10 * a22 - a20 * a12);
305  det += a02 * (a10 * a21 - a20 * a11);
306 
307  return det;
308  }

◆ transform() [5/5]

void JMATH::JMatrix3D::transform ( double &  __x,
double &  __y,
double &  __z 
) const
inlineinherited

Transform.

Parameters
__xx value
__yy value
__zz value

Definition at line 318 of file JMath/JMatrix3D.hh.

319  {
320  const double x = a00 * __x + a01 * __y + a02 * __z;
321  const double y = a10 * __x + a11 * __y + a12 * __z;
322  const double z = a20 * __x + a21 * __y + a22 * __z;
323 
324  __x = x;
325  __y = y;
326  __z = z;
327  }

Member Data Documentation

◆ __x

double JGEOMETRY3D::JVector3D::__x
protectedinherited

Definition at line 309 of file JVector3D.hh.

◆ __y

double JGEOMETRY3D::JVector3D::__y
protectedinherited

Definition at line 310 of file JVector3D.hh.

◆ __z

double JGEOMETRY3D::JVector3D::__z
protectedinherited

Definition at line 311 of file JVector3D.hh.

◆ a00

double JMATH::JMatrix3D::a00
inherited

Definition at line 385 of file JMath/JMatrix3D.hh.

◆ a01

double JMATH::JMatrix3D::a01
inherited

Definition at line 385 of file JMath/JMatrix3D.hh.

◆ a02

double JMATH::JMatrix3D::a02
inherited

Definition at line 385 of file JMath/JMatrix3D.hh.

◆ a10

double JMATH::JMatrix3D::a10
inherited

Definition at line 386 of file JMath/JMatrix3D.hh.

◆ a11

double JMATH::JMatrix3D::a11
inherited

Definition at line 386 of file JMath/JMatrix3D.hh.

◆ a12

double JMATH::JMatrix3D::a12
inherited

Definition at line 386 of file JMath/JMatrix3D.hh.

◆ a20

double JMATH::JMatrix3D::a20
inherited

Definition at line 387 of file JMath/JMatrix3D.hh.

◆ a21

double JMATH::JMatrix3D::a21
inherited

Definition at line 387 of file JMath/JMatrix3D.hh.

◆ a22

double JMATH::JMatrix3D::a22
inherited

Definition at line 387 of file JMath/JMatrix3D.hh.

The documentation for this struct was generated from the following file:
JGEOMETRY3D::JVersor3D::getDZ
double getDZ() const
Get z direction.
Definition: JVersor3D.hh:114
JMATH::JMatrix3D::a01
double a01
Definition: JMath/JMatrix3D.hh:385
JGEOMETRY2D::JRotation2D::rotate_back
void rotate_back(double &__x, double &__y) const
Rotate back.
Definition: JRotation2D.hh:112
JMATH::JMatrix3D::a21
double a21
Definition: JMath/JMatrix3D.hh:387
JTOOLS::w
data_type w[N+1][M+1]
Definition: JPolint.hh:708
JGEOMETRY3D::JVector3D::JVector3D
JVector3D()
Default constructor.
Definition: JVector3D.hh:40
JGEOMETRY3D::JRotation3D::rotate
void rotate(double &__x, double &__y, double &__z) const
Rotate.
Definition: JRotation3D.hh:336
JMATH::JMatrix3D::a20
double a20
Definition: JMath/JMatrix3D.hh:387
JGEOMETRY3D::JVector3D::__y
double __y
Definition: JVector3D.hh:310
JGEOMETRY3D::JRotation3D::rotate_back
void rotate_back(double &__x, double &__y, double &__z) const
Rotate back.
Definition: JRotation3D.hh:355
JGEOMETRY3D::JVector3D::getLengthSquared
double getLengthSquared() const
Get length squared.
Definition: JVector3D.hh:234
JGEOMETRY3D::JQuaternion3D::rotate_back
void rotate_back(double &__x, double &__y, double &__z) const
Rotate back.
Definition: JQuaternion3D.hh:668
JGEOMETRY3D::JVector3D::getZ
double getZ() const
Get z position.
Definition: JVector3D.hh:114
JMATH::JMatrix3D::getIdentity
static const JMatrix3D & getIdentity()
Get reference to unique instance of this class object.
Definition: JMath/JMatrix3D.hh:106
JMATH::JMatrix3D
3 x 3 matrix
Definition: JMath/JMatrix3D.hh:32
JGEOMETRY3D::JPosition3D::JPosition3D
JPosition3D()
Default constructor.
Definition: JPosition3D.hh:47
JGEOMETRY3D::JVersor3D
Data structure for normalised vector in three dimensions.
Definition: JVersor3D.hh:23
JGEOMETRY3D::JPosition3D::rotate
JPosition3D & rotate(const JRotation3D &R)
Rotate.
Definition: JPosition3D.hh:185
JGEOMETRY2D::JRotation2D::rotate
void rotate(double &__x, double &__y) const
Rotate.
Definition: JRotation2D.hh:96
JGEOMETRY3D::JPosition3D
Data structure for position in three dimensions.
Definition: JPosition3D.hh:35
JMATH::JMatrix3D::a00
double a00
Definition: JMath/JMatrix3D.hh:385
JGEOMETRY3D::JPosition3D::rotate_back
JPosition3D & rotate_back(const JRotation3D &R)
Rotate back.
Definition: JPosition3D.hh:199
JGEOMETRY3D::JAngle3D::getDX
double getDX() const
Get x direction.
Definition: JAngle3D.hh:106
JGEOMETRY3D::JVersor3D::getDX
double getDX() const
Get x direction.
Definition: JVersor3D.hh:92
JMATH::JMatrix3D::a12
double a12
Definition: JMath/JMatrix3D.hh:386
JGEOMETRY3D::JQuaternion3D
Data structure for quaternion in three dimensions.
Definition: JQuaternion3D.hh:240
JMATH::JMatrix3D::JMatrix3D
JMatrix3D()
Default constructor.
Definition: JMath/JMatrix3D.hh:44
JGEOMETRY3D::JVersor3D::getDY
double getDY() const
Get y direction.
Definition: JVersor3D.hh:103
JMATH::JMatrix3D::equals
bool equals(const JMatrix3D &A, const double eps=std::numeric_limits< double >::min()) const
Equality.
Definition: JMath/JMatrix3D.hh:267
JGEOMETRY3D::JAngle3D
Data structure for angles in three dimensions.
Definition: JAngle3D.hh:31
JGEOMETRY3D::JAngle3D::getDZ
double getDZ() const
Get z direction.
Definition: JAngle3D.hh:128
JGEOMETRY3D::JVector3D::getDistanceSquared
double getDistanceSquared(const JVector3D &pos) const
Get squared of distance to point.
Definition: JVector3D.hh:257
JGEOMETRY3D::JPosition3D::getPosition
const JPosition3D & getPosition() const
Get position.
Definition: JPosition3D.hh:129
JMATH::JMatrix3D::a22
double a22
Definition: JMath/JMatrix3D.hh:387
JGEOMETRY3D::JVector3D::getY
double getY() const
Get y position.
Definition: JVector3D.hh:103
JGEOMETRY3D::JRotation3D::JRotation3D
JRotation3D()
Default constructor (= identity matrix).
Definition: JRotation3D.hh:122
JGEOMETRY3D::JAngle3D::getDY
double getDY() const
Get y direction.
Definition: JAngle3D.hh:117
JGEOMETRY3D::JVersor3Z::getDY
double getDY() const
Get y direction.
Definition: JVersor3Z.hh:156
JGEOMETRY3D::JVector3D::__z
double __z
Definition: JVector3D.hh:311
JMATH::JMatrix3D::a11
double a11
Definition: JMath/JMatrix3D.hh:386
JMATH::JCalculator
Auxiliary class for arithmetic operations on objects.
Definition: JCalculator.hh:18
JMATH::JMatrix3D::a02
double a02
Definition: JMath/JMatrix3D.hh:385
JGEOMETRY3D::JVector3D::__x
double __x
Definition: JVector3D.hh:309
JGEOMETRY3D::JVector3D::add
JVector3D & add(const JVector3D &vector)
Add vector.
Definition: JVector3D.hh:141
JGEOMETRY3D::JVector3D::getX
double getX() const
Get x position.
Definition: JVector3D.hh:93
JMATH::JMatrix3D::a10
double a10
Definition: JMath/JMatrix3D.hh:386
JGEOMETRY3D::JVersor3Z::getDZ
double getDZ() const
Get z direction.
Definition: JVersor3Z.hh:167
JGEOMETRY3D::JVector3D::sub
JVector3D & sub(const JVector3D &vector)
Subtract vector.
Definition: JVector3D.hh:157
JGEOMETRY3D::JRotation3D::getRotation
const JRotation3D & getRotation() const
Get rotation.
Definition: JRotation3D.hh:272
JMATH::JMatrix3D::setIdentity
JMatrix3D & setIdentity()
Set to identity matrix.
Definition: JMath/JMatrix3D.hh:91
JGEOMETRY3D::JQuaternion3D::rotate
void rotate(double &__x, double &__y, double &__z) const
Rotate.
Definition: JQuaternion3D.hh:645
JGEOMETRY3D::JVersor3Z::getDX
double getDX() const
Get x direction.
Definition: JVersor3Z.hh:145
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