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JGEOMETRY2D::JDirection2D Class Reference

Data structure for direction in two dimensions. More...

#include <JDirection2D.hh>

Inheritance diagram for JGEOMETRY2D::JDirection2D:
JGEOMETRY2D::JVersor2D JGEOMETRY2D::JAxis2D

Public Member Functions

 JDirection2D ()
 Default constructor. More...
 
 JDirection2D (const JVersor2D &dir)
 Constructor. More...
 
 JDirection2D (const JAngle2D &angle)
 Constructor. More...
 
 JDirection2D (const JVector2D &pos)
 Constructor. More...
 
 JDirection2D (const double dx, const double dy)
 Constructor. More...
 
const JDirection2D & getDirection () const
 Get direction. More...
 
JDirection2D & getDirection ()
 Get direction. More...
 
void setDirection (const JDirection2D &dir)
 Set direction. More...
 
 operator JAngle2D () const
 Type conversion operator. More...
 
 operator JVector2D () const
 Type conversion operator. More...
 
JDirection2D & transform (const JMatrix2D &T)
 Transform. More...
 
JDirection2D & rotate (const JRotation2D &R)
 Rotate. More...
 
JDirection2D & rotate_back (const JRotation2D &R)
 Rotate back. More...
 
double getDot (const JAngle2D &angle) const
 Get dot product. More...
 
double getDot (const JVector2D &pos) const
 Get dot product. More...
 
double getPerpDot (const JAngle2D &angle) const
 Get perpendicular dot product. More...
 
double getPerpDot (const JVector2D &pos) const
 Get perpendicular dot product. More...
 
double getDot (const JVersor2D &versor) const
 Get dot product. More...
 
double getPerpDot (const JVersor2D &versor) const
 Get perpendicular dot product. More...
 
double getDX () const
 Get x direction. More...
 
double getDY () const
 Get y direction. More...
 
double getPhi () const
 Get phi angle. More...
 
JVersor2D & negate ()
 Negate versor. More...
 
bool equals (const JVersor2D &versor, const double precision=std::numeric_limits< double >::min()) const
 Check equality. More...
 
double getDot (const JVersor2D &versor) const
 Get dot product. More...
 
double getPerpDot (const JVersor2D &versor) const
 Get perpendicular dot product. More...
 
JVersor2D & normalise ()
 Normalise versor. More...
 

Protected Attributes

double __dx
 
double __dy
 

Friends

std::istream & operator>> (std::istream &in, JDirection2D &direction)
 Read direction from input. More...
 
std::ostream & operator<< (std::ostream &out, const JDirection2D &direction)
 Write direction to output. More...
 
JReader & operator>> (JReader &in, JDirection2D &direction)
 Read direction from input. More...
 
JWriter & operator<< (JWriter &out, const JDirection2D &direction)
 Write direction to output. More...
 

Detailed Description

Data structure for direction in two dimensions.

Definition at line 31 of file JDirection2D.hh.

Constructor & Destructor Documentation

◆ JDirection2D() [1/5]

JGEOMETRY2D::JDirection2D::JDirection2D ( )
inline

Default constructor.

Definition at line 43 of file JDirection2D.hh.

43  :
44  JVersor2D()
45  {}
JGEOMETRY2D::JVersor2D::JVersor2D
JVersor2D()
Default constructor.
Definition: JVersor2D.hh:27

◆ JDirection2D() [2/5]

JGEOMETRY2D::JDirection2D::JDirection2D ( const JVersor2D &  dir)
inline

Constructor.

Parameters
dirdirection

Definition at line 53 of file JDirection2D.hh.

53  :
54  JVersor2D(dir.getDY(), dir.getDX())
55  {}
JGEOMETRY2D::JVersor2D::getDX
double getDX() const
Get x direction.
Definition: JVersor2D.hh:53
JGEOMETRY2D::JVersor2D::getDY
double getDY() const
Get y direction.
Definition: JVersor2D.hh:64

◆ JDirection2D() [3/5]

JGEOMETRY2D::JDirection2D::JDirection2D ( const JAngle2D &  angle)
inline

Constructor.

Parameters
angleangle

Definition at line 63 of file JDirection2D.hh.

63  :
64  JVersor2D(angle.getDX(), angle.getDY())
65  {}
JGEOMETRY2D::JAngle2D::getDY
double getDY() const
Get y direction.
Definition: JAngle2D.hh:94
JGEOMETRY2D::JAngle2D::getDX
double getDX() const
Get x direction.
Definition: JAngle2D.hh:83

◆ JDirection2D() [4/5]

JGEOMETRY2D::JDirection2D::JDirection2D ( const JVector2D &  pos)
inline

Constructor.

Parameters
posposition

Definition at line 73 of file JDirection2D.hh.

73  :
74  JVersor2D(pos.getY(),pos.getX())
75  {}
JGEOMETRY2D::JVector2D::getY
double getY() const
Get y position.
Definition: JVector2D.hh:74
JGEOMETRY2D::JVector2D::getX
double getX() const
Get x position.
Definition: JVector2D.hh:63

◆ JDirection2D() [5/5]

JGEOMETRY2D::JDirection2D::JDirection2D ( const double  dx,
const double  dy 
)
inline

Constructor.

Parameters
dxdx value
dydy value

Definition at line 84 of file JDirection2D.hh.

85  :
86  JVersor2D(dx, dy)
87  {}

Member Function Documentation

◆ getDirection() [1/2]

const JDirection2D& JGEOMETRY2D::JDirection2D::getDirection ( ) const
inline

Get direction.

Returns
direction

Definition at line 95 of file JDirection2D.hh.

96  {
97  return static_cast<const JDirection2D&>(*this);
98  }
JGEOMETRY2D::JDirection2D
Data structure for direction in two dimensions.
Definition: JDirection2D.hh:33

◆ getDirection() [2/2]

JDirection2D& JGEOMETRY2D::JDirection2D::getDirection ( )
inline

Get direction.

Returns
direction

Definition at line 106 of file JDirection2D.hh.

107  {
108  return static_cast<JDirection2D&>(*this);
109  }

◆ setDirection()

void JGEOMETRY2D::JDirection2D::setDirection ( const JDirection2D &  dir)
inline

Set direction.

Parameters
dirdirection

Definition at line 117 of file JDirection2D.hh.

118  {
119  static_cast<JDirection2D&>(*this) = dir;
120  }

◆ operator JAngle2D()

JGEOMETRY2D::JDirection2D::operator JAngle2D ( ) const
inline

Type conversion operator.

Returns
angle

Definition at line 128 of file JDirection2D.hh.

129  {
130  return JAngle2D(getDX(), getDY());
131  }
JGEOMETRY2D::JAngle2D
Data structure for angle in two dimensions.
Definition: JAngle2D.hh:35

◆ operator JVector2D()

JGEOMETRY2D::JDirection2D::operator JVector2D ( ) const
inline

Type conversion operator.

Returns
position

Definition at line 139 of file JDirection2D.hh.

140  {
141  return JVector2D(getDX(), getDY());
142  }
JGEOMETRY2D::JVector2D
Data structure for vector in two dimensions.
Definition: JVector2D.hh:34

◆ transform()

JDirection2D& JGEOMETRY2D::JDirection2D::transform ( const JMatrix2D &  T)
inline

Transform.

Parameters
Tmatrix
Returns
this direction

Definition at line 151 of file JDirection2D.hh.

152  {
153  T.transform(__dx, __dy);
154 
155  normalise();
156 
157  return *this;
158  }
JGEOMETRY2D::JVersor2D::normalise
JVersor2D & normalise()
Normalise versor.
Definition: JVersor2D.hh:144

◆ rotate()

JDirection2D& JGEOMETRY2D::JDirection2D::rotate ( const JRotation2D &  R)
inline

Rotate.

Parameters
Rrotation matrix
Returns
this direction

Definition at line 167 of file JDirection2D.hh.

168  {
169  R.rotate(__dx, __dy);
170 
171  normalise();
172 
173  return *this;
174  }
JGEOMETRY2D::JRotation2D::rotate
void rotate(double &__x, double &__y) const
Rotate.
Definition: JRotation2D.hh:96

◆ rotate_back()

JDirection2D& JGEOMETRY2D::JDirection2D::rotate_back ( const JRotation2D &  R)
inline

Rotate back.

Parameters
Rrotation matrix
Returns
this direction

Definition at line 183 of file JDirection2D.hh.

184  {
185  R.rotate_back(__dx, __dy);
186 
187  normalise();
188 
189  return *this;
190  }
JGEOMETRY2D::JRotation2D::rotate_back
void rotate_back(double &__x, double &__y) const
Rotate back.
Definition: JRotation2D.hh:112

◆ getDot() [1/4]

double JGEOMETRY2D::JDirection2D::getDot ( const JAngle2D &  angle) const
inline

Get dot product.

Parameters
angleangle
Returns
dot product

Definition at line 199 of file JDirection2D.hh.

200  {
201  return
202  getDX() * angle.getDX() +
203  getDY() * angle.getDY();
204  }

◆ getDot() [2/4]

double JGEOMETRY2D::JDirection2D::getDot ( const JVector2D &  pos) const
inline

Get dot product.

Parameters
posposition
Returns
dot product

Definition at line 213 of file JDirection2D.hh.

214  {
215  return
216  getDX() * pos.getX() +
217  getDY() * pos.getY();
218  }

◆ getPerpDot() [1/4]

double JGEOMETRY2D::JDirection2D::getPerpDot ( const JAngle2D &  angle) const
inline

Get perpendicular dot product.

Parameters
angleangle
Returns
perpendicular dot product

Definition at line 227 of file JDirection2D.hh.

228  {
229  return
230  getDX() * angle.getDY() -
231  getDY() * angle.getDX();
232  }

◆ getPerpDot() [2/4]

double JGEOMETRY2D::JDirection2D::getPerpDot ( const JVector2D &  pos) const
inline

Get perpendicular dot product.

Parameters
posposition
Returns
perpendicular dot product

Definition at line 241 of file JDirection2D.hh.

242  {
243  return
244  getDX() * pos.getY() -
245  getDY() * pos.getX();
246  }

◆ getDot() [3/4]

double JGEOMETRY2D::JVersor2D::getDot
inline

Get dot product.

Parameters
versorversor
Returns
dot product

Definition at line 116 of file JVersor2D.hh.

117  {
118  return
119  getDX() * versor.getDX() +
120  getDY() * versor.getDY();
121  }

◆ getPerpDot() [3/4]

double JGEOMETRY2D::JVersor2D::getPerpDot
inline

Get perpendicular dot product.

Parameters
versorversor
Returns
perpendicular dot product

Definition at line 130 of file JVersor2D.hh.

131  {
132  return
133  getDX() * versor.getDY() -
134  getDY() * versor.getDX();
135  }

◆ getDX()

double JGEOMETRY2D::JVersor2D::getDX ( ) const
inlineinherited

Get x direction.

Returns
x direction

Definition at line 53 of file JVersor2D.hh.

54  {
55  return __dx;
56  }

◆ getDY()

double JGEOMETRY2D::JVersor2D::getDY ( ) const
inlineinherited

Get y direction.

Returns
y direction

Definition at line 64 of file JVersor2D.hh.

65  {
66  return __dy;
67  }

◆ getPhi()

double JGEOMETRY2D::JVersor2D::getPhi ( ) const
inlineinherited

Get phi angle.

Returns
phi angle [rad]

Definition at line 75 of file JVersor2D.hh.

76  {
77  return atan2(__dy, __dx);
78  }

◆ negate()

JVersor2D& JGEOMETRY2D::JVersor2D::negate ( )
inlineinherited

Negate versor.

Returns
this versor

Definition at line 86 of file JVersor2D.hh.

87  {
88  __dx = -__dx;
89  __dy = -__dy;
90 
91  return *this;
92  }

◆ equals()

bool JGEOMETRY2D::JVersor2D::equals ( const JVersor2D &  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 102 of file JVersor2D.hh.

104  {
105  return (fabs(getDX() - versor.getDX()) <= precision &&
106  fabs(getDY() - versor.getDY()) <= precision);
107  }

◆ getDot() [4/4]

double JGEOMETRY2D::JVersor2D::getDot ( const JVersor2D &  versor) const
inlineinherited

Get dot product.

Parameters
versorversor
Returns
dot product

Definition at line 116 of file JVersor2D.hh.

117  {
118  return
119  getDX() * versor.getDX() +
120  getDY() * versor.getDY();
121  }

◆ getPerpDot() [4/4]

double JGEOMETRY2D::JVersor2D::getPerpDot ( const JVersor2D &  versor) const
inlineinherited

Get perpendicular dot product.

Parameters
versorversor
Returns
perpendicular dot product

Definition at line 130 of file JVersor2D.hh.

131  {
132  return
133  getDX() * versor.getDY() -
134  getDY() * versor.getDX();
135  }

◆ normalise()

JVersor2D& JGEOMETRY2D::JVersor2D::normalise ( )
inlineinherited

Normalise versor.

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

Returns
this versor

Definition at line 144 of file JVersor2D.hh.

145  {
146  const double v = sqrt(getDX()*getDX() + getDY()*getDY());
147 
148  if (v != 0.0) {
149  __dx /= v;
150  __dy /= v;
151  } else {
152  __dx = 0.0;
153  __dy = 1.0;
154  }
155 
156  return *this;
157  }
JTOOLS::v
data_type v[N+1][M+1]
Definition: JPolint.hh:866

Friends And Related Function Documentation

◆ operator>> [1/2]

std::istream& operator>> ( std::istream &  in,
JDirection2D &  direction 
)
friend

Read direction from input.

Parameters
ininput stream
directiondirection
Returns
input stream

Definition at line 256 of file JDirection2D.hh.

257  {
258  in >> direction.__dx >> direction.__dy;
259 
260  direction.normalise();
261 
262  return in;
263  }

◆ operator<< [1/2]

std::ostream& operator<< ( std::ostream &  out,
const JDirection2D &  direction 
)
friend

Write direction to output.

Parameters
outoutput stream
directiondirection
Returns
output stream

Definition at line 273 of file JDirection2D.hh.

274  {
275  const JFormat format(out, getFormat<JDirection2D>(JFormat_t(9, 6, std::ios::fixed | std::ios::showpos)));
276 
277  out << format << direction.getDX() << ' '
278  << format << direction.getDY();
279 
280  return out;
281  }
JFormat_t
Data structure for format specifications.
Definition: JManip.hh:524
JFormat
Auxiliary class to temporarily define format specifications.
Definition: JManip.hh:636

◆ operator>> [2/2]

JReader& operator>> ( JReader &  in,
JDirection2D &  direction 
)
friend

Read direction from input.

Parameters
inreader
directiondirection
Returns
reader

Definition at line 291 of file JDirection2D.hh.

292  {
293  in >> direction.__dx;
294  in >> direction.__dy;
295 
296  return in;
297  }

◆ operator<< [2/2]

JWriter& operator<< ( JWriter &  out,
const JDirection2D &  direction 
)
friend

Write direction to output.

Parameters
outwriter
directiondirection
Returns
writer

Definition at line 307 of file JDirection2D.hh.

308  {
309  out << direction.__dx;
310  out << direction.__dy;
311 
312  return out;
313  }

Member Data Documentation

◆ __dx

double JGEOMETRY2D::JVersor2D::__dx
protectedinherited

Definition at line 160 of file JVersor2D.hh.

◆ __dy

double JGEOMETRY2D::JVersor2D::__dy
protectedinherited

Definition at line 161 of file JVersor2D.hh.

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