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JGEOMETRY2D::JAxis2D Class Reference

Axis object. More...

#include <JAxis2D.hh>

Inheritance diagram for JGEOMETRY2D::JAxis2D:
JGEOMETRY2D::JPosition2D JGEOMETRY2D::JDirection2D JGEOMETRY2D::JVector2D JGEOMETRY2D::JVersor2D JMATH::JMath< JFirst_t, JSecond_t >

Public Member Functions

 JAxis2D ()
 Default constructor. More...
 
 JAxis2D (const JVector2D &pos)
 Constructor. More...
 
 JAxis2D (const JVector2D &pos, const JVersor2D &dir)
 Constructor. More...
 
 JAxis2D (const JSegment2D &segment)
 Constructor. More...
 
const JAxis2D & getAxis () const
 Get axis. More...
 
void setAxis (const JAxis2D &axis)
 Set axis. More...
 
JAxis2D & negate ()
 Negate axis. More...
 
void move (const double step)
 Move vertex along this axis. More...
 
bool intersects (const JSegment2D &segment) const
 Test whether this axis and given line segment intersect. More...
 
double getIntersection (const JAxis2D &axis, const double precision=1.0e-8) const
 Get intersection of two axes. More...
 
double getDistanceSquared (const JVector2D &point) const
 Get squared of distance to point. More...
 
double getDistance (const JVector2D &point) const
 Get distance to point. More...
 
JAxis2D & rotate (const JRotation2D &R)
 Rotate axis. More...
 
JAxis2D & rotate_back (const JRotation2D &R)
 Rotate back axis. More...
 
const JPosition2D & getPosition () const
 Get position. More...
 
JPosition2D & getPosition ()
 Get position. More...
 
void setPosition (const JVector2D &pos)
 Set position. More...
 
 operator JAngle2D () const
 Type conversion operator. More...
 
 operator JVersor2D () const
 Type conversion operator. More...
 
double getDot (const JAngle2D &angle) const
 Get dot product. More...
 
double getDot (const JVersor2D &versor) const
 Get dot product. More...
 
double getDot (const JVector2D &point) const
 Get dot product. More...
 
double getDot (const JVector2D &point) const
 Get dot product. More...
 
double getPerpDot (const JAngle2D &angle) const
 Get perpendicular dot product. More...
 
double getPerpDot (const JVersor2D &dir) const
 Get perpendicular dot product. More...
 
double getPerpDot (const JVector2D &point) const
 Get perpendicular dot product. More...
 
double getPerpDot (const JVector2D &point) const
 Get perpendicular dot product. More...
 
JVector2D & transform (const JMatrix2D &T)
 Transform. More...
 
JVector2D & transform (const JMatrix2D &T)
 Transform. More...
 
double getX () const
 Get x position. More...
 
double getY () const
 Get y position. More...
 
JVector2D & add (const JVector2D &vector)
 Add vector. More...
 
JVector2D & sub (const JVector2D &vector)
 Subtract vector. More...
 
JVector2D & mul (const double factor)
 Scale vector. More...
 
JFirst_t & mul (const JSecond_t &object)
 Multiply with object. More...
 
JVector2D & div (const double factor)
 Scale vector. More...
 
bool equals (const JVector2D &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...
 
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...
 
double getDot (const JAngle2D &angle) const
 Get dot product. More...
 
double getDot (const JVector2D &pos) const
 Get dot product. More...
 
double getDot (const JVersor2D &versor) const
 Get dot product. More...
 
double getDot (const JVersor2D &versor) 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 getPerpDot (const JVersor2D &versor) const
 Get perpendicular 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...
 
bool equals (const JVersor2D &versor, const double precision=std::numeric_limits< double >::min()) const
 Check equality. More...
 
JVersor2D & normalise ()
 Normalise versor. More...
 

Protected Attributes

double __x
 
double __y
 
double __dx
 
double __dy
 

Friends

std::istream & operator>> (std::istream &in, JAxis2D &axis)
 Read axis from input. More...
 
std::ostream & operator<< (std::ostream &out, const JAxis2D &axis)
 Write axis to output. More...
 
JReader & operator>> (JReader &in, JAxis2D &axis)
 Read axis from input. More...
 
JWriter & operator<< (JWriter &out, const JAxis2D &axis)
 Write axis to output. More...
 

Detailed Description

Axis object.

An axis object consists of a position and a direction.

Definition at line 32 of file JAxis2D.hh.

Constructor & Destructor Documentation

◆ JAxis2D() [1/4]

JGEOMETRY2D::JAxis2D::JAxis2D ( )
inline

Default constructor.

Definition at line 40 of file JAxis2D.hh.

40  :
41  JPosition2D (),
42  JDirection2D()
43  {}
JGEOMETRY2D::JDirection2D::JDirection2D
JDirection2D()
Default constructor.
Definition: JDirection2D.hh:43
JGEOMETRY2D::JPosition2D::JPosition2D
JPosition2D()
Default constructor.
Definition: JPosition2D.hh:44

◆ JAxis2D() [2/4]

JGEOMETRY2D::JAxis2D::JAxis2D ( const JVector2D &  pos)
inline

Constructor.

Parameters
posposition

Definition at line 51 of file JAxis2D.hh.

51  :
52  JPosition2D (pos),
53  JDirection2D()
54  {}

◆ JAxis2D() [3/4]

JGEOMETRY2D::JAxis2D::JAxis2D ( const JVector2D &  pos,
const JVersor2D &  dir 
)
inline

Constructor.

Parameters
posposition
dirdirection

Definition at line 63 of file JAxis2D.hh.

64  :
65  JPosition2D (pos),
66  JDirection2D(dir)
67  {}

◆ JAxis2D() [4/4]

JGEOMETRY2D::JAxis2D::JAxis2D ( const JSegment2D &  segment)
inline

Constructor.

Parameters
segmentline segment

Definition at line 75 of file JAxis2D.hh.

75  :
76  JPosition2D (segment.first),
77  JDirection2D(segment.second - segment.first)
78  {}

Member Function Documentation

◆ getAxis()

const JAxis2D& JGEOMETRY2D::JAxis2D::getAxis ( ) const
inline

Get axis.

Returns
axis

Definition at line 86 of file JAxis2D.hh.

87  {
88  return *this;
89  }

◆ setAxis()

void JGEOMETRY2D::JAxis2D::setAxis ( const JAxis2D &  axis)
inline

Set axis.

Parameters
axisaxis

Definition at line 97 of file JAxis2D.hh.

98  {
99  *this = axis;
100  }

◆ negate()

JAxis2D& JGEOMETRY2D::JAxis2D::negate ( )
inline

Negate axis.

Returns
this axis

Definition at line 108 of file JAxis2D.hh.

109  {
110  static_cast<JPosition2D&> (*this).negate();
111  static_cast<JDirection2D&>(*this).negate();
112 
113  return *this;
114  }
JGEOMETRY2D::JDirection2D
Data structure for direction in two dimensions.
Definition: JDirection2D.hh:33
JGEOMETRY2D::JPosition2D
Data structure for position in two dimensions.
Definition: JPosition2D.hh:33
JGEOMETRY2D::JVector2D::negate
JVector2D & negate()
Negate vector.
Definition: JVector2D.hh:85
JGEOMETRY2D::JVersor2D::negate
JVersor2D & negate()
Negate versor.
Definition: JVersor2D.hh:86

◆ move()

void JGEOMETRY2D::JAxis2D::move ( const double  step)
inline

Move vertex along this axis.

Parameters
stepstep

Definition at line 122 of file JAxis2D.hh.

123  {
124  getPosition() += step * JVector2D(getDirection());
125  }
JGEOMETRY2D::JDirection2D::getDirection
const JDirection2D & getDirection() const
Get direction.
Definition: JDirection2D.hh:95
JGEOMETRY2D::JPosition2D::getPosition
const JPosition2D & getPosition() const
Get position.
Definition: JPosition2D.hh:98
JGEOMETRY2D::JVector2D::JVector2D
JVector2D()
Default constructor.
Definition: JVector2D.hh:39

◆ intersects()

bool JGEOMETRY2D::JAxis2D::intersects ( const JSegment2D &  segment) const
inline

Test whether this axis and given line segment intersect.

Parameters
segmentline segment
Returns
true if axis and line segment intersect; else false

Definition at line 134 of file JAxis2D.hh.

135  {
136  if (getCCW(segment.first, this->getPosition(), segment.second))
137  return (this->getDirection().getPerpDot(segment.first - this->getPosition()) > 0.0 &&
138  this->getDirection().getPerpDot(segment.second - this->getPosition()) < 0.0);
139  else
140  return (this->getDirection().getPerpDot(segment.first - this->getPosition()) < 0.0 &&
141  this->getDirection().getPerpDot(segment.second - this->getPosition()) > 0.0);
142  }
JGEOMETRY2D::JDirection2D::getPerpDot
double getPerpDot(const JVersor2D &versor) const
Get perpendicular dot product.
Definition: JVersor2D.hh:130
JGEOMETRY2D::getCCW
bool getCCW(const T &a, const T &b, const T &c)
Check sequence of three points in X-Y plane.
Definition: JGeometry2DToolkit.hh:36

◆ getIntersection()

double JGEOMETRY2D::JAxis2D::getIntersection ( const JAxis2D &  axis,
const double  precision = 1.0e-8 
) const
inline

Get intersection of two axes.

Parameters
axisaxis
precisionprecision
Returns
longitudinal position

Definition at line 152 of file JAxis2D.hh.

153  {
154  const double gp = this->getDirection().getPerpDot(axis.getDirection());
155 
156  if (fabs(gp) > precision)
157  return axis.getDirection().getPerpDot(this->getPosition() - axis.getPosition()) / gp;
158  else
159  return this->getDistance(axis.getPosition());
160  }
JGEOMETRY2D::JAxis2D::getDistance
double getDistance(const JVector2D &point) const
Get distance to point.
Definition: JAxis2D.hh:190
JGEOMETRY2D::JDirection2D::getPerpDot
double getPerpDot(const JAngle2D &angle) const
Get perpendicular dot product.
Definition: JDirection2D.hh:227

◆ getDistanceSquared()

double JGEOMETRY2D::JAxis2D::getDistanceSquared ( const JVector2D &  point) const
inline

Get squared of distance to point.

Parameters
pointpoint
Returns
square of distance

Definition at line 169 of file JAxis2D.hh.

170  {
171  JVector2D D(this->getDirection());
172 
173  const JVector2D U(point - this->getPosition());
174 
175  const double u = D.getDot(U);
176 
177  D.mul(u);
178  D.sub(U);
179 
180  return D.getLengthSquared();
181  }
JGEOMETRY2D::JVector2D
Data structure for vector in two dimensions.
Definition: JVector2D.hh:34
JTOOLS::u
double u[N+1]
Definition: JPolint.hh:865

◆ getDistance()

double JGEOMETRY2D::JAxis2D::getDistance ( const JVector2D &  point) const
inline

Get distance to point.

Parameters
pointpoint
Returns
distance

Definition at line 190 of file JAxis2D.hh.

191  {
192  return sqrt(getDistanceSquared(point));
193  }
JGEOMETRY2D::JAxis2D::getDistanceSquared
double getDistanceSquared(const JVector2D &point) const
Get squared of distance to point.
Definition: JAxis2D.hh:169

◆ rotate()

JAxis2D& JGEOMETRY2D::JAxis2D::rotate ( const JRotation2D &  R)
inline

Rotate axis.

Parameters
Rrotation matrix
Returns
this axis

Definition at line 202 of file JAxis2D.hh.

203  {
204  static_cast<JPosition2D&> (*this).rotate(R);
205  static_cast<JDirection2D&>(*this).rotate(R);
206 
207  return *this;
208  }
JGEOMETRY2D::JDirection2D::rotate
JDirection2D & rotate(const JRotation2D &R)
Rotate.
Definition: JDirection2D.hh:167
JGEOMETRY2D::JPosition2D::rotate
JPosition2D & rotate(const JRotation2D &R)
Rotate.
Definition: JPosition2D.hh:154

◆ rotate_back()

JAxis2D& JGEOMETRY2D::JAxis2D::rotate_back ( const JRotation2D &  R)
inline

Rotate back axis.

Parameters
Rrotation matrix
Returns
this axis

Definition at line 217 of file JAxis2D.hh.

218  {
219  static_cast<JPosition2D&> (*this).rotate_back(R);
220  static_cast<JDirection2D&>(*this).rotate_back(R);
221 
222  return *this;
223  }
JGEOMETRY2D::JDirection2D::rotate_back
JDirection2D & rotate_back(const JRotation2D &R)
Rotate back.
Definition: JDirection2D.hh:183
JGEOMETRY2D::JPosition2D::rotate_back
JPosition2D & rotate_back(const JRotation2D &R)
Rotate back.
Definition: JPosition2D.hh:168

◆ getPosition() [1/2]

const JPosition2D& JGEOMETRY2D::JPosition2D::getPosition ( ) const
inlineinherited

Get position.

Returns
position

Definition at line 98 of file JPosition2D.hh.

99  {
100  return static_cast<const JPosition2D&>(*this);
101  }

◆ getPosition() [2/2]

JPosition2D& JGEOMETRY2D::JPosition2D::getPosition ( )
inlineinherited

Get position.

Returns
position

Definition at line 109 of file JPosition2D.hh.

110  {
111  return static_cast<JPosition2D&>(*this);
112  }

◆ setPosition()

void JGEOMETRY2D::JPosition2D::setPosition ( const JVector2D &  pos)
inlineinherited

Set position.

Parameters
posposition

Definition at line 120 of file JPosition2D.hh.

121  {
122  static_cast<JVector2D&>(*this) = pos;
123  }

◆ operator JAngle2D() [1/2]

JGEOMETRY2D::JPosition2D::operator JAngle2D ( ) const
inlineinherited

Type conversion operator.

Returns
angle

Definition at line 131 of file JPosition2D.hh.

132  {
133  return JAngle2D(getX(), getY());
134  }
JGEOMETRY2D::JAngle2D
Data structure for angle in two dimensions.
Definition: JAngle2D.hh:35
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

◆ operator JVersor2D()

JGEOMETRY2D::JPosition2D::operator JVersor2D ( ) const
inlineinherited

Type conversion operator.

Returns
direction

Definition at line 142 of file JPosition2D.hh.

143  {
144  return JVersor2D(getX(), getY());
145  }
JGEOMETRY2D::JVersor2D
Data structure for normalised vector in two dimensions.
Definition: JVersor2D.hh:21

◆ getDot() [1/8]

double JGEOMETRY2D::JPosition2D::getDot ( const JAngle2D &  angle) const
inlineinherited

Get dot product.

Parameters
angleangle
Returns
dot product

Definition at line 182 of file JPosition2D.hh.

183  {
184  return
185  getX() * angle.getDX() +
186  getY() * angle.getDY();
187  }
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

◆ getDot() [2/8]

double JGEOMETRY2D::JPosition2D::getDot ( const JVersor2D &  versor) const
inlineinherited

Get dot product.

Parameters
versorversor
Returns
dot product

Definition at line 196 of file JPosition2D.hh.

197  {
198  return
199  getX() * versor.getDX() +
200  getY() * versor.getDY();
201  }
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

◆ getDot() [3/8]

double JGEOMETRY2D::JVector2D::getDot
inlineinherited

Get dot product.

Parameters
pointvector
Returns
dot product

Definition at line 235 of file JVector2D.hh.

236  {
237  return
238  getX() * point.getX() +
239  getY() * point.getY();
240  }

◆ getDot() [4/8]

double JGEOMETRY2D::JVector2D::getDot ( const JVector2D &  point) const
inlineinherited

Get dot product.

Parameters
pointvector
Returns
dot product

Definition at line 235 of file JVector2D.hh.

236  {
237  return
238  getX() * point.getX() +
239  getY() * point.getY();
240  }

◆ getPerpDot() [1/8]

double JGEOMETRY2D::JPosition2D::getPerpDot ( const JAngle2D &  angle) const
inlineinherited

Get perpendicular dot product.

Parameters
angleangle
Returns
perpendicular dot product

Definition at line 210 of file JPosition2D.hh.

211  {
212  return
213  getX() * angle.getDY() -
214  getY() * angle.getDX();
215  }

◆ getPerpDot() [2/8]

double JGEOMETRY2D::JPosition2D::getPerpDot ( const JVersor2D &  dir) const
inlineinherited

Get perpendicular dot product.

Parameters
dirdirection
Returns
perpendicular dot product

Definition at line 224 of file JPosition2D.hh.

225  {
226  return
227  getX() * dir.getDY() -
228  getY() * dir.getDX();
229  }

◆ getPerpDot() [3/8]

double JGEOMETRY2D::JVector2D::getPerpDot
inlineinherited

Get perpendicular dot product.

Parameters
pointvector
Returns
perpendicular dot product

Definition at line 249 of file JVector2D.hh.

250  {
251  return
252  getX() * point.getY() -
253  getY() * point.getX();
254  }

◆ getPerpDot() [4/8]

double JGEOMETRY2D::JVector2D::getPerpDot ( const JVector2D &  point) const
inlineinherited

Get perpendicular dot product.

Parameters
pointvector
Returns
perpendicular dot product

Definition at line 249 of file JVector2D.hh.

250  {
251  return
252  getX() * point.getY() -
253  getY() * point.getX();
254  }

◆ transform() [1/3]

JVector2D& JGEOMETRY2D::JVector2D::transform
inlineinherited

Transform.

Parameters
Tmatrix
Returns
this vector

Definition at line 160 of file JVector2D.hh.

161  {
162  T.transform(__x, __y);
163 
164  return *this;
165  }

◆ transform() [2/3]

JVector2D& JGEOMETRY2D::JVector2D::transform ( const JMatrix2D &  T)
inlineinherited

Transform.

Parameters
Tmatrix
Returns
this vector

Definition at line 160 of file JVector2D.hh.

161  {
162  T.transform(__x, __y);
163 
164  return *this;
165  }

◆ getX()

double JGEOMETRY2D::JVector2D::getX ( ) const
inlineinherited

Get x position.

Returns
x position

Definition at line 63 of file JVector2D.hh.

64  {
65  return __x;
66  }

◆ getY()

double JGEOMETRY2D::JVector2D::getY ( ) const
inlineinherited

Get y position.

Returns
y position

Definition at line 74 of file JVector2D.hh.

75  {
76  return __y;
77  }

◆ add()

JVector2D& JGEOMETRY2D::JVector2D::add ( const JVector2D &  vector)
inlineinherited

Add vector.

Parameters
vectorvector
Returns
this vector

Definition at line 100 of file JVector2D.hh.

101  {
102  __x += vector.getX();
103  __y += vector.getY();
104 
105  return *this;
106  }

◆ sub()

JVector2D& JGEOMETRY2D::JVector2D::sub ( const JVector2D &  vector)
inlineinherited

Subtract vector.

Parameters
vectorvector
Returns
this vector

Definition at line 115 of file JVector2D.hh.

116  {
117  __x -= vector.getX();
118  __y -= vector.getY();
119 
120  return *this;
121  }

◆ mul() [1/2]

JVector2D& JGEOMETRY2D::JVector2D::mul ( const double  factor)
inlineinherited

Scale vector.

Parameters
factormultiplication factor
Returns
this vector

Definition at line 130 of file JVector2D.hh.

131  {
132  __x *= factor;
133  __y *= factor;
134 
135  return *this;
136  }

◆ mul() [2/2]

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()

JVector2D& JGEOMETRY2D::JVector2D::div ( const double  factor)
inlineinherited

Scale vector.

Parameters
factordivision factor
Returns
this vector

Definition at line 145 of file JVector2D.hh.

146  {
147  __x /= factor;
148  __y /= factor;
149 
150  return *this;
151  }

◆ equals() [1/2]

bool JGEOMETRY2D::JVector2D::equals ( const JVector2D &  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 175 of file JVector2D.hh.

177  {
178  return (fabs(getX() - vector.getX()) <= precision &&
179  fabs(getY() - vector.getY()) <= precision);
180  }

◆ getLengthSquared()

double JGEOMETRY2D::JVector2D::getLengthSquared ( ) const
inlineinherited

Get length squared.

Returns
square of length

Definition at line 188 of file JVector2D.hh.

189  {
190  return getX()*getX() + getY()*getY();
191  }

◆ getLength()

double JGEOMETRY2D::JVector2D::getLength ( ) const
inlineinherited

Get length.

Returns
length

Definition at line 199 of file JVector2D.hh.

200  {
201  return sqrt(getLengthSquared());
202  }
JGEOMETRY2D::JVector2D::getLengthSquared
double getLengthSquared() const
Get length squared.
Definition: JVector2D.hh:188

◆ getDirection() [1/2]

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

Get direction.

Returns
direction

Definition at line 95 of file JDirection2D.hh.

96  {
97  return static_cast<const JDirection2D&>(*this);
98  }

◆ getDirection() [2/2]

JDirection2D& JGEOMETRY2D::JDirection2D::getDirection ( )
inlineinherited

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)
inlineinherited

Set direction.

Parameters
dirdirection

Definition at line 117 of file JDirection2D.hh.

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

◆ operator JAngle2D() [2/2]

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

Type conversion operator.

Returns
angle

Definition at line 128 of file JDirection2D.hh.

129  {
130  return JAngle2D(getDX(), getDY());
131  }

◆ operator JVector2D()

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

Type conversion operator.

Returns
position

Definition at line 139 of file JDirection2D.hh.

140  {
141  return JVector2D(getDX(), getDY());
142  }

◆ transform() [3/3]

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

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

◆ getDot() [5/8]

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

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() [6/8]

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

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  }

◆ getDot() [7/8]

double JGEOMETRY2D::JVersor2D::getDot
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  }

◆ getDot() [8/8]

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() [5/8]

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

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() [6/8]

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

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  }

◆ getPerpDot() [7/8]

double JGEOMETRY2D::JVersor2D::getPerpDot
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  }

◆ getPerpDot() [8/8]

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  }

◆ 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  }

◆ equals() [2/2]

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  }

◆ 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,
JAxis2D &  axis 
)
friend

Read axis from input.

Parameters
ininput stream
axisaxis
Returns
input stream

Definition at line 233 of file JAxis2D.hh.

234  {
235  in >> static_cast<JPosition2D&> (axis);
236  in >> static_cast<JDirection2D&>(axis);
237 
238  return in;
239  }

◆ operator<< [1/2]

std::ostream& operator<< ( std::ostream &  out,
const JAxis2D &  axis 
)
friend

Write axis to output.

Parameters
outoutput stream
axisaxis
Returns
output stream

Definition at line 249 of file JAxis2D.hh.

250  {
251  out << static_cast<const JPosition2D&> (axis);
252  out << ' ';
253  out << static_cast<const JDirection2D&>(axis);
254 
255  return out;
256  }

◆ operator>> [2/2]

JReader& operator>> ( JReader &  in,
JAxis2D &  axis 
)
friend

Read axis from input.

Parameters
inreader
axisaxis
Returns
reader

Definition at line 266 of file JAxis2D.hh.

267  {
268  in >> static_cast<JPosition2D&> (axis);
269  in >> static_cast<JDirection2D&>(axis);
270 
271  return in;
272  }

◆ operator<< [2/2]

JWriter& operator<< ( JWriter &  out,
const JAxis2D &  axis 
)
friend

Write axis to output.

Parameters
outwriter
axisaxis
Returns
writer

Definition at line 282 of file JAxis2D.hh.

283  {
284  out << static_cast<const JPosition2D&> (axis);
285  out << static_cast<const JDirection2D&>(axis);
286 
287  return out;
288  }

Member Data Documentation

◆ __x

double JGEOMETRY2D::JVector2D::__x
protectedinherited

Definition at line 257 of file JVector2D.hh.

◆ __y

double JGEOMETRY2D::JVector2D::__y
protectedinherited

Definition at line 258 of file JVector2D.hh.

◆ __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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