Geant4 9.6.0
Toolkit for the simulation of the passage of particles through matter
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Public Member Functions | Protected Attributes | Related Functions | List of all members
HepGeom::Plane3D< T > Class Template Reference

#include <Plane3D.h>

Public Member Functions

 Plane3D ()
 
 Plane3D (T a1, T b1, T c1, T d1)
 
 Plane3D (const Normal3D< T > &n, const Point3D< T > &p)
 
 Plane3D (const Point3D< T > &p1, const Point3D< T > &p2, const Point3D< T > &p3)
 
 Plane3D (const Plane3D< float > &p)
 
 ~Plane3D ()
 
Plane3D< T > & operator= (const Plane3D< T > &p)
 
T a () const
 
T b () const
 
T c () const
 
T d () const
 
Normal3D< T > normal () const
 
Plane3D< T > & normalize ()
 
T distance (const Point3D< T > &p) const
 
Point3D< T > point (const Point3D< T > &p) const
 
Point3D< T > point () const
 
bool operator== (const Plane3D< T > &p) const
 
bool operator!= (const Plane3D< T > &p) const
 
Plane3D< T > & transform (const Transform3D &m)
 

Protected Attributes

T a_
 
T b_
 
T c_
 
T d_
 

Related Functions

(Note that these are not member functions.)

std::ostream & operator<< (std::ostream &os, const Plane3D< float > &p)
 
std::ostream & operator<< (std::ostream &os, const Plane3D< double > &p)
 

Detailed Description

template<class T>
class HepGeom::Plane3D< T >

Template class for geometrical plane in 3D.

Author
Evgeni Chernyaev Evgue.nosp@m.ni.T.nosp@m.chern.nosp@m.iaev.nosp@m.@cern.nosp@m..ch

Definition at line 29 of file Plane3D.h.

Constructor & Destructor Documentation

◆ Plane3D() [1/5]

template<class T >
HepGeom::Plane3D< T >::Plane3D ( )
inline

Default constructor - creates plane z=0.

Definition at line 36 of file Plane3D.h.

36: a_(0.), b_(0.), c_(1.), d_(0.) {}

◆ Plane3D() [2/5]

template<class T >
HepGeom::Plane3D< T >::Plane3D ( T  a1,
T  b1,
T  c1,
T  d1 
)
inline

Constructor from four numbers - creates plane a*x+b*y+c*z+d=0.

Definition at line 40 of file Plane3D.h.

40: a_(a1), b_(b1), c_(c1), d_(d1) {}

◆ Plane3D() [3/5]

template<class T >
HepGeom::Plane3D< T >::Plane3D ( const Normal3D< T > &  n,
const Point3D< T > &  p 
)
inline

Constructor from normal and point.

Definition at line 44 of file Plane3D.h.

45 : a_(n.x()), b_(n.y()), c_(n.z()), d_(-n*p) {}

◆ Plane3D() [4/5]

template<class T >
HepGeom::Plane3D< T >::Plane3D ( const Point3D< T > &  p1,
const Point3D< T > &  p2,
const Point3D< T > &  p3 
)
inline

Constructor from three points.

Definition at line 49 of file Plane3D.h.

51 {
52 Normal3D<T> n = (p2-p1).cross(p3-p1);
53 a_ = n.x(); b_ = n.y(); c_ = n.z(); d_ = -n*p1;
54 }

◆ Plane3D() [5/5]

template<class T >
HepGeom::Plane3D< T >::Plane3D ( const Plane3D< float > &  p)
inline

Copy constructor. Plane3D<double> has two constructors: from Plane3D<double> (provided by compiler) and from Plane3D<float> (defined in this file). Plane3D<float> has only the last one.

Definition at line 62 of file Plane3D.h.

63 : a_(p.a_), b_(p.b_), c_(p.c_), d_(p.d_) {}

◆ ~Plane3D()

template<class T >
HepGeom::Plane3D< T >::~Plane3D ( )
inline

Destructor.

Definition at line 67 of file Plane3D.h.

67{};

Member Function Documentation

◆ a()

template<class T >
T HepGeom::Plane3D< T >::a ( ) const
inline

Returns the a-coefficient in the plane equation: a*x+b*y+c*z+d=0.

Definition at line 77 of file Plane3D.h.

77{ return a_; }

Referenced by HepGeom::Plane3D< T >::distance(), HepGeom::Plane3D< T >::operator!=(), HepGeom::Plane3D< T >::operator<<(), HepGeom::Plane3D< T >::operator==(), and HepGeom::Plane3D< T >::point().

◆ b()

template<class T >
T HepGeom::Plane3D< T >::b ( ) const
inline

Returns the b-coefficient in the plane equation: a*x+b*y+c*z+d=0.

Definition at line 80 of file Plane3D.h.

80{ return b_; }

Referenced by HepGeom::Plane3D< T >::distance(), HepGeom::Plane3D< T >::operator!=(), HepGeom::Plane3D< T >::operator<<(), HepGeom::Plane3D< T >::operator==(), and HepGeom::Plane3D< T >::point().

◆ c()

template<class T >
T HepGeom::Plane3D< T >::c ( ) const
inline

Returns the c-coefficient in the plane equation: a*x+b*y+c*z+d=0.

Definition at line 83 of file Plane3D.h.

83{ return c_; }

Referenced by HepGeom::Plane3D< T >::distance(), HepGeom::Plane3D< T >::operator!=(), HepGeom::Plane3D< T >::operator<<(), HepGeom::Plane3D< T >::operator==(), and HepGeom::Plane3D< T >::point().

◆ d()

template<class T >
T HepGeom::Plane3D< T >::d ( ) const
inline

Returns the free member of the plane equation: a*x+b*y+c*z+d=0.

Definition at line 86 of file Plane3D.h.

86{ return d_; }

Referenced by HepGeom::Plane3D< T >::distance(), HepGeom::Plane3D< T >::operator!=(), HepGeom::Plane3D< T >::operator<<(), HepGeom::Plane3D< T >::operator==(), and HepGeom::Plane3D< T >::point().

◆ distance()

template<class T >
T HepGeom::Plane3D< T >::distance ( const Point3D< T > &  p) const
inline

Returns distance to the point.

Definition at line 102 of file Plane3D.h.

102 {
103 return a()*p.x() + b()*p.y() + c()*p.z() + d();
104 }
HepGeom::Plane3D::d
T d() const
Definition: Plane3D.h:86
HepGeom::Plane3D::b
T b() const
Definition: Plane3D.h:80
HepGeom::Plane3D::c
T c() const
Definition: Plane3D.h:83
HepGeom::Plane3D::a
T a() const
Definition: Plane3D.h:77

Referenced by HepGeom::Plane3D< T >::point().

◆ normal()

template<class T >
Normal3D< T > HepGeom::Plane3D< T >::normal ( ) const
inline

Returns normal.

Definition at line 90 of file Plane3D.h.

90{ return Normal3D<T>(a_,b_,c_); }

Referenced by G4ViewParameters::SceneModifyingCommands(), G4ErrorSurfaceTrajParam::SetParameters(), and HepGeom::Plane3D< T >::transform().

◆ normalize()

template<class T >
Plane3D< T > & HepGeom::Plane3D< T >::normalize ( )
inline

Normalization.

Definition at line 94 of file Plane3D.h.

94 {
95 double ll = std::sqrt(a_*a_ + b_*b_ + c_*c_);
96 if (ll > 0.) { a_ /= ll; b_ /= ll; c_ /= ll, d_ /= ll; }
97 return *this;
98 }

◆ operator!=()

template<class T >
bool HepGeom::Plane3D< T >::operator!= ( const Plane3D< T > &  p) const
inline

Test for inequality.

Definition at line 128 of file Plane3D.h.

128 {
129 return a() != p.a() || b() != p.b() || c() != p.c() || d() != p.d();
130 }

◆ operator=()

template<class T >
Plane3D< T > & HepGeom::Plane3D< T >::operator= ( const Plane3D< T > &  p)
inline

Assignment.

Definition at line 71 of file Plane3D.h.

71 {
72 a_ = p.a_; b_ = p.b_; c_ = p.c_; d_ = p.d_; return *this;
73 }

◆ operator==()

template<class T >
bool HepGeom::Plane3D< T >::operator== ( const Plane3D< T > &  p) const
inline

Test for equality.

Definition at line 122 of file Plane3D.h.

122 {
123 return a() == p.a() && b() == p.b() && c() == p.c() && d() == p.d();
124 }

◆ point() [1/2]

template<class T >
Point3D< T > HepGeom::Plane3D< T >::point ( ) const
inline

Returns projection of the origin to the plane.

Definition at line 115 of file Plane3D.h.

115 {
116 T k = -d()/(a()*a()+b()*b()+c()*c());
117 return Point3D<T>(a()*k, b()*k, c()*k);
118 }

Referenced by HepGeom::Plane3D< T >::transform().

◆ point() [2/2]

template<class T >
Point3D< T > HepGeom::Plane3D< T >::point ( const Point3D< T > &  p) const
inline

Returns projection of the point to the plane.

Definition at line 108 of file Plane3D.h.

108 {
109 T k = distance(p)/(a()*a()+b()*b()+c()*c());
110 return Point3D<T>(p.x()-a()*k, p.y()-b()*k, p.z()-c()*k);
111 }
HepGeom::Plane3D::distance
T distance(const Point3D< T > &p) const
Definition: Plane3D.h:102

Referenced by G4ViewParameters::SceneModifyingCommands().

◆ transform()

template<class T >
Plane3D< T > & HepGeom::Plane3D< T >::transform ( const Transform3D &  m)
inline

Transformation by Transform3D.

Definition at line 134 of file Plane3D.h.

134 {
135 Normal3D<T> n = normal();
136 n.transform(m);
137 d_ = -n*point().transform(m); a_ = n.x(); b_ = n.y(); c_ = n.z();
138 return *this;
139 }
HepGeom::Plane3D::normal
Normal3D< T > normal() const
Definition: Plane3D.h:90
HepGeom::Plane3D::point
Point3D< T > point() const
Definition: Plane3D.h:115

Friends And Related Function Documentation

◆ operator<<() [1/2]

template<class T >
std::ostream & operator<< ( std::ostream &  os,
const Plane3D< double > &  p 
)
related

Output to the stream.

Definition at line 28 of file Plane3D.cc.

29 {
30 return os
31 << '(' << p.a() << ',' << p.b() << ',' << p.c() << ',' << p.d() << ')';
32 }

◆ operator<<() [2/2]

template<class T >
std::ostream & operator<< ( std::ostream &  os,
const Plane3D< float > &  p 
)
related

Output to the stream.

Definition at line 21 of file Plane3D.cc.

22 {
23 return os
24 << '(' << p.a() << ',' << p.b() << ',' << p.c() << ',' << p.d() << ')';
25 }

Member Data Documentation

◆ a_

template<class T >
T HepGeom::Plane3D< T >::a_
protected

Definition at line 31 of file Plane3D.h.

Referenced by HepGeom::Plane3D< T >::a(), HepGeom::Plane3D< T >::normal(), HepGeom::Plane3D< T >::normalize(), HepGeom::Plane3D< T >::operator=(), HepGeom::Plane3D< T >::Plane3D(), and HepGeom::Plane3D< T >::transform().

◆ b_

template<class T >
T HepGeom::Plane3D< T >::b_
protected

Definition at line 31 of file Plane3D.h.

Referenced by HepGeom::Plane3D< T >::b(), HepGeom::Plane3D< T >::normal(), HepGeom::Plane3D< T >::normalize(), HepGeom::Plane3D< T >::operator=(), HepGeom::Plane3D< T >::Plane3D(), and HepGeom::Plane3D< T >::transform().

◆ c_

template<class T >
T HepGeom::Plane3D< T >::c_
protected

Definition at line 31 of file Plane3D.h.

Referenced by HepGeom::Plane3D< T >::c(), HepGeom::Plane3D< T >::normal(), HepGeom::Plane3D< T >::normalize(), HepGeom::Plane3D< T >::operator=(), HepGeom::Plane3D< T >::Plane3D(), and HepGeom::Plane3D< T >::transform().

◆ d_

template<class T >
T HepGeom::Plane3D< T >::d_
protected

Definition at line 31 of file Plane3D.h.

Referenced by HepGeom::Plane3D< T >::d(), HepGeom::Plane3D< T >::normalize(), HepGeom::Plane3D< T >::operator=(), HepGeom::Plane3D< T >::Plane3D(), and HepGeom::Plane3D< T >::transform().

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