A fast and root compatible alternative to TVector3. More...

#include <B2Vector3.h>

Public Types
typedef DataType	value_type
	storage type of the vector

Public Member Functions
	B2Vector3 (void)
	empty Constructor sets everything to 0

	B2Vector3 (const DataType xVal, const DataType yVal, const DataType zVal)
	Constructor expecting 3 coordinates.

	B2Vector3 (const DataType(&coords)[3])
	Constructor using a reference.

	B2Vector3 (const DataType(*coords)[3])
	Constructor using a pointer.

	B2Vector3 (const TVector3 &tVec3)
	Constructor expecting a TVector3.

	B2Vector3 (const TVector3 *tVec3)
	Constructor expecting a pointer to a TVector3.

	B2Vector3 (const B2Vector3< DataType > &b2Vec3)
	Constructor expecting a B2Vector3 of same type.

	B2Vector3 (const B2Vector3< DataType > *b2Vec3)
	Constructor expecting a pointer to a B2Vector3.

template<typename OtherType >
	B2Vector3 (const B2Vector3< OtherType > &b2Vec3)
	Constructor expecting a B2Vector3 of different type.

template<typename OtherType >
	B2Vector3 (const B2Vector3< OtherType > *b2Vec3)
	Constructor expecting a pointer to a B2Vector3 of different type.

	B2Vector3 (const ROOT::Math::XYZVector &xyzVec)
	Constructor expecting a XYZVector.

	B2Vector3 (const ROOT::Math::XYZVector *xyzVec)
	Constructor expecting a pointer to a XYZVector.

DataType	operator() (unsigned i) const
	member access without boundary check

DataType	operator[] (unsigned i) const
	member access without boundary check

DataType &	operator() (unsigned i)
	member access without boundary check

DataType &	operator[] (unsigned i)
	member access without boundary check

B2Vector3< DataType > &	operator= (const B2Vector3< DataType > &b)
	Assignment via B2Vector3.

B2Vector3< DataType > &	operator= (const TVector3 &b)
	Assignment via TVector3.

B2Vector3< DataType > &	operator= (const ROOT::Math::XYZVector &b)
	Assignment via XYZVector.

	operator TVector3 () const
	type conversion in TVector3

	operator ROOT::Math::XYZVector () const
	type conversion in ROOT::Math::XYZVector

bool	operator== (const B2Vector3< DataType > &b) const
	Comparison for equality with a B2Vector3.

bool	operator== (const TVector3 &b) const
	Comparison for equality with a TVector3.

bool	operator== (const ROOT::Math::XYZVector &b) const
	Comparison for equality with a XYZVector.

bool	operator!= (const B2Vector3< DataType > &b) const
	Comparison != with a B2Vector3.

bool	operator!= (const TVector3 &b) const
	Comparison != with a TVector3.

bool	operator!= (const ROOT::Math::XYZVector &b) const
	Comparison != with a XYZVector.

B2Vector3< DataType > &	operator+= (const B2Vector3< DataType > &b)
	addition

B2Vector3< DataType > &	operator-= (const B2Vector3< DataType > &b)
	subtraction

B2Vector3< DataType > &	operator*= (DataType a)
	scaling with real numbers

B2Vector3< DataType >	operator- () const
	unary minus

B2Vector3< DataType >	operator+ (const B2Vector3< DataType > &b) const
	Addition of 3-vectors.

B2Vector3< DataType >	operator- (const B2Vector3< DataType > &b) const
	Subtraction of 3-vectors.

B2Vector3< DataType >	operator* (DataType a) const
	Scaling of 3-vectors with a real number.

B2Vector3< DataType >	operator/ (DataType a) const
	Scaling of 3-vectors with a real number.

DataType	operator* (const B2Vector3< DataType > &b) const
	Scalar product of 3-vectors.

DataType	Phi () const
	The azimuth angle.

DataType	Theta () const
	The polar angle.

DataType	CosTheta () const
	Cosine of the polar angle.

DataType	Mag2 () const
	The magnitude squared (rho^2 in spherical coordinate system).

DataType	Mag () const
	The magnitude (rho in spherical coordinate system).

void	SetPhi (DataType phi)
	Set phi keeping mag and theta constant.

void	SetTheta (DataType theta)
	Set theta keeping mag and phi constant.

void	SetMag (DataType mag)
	Set magnitude keeping theta and phi constant.

DataType	Perp2 () const
	The transverse component squared (R^2 in cylindrical coordinate system).

DataType	Pt () const
	The transverse component (R in cylindrical coordinate system).

DataType	Perp () const
	The transverse component (R in cylindrical coordinate system).

void	SetPerp (DataType r)
	Set the transverse component keeping phi and z constant.

DataType	Perp2 (const B2Vector3< DataType > &axis) const
	The transverse component w.r.t.

DataType	Pt (const B2Vector3< DataType > &axis) const
	The transverse component w.r.t.

DataType	Perp (const B2Vector3< DataType > &axis) const
	The transverse component w.r.t.

DataType	DeltaPhi (const B2Vector3< DataType > &v) const
	returns phi in the interval [-PI,PI)

DataType	DeltaR (const B2Vector3< DataType > &v) const
	return deltaR with respect to input-vector

DataType	DrEtaPhi (const B2Vector3< DataType > &v) const
	return DrEtaPhi with respect to input-vector

void	SetMagThetaPhi (DataType mag, DataType theta, DataType phi)
	setter with mag, theta, phi

B2Vector3< DataType >	Unit () const
	Unit vector parallel to this.

B2Vector3< DataType >	Orthogonal () const
	Vector orthogonal to this one.

DataType	Dot (const B2Vector3< DataType > &p) const
	Scalar product.

B2Vector3< DataType >	Cross (const B2Vector3< DataType > &p) const
	Cross product.

DataType	Angle (const B2Vector3< DataType > &q) const
	The angle w.r.t.

DataType	PseudoRapidity () const
	Returns the pseudo-rapidity, i.e.

DataType	Eta () const
	Returns the pseudo-rapidity.

void	RotateX (DataType angle)
	Rotates the B2Vector3 around the x-axis.

void	RotateY (DataType angle)
	Rotates the B2Vector3 around the y-axis.

void	RotateZ (DataType angle)
	Rotates the B2Vector3 around the z-axis.

void	RotateUz (const B2Vector3< DataType > &NewUzVector)
	Rotates reference frame from Uz to newUz (unit vector).

void	Rotate (DataType alpha, const B2Vector3< DataType > &v)
	Rotation around an arbitrary axis v with angle alpha.

void	Abs ()
	calculates the absolute value of the coordinates element-wise

void	Sqrt ()
	calculates the square root of the absolute values of the coordinates element-wise

DataType	at (unsigned i) const
	safe member access (with boundary check!)

DataType	x () const
	access variable X (= .at(0) without boundary check)

DataType	y () const
	access variable Y (= .at(1) without boundary check)

DataType	z () const
	access variable Z (= .at(2) without boundary check)

DataType	X () const
	access variable X (= .at(0) without boundary check)

DataType	Y () const
	access variable Y (= .at(1) without boundary check)

DataType	Z () const
	access variable Z (= .at(2) without boundary check)

DataType	Px () const
	access variable X (= .at(0) without boundary check)

DataType	Py () const
	access variable Y (= .at(1) without boundary check)

DataType	Pz () const
	access variable Z (= .at(2) without boundary check)

void	GetXYZ (Double_t *carray) const
	directly copies coordinates to an array of double

void	GetXYZ (Float_t *carray) const
	directly copies coordinates to an array of float

void	GetXYZ (TVector3 *tVec) const
	directly copies coordinates to a TVector3

void	GetXYZ (ROOT::Math::XYZVector *xyzVec) const
	directly copies coordinates to a XYZVector

TVector3	GetTVector3 () const
	returns a TVector3 containing the same coordinates

ROOT::Math::XYZVector	GetXYZVector () const
	returns a XYZVector containing the same coordinates

void	SetX (DataType x)
	set X/1st-coordinate

void	SetY (DataType y)
	set Y/2nd-coordinate

void	SetZ (DataType z)
	set Z/3rd-coordinate

void	SetXYZ (DataType x, DataType y, DataType z)
	set all coordinates using data type

void	SetXYZ (const TVector3 &tVec)
	set all coordinates using a reference to TVector3

void	SetXYZ (const TVector3 *tVec)
	set all coordinates using a pointer to TVector3

void	SetXYZ (const ROOT::Math::XYZVector &xyzVec)
	set all coordinates using a reference to XYZVector

void	SetXYZ (const ROOT::Math::XYZVector *xyzVec)
	set all coordinates using a pointer to XYZVector

std::string	PrintString (unsigned precision=4) const
	create a string containing vector in cartesian and spherical coordinates

std::string	PrintStringXYZ (unsigned precision=4) const
	create a string containing vector in cartesian coordinates

std::string	PrintStringCyl (unsigned precision=4) const
	create a string containing vector in spherical coordinates

void	Print ()
	just for backward compatibility, should not be used with new code

Static Public Member Functions
static DataType	Mpi_pi (DataType angle)
	returns given angle in the interval [-PI,PI)

static std::string	name ()
	Returns the name of the B2Vector.

Protected Attributes
DataType	m_coordinates [3]
	Make sure that we only have floating point vectors.

Detailed Description

template<typename DataType>
class Belle2::B2Vector3< DataType >

A fast and root compatible alternative to TVector3.

Goals:

vectorizable
root compatible
fixed size
featureset comparable to TVector3 (long term goal)
interface/member functions compatible to TVector3

DataType: shall be the data type one wants to store in the B2Vector (e.g. double)

Definition at line 42 of file B2Vector3.h.

Member Typedef Documentation

◆ value_type

typedef DataType value_type

storage type of the vector

Definition at line 50 of file B2Vector3.h.

Constructor & Destructor Documentation

◆ B2Vector3() [1/12]

B2Vector3 ( void )

inline

empty Constructor sets everything to 0

Definition at line 53 of file B2Vector3.h.

53: m_coordinates {static_cast<DataType>(0), static_cast<DataType>(0), static_cast<DataType>(0)} {};

Belle2::B2Vector3::m_coordinates

DataType m_coordinates[3]

Make sure that we only have floating point vectors.

Definition: B2Vector3.h:47

◆ B2Vector3() [2/12]

B2Vector3	(	const DataType	xVal,
		const DataType	yVal,
		const DataType	zVal
	)

inline

Constructor expecting 3 coordinates.

Definition at line 55 of file B2Vector3.h.

55: m_coordinates {xVal, yVal, zVal} {};

◆ B2Vector3() [3/12]

B2Vector3 ( const DataType(&) coords[3] )

inlineexplicit

Constructor using a reference.

Definition at line 57 of file B2Vector3.h.

57: m_coordinates {coords[0], coords[1], coords[2]} {};

◆ B2Vector3() [4/12]

B2Vector3 ( const DataType(*) coords[3] )

inlineexplicit

Constructor using a pointer.

Definition at line 59 of file B2Vector3.h.

59: m_coordinates {(*coords)[0], (*coords)[1], (*coords)[2]} {};

◆ B2Vector3() [5/12]

B2Vector3 ( const TVector3 & tVec3 )

inline

Constructor expecting a TVector3.

Definition at line 62 of file B2Vector3.h.

62: m_coordinates {static_cast<DataType>(tVec3.X()), static_cast<DataType>(tVec3.Y()), static_cast<DataType>(tVec3.Z())} {};

◆ B2Vector3() [6/12]

B2Vector3 ( const TVector3 * tVec3 )

inline

Constructor expecting a pointer to a TVector3.

Definition at line 65 of file B2Vector3.h.

65: m_coordinates {static_cast<DataType>(tVec3->X()), static_cast<DataType>(tVec3->Y()), static_cast<DataType>(tVec3->Z())} {};

◆ B2Vector3() [7/12]

B2Vector3 ( const B2Vector3< DataType > & b2Vec3 )

inlineexplicit

Constructor expecting a B2Vector3 of same type.

Definition at line 67 of file B2Vector3.h.

67: m_coordinates {b2Vec3.X(), b2Vec3.Y(), b2Vec3.Z()} {};

◆ B2Vector3() [8/12]

B2Vector3 ( const B2Vector3< DataType > * b2Vec3 )

inlineexplicit

Constructor expecting a pointer to a B2Vector3.

Definition at line 69 of file B2Vector3.h.

69: m_coordinates {b2Vec3->X(), b2Vec3->Y(), b2Vec3->Z()} {};

◆ B2Vector3() [9/12]

B2Vector3 ( const B2Vector3< OtherType > & b2Vec3 )

inline

Constructor expecting a B2Vector3 of different type.

Definition at line 72 of file B2Vector3.h.

72 :

73 m_coordinates {static_cast<DataType>(b2Vec3.X()), static_cast<DataType>(b2Vec3.Y()), static_cast<DataType>(b2Vec3.Z())} {};

◆ B2Vector3() [10/12]

B2Vector3 ( const B2Vector3< OtherType > * b2Vec3 )

inlineexplicit

Constructor expecting a pointer to a B2Vector3 of different type.

Definition at line 75 of file B2Vector3.h.

75 :

76 m_coordinates {static_cast<DataType>(b2Vec3->X()), static_cast<DataType>(b2Vec3->Y()), static_cast<DataType>(b2Vec3->Z())} {};

◆ B2Vector3() [11/12]

B2Vector3 ( const ROOT::Math::XYZVector & xyzVec )

inline

Constructor expecting a XYZVector.

Definition at line 79 of file B2Vector3.h.

79: m_coordinates {static_cast<DataType>(xyzVec.X()), static_cast<DataType>(xyzVec.Y()), static_cast<DataType>(xyzVec.Z())} {};

◆ B2Vector3() [12/12]

B2Vector3 ( const ROOT::Math::XYZVector * xyzVec )

inline

Constructor expecting a pointer to a XYZVector.

Definition at line 82 of file B2Vector3.h.

82: m_coordinates {static_cast<DataType>(xyzVec->X()), static_cast<DataType>(xyzVec->Y()), static_cast<DataType>(xyzVec->Z())} {};

Member Function Documentation

◆ Abs()

void Abs ( )

inline

calculates the absolute value of the coordinates element-wise

Definition at line 406 of file B2Vector3.h.

    {
      m_coordinates[0] = std::abs(m_coordinates[0]);
      m_coordinates[1] = std::abs(m_coordinates[1]);
      m_coordinates[2] = std::abs(m_coordinates[2]);
    }

◆ Angle()

DataType Angle ( const B2Vector3< DataType > & q ) const

inline

The angle w.r.t.

another B2Vector3.

Definition at line 302 of file B2Vector3.h.

    {
      const double ptot2 = Mag2() * q.Mag2();
      if (ptot2 <= 0) {
        return 0.0;
      } else {
        double arg = Dot(q) / std::sqrt(ptot2);
        if (arg >  1.0) arg =  1.0;
        if (arg < -1.0) arg = -1.0;
        return std::acos(arg);
      }
    }

◆ CosTheta()

DataType CosTheta ( ) const

inline

Cosine of the polar angle.

Definition at line 155 of file B2Vector3.h.

155{ const double pTot = Mag(); return pTot == 0 ? 1 : Z() / pTot; }

Belle2::B2Vector3::Z

DataType Z() const

access variable Z (= .at(2) without boundary check)

Definition: B2Vector3.h:435

Belle2::B2Vector3::Mag

DataType Mag() const

The magnitude (rho in spherical coordinate system).

Definition: B2Vector3.h:159

◆ Cross()

B2Vector3< DataType > Cross ( const B2Vector3< DataType > & p ) const

inline

Cross product.

Definition at line 296 of file B2Vector3.h.

    {
      return B2Vector3<DataType>(Y() * p.Z() - p.Y() * Z(), Z() * p.X() - p.Z() * X(), X() * p.Y() - p.X() * Y());
    }

◆ DeltaPhi()

DataType DeltaPhi ( const B2Vector3< DataType > & v ) const

inline

returns phi in the interval [-PI,PI)

Definition at line 228 of file B2Vector3.h.

228{ return Mpi_pi(Phi() - v.Phi()); }

Belle2::B2Vector3::Phi

DataType Phi() const

The azimuth angle.

Definition: B2Vector3.h:151

Belle2::B2Vector3::Mpi_pi

static DataType Mpi_pi(DataType angle)

returns given angle in the interval [-PI,PI)

Definition: B2Vector3.h:232

◆ DeltaR()

DataType DeltaR ( const B2Vector3< DataType > & v ) const

inline

return deltaR with respect to input-vector

Definition at line 245 of file B2Vector3.h.

    {
      const double deta = Eta() - v.Eta();
      const double dphi = DeltaPhi(v);
      return std::hypot(deta, dphi);
    }

◆ Dot()

DataType Dot ( const B2Vector3< DataType > & p ) const

inline

Scalar product.

Definition at line 290 of file B2Vector3.h.

    {
      return X() * p.X() + Y() * p.Y() + Z() * p.Z();
    }

◆ DrEtaPhi()

DataType DrEtaPhi ( const B2Vector3< DataType > & v ) const

inline

return DrEtaPhi with respect to input-vector

Definition at line 253 of file B2Vector3.h.

    {
      return DeltaR(v);
    }

◆ Eta()

DataType Eta ( ) const

inline

Returns the pseudo-rapidity.

Definition at line 331 of file B2Vector3.h.

331{ return PseudoRapidity(); }

Belle2::B2Vector3::PseudoRapidity

DataType PseudoRapidity() const

Returns the pseudo-rapidity, i.e.

Definition: B2Vector3.h:319

◆ Mag()

DataType Mag ( ) const

inline

The magnitude (rho in spherical coordinate system).

Definition at line 159 of file B2Vector3.h.

159{ return std::hypot((double)Perp(), (double)Z()); }

Belle2::B2Vector3::Perp

DataType Perp() const

The transverse component (R in cylindrical coordinate system).

Definition: B2Vector3.h:200

◆ Mag2()

DataType Mag2 ( ) const

inline

The magnitude squared (rho^2 in spherical coordinate system).

Definition at line 157 of file B2Vector3.h.

157{ return X() * X() + Y() * Y() + Z() * Z(); }

◆ Mpi_pi()

static DataType Mpi_pi ( DataType angle )

inlinestatic

returns given angle in the interval [-PI,PI)

Definition at line 232 of file B2Vector3.h.

    {
      if (std::isnan(angle)) {
        B2ERROR(name() << "::Mpi_pi: function called with NaN");
        return angle;
      }
      angle = std::remainder(angle, 2 * M_PI);
      //for compatibility with ROOT we flip the sign for exactly pi
      if (angle == M_PI) angle = -M_PI;
      return angle;
    }

◆ operator ROOT::Math::XYZVector()

operator ROOT::Math::XYZVector ( ) const

inline

type conversion in ROOT::Math::XYZVector

Definition at line 103 of file B2Vector3.h.

103{ return GetXYZVector(); }

Belle2::B2Vector3::GetXYZVector

ROOT::Math::XYZVector GetXYZVector() const

returns a XYZVector containing the same coordinates

Definition: B2Vector3.h:738

◆ operator TVector3()

operator TVector3 ( ) const

inline

type conversion in TVector3

Definition at line 101 of file B2Vector3.h.

101{ return GetTVector3(); }

Belle2::B2Vector3::GetTVector3

TVector3 GetTVector3() const

returns a TVector3 containing the same coordinates

Definition: B2Vector3.h:725

◆ operator!=() [1/3]

bool operator!= ( const B2Vector3< DataType > & b ) const

inline

Comparison != with a B2Vector3.

Definition at line 112 of file B2Vector3.h.

112{ return !(*this == b); }

◆ operator!=() [2/3]

bool operator!= ( const ROOT::Math::XYZVector & b ) const

inline

Comparison != with a XYZVector.

Definition at line 116 of file B2Vector3.h.

116{ return !(*this == b); }

◆ operator!=() [3/3]

bool operator!= ( const TVector3 & b ) const

inline

Comparison != with a TVector3.

Definition at line 114 of file B2Vector3.h.

114{ return !(*this == b); }

◆ operator()() [1/2]

DataType & operator() ( unsigned i )

inline

member access without boundary check

Definition at line 89 of file B2Vector3.h.

89{ return m_coordinates[i]; }

◆ operator()() [2/2]

DataType operator() ( unsigned i ) const

inline

member access without boundary check

Definition at line 85 of file B2Vector3.h.

85{ return m_coordinates[i]; }

◆ operator*() [1/2]

DataType operator* ( const B2Vector3< DataType > & b ) const

inline

Scalar product of 3-vectors.

Definition at line 147 of file B2Vector3.h.

147{ return Dot(b); }

◆ operator*() [2/2]

B2Vector3< DataType > operator* ( DataType a ) const

inline

Scaling of 3-vectors with a real number.

Definition at line 137 of file B2Vector3.h.

    {
      return B2Vector3<DataType>(a * X(), a * Y(), a * Z());
    }

◆ operator+()

B2Vector3< DataType > operator+ ( const B2Vector3< DataType > & b ) const

inline

Addition of 3-vectors.

Definition at line 127 of file B2Vector3.h.

    {
      return B2Vector3<DataType>(X() + b.X(), Y() + b.Y(), Z() + b.Z());
    }

◆ operator-() [1/2]

B2Vector3< DataType > operator- ( ) const

inline

unary minus

Definition at line 125 of file B2Vector3.h.

125{ return B2Vector3<DataType>(-X(), -Y(), -Z()); }

◆ operator-() [2/2]

B2Vector3< DataType > operator- ( const B2Vector3< DataType > & b ) const

inline

Subtraction of 3-vectors.

Definition at line 132 of file B2Vector3.h.

    {
      return B2Vector3<DataType>(X() - b.X(), Y() - b.Y(), Z() - b.Z());
    }

◆ operator/()

B2Vector3< DataType > operator/ ( DataType a ) const

inline

Scaling of 3-vectors with a real number.

Definition at line 142 of file B2Vector3.h.

    {
      return B2Vector3<DataType>(X() / a, Y() / a, Z() / a);
    }

◆ operator==() [1/3]

bool operator== ( const B2Vector3< DataType > & b ) const

inline

Comparison for equality with a B2Vector3.

Definition at line 106 of file B2Vector3.h.

106{ return X() == b.X() && Y() == b.Y() && Z() == b.Z(); }

◆ operator==() [2/3]

bool operator== ( const ROOT::Math::XYZVector & b ) const

inline

Comparison for equality with a XYZVector.

Definition at line 110 of file B2Vector3.h.

110{ return X() == b.X() && Y() == b.Y() && Z() == b.Z(); }

◆ operator==() [3/3]

bool operator== ( const TVector3 & b ) const

inline

Comparison for equality with a TVector3.

Definition at line 108 of file B2Vector3.h.

108{ return X() == b.X() && Y() == b.Y() && Z() == b.Z(); }

◆ operator[]() [1/2]

DataType & operator[] ( unsigned i )

inline

member access without boundary check

Definition at line 91 of file B2Vector3.h.

91{ return m_coordinates[i]; }

◆ operator[]() [2/2]

DataType operator[] ( unsigned i ) const

inline

member access without boundary check

Definition at line 87 of file B2Vector3.h.

87{ return m_coordinates[i]; }

◆ Orthogonal()

B2Vector3< DataType > Orthogonal ( ) const

inline

Vector orthogonal to this one.

Definition at line 277 of file B2Vector3.h.

    {
      const double xVal = std::abs((double)X());
      const double yVal = std::abs((double)Y());
      const double zVal = std::abs((double)Z());
      if (xVal < yVal) {
        return xVal < zVal ? B2Vector3<DataType>(0, Z(), -Y()) : B2Vector3<DataType>(Y(), -X(), 0);
      } else {
        return yVal < zVal ? B2Vector3<DataType>(-Z(), 0, X()) : B2Vector3<DataType>(Y(), -X(), 0);
      }
    }

◆ Perp() [1/2]

DataType Perp ( ) const

inline

The transverse component (R in cylindrical coordinate system).

Definition at line 200 of file B2Vector3.h.

200{ return std::hypot((double)X(), (double)Y()); }

◆ Perp() [2/2]

DataType Perp ( const B2Vector3< DataType > & axis ) const

inline

The transverse component w.r.t.

given axis.

Definition at line 226 of file B2Vector3.h.

226{ return std::sqrt(Perp2(axis)); }

Belle2::B2Vector3::Perp2

DataType Perp2() const

The transverse component squared (R^2 in cylindrical coordinate system).

Definition: B2Vector3.h:196

◆ Perp2() [1/2]

DataType Perp2 ( ) const

inline

The transverse component squared (R^2 in cylindrical coordinate system).

Definition at line 196 of file B2Vector3.h.

196{ return X() * X() + Y() * Y(); }

◆ Perp2() [2/2]

DataType Perp2 ( const B2Vector3< DataType > & axis ) const

inline

The transverse component w.r.t.

given axis squared.

Definition at line 213 of file B2Vector3.h.

    {
      const double tot = axis.Mag2();
      const double ss  = Dot(axis);
      double per = Mag2();
      if (tot > 0.0) per -= ss * ss / tot;
      if (per < 0)   per = 0;
      return per;
    }

◆ Phi()

DataType Phi ( ) const

inline

The azimuth angle.

returns phi from -pi to pi

Definition at line 151 of file B2Vector3.h.

151{ return X() == 0 && Y() == 0 ? 0 : atan2(Y(), X()); }

◆ Print()

void Print ( )

inline

just for backward compatibility, should not be used with new code

Definition at line 507 of file B2Vector3.h.

    {
      //print vector parameters
      Print(PrintString().c_str());
    }

◆ PrintString()

std::string PrintString ( unsigned precision = 4 ) const

inline

create a string containing vector in cartesian and spherical coordinates

Definition at line 481 of file B2Vector3.h.

    {
      return name() + " " + PrintStringXYZ(precision) + " " + PrintStringCyl(precision);
    }

◆ PrintStringCyl()

std::string PrintStringCyl ( unsigned precision = 4 ) const

inline

create a string containing vector in spherical coordinates

Definition at line 497 of file B2Vector3.h.

    {
      std::ostringstream output;
      output  << "(rho, theta, phi)=("
              << std::fixed << std::setprecision(precision)
              << Mag() << "," << Theta() * 180. / M_PI << "," << Phi() * 180. / M_PI << ")";
      return output.str();
    }

◆ PrintStringXYZ()

std::string PrintStringXYZ ( unsigned precision = 4 ) const

inline

create a string containing vector in cartesian coordinates

Definition at line 487 of file B2Vector3.h.

    {
      std::ostringstream output;
      output  << "(x,y,z)=("
              << std::fixed << std::setprecision(precision)
              << X() << "," << Y() << "," << Z() << ")";
      return output.str();
    }

◆ PseudoRapidity()

DataType PseudoRapidity ( ) const

inline

Returns the pseudo-rapidity, i.e.

-ln(tan(theta/2)).

for the sake of keeping compatibility to TVector3, the hardcoded values are not replaced by something more intelligent

Definition at line 319 of file B2Vector3.h.

    {
      const double cosTheta = CosTheta();
      if (std::abs(cosTheta) < 1) return -0.5 * std::log((1.0 - cosTheta) / (1.0 + cosTheta));
      if (Z()  == 0) return 0;
      //B2WARNING(name() << "::PseudoRapidity: transverse momentum = 0! return +/- 10e10");
      if (Z() > 0) return 10e10;
      else        return -10e10;
    }

◆ Pt() [1/2]

DataType Pt ( ) const

inline

The transverse component (R in cylindrical coordinate system).

Definition at line 198 of file B2Vector3.h.

198{ return Perp(); }

◆ Pt() [2/2]

DataType Pt ( const B2Vector3< DataType > & axis ) const

inline

The transverse component w.r.t.

given axis.

Definition at line 224 of file B2Vector3.h.

224{ return Perp(axis); }

◆ Px()

DataType Px ( ) const

inline

access variable X (= .at(0) without boundary check)

Definition at line 437 of file B2Vector3.h.

437{ return x(); }

Belle2::B2Vector3::x

DataType x() const

access variable X (= .at(0) without boundary check)

Definition: B2Vector3.h:425

◆ Py()

DataType Py ( ) const

inline

access variable Y (= .at(1) without boundary check)

Definition at line 439 of file B2Vector3.h.

439{ return y(); }

Belle2::B2Vector3::y

DataType y() const

access variable Y (= .at(1) without boundary check)

Definition: B2Vector3.h:427

◆ Pz()

DataType Pz ( ) const

inline

access variable Z (= .at(2) without boundary check)

Definition at line 441 of file B2Vector3.h.

441{ return z(); }

Belle2::B2Vector3::z

DataType z() const

access variable Z (= .at(2) without boundary check)

Definition: B2Vector3.h:429

◆ Rotate()

void Rotate	(	DataType	alpha,
		const B2Vector3< DataType > &	v
	)

inline

Rotation around an arbitrary axis v with angle alpha.

With n = (n1, n2, n3)^T being the unit vector of v, the rotation matrix R(n, alpha) with ca = cos(alpha) and sa = sin(alpha) reads / n1^2*(1-ca)+ca n1*n2*(1-ca)-n3*sa n1*n3*(1-ca)+n2*sa \ R(n, alpha) = | n2*n1*(1-ca)+n3*sa n2^2*(1-ca)+ca n2*n3*(1-ca)-n1*sa | \ n3*n1*(1-ca)-n2*sa n3*n2*(1-ca)+n1*sa n3^2*(1-ca)+ca / . Using this rotation matrix, the full rotation of a vector b (= this) around the axis v by angle alpha can be written as R(n, alpha)*b = n(n*b) + cos(alpha) * (n x b) x n + sin(alpha) * (n x b).

Definition at line 399 of file B2Vector3.h.

    {
      B2Vector3<DataType> n = v.Unit();
      *this = (n * (n.Dot(*this)) + cos(alpha) * ((n.Cross(*this)).Cross(n)) + sin(alpha) * (n.Cross(*this)));
    }

◆ RotateUz()

void RotateUz ( const B2Vector3< DataType > & NewUzVector )

inline

Rotates reference frame from Uz to newUz (unit vector).

Definition at line 370 of file B2Vector3.h.

    {
      // NewUzVector must be normalized !
 
      const double u1 = NewUzVector.X();
      const double u2 = NewUzVector.Y();
      const double u3 = NewUzVector.Z();
      double up = u1 * u1 + u2 * u2;
 
      if (up) {
        up = std::sqrt(up);
        DataType px = X(),  py = Y(),  pz = Z();
        m_coordinates[0] = (u1 * u3 * px - u2 * py + u1 * up * pz) / up;
        m_coordinates[1] = (u2 * u3 * px + u1 * py + u2 * up * pz) / up;
        m_coordinates[2] = (u3 * u3 * px -      px + u3 * up * pz) / up;
      } else if (u3 < 0.) {
        m_coordinates[0] = -m_coordinates[0];
        m_coordinates[2] = -m_coordinates[2];
      }
    }

◆ RotateX()

void RotateX ( DataType angle )

inline

Rotates the B2Vector3 around the x-axis.

Definition at line 335 of file B2Vector3.h.

    {
      //rotate vector around X
      const double s = std::sin((double)angle);
      const double c = std::cos((double)angle);
      const double yOld = Y();
      m_coordinates[1] = c * yOld - s * Z();
      m_coordinates[2] = s * yOld + c * Z();
    }

◆ RotateY()

void RotateY ( DataType angle )

inline

Rotates the B2Vector3 around the y-axis.

Definition at line 347 of file B2Vector3.h.

    {
      //rotate vector around Y
      const double s = std::sin((double)angle);
      const double c = std::cos((double)angle);
      const double zOld = Z();
      m_coordinates[0] = s * zOld + c * X();
      m_coordinates[2] = c * zOld - s * X();
    }

◆ RotateZ()

void RotateZ ( DataType angle )

inline

Rotates the B2Vector3 around the z-axis.

Definition at line 359 of file B2Vector3.h.

    {
      //rotate vector around Z
      const double s = std::sin((double)angle);
      const double c = std::cos((double)angle);
      const double xOld = X();
      m_coordinates[0] = c * xOld - s * Y();
      m_coordinates[1] = s * xOld + c * Y();
    }

◆ SetMag()

void SetMag ( DataType mag )

inline

Set magnitude keeping theta and phi constant.

Definition at line 182 of file B2Vector3.h.

    {
      double factor = Mag();
      if (factor == 0) {
        B2WARNING(name() << "::SetMag: zero vector can't be stretched");
      } else {
        factor = mag / factor;
        SetX(X()*factor);
        SetY(Y()*factor);
        SetZ(Z()*factor);
      }
    }

◆ SetMagThetaPhi()

void SetMagThetaPhi	(	DataType	mag,
		DataType	theta,
		DataType	phi
	)

inline

setter with mag, theta, phi

Definition at line 259 of file B2Vector3.h.

    {
      const double amag = std::abs(mag);
      const double sinTheta = std::sin((double)theta);
      m_coordinates[0] = amag * sinTheta * std::cos((double)phi);
      m_coordinates[1] = amag * sinTheta * std::sin((double)phi);
      m_coordinates[2] = amag * std::cos((double)theta);
    }

◆ SetPerp()

void SetPerp ( DataType r )

inline

Set the transverse component keeping phi and z constant.

Definition at line 203 of file B2Vector3.h.

    {
      const double p = Perp();
      if (p != 0.0) {
        m_coordinates[0] *= r / p;
        m_coordinates[1] *= r / p;
      }
    }

◆ SetPhi()

void SetPhi ( DataType phi )

inline

Set phi keeping mag and theta constant.

Definition at line 162 of file B2Vector3.h.

    {
      const double perp   = Perp();
      SetX(perp * cos((double)phi));
      SetY(perp * sin((double)phi));
    }

◆ SetTheta()

void SetTheta ( DataType theta )

inline

Set theta keeping mag and phi constant.

Definition at line 170 of file B2Vector3.h.

    {
      const double ma   = Mag();
      const double ph   = Phi();
      const double ctheta = std::cos((double) theta);
      const double stheta = std::sin((double) theta);
      SetX(ma * stheta * std::cos(ph));
      SetY(ma * stheta * std::cos(ph));
      SetZ(ma * ctheta);
    }

◆ SetX()

void SetX ( DataType x )

inline

set X/1st-coordinate

Definition at line 457 of file B2Vector3.h.

457{ m_coordinates[0] = x; }

◆ SetXYZ()

void SetXYZ	(	DataType	x,
		DataType	y,
		DataType	z
	)

inline

set all coordinates using data type

Definition at line 464 of file B2Vector3.h.

    {
      SetX(x); SetY(y); SetZ(z);
    }

◆ SetY()

void SetY ( DataType y )

inline

set Y/2nd-coordinate

Definition at line 459 of file B2Vector3.h.

459{ m_coordinates[1] = y; }

◆ SetZ()

void SetZ ( DataType z )

inline

set Z/3rd-coordinate

Definition at line 461 of file B2Vector3.h.

461{ m_coordinates[2] = z; }

◆ Sqrt()

void Sqrt ( )

inline

calculates the square root of the absolute values of the coordinates element-wise

Definition at line 414 of file B2Vector3.h.

    {
      Abs();
      m_coordinates[0] = std::sqrt(m_coordinates[0]);
      m_coordinates[1] = std::sqrt(m_coordinates[1]);
      m_coordinates[2] = std::sqrt(m_coordinates[2]);
    }

◆ Theta()

DataType Theta ( ) const

inline

The polar angle.

Definition at line 153 of file B2Vector3.h.

153{ return X() == 0 && Y() == 0 && Z() == 0 ? 0 : atan2(Perp(), Z()); }

◆ Unit()

B2Vector3< DataType > Unit ( ) const

inline

Unit vector parallel to this.

Definition at line 269 of file B2Vector3.h.

    {
      const double  tot = Mag2();
      B2Vector3<DataType> p(X(), Y(), Z());
      return tot > 0.0 ? p *= (1.0 / std::sqrt(tot)) : p;
    }

◆ x()

DataType x ( ) const

inline

access variable X (= .at(0) without boundary check)

Definition at line 425 of file B2Vector3.h.

425{ return m_coordinates[0]; }

◆ X()

DataType X ( ) const

inline

access variable X (= .at(0) without boundary check)

Definition at line 431 of file B2Vector3.h.

431{ return x(); }

◆ y()

DataType y ( ) const

inline

access variable Y (= .at(1) without boundary check)

Definition at line 427 of file B2Vector3.h.

427{ return m_coordinates[1]; }

◆ Y()

DataType Y ( ) const

inline

access variable Y (= .at(1) without boundary check)

Definition at line 433 of file B2Vector3.h.

433{ return y(); }

◆ z()

DataType z ( ) const

inline

access variable Z (= .at(2) without boundary check)

Definition at line 429 of file B2Vector3.h.

429{ return m_coordinates[2]; }

◆ Z()

DataType Z ( ) const

inline

access variable Z (= .at(2) without boundary check)

Definition at line 435 of file B2Vector3.h.

435{ return z(); }

Member Data Documentation

◆ m_coordinates

DataType m_coordinates[3]

protected

Make sure that we only have floating point vectors.

contains the coordinates in given data type

Definition at line 47 of file B2Vector3.h.

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

framework/geometry/include/B2Vector3.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ value_type

Constructor & Destructor Documentation

◆ B2Vector3() [1/12]

◆ B2Vector3() [2/12]

◆ B2Vector3() [3/12]

◆ B2Vector3() [4/12]

◆ B2Vector3() [5/12]

◆ B2Vector3() [6/12]

◆ B2Vector3() [7/12]

◆ B2Vector3() [8/12]

◆ B2Vector3() [9/12]

◆ B2Vector3() [10/12]

◆ B2Vector3() [11/12]

◆ B2Vector3() [12/12]

Member Function Documentation

◆ Abs()

◆ Angle()

◆ CosTheta()

◆ Cross()

◆ DeltaPhi()

◆ DeltaR()

◆ Dot()

◆ DrEtaPhi()

◆ Eta()

◆ Mag()

◆ Mag2()

◆ Mpi_pi()

◆ operator ROOT::Math::XYZVector()

◆ operator TVector3()

◆ operator!=() [1/3]

◆ operator!=() [2/3]

◆ operator!=() [3/3]

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator+()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator/()

◆ operator==() [1/3]

◆ operator==() [2/3]

◆ operator==() [3/3]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ Orthogonal()

◆ Perp() [1/2]

◆ Perp() [2/2]

◆ Perp2() [1/2]

◆ Perp2() [2/2]

◆ Phi()

◆ Print()

◆ PrintString()

◆ PrintStringCyl()

◆ PrintStringXYZ()

◆ PseudoRapidity()

◆ Pt() [1/2]

◆ Pt() [2/2]

◆ Px()

◆ Py()

◆ Pz()

◆ Rotate()

◆ RotateUz()

◆ RotateX()

◆ RotateY()

◆ RotateZ()

◆ SetMag()

◆ SetMagThetaPhi()

◆ SetPerp()

◆ SetPhi()

◆ SetTheta()

◆ SetX()

◆ SetXYZ()

◆ SetY()