Functions
double	cast (const Vector3 &position, AxisDirection aDir)
	Helper method to extract the binning value from a 3D vector.
SquareMatrix3	cross (const SquareMatrix3 &m, const Vector3 &v)
	Calculates column-wise cross products of a matrix and a vector and stores the result column-wise in a matrix.
template<typename Derived> requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == 3)
double	deltaR (const Eigen::MatrixBase< Derived > &v1, const Eigen::MatrixBase< Derived > &v2)
	Calculate the deltaR between two vectors.
template<typename Derived> requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == -1)
double	eta (const Eigen::MatrixBase< Derived > &v) noexcept
	Calculate the pseudorapidity for a vector with dynamic size.
template<typename Derived> requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == 3)
double	eta (const Eigen::MatrixBase< Derived > &v) noexcept
	Calculate the pseudorapidity for a vector with static size.
std::array< double, 4 >	evaluateTrigonomics (const Vector3 &direction)
	Fast evaluation of trigonomic functions.
std::pair< double, double >	incidentAngles (const Acts::Vector3 &direction, const Acts::RotationMatrix3 &globalToLocal)
	Calculate the incident angles of a vector with in a given reference frame.
template<typename vector3_t>
auto	makeVector4 (const Eigen::MatrixBase< vector3_t > &vec3, typename vector3_t::Scalar w) -> Eigen::Matrix< typename vector3_t::Scalar, 4, 1 >
	Construct a four-vector from a three-vector and scalar fourth component.
template<typename Derived>
double	perp (const Eigen::MatrixBase< Derived > &v) noexcept
	Calculate radius in the transverse (xy) plane of a vector.
template<typename Derived> requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == -1)
double	phi (const Eigen::MatrixBase< Derived > &v) noexcept
	Calculate phi (transverse plane angle) from compatible Eigen types with dynamic size.
template<typename Derived> requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime >= 2)
double	phi (const Eigen::MatrixBase< Derived > &v) noexcept
	Calculate phi (transverse plane angle) from compatible Eigen types with static size.
template<typename T> requires requires { { v.phi() } -> std::floating_point; }
double	phi (const T &v) noexcept
	Calculate phi (transverse plane angle) from anything implementing a method like phi() returning anything convertible to double.
auto	position (const FreeVector &params)
	Access the three-position components in a free parameters vector.
auto	position (const Vector4 &pos4)
	Access the three-position components in a four-position vector.
template<typename Derived> requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == -1)
double	theta (const Eigen::MatrixBase< Derived > &v) noexcept
	Calculate the theta angle (longitudinal w.r.t.
template<typename Derived> requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == 3)
double	theta (const Eigen::MatrixBase< Derived > &v) noexcept
	Calculate the theta angle (longitudinal w.r.t.

Function Documentation

◆ cast()

double Acts::VectorHelpers::cast	(	const Vector3 &	position,
		AxisDirection	aDir )

Helper method to extract the binning value from a 3D vector.

For this method a 3D vector is required to guarantee all potential axis directions to be casted from

Parameters

position	is the position in global
aDir	is the axis direction to be extracted

Returns: the value of the binning direction

◆ cross()

SquareMatrix3 Acts::VectorHelpers::cross	(	const SquareMatrix3 &	m,
		const Vector3 &	v )

Calculates column-wise cross products of a matrix and a vector and stores the result column-wise in a matrix.

Parameters

[in]	m	Matrix that will be used for cross products
[in]	v	Vector for cross products

Returns: Constructed matrix

◆ deltaR()

template<typename Derived>
requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == 3)

double Acts::VectorHelpers::deltaR	(	const Eigen::MatrixBase< Derived > &	v1,
		const Eigen::MatrixBase< Derived > &	v2 )

Calculate the deltaR between two vectors.

Note: DeltaR is defined as sqrt(deltaPhi^2 + deltaEta^2)

Template Parameters

Derived Eigen derived concrete type

Parameters

v1	First vector
v2	Second vector

Returns: The deltaR value

◆ eta() [1/2]

template<typename Derived>
requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == -1)

double Acts::VectorHelpers::eta ( const Eigen::MatrixBase< Derived > & v )

noexcept

Calculate the pseudorapidity for a vector with dynamic size.

Template Parameters

Derived Eigen derived concrete type with dynamic size

Parameters

v	Any vector like Eigen type with dynamic size

Note: Will abort execution if the number of rows of v is not exactly 3.

Returns: The pseudorapidity value

◆ eta() [2/2]

template<typename Derived>
requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == 3)

double Acts::VectorHelpers::eta ( const Eigen::MatrixBase< Derived > & v )

noexcept

Calculate the pseudorapidity for a vector with static size.

Template Parameters

Derived Eigen derived concrete type with compile-time size == 3

Parameters

v	Any 3D vector like Eigen type with static size

Returns: The pseudorapidity value

◆ evaluateTrigonomics()

std::array< double, 4 > Acts::VectorHelpers::evaluateTrigonomics ( const Vector3 & direction )

Fast evaluation of trigonomic functions.

Parameters

direction for this evaluatoin

Returns: cos(phi), sin(phi), cos(theta), sin(theta), 1/sin(theta)

◆ incidentAngles()

std::pair< double, double > Acts::VectorHelpers::incidentAngles	(	const Acts::Vector3 &	direction,
		const Acts::RotationMatrix3 &	globalToLocal )

Calculate the incident angles of a vector with in a given reference frame.

Template Parameters

Derived Eigen derived concrete type

Parameters

direction	The crossing direction in the global frame
globalToLocal	Rotation from global to local frame

Returns: The angles of incidence in the two normal planes

◆ makeVector4()

template<typename vector3_t>

auto Acts::VectorHelpers::makeVector4	(	const Eigen::MatrixBase< vector3_t > &	vec3,
		typename vector3_t::Scalar	w )->Eigen::Matrix< typenamevector3_t::Scalar, 4, 1 >

Construct a four-vector from a three-vector and scalar fourth component.

◆ perp()

template<typename Derived>

double Acts::VectorHelpers::perp ( const Eigen::MatrixBase< Derived > & v )

noexcept

Calculate radius in the transverse (xy) plane of a vector.

Template Parameters

Derived Eigen derived concrete type

Parameters

v	Any vector like Eigen type, static or dynamic

Note: Will static assert that the number of rows of v is at least 2, or in case of dynamic size, will abort execution if that is not the case.

Returns: The transverse radius value.

◆ phi() [1/3]

template<typename Derived>
requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == -1)

double Acts::VectorHelpers::phi ( const Eigen::MatrixBase< Derived > & v )

noexcept

Calculate phi (transverse plane angle) from compatible Eigen types with dynamic size.

Template Parameters

Derived Eigen derived concrete type with dynamic size

Parameters

v	Any vector like Eigen type with dynamic size

Note: Will abort execution if the number of rows of v is less than 2.

Returns: The value of the angle in the transverse plane.

◆ phi() [2/3]

template<typename Derived>
requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime >= 2)

double Acts::VectorHelpers::phi ( const Eigen::MatrixBase< Derived > & v )

noexcept

Calculate phi (transverse plane angle) from compatible Eigen types with static size.

Template Parameters

Derived Eigen derived concrete type with compile-time known size >= 2

Parameters

v	Any vector like Eigen type with static size

Returns: The value of the angle in the transverse plane.

◆ phi() [3/3]

template<typename T>
requires requires { { v.phi() } -> std::floating_point; }

double Acts::VectorHelpers::phi ( const T & v )

noexcept

Calculate phi (transverse plane angle) from anything implementing a method like phi() returning anything convertible to double.

Template Parameters

T	anything that has a phi method

Parameters

v	Any type that implements a phi method

Returns: The phi value

◆ position() [1/2]

auto Acts::VectorHelpers::position ( const FreeVector & params )

Access the three-position components in a free parameters vector.

◆ position() [2/2]

auto Acts::VectorHelpers::position ( const Vector4 & pos4 )

Access the three-position components in a four-position vector.

◆ theta() [1/2]

template<typename Derived>
requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == -1)

double Acts::VectorHelpers::theta ( const Eigen::MatrixBase< Derived > & v )

noexcept

Calculate the theta angle (longitudinal w.r.t.

z axis) of a vector with dynamic size

Template Parameters

Derived Eigen derived concrete type with dynamic size

Parameters

v	Any vector like Eigen type with dynamic size

Note: Will abort execution if the number of rows of v is not exactly 3.

Returns: The theta value

◆ theta() [2/2]

template<typename Derived>
requires (Eigen::MatrixBase<Derived>::RowsAtCompileTime == 3)

double Acts::VectorHelpers::theta ( const Eigen::MatrixBase< Derived > & v )

noexcept

Calculate the theta angle (longitudinal w.r.t.

z axis) of a vector with static size

Template Parameters

Derived Eigen derived concrete type with compile-time size == 3

Parameters

v	Any 3D vector like Eigen type with static size

Returns: The theta value

Functions

Function Documentation

◆ cast()

◆ cross()

◆ deltaR()

◆ eta() [1/2]

◆ eta() [2/2]

◆ evaluateTrigonomics()

◆ incidentAngles()

◆ makeVector4()

◆ perp()

◆ phi() [1/3]

◆ phi() [2/3]

◆ phi() [3/3]

◆ position() [1/2]

◆ position() [2/2]

◆ theta() [1/2]

◆ theta() [2/2]