constructors – SPHINCS

This submodule contains the implementations of the constructors of the TYPES representing the members of the Lorentz group defined in MODULE lorentz_group, presently boosts and spatial rotations

FT 08.12.2022

Uses

- utility
- Ancestors:
- lorentz_group
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Module Procedures

compute_boost_matrices compute_rotation_matrices construct_boost construct_boost_components construct_rotation construct_rotation_angles get_lambda

Module Procedures

module procedure compute_boost_matrices pure module subroutine compute_boost_matrices(this, p, lambda_s, matrix)

Computes the spatial part of the matrix of the Lorentz boost, and its whole matrix, starting from the vector $p$

Arguments

Type	Intent	Attributes		Name
class(lorentz_boost),	intent(inout)		::	this
double precision,	intent(in),	DIMENSION(3)	::	p	lambda $\times$ v
double precision,	intent(out),	DIMENSION(n_sym3x3)	::	lambda_s	Spatial part of the Lorentz boost
double precision,	intent(out),	DIMENSION(4,4)	::	matrix(0:3,0:3)	$4\times 4$ matrix representing the Lorentz boost

module procedure compute_rotation_matrices module subroutine compute_rotation_matrices(this, euler_angles, r_x, r_y, r_z, r, matrix, inv_r_x, inv_r_y, inv_r_z, inv_r, inv_matrix)

Computes the spatial part of the matrix of the Lorentz rotation, and its whole matrix, starting from the vector $p$

Arguments

Type	Intent	Attributes		Name
class(spatial_rotation),	intent(inout)		::	this	spatial_rotation object to compuet the matrices for
double precision,	intent(in),	DIMENSION(3)	::	euler_angles	lambda $\times$ v
double precision,	intent(out),	DIMENSION(3,3)	::	r_x	Rotation operator around the $x$ axis
double precision,	intent(out),	DIMENSION(3,3)	::	r_y	Rotation operator around the $y$ axis
double precision,	intent(out),	DIMENSION(3,3)	::	r_z	Rotation operator around the $z$ axis
double precision,	intent(out),	DIMENSION(3,3)	::	r	Full $3\times 3$ rotation operator
double precision,	intent(out),	DIMENSION(4,4)	::	matrix(0:3,0:3)	$4\times 4$ matrix representing the Lorentz boost
double precision,	intent(out),	DIMENSION(3,3)	::	inv_r_x	Inverse rotation operator around the $x$ axis
double precision,	intent(out),	DIMENSION(3,3)	::	inv_r_y	Inverse rotation operator around the $y$ axis
double precision,	intent(out),	DIMENSION(3,3)	::	inv_r_z	Inverse rotation operator around the $z$ axis
double precision,	intent(out),	DIMENSION(3,3)	::	inv_r	Inverse of the full $3\times 3$ rotation operator
double precision,	intent(out),	DIMENSION(4,4)	::	inv_matrix(0:3,0:3)	Inverse of the $4\times 4$ matrix representing the Lorentz boost

module procedure construct_boost module procedure construct_boost()

Construct a boost transformation from the spatial velocity

Arguments

None

module procedure construct_boost_components module procedure construct_boost_components()

Construct a boost transformation from the components of the spatial velocity

Arguments

None

module procedure construct_rotation module procedure construct_rotation()

Construct a spatial rotation from a vector containing the Euler angles

Arguments

None

module procedure construct_rotation_angles module procedure construct_rotation_angles()

Construct a spatial rotation from the Euler angles

Arguments

None

module procedure get_lambda pure module function get_lambda(this) result(lambda)

Returns the Lorentz factor lambda

Arguments

Type	Intent	Optional	Attributes		Name
class(lorentz_boost),	intent(in)			::	this	lorentz_boost object owning this FUNCTION

Return Value double precision

Lorentz factor lambda

constructors Submodule

Contents

Module Procedures

Uses

Ancestors:

Contents

Module Procedures

Module Procedures

module procedure compute_boost_matrices pure module subroutine compute_boost_matrices(this, p, lambda_s, matrix)

Arguments

module procedure compute_rotation_matrices module subroutine compute_rotation_matrices(this, euler_angles, r_x, r_y, r_z, r, matrix, inv_r_x, inv_r_y, inv_r_z, inv_r, inv_matrix)

Arguments

module procedure construct_boost module procedure construct_boost()

Arguments

module procedure construct_boost_components module procedure construct_boost_components()

Arguments

module procedure construct_rotation module procedure construct_rotation()

Arguments

module procedure construct_rotation_angles module procedure construct_rotation_angles()

Arguments

module procedure get_lambda pure module function get_lambda(this) result(lambda)

Arguments

Return Value double precision

constructors Submodule

Contents

Module Procedures

Uses

Ancestors:

Contents

Module Procedures

Module Procedures

module procedure compute_boost_matrices pure module subroutine compute_boost_matrices(this, p, lambda_s, matrix) Interface →

Arguments

module procedure compute_rotation_matrices module subroutine compute_rotation_matrices(this, euler_angles, r_x, r_y, r_z, r, matrix, inv_r_x, inv_r_y, inv_r_z, inv_r, inv_matrix) Interface →

Arguments

module procedure construct_boost module procedure construct_boost()

Arguments

module procedure construct_boost_components module procedure construct_boost_components()

Arguments

module procedure construct_rotation module procedure construct_rotation()

Arguments

module procedure construct_rotation_angles module procedure construct_rotation_angles()

Arguments

module procedure get_lambda pure module function get_lambda(this) result(lambda) Interface →

Arguments

Return Value double precision

module procedure compute_boost_matrices pure module subroutine compute_boost_matrices(this, p, lambda_s, matrix)

module procedure compute_rotation_matrices module subroutine compute_rotation_matrices(this, euler_angles, r_x, r_y, r_z, r, matrix, inv_r_x, inv_r_y, inv_r_z, inv_r, inv_matrix)

module procedure get_lambda pure module function get_lambda(this) result(lambda)